@@alanknotts5975 teachers generally aren't paid enough. That's a different discussion. Math teachers are in short supply. Often those who aren't qualified (social studies or even PE) are drafted, or those who have been trained but badly are hired. This is the result.
Absolutely. The biggest problem is that they teach kids to be afraid of it. The 2nd biggest problem is that most teachers don't want to teach it, they consider it a sh1++y collateral duty, and the one who draws the short straw has to teach it.
@@soilsurvivor i'm assuming this is a middle school question, or maybe 5th grade. in hindsight, i would say that my elementary and middle school teachers were noticeably dumber than high school teachers. it kind of makes sense too, because it's more appealing to teach at a higher level if you can. at some point, you would just be a college instructor instead of a high/middle school teacher. even if they were paid well, which they absolutely should be, that wouldnt make the pool of teachers necessarily smarter at this kind of math. the issue is that most math teachers are just regular teachers that arent necessarily checked well for math competency. for instance, my middle school science teacher actually specialized in social studies, but was forced to teach science because of the shortage.
@@PFnove not when the spefically does ay oneate more so they cant't be the sme size. The whoile idea is thatit also doesn't say any part of the staement was false which it would have to be for them to be the same size. 4/6 is smaller than 5/6 if the base number is the same size and it said ,mrty ate more so the size must be diffrent as it isn't styated.
@@WayStedYou No. The problem like always is that teachers are handed a book on how to teach something without actually understanding why. Modern teachers are the result of an education system of rote memorization without understanding.
@@RunenschuppeThis. I took a year of the elementary teaching track in college. Every single one of my classmates would whip out a calculator for the most basic of arithmetic problems that they would be expecting their future students to be doing by hand. Coming from a math major track, it was just embarrassing.
@@maskedmallard537It kinda depends on the context but I think that's fair. Elementary level already have 3 digits numbers operations, and well yeah you could solve it by hand, a calculator is faster and more reliable. 2 digits, maybe they're just lazy. 1 digit numbers I doubt your classmate is that lazy.
I had a teacher like that in Junior High. She taught US History. We were covering the Civil War era. A question on a test was "Who assassinated Abraham Lincoln ?" I of course wrote "John Wilkes Booth" My test came back with my answer marked wrong. When I asked why, she said because I spelled Booth wrong, It was spelled "Boothe" Mind you, my answer wasn't marked "-1 point for spelling", it was marked completely wrong. So, I walked over the the bookshelf, grabbed a dictionary and flipped it open to "Booth (no "e"), John Wilkes":, and showed her. Her response: "That's how I spelled it in class, that's how you have to spell it". Some time a year later I was sitting in a study hall, and noticed that in the History notes the guy next to me was studying he had written: "Monoplane: An airplane with one engine" (reference to the Spirit of St Louis) being an airplane enthusiast from a young age, this caught my attention, and I pointed out to him that was not correct, that a "monoplane" was an airplane with one set of wings, as opposed to a "Biplane" with two sets of wings, not a single engine airplane. He rolled his eyes and said, Yeah, I know, but that's what Mrs. Dumais (Same person as My previous year's History teacher) told us, so that's what we have to answer on a test. And we wonder why people have become disenchanted with public schools.
sorry for you - your teacher forgot that his/ her was not a grammar/ language class but on history. If i were your teacher, i would be generous enough to consider your answer correct. The pizza size problem here can also be taught in basic economics class (topic on customer satisfaction, production, consumer production all under marketing) without highlighting the accuracy/ speed in dealing with that math problem.
@@gemmalee3032 “I would be generous enough to consider your answer correct”. Ok, that’s not “generosity”. The teacher was wrong. I don’t know where she got the idea that Booth was spelled with an e, but I have never seen that spelling documented anywhere. The point of the story was she made up crap that wasn’t true, then refused to change when it was pointed out that she was wrong. On multiple occasions. Not a good characteristic for a teacher.
@@andrewalexander9492 depends on what the teacher is actually teaching... she gave a good lesson on future life... only the "yes men" get ahead. dont try thinking for yourself... the "right" answer isnt simply the "correct" answer... yes, i know... its a pretty bad bit of education but when you see school as a daycare center, training little robots to never question so called "authority"... she did a great job.
10 YEARS LATER: The student spent 1/6 of his salary and the teacher spent 5/6 of her salary. The student spent more money than the teacher. How is that possible?
In the Netherlands, the schools were required to move to "realistic calculation" in their testing and teaching, which broadly meant no longer asking "6 x 7 = ?" but "Martin drinks 6 glasses of water every day. How many glasses does he drink in a 7 day week?" This was supposed to make it easier and more practical for students, who'd get to deal with realistic situations instead of abstract math. When this change was made, you got a lot of angry parents, when the "realistic" story the teachers had to quickly make up for every problem would not be worded carefully enough to get the 6 x 7 = ? that the teachers actually wanted to hear. One question that made the rounds was something like "It takes 7 minutes to boil and egg, how long does it take to boil 6 eggs." The kids who answered 7, because in a realistic scenario you'd put 6 eggs in the pan together, got their answers rejected. The teacher wanted to test if the kids could calculate 6 x 7 = 42, but they didn't specify that the eggs would be cooked one at a time.
No, even in one pan it takes longer boiling 7 eggs than boiling one, because of the thickness and the specific heat capacity. In general physics, the same thing with different amounts are treated as the same specific heat capacity, but it’s different.
In primary school told the electric flows from the positive to the negative of battery, but it’s opposite. In middle school told the liquid and solid is not compressible, but it is compressible. In high school told there is vacuum out of atmosphere, but it’s not vacuum. The school keeps telling parts of truth, so that is the result.
My favorite was the "If it takes 30 musicians 40 minutes to play Beethoven 9th Symphony, how many minutes does it take for 60 musicians to play the same piece?"
@@jaredwonnacott9732 Set every musician plays equally (no troubles, no ability differences), 30 is the maximum to play one song, so 60 people should at least two turns to complete the song. Answer is 80 minutes.
The student gave the ONLY correct answer to that question. I can excuse a teacher for not writing a good question. I can excuse them for not having thought of the correct answer themselves but when the teacher read that answer, they should have realized their mistake. I I were a teacher, I' be impressed by my student who is thinking logically.
That was the only answer yeah. The 1/4 and 1/5 argument only works if it was stated both pizzas were exactly the same. If Marty's pizza was bigger, even if he only ate 4/6th of his pizza, aka 66% versus 83% of Luis, If Marty's pizza was bigger, of course he would have eaten more
It's not technically the only answer. For example: Marty ate 4/6 of his pizza he could have also ate the rest of luis's pizza and half of his other friend bobs pizza and therefore ate more pizza. That answer would also work in a world where all pizzas are the same size.
Another answer would be a loophole in the bad English of this question. The word “his” is used twice and the first one clearly refers to Marty’s pizza, whereas the second “his” could refer to Marty’s pizza or Luis’s pizza. So you could take a guess that Luis actually ate 5/6 of Marty’s remaining 2/6 of pizza. Assuming Marty’s pizza was a full pizza when he started eating it, that would mean Luis actually ate 5/18 of a full pizza which is less than 4/6.
@@emwols That would actually be your bad English, not the question's. Each use of "his" refers to the subject before it, i.e., "Marty ate 4/6 of *his* pizza" / "Luis ate 5/6 of *his* pizza". For each use of the pronoun "his," the subject is properly and explicitly stated. The problem is grammatically correct.
If the question ended with "Is this possible? If so, How? If not, Why Not?" You could argue that it's open to interpretation in which case you'd have to mark both the kid's answer and the teacher's answer correct. However, the question is worded "How is this possible?" It assumes that it is possible and asks the student to find a way for it to be possible. The child's interpretation is in fact the only correct answer.
@@lorenztor1990marking the kids answer wrong would be wrong but the response given itself would not be, as its open to interpretation. Im sure this guy was just really tired when he was grading those papers
And worse, the teacher didn't even provide an answer, the answer of the teacher was going against the given of the question. It's like having a problem like if 2 + x = 5 then what is the value of x? and the student concluding x = 3 then the teacher saying the student is wrong because 2 + x does not equal 5. In both cases we are dealing with a teacher who is too incompetent to even read and understand the question.
The problem is that the question was phrased as “How is that possible?” Not “Is that possible?” That “how” assumes the previous statements were already true and asks for a justification.
That only partially solves it because it still "is" possible. So half the students may give the not possible answer and the other half would give this answer. You would also have to list the assumptions like "given the pizzas are of equal size"
@@charg1nmalaz0r51 It does only partially solves it, but this simple fix makes it such both answers are acceptable and the teacher’s “correct answer” is not objectively wrong based on wording of the question.
@@charg1nmalaz0r51 I mean questions of those sort that I've dealt with it tend to be Is it possible? If so, provide an example. If not, why not? I dealt with a lot of mathematical proofs back in my school days...
@@birdwatcher101gbh Very simply it was asking an open question instead of asking the closed question. It's the difference between "how many likes did this video get" vs "did this video get any likes" Wording matters and when you get it wrong you will get responses you are not ready for. TLDR teacher made a mistake and instead of recognising it punished the child.
The thing that upsets me most about this question is that it PRESUPPOSES by its wording that this is possible, but the answer the teacher wants is that it's NOT possible.
If the question stated as a premise that they were each given an identical pizza, and if it asked "IS this possible, and if so, how?" then the teacher's response would be alright. But as worded, the kid's answer is perfect. I would also have accepted "Marty was given 12 slices and ate 8 of them, Luis was given 6 and ate 5" - 'pizza' can be a mass noun, so "his pizza" doesn't necessarily mean they each had exactly one pizza, it could mean "his [share of] pizza".
@@tinymetaltrees You’re reading too much into this; with the information provided we can’t know if the teacher wants the student to be a corporate slave. Using Occam’s razor, a conclusion that the teacher made a mistake in the framing of the question, is more likely. From experience, I would suggest that most teachers have not experienced corporate culture, and their sole goal is to get students to pass exams, because that is typically how teachers’ success is measured.
Reminds me how in 6th grade, our first semester math teacher gave us a bonus problem on a math quiz: Given a pie, how many equal slices can you make with exactly 3 straight cuts? The answer she wanted was 8: you make two cuts to slice it into quarters, then stack the quarters on top of each other and slice down the middle to make 8. Not everyone got it, but that was okay, it was just a bonus question. You could still get a perfect score even if you got it wrong. Our second semester math teacher gave us the same bonus problem on one of her quizzes: given a cake, how many equal slices can you make with exactly 3 straight cuts? As we had knew the trick from the first semester, everyone put 8. The teacher informed us the next day that every single one of us was wrong... because, according to her, "you can't stack cake like you can stack pie." On top of that, she gave everyone -1 on their final score for answering incorrectly, and since the quiz was out of 10, that was basically a full letter grade drop. (Admittedly on a quiz which contributed very little to your final grade.) Some teachers just suck at their jobs.
Well, then couldn't you just fold the pizza in half (twice, three times, four times, etc.), and then make three straight cuts? In which case, the answer would be (mathematically) infinite, with the practical upper boundary being restricted only by the laws of physics limiting the number of times that the pizza could be folded?
@@jamesday3591 The original quiz might have specified "apple pie" -- at the very least, that's how I've always pictured it. I like that alternative, though!
@@temtempo13 If it's apple pie, then I might be tempted to say zero, because I would simply grab a fork and start eating. I mean, cutting apple pie might make other people think that it's an invitation for them to have some, and that would be completely outside of the "reasonableness" given! Hahahahahaha! :) Funny how I'm more willing to share pizza than apple pie. Hmmm. I wonder what that says about me from a Freudian and/or Jungian perspective. And then, folding apple pie would be completely ridiculous, so, yeah, eight. Eight slices from three cuts, with two of those slices going to two guards that I hire to keep other people from getting any. Eight. Maybe the guards could split a single piece. Was the teacher asking "gross" or "net"? ;)
I...I'm sorry, 'cake can't be stacked like pie'? PIE can't be stacked! Cake is *constantly* being stacked, you'd be hard pressed to buy a cake that *isn't* at least two layers with some cream in the center. Besides which you don't even *need* to stack the cake, you can cut it in quarters then slice horizontally through the center of the cake. Any pie I've seen is either a crumbly uneven crust or an open crustless top, and you're more likely to have pie slices moosh and tilt and slide all over each other than you are to have cake do that. I guess we're assuming the *pie* defies physics to allow the stacked cut, so the cake is *also* defying physics to *not* allow the cut? I'm...unreasonably angry at this story of yours. I've *never* heard of stacking pie but I was willing to accept it because it's a logic problem not an actual baking challenge. But the very idea that you can't stack *cake* ...even Donkey from *Shrek* knew cakes have layers! 'Can't stack cake'...that's going to be echoing around my head all day. What the hell.
@@Scottthespy13 Did I miss something? Where's the story about cake? I want some cake. I especially like the ones with cream in between the layers! Pizza is good! And pie is great! (It's like 3.14 times better than Pizza, or something like that.) But I don't remember anyone mentioning cake. Thoughts?
I get what you are saying, but they definitely don't need to be fired. It was just a trick question, and the teacher shouldn't do them anymore, that's it. (I wasn't trying to sound mean, so I am really sorry if it sounded like it was.)
@Eggstrawdinnery wasnt a trick question at all, i also doubt this teacher wrote the questions if she had the wrong answer, and must not have used given answer sheet when marking, shes overconfident in her abilities and cant accept she may be wrong. With qualities like that she shouldnt really be teaching. What other things is she marking incorrectly or simply teaching the kids incorrectly.
It's a terribly written question, but teachers are allowed to be wrong too. This is not something to get fired over. Hopefully the student saw the teacher after class and asked for clarification, the teacher saw the question was badly written and agreed to accept the student's answer.
The real issue here is that the teacher doesn't understand what the point of the question is. This question is asked specifically to highlight one very important point about fractions: fractions can only be compared if they are fractions of the same size group or object. That is the fact that is being taught there. It is useless to compare 3/4 of this pizza with 3/5 of that pizza if the pizzas are not the same size. When we teach fractions at school, we often teach them mostly in an abstract sense where we just assume the object or group that the fraction is taken from is always the same as every other one. In concrete situations, this cannot be assumed.
I think the real point of this exercise was to get the student to think outside the box. A riddle really. Thinking of it too much as a math equation and you won't come up with the answer. The teacher looked at it purely as a math equation.
@@ScottCleve33 There is no trouble with finding the answer by thinking of it as math equation as long as you know what equation it would actually be (4/6x > 5/6y which a math teacher should know) though I suppose that is probably a test for kids still learning fractions so equations with unknowns might still be unknown to them.
@@user-zj9rr6yc4uyou don't need to include variables. It's as easy as upstanding how units work. If I gave 2 people a bottle of soda and one complained but I said "why are you complaining. You both got 1 bottle" but 1 of the bottles was 20 oz. and the other was 2 liter I'd complain too. The only unit given is 1 pizza. Size was never given
look for a comment like this. So many idiots in this comment section think the teacher wrote that question, which is really difficult to believe. It's very obvious what the intent of the question is. The student had it spot on, while the teacher completely missed it.
I remember a science teacher once posing the following problem: why does a boxer get more tired during a boxing match rather than hitting a punching bag. The answer i gave was "the punching bag doesnt hit back." I was told that was wrong. The answer the teacher gave is the boxer is missing punches so he is wasting energy every time they punch. ...i dont know about you, but getting hit in a fight is going to wear you down and, i dont know, tire you out?
And both are correct... But if you are solely speaking about energy dispersion, getting punched doesn't drain your energy, only leads you in a neurological state of confusion
This is the problem with every answer being graded. Sometimes out of the box thinking should be commended, and instead of lecturing, the teacher should share their insight without being arrogant.
I came up with a list of possible explanations when I first saw this years ago. Let me try to recall... - Marty's pizza was bigger. (no size specified) - Marty's pizza was thicker. (variant of above) - Marty ate 4/6 of his pizza but also part of someone else's pizza. (consumption of pizza belonging to others not specified) - Marty has eaten lots of pizza for years, while this was Luis' first time eating pizza. So over their lifetime Marty has eaten more pizza. (no time period specified) - Luis lied about how much pizza he ate. (truthfulness of statements not specified) - Luis ate his pizza, then got sick and threw it up. (events after eating pizza not specified) - Luis didn't eat the crust because he doesn't like it. (definition of "ate" not specified). - Marty ate 4/6 of his pizza, then Luis ate 5/6 of Marty's remaining pizza. (the second "his" can refer to Marty) - Marty later ate a dessert named "more pizza than Luis." (ambiguity between phrase and name; can also say "5/6 of his pizza" is a non-pizza food)
You missed three obvious ones: - Marty in question is another Marty who ate the whole pizza. - Luis in question is another Luis who didn't eat any pizza. - They are both two other people and Marty ate more than Luis.
This reminds me of a friend of mine, when ordering a pizza they would ask him “do you want it cut in 6 or 8”. He would always respond 6, saying there was no way he could eat 8 slices !
It's a way so that when his girlfriend looks funny at him when he later orders a hamburger, he could say: "What? I had only _six_ slices of pizza today!"
This reminds me of a math problem I had in high school. The teacher had us calculate the angle between the hands on a clock, and then what it would be 10 minutes later. It turned out they didn't expect us to consider the movement of the little hand, so my answer was different than the "correct" one. Fortunately, my teacher was better than the one in the video and marked it as correct and praised me for it.
Yes, the little hand moves 5º every 10' and the large hand moves 60º every 10', so the difference would be 55º (60º-5º as they both move in the same direction). Good for you for noticing and good for your teacher for acknowledging it.
@@1Peasant It's not particularly hard to work out that the hour hand will move 5° and the minute hand will move 60° in ten minutes, so it will be 55° further apart. If this was a high school question, then we should expect the students to take that 5° into account without explicitly telling them to do so. Ok, maybe it's reasonable to tell kids who have never even seen an analogue clock, that the hour hand will be halfway between the three and the four at half-past three. 🕞
@@wormalism I am of the earliest gen z and I sometimes feel I'm one of the few gen z's who can read analogue... everyone has apple watches that show steps heartrate and plays your music with bluetooth as well as telling time, and despite being an iphone boy I'm using an analogue watch cause I like it... and it's also my 18th birthday gift.
0:35 if we are going by the question, it's clear that the teacher didn't follow it through. the question clearly states that Marty ate more pizza. so the teacher's answer is inheritly wrong to begin with.
@@jamiebarlow2546 The question is bogus only if there is no other explanation. Of course, the student could instead call out for clarification instead. The student can also make reasonable assumptions, BUT will have to clarify whatever assumptions they made, in which case, if they assumed that the pizzas are the same size (which is a reasonable assumption), then they can claim the question is bogus.
@@sinteleon I don't agree that it's a reasonable assumption when the question itself states that Marty ate more. If it asked if Marty could have eaten more that's one thing, but it outright stated he did. So the natural conclusion is that Marty's pizza is bigger. Assuming the question is an unreliable narrator for lack of a better term is ridiculous to ask of a kid, especially in a math class where most of it is defined by rules.
@@generalgarchomp333 Perhaps, but again, I'm just saying that taking the "reasonable assumption" approach is also a valid way of approaching this problem, as long as clarifications are stated. Especially if this is meant as a maths question and not an english/wording question. I've seen more than a couple of maths and science questions that had logic errors in their setup, sometimes people actually make mistakes in typing it all down.
The question says that it happened as fact and does not state the sizes of the pizzas. This teacher doesn't understand the question and is only looking at the numbers.
"Marty ate 4/6 of his pizza and Luis ate 5/6 of his pizza. Marty ate more pizza than Luis. How is that possible?" As a matter of fact, Marty ate more pizza than Luis. If both pizzas are the same, that statement given as fact within the problem would be incorrect and the question would be, basically, lying. The only way it is possible is if the pizza sizes are different, which is what the question is asking.
@@onetwo6039 the inherent problem with this question is it is asking how this could be true, stating it as that it is fact. the teacher is saying this is in fact not possible, and as such the problem was actually lying, it said Marty ate more when he, in fact, did not. The problem with this, is if the question is lying, then how do we know any of the question is true? perhaps Marty actually ate his whole pizza, and luis got his pizza stolen by an animal. how could we know? because we have to take the question as fact. but the teachers answer is that we cannot take the question's statement as fact.
THANK YOU. I was going to say "man, I'm glad you're great at math, but could we have someone great in reading to do the voice over?" That was driving me up the wall. Lois ≠ Luis
Well, you can. That was the actual lesson: words do not have strict representataion in real world and not necesserily carry meaning, no matter the authority of the writer. This becomes more noticeable more detached you become, like in coding and finance.
@@feedbackzaloop You can't, the sentence states : That Marty ate more than Luis, how is this possible. So the question is lying to you or is trying to make you understand that using real world concepts to explain math does not always work. But teacher did not do that, rather he doubled down that math and real-world concepts should be treated the same. Despite giving a contradicting statement about it being possible that they are not the same. Fact of the matter is they are not the same !
A former math teacher once wanted us to calculate how far you could see if you were standing on top of a tower, taking into account the curvature of the earth. So he told us how high the tower is and that we should assume the earth is a perfect sphere with a given radius. For the whole calculation with the correct result you would have got 8 points. One student wrote "If you look up, you can pretty much see to infinity" and the teacher wrote "That was of course not what the question asked, but you are technically correct and the question was poorly phrased", so he still got at least 1 point for that answer.
@@pelinalwhitestrake3367 Actually the furthest object we have seen so far in universe was 46 billion light years away, that's 435,205,999,999,999,994,232,832. But just because we have not seen anything further than that does not mean that you cannot see further than that or that this is the end of the universe.
@@pelinalwhitestrake3367 That depends on your interpretation of "how far you could see". Even if you are on a tower on Earth, you cannot always see as far as you theoretically could. For example, there might be fog, or it might be night and a new moon, so it's too dark to see anything at all. And what if you have poor eyesight and no glasses? So there is a difference between how far you "could" see and how far you actually "can" see. The question was how far you could see, that is, under optimal conditions, with nothing obstructing your view, you having superhuman vision, what is the farthest you could ever see. The only reason you could not see infinitely far out into space is because space is finite. And if you have proof of that, you should publish a paper and the next noble prize will be yours.
It is possible if the second "his" was still referring to Marty. Basically Luis ate 5/6 of the remaining 2/6 of Marty's pizza . There was only one pizza.
I personally perceive this question not as “Non-percentage wise, who ate a greater quantity of pizza”,this kid would be correct, but percentage wise, you could reason that perhaps Luis had less slices of pizza, which would make his pizza with less slices not smaller, but still equal to 100% of the pizza even if it is missing a few slices, that’s still his perception of 100% of the pizza. Marty, may have all his pizza slices, thus that’s 100% of his pizza allowing HIM to eat more because his 100% isn’t larger, it’s the same size just with more slices.. maybe I’m crazy but idk. Still feels too complex for a child
Read the question, not the clue. "How is that possible?" Can people stop being smart ass and think like a professor when the questions for gradeschool are being presented? Yeah it looks complicated because you think like a professor not as a grade school child.
A good math teacher makes ALL the difference. I had a simple problem on a test, went to the teacher for help, and he realized that I was massively overthinking the problem. So he literally told me to just to close my eyes, take everything I was thinking, and stop. I was naturally skeptical, but I eventually did. He told me to open my eyes a couple seconds later and look at the problem. When I did, I instantly saw what I had been doing wrong and was able to solve the problem easily. He not only understood what I was doing wrong, but why, and knew exactly how to get the point across.
@@jdh9419 If I were to guess (since he doesn't remember), I'd say a geometry problem. Some of those can have a really simple solution if you draw one or two correct auxiliary lines somewhere but otherwise(including drawing the wrong ones) could involve a huge series of calculation, solving for every segment, angle and whatever else in between to get to the final answer. Most other type of question tend to have a fairly clear line of solving that you either know or don't. Unless it is meant to be tricky but that won't fit the context of the story.
Yeah, the teacher knew the student was right too but they were looking for a certain answer and punished the kid for being smarter than them. You know no matter how much the kid protested, the teacher wasn't going to change their mind either.
When I was in high school I had an English teacher that was a real piece of work. She could not grasp the concept of percentages. I spent an hour after school one day trying to explain it to her but it was like talking to a wall. Her guide book said that 94 was needed for an "A" and 69 to pass & she could accept that for one test but if she gave 10 tests per semester, instead of 940 for an "A" & 690 to pass she just added 900 so you had to score 994 for an "A" and 969 just to pass. I embarrassed her in front of her class many times so I expected her to fail me, which I wouldn't have accepted, but she gave me a "C" that should have been an "A" & I took it & moved on. She made us read stories and we had to know about the authors, so this one guy from Scotland wrote about this "bonny" lady that had everything that she needed but was never satisfied. The teacher had never heard of the word "bonny" and thought that it was "bony" & changed the whole meaning of the story. saying "the poor woman always wanted more because she was bony & couldn't afford to feed her kids". I couldn't help but laugh out loud at her & so she made me read the definition of the word "bonny" in front of the whole class.
@@markhoffart622 I'll never forget the look of disbelief on her face as I tried to keep a straight face. I have no idea how she made it through a legitimate university to get a teaching certificate.
Your teacher must not have ever watched "Lady and the Tramp". "With a bonny, bonny bone that I'll bury for my own; in the bonny, bonny bank in the back yard. Ah, that's a grand site."
I can almost guarantee you that she’s not a math teacher! This type of problem is probably a 4th or 5th grade problem so the teacher teaches all subjects to her kids. So she is a teacher who HAS to teach math and is not particularly good at it!
Imagine if the kid came out with the answer Marty pizza must be larger by about 11.8% and showing all the workings.. The teacher would still rule it wrong because it wasn't in their answer key 😂😂
The 11.8% assumes that pizzas only vary in their diameter. They could vary in thickness and density too. It would be better if the question referred to the weight eaten, then Marty's pizza would have to weigh at least 25% more than Luis's.
Or maybe he read the solution sheet and the solution was written down as that, making the cheat sheet wrong and the question incorrectly formulated. But either way the teacher becomes the target for being wrong here. When students are smarter then their teachers.
@@Mechazoid5116 You would wish that to be true, a lot of the time it is, but there's also a lot of evidence to say that students are becoming increasingly dumber.
The child isn't smarter, and neither are any of you. It's poor communication on the teachers' part writing the question that way, but to be honest, it's a math class. The kids are obviously learning feactons. The real question behind the story is, which fraction is bigger? the answer is obvious. This is why context matters.
@@TychoKingdom We don't know whether it's math class or not. It could easily be some other class. I live in Russia, we had one class in eighth grade (don't remember it's name) when we developed creative thinking and other stuff like this, this exact problem would be great for the same class but in fourth grade or something like that.
If it is a given that Marty ate more than Luis how can you do a switcheroo "nope, he didn't"?. We aren't supposed to question the given facts of a problem. We assume them true and proceed from there.
"Given that x+1=2, solve for x". Student "x=1" Teacher "You are assuming that the given answer of 2 is correct. It can't be because x=2, so x+1 must equal 3"
All hope of improving the education of our kids is lost with such teachers. I find it especially irritating how the word "not" was underlined. To emphasize (the absence of) reason and authority? Let me guess: The teacher is a woman.
Sometimes you can use mathematical reasoning to prove that the original "facts" as stated are inconsistent. This is the principle behind "proof by contradiction". It is something to keep in the back of your mind when solving problems.
1) Great Video! 2) Teachers like this are exactly why I HATED elementary school as a child. Even worse, is when an adult doubles down on being wrong out of embarrassment. So aggravating.
The teacher wanted "not possible" as answer but asked "How to make it possible", so the student answered correctly and the teacher wrote the question poorly.
Amazes me how many people think the teachers come up with the problems themselves. Flawed assumption. The child gave the exact answer the question wanted him to because it was a reasonableness problem. The teacher just didn't understand the question she copy pasted
@@timgalivan2846 The kids in school themselves definitely know how few teachers come up with their own questions. When I was going through school 95% of the homework was easily bypassed, as the exact paper was uploaded with answers online. The state of the US education system is ridiculous.
@@VioletVal529You’re correct, of course. This reminds me of the time I brought a young female foreign tourist to a work mate’s house, and his 6-year-old kid asked my foreign friend the joke question: “Why did the chicken cross the road?” FF (Foreign Friend): “How old was the chicken 🐓?” Since the kid was confused by this, I suggested she just say: “I don’t know? Tell me why?” She became irritated 😠 as in: “How can I answer the question if I don’t have all the facts?” I had a feeling this was going to take a long, long time !! ⏰. So … by consensus we finally agreed the chicken was female, and about 3 years old. It was a White chicken 🐓. It was about noon 🕛 and slightly overcast. It was a country road, unsealed with very little traffic … You get the general idea. And this seemed to take forever as in: “It’s a joke …!” FF: “It may be a joke to you, but not the chicken 🐓.” And, on it went …. 30 years later my friends still talk about “why did the chicken 🐓 cross the road?” This gets back to the poorly worded pizza question. The teacher should have realised that there was more than one answer, and praised the student for pointing this out.
The biggest problem, is the word question proposed goes way above the student current level of math and able to rationalize via formulas as given in the video above.
It's more likely an example of people predicting accurately the kind of instagram post likely to go viral and mocking it up. Everybody loves the "student is smarter than the teacher" story.
@@gyorkshire257 that's entirely possible but after being through a lot of inductions for various jobs i see a lot of people who are supposed to be teaching something and know what the answer is because its in the book but don't know how to phrase the question right because they don't actually know how and why the answer is what it is.
It's not just a wrong way to correct the question. The teacher's correction defeats the fundamental definition of what a fraction is. It's like asking "How many bananas can you eat in a day?" and the answer you're expecting being "None, because bananas are used to build origami, not to be eaten." Which, if a teacher ever said to me, I'd change schools entirely lmao
remember the time when Hardies offered a 1/3 pound burger to beat Mcdonalds 1/4 pounder? it failed because people thought it was a SMALLER burger because '4' is larger than '3'.....SMH
whereas i watched a few minutes of... "pro bull riding"... well, it was something different,wasnt it? anyway, i was impressed when the commentator stated the score of one guy as "something something and three quarters"... when what was clearly displayed was "point 75"...
@@Urielthalas exactly... its just a large number of people, possibly 75% of them... cant deal with mathematics at such an advanced level... it was just amusing the he said it as a fraction...
@@paradiselost9946 I guess it's just been a long time since I've considered fractions and decimals "advanced", but you're probably right. I often overestimate what people should know based on what I know.
Exactly, it's labeled "8. Reasonableness", so it's a logic question, not a math question. The Question is "How is that possible?" and the student's answer states how that is possible. Another valid answer is "Marty's pizza, although the same diameter as Luis's, was thicker, so weighed more per slice. More weight, not more area."
Definitely logic, but also could be considered mathematical logic - which is a subfield of math. You could even write the problem here in mathematical symbols, as: If 5/6*X < 4/6*Y, then is a) XY c) Z=Y Which makes it clearly mathematical. That being said, I prefer the way the question is worded here to make it a little more thought provoking that just a basic algebra inequality…. If only the teacher knew the answer
You're right, it isn't a math question It's a riddle We can also assume that Luis ate 5/6 of MARTY's pizza after he ate his 4/6th And that Marty was very unreasonable eating 4/6th of the pizza all by himself.
It is a math problem because it is checking the understanding that how the size of a fraction, as measured in some unit, is dependent on what is the overall size of the thing being divided into fractions is. It's showing a real-world application of a basic mathematical principle.
Not even. More the opposite, the kid solved the Gordian knot by hand and then the teacher said you're supposed to use the sword. The answer the kid gave is exactly what the question asked for, it was completely reasonable, no trick or out if the box thinking. The teacher wrongly thought it is a trick question, when it was easily solvable.
@@zagreus5773 No. This is not even about Alexander. This is Greg moving haystacks as he was told and the adult saying, "It was supposed to be on the other side."
the teacher is incorrect, A) the teacher ignored the given task as it is GIVEN that marty ate more and B) the question could've been worded in a way that alludes to it being impossible for example : "marty ate 4/6 of his pizza and luis ate 5/6 of his pizza. marty ate more pizza than luis. is this possible? if so, how? if not, why?"
My math teacher got a problem wrong once. We told her that she had gotten it wrong, and she checked on the calculator. The calculator showed the correct answer, and she put her phone face down and said “yes I’m correct”.
"No, because 5/6ths is bigger than 4/6ths" is something I'd expect from an elementary schooler just learning fractions, not someone with a college education lol
It's possible if Marty had a larger sized pizza than Luis. Let's say Marty had a 16" pizza, and Luis has a personal 8" pizza. 4/6 of the large pizza contains more pizza than Luis's 5/6 of the tiny pizza.
I've worked as a college math tutor, it breaks my heart what some of these kids must've gone through, basically I'm doing more PTSD exposure therapy than actual math
Yeah because kids start doubting and double guessing what they think the teacher wants rather than chilling and using their brains and answering a question. I started an online course as an adult and when i see questions i still have this doubt creep in with every vague poorly written question.
A better question than "How is this possible?" would be "Is this possible? Why or why not?" This means that students would actually consider the possibility of it not being possible. It ALSO allows the out of the box idea for an answer, which is Marty having a bigger pizza. The teacher should accept both answers with the justification. The homework is made poorly and the teacher isn't promoting good thinking
...But the correct answer would still be that yes it is possible, it depends on the size of the pizza- and the teacher would still insist that the answer was no, because clearly they aren't understanding that fractions are relative values.
I want to know what answer the teacher was looking for if it wasn’t that Marty had a bigger pizza. Were they expecting the students to say it wasn’t possible? Also, anyone else distracted the whole time by Presh saying Lois instead of Luis?
And if the teacher is expecting the student to deny the facts as presented... why only the fact about who ate more pizza? Why not instead deny the fractions? Or the pizza? Maybe one of them actually ate _pie_ instead, since we're making stuff up.
Here’s my theory. The problem states that Marty ate 4/6 of his pizza while Luis ate 5/6 of his pizza but Marty ate more pizza. How is that possible? The problem never said that Marty ate more of the pizza that was acknowledged in the sentence meaning that it is possible that Marty had slices of a different pizza prior to his current pizza and Luis might not have had any pizza slices before his current pizza slices or he had less pizza slices than Marty; resulting in Marty eating more pizza slices combined in comparison to Luis. Marty might have been in his “big back” era 🤷🏽♀️
Oooooooh that boils my blood that this answer would be marked wrong. Even if it wasn't what the teacher wanted it's a completely correct answer, not some gotcha or joke. Telling that kid they were wrong was a huge failure by the adult.
For me, the words that stood out was "his pizza", meaning they had individual pizza's. You can assume they weren't the same size based on the question format.
I made the mistake of watching after that and just kept getting madder and madder as this guy with a channel correcting teachers mistakes misreads/mispronounces the name Luis for the entire video
@@mnmnrt So you still think the 5/6ths of one thing is necessarily more than 4/6ths of another, regardless of what those two different "things" are. Got it.
@@mph7282 No, I think you don't understand context, and the fact that a question asked in middle school is different from a question asked in university, which is different again from a question asked in casual conversation, even if the text of the question is identical in each case. You're not clever.
Luckily I didn't have teachers THAT bad, but if I'd brought THAT paper home and told my dad "OK. Now what? When facts and logic fail, I don't know what to do", I'm certain my dad would have been willing to go set the teacher straight. I'm assuming from the question that this was in grade school.
1:38 I had this whole comment going over how Marty's portion winds up bigger way faster than most people think, and how you can just get the square root of both diameters to figure out how much bigger the pizza needs to be, and then I pressed play and you immediately said all of that 😂😂😂
This is the same as when they say "a rooster lays an egg on a roof blah blah", only for them to say "roosters don't lay eggs". But you just stated that it _did_ lay one. Maybe it's alien, hermaphrodite, I don't know, but you said that it _did_ lay an egg. Likewise, this problem states that Marty ate more, as a fact. Don't come saying that he actually _didn't_ eat more, if you just said that he did.
The rooster one has a contradiction in the initial statement because indeed roosters don't lay eggs. The pizza one has no contradiction because we can understand that it specifies that marty's pizza and luis's pizza are different elements and thus don't need to share size, shape, toppings or any other properties.
As long as i know, the question should have been : marty ate 4|x pizza and luis ate 5|6, Because for math you have to match up the numbers down, multiplying the results to make marty's pizzas bigger. (Srry if you dont understand english is not my native language)
@@Trancefreak12it doesn't matter of course but the way the question is phrased inherently implies the question assumes it is possible, which should've clued the teacher in
@@kingslayer4080 My point is that in the working world, you not only have to have the right answer you sometimes also have to convince someone that it's the right answer. (Especially when they have a preconceived notion like the teacher here.)
Actually you can make the math simpler by just calculing the diferense in the areas instead of the diameters. Marty´s area should be 1.25 times bigger or more. 4/6 * 5/4 = 5/6 * 1
Why are we assuming that the pizzas are round and that we measure the size difference in diameter. You can just use a nominal unit (mass or volume) of any size. And then make Luis's size a nominal size of 1. You don't even need to use units Then you have two equations: Luis: (5/6) × 1 = 5/6 Marty: (4/6) x Y = 5/6 You don't really even need the Luis equation except for understanding the idea of the Marty equation. You solve for Y in the Marty equation: Y = (5×6)/(4×6)= 1.25 So, it needs to be 25% bigger. It's fine that this differs from the Diameter answer because neither mass nor volume have a proportional relationship with diameter. They're different calculations entirely. One is a length, the others - mass or volume, however you are calculating what "more" is. The best way to calculate this would have been the simple calculations, and then backing into diameter if you like.
I had to scroll way too far to find this answer. It particularly irked me when Presh says that the pizza must be 11.8% bigger. No, it must have a 11.8% greater diameter because you assumed a circle. The correct answer is the one you gave, 25%, which is true for any shape and also accounts for thickness. Its also a much easier calculation.
It doesn't matter what shape the pizzas are (including any irregular shape), provided the two pizzas are the *same* shape that have simply been scaled by the same amount in width and height (i.e. maintaining the aspect ratio). This is about understanding dimensionality relationships under scaling. For *any* consistent linear measurement L (e.g. the diameter, radius or circumference for a circle, or with a rectangular pizza maybe height, width or diagonal) on the shape, the area of the shape will always be proportional to L^2. Therefore if the area is 25% bigger the width, length, diagonal etc will be sqrt(1.25), i.e. 11.8% bigger. Here we're scaling in two dimensions, so the volume and mass are also proportional to the area. If instead we were scaling in three dimensions (i.e. the pizza got thicker as it got wider and taller) then the volume and mass would be consistently proportional to L^3. So if we were thinking of bigger in terms of weight, then 25% bigger in mass (and volume) would be 7.7% bigger (cube root) in linear dimensions - width, height diagonal etc. Another example: think about a small penguin, and an identically shaped big penguin. If the big penguin's flipper length was 2x that of the small penguin, other 1-d relationships would also scale by 2x - its beak-length, feet-length and the circumference around its belly, would also be 2x bigger than the small penguin. 2-d relationships, such as the total surface area of its skin, or the area of its feet would be 4x bigger. 3-d relationships, like the volume of its blood, mass of its heart would be 8x bigger (assuming all of the anatomy has been scaled identically!).
noun: reasonableness 1. sound judgment; fairness. "days which demand wise restraint and calm reasonableness" the quality of being based on good sense. "he critically evaluated the reasonableness of each assumption" 2. the quality of being as much as is appropriate or fair; moderateness. "disputes about the reasonableness of certain costs" Next time, try picking up a book before being smug because you think you're smarter than you actually are.
@@mnmnrtYou're the one being smug by assuming that the person you're replying to meant that "reasonableness" isn't a word rather than the more likely point being made that it's a more pretentious word to use than "reasoning", which it is.
@@RWIsaac1 It isn't, however. It's the correct word, and it can't be substituted by "reasoning" here. My smugness is entirely justified, I'm correct, you're wrong, and I'm more intelligent than you.
They're not. It's in the government's best interest to not think for yourself, so they actively discourage any form of critical thinking. That on top of the fact that teachers are barely paid anything, and everyone knows you get what you pay for.
Reminds me of a third grade reading assignment almost 60 years ago. The first question was "Who was Charlie?" Several of us answered "Charlie was a hot dog vendor." Others said "Charlie was a tall man." The teacher said the "tall man" answer was correct. I suppose some could have made the argument for the second choice, but the first choice clearly was the better option... except to the teacher (or the "Teacher's Guide" she was reading from and was too oblivious to contradict). I think she was just mailing it in until retirement in a year or so.
@Sonnell I agree. My main point here was that the problem was with the person marking the student's work rather than with the question or the person who composed the question. Edit: or rather that these were almost certainly different people.
I also have an issue with the deliberate "trickiness" of the question. "Marty ate more" is presented as a fact in the question with the student being asked to explain WHY it is correct. The student is supposed to somehow realize that this statement is false, that the writer of the question either does not understand basic fractions or that the writer is a liar. I have seen properly worded questions that ask a student to analyze the accuracy of a statement (ex: Marty said he had eaten more pizza than Luis. Was Marty correct? Why or why not?) This is a poorly designed question.
The correct answer is, " Since 4/6 is smaller than 5/6, the only way Marty ate more pizza than Luis is if Marty's pizza was bigger than Luis's pizza". The given was restated and the question was answered.
There's one element to heavily consider when factoring if you're getting more out of your pizza. Sure, an 18" pizza is "more" than two 12" pizzas, but you have to factor in the weight of dough used. Different shops use different measurements, but there's a possibility that two 12" pizzas use more weight in dough than one 18" pizza. Then there's also thin crust and thick crust, weight of toppings to consider, etc etc. Food for thought =)
Striking example of what I often say: Most people don't actually suck at math; they had teachers who sucked at teaching math.
Correct 💯
Kid is right, teach apparently didn't get paid enough to stop and consider her own word problem.
@@alanknotts5975 teachers generally aren't paid enough. That's a different discussion.
Math teachers are in short supply. Often those who aren't qualified (social studies or even PE) are drafted, or those who have been trained but badly are hired. This is the result.
Absolutely. The biggest problem is that they teach kids to be afraid of it. The 2nd biggest problem is that most teachers don't want to teach it, they consider it a sh1++y collateral duty, and the one who draws the short straw has to teach it.
@@soilsurvivor i'm assuming this is a middle school question, or maybe 5th grade. in hindsight, i would say that my elementary and middle school teachers were noticeably dumber than high school teachers. it kind of makes sense too, because it's more appealing to teach at a higher level if you can. at some point, you would just be a college instructor instead of a high/middle school teacher.
even if they were paid well, which they absolutely should be, that wouldnt make the pool of teachers necessarily smarter at this kind of math. the issue is that most math teachers are just regular teachers that arent necessarily checked well for math competency. for instance, my middle school science teacher actually specialized in social studies, but was forced to teach science because of the shortage.
The teacher's response is wrong, first, because it directly denies a given of the problem. It is given that Marty ate more.
Absolutely.
The teacher was probably a KH supporter!
@@PFnove not when the spefically does ay oneate more so they cant't be the sme size. The whoile idea is thatit also doesn't say any part of the staement was false which it would have to be for them to be the same size. 4/6 is smaller than 5/6 if the base number is the same size and it said ,mrty ate more so the size must be diffrent as it isn't styated.
IF it's a math question.
@@0011peaceyou are doing some Terrance Howard math.
That kid has understood the concept of relative quantity. Apparently, the teacher has not.
Never mind relative quantity. What about reading comprehension? The teacher didn't even understand that Marty ate more was a _given._
@@blindleader42 teacher probably just reading the numbers only
@@WayStedYou No. The problem like always is that teachers are handed a book on how to teach something without actually understanding why. Modern teachers are the result of an education system of rote memorization without understanding.
@@RunenschuppeThis. I took a year of the elementary teaching track in college. Every single one of my classmates would whip out a calculator for the most basic of arithmetic problems that they would be expecting their future students to be doing by hand. Coming from a math major track, it was just embarrassing.
@@maskedmallard537It kinda depends on the context but I think that's fair. Elementary level already have 3 digits numbers operations, and well yeah you could solve it by hand, a calculator is faster and more reliable. 2 digits, maybe they're just lazy. 1 digit numbers I doubt your classmate is that lazy.
I had a teacher like that in Junior High. She taught US History. We were covering the Civil War era. A question on a test was "Who assassinated Abraham Lincoln ?" I of course wrote "John Wilkes Booth" My test came back with my answer marked wrong. When I asked why, she said because I spelled Booth wrong, It was spelled "Boothe" Mind you, my answer wasn't marked "-1 point for spelling", it was marked completely wrong. So, I walked over the the bookshelf, grabbed a dictionary and flipped it open to "Booth (no "e"), John Wilkes":, and showed her. Her response: "That's how I spelled it in class, that's how you have to spell it". Some time a year later I was sitting in a study hall, and noticed that in the History notes the guy next to me was studying he had written: "Monoplane: An airplane with one engine" (reference to the Spirit of St Louis) being an airplane enthusiast from a young age, this caught my attention, and I pointed out to him that was not correct, that a "monoplane" was an airplane with one set of wings, as opposed to a "Biplane" with two sets of wings, not a single engine airplane. He rolled his eyes and said, Yeah, I know, but that's what Mrs. Dumais (Same person as My previous year's History teacher) told us, so that's what we have to answer on a test. And we wonder why people have become disenchanted with public schools.
When I read an American telling an anecdote about his history, it's always just the Civil War.... I envy you that you do not have 3,000 years to study
sorry for you - your teacher forgot that his/ her was not a grammar/ language class but on history. If i were your teacher, i would be generous enough to consider your answer correct. The pizza size problem here can also be taught in basic economics class (topic on customer satisfaction, production, consumer production all under marketing) without highlighting the accuracy/ speed in dealing with that math problem.
@@gemmalee3032 “I would be generous enough to consider your answer correct”. Ok, that’s not “generosity”. The teacher was wrong. I don’t know where she got the idea that Booth was spelled with an e, but I have never seen that spelling documented anywhere. The point of the story was she made up crap that wasn’t true, then refused to change when it was pointed out that she was wrong. On multiple occasions. Not a good characteristic for a teacher.
@@andrewalexander9492 depends on what the teacher is actually teaching... she gave a good lesson on future life... only the "yes men" get ahead. dont try thinking for yourself... the "right" answer isnt simply the "correct" answer...
yes, i know... its a pretty bad bit of education but when you see school as a daycare center, training little robots to never question so called "authority"... she did a great job.
@@paradiselost9946 Lol point taken.
10 YEARS LATER:
The student spent 1/6 of his salary and the teacher spent 5/6 of her salary. The student spent more money than the teacher. How is that possible?
Hahaha!
😂😂😂😂
It's not. Students don't receive a salary.
@@SteveDorrans Whooosh?
ouch!
Later, Luis flipped out and started breaking up the place because everybody kept calling him "Lois".
The correct answer to why Marty ate more of his pizza.
And to think, I always trip up on whether they go with "Lewis" or "lewey" as the pronunciation lol
@@wardrich Sounds like you also speak Spanish. Good on you!
😂😂😂😂😂
Funny!
In the Netherlands, the schools were required to move to "realistic calculation" in their testing and teaching, which broadly meant no longer asking "6 x 7 = ?" but "Martin drinks 6 glasses of water every day. How many glasses does he drink in a 7 day week?" This was supposed to make it easier and more practical for students, who'd get to deal with realistic situations instead of abstract math.
When this change was made, you got a lot of angry parents, when the "realistic" story the teachers had to quickly make up for every problem would not be worded carefully enough to get the 6 x 7 = ? that the teachers actually wanted to hear.
One question that made the rounds was something like "It takes 7 minutes to boil and egg, how long does it take to boil 6 eggs." The kids who answered 7, because in a realistic scenario you'd put 6 eggs in the pan together, got their answers rejected. The teacher wanted to test if the kids could calculate 6 x 7 = 42, but they didn't specify that the eggs would be cooked one at a time.
No, even in one pan it takes longer boiling 7 eggs than boiling one, because of the thickness and the specific heat capacity.
In general physics, the same thing with different amounts are treated as the same specific heat capacity, but it’s different.
In primary school told the electric flows from the positive to the negative of battery, but it’s opposite.
In middle school told the liquid and solid is not compressible, but it is compressible.
In high school told there is vacuum out of atmosphere, but it’s not vacuum.
The school keeps telling parts of truth, so that is the result.
My favorite was the "If it takes 30 musicians 40 minutes to play Beethoven 9th Symphony, how many minutes does it take for 60 musicians to play the same piece?"
@@jaredwonnacott9732 Set every musician plays equally (no troubles, no ability differences), 30 is the maximum to play one song, so 60 people should at least two turns to complete the song. Answer is 80 minutes.
Yea
Luis: "I'm full"
Marty: "I'm still hungry!"
Lois: "Why did I get dragged into this?"
Damnit Lois
@@Chineseisntalanguageapparently Right!!! Lois is like "Am I getting pizza or what?" 🫤
Glad I wasn't the only one who was bothered by that.
Why is he saying Lois?! Gah!!!
"Petah I ate more pizza than marty"
The student gave the ONLY correct answer to that question. I can excuse a teacher for not writing a good question. I can excuse them for not having thought of the correct answer themselves but when the teacher read that answer, they should have realized their mistake. I I were a teacher, I' be impressed by my student who is thinking logically.
That was the only answer yeah. The 1/4 and 1/5 argument only works if it was stated both pizzas were exactly the same. If Marty's pizza was bigger, even if he only ate 4/6th of his pizza, aka 66% versus 83% of Luis, If Marty's pizza was bigger, of course he would have eaten more
It's not technically the only answer. For example: Marty ate 4/6 of his pizza he could have also ate the rest of luis's pizza and half of his other friend bobs pizza and therefore ate more pizza.
That answer would also work in a world where all pizzas are the same size.
Another answer would be a loophole in the bad English of this question. The word “his” is used twice and the first one clearly refers to Marty’s pizza, whereas the second “his” could refer to Marty’s pizza or Luis’s pizza. So you could take a guess that Luis actually ate 5/6 of Marty’s remaining 2/6 of pizza. Assuming Marty’s pizza was a full pizza when he started eating it, that would mean Luis actually ate 5/18 of a full pizza which is less than 4/6.
@@emwols That would actually be your bad English, not the question's. Each use of "his" refers to the subject before it, i.e., "Marty ate 4/6 of *his* pizza" / "Luis ate 5/6 of *his* pizza". For each use of the pronoun "his," the subject is properly and explicitly stated. The problem is grammatically correct.
Another possibility is Marty ate the crusts and Luis didn’t and the crusts are significant.
If the question ended with "Is this possible? If so, How? If not, Why Not?" You could argue that it's open to interpretation in which case you'd have to mark both the kid's answer and the teacher's answer correct. However, the question is worded "How is this possible?" It assumes that it is possible and asks the student to find a way for it to be possible. The child's interpretation is in fact the only correct answer.
still no. The teacher would still be wrong.
@@lorenztor1990marking the kids answer wrong would be wrong but the response given itself would not be, as its open to interpretation. Im sure this guy was just really tired when he was grading those papers
The answer is..Marty’s pizza was bigger, really simple.
@@OzMate79yes, isn't it obvious??.
So true
The teacher grading on reasonableness was unreasonable. Seems right
have to make three left turns to make this work. hahaha
Idk, seems ... unreasonable 🤔
And the teacher can't even blame it on Common Core.
And worse, the teacher didn't even provide an answer, the answer of the teacher was going against the given of the question. It's like having a problem like if 2 + x = 5 then what is the value of x? and the student concluding x = 3 then the teacher saying the student is wrong because 2 + x does not equal 5. In both cases we are dealing with a teacher who is too incompetent to even read and understand the question.
Teachers are supposed to be preparing kids for the REAL WORLD. I would say this one is doing it right.
Lois didn't eat any pizza, Luis did. So Marty did eat more than Lois
Yeah man I thought this guy was smart until he said Lois
@@Knulppage because pronunciation has *everything* to do with intelligence. (sarcastic. it doesnt.)
@@user_hat neither does spelling ability but I still turn my nose up at not even saying Louis but he said Lois like whAaat?
I was there, I'm Luis. I ate less pizza than Marty. And I really wish you'd stop calling me "Lois."
Why Marty be out there ordering a bigger pizza for himself tho
Since Luis by now changed his gender, Louise ate more Pizza, because she is smaller and doesn't need so much to get full
@@paulpaulsen7777 Louise is yet another different name. Also, how did you find out about the transition? It was supposed to be a surprise...
@@Galamoth06 Oh Dear! My bad. Did I tell too early 🫣😅
1,000x yes! Hard to watch with the wrong name being said over and over 😣
The problem is that the question was phrased as
“How is that possible?”
Not
“Is that possible?”
That “how” assumes the previous statements were already true and asks for a justification.
I don't see how the absence of the how or inclusion of the how makes a difference, however you slice it.
That only partially solves it because it still "is" possible. So half the students may give the not possible answer and the other half would give this answer. You would also have to list the assumptions like "given the pizzas are of equal size"
@@charg1nmalaz0r51 It does only partially solves it, but this simple fix makes it such both answers are acceptable and the teacher’s “correct answer” is not objectively wrong based on wording of the question.
@@charg1nmalaz0r51 I mean questions of those sort that I've dealt with it tend to be
Is it possible? If so, provide an example. If not, why not?
I dealt with a lot of mathematical proofs back in my school days...
@@birdwatcher101gbh Very simply it was asking an open question instead of asking the closed question. It's the difference between "how many likes did this video get" vs "did this video get any likes" Wording matters and when you get it wrong you will get responses you are not ready for. TLDR teacher made a mistake and instead of recognising it punished the child.
The thing that upsets me most about this question is that it PRESUPPOSES by its wording that this is possible, but the answer the teacher wants is that it's NOT possible.
Exactly. It states as a matter of fact that Marty ate more. Kid’s answer is correct.
If the question stated as a premise that they were each given an identical pizza, and if it asked "IS this possible, and if so, how?" then the teacher's response would be alright.
But as worded, the kid's answer is perfect. I would also have accepted "Marty was given 12 slices and ate 8 of them, Luis was given 6 and ate 5" - 'pizza' can be a mass noun, so "his pizza" doesn't necessarily mean they each had exactly one pizza, it could mean "his [share of] pizza".
The "teacher wants" the student to be an obedient corporate slave. That makes problem solving skills problematic.
Smart kids are very bored in school. They don't grow up wanting to be teachers.
@@tinymetaltrees You’re reading too much into this; with the information provided we can’t know if the teacher wants the student to be a corporate slave. Using Occam’s razor, a conclusion that the teacher made a mistake in the framing of the question, is more likely. From experience, I would suggest that most teachers have not experienced corporate culture, and their sole goal is to get students to pass exams, because that is typically how teachers’ success is measured.
This teacher was definitely one of the people who thought the third pounder was smaller then the quarter pounder.
Reminds me how in 6th grade, our first semester math teacher gave us a bonus problem on a math quiz: Given a pie, how many equal slices can you make with exactly 3 straight cuts? The answer she wanted was 8: you make two cuts to slice it into quarters, then stack the quarters on top of each other and slice down the middle to make 8. Not everyone got it, but that was okay, it was just a bonus question. You could still get a perfect score even if you got it wrong.
Our second semester math teacher gave us the same bonus problem on one of her quizzes: given a cake, how many equal slices can you make with exactly 3 straight cuts? As we had knew the trick from the first semester, everyone put 8. The teacher informed us the next day that every single one of us was wrong... because, according to her, "you can't stack cake like you can stack pie." On top of that, she gave everyone -1 on their final score for answering incorrectly, and since the quiz was out of 10, that was basically a full letter grade drop. (Admittedly on a quiz which contributed very little to your final grade.)
Some teachers just suck at their jobs.
Well, then couldn't you just fold the pizza in half (twice, three times, four times, etc.), and then make three straight cuts? In which case, the answer would be (mathematically) infinite, with the practical upper boundary being restricted only by the laws of physics limiting the number of times that the pizza could be folded?
@@jamesday3591 The original quiz might have specified "apple pie" -- at the very least, that's how I've always pictured it. I like that alternative, though!
@@temtempo13 If it's apple pie, then I might be tempted to say zero, because I would simply grab a fork and start eating. I mean, cutting apple pie might make other people think that it's an invitation for them to have some, and that would be completely outside of the "reasonableness" given! Hahahahahaha! :) Funny how I'm more willing to share pizza than apple pie. Hmmm. I wonder what that says about me from a Freudian and/or Jungian perspective. And then, folding apple pie would be completely ridiculous, so, yeah, eight. Eight slices from three cuts, with two of those slices going to two guards that I hire to keep other people from getting any. Eight. Maybe the guards could split a single piece. Was the teacher asking "gross" or "net"? ;)
I...I'm sorry, 'cake can't be stacked like pie'? PIE can't be stacked! Cake is *constantly* being stacked, you'd be hard pressed to buy a cake that *isn't* at least two layers with some cream in the center. Besides which you don't even *need* to stack the cake, you can cut it in quarters then slice horizontally through the center of the cake. Any pie I've seen is either a crumbly uneven crust or an open crustless top, and you're more likely to have pie slices moosh and tilt and slide all over each other than you are to have cake do that. I guess we're assuming the *pie* defies physics to allow the stacked cut, so the cake is *also* defying physics to *not* allow the cut? I'm...unreasonably angry at this story of yours. I've *never* heard of stacking pie but I was willing to accept it because it's a logic problem not an actual baking challenge. But the very idea that you can't stack *cake* ...even Donkey from *Shrek* knew cakes have layers! 'Can't stack cake'...that's going to be echoing around my head all day. What the hell.
@@Scottthespy13 Did I miss something? Where's the story about cake? I want some cake. I especially like the ones with cream in between the layers! Pizza is good! And pie is great! (It's like 3.14 times better than Pizza, or something like that.) But I don't remember anyone mentioning cake. Thoughts?
Wow, this teacher needs to be fired. The question specifically SAID that Marty ate more. That is a GIVEN. You can't say no, Louis ate more.
Exactly. Marty ate more, that's stated explicitly in the problem statement, it's not up for debate and can't be contradicted later.
I get what you are saying, but they definitely don't need to be fired. It was just a trick question, and the teacher shouldn't do them anymore, that's it. (I wasn't trying to sound mean, so I am really sorry if it sounded like it was.)
also, the question itself asks "HOW is that possible" which implies there is a way this can logically make sense, instead of "IS that possible"
@Eggstrawdinnery wasnt a trick question at all, i also doubt this teacher wrote the questions if she had the wrong answer, and must not have used given answer sheet when marking, shes overconfident in her abilities and cant accept she may be wrong. With qualities like that she shouldnt really be teaching. What other things is she marking incorrectly or simply teaching the kids incorrectly.
It's a terribly written question, but teachers are allowed to be wrong too. This is not something to get fired over. Hopefully the student saw the teacher after class and asked for clarification, the teacher saw the question was badly written and agreed to accept the student's answer.
The real issue here is that the teacher doesn't understand what the point of the question is. This question is asked specifically to highlight one very important point about fractions: fractions can only be compared if they are fractions of the same size group or object. That is the fact that is being taught there. It is useless to compare 3/4 of this pizza with 3/5 of that pizza if the pizzas are not the same size. When we teach fractions at school, we often teach them mostly in an abstract sense where we just assume the object or group that the fraction is taken from is always the same as every other one. In concrete situations, this cannot be assumed.
I think the real point of this exercise was to get the student to think outside the box. A riddle really. Thinking of it too much as a math equation and you won't come up with the answer. The teacher looked at it purely as a math equation.
@@ScottCleve33 There is no trouble with finding the answer by thinking of it as math equation as long as you know what equation it would actually be (4/6x > 5/6y which a math teacher should know) though I suppose that is probably a test for kids still learning fractions so equations with unknowns might still be unknown to them.
@@user-zj9rr6yc4uyou don't need to include variables. It's as easy as upstanding how units work. If I gave 2 people a bottle of soda and one complained but I said "why are you complaining. You both got 1 bottle" but 1 of the bottles was 20 oz. and the other was 2 liter I'd complain too. The only unit given is 1 pizza. Size was never given
Indeed Marty has a larger pizza
look for a comment like this. So many idiots in this comment section think the teacher wrote that question, which is really difficult to believe. It's very obvious what the intent of the question is. The student had it spot on, while the teacher completely missed it.
I remember a science teacher once posing the following problem: why does a boxer get more tired during a boxing match rather than hitting a punching bag.
The answer i gave was "the punching bag doesnt hit back."
I was told that was wrong.
The answer the teacher gave is the boxer is missing punches so he is wasting energy every time they punch.
...i dont know about you, but getting hit in a fight is going to wear you down and, i dont know, tire you out?
And both are correct... But if you are solely speaking about energy dispersion, getting punched doesn't drain your energy, only leads you in a neurological state of confusion
This is the problem with every answer being graded. Sometimes out of the box thinking should be commended, and instead of lecturing, the teacher should share their insight without being arrogant.
I came up with a list of possible explanations when I first saw this years ago. Let me try to recall...
- Marty's pizza was bigger. (no size specified)
- Marty's pizza was thicker. (variant of above)
- Marty ate 4/6 of his pizza but also part of someone else's pizza. (consumption of pizza belonging to others not specified)
- Marty has eaten lots of pizza for years, while this was Luis' first time eating pizza. So over their lifetime Marty has eaten more pizza. (no time period specified)
- Luis lied about how much pizza he ate. (truthfulness of statements not specified)
- Luis ate his pizza, then got sick and threw it up. (events after eating pizza not specified)
- Luis didn't eat the crust because he doesn't like it. (definition of "ate" not specified).
- Marty ate 4/6 of his pizza, then Luis ate 5/6 of Marty's remaining pizza. (the second "his" can refer to Marty)
- Marty later ate a dessert named "more pizza than Luis." (ambiguity between phrase and name; can also say "5/6 of his pizza" is a non-pizza food)
what was that last one😆
last one is crazy
I was looking for this. 😂
Thanks, that was interesting!
You missed three obvious ones:
- Marty in question is another Marty who ate the whole pizza.
- Luis in question is another Luis who didn't eat any pizza.
- They are both two other people and Marty ate more than Luis.
This reminds me of a friend of mine, when ordering a pizza they would ask him “do you want it cut in 6 or 8”. He would always respond 6, saying there was no way he could eat 8 slices !
It's a way so that when his girlfriend looks funny at him when he later orders a hamburger, he could say: "What? I had only _six_ slices of pizza today!"
Is he a teacher by any chance?
🤦♀ this is a lie, isnt it?
This is an old Yogi Berra joke!
I am always left with 2 slices, that I cannot possibly eat, that is how my brain works
This reminds me of a math problem I had in high school. The teacher had us calculate the angle between the hands on a clock, and then what it would be 10 minutes later. It turned out they didn't expect us to consider the movement of the little hand, so my answer was different than the "correct" one. Fortunately, my teacher was better than the one in the video and marked it as correct and praised me for it.
Yes, the little hand moves 5º every 10' and the large hand moves 60º every 10', so the difference would be 55º (60º-5º as they both move in the same direction). Good for you for noticing and good for your teacher for acknowledging it.
Obviously the little hand doesn't count
@@1Peasant It's not particularly hard to work out that the hour hand will move 5° and the minute hand will move 60° in ten minutes, so it will be 55° further apart. If this was a high school question, then we should expect the students to take that 5° into account without explicitly telling them to do so. Ok, maybe it's reasonable to tell kids who have never even seen an analogue clock, that the hour hand will be halfway between the three and the four at half-past three. 🕞
@@wormalism I am of the earliest gen z and I sometimes feel I'm one of the few gen z's who can read analogue... everyone has apple watches that show steps heartrate and plays your music with bluetooth as well as telling time, and despite being an iphone boy I'm using an analogue watch cause I like it... and it's also my 18th birthday gift.
Luis ate New York-style pizza, while Marty ate Chicago-style pizza.
This is the best answer so far.
If the radius of the pizza is z and the thickness is a, then the volume of the pizza is pizza.
very good
So true
He already created 2 shorts on this topic
very true, maybe Marty had a deep dish pizza that could be considered more the the thin crust that Luis had.
words to live by
0:35 if we are going by the question, it's clear that the teacher didn't follow it through. the question clearly states that Marty ate more pizza. so the teacher's answer is inheritly wrong to begin with.
I think it was the kid was supposed to call out that the question was bogus XD
@@jamiebarlow2546 in the teacher's mind, yeah
@@jamiebarlow2546 The question is bogus only if there is no other explanation. Of course, the student could instead call out for clarification instead. The student can also make reasonable assumptions, BUT will have to clarify whatever assumptions they made, in which case, if they assumed that the pizzas are the same size (which is a reasonable assumption), then they can claim the question is bogus.
@@sinteleon I don't agree that it's a reasonable assumption when the question itself states that Marty ate more. If it asked if Marty could have eaten more that's one thing, but it outright stated he did. So the natural conclusion is that Marty's pizza is bigger. Assuming the question is an unreliable narrator for lack of a better term is ridiculous to ask of a kid, especially in a math class where most of it is defined by rules.
@@generalgarchomp333 Perhaps, but again, I'm just saying that taking the "reasonable assumption" approach is also a valid way of approaching this problem, as long as clarifications are stated. Especially if this is meant as a maths question and not an english/wording question.
I've seen more than a couple of maths and science questions that had logic errors in their setup, sometimes people actually make mistakes in typing it all down.
The question says that it happened as fact and does not state the sizes of the pizzas.
This teacher doesn't understand the question and is only looking at the numbers.
Since the sizes aren't given, it is reasonably assumed that the sizes are the same.
"Marty ate 4/6 of his pizza and Luis ate 5/6 of his pizza. Marty ate more pizza than Luis. How is that possible?"
As a matter of fact, Marty ate more pizza than Luis. If both pizzas are the same, that statement given as fact within the problem would be incorrect and the question would be, basically, lying. The only way it is possible is if the pizza sizes are different, which is what the question is asking.
@@polarbear1713
Say what? 😭
@@onetwo6039 🛫🤔🛬
@@onetwo6039 the inherent problem with this question is it is asking how this could be true, stating it as that it is fact. the teacher is saying this is in fact not possible, and as such the problem was actually lying, it said Marty ate more when he, in fact, did not. The problem with this, is if the question is lying, then how do we know any of the question is true? perhaps Marty actually ate his whole pizza, and luis got his pizza stolen by an animal. how could we know? because we have to take the question as fact. but the teachers answer is that we cannot take the question's statement as fact.
This is why so many children hate math. It's not because math is a difficult subject, but it's teachers like these who make it difficult
Who is Lois? It’s Luis. Whoever Lois is he/she could very well have eaten more than Marty or Luis.
Superman's girlfriend can eat the whole pizza if she wants to. Nobody's gonna mess with her boyfriend.
I fully agree
Peter griffin’s wife definitly could eat some slices of pizza
THANK YOU. I was going to say "man, I'm glad you're great at math, but could we have someone great in reading to do the voice over?" That was driving me up the wall. Lois ≠ Luis
@@csowley He said Lois repeatedly
You can't just say, "How is this possible?" and then the answer is "wEll ITs ActUaLLy NoT pOSsIblE!!!! yOU sHoULd HAve kNOwN!!!!!"
Well, you can. That was the actual lesson: words do not have strict representataion in real world and not necesserily carry meaning, no matter the authority of the writer.
This becomes more noticeable more detached you become, like in coding and finance.
No, that wasn't the lesson.
@@feedbackzaloopif this was a philosophy class, then fine. Has no business in a math class.
@@imethanOW bait indeed. And that's another lesson learned⭐
@@feedbackzaloop You can't, the sentence states : That Marty ate more than Luis, how is this possible. So the question is lying to you or is trying to make you understand that using real world concepts to explain math does not always work. But teacher did not do that, rather he doubled down that math and real-world concepts should be treated the same. Despite giving a contradicting statement about it being possible that they are not the same. Fact of the matter is they are not the same !
A former math teacher once wanted us to calculate how far you could see if you were standing on top of a tower, taking into account the curvature of the earth. So he told us how high the tower is and that we should assume the earth is a perfect sphere with a given radius. For the whole calculation with the correct result you would have got 8 points. One student wrote "If you look up, you can pretty much see to infinity" and the teacher wrote "That was of course not what the question asked, but you are technically correct and the question was poorly phrased", so he still got at least 1 point for that answer.
TBF surely that kid knew what she was actually asking and was just being a smartass
Well, not infinity, only 13.7 billions kilometers in one direction.
@@pelinalwhitestrake3367 Actually the furthest object we have seen so far in universe was 46 billion light years away, that's 435,205,999,999,999,994,232,832. But just because we have not seen anything further than that does not mean that you cannot see further than that or that this is the end of the universe.
@@xcoder1122 And every second we can see a bit further, but that's still not infinity.
@@pelinalwhitestrake3367 That depends on your interpretation of "how far you could see". Even if you are on a tower on Earth, you cannot always see as far as you theoretically could. For example, there might be fog, or it might be night and a new moon, so it's too dark to see anything at all. And what if you have poor eyesight and no glasses? So there is a difference between how far you "could" see and how far you actually "can" see. The question was how far you could see, that is, under optimal conditions, with nothing obstructing your view, you having superhuman vision, what is the farthest you could ever see. The only reason you could not see infinitely far out into space is because space is finite. And if you have proof of that, you should publish a paper and the next noble prize will be yours.
It is possible if the second "his" was still referring to Marty. Basically Luis ate 5/6 of the remaining 2/6 of Marty's pizza . There was only one pizza.
The question literally "how is it possible?" Not "why it wrong?" End of the question.
I personally perceive this question not as “Non-percentage wise, who ate a greater quantity of pizza”,this kid would be correct, but percentage wise, you could reason that perhaps Luis had less slices of pizza, which would make his pizza with less slices not smaller, but still equal to 100% of the pizza even if it is missing a few slices, that’s still his perception of 100% of the pizza. Marty, may have all his pizza slices, thus that’s 100% of his pizza allowing HIM to eat more because his 100% isn’t larger, it’s the same size just with more slices.. maybe I’m crazy but idk. Still feels too complex for a child
Read the question, not the clue. "How is that possible?"
Can people stop being smart ass and think like a professor when the questions for gradeschool are being presented?
Yeah it looks complicated because you think like a professor not as a grade school child.
@boyce5994 I'm trying to understand what question you are answering
I was trying to figure that out too, but he did say he is a stoner. So maybe we're the fools for even trying to figure it out.
“Reasonableness”
Teacher ignored given info from the question, what a failure
The etho
wait I spelled that so bad I meant True Tho
A good math teacher makes ALL the difference.
I had a simple problem on a test, went to the teacher for help, and he realized that I was massively overthinking the problem. So he literally told me to just to close my eyes, take everything I was thinking, and stop. I was naturally skeptical, but I eventually did. He told me to open my eyes a couple seconds later and look at the problem. When I did, I instantly saw what I had been doing wrong and was able to solve the problem easily. He not only understood what I was doing wrong, but why, and knew exactly how to get the point across.
Is your teacher Yoda or something? He taught you the force lmao
@@vectorsahel5420It's called a fresh look, studies have shown taking breaks and coming back to something helps you figure it out easier.
What was the problem?
@@jdh9419 Sadly I don't remember the specifics of the problem itself. It was 20 years ago.
@@jdh9419 If I were to guess (since he doesn't remember), I'd say a geometry problem. Some of those can have a really simple solution if you draw one or two correct auxiliary lines somewhere but otherwise(including drawing the wrong ones) could involve a huge series of calculation, solving for every segment, angle and whatever else in between to get to the final answer.
Most other type of question tend to have a fairly clear line of solving that you either know or don't. Unless it is meant to be tricky but that won't fit the context of the story.
1:56 OH GOD I JUST REALISED THOSE AREN'T PEPPERONIS
Oh wait you’re right
Wait what the-
WHAT
who would put *_JUST_* tomato on a pizza??
Edit: yes there's cheese but try that combination and it probably won't end well
huh
@@ruthkatz1998those are tomato slices
Always hated teachers like this. Not much point in trying to trick a student, and also should be encouraging outside of the box problem solving.
If you put a large pizza in a small box it would literally be outside the box
This isn't trying to trick the student. It is trying to make them think. Which apparently this teacher couldn't do as well as his student.
@@cbuzz2371if you put a small pizza outside a large box, it would also be outside the box.
You have to take the pizza out of the box to eat it. Assuming you don't eat the box too.
Yeah, the teacher knew the student was right too but they were looking for a certain answer and punished the kid for being smarter than them. You know no matter how much the kid protested, the teacher wasn't going to change their mind either.
When I was in high school I had an English teacher that was a real piece of work. She could not grasp the concept of percentages. I spent an hour after school one day trying to explain it to her but it was like talking to a wall. Her guide book said that 94 was needed for an "A" and 69 to pass & she could accept that for one test but if she gave 10 tests per semester, instead of 940 for an "A" & 690 to pass she just added 900 so you had to score 994 for an "A" and 969 just to pass. I embarrassed her in front of her class many times so I expected her to fail me, which I wouldn't have accepted, but she gave me a "C" that should have been an "A" & I took it & moved on. She made us read stories and we had to know about the authors, so this one guy from Scotland wrote about this "bonny" lady that had everything that she needed but was never satisfied. The teacher had never heard of the word "bonny" and thought that it was "bony" & changed the whole meaning of the story. saying "the poor woman always wanted more because she was bony & couldn't afford to feed her kids". I couldn't help but laugh out loud at her & so she made me read the definition of the word "bonny" in front of the whole class.
So, in essence, you had to know that the author is from the British Isles, but disregard British Isles slang as typos.
I hope you were very articulate as you read that definition out loud.
@@markhoffart622 I'll never forget the look of disbelief on her face as I tried to keep a straight face. I have no idea how she made it through a legitimate university to get a teaching certificate.
Your teacher must not have ever watched "Lady and the Tramp". "With a bonny, bonny bone that I'll bury for my own; in the bonny, bonny bank in the back yard. Ah, that's a grand site."
i'm wondering how a math teacher is so clueless as to get the wrong answer AND be such a snot about it.
I can almost guarantee you that she’s not a math teacher! This type of problem is probably a 4th or 5th grade problem so the teacher teaches all subjects to her kids. So she is a teacher who HAS to teach math and is not particularly good at it!
handwriting suggests, late second or early third year.
@@ti84satact12 Her reading comprehension isn't very good, either.
@@OpenCarryUSMC OR maybe the teacher has brain damage from eating too many crayons.
Probably Florida after cutbacks. So much for the promise of Lottery money benefitting education. LOL
Imagine if the kid came out with the answer Marty pizza must be larger by about 11.8% and showing all the workings.. The teacher would still rule it wrong because it wasn't in their answer key 😂😂
The 11.8% assumes that pizzas only vary in their diameter. They could vary in thickness and density too. It would be better if the question referred to the weight eaten, then Marty's pizza would have to weigh at least 25% more than Luis's.
@Scaw it still doesn't change the fact that based on the teacher's answer key, it is a wrong answer because 5/6 is bigger than 4/6
Teacher refused to be wrong, thus was biased against the student.
Or maybe he read the solution sheet and the solution was written down as that, making the cheat sheet wrong and the question incorrectly formulated. But either way the teacher becomes the target for being wrong here. When students are smarter then their teachers.
@@StealthMoustache Students being smarter than their teachers is very common
@@Mechazoid5116 You would wish that to be true, a lot of the time it is, but there's also a lot of evidence to say that students are becoming increasingly dumber.
The child isn't smarter, and neither are any of you. It's poor communication on the teachers' part writing the question that way, but to be honest, it's a math class. The kids are obviously learning feactons. The real question behind the story is, which fraction is bigger? the answer is obvious. This is why context matters.
@@TychoKingdom We don't know whether it's math class or not. It could easily be some other class. I live in Russia, we had one class in eighth grade (don't remember it's name) when we developed creative thinking and other stuff like this, this exact problem would be great for the same class but in fourth grade or something like that.
If it is a given that Marty ate more than Luis how can you do a switcheroo "nope, he didn't"?. We aren't supposed to question the given facts of a problem. We assume them true and proceed from there.
"Given that x+1=2, solve for x". Student "x=1" Teacher "You are assuming that the given answer of 2 is correct. It can't be because x=2, so x+1 must equal 3"
@@joe-s5rspeaking of assumptions... you assume igaf
All hope of improving the education of our kids is lost with such teachers. I find it especially irritating how the word "not" was underlined. To emphasize (the absence of) reason and authority? Let me guess: The teacher is a woman.
Sometimes you can use mathematical reasoning to prove that the original "facts" as stated are inconsistent. This is the principle behind "proof by contradiction". It is something to keep in the back of your mind when solving problems.
The problem was that the teacher looked at this as a purely mathematics problem when it wasn't. It was about thinking outside the box.
Luis ≠ Lois
"Lou" + "piece" - P
Or Louis.
He said Luis the first time, oddly.
And "Marty's" ≠ "Martiz"
Loose Lois
1) Great Video!
2) Teachers like this are exactly why I HATED elementary school as a child. Even worse, is when an adult doubles down on being wrong out of embarrassment. So aggravating.
The teacher wanted "not possible" as answer but asked "How to make it possible", so the student answered correctly and the teacher wrote the question poorly.
Amazes me how many people think the teachers come up with the problems themselves. Flawed assumption. The child gave the exact answer the question wanted him to because it was a reasonableness problem. The teacher just didn't understand the question she copy pasted
@@timgalivan2846 The kids in school themselves definitely know how few teachers come up with their own questions. When I was going through school 95% of the homework was easily bypassed, as the exact paper was uploaded with answers online. The state of the US education system is ridiculous.
There was nothing wrong with the way the question was asked. The teacher was just wrong.
@@VioletVal529You’re correct, of course.
This reminds me of the time I brought a young female foreign tourist to a work mate’s house, and his 6-year-old kid asked my foreign friend the joke question: “Why did the chicken cross the road?”
FF (Foreign Friend): “How old was the chicken 🐓?”
Since the kid was confused by this, I suggested she just say: “I don’t know? Tell me why?”
She became irritated 😠 as in: “How can I answer the question if I don’t have all the facts?”
I had a feeling this was going to take a long, long time !! ⏰.
So … by consensus we finally agreed the chicken was female, and about 3 years old. It was a White chicken 🐓. It was about noon 🕛 and slightly overcast. It was a country road, unsealed with very little traffic …
You get the general idea. And this seemed to take forever as in: “It’s a joke …!”
FF: “It may be a joke to you, but not the chicken 🐓.”
And, on it went ….
30 years later my friends still talk about “why did the chicken 🐓 cross the road?”
This gets back to the poorly worded pizza question. The teacher should have realised that there was more than one answer, and praised the student for pointing this out.
The biggest problem, is the word question proposed goes way above the student current level of math and able to rationalize via formulas as given in the video above.
This is what happens when people are told WHAT something is supposed to be and don't understand WHY it is that way.
The liberal way of screwing up.
It's more likely an example of people predicting accurately the kind of instagram post likely to go viral and mocking it up. Everybody loves the "student is smarter than the teacher" story.
@@gyorkshire257 that's entirely possible but after being through a lot of inductions for various jobs i see a lot of people who are supposed to be teaching something and know what the answer is because its in the book but don't know how to phrase the question right because they don't actually know how and why the answer is what it is.
@@Holmberg_Audiothe Conservative way of "thinking"
@@gyorkshire257 no mate, teachers were doing this since the dawn of mankind before the likes of instagram lol. This is why everyone hates maths
“If Luis’ name is pronounced as Looooo-iss how many times will the narrator pronounce it wrong?
Show your work.”
Hahahaha I'm glad you posted this!
Show your work and explain.
All of them.
This Lois guy might have eaten more than the both of them.
The most important thing that it is not given that they have identical pizza and also it is given that marty ate more.We can't deny a given statement
It's not just a wrong way to correct the question. The teacher's correction defeats the fundamental definition of what a fraction is. It's like asking "How many bananas can you eat in a day?" and the answer you're expecting being "None, because bananas are used to build origami, not to be eaten." Which, if a teacher ever said to me, I'd change schools entirely lmao
The volume of a pizza is pi*z*z*a, with z = the radius of the pizza, and a = the height of the pizza.
😂😂😂 that’s great! 🍕
This is the best thing I've seen today so far
Pi is everywhere even when the e is missing.
Pi + e = Pie
Now I want pie... and some Weeble and Bob! 😛
Copied comment
1:55 I completely stopped paying attention once I noticed those pepperonis were really tomatoes slices.
Same XD
WHY DID YOU TELL ME 😭
The real value of this video.
Me too! I was about to post the comment until I saw yours. Greatly disappointed it’s not a mega pepperoni pizza….
I was so disappointed! It looked like a super tasty pizza until that point 😂
my older sis immediately squinted her eyes when she saw the teachers correction..
remember the time when Hardies offered a 1/3 pound burger to beat Mcdonalds 1/4 pounder? it failed because people thought it was a SMALLER burger because '4' is larger than '3'.....SMH
whereas i watched a few minutes of... "pro bull riding"... well, it was something different,wasnt it?
anyway, i was impressed when the commentator stated the score of one guy as "something something and three quarters"... when what was clearly displayed was "point 75"...
Y'all know that .75 and 3/4 is the same thing, right?
@@Urielthalas exactly... its just a large number of people, possibly 75% of them... cant deal with mathematics at such an advanced level...
it was just amusing the he said it as a fraction...
@@paradiselost9946 I guess it's just been a long time since I've considered fractions and decimals "advanced", but you're probably right. I often overestimate what people should know based on what I know.
americans
isn't the Question.. how is this possible? ... The only way its possible is if the pizza was bigger.. its not even a math question to me.
Exactly, it's labeled "8. Reasonableness", so it's a logic question, not a math question. The Question is "How is that possible?" and the student's answer states how that is possible. Another valid answer is "Marty's pizza, although the same diameter as Luis's, was thicker, so weighed more per slice. More weight, not more area."
Definitely logic, but also could be considered mathematical logic - which is a subfield of math.
You could even write the problem here in mathematical symbols, as:
If 5/6*X < 4/6*Y, then is
a) XY
c) Z=Y
Which makes it clearly mathematical.
That being said, I prefer the way the question is worded here to make it a little more thought provoking that just a basic algebra inequality…. If only the teacher knew the answer
You're right, it isn't a math question
It's a riddle
We can also assume that Luis ate 5/6 of MARTY's pizza after he ate his 4/6th
And that Marty was very unreasonable eating 4/6th of the pizza all by himself.
It is a math problem because it is checking the understanding that how the size of a fraction, as measured in some unit, is dependent on what is the overall size of the thing being divided into fractions is. It's showing a real-world application of a basic mathematical principle.
It's a common sense question. Unfortunately the teacher had none.
This is Alexander solving the Gordian Knot and the king saying “no. You were supposed to use your hands.”
Not even. More the opposite, the kid solved the Gordian knot by hand and then the teacher said you're supposed to use the sword. The answer the kid gave is exactly what the question asked for, it was completely reasonable, no trick or out if the box thinking.
The teacher wrongly thought it is a trick question, when it was easily solvable.
lol nice reference
@@zagreus5773 No. This is not even about Alexander. This is Greg moving haystacks as he was told and the adult saying, "It was supposed to be on the other side."
the teacher is incorrect, A) the teacher ignored the given task as it is GIVEN that marty ate more and B) the question could've been worded in a way that alludes to it being impossible for example : "marty ate 4/6 of his pizza and luis ate 5/6 of his pizza. marty ate more pizza than luis. is this possible? if so, how? if not, why?"
Am I the only one screaming "LUIS" at the TV?
He says it correctly at first, when reading out the problem, but after that, he settles on LOIS... 😄
"Luis" is the Spanish name of the English/ French name "Louis". It should (ironically) be pronounced like its English feminine counterpart, Louise.
He says “Louis” the first time, and then “Lois” afterwards, but not “Luis” (at least as of 2:36).
Just commented something similar. Ha!
No, you're not. If we each took a shot every time he says Lois, instead of Luis, we'd be dead from alcohol poisoning before the video ended.
0:12 Why did he say it like “reasonable *NESS* “
Cuz he wanted there to be four video game characters instead of three
Earthbound fan obviously
sans undertale
Because he was forced by Dark Ness not to.
😂
My math teacher got a problem wrong once. We told her that she had gotten it wrong, and she checked on the calculator. The calculator showed the correct answer, and she put her phone face down and said “yes I’m correct”.
"No, because 5/6ths is bigger than 4/6ths" is something I'd expect from an elementary schooler just learning fractions, not someone with a college education lol
I mean I can see that answer being the case after days or hours of marking tests, rushing to meet deadlines
It's possible if Marty had a larger sized pizza than Luis. Let's say Marty had a 16" pizza, and Luis has a personal 8" pizza. 4/6 of the large pizza contains more pizza than Luis's 5/6 of the tiny pizza.
I'm sure if we pump more money into the education system, that'll fix it!
"Teachers" like that are one of the reasons why kids start hating math and school in general.
I've worked as a college math tutor, it breaks my heart what some of these kids must've gone through, basically I'm doing more PTSD exposure therapy than actual math
Yeah because kids start doubting and double guessing what they think the teacher wants rather than chilling and using their brains and answering a question. I started an online course as an adult and when i see questions i still have this doubt creep in with every vague poorly written question.
And then the devil said "Let there be letters in math".
@@ocstrangeness the pizzas can be written as letters, which the student intuitively understood
@@ocstrangenessletters aren’t that bad at their simplest form
The only controversy here is why Presh insists on pronouncing L-U-I-S as "Lois"
He may have concluded having no female representation in the question needed “correction”, lest angry activists report his video as sexist.
Luis had a smaller pizza was my first thought
Marty's pizza has a diameter of 58 trillion light years, Luis has one that is a mere 3 nanometres.
I'm pretty sure a mozzarella molecule is bigger than 3 nm.
@@CarmenVerandawould love if you say even our solar system radius is smaller than 58 trillion light year😂😂
@@CarmenVeranda He had a quark and gluon pizza with extra electrons.
Answer: Marty is still eating his pizza, and we're uncertain how much Luis ate.
Im pretty sure there is no such thing as "muzzarella molecule"@@CarmenVeranda
A better question than "How is this possible?" would be "Is this possible? Why or why not?"
This means that students would actually consider the possibility of it not being possible. It ALSO allows the out of the box idea for an answer, which is Marty having a bigger pizza. The teacher should accept both answers with the justification.
The homework is made poorly and the teacher isn't promoting good thinking
...But the correct answer would still be that yes it is possible, it depends on the size of the pizza- and the teacher would still insist that the answer was no, because clearly they aren't understanding that fractions are relative values.
yea but you still also have the problem of it still being possible. They would have to also state the pizzas are the same size
@@colbyboucher6391 yep it would have to state that both were of equal size
To me it seems that the teacher did not even understand the student's thought process.
“Marty’s pizza was bigger” isn’t an “out of the box” answer. It is the only REASONABLE answer given the question as worded.
I want to know what answer the teacher was looking for if it wasn’t that Marty had a bigger pizza. Were they expecting the students to say it wasn’t possible? Also, anyone else distracted the whole time by Presh saying Lois instead of Luis?
And if the teacher is expecting the student to deny the facts as presented... why only the fact about who ate more pizza? Why not instead deny the fractions? Or the pizza? Maybe one of them actually ate _pie_ instead, since we're making stuff up.
It appears the teacher wanted the "not possible" answer but failed to state all of his/her assumptions.
I think whoever wrote the question, was expecting exactly the answer the student gave. I don't believe that was the same person doing the marking.
-The cake is a lie- ✘
The pizza is a lie ✔
@@PekoraMamiCouncilHKAnd the pizza is a pie.
Here’s my theory. The problem states that Marty ate 4/6 of his pizza while Luis ate 5/6 of his pizza but Marty ate more pizza. How is that possible? The problem never said that Marty ate more of the pizza that was acknowledged in the sentence meaning that it is possible that Marty had slices of a different pizza prior to his current pizza and Luis might not have had any pizza slices before his current pizza slices or he had less pizza slices than Marty; resulting in Marty eating more pizza slices combined in comparison to Luis.
Marty might have been in his “big back” era 🤷🏽♀️
Oooooooh that boils my blood that this answer would be marked wrong. Even if it wasn't what the teacher wanted it's a completely correct answer, not some gotcha or joke. Telling that kid they were wrong was a huge failure by the adult.
2:50 you assumed the pizza is a circle...
absolutely. Everyone knows pie are squared ( not a circle)
...and that they were the same thickness+toppings.
@@eric4709How insensitive! Pizzas may be shapefluid and identified as pies or casseroles.
Wouldn't be a good mathmetician without lots of convenient assumptions.
what pizzas are star shaped?
For me, the words that stood out was "his pizza", meaning they had individual pizza's. You can assume they weren't the same size based on the question format.
So did teacher want a more accurate answer. Expressed numerically?
After 1:20 there is no point watching any more as the teacher is wrong.
Nothing burger video
I made the mistake of watching after that and just kept getting madder and madder as this guy with a channel correcting teachers mistakes misreads/mispronounces the name Luis for the entire video
Notice how the teacher underlined "Not". No room for argument or discussion there. That teacher doesn't like to be contradicted.
Yeah, because that's the correct answer.
@@mnmnrtYou must have had her as a math teacher. I feel for you.
@@mnmnrt Maybe in other universe, but in this one is NOT correct.
@@SomeDude.1117 Nope, I'm just capable of understanding basic concepts.
@@mnmnrt bait shows up in the strangest places, good effort though
I’d have said “so I’ll give you 5/6 of the money in my bank account and you give me 4/6 of the money in yours. Deal?”
This legit made me giggle 🤭
The teacher suddenly realized whose pizza was bigger, and by pizza, I mean brain.
That has no relevance whatever to the question, nor any of the reasoning used to determine the answer.
@@mnmnrt So you still think the 5/6ths of one thing is necessarily more than 4/6ths of another, regardless of what those two different "things" are. Got it.
@@mph7282 No, I think you don't understand context, and the fact that a question asked in middle school is different from a question asked in university, which is different again from a question asked in casual conversation, even if the text of the question is identical in each case.
You're not clever.
The question literally says the opposite of what the instructor put in the reply :/
Luckily I didn't have teachers THAT bad, but if I'd brought THAT paper home and told my dad "OK. Now what? When facts and logic fail, I don't know what to do", I'm certain my dad would have been willing to go set the teacher straight.
I'm assuming from the question that this was in grade school.
1:38 I had this whole comment going over how Marty's portion winds up bigger way faster than most people think, and how you can just get the square root of both diameters to figure out how much bigger the pizza needs to be, and then I pressed play and you immediately said all of that 😂😂😂
This is the same as when they say "a rooster lays an egg on a roof blah blah", only for them to say "roosters don't lay eggs". But you just stated that it _did_ lay one. Maybe it's alien, hermaphrodite, I don't know, but you said that it _did_ lay an egg. Likewise, this problem states that Marty ate more, as a fact. Don't come saying that he actually _didn't_ eat more, if you just said that he did.
Maybe it's a hen named Rooster.
It could've carried the egg and laid it down on the roof.
The rooster one has a contradiction in the initial statement because indeed roosters don't lay eggs. The pizza one has no contradiction because we can understand that it specifies that marty's pizza and luis's pizza are different elements and thus don't need to share size, shape, toppings or any other properties.
Also same as 'there was a plane crash. Where did they bury the survivors?
@@hughcaldwell1034
technically, a hen named "a rooster" if you follow that idea 😁
As long as i know, the question should have been : marty ate 4|x pizza and luis ate 5|6,
Because for math you have to match up the numbers down, multiplying the results to make marty's pizzas bigger.
(Srry if you dont understand english is not my native language)
The "teacher" should have been clued in by the question, "How is this possible?" as opposed to "Is this possible? Explain."
It doesn't matter. If the question was "Is this possible?", the answer would be "yes".
@@Trancefreak12it doesn't matter of course but the way the question is phrased inherently implies the question assumes it is possible, which should've clued the teacher in
@@Trancefreak12 that’s why you add “explain” to the end
No, the teacher should have specified that the pizzas were the same size AND asked “Is this possible?”
1:06 "Let's just try to reason what the teacher might have been thinking." Uh, NO. The teacher was NOT thinking. Exiting this video.
So you don't only have to answer the questions correctly, you also have to hope that the teacher knows the correct solution.
Same here in Germany, where they teach that a square is not a rectangle 😂
Welcome to the adult world.
@@torsten23did that really happen??
@@pigs18 You're probably younger than I am.
@@kingslayer4080 My point is that in the working world, you not only have to have the right answer you sometimes also have to convince someone that it's the right answer. (Especially when they have a preconceived notion like the teacher here.)
Actually you can make the math simpler by just calculing the diferense in the areas instead of the diameters. Marty´s area should be 1.25 times bigger or more. 4/6 * 5/4 = 5/6 * 1
Why are we assuming that the pizzas are round and that we measure the size difference in diameter. You can just use a nominal unit (mass or volume) of any size. And then make Luis's size a nominal size of 1. You don't even need to use units
Then you have two equations:
Luis: (5/6) × 1 = 5/6
Marty: (4/6) x Y = 5/6
You don't really even need the Luis equation except for understanding the idea of the Marty equation. You solve for Y in the Marty equation:
Y = (5×6)/(4×6)= 1.25
So, it needs to be 25% bigger. It's fine that this differs from the Diameter answer because neither mass nor volume have a proportional relationship with diameter. They're different calculations entirely. One is a length, the others - mass or volume, however you are calculating what "more" is. The best way to calculate this would have been the simple calculations, and then backing into diameter if you like.
Weight would be easiest.
My thought exactly. You simply need to have (4/6) x Y > (5/6) which is Y > 1.25
I had to scroll way too far to find this answer. It particularly irked me when Presh says that the pizza must be 11.8% bigger. No, it must have a 11.8% greater diameter because you assumed a circle. The correct answer is the one you gave, 25%, which is true for any shape and also accounts for thickness. Its also a much easier calculation.
It doesn't matter what shape the pizzas are (including any irregular shape), provided the two pizzas are the *same* shape that have simply been scaled by the same amount in width and height (i.e. maintaining the aspect ratio). This is about understanding dimensionality relationships under scaling.
For *any* consistent linear measurement L (e.g. the diameter, radius or circumference for a circle, or with a rectangular pizza maybe height, width or diagonal) on the shape, the area of the shape will always be proportional to L^2. Therefore if the area is 25% bigger the width, length, diagonal etc will be sqrt(1.25), i.e. 11.8% bigger.
Here we're scaling in two dimensions, so the volume and mass are also proportional to the area. If instead we were scaling in three dimensions (i.e. the pizza got thicker as it got wider and taller) then the volume and mass would be consistently proportional to L^3. So if we were thinking of bigger in terms of weight, then 25% bigger in mass (and volume) would be 7.7% bigger (cube root) in linear dimensions - width, height diagonal etc.
Another example: think about a small penguin, and an identically shaped big penguin. If the big penguin's flipper length was 2x that of the small penguin, other 1-d relationships would also scale by 2x - its beak-length, feet-length and the circumference around its belly, would also be 2x bigger than the small penguin. 2-d relationships, such as the total surface area of its skin, or the area of its feet would be 4x bigger. 3-d relationships, like the volume of its blood, mass of its heart would be 8x bigger (assuming all of the anatomy has been scaled identically!).
@@CaptainBeaglepants sqrt(25%) is 50%. I stopped reading after you said it was 11.8%
The question here is clearly “how is that possible?”. The student answered the question, and did so correctly, very simple
0:27 Marty ate 67% of his pizza. Luis ate 83% of his pizza. Marty had a larger pizza.
*WE KNOW*
I really like that this video takes this seriously - and extends the problem!
Marty had a deep dish pizza.
Luis only had a thin crust one.
You can really tell this problem was posed by an absolute genius, because the exercise was called 'reasonableness' instead of 'reasoning'. Much smart.
noun: reasonableness
1.
sound judgment; fairness.
"days which demand wise restraint and calm reasonableness"
the quality of being based on good sense.
"he critically evaluated the reasonableness of each assumption"
2.
the quality of being as much as is appropriate or fair; moderateness.
"disputes about the reasonableness of certain costs"
Next time, try picking up a book before being smug because you think you're smarter than you actually are.
@@mnmnrtYou're the one being smug by assuming that the person you're replying to meant that "reasonableness" isn't a word rather than the more likely point being made that it's a more pretentious word to use than "reasoning", which it is.
@@RWIsaac1 I think It was a right name after all. It teached the student how the the teacher is unreasonable.
@@RWIsaac1 It isn't, however. It's the correct word, and it can't be substituted by "reasoning" here. My smugness is entirely justified, I'm correct, you're wrong, and I'm more intelligent than you.
@@mnmnrt An intelligent person does not need to state that they are, in fact, intelligent.
"Lois"? Who is Lois? The name in the video is Luis, not Lois.
Apparently Presh doesn't know what sound the letter U makes.
@@carultchexcept he gets it right at least the first 2 times, maybe 3, then loses it.
Luis and Lois are TWO DIFFERENT NAMES please rerecord this, my God
The teacher is contradicting the _ENITRE PREMISE OF THE GIVEN QUESTION!_ How are people supposed to learn anything with these idiots???????
To be fair to the teacher, they're probably a bottle of wine deep while working their 4th unpaid hour of the day.
They're not. It's in the government's best interest to not think for yourself, so they actively discourage any form of critical thinking. That on top of the fact that teachers are barely paid anything, and everyone knows you get what you pay for.
@@ocstrangeness As Clint Eastwood's spaghetti-western character would say...
_"I reckon so"._
At 1:10 he called Luis the name Lois. Now lets use algebra to figure out what he may have been thinking and why he is wrong.
He was watching Family Guy while making this video
2:40 he finally pronounced it correctly.
@@jdh9419 What formula did you use to come up with that answer?
@@ducksoff7236 Peter Griffin Formula
Clearly that teacher needs to get out of education.
He sure does, especially if he also made the question as well as correcting it.
@@bhgtree My guess would be that the question came from a pre-prepared test and the "teacher" marking it was a substitute teacher.
Reminds me of a third grade reading assignment almost 60 years ago. The first question was "Who was Charlie?" Several of us answered "Charlie was a hot dog vendor." Others said "Charlie was a tall man." The teacher said the "tall man" answer was correct. I suppose some could have made the argument for the second choice, but the first choice clearly was the better option... except to the teacher (or the "Teacher's Guide" she was reading from and was too oblivious to contradict). I think she was just mailing it in until retirement in a year or so.
@@SiblingCreature That does not excuse the substitute in any way.
@Sonnell I agree. My main point here was that the problem was with the person marking the student's work rather than with the question or the person who composed the question. Edit: or rather that these were almost certainly different people.
The next time he says "Louis" I swear to god
So annoying when the name LUIS keeps getting pronounced as LOIS
“Marty ate more pizza than Luis”
Teacher: That’s not true
Me: This teacher does not believe freedom of choice and different sized pizzas exist
I also have an issue with the deliberate "trickiness" of the question. "Marty ate more" is presented as a fact in the question with the student being asked to explain WHY it is correct. The student is supposed to somehow realize that this statement is false, that the writer of the question either does not understand basic fractions or that the writer is a liar.
I have seen properly worded questions that ask a student to analyze the accuracy of a statement (ex: Marty said he had eaten more pizza than Luis. Was Marty correct? Why or why not?) This is a poorly designed question.
The correct answer is, " Since 4/6 is smaller than 5/6, the only way Marty ate more pizza than Luis is if Marty's pizza was bigger than Luis's pizza". The given was restated and the question was answered.
This teacher did the equivalent of whiting-out a question on a test and saying “I don’t have to answer that”
There's one element to heavily consider when factoring if you're getting more out of your pizza. Sure, an 18" pizza is "more" than two 12" pizzas, but you have to factor in the weight of dough used. Different shops use different measurements, but there's a possibility that two 12" pizzas use more weight in dough than one 18" pizza. Then there's also thin crust and thick crust, weight of toppings to consider, etc etc.
Food for thought =)