i love when in our childhood we would often say "you're infinity wrong" and the other would reply with more infinities and whoever said the infinity more wins the argument
He explains It fantastically but he is asking them closed questions, like "This is like that, right?" and "If you look at that you will see it is the same as that". and the answer will always be "Yes" even if they don't understand. the way to transfer these concepts like calculus is by asking an open question, like "what will happen if I do that?" and "how does that affect this?" that way you actually make them think and internalize the material at hand and not just nod their heads "Yes". In conclusion, I must say the lecture is fascinating but could be better understood if the question were thinking questions.
Exactly. I’m sure that these kids are confused but will continue to say “Yes” because they may be too ashamed to speak up. It’s better if the teacher asked them questions that require understanding and are twisted in a way that isn’t too hard but requires high order thinking.
This is a lecturer, he's not a teacher. He doesn't do any real checks for understanding. The kids are behaving and guessing what he wants to hear. I'm not saying no kids get it, but there's sure not enough data to determine that.
Thank you; yes, that's exactly what is happening. And why so many people opt out of math. For instance, even I, who knows what he is trying sum up in a short lesson was going .. but, but, you could do that with the other graph; why didn't you clear that up? I stopped listening .. which is exactly how I stopped doing math at school. Open questions would've worked so much better for me.
im in junior year of hs & i really wish teachers started calculus with such basic explanations and later step up the level. not just expecting us to already be a master at calculus.
@@Impossiblegend yeah kinda the point of taking, algebra 1, 2, trig, and precalc. It's on the student if they don't remember the content not the teacher.
@@Impossiblegend hey! sorry for the late reply but im in junior year of highschool not college..also when i wrote that comment calculus was like, freshly taught to us (without clear concepts just formulas) so it was just a huge thing for me a couple months back to be honest.
"I wish I listened to what my teacher said when I was little." "Why? What did he say?" "I don't know! I didn't listen!" (with apologies to Douglas Adams)
I think the stigma around calculus (and math) is that it's hard which prevents people from giving it a fair go. But derivatives and integrals can be ridiculously simple and don't take much math at all to introduce.
Derivatives and integrals? easy. The algebra needed to do that well and apply it? Hard. Conceptually calculus is pretty neat to understand, but applying it needs really good fundamentals in algebra, at this level
the concepts can be easy, sure. but it is more about applying this concepts. when it comes to say taking a derivative, there are tricks that you learn. but the meticulous part of calculus is learning why these rules work. the proofs of these tricks. first you start by doing the definition of the derivative, which involves limits. typically it looks something like lim h-> 0 f(x+h)-f(x) / h it is fundamental that one understands the process of doing this. not just accepting oh well its been done thousands of times no need for me to do it. this algebra right here is probably one of the hardest parts of learning calculus. The definition of the derivative explains how the power rule works for instance. but these algebraic gymnastics are just the beginning. and if one seriously cannot do them, they have no business even attempting to learn the more advanced maths.
From experience its mostly bad teachers that lead to people not learning math, I had really bad math teachers. My fucking gym teacher taught us math, not ideal for learning.
@@IrrelephantRamblings Well, my math teacher is bad at teaching math. He read the book. I repeat, He read it. Word to word of the math book. Not go to the board and use it at all. I agree that math need good teacher. Some time, a good teacher doesnt teach math. I understand trigonometry better when there was English teacher sub a math teacher back then. He also sub physics teacher and he did good. He should train more teacher to teach.
2:59 children saying "wow" at something as simple as 1/80 is a clear proof that people don't hate math. We just hate how it is normally taught... I really love this video
Math takes hard work and focus, both things people in general tend to avoid. Furthermore, it has a very low dopamine hit for every time you solve an equation or take notes on solving problems. So it's both high effort, low reward, confusing, and doesn't generally seem interesting to people (guess what, you're not always going to get those "woah" moments). So yeah, "people" DEFINITELY hate math, and will hate it no matter how it's taught.
Eh, I think it depends on what type of person you are. This might just be me, but getting a perfect division on a problem or having everything line up is actually really enjoyable, and while math isn’t my favorite subject, I can really appreciate some concepts, like Fibonacci numbers and how it relates to things in nature, or fractals. I think Vi Hart was really good at showing me how enjoyable math can be
@@aiGeis *Math takes hard work and focus, both things people in general tend to avoid.* It only takes about as much effort as any other subject on average takes. *Furthermore, it has a very low dopamine hit for every time you solve an equation or take notes on solving problems.* Citation needed. *So it's both high effort and low reward, confusing and doesn't generally seem interesting to people.* It is not interesting to people, because it is taught poorly. Citation needed for the claim that it is high effort and low reward. *So yeah, people DEFINITELY hate math, and will hate it no matter how it's taught.* Which is why there are millions of people around the world that demonstrably enjoy maths? Please, get out of here. This is nonsensical.
@@aiGeis Sounds exactly like something a person who grew up in a bad school system would say. The ammount of dopamine you get out of an activity has less to do with the activity and more with the experiences you associate it with. Also, the ammount of effort it requires depends on the ammount of practice you have done. If you decide to be curious, you can get these "Woah" moments every single day.
I Went to Fieldston and Reed College and am 60 years old. Studied physics in the Oppenheimer Lab. Had friends who went to MIT. No fifth grader anywhere could understand limits derivatives and integrals. They don't even undestand analytic algebra or geometry or Trig. My name is Luke Sacher. Prove me wrong. BULLSHIT!
UA-cam is actually what makes calculus and other subjects so much easier. When I was in high school 50+ years ago we got one explanation from one teacher. If you blinked it was too bad. With UA-cam students have basically an infinite number of explanations that can be repeated an infinite number times. Plus the graphics are infinitely better than ever. All for free. What's really amazing is that people basically in my generation were able to put men on the moon without these conveniences. Obviously some teachers were able to get the point across with much fewer resources.
Is this realllllly at a fifth grade level? All he’s doing is teaching it more simply but this isn’t how I remember my elementary school teachers teaching. This feels like a college lecture but using simple concepts
I agree, but I think it sort of works, perhaps since the kids are being treated more maturely, they feel more interested and not just like they are being fed stuff?
Well, i’m not sure, but i’m in 8th grade and i got it. I’ve never tried to learn calculus before though so i’m not sure if it’d be different another way.
... exactly?? He said "at a 5th-grade level", not "using 5th-grade methods". Lectures will never be the most effective way for most people to learn, but that's not the hurdle he's overcoming. He's simply showing that "complicated" math can be effectively explained to young people.
I'm glad that I found this video because I'm currently learning calculus. Algebraically, I understand completely, but conceptually, I have some issues. I think he did a great job of simplifying the information and making it digestible. However, I doubt those kids were into it like I was. As an aspiring teacher, my brain was clawing at him to ask them about what they thought or answer some of the kids' hands that were raised. For what it's worth, I think this would have been better performed if he was teaching a freshman college class or some students who were taking AP calculus for the first time. And instead of surveying if 5th graders could understand it, survey how students understand it by the way you explain it compared to other methods.
You cannot understand it algebraically and not get the concept. If so you memorized things for homeworks and dont get what you are doing. Also this is calculus, very little algebra involved
I think the problem with teaching mathematics is we haven't provided problems where students would value the insight they are being given. The number of zoned-out faces in that classroom took me back to my own elementary years. We need better application of our teaching methods as the underlying methods and theory are fairly solid but getting someone to have an epiphany moment is difficult. It's all about helping someone make that connection between theory and application. Once you get one kid who catches on, applaud their efforts and encourage others to follow suit.
Shooting Star I think he means that he’s be lost if someone even threw the word concept at him as a fifth grader and expected you to know what he meant..... tbh I would probably be confused too
@@effemeseyevee901 As a preschooler who cancer was explained to, (and proceeded to get that UV light from sun = instant death) and not too far above 5th grader, i can confirm that even if they understood most things at the time, they will butcher most of it.
@@JJPMaster That guy dedicated a lot of time into Khan Academy so I respect it, but there's more to life than math. Even though I major in computer science and that kind of logic..some things aren't as good as turning your brain off and having some fun sometimes.
It's a fascinating venture to see how far a topic can be condensed and simplified without giving up much of the concept. I wonder what the minimum requirements are for learning each and all the different levels of calc, and what would their lectures look like? I believe we underestimate children's math capabilities and they can probably learn these ideas a lot earlier than we think they can
The key to getting students to understand difficult concepts. Ignore all students with hands in the air. Encourage the rest to chant, "YES" to any question asked.
William White sooo what your saying is, the key to getting students to understand difficult concepts. Ignore all students with their hands in the air, and encourage the rest to chant, “YES” to any question asked?
So ashamed of ending up here as a 21 year old college student that I mistook "Fifth Grade" for "Filth Grade". I thought it was degrading and that I deserved it. Not gonna lie tho, realizing the title actually said "Fifth Grade" instead hurt more. Anyway thank you for your service. I wish I had a teacher like you. I bet that wasn't even in the syllabus but you took the time and effort anyway. The world needs more caring teachers like you. Bless you
To everyone saying he didn’t answers their questions, there were cuts in the video, so he probably edited out the question so later in life these kids wouldn’t get made fun of or something. A teacher as same as this guy would not ignore his students. Questions are crucial to understanding math or any subject for that matter.
@@darylburnet8328 well... Welcome to college. Some professors just want to end the class asap. Although i think this vid is edited. Just like what the other comment have said.
@Alan Poeta Maybe you were a wiz kid way above the grade Or you were a dumbass who wasn't paying attention Idk Bro but WHAT I KNOW IS: You definitely missed out on those WOAHs back then
I worked building boats for 22 years. One day the boss showed me how to calculate the weight of a lead keel. Compound curves in three dimensions! I made the mold, and we poured the lead. When the casting was cleaned up we weighed it and it was within five pounds! Total weight 3600 pounds! It was totally amazing! If you learn anything, calculus is a super starting point! Great video!
I am a college graduate and there is no way this fifth grade class kept up with this. I’m also a teacher and telling a student how to do something instead of letting them think about it won’t help them at all
Cool! I'll be waiting for: 1. Euler equation 2. Radial integration 3. Partial Integration 4. Double and triple integration 5. Partial Derivative 6. Second order integration 7. Laplace equation Especially for the fifth grade, maybe it would help me to understand all those concept better
As someone with teaching experience, this lesson started out really well, but did a poor job past maybe the 7:00 mark- kids, especially young kids, don't learn by being talked at. Because this lesson wasn't scaffolded, and essentially took the form of a college lecture, I can guarantee that none of these kids digested the ideas or remembered the content.
It's not just kids. I'm a full ass adult and I don't learn anything by being talked at. I've always been a visual and active learner. If I don't do it and see it and understand it, I'll always fail. You can talk to me all you want--it won't process. Unfortunately, I didn't really figure this out about myself until really late.
Completely agree. I can remember exactly how I leaned concepts in the 5th grade, and he would have lost me marching through his coins in the triangle lecture. From then on, I would have been the quiet kid who tried not to get called on. The teacher who broke through to me was one who started at the end, drawing pictorial examples of problems that people try to solve in the real world, offering no mathematical terminology. She carried on conversations with us and she even sat down in the middle of the class, facing the front like everyone else, and scratched her head while looking at the drawings. She lowered her voice to a "just loud enough to hear" volume and asked students around her to help her figure it out. Absolutely every suggestion was honored, while she gently coaxed out the right questions. Then, Eureka - "What if we try this! Would that work?" And so on until the lights came on. She made sure there was no student left behind, and would stay after class to help. She built the scaffold by showing it built first, sort of, then she tore it down piece by piece, and by the end of the semester we could all rebuild it ourselves. This was not 5th grade, it was a college pre-calculus prep class. She was a full professor in the mathematics department, and this was her experimental class called "Upside-down Calculus" I think (it's been years). I remember the students in the class raving about her after classes and actually being excited about understanding the subject for once in their lives, which I had never experienced up to that point.
@@RetNemmoc555 That makes me really depressed, actually. It's insane to me how archaic our education system is. You'd think we would have figured it out by now with how much we brag about being this advanced human society--but we can't even change our ineffective ways of teaching. I'm so happy you found one teacher who was able to do that--they all need to be trained that teaching requires diverse ways of approaching humans, not just following a curriculum.
Watching this video with a full understanding of calculus makes me appreciate the way he’s teaching a lot. The explanation of integrals is honestly insane.
This is a really fantastic explanation, and perfect as a 20 minute direct instruction, but as a teacher -- DAMN look at these kids DeSpErAtE to contribute! If you had taught this over a week, and asked probing questions, and let kids explore these concepts with structured activities, they truly could do calculus in a week.
Exactly! There are a few cases in Japan of extremely young kids being taught calculus (younger than in this video) and they actually can do it. Kids can easily learn this type of stuff if its taught right over enough time.
Idk what calculus you’re talking about, considering calculus needs like a couple years of prior knowledge with things like Algebra, Geometry, Trigonometry, etc.
@@adamd4702 You can comprehend the usefulness of abstracting a curve into straight lines by dividing the line into infinitely many units, and you can do the math for it, with knowledge of basic algebra and a lesson on nomenclature.
It's amazing how much a fifth grade kid understands - unfortunately, the idiots running the school system dumb down everything for kids, thinking that they are too stupid to understand the real thing while they're young and bright. Then they try teaching the stuff that little kids can understand if properly explained to them, and try to cram it into heads that are full of music, girlfriends/boyfriends, hockey (I'm in Canada), basketball, or - heaven forbid - pot and fentanyl. And they wonder why "people don't understand math."
I’m currently taking Ap calculus and while the explanation was okay, the terms he was using would go over the heads of the average 9th grader. He used the term “point” and the idea of finding a slope of a curved line are not covered until around Geometry (which most people take in 10th grade). Me in 7th grade (I’m advanced I took Algebra in 7th) would have had most of these concepts going over my head.
Huh. All these 5th grader are now all around 17 years old now, which means that, if their school teaches Calculus, THIS is the time that this knowledge would become useful to them again! I wonder if any of these guys are here now reviewing this material. Cool to think about.
Lunar Dragon hey it was a joke bro, I never said I didn’t understand nor am I trying to put them down. I just thought of something funny and commented it... and it seems to me I’m not the only one who thinks it’s funny
What's blowing my mind is I was literally a 5th grader when this video came out and here I am 6 years later, took AP Calculus AB (took the exam as well) and watched this video. I only started on the basics of calculus, but even I can tell the concepts are very well explained. I think I will watch this video again so I get a refresher before starting Calc BC.
I really don't think these kids are getting it. I hadn't even seen an xy axis until maybe 7th grade. Seems like first you would have to explain what an xy axis is.
Because concepts are always fun to learn on the surface level. The problem most people have is when they have to work on problems that test their understanding of the concept.
He's a guest speaker with limited time. Not a full time teacher with months to cover it. If this were officially implemented in the curriculum, teachers could take their time, and answer all of the questions.
Exceptionally well explained!! I guess me and my fellow friends are lucky.. cuz we were taught calculus the same way like this when we got into high school (2nd year onwards ) as our teacher really thinks that every new and vivid concept should be explained like it can be understood by a kid ( typical 5th-6th grader ) and I absolutely love it... And the same way was done here !!!
It’s really good, but a lot of it is just *telling* them rather than relying on their intuition. It’s so close to being a good lesson. Wish he gave them a chance to really think about instead of thinking for them.
I agree that the point you have made about the teachers interaction is valid - that there is number of occasions when the teacher simply checks to see if the students are in agreement. Does he know how much learning has happened or engage the students in more of the ‘discovery’ of the ideas. Mind you this lesson introduces at least 4 major calculus principles and the fifth graders seem engaged. My instinct is that this is likely to be a sample of the class rather than the full class...
another comment was made that probably video was edited to remove the question/doubt parts to make a compact presentation Let's face it, it IS a lot to unpack.... no matter how simple the words used
I think this is a great idea, but should have been tested with 7th or 8th graders, because they have a better understanding of algebra and geometry. That way you can really gauge the effectiveness of this idea.
Kids learn certain things easier and quicker than adults. For example, kids absorb foreign languages better. It is easy to forget this and think because it is hard for adults, it then must be hard for kids. When it comes to calculus this is farthest from the truth. Kids have an easier time learning calculus than college students, when it is taught with that audience in mind. eg, my father was a 2nd grade calculus teacher for a while. It is a thing. If anyone wants to learn calculus but has struggled in the past, or doesn't care for other forms of math much, checkout the book Burn Math Class by Jason Wilkes.
I can't believe he stopped making youtube videos right after this one. It really makes you think were he could have been, and where he now is. Maybe he's a successful teacher, or maybe something related to that. There was a chance he could have lived off of making these types of UA-cam videos. The disappearance seems mysterious and confusing, but it's also rather fascinating.
Im 15 and I’ve never studied it before, at least not outside of my regular math class when it was part of a different chapter. But I actually found this really interesting and easy to understand
This lesson is greater than children. This is lesson is for much older adults. I hope that the teacher will find from image of tired kids. Don't damage the brain of the kids for what is not suitable for time. Thank you
@@hamburger9677 there are other ways to check for understanding than verbal agreement. He could’ve made a short worksheet to increase participation and attention. The lesson was structured poorly anyway.
@@meganc8714 to be fair, we didn't see his entire time in the classroom. Since he was a guest speaker he probably had at least an hour, and this was about 20 minutes of footage
Areshy this is why I like my math teacher he makes us explain the concepts when he asks us if we understand I have to explain the entirety of algebra 1 to this man while he spit this knowledge at me a minute or two before hand
"Students will learn algebra with practice." Dude, when I hit calc, none of the professors used visuals. It was all equations and algebra. The problem is, I was taught math by high school teachers, and now I was being taught by mathematicians. If you showed up to class and didn't already know how to do what ever they taught that day. You would be helplessly lost.
The issue is how schools manage the pace of these concepts. They take their sweet time teaching you algebra and geometry and concepts you should have a grasp on since middle school, then goes full throttle once the you get to foreign concepts like calculus.
I have to admit, I'm torn. I think the idea of trying to inspire fifth graders by reaching out, as you have, is wonderful. Trying to imbue them with the grasp of concepts so that they might be as fascinated or comfortable with advanced math is laudable. What made me cringe is the pedagogical process. Minimal checking for understanding, 100% lecture, nothing Socratic, and for much of the lecture a virtual wall between your students and you. It brought back memories of my days as a student in math class when the "sage on the stage" recited information without reading the room. Subsequently, as a teacher, I discovered the art of teaching is not in the content as much as it is in the connection. It's a rare person that can be both the source of knowledge and the oracle of communication. The reviews at the end are the kindnesses of children raised to be courteous and at a stage of development where charity still resides. The true test of efficacy would be to have a child teach you the concepts you explained to them. For them to reword your presentation. To move from regurgitation to application and eventually to synthesis. That last one is where the spark will bring them the joy of knowledge. Synthesis - where they can apply your lesson to new questions or unlocked puzzles.
I think you say it best here. So i am only adding words for the comment algorithm to show your comment to more people. I know 5th graders can understand this kinda stuff, As i did in fifth grade. But i didn't learn shit from a lecture, I learned it from self-study, That i only performed in order to answer completely unrelated to school questions my peers would ask me. (...or to win bets... Look i was a poor kid and school lunch costed me money, ok?) I think the principles being taught are solid, but the methods are... Less than optimal.
Kids in other countries learn calc at much younger ages than we do. Is this because they are smarter? Do they have some innate ability to understand better? Or maybe we just need better ways of teaching them
Hi future teacher here. And I'm really interested by your.... philosophy(?), or views(?), on teaching. Was wondering if you had any resources you'd recommend to future teachers.
@@aaaaaaxaaaaaa I would argue that simply using the measure of "... earlier is better..." is a fallacy. Certainly pacing and intensity can be explored and improved upon but there are other aspects of teaching content beyond just the timing of delivery. Cultural aspects that impede or encourage learning, heritable aspects of intelligence, resources to support learning like infrastructure, materials, and teachers, a review of Maslow's hierarchy, etc. all influence a child's ability to learn. Frankly we also have to wrestle with the crowded curriculum issue, not to mention that aspects of learning and development we've chosen to ignore (like the importance of free play/recess for children). Most adults don't use a majority of learned content in school in their daily lives. But everyone uses the skills of learning. Teaching content is important only if you teach kids to learn and think. I also think we have to recognize that schools around the world are used for different purposes. Political and social indoctrination, creating industrial human resources, cultural entrenchment, etc. all play a part in what kids learn and when. Here in the US we see social and emotional learning initiatives that crowd out other initiatives. Social engineering and indoctrination, guided by politicians, not educators, wreck havoc on each generation of learners. New teachers being brought into the profession to think they are to be advocates for agendas rather than guides on a journey of learning. We find collegiate majors that have no true opportunity to find employment thanks to useless degrees (this is where we discuss university funding schemes and recruitment). The timing of teaching calculus is just a one of a thousand issues facing education in the 21st century.
As a high school teacher I don't even know where to begin with this. This is easily about 5 lessons in one. He is talking about several concepts I am sure they don't understand. They should also have something to write on and work out while he do this. Looking at slope alone would take an hour. What is a function? Why do we use calculus? How does it relate to real life? He started to allude to it at the end but didn't really go anywhere with it.
Seriously. You have to take frequent breaks and regroup. Pedagogy is very underutilized. Like I’m glad I get to watch this lecture because I’m an adult. Using simple concepts to explain works for me because I can make the inferences between the topics in my head, and don’t need as much time to process. But kids don’t have that base built up, and so they need more processing time. If any child in that room was capable of following for the whole lecture, I’d be amazed. Just because kids know when to say “yes” when prompted doesn’t mean they’re following.
it makes sense to me that he is a college student, it is basically how math is taught to math major( I am a math major) it works for us because we have a certain amount of mathematical maturity, but it am sure that it doesn't work for children. people don't remember how they learned math as children. it is not by manipulating abstract concepts, it is through practice and time.
He has limited time to cover this topic, since he is a guest teacher. It would be a waste of time to answer the questions DURING the lesso. He more than likely answered them after kr Smith.
Why assume the kids are too dull to understand? Much of our instruction back-in-the-day was the furthest thing from "interactive" - yet - our generation learned. And learned well enough to make most of the modern scientific advances enjoyed today. Kids should have more expected of them.
I kind of wish that they taught (single variable) calculus back in middle school to be honest. It really isn't that hard of a subject. Introduce these kids to basic derivatives and integrals, then maybe in highschool apply it to things like volumes and series. Especially since, without calculus, you would learn the BARE MINIMUM in other subjects like physics.
I agree! The basics of calc aren't difficult at all, and if anything they helped me develop a better grasp of algebra. I managed to get a middle schooler to understand what a limit is once, and it was really cool to see them start noticing things they always took for granted in math.
Meanwhile there’s people complain about the school system and whine “when will we use calculus???”😑 I do agree that calf should be taught more earlier than junior/senior year of high school
Coming from a physics class- Trig and Calculus are mentioned every, single, day. We don't actually do it, as eighth graders, even the smart ones, get confused by it. Learn a still significant amount of physics and the principles of it, but the consensus we have is if you care, you'll end up learning calculus and trig, and doing the AP Physics class. Bare minimum, but it is useful.
I’m taking a pre-calc equivalent in Australia called Mathematical Methods, and it’s really hard. I think I crammed for Algebra 1, Algebra 2, and Geometry in just one semester or so(?). I question my sanity in choosing this level when I’m only a sophomore, but the next easiest level doesn’t teach any of this. We started with linear and quadratics, then hyperbola, truncus, square root, circles, semicircles, cubics, quartics and what functions were in about 7 weeks. An example of the function notation I learned is: [2, 3) → ♾️, f(x)=x^2+4x+4 Probability, which was a lot on ‘binomial distribution’ and ‘hypergeometric distribution’. From learning about what event is most likely and least likely to learning about discrete random variables. Needless to say, after quadratics I scored in the 60-70% range. Then, we learned what radians were for the first time and on the fourth week we ended in drawing tan graphs. Australian math is crazy. 😅
Most students in high school struggle to do basic algebra. It's the sad truth. The hardest thing about calculus literally is the algebra. This is coming from a calc 2 student. They need to focus more on algebra in middle and in highschool.
I’m still in high school and don’t know anything about what the best way to teach is but I guarantee a lot of these students went home not understanding a single thing
IDK if this is kinda normal to most, but in my country basic algebra begins in 6th grade, even integers (approxinately) lol. So seeing them doing Calculus which is our topic in 4th year highschool is kinda...idk odd or wierd.
True, but the point of this whole thing is to introduce the concept early, so it’s not as confusing in high school. The teacher knows that most of them aren’t going to remember, I mean who remembers anything from fifth grade? But later the topics reoccur and you start to actually remember. They’re going to get into high school and remember back to this lesson, and it’s not going to be AS hard because it’s not something completely new.
Anakin Skywalker I noticed that he completely ignored the kid in the front row with his hand up, then the kid gave up and put his hand down. Sad. Makes me think either this teacher never answers questions or else this is staged (and based on the gasps at 1/80, I’m leaning heavily toward staged).
I have been insisting for years that the key concepts behind calculus and algebra aren't actually that hard; it's just that we teach them poorly. Kids are doing 3+?=5 from first grade with no problem, but once they hit algebra they're given 3+x=5 and they're so convinced that this is some entirely new type of math from what they're used to that half of them need to be coached through it the first few times. If we just started introducing these concepts earlier without conflating them into something unfamiliar to the students, their level of understanding would go through the roof.
Reuben French I teach algebra, and that's what I always tell the kids. Don't think of it as "algebra" or "factoring," because it's all just adding, subtracting, multiplying, and diving. When you solve 6x-8=10, all you're doing is adding 10+8 and then diving 18÷6. If you can do basic math, you've already mastered 90% of algebra. Same with calculus.
Tip: dont question it just go trough with the subject and it will make sense in the end. You only need to learn the rules. Totally didnt make sense. But its still working for me and my friends xD
I guess, I never really thought of infinity as a concept rather than a number even though I got close to it. This cleared up the concept differentiation really well . I hope you the best .
This is just a problem with the education system of today. The reason some people fail at some topics is because of how they teach it. Instead of focusing on mastery, they focus on efficiency. They don't care if students don't understand it. We are just learning to pass a test, not learning to master our subjects.
This is true overall, but i have had some teachers who intentionaly break that mold, and interestingly enugh they are always my favorite teachers and i tend to know their subjects the best, COINCIDENCE..... I THINK NOT
It's bigger then how your picturing it and way more complicated. Our education system sorts people for very broad categories but for very specific reasons.
Costco Pizza if you want to learn you just need to studying. The teacher is not you. If you don't read/study you'll never been learn even if you have a best teacher in the world
Jeff erson if the students have to study on their own, then the teacher is doing something wrong because they’re spending extra time studying a topic when the teacher could have explained and engaged the students in class, rather than force them to study on their own at home/on their own time. The objective is teach students, but if you don’t teach for mastery and instead opt for efficiency, you force them to backtrack and fix their mistakes when it would have been easier for them to be taught mastery of the subject from the get-go and not waste precious time relearning.
When he said calculus at a 5th grade level I didn’t expect him to be in a 5th grade classroom
@@donquixoterosinante7899 haha... that refrence was SO funny. LMAO!!!
@@donquixoterosinante7899 r/cursedcomments
IKR
@@donquixoterosinante7899 even more so in the classroom
Facts
i love when in our childhood we would often say "you're infinity wrong" and the other would reply with more infinities and whoever said the infinity more wins the argument
You couldn’t have had a better username
well you are infinity + 1 correct
Then you learn about ordinals
@@anithanansen4578 well your infinity + 2 wrong
@@DommyMommysftw you are infnity + infinity wrong
He explains It fantastically but he is asking them closed questions, like "This is like that, right?" and "If you look at that you will see it is the same as that". and the answer will always be "Yes" even if they don't understand. the way to transfer these concepts like calculus is by asking an open question, like "what will happen if I do that?" and "how does that affect this?"
that way you actually make them think and internalize the material at hand and not just nod their heads "Yes".
In conclusion, I must say the lecture is fascinating but could be better understood if the question were thinking questions.
Exactly. I’m sure that these kids are confused but will continue to say “Yes” because they may be too ashamed to speak up. It’s better if the teacher asked them questions that require understanding and are twisted in a way that isn’t too hard but requires high order thinking.
Because this a pony show. It's complete bullshit.
This is a lecturer, he's not a teacher. He doesn't do any real checks for understanding. The kids are behaving and guessing what he wants to hear. I'm not saying no kids get it, but there's sure not enough data to determine that.
Thank you; yes, that's exactly what is happening. And why so many people opt out of math. For instance, even I, who knows what he is trying sum up in a short lesson was going .. but, but, you could do that with the other graph; why didn't you clear that up? I stopped listening .. which is exactly how I stopped doing math at school. Open questions would've worked so much better for me.
@@ifeawe Agreed. And writing on chalk board is old fashioned and time consuming.
im in junior year of hs & i really wish teachers started calculus with such basic explanations and later step up the level. not just expecting us to already be a master at calculus.
I understand the sentiment but unless you were doing a pre-uni-level course you're expected to know high school concepts even in calc 1.
@@Impossiblegend yeah kinda the point of taking, algebra 1, 2, trig, and precalc. It's on the student if they don't remember the content not the teacher.
What's up with grade 5 learning calculus already???? Wtf??? I'm grd 12 and I am struggling with it
@@Impossiblegend hey! sorry for the late reply but im in junior year of highschool not college..also when i wrote that comment calculus was like, freshly taught to us (without clear concepts just formulas) so it was just a huge thing for me a couple months back to be honest.
@@matttheradartechnician4308 yeah agreed
Their reaction to the 1/80 circle is amazing, I hope they’re doing well
That was amazing
Yo I bet they all DEAD
Imagine their little brains just melting away
@@sergiopm9093 Make sure not to cut yourself on that edge, bud
@@sergiopm9093 Bet
they are smarter than you.
They're all successful highest ranking NASA scientists with individual Nobel Prizes apparently.
me: misses one day of fifth grade
my classmates: oh yeah while you were gone we learned the essential concepts of calculus
Lachimolala Carbonara yooooo 😭💀
TwT
It always feel like when I'm in class I just do repeated stuff and when I'm away everyone learns how to calculate how many braincells a person has
DoaA
lel
"I wish I listened to what my teacher said when I was little."
"Why? What did he say?"
"I don't know! I didn't listen!"
(with apologies to Douglas Adams)
*Fun fact: The calculus textbook can be used as a bulletproof tool.*
@Xi Xu it would make more sense if he was learning physics as it teaches force etc
@Xi Xu which youtuber
@Xi Xu I'm pretty sure this was supposed to be a joke and not to be taken literally.
But IDK.
@@alexy2952 and guess what... physics uses calculus...
No wonder I didn’t die when I tried to shoot myself through it.
I think the stigma around calculus (and math) is that it's hard which prevents people from giving it a fair go. But derivatives and integrals can be ridiculously simple and don't take much math at all to introduce.
Exactly!
Derivatives and integrals? easy. The algebra needed to do that well and apply it? Hard. Conceptually calculus is pretty neat to understand, but applying it needs really good fundamentals in algebra, at this level
the concepts can be easy, sure. but it is more about applying this concepts. when it comes to say taking a derivative, there are tricks that you learn. but the meticulous part of calculus is learning why these rules work. the proofs of these tricks. first you start by doing the definition of the derivative, which involves limits.
typically it looks something like
lim h-> 0 f(x+h)-f(x) / h
it is fundamental that one understands the process of doing this. not just accepting oh well its been done thousands of times no need for me to do it. this algebra right here is probably one of the hardest parts of learning calculus. The definition of the derivative explains how the power rule works for instance. but these algebraic gymnastics are just the beginning. and if one seriously cannot do them, they have no business even attempting to learn the more advanced maths.
From experience its mostly bad teachers that lead to people not learning math, I had really bad math teachers. My fucking gym teacher taught us math, not ideal for learning.
@@IrrelephantRamblings Well, my math teacher is bad at teaching math. He read the book. I repeat,
He read it.
Word to word of the math book. Not go to the board and use it at all.
I agree that math need good teacher. Some time, a good teacher doesnt teach math. I understand trigonometry better when there was English teacher sub a math teacher back then. He also sub physics teacher and he did good. He should train more teacher to teach.
2:59 children saying "wow" at something as simple as 1/80 is a clear proof that people don't hate math. We just hate how it is normally taught... I really love this video
Ditto
Math takes hard work and focus, both things people in general tend to avoid. Furthermore, it has a very low dopamine hit for every time you solve an equation or take notes on solving problems. So it's both high effort, low reward, confusing, and doesn't generally seem interesting to people (guess what, you're not always going to get those "woah" moments).
So yeah, "people" DEFINITELY hate math, and will hate it no matter how it's taught.
Eh, I think it depends on what type of person you are. This might just be me, but getting a perfect division on a problem or having everything line up is actually really enjoyable, and while math isn’t my favorite subject, I can really appreciate some concepts, like Fibonacci numbers and how it relates to things in nature, or fractals. I think Vi Hart was really good at showing me how enjoyable math can be
@@aiGeis *Math takes hard work and focus, both things people in general tend to avoid.*
It only takes about as much effort as any other subject on average takes.
*Furthermore, it has a very low dopamine hit for every time you solve an equation or take notes on solving problems.*
Citation needed.
*So it's both high effort and low reward, confusing and doesn't generally seem interesting to people.*
It is not interesting to people, because it is taught poorly. Citation needed for the claim that it is high effort and low reward.
*So yeah, people DEFINITELY hate math, and will hate it no matter how it's taught.*
Which is why there are millions of people around the world that demonstrably enjoy maths? Please, get out of here. This is nonsensical.
@@aiGeis Sounds exactly like something a person who grew up in a bad school system would say. The ammount of dopamine you get out of an activity has less to do with the activity and more with the experiences you associate it with. Also, the ammount of effort it requires depends on the ammount of practice you have done. If you decide to be curious, you can get these "Woah" moments every single day.
Imagine an 11th grader going into pre calc and saying “yeah we learnt this stuff in 5th grade”
Nothing that’s in pre calculus is in calculus
Weird because pre calculus has nothing to do with cal
@@ReversePrimeOFFICIAL Really! Thank God!
@@elizabethmendez357 not really, you need trig identities and stuff to calculate integrals or stuff
I Went to Fieldston and Reed College and am 60 years old. Studied physics in the Oppenheimer Lab. Had friends who went to MIT. No fifth grader anywhere could understand limits derivatives and integrals. They don't even undestand analytic algebra or geometry or Trig. My name is Luke Sacher. Prove me wrong. BULLSHIT!
All I learned from calculus is that my brain has approached its limit.
Underrated comment. Ahead of ur time
Not really, the leaning curve is just not linear. TRVE math is always hard to grasp.
Don't worry! Your brain is getting to zero but not zero!
But it will never reach said number, so technically math teachers can continue cramming info into your brain...
Thall For Life then do a liberal arts degree
UA-cam is actually what makes calculus and other subjects so much easier. When I was in high school 50+ years ago we got one explanation from one teacher. If you blinked it was too bad. With UA-cam students have basically an infinite number of explanations that can be repeated an infinite number times. Plus the graphics are infinitely better than ever. All for free. What's really amazing is that people basically in my generation were able to put men on the moon without these conveniences. Obviously some teachers were able to get the point across with much fewer resources.
Professor at college: "so you know calculus?"
Those kids: "yeah, we did that in fifth grade"
This isn't enough to "know" calculus
@@kenya8460 I'm pretty sure he knows lmao, he's not teaching them derivatives or something
@@kenya8460 it was a joke
@@kenya8460 r/wooooooooosh
LMAO
Is this realllllly at a fifth grade level? All he’s doing is teaching it more simply but this isn’t how I remember my elementary school teachers teaching. This feels like a college lecture but using simple concepts
I agree, but I think it sort of works, perhaps since the kids are being treated more maturely, they feel more interested and not just like they are being fed stuff?
Well, i’m not sure, but i’m in 8th grade and i got it. I’ve never tried to learn calculus before though so i’m not sure if it’d be different another way.
It's not a 5th grade level
... exactly?? He said "at a 5th-grade level", not "using 5th-grade methods". Lectures will never be the most effective way for most people to learn, but that's not the hurdle he's overcoming. He's simply showing that "complicated" math can be effectively explained to young people.
Well as Einstein said if you can’t explain it simply u don’t understand it well enough
Explained very well. Understood by one over infinity of the fifth graders.
💀
This deserves more likes
~aka aproaching zero of fifth graders
@@Free95175 Would you rather he said lim x→∞ 1/x = 0 fifth graders?
@@Free95175 Bro if you don't shut up
I'm glad that I found this video because I'm currently learning calculus. Algebraically, I understand completely, but conceptually, I have some issues. I think he did a great job of simplifying the information and making it digestible. However, I doubt those kids were into it like I was. As an aspiring teacher, my brain was clawing at him to ask them about what they thought or answer some of the kids' hands that were raised. For what it's worth, I think this would have been better performed if he was teaching a freshman college class or some students who were taking AP calculus for the first time. And instead of surveying if 5th graders could understand it, survey how students understand it by the way you explain it compared to other methods.
Be glad ur not my bum ass who founded this video less than a week after my ap calc exam 😂😂
You cannot understand it algebraically and not get the concept. If so you memorized things for homeworks and dont get what you are doing. Also this is calculus, very little algebra involved
@@TheAcidicMolotov "Very little algebra involved"
Very little in college standards = A lot in in high school
The minute he said "Infinity is a concept" you could practically hear the students clocking out
But they don’t have clocks on their hands though
r/wooooshhh
biggest whooooshhh known to man
Pretty sure he is joking, too.
I mean, he'd better be joking otherwise the entire reddit will laugh at him
@@HypedGmng_ this has to be a joke too lol
i think youre the one being whooshed
He lost these kids the second he second he said “infinity is a concept.” This is a simplified college lecture
No not really, I think my little brother (who has -3IQ) would understand this
@@realbignoob1886 😐
Remember numbers are infinite. For example, even numbers, counting numbers, etc
.
This taught in highschool. AMERICAN high school nonetheless
@@realbignoob1886 Dude shut up, we already know that you and your brother have the IQ of -3, it’s obvious, stop spamming that you are stupid.
The kids freak out over things that you wouldn't even think of exciting like 1/80, but then have no reaction to 1/∞
Because they don't understand over half of the things said in this video.
@@isaacbanks6371 I think he realizes that but is simply pointing out the limited frame of reference and finding novelty within that
They freaked out by the cool looking circle
But in infinity there were no circle
They only need visual representation to get excited
No they were surprised that one of the kids guessed that it would be 1/80 right before he showed it lmao
Because they can't imagine infinity
probably
I think the problem with teaching mathematics is we haven't provided problems where students would value the insight they are being given.
The number of zoned-out faces in that classroom took me back to my own elementary years.
We need better application of our teaching methods as the underlying methods and theory are fairly solid but getting someone to have an epiphany moment is difficult.
It's all about helping someone make that connection between theory and application. Once you get one kid who catches on, applaud their efforts and encourage others to follow suit.
Infinity is not a number, it is a concept.
Honestly if I heard that in 5th grade I'd be lost right away.
we learned about it in like... 4th grade.
Thailand advanced prep school for “prodigies” is currently teaching 2-3 year olds calculus...So imagine being their age and learning that
@@huh4801 that sounds sooo fake. I'd don't know why
I learned this, when I learned about it.
Shooting Star I think he means that he’s be lost if someone even threw the word concept at him as a fifth grader and expected you to know what he meant..... tbh I would probably be confused too
i can imagine these kids telling the younger kids about this and completely butchering all he's taught them
i hope not lol
@@effemeseyevee901 As a preschooler who cancer was explained to, (and proceeded to get that UV light from sun = instant death) and not too far above 5th grader, i can confirm that even if they understood most things at the time, they will butcher most of it.
NO WAY I SAW U ON THE SHITTY DEMON LIST!!!!!
@@chunkyfingersgd1720 ayyyyyyyy prismatic haze is fun
@@gdadhd4775 yeah! i beat prismatic haze and thats how i found you. im Shyster on the demon list :)
Great, now the people on “are you smarter than a 5th grader” have to worry about calculus now...
Miguel Flores this isn’t true cal, if anything, it’s pre algebra.
@@alanconde1974 limits, Riemann sum and the slope thing could be expanded into gradient vectors, i would say that makes it calculus
Teach calculus to kids? You’re fucking insane lmao. Let them have somewhat of a childhood
school pizza say that to sal khan
@@JJPMaster That guy dedicated a lot of time into Khan Academy so I respect it, but there's more to life than math. Even though I major in computer science and that kind of logic..some things aren't as good as turning your brain off and having some fun sometimes.
It's a fascinating venture to see how far a topic can be condensed and simplified without giving up much of the concept. I wonder what the minimum requirements are for learning each and all the different levels of calc, and what would their lectures look like? I believe we underestimate children's math capabilities and they can probably learn these ideas a lot earlier than we think they can
"Infinity isn't a number." Two seconds later, "Infinity is the largest number."
Hey guys I was just kidding, no hate to this guy at all...
Loll
Yep
he said that’s what you might hear
Infinity is a concept. The concept of infinity is that it is the largest possible number.
Dwight K. Schrute that’s not the concept.
“so that’s how you use a taylor polynomial to approximate the number of light particles oscillating from t=0 to t=7. do we all understand?”
“YES”
"so that's how you multiply numbers.understand"
"Um no not really"
Quantum of #Soulless?
:-(
The key to getting students to understand difficult concepts. Ignore all students with hands in the air. Encourage the rest to chant, "YES" to any question asked.
William White sooo what your saying is, the key to getting students to understand difficult concepts. Ignore all students with their hands in the air, and encourage the rest to chant, “YES” to any question asked?
@@storyofbo He's being sarcastic.
@Nexus sooo what you're saying is, he's being sarcastic?
Kenny omg Kenny you’re alive
@@canadianguy8661 :O
So ashamed of ending up here as a 21 year old college student that I mistook "Fifth Grade" for "Filth Grade". I thought it was degrading and that I deserved it. Not gonna lie tho, realizing the title actually said "Fifth Grade" instead hurt more.
Anyway thank you for your service. I wish I had a teacher like you. I bet that wasn't even in the syllabus but you took the time and effort anyway. The world needs more caring teachers like you. Bless you
When the only thing that’s impressive to the class is 1/80
Bacon z i see a fairy tail fan
suck
It's so relatable, Aizawa-sensei
Timestamp?
Eraser head
Do you agree? Yes.
Do you agree? Yes.
Do you have any idea what I'm talking about? No.
Wrong answer...
@@cohenmleziva4615 I agree
Yes.
y e s
Yes
To everyone saying he didn’t answers their questions, there were cuts in the video, so he probably edited out the question so later in life these kids wouldn’t get made fun of or something. A teacher as same as this guy would not ignore his students. Questions are crucial to understanding math or any subject for that matter.
River Rockholt maybe
he probably cut out the parts that made him look like a bad teacher
Uh, you can see where the edits are, and he ignored the questions.
@@chaosordeal294 perhaps he answered them when he was done with the lesson and recording. We can’t assume the worst in people, that’s miserable.
@@SerenityScratch when dealing with people, the best can happen, but you'd better be a little ready for the worst...
i've had this saved for the longest time and now i can watch this as a junior in highschool. god bless you
“So, what’d you learn in school today?”
“Calculus.”
Why did this make me laugh my ass off
For what
@mike hawk he’s very sorry that your ass fell off
IceWolf Productions 😂😂
@@quantum_psi you read it in your head like a 5th grader nonchalantly telling their parent how their day was
Video: calculus at a fifth grade level
Me an eleventh grader: interesting
Lol me a fifth grader: i wanna see if i’m on grade level
Im just gearing up for next semester cos i know the actual lectures are gonna be a shitstorm to try to understand
Imma be in calculus in 9th grade :/
Isaac Newton would be proud of you Isaac Thompson
Me too I'm in calculus rn
I feel bad for that one kid in the front constantly raising his hand, but never got called on haha
well it was edited i think he did get the chance to ask questions
Go to the top of the class 332211. Well said.
As a teacher, that really bothers me!!! 😁
@@heatherauld5651 Me too. This is preaching, not teaching.
@@darylburnet8328 well... Welcome to college. Some professors just want to end the class asap.
Although i think this vid is edited. Just like what the other comment have said.
I watched this back when I was in fifth grade, now I’m learning actual calculus. Thank you for the great video
Hearing the “woah” from the kids when he shows the 1/80 fraction visual ... lol
Great way to explain fractions.
Like literally the only thing that even registered probably
667 likes?
@Alan Poeta Maybe because it looks cool
@Alan Poeta Maybe you were a wiz kid way above the grade
Or you were a dumbass who wasn't paying attention
Idk Bro but WHAT I KNOW IS:
You definitely missed out on those WOAHs back then
*Did you know that if you’re lost in the forest, you can use your calculus book to start a fire?*
MrChina I was an AP Physics teacher and, still, find this wonderfully funny! Nicely played sir!
MSG omg really?! I never knew that!! I’m mind blown!! 🤯
At least it has some use in my life
MSG 😆😆
I had to Lol at this one 😂😂😂😂😂
"Calc is hard" *shows professors doing quantum physics*
lmao i was like... well tf is my professor teaching me
and i thought i was smart lol
Eric Wesson youre the definition of a neanderthal
Quantum physics are full with calculus
@Joshua Miguel De Rivera The nuclear department in my college teach a FUCK TON of calculus and modern physics
I worked building boats for 22 years. One day the boss showed me how to calculate the weight of a lead keel. Compound curves in three dimensions! I made the mold, and we poured the lead. When the casting was cleaned up we weighed it and it was within five pounds! Total weight 3600 pounds! It was totally amazing! If you learn anything, calculus is a super starting point! Great video!
Their reaction to the 1/80 circle makes me miss being a child
Dumb kids. What’s so cool about 1/80?
@@Dina-dm4un you were like that once....
@@Dina-dm4un r/iamverysmart
My friend when he saw 0.001: so many zeros
@@Dina-dm4un No cause, you liked your own comment i cant 😭
I am a college graduate and there is no way this fifth grade class kept up with this. I’m also a teacher and telling a student how to do something instead of letting them think about it won’t help them at all
also he is speedrunning this, I hard doubt kids even know the concept of fractions at this age
Agree. It's like cramming. I can't imagine myself being in those 5th graders' position.
@@itznukeey eh I knew fractions in year 4
@@itznukeey fractions are taught in 1st grade
@@fightingdreamers5599 youd still know it at year 4
I remember being told that addition involving negative numbers was too advanced for 6th grade. I'm jealous of these kids.
What!? Too advanced for 6th grade?
What? We had to learn that stuff in 5th grade
Well that just sounds like *_subtraction_* but with extra steps
Bro, same. Like wtf how that was advanced
i think ur school was just underfunded lol
He even managed to throw in a quick gesture towards how it applies to physics in the recap! This teacher is amazing!
Cool! I'll be waiting for:
1. Euler equation
2. Radial integration
3. Partial Integration
4. Double and triple integration
5. Partial Derivative
6. Second order integration
7. Laplace equation
Especially for the fifth grade, maybe it would help me to understand all those concept better
Wtf
U still waiting?
I like your funny words magic man
Im the 155th person to like this comment
@@epikgamr lol
Kid: *confused* raises hand
Teacher: *ignores* *keeps talking*
Kid: *pretends he was stretching*
Cristina Diaz oh god i felt so bad
xddddd
I wish I could say it hasn’t, but it’s happened to me
at what minute was that?
Farah Alyahya 13:25
As someone with teaching experience, this lesson started out really well, but did a poor job past maybe the 7:00 mark- kids, especially young kids, don't learn by being talked at. Because this lesson wasn't scaffolded, and essentially took the form of a college lecture, I can guarantee that none of these kids digested the ideas or remembered the content.
Totally agree, just hope this so called teacher learnt something. Student retention rates took on a serious negative dive.
It's not just kids. I'm a full ass adult and I don't learn anything by being talked at. I've always been a visual and active learner. If I don't do it and see it and understand it, I'll always fail. You can talk to me all you want--it won't process. Unfortunately, I didn't really figure this out about myself until really late.
Completely agree. I can remember exactly how I leaned concepts in the 5th grade, and he would have lost me marching through his coins in the triangle lecture. From then on, I would have been the quiet kid who tried not to get called on. The teacher who broke through to me was one who started at the end, drawing pictorial examples of problems that people try to solve in the real world, offering no mathematical terminology. She carried on conversations with us and she even sat down in the middle of the class, facing the front like everyone else, and scratched her head while looking at the drawings. She lowered her voice to a "just loud enough to hear" volume and asked students around her to help her figure it out. Absolutely every suggestion was honored, while she gently coaxed out the right questions. Then, Eureka - "What if we try this! Would that work?" And so on until the lights came on. She made sure there was no student left behind, and would stay after class to help. She built the scaffold by showing it built first, sort of, then she tore it down piece by piece, and by the end of the semester we could all rebuild it ourselves.
This was not 5th grade, it was a college pre-calculus prep class. She was a full professor in the mathematics department, and this was her experimental class called "Upside-down Calculus" I think (it's been years). I remember the students in the class raving about her after classes and actually being excited about understanding the subject for once in their lives, which I had never experienced up to that point.
Seems like about three days worth of info for fifth grade math.
@@RetNemmoc555 That makes me really depressed, actually. It's insane to me how archaic our education system is. You'd think we would have figured it out by now with how much we brag about being this advanced human society--but we can't even change our ineffective ways of teaching. I'm so happy you found one teacher who was able to do that--they all need to be trained that teaching requires diverse ways of approaching humans, not just following a curriculum.
Watching this video with a full understanding of calculus makes me appreciate the way he’s teaching a lot. The explanation of integrals is honestly insane.
This is a really fantastic explanation, and perfect as a 20 minute direct instruction, but as a teacher -- DAMN look at these kids DeSpErAtE to contribute! If you had taught this over a week, and asked probing questions, and let kids explore these concepts with structured activities, they truly could do calculus in a week.
Well said
Exactly! There are a few cases in Japan of extremely young kids being taught calculus (younger than in this video) and they actually can do it. Kids can easily learn this type of stuff if its taught right over enough time.
for the point of the video being on youtube it dosnt help us.. but i shouldnt haven been recorded in a class room
Idk what calculus you’re talking about, considering calculus needs like a couple years of prior knowledge with things like Algebra, Geometry, Trigonometry, etc.
@@adamd4702 You can comprehend the usefulness of abstracting a curve into straight lines by dividing the line into infinitely many units, and you can do the math for it, with knowledge of basic algebra and a lesson on nomenclature.
He needs to do more than just speak, like ask questions and have them answer. I don’t think I would be following along in 5th grade
He ain’t an actual teacher.
I got lost... I don't understand even if it's explained at a 5th grade level 😭😥
It's amazing how much a fifth grade kid understands - unfortunately, the idiots running the school system dumb down everything for kids, thinking that they are too stupid to understand the real thing while they're young and bright. Then they try teaching the stuff that little kids can understand if properly explained to them, and try to cram it into heads that are full of music, girlfriends/boyfriends, hockey (I'm in Canada), basketball, or - heaven forbid - pot and fentanyl. And they wonder why "people don't understand math."
They’re gifted that’s why they learning calculus
I’m currently taking Ap calculus and while the explanation was okay, the terms he was using would go over the heads of the average 9th grader. He used the term “point” and the idea of finding a slope of a curved line are not covered until around Geometry (which most people take in 10th grade). Me in 7th grade (I’m advanced I took Algebra in 7th) would have had most of these concepts going over my head.
Kid: 🙋🏾♂️
Teacher: I'm going to pretend I didn't see that
That poor kid 🤣😭
@Workout Bunny throughout the vid
😁
@Workout Sassy 13:00 is the most prominent
me: sees a person using black emoji, panikkkk,
Ps- its a joke, im black too
Huh. All these 5th grader are now all around 17 years old now, which means that, if their school teaches Calculus, THIS is the time that this knowledge would become useful to them again! I wonder if any of these guys are here now reviewing this material. Cool to think about.
Teacher:“Do you understand this?”
Kids: “yes”
Press x to doubt
I remember watching this years ago ( in 6th grade, close enough) and I got it. Kids aren’t stupid
(Edit): Love starting wars (: ((:
Tricks N FlipZ this is such a weird flex but okay moment lol
X
@@jackalslab2230 It isn't a flex. Just because you're butthurt that you don't understand it doesn't mean nobody does.
Lunar Dragon hey it was a joke bro, I never said I didn’t understand nor am I trying to put them down. I just thought of something funny and commented it... and it seems to me I’m not the only one who thinks it’s funny
Him: 1/80
Kids: 👁O👁
288 likes but no comments?
@@sn_wy6717 4 likes but no reply?
@@casper8849 2 likes but 1 edit?
stan loona
@@andrewkear5639 3 likes but 0 edits?
day 11 of self isolation: learning calculus
LMAO me too
Oliver HA 11 days? Try over a hundred
AlisonIsHere
I commented this 5 months ago...
Oliver ik lol im joking
9 months
That one kid that raised his hand during the slope question is a hero
"Are you smarter than a 5th grader?"
Me: "Aparently not."
me: yes. yes i am.
😂
There is no way they actually understood they were just trying to look smart in front of him.
@@jamesmathew6164 idk it didn’t seem very complicated
@@koifish4276 Yeah I understood it but judging by the look on their faces they definitely didn't
Teacher: "Infinity is a concept."
Kid in the corner: "I wish I could talk to whales."
He has his priorities straight imo
Time stamps?
@@self-proclaimedanimator 2:22 i think
@@delvianandriano2113 i cant hear it lol
Kid in the other corner eating glue
What's blowing my mind is I was literally a 5th grader when this video came out and here I am 6 years later, took AP Calculus AB (took the exam as well) and watched this video.
I only started on the basics of calculus, but even I can tell the concepts are very well explained. I think I will watch this video again so I get a refresher before starting Calc BC.
him: 1/15
kids:
him: 1/80
kids: WOOOOAAHHH
him: 1/infinity
kids: yes
Ok
1000th like
This isn’t really calculus concepts, you are expected to learn this in pre-algebra and Algebra 1
Jadon Subbu well they won't understand if you don't teach them the essentials
Timestamp?
I like how this guy ignores every kid who raised their hand. The kids have no idea what's going on, and he's OK with it.
He was too focused on ensuring his lecture was recorded pretending to be a college professor.
He should let them talk to know what they think about it
@@GregJoshuaW Wow do people on the internet have to be such cunts.
@@celestialbeing985 The issue is, explaining the fundamentals of calculus takes longer than 4 hours.
Yes, because that is fine. Kids dont need to know calc. But being introduced to it will surely help them, even if they dont understand it completely.
I really don't think these kids are getting it. I hadn't even seen an xy axis until maybe 7th grade. Seems like first you would have to explain what an xy axis is.
They probably already are educated about some stuff if they called a dude to teach calculus
What kind of school did you go to? We started on x and y graphs in the American equivalent of 4th grade
netflixisbae G there’s the thing, it’s an American school
*please laugh*
I am in American school I learned to graph stuff in like 4th or 5th grade...
Ah, Burgerland.
- Limits
- Riemann sums -> Integrals
- Instantaneous slope -> Derivatives
best explanation I've ever seen for all these concepts.
*class is completely lost*
"Makes sense, right?"
Class: Yes!
*student is confused, raises hand*
*teacher keeps talking*
Time stamp you amateur.
@@slashholt23 14:09
Dragonate Nice but that was an obvious stretch...
@@slashholt23 i am not exactly getting what you want to say.
Dragonate Hmm a joke... I guess one in poor taste.
I'm watching this while procrastinating on my calculus homework. Why is this so much more fun to watch than the actual calculus?
I am procrastinating too and I'm an arts student. Legit have papers to write and I'm watching a dude teach babies calculus. Enjoying it too. Hi 5
Because you don’t have to do anything or use your brain
probably since it's meant to be more fun since it's for 5th graders (not really, but you get my point)
Probably because you chose to do this on your own volition and not forced to, therefore you react and absorb better than you would the forced stuff
Because concepts are always fun to learn on the surface level. The problem most people have is when they have to work on problems that test their understanding of the concept.
The way he is ignoring every kid who raises hand is gonna make everyone hate him after the class
Yeah around 9:40 a kid raises his hand and then it cuts off. I think he’s answering his question there.
I raise my hand every time in class. Teacher ignores me and gives me an 85% for participation…
He's a guest speaker with limited time. Not a full time teacher with months to cover it. If this were officially implemented in the curriculum, teachers could take their time, and answer all of the questions.
@@tr4shdump284 lol
@@sirius940 yes but there are cuts, indicating he might have answered those questions
Exceptionally well explained!! I guess me and my fellow friends are lucky.. cuz we were taught calculus the same way like this when we got into high school (2nd year onwards ) as our teacher really thinks that every new and vivid concept should be explained like it can be understood by a kid ( typical 5th-6th grader ) and I absolutely love it... And the same way was done here !!!
It’s really good, but a lot of it is just *telling* them rather than relying on their intuition. It’s so close to being a good lesson. Wish he gave them a chance to really think about instead of thinking for them.
He does have a schedule to fit. The students can question on their own every step of the way afterwards :)
I agree that the point you have made about the teachers interaction is valid - that there is number of occasions when the teacher simply checks to see if the students are in agreement. Does he know how much learning has happened or engage the students in more of the ‘discovery’ of the ideas. Mind you this lesson introduces at least 4 major calculus principles and the fifth graders seem engaged. My instinct is that this is likely to be a sample of the class rather than the full class...
@@miketwalsh that's a pretty big sample class...
It was so sad the one kid raised his hand in the beginning,
with a look of excitement, but as the lesson progressed he stopped.
another comment was made that probably video was edited to remove the question/doubt parts to make a compact presentation
Let's face it, it IS a lot to unpack.... no matter how simple the words used
I think this is a great idea, but should have been tested with 7th or 8th graders, because they have a better understanding of algebra and geometry. That way you can really gauge the effectiveness of this idea.
Hi I’m a 7th grader and I am probably the most qualified to tell you that my idiot peers will not be able to understand
Shut Up, Wesley! GT or standard?
and teaching them before the union idiots who would be fired for ineptitude and/or laziness confuse them.
alfoul I
Kids learn certain things easier and quicker than adults. For example, kids absorb foreign languages better.
It is easy to forget this and think because it is hard for adults, it then must be hard for kids. When it comes to calculus this is farthest from the truth. Kids have an easier time learning calculus than college students, when it is taught with that audience in mind.
eg, my father was a 2nd grade calculus teacher for a while. It is a thing.
If anyone wants to learn calculus but has struggled in the past, or doesn't care for other forms of math much, checkout the book Burn Math Class by Jason Wilkes.
I was curious to hear what questions the children raising their hands had. That would've been very insightful.
Probably “when is class ending?”
"can I go to the bathroom"
Nah its “(1/2).a.b”
@@HugoVasquezX
Wait 1/infinity minutes
That was frustrating for me to watch!
I can't believe he stopped making youtube videos right after this one. It really makes you think were he could have been, and where he now is. Maybe he's a successful teacher, or maybe something related to that. There was a chance he could have lived off of making these types of UA-cam videos. The disappearance seems mysterious and confusing, but it's also rather fascinating.
@@manitoba-op4jx yeah, that's the safest guess. If only he was still a youtuber tho.
1over 80
(kids) WOOOOOOAAAAAA
honestly it was probably one of the purest parts of the video LMAO
Their allowance just vanished.
😀😀
they were just thinking, 'that's like no pizza, who's ordering more!?' 😂
1 over 8.76237842527424828484792*10^8237536823756327 me meeh
Teacher: What's 1+1?
5th Graders: YES.
Eleven?
I'm sure it's 3
You all are stupid it's obviously 7
Quasar no it’s 9
y'all seriously need math help its 45 you dummies
Teacher: do ya understand ¿
Kids: Yesn't.
Lmao
Are ya winning son?
Lmfao
kakashi senpai?
Schroedingers Answer
Im 15 and I’ve never studied it before, at least not outside of my regular math class when it was part of a different chapter. But I actually found this really interesting and easy to understand
U in class 9?
If u are then u. Can understand the concept of calculus in a playlist of don't memorise class 9 &10 u just search calculus infinity class 9&10
I am 15 too in class 10. We are doing the basics in classes. It's really not that hard, you just need a open mind 😅.
Hiiii, same here, this does feel a bit new to digest, but is pretty tempting to study though :3
"You understand?"
Sophomore me watching him explain concepts: 👁 👄👁 ???
5th grade kids: Yes
Inae Kim they aren’t even listening him
Lol thats me🤣🤣 I was able to keep up just because I know the concepts otherwise I'd be freaking out 🤣
Dude that’s deadass me 💀
Yeah they probably weren’t paying much attention I know to got super bored when the math teacher talked a lot
Senior me currently taking AP Calculus: 👁👄👁 ???
I'm still confused.
-High school student
@sc2umsmaker lol
Im still confused
_PHD
@AmplifiedSilence woosh
SAAMMEE
Brandon Rilling And still stupid
Kids got their minds blown at 1/80.
My mind got blown a few seconds later when the teacher said 1 over infinity meant nothing to him.
This lesson is greater than children.
This is lesson is for much older adults.
I hope that the teacher will find from image of tired kids.
Don't damage the brain of the kids for what is not suitable for time.
Thank you
He needs to check for understanding at least, there’s no way any of those kids were fully following that super long lecture piece
there’s no point because everyone would be like “yes”
@@hamburger9677 there are other ways to check for understanding than verbal agreement. He could’ve made a short worksheet to increase participation and attention. The lesson was structured poorly anyway.
@@meganc8714 ok sir
@@meganc8714 to be fair, we didn't see his entire time in the classroom. Since he was a guest speaker he probably had at least an hour, and this was about 20 minutes of footage
@@meganc8714 Agreed.
guy is literally talking to himself and everyone is just saying "yes" to get him to move on
That's why kids never learn...
Areshy this is why I like my math teacher he makes us explain the concepts when he asks us if we understand I have to explain the entirety of algebra 1 to this man while he spit this knowledge at me a minute or two before hand
@@zachsin2411 *beforehand
MARC YEO
He should make students solved problems in front of class. That get their attention...they learned better..
15:25 someone says "no"
"Students will learn algebra with practice."
Dude, when I hit calc, none of the professors used visuals. It was all equations and algebra. The problem is, I was taught math by high school teachers, and now I was being taught by mathematicians. If you showed up to class and didn't already know how to do what ever they taught that day. You would be helplessly lost.
yes... this is why college professors should also get training in educating others, not just high school teachers.
The issue is how schools manage the pace of these concepts. They take their sweet time teaching you algebra and geometry and concepts you should have a grasp on since middle school, then goes full throttle once the you get to foreign concepts like calculus.
1/♾️ can be used to find slope of curve at specific time = Differentiation (derivatives).
1/♾️ can be used to find area= Integration.
I have to admit, I'm torn. I think the idea of trying to inspire fifth graders by reaching out, as you have, is wonderful. Trying to imbue them with the grasp of concepts so that they might be as fascinated or comfortable with advanced math is laudable.
What made me cringe is the pedagogical process. Minimal checking for understanding, 100% lecture, nothing Socratic, and for much of the lecture a virtual wall between your students and you.
It brought back memories of my days as a student in math class when the "sage on the stage" recited information without reading the room. Subsequently, as a teacher, I discovered the art of teaching is not in the content as much as it is in the connection. It's a rare person that can be both the source of knowledge and the oracle of communication.
The reviews at the end are the kindnesses of children raised to be courteous and at a stage of development where charity still resides. The true test of efficacy would be to have a child teach you the concepts you explained to them. For them to reword your presentation. To move from regurgitation to application and eventually to synthesis.
That last one is where the spark will bring them the joy of knowledge. Synthesis - where they can apply your lesson to new questions or unlocked puzzles.
I think you say it best here.
So i am only adding words for the comment algorithm to show your comment to more people.
I know 5th graders can understand this kinda stuff,
As i did in fifth grade.
But i didn't learn shit from a lecture,
I learned it from self-study,
That i only performed in order to answer completely unrelated to school questions my peers would ask me.
(...or to win bets...
Look i was a poor kid and school lunch costed me money, ok?)
I think the principles being taught are solid, but the methods are... Less than optimal.
Kids in other countries learn calc at much younger ages than we do. Is this because they are smarter? Do they have some innate ability to understand better? Or maybe we just need better ways of teaching them
💯🎯
Hi future teacher here. And I'm really interested by your.... philosophy(?), or views(?), on teaching. Was wondering if you had any resources you'd recommend to future teachers.
@@aaaaaaxaaaaaa I would argue that simply using the measure of "... earlier is better..." is a fallacy. Certainly pacing and intensity can be explored and improved upon but there are other aspects of teaching content beyond just the timing of delivery. Cultural aspects that impede or encourage learning, heritable aspects of intelligence, resources to support learning like infrastructure, materials, and teachers, a review of Maslow's hierarchy, etc. all influence a child's ability to learn. Frankly we also have to wrestle with the crowded curriculum issue, not to mention that aspects of learning and development we've chosen to ignore (like the importance of free play/recess for children). Most adults don't use a majority of learned content in school in their daily lives. But everyone uses the skills of learning. Teaching content is important only if you teach kids to learn and think. I also think we have to recognize that schools around the world are used for different purposes. Political and social indoctrination, creating industrial human resources, cultural entrenchment, etc. all play a part in what kids learn and when. Here in the US we see social and emotional learning initiatives that crowd out other initiatives. Social engineering and indoctrination, guided by politicians, not educators, wreck havoc on each generation of learners. New teachers being brought into the profession to think they are to be advocates for agendas rather than guides on a journey of learning. We find collegiate majors that have no true opportunity to find employment thanks to useless degrees (this is where we discuss university funding schemes and recruitment).
The timing of teaching calculus is just a one of a thousand issues facing education in the 21st century.
As a high school teacher I don't even know where to begin with this. This is easily about 5 lessons in one. He is talking about several concepts I am sure they don't understand. They should also have something to write on and work out while he do this. Looking at slope alone would take an hour. What is a function? Why do we use calculus? How does it relate to real life? He started to allude to it at the end but didn't really go anywhere with it.
Seriously. You have to take frequent breaks and regroup. Pedagogy is very underutilized.
Like I’m glad I get to watch this lecture because I’m an adult. Using simple concepts to explain works for me because I can make the inferences between the topics in my head, and don’t need as much time to process. But kids don’t have that base built up, and so they need more processing time. If any child in that room was capable of following for the whole lecture, I’d be amazed. Just because kids know when to say “yes” when prompted doesn’t mean they’re following.
Sara Jane Webster bruh it’s not that deep
@@talljackedhandsomeguy Bruh, you're not that deep.
it makes sense to me that he is a college student, it is basically how math is taught to math major( I am a math major) it works for us because we have a certain amount of mathematical maturity, but it am sure that it doesn't work for children. people don't remember how they learned math as children. it is not by manipulating abstract concepts, it is through practice and time.
You are a shit teacher then
It was a really good effort... But it had to be more interactive for the students to be able to understand it.
I'm pretty sure they edited it down so they video wouldn't be too long
I'd think the cuts are the answering questions.
He has limited time to cover this topic, since he is a guest teacher. It would be a waste of time to answer the questions DURING the lesso. He more than likely answered them after kr Smith.
Why assume the kids are too dull to understand? Much of our instruction back-in-the-day was the furthest thing from "interactive" - yet - our generation learned. And learned well enough to make most of the modern scientific advances enjoyed today. Kids should have more expected of them.
When you're twice their grade level but still don't understand:
" Let's take a step back from everything we know about math"
Way ahead of you brother
I kind of wish that they taught (single variable) calculus back in middle school to be honest. It really isn't that hard of a subject. Introduce these kids to basic derivatives and integrals, then maybe in highschool apply it to things like volumes and series.
Especially since, without calculus, you would learn the BARE MINIMUM in other subjects like physics.
I agree! The basics of calc aren't difficult at all, and if anything they helped me develop a better grasp of algebra. I managed to get a middle schooler to understand what a limit is once, and it was really cool to see them start noticing things they always took for granted in math.
Meanwhile there’s people complain about the school system and whine “when will we use calculus???”😑 I do agree that calf should be taught more earlier than junior/senior year of high school
Coming from a physics class- Trig and Calculus are mentioned every, single, day. We don't actually do it, as eighth graders, even the smart ones, get confused by it. Learn a still significant amount of physics and the principles of it, but the consensus we have is if you care, you'll end up learning calculus and trig, and doing the AP Physics class.
Bare minimum, but it is useful.
I’m taking a pre-calc equivalent in Australia called Mathematical Methods, and it’s really hard. I think I crammed for Algebra 1, Algebra 2, and Geometry in just one semester or so(?). I question my sanity in choosing this level when I’m only a sophomore, but the next easiest level doesn’t teach any of this.
We started with linear and quadratics, then hyperbola, truncus, square root, circles, semicircles, cubics, quartics and what functions were in about 7 weeks. An example of the function notation I learned is:
[2, 3) → ♾️, f(x)=x^2+4x+4
Probability, which was a lot on ‘binomial distribution’ and ‘hypergeometric distribution’. From learning about what event is most likely and least likely to learning about discrete random variables. Needless to say, after quadratics I scored in the 60-70% range.
Then, we learned what radians were for the first time and on the fourth week we ended in drawing tan graphs.
Australian math is crazy. 😅
Most students in high school struggle to do basic algebra. It's the sad truth. The hardest thing about calculus literally is the algebra. This is coming from a calc 2 student. They need to focus more on algebra in middle and in highschool.
I’m still in high school and don’t know anything about what the best way to teach is but I guarantee a lot of these students went home not understanding a single thing
True, I barely even knew how to do fractions in 5th grade.
“Something something... a pizza with 80 slices...and that’s infinity!”
IDK if this is kinda normal to most, but in my country basic algebra begins in 6th grade, even integers (approxinately) lol. So seeing them doing Calculus which is our topic in 4th year highschool is kinda...idk odd or wierd.
Nice profile picture, gamer
True, but the point of this whole thing is to introduce the concept early, so it’s not as confusing in high school. The teacher knows that most of them aren’t going to remember, I mean who remembers anything from fifth grade? But later the topics reoccur and you start to actually remember. They’re going to get into high school and remember back to this lesson, and it’s not going to be AS hard because it’s not something completely new.
Mom: "So what did you learn today?"
9 Year old me: "Oh just a little bit of *calculus.* "
13:46 i think the kids have the same question for you..
I love this comment section
Big effing mood😂
He's the reason why lots of kids don't end up asking questions.
I know :'( @@anakinskywalker7289
Anakin Skywalker I noticed that he completely ignored the kid in the front row with his hand up, then the kid gave up and put his hand down. Sad. Makes me think either this teacher never answers questions or else this is staged (and based on the gasps at 1/80, I’m leaning heavily toward staged).
I have been insisting for years that the key concepts behind calculus and algebra aren't actually that hard; it's just that we teach them poorly. Kids are doing 3+?=5 from first grade with no problem, but once they hit algebra they're given 3+x=5 and they're so convinced that this is some entirely new type of math from what they're used to that half of them need to be coached through it the first few times. If we just started introducing these concepts earlier without conflating them into something unfamiliar to the students, their level of understanding would go through the roof.
Reuben French It's teachers who don't explain it well
Maybe we need to take some lessons from Singapore's teaching methods
Reuben French I teach algebra, and that's what I always tell the kids. Don't think of it as "algebra" or "factoring," because it's all just adding, subtracting, multiplying, and diving. When you solve 6x-8=10, all you're doing is adding 10+8 and then diving 18÷6. If you can do basic math, you've already mastered 90% of algebra. Same with calculus.
Tip: dont question it just go trough with the subject and it will make sense in the end. You only need to learn the rules.
Totally didnt make sense. But its still working for me and my friends xD
And stop saying things like "you can't take four away from three." Say instead, "We aren't going to do that NOW."
I showed this to my brother who's in fifth grade.
He's Isaac Newton now
Not implying anything about your brother, but Isaac Newton seemed like a jerk.
@@Mryeo5354 wdym?
thank u for making isaac newton
Stuart Yeo wdym
He had a really large ego and basically bullied anyone who tried to challenge him.
I guess, I never really thought of infinity as a concept rather than a number even though I got close to it. This cleared up the concept differentiation really well . I hope you the best .
*Kids see 80 slices of pizza*
"Woah!"
Well, that's much more pizza than, say, only 8 slices ;-)
@@fewwiggle it's the same pizza, it's just more tedious to eat the slices :c
@@mr.procrastination9740 even more time to enjoy it! 😂
Your pfp 😂🤣
It’s cause he knows how there pizza party be
Calculus explained in one sentence: an infinitely accurate estimate is no longer an estimate.
I had an infinitely accurate estimate on the cost of my car repairs, but then the mechanic added tax and labor. :(
pattystomper1 see! Math is useless!!!!111
pattystomper1 No, you had an infinitely precise estimate. Very much not the same thing.
That's pretty good right there buddy.
not accurate. precise. completely different.
This is just a problem with the education system of today. The reason some people fail at some topics is because of how they teach it. Instead of focusing on mastery, they focus on efficiency. They don't care if students don't understand it. We are just learning to pass a test, not learning to master our subjects.
Costco Pizza couldn’t agree more
This is true overall, but i have had some teachers who intentionaly break that mold, and interestingly enugh they are always my favorite teachers and i tend to know their subjects the best, COINCIDENCE..... I THINK NOT
It's bigger then how your picturing it and way more complicated. Our education system sorts people for very broad categories but for very specific reasons.
Costco Pizza if you want to learn you just need to studying. The teacher is not you. If you don't read/study you'll never been learn even if you have a best teacher in the world
Jeff erson if the students have to study on their own, then the teacher is doing something wrong because they’re spending extra time studying a topic when the teacher could have explained and engaged the students in class, rather than force them to study on their own at home/on their own time. The objective is teach students, but if you don’t teach for mastery and instead opt for efficiency, you force them to backtrack and fix their mistakes when it would have been easier for them to be taught mastery of the subject from the get-go and not waste precious time relearning.
I wish i still had teachers like this (who made you understand the concept really well and in an interesting way)