Have you thought about creating a series to cover high level math subjects such as partial differential equations, etc? You would probably consider picking a few questions across different difficulty levels and this way you show case to your audience how this practical active learning can help anyone learn difficult subjects. Just thinking out loud…
@@Torocattt I don't know how you're relating yourself to me since you seem to be saying that math is easy for you and that you love it but alright 😭 7th grade is about 13yo I think right? What're you learning rn? :))
@Abcdghii I'm learning about angles, transversal, alternative interior and exterior, co interior and exterior angles etc etc, pretty easy but just a bit confusing, I got my half yearly marks and I got a 75/80 !! :) (dumb mistakes lol)
@@Torocattt I didn't understand any of this (I'm not learning in English and also don't go to school haha) but you seem to know what you're talking about!! I'm also doing angles n stuff, trigonometry 😮💨 How are you doing in other subjects? :D
I have such a genuine love for learning. As someone who graduated from high school with a super low gpa, and had no confidence in math. I can now say I am pursuing a degree in engineering and gaining confidence I have never had before. If you're reading this, DO NOT DOUBT YOURSELF. You are capable of everything you dedicate yourself to. NOTHING is difficult, you are just not used to it.
i learned three things in this whole 15minutes, 1. don't try to solve a problem if you can't think of an approach before starting. 2. Keep yourself familiar with the problem like keep practicing until you automatically solve the problem before thinking of any approach(1st one), as you do basic calculations. 3. if you want to believe and stay confident and motivated you need to first start from the basics. -----correct me if i missed anything. Thank You!
It was David Hilbert who famously said nobody ever understands math you just get used to it. He was a top mathematician/ professor in the early twentieth century.
@@Grassmpl except for the fact that he's just plain wrong on that note you can understand it. its true, which means there is something there that can be understood this is different from just being able to do the math by resorting to using true facts (e.g. pythagorean theorem), and building up on those but if you truly understand math then you can create everything from scratch, on your own, if you were alone on a desert island and no internet
Yes of course you can, but trying to understand math us wayy harder than just doing it, which sounds wrong, but you would see that people that are good at math dont understand it, if you go to a school and ask the prom what does an X elevated to the power of two means, maybe 1 or two students will answers you, but if you give them a cyadratic equation they know how to solve it
The point is to understand the concept and theory the questions want you to know, it doesn't matter whether you can solve the problem by looking at the answer or not!
there's kind of two sides to this. Sometimes it can be really helpful to reverse-engineer the solution after looking at the answer, but you also want to build your critical thinking skills. Becoming overly reliant on having the answers in my experience makes you check out when you don't know what to do on a hard problem, but an important part of being good at maths is having the ability to persevere through being stuck and trying different things.
If you want to learn maths as a set of tools you can use in everyday life then you probably just need to know how to apply existing theory, but if you want to have a deeper understanding and be able to solve new problems you need to practice finding a way through not knowing what to do.
I was humiliated in school for being math illiterate. I wish to learn from scratch again teaching myself to help resolve the anxiety and hurt it has caused me. I find this video motivating. Thank you!
I was viciously bullied- mentally and physically, by my math teacher. Humiliated in front of the class every day. I started skipping math class, and it got worse of course, but then I was suspended and my mom transferred me to another school. Best thing that ever happened in my childhood! I was actually very smart in Accounting, in all languages (I was the top student), and I was excellent in practicals like Sport, Woodwork, etc.. The damage was done though. I was a popular, outspoken, energetic, talkative, loud and outgoing kid, before that- basically a jock, but I wasn't an a-h0l3. (and I loved math- because I was good before my 5th grade) and had so many dreams, but after that year and a half, I changed. I became an introvert and today- 25 years later, I'm a hermit and soft spoken. I'm afraid of people and rarely interact with anyone. I am haunted by what people think of me. I know it's silly, but I can't get over it. I hope that person burns in h_. I still hate math.
This is crazy.. I stayed up all night doing math problems, just got done and decided to hop on yt before I go to bed only to see this as my first recommended video. It is 7:41am right now for context lol
you're basically doing hours of work for nothing since staying up fucks with your hormones (dopamine levels cannot be regulated and testosterone dips badly) your vision and digestive system take seat back to compensate (you won't digest very well and your eye will tire and dry out faster) you lose muscle mass since there is no repairing or building only breaking down cramming has been proven to not work, it's way better to use spaced repetition and active recall Please don't do this again, it's not worth it as you're not even making $ doing it
@@crazytimesman it's rare to meet those who do math as a hobby. I wish you the best with it! just don't stay up too late, it must be fascinating though :)
This is so relatable. I'm bad at math. But I've managed to get a bachelor's in physics and the technique you're talking about of initially giving up on the hard problems and then walking through its solution really works like a charm! I did that significantly and my math improved quite a lot.
@@syedanaushabinzakirkhan20p50 Hey there! Would you mind giving some more tips how you studied and got good grades for math during ur physics degree? I'm thinking about studying physics but I'm scared of failing math. Your help would be very much appreciated :)
@@iiSxmz Hi! I can totally understand what you are feeling. From very early on I was interested in physics, I knew I had to make a career in it. The only problem was math. But gradually, in my highschool I tried making friends with math, what I mean by that is I practiced as much as possible and I focussed on the logical part, the memorisation part is a) not necessary, b) comes along for a ride if you practice enough. So, the moral is 1) Don't be scared of the problem, just in the back of your head remember that if there is a problem there surely will be a solution. 2) Practice makes perfect. 3) You can't necessarily solve all the problems, you can skim through the solution of a significantly hard problem and deal with it later. I hope this helps and good luck with your physics career!
My teacher had convinced me that nothing could improve my chronic mathophobia. But thank god youtube had faith in me and recommended this. Thanks Han ❤
@@brownie_09 Barbara Oakley, an engineering professor who also had a math phobia has a free class on coursera called ‘learning how to learn’. She has authored books as well on everything to do with math.
I love you.. im still in high school and I’ve been struggling with my math and my math lessons aren’t helping too so I just gave up but I came across this video and you just gave me so much motivation! I’ve talked to my teachers and they’re moving me to a higher class for better understanding! I def use your your tips when doing math ! I never really studied math before but your passion and knowledge makes me rlly inspired!! Thank you I’ll keep you updated if I did it ! My exams r in 2 weeks wish me luck !
This video is so funny to me because I used every tip(+ a lil bit more) in this video to study when I was in my senior year of high school, but somehow I disregarded or forgot about them once I got to university. Now, as I'm self-learning code and math for computer science, I'm looking for ways to study efficiently and stumbled upon this video and as I am listening i realized, wait a minute, this sounds familiar. Damn. Thank you for this-I don't think I would have remembered these tips without your video.
Here’s how my son got good at math: Practice, practice, practice. I bought him an older edition of his calculus textbook because I could also buy the complete teacher’s solution manual. He didn’t really use it during the first semester. Consequently when second semester began he didn’t have confidence about his first semester knowledge. So my son proceeded do Calc I all over again by doing every problem in the book. At first he would get most of them wrong. But by having the step-by-step solution to every problem he soon discovered that some of the concepts had had wrong and that he had a tendency to make the same “mental” errors such as not paying close attention to negative signs. But the bonus learning thing for him was by seeing the methods professional mathematicians used step-by-step, it taught him how to employ the same patterns of problem solving. In just one semester (although it required two hours every day for the entire semester) he taught himself how to be good at math. Now people think he’s a kind of math genius. Calc II and III and differential equations were easy for him.
I concur. I did not have advanced maths at undergrad (example differential equations). I found an engineering maths book because they are practical and come with solutions. By looking at the steps, I found patterns that often appeared (and I like finding patterns to solutions) and things began to click; in fact I thought of taking an advance class in math but for the way lecturers teach it: it put me off.
Everything can be achieved with tons of practice. But that's the thing. PRACTICE is hard to achieve and do lol. It takes an incredible amount of motivation and mental stability just to focus on practicing and practicing. Practice is hard
Thank you so much for this video. I’m an older person trying to learn algebra for myself because I believe it will help to keep my mind sharp. The information and your point of view in this video helped me. PS ~ I love your mic. Very creative.
as someone who is considered good at math, I agree. I literally do not understand how I know what to do or why, I just know what to do next. the more I focus on why I know what comes next, the more I confuse myself. it’s actually really difficult for me to explain math to someone because i start confusing myself when they ask questions like “how” or “why”
Same. After 10th class when I was in 11th and 12th I struggled a lot with advanced problems of any topic.(In India jee entrance exam has crazy difficult math)I tried the methods in various youtube videos about learning how to approach a particular problem but then I would remember that for my entirety of time till 10th I would just somehow know what to do and not think about the approach as much. For now I am in college and it seems like I have gotten back my talent of knowing what to do in every problem subconsciously.
I'd argue that it's important to understand the hows and whys if you want to go far in math, but there is some merit in taking things at face value just to get through certain parts until you do understand things more deeply. On some level, the more basic the concept is then yes there's not but so much to explain as to why even if you tried...but the more advanced concepts are built upon a collection of those fundamental basic concepts.
I believe if you want to become really high level, it is necessary to know all the underlying proofs and details of the maths you practice. For succeeding in school, which doesn’t have creative or ingenuitive test problems like the olympiads, just applying what you learn at a face value will be enough.
I wish I could just let go of the need to understand every step, and just learn what comes after. As such, I almost understand every step, and the why and how behind it, but I don’t recommend it😂
Honestly, thank you for this! I'm a middle school math teacher getting ready for my middle school kids to come in and learn math! I will show them this video during our orientation next week. Mostly because you clearly are really good at math if you graduated from Columbia with a math degree. But you actually had the SAME STRUGGLES that my gen ed and SpEd kids have. So seeing YOU, of all people, having the same problems they encounter with math will be gold. Thank you for this marvelous content!!!! Also they'll relate to the fork/mic thing you have going on there. It humanizes you! ;)
The feyman technique actually works. I remember being in 8th grade and I wasn't rly a good student, always had low to medium grades. I was studying for a Cience test and I just happened to be so bored that I pretended to speak to an audience using the mirror in my room. I liked it so much i just kept doing it. Test day comes along I got a 98/100, highest grade I've ever gotten. Since then I just kept doing it without knowing that it was a technique.
Excellent. I've always used this technique in almost all skills I need. Coding, languages, drawing, painting, complex knot tying, musical instrument, exercises, cooking, etc. Start with what you what you know is right, then train, repeat, and perfect how to get there. Develop the habits until they are rote.
To be brutally honest with you might just be the most useful video i have watched in a while i just knew math was this way but did not accept the reality of it. However when someone else feels the same about it, it just shows that its you who has been limiting yourself. So thank you 🙏🏻
In this case the phrase brutally honest is out of place. It's used to prepare the reader for hard or even offensive truth/ observation. But you just said something very tame and normal, far from offensive. Hence the opening phrase being odd and out of place.
Great advice! Im going to highschool and im so bad at maths and your words made me feel confident I hope anyone going through a rough time in school will overcome it and pass , praying for all 🙏
Thank you sooo much Han!. Just before this video, i was reviewing on some math topic i had last school year which i had ALOT of trouble with. There are some lessons i remember and can do decently, but most of them are wack, so i just completely gave up and spiraled into this overwhelming feeling of self-doubt. This video legitimately came on to my fyp, so i had to give it a click. And now i feel like it all makes sense, thanks han for the solid tips!
Han, you are a true genius. Big respect to you for being able to analyze your experiences and feelings into gaining the control and achieve success. I wish all young people see this video. Chapeau
Thank you for this insightful video! Your tips on how to study math effectively are game-changing. I've already started applying some of your methods and can see a difference in my understanding and retention. Keep up the great work!
Von Neumann, who was famous for having incredible abilities in mental math. The seminars he was in would just rely on him to crunch numbers like a modern scientific calculator.
That is one of the silliest things von Neumann ever said. It's terrible advice in general, it's particularly bad in mathematics, and it's not how von Neumann did things compared with other people. He definitely understood things other people didn't. Yes, he also calculated rapidly, but we don't remember a million other people who also calculated rapidly without understanding (computer used to be a profession), we remember von Neumann for contributing his understanding of the fundamental structure of many things from game theory to set theory. It does make good clickbait, I guess, and a lot of people who don't understand mathematics will applaud, but it's not a step forward at all.
@@douglaszare1215 I'm majoring in math at Duke and I can try to explain what I got from the quote. Learning math is a constant and perhaps frustrating struggle but the satisfaction from a concept "clicking" is unparalleled. In some sense I might be addicted to math due to that. But, you never know when a concept will click, and you just carry on, sometimes with your understanding still at a rudimentary level, and sometimes in understanding a more involved theorem you realize the importance of a prior lemma. A professor of mine once said in math you can't wait to explore every possible nook and cranny of a foundational chapter/intro to a topic before you move on. You can't wait until your intuition is fully built before progressing, otherwise you will never make it too far. I've known linear algebra for more than 6 years now, and yet if I'm helping someone learn some concept, or looking through an old book, sometimes I'm still hit with a "wow, cool" feeling if I see things through a different perspective. I first learned analysis in 2022. It's been 2 years now, but I am still getting new insight from time to time. I'm currently taking algebraic geometry. It is CHALLENGING and my understanding is as patchy as the schemes we're learning about. Some people say it took them 4 passes through the subject to understand it truly well. So, all in all, in math you're never in a state of understanding. I guess this is the idea of mathematical maturity. Insight might come eventually, but until then you're just applying definitions and hoping (I STILL have a hard time with the Lie bracket and it's been 3.5 years now...).
05:14 Better than checking the answer key: Compare the final result to the original problem. Plugging variables back into the original equation works well in Algebra especially. Doing this by habit makes exam scores go up, because there will be no answer key. In real world uses of mathematics there won't be an answer key, so checking the work should be part of the process and the last step of the process. Done with habit, this gets to be as automatic as following the algorithm is.
I appreciate this video. Currently I am on my first year of college and even though I did great on my first math exam I am currently struggling trying to figure out how I will be able to learn all the new concepts for my upcoming math exam. I feel much better after watching this video, thank you!
YES!! I’m glad someone is sharing the key to learning. Just look at the answer and then try on your own. I aced chemistry by going through all the exams I could find with solutions. I got really good
I spend HOURS studying math, and a week later I can't remember anything I understood just a moment ago. I have developed my technique for learning by looking up the answer to an equation, writing it down, and then thinking HOW to get to that number. I am not sure, however, that this is an effective technique. Math is super frustrating for me, to this point when I'm literally crying over simple things. I always have to write down every number, while my friends just calculate them in their heads, which is really depressing. Thank you for help! I'm for sure gonna try everything you said in your video.
That’s a terrible and inefficient technique. Go to simpler problems, learn how they are solved and the reasoning. Practice them a lot and then build up from there
I might probably be a child when comparing with Han ( and more in comments ) at Mathematics, but Im studying Combined Mathematics, Physics and Chemistry for the 2026 GCE AL Examination. Your videos helped me to start learning Mathematics and work according to proper manner ( Definitely not a time table) . Im in love with Science and Mathematics and I spend nearly all the day studying these 2 beautiful subjects.
I can’t thank you enough for sharing your story, and your advices. What you lived with maths in high school is word for word what I went through. As an adult, I’ve decided one year ago to learn maths from the ground up, I found a very good private teacher, yet I am still often scared of practicing and judging myself to hard.. My dream is to successfully study Computer science in college… I’ll come back here in a year or two to give an update on my journey:) To all the people out there struggling: You’re not alone, do not give up !! You’re worthy of studying maths, give yourself time, and allow yourself all the questions which come to you !
I believe in you! You’ve worked so hard to improve at maths and it sounds like you have exactly the type of help you need. Working from the basics onwards helps so much! Maths builds on itself so making sure you have the foundations will take you a long way 💕
@@EmL-kg5gn I am so grateful that you took the time to write back, your words of support mean a lot !! I'll keep them close for the rest of my journey !! All the best to you !!
I'm unsurprised that your video has 2.5 thousand comments in just five months. First of all the fork and the microphone - brilliant - especially when you mentioned that you felt like stabbing yourself with it at times! I did not turn to university modules until I was in my late 60s but I had the same problem as you in your high school days. Anyway, I still love watching videos with math problems, and to be honest, it's young people like you, who give the soundest advice. Great video with very sound advice. And the fork - very innovative.
The only way to come to this conclusion is to never take a proof-based course, not even geometry at school. Mathematics is born when intuition and rigor are reconciled. If you don't have a good intuition, you won't even know where to begin proving non-trivial results, nor will you be able to come up with plausible conjectures, but if you aren't rigorous with it you will inevitably overlook some edge case eventually.
@@pavlosurzhenko4048 The problem is HOW math is taught. Math, in and of itself can be approached from myriad directions. But the pressures and constraints of the average public school prioritizes fast completion of problems over in-depth understanding of the relationships. That is why many teachers fall back on shortcuts and tricks that leave gaps in students understanding of procedures.
Currently taking calculus 3 at my school after having taken Calculus 1&2 back in 2020 - yes it’s taking more time trying to catch up but the intuition I built in Linear Algebra & general math tutoring is somehow helping. It’s super frustrating when I have to start intuition from scratch.
This video was exactly what I needed to understand this topic better. The way you broke everything down into simple steps made it so much easier to follow along. I’ve been struggling with this concept for a while, but your explanation made everything clear. I appreciate the effort you put into making learning accessible and enjoyable. Thank you for sharing your knowledge and helping students like me succeed! 🙌📚😊
Hello, i'm so glad I found your video. I had a similar experience in high school and had this "math anxiety" because every time I was confused about a topic, my teachers made me understand that I was "too slow" or they didn't had the time to help me, and it's so comforting to see people with similar experience. Also I believe that they teach math mostly to train our logic and what you said about practicing also applies to other scientific fields like biology, chemistry or physics. Your video is really helpful because i'm about to study biology in uni and was "scared" to do maths or maths like subjects, and now with this new methods, it seems less complicated, so thanks you for the advises. Also for all people struggling with scientific topics, your not dumb, most people don't even try because they think they can't do it and you are trying so it's already a victory somehow. And you are not alone, so keep working hard and improving and it will be worth it in the end ! Thank you for reading, here is a potato : 🥔
Thank you for breaking it down so clearly! The car driving analogy really hits the mark-such a great way to explain the difference between passive and active learning. Super helpful for mastering anything!
Looking up the answer and step by step-by-step approach to a problem that I have no idea how to solve, then using what I've learned there to walk me through subsequent problems, has been my approach to doing calculus lately. Since then, my progress went up rapidly and now I should be done with it in a week or two. As for understanding, I agree with that also; the explanations of how to do a problem help me understand the logical steps to solve other problems on the same topic. I also stopped obsessing on getting an A+: If I study and practice effectively, I'll get a good grade.Moreover, I realized there will be plenty of opportunities to further solidify my understanding of calculus when I take other courses in the future such as differential equations, mathematical modeling, and real analysis. Learning does not stop after finishing school. Thanks for the video 🙂
The logic and pattern matching part is so on point. Never underestimate your brains power in this area! I had this strategy when doing electrical engineering problems that I wasn't much interested in of just learning the basic relations between things and rapidly pattern matching through formulae (given a, b, c, what can I calculate that might help to get to d). It's incredible how fast and accurate your brain can get through this stuff even if you don't understand most of the actual topic! - This is obviously not a good way to study in the long term but it showed me the power of quickly recognizing patterns by learning from given solutions/relations, which can absolutely be applied when studying subjects "properly".
@@AKASHSAHOO-gc7px I'd say about average. I had a relatively easy time grasping basic math concepts and working with them. Lower level EE is mostly a lot of algebra (re-arranging formulas) with some complex numbers mixed in. Higher level/uni EE is more calculus/analysis heavy where this approach might not work as well. But I'm definitely not some math genious that has a special intuition for those patterns.
This video just casually popped up on my recommended I think I should give it a shot again and in all seriousness because I was interested in the subject and want to learn it deeply together with physics but because I let myself become discouraged and afraid, I got stuck in a loop where I learn and if I get frustrated I'd just leave it for months and then come back again. I want to do it, I want to pursue it seriously thanks for this video.
Yes!!! I love this video so much. I've experienced this so much so far in college where I do well in my hard math classes and people assume it is because I am just a genius/smart/naturally good at math. The truth is that I was like you and I was terrified of all my math classes in high school. I remember the first time I learned about adding a negative number in elementary school and I cried at the dinner table while my parents yelled at me to just understand because they couldn't explain it. It took me a long time to realize that I started at such a low place in math because I was riddled with fear and not able to consciously process for fear of being yelled at or called stupid. Once I realized this, I started to like math again because I found out it's a field where analytical-type people flourish, and I love the satisfaction that comes with successfully computing a problem. I study the same way as you; I try first to do a problem, but if I don't know the answer I will immediately search up how to do it and learn the correct solving algorithm. I mean, you don't know what you don't know! Everyone starts somewhere, and I'm really grateful you made this video. I relate so much to your story, and I hope that more people come to understand this concept that math is more about practice and patience than natural ability.
Collegiate math is about pattern recognition. Exams don't test your ability to figure out problems, they test your ability to quickly recall the approach to different types of solutions. At the end of the day, it's about knowing which obscure trig identity gets you to the solution. She's right, it's about rote learning and pattern recognition. I suck at math. I have always sucked at math. But I kept from failing out of my undergraduate education by coming to the same realization that she did. Great video
People who used to be bad at math are the best teachers, if good mathematicians knew how off the deep end most of us are they wouldn’t use math terminology or even say “ I knew the solution but tried to solve the problem “ most bad at math have no basic understanding what what that means or why it matters historically
If you can’t explain it to a 4th grader you don’t understand it well enough. Not always the case though for more advanced topics but a good rule to stand by.
the thing is, as a teacher, most children want to know the HOW of EVERYTHING and Math is like a story upside down :) so its difficult. I just approche it as a game! this are the rules, and then you have to play the game :) the end is getting a answer.
This video has my full endorsement: Personally and professionally (learning expert of 40 years). Math is usually taught as: understand the concept first then learn the steps to solve it. Some people learn math better the other way around - as such, those people get frustrated, stuck, and discouraged at the comprehension effort. Those people should try memorizing the steps to solve the problem FIRST then little by little try to understand each step and its relationship to the next step. Additionally; the Feynman technique is powerful. Personally it transformed me from a C- HS student to a college graduate with a perfect GPA.
hi han thanks, for boosting my confidence i am from india currently in my last year btech, in asia one of the oldest engineering college,after entering college suddenly i had lost confidence on maths, but since i started following you, i am improving myself, thanks
Hi Ms Zhango Thanks for sharing with me and others. Whom seem to always struggle with understanding, functional math word problems, even during a few mock exams.
This method works so well!!! went from a D to A in maths cause all it really takes is repetition. After understanding all the basic maths pull up them practice exam papers and TRY. Obviously on the first try you'll be awful so you go through the answers and try to recreate the methodology. Then you store away all of the questions you got wrong for them rainy days and try them again. Keep doing this with practice questions recycling and reusing them. Most people do understand the basics of maths but once it comes to nasty 8 markers that combine a bunch of basics we suddenly get unmotivated.
The most important lesson I learnt at school is to start trying. Even if you're years behind in a subject, start trying with the material you're receiving now. All the material you missed will start falling into place. I was 3 years behind in French and started trying in my 4th year of French. At the end of 4th year, I passed at O'Level with a B. I carried this lesson with me throughout my University studies.
Im gonna try my best listening to you. Only 2 weeks yet my exams, i hope god gets me in the 1-10 position list. Ill update my grade after hearing ut video and points!
1st THANK YOU FOR THE CAPTIONS! 🙌🏾🙌🏾 it makes it muchhh easier to watch & understand | 2nd 2:45 such a great point about active learning. I’ve noticed a huge difference in my students grades when they switch from passive learning to active learning 📈
My biggest advice for anything is low amounts of challenging practice everyday. Your brain learns and adapts over a long period of time not by cram stduying huge loads in a singular day. Attitude and motivation are important and unhealthy practice creates animosity. Learning doesn't need to be terrible, but most people nake it terrible with their approach.
School forces them to. I've found a huge amount of my post-school education has just been unlearning the toxic and unsustainable habits I was forced into just to keep my head above water.
Oh my gosh, the calculus example you gave is the exact situation I am currently in down to a T. I just started university and I have to take Calculus this semester and omg it's the absolute worst. Everyone else seems to immediately understand what's going on but me. I'm an international student too and I don't think I learnt precalculus back in hs and I'm assuming everyone else did. I literally broke down in tears this morning over Calculus, I really want to pass this course so badly but so far it feels like that's not within my gasp. Your study tip on looking at the answers first for a question made something click in me and I'll apply that to my studies so hopefully that'll help
I love you ❤❤❤❤❤❤…. Thank you so much for your hard work making this video. I’m crying watching this. Because i’m at my lowest point in my study, i felt so left out and lost to anybody else….thank youuu…you don’t know how much your video saves and encourages me ❤
My algebra 2 teacher told me I needed to take algebra 1 this year so i could “relearn” the basics😭 theres no way im gonna be a junior taking a math class for freshmen
Definitely a lot of good advice here. My masters degree is in applied mathematics and operations research from the technical university of Denmark, and its interesting to see how many of your experiences mirrors my own. Doing, while reading was a major breakthrough for me, because until you actually do it, and see how much easier you absorb and understand by doing it, it will likes a lot of wasted effort. For example when I did my introductory courses on optimization algorithms, actually programming and animating the the algorithms, made a lot theorems that seem like archaic magic, become instantly intuitive. Really good video.
I LOVED your video! You are giving me hope of "understanding" math. I am highly skilled at English, but my math skills are nowhere nearly as good. I am going to apply the methods you have suggested! 😊
Best approach in order to self study. What i do is that i use a pdf math textbook, i use their exercises, and if i cant do it, i use a math app in order to get the steps, and slowly i learn the process and i stop using it! Thanks for your approach, i really think that this ways of learning is more than enough for learning, and always work smarter, not harder!! thank you :)
What a heartwarming video! This is so similar to my own story, and this is the advice I give other people. I changed my major to Math in college when it finally "clicked" for me too.
The most effective way to learn math is sit 1 hour a day isolated, don't ask any one just keep on doing more and more problems. You suck one day, two day but eventually you learn math. Most people find math hard because they don't know basic rules (like when to add subtract multiply, laws of indices etc.) Remember, patience in the key just follow the rules of math and move on with the problem.
I trust Han because she's a Math and Ops major from Columbia. Light-hearted teasing aside, this is a great guide on the healthy mindset in studying the field of mathematics. Thank you for the wholesome in-depth walkthrough!
honestly can relate to you in your first explanation about failing math and looking dumb whenever I ask others, I'm in the 10th grade and I honestly feel hopeless anyways thank u so much for this video ♥ it helps ♥
i used to be you! i'm in the 11th right now and i was struggling for a while to keep my grades up, but i realized that the time that you spend doing nothing, like scrolling or just laying down can be used to solve math problems. even if you only solve one problem a day, that's still 365 problems in a year. you can do this!
I’m in 10th grade, I’m not bad at math but I do overthink and skip a few steps in math equations, I’ve realized my weakness was 6th grade and up math equations so I’m deciding to relearn math, your not alone
@@神名18is u too! thank you so much😊 also I feel like I've improved so much ever since I took Gad more seriously anyways u got this 😁 sorry for late reply
I found you while I was desperately searching for answers. I’m going to be a dad and I’m really trying to get through college to be an engineer. You have helped greatly.
Let go of the desperation. Answers are always fleeting when you’re desperate. Slow down breathe DEEP and just be. Look at each step methodically try and break it down to its simplest form. If you can’t accept that and move on. Most of engineering is building on other understandings. Learning is a lifelong process. BEST of luck dad !!! THAT is the MOST important part !
You see my problem is I am good at everything you say and I am so good at understanding it in class but when I do the homework it is similar to this In class: a^2 + b^2 = c^2 Homework: Tanisha is filling a sphere 87% filled with water while traveling 77 miles per hour on the highway. Calculate the wind resistance thats slowing down her car and find what % of the suns gravitational pull effects her speed Like wtf 💀 this is literally nothing we done in class. What does this have to do with pythagorean theorem and where the hell did we go over calculating wind resistance and the suns gravitational pull. And this isnt an exaggeration, yes I made it up but my homework is as ridiculous as this example
Something I learned in the first year of the Math Degree is that maths are hard almost by definition. No matter how good you get, there will always be a problem that will far exceed your capabilities (even if you are Terence Tao). But if you ask me, this is good, since it means there's no limit to how much one can improve in mathematics. ✨️🔥
I hated the way math was taught in school, it frustrated me. My father showed me his "old fashioned method" & I understood it instantly. However, had to turn in the long method of division, etc to school. Enjoyed algebra though. It was, to me, like putting a puzzle together. Now that I'm older & don't have to bow to a school method, I'd like to revamp my math skills. I liked how you explained things. I also appreciated the fact that you shared how you struggled. Thanks so much for sharing.
Watching this video made me feel like I can do math. Thank you for this logical motivation, which gives me faith that everyone can become good at math with the right techniques.
❤I created a Free Math Study Guide that includes my 4-Step Learning Framework + Free Online Resources: hanzhango.kit.com/ea3df74901
thanks I'm trying to get my GED, and all I have is math. I took it yesterday and was 1 point away from passing was really frustrating!
Have you thought about creating a series to cover high level math subjects such as partial differential equations, etc? You would probably consider picking a few questions across different difficulty levels and this way you show case to your audience how this practical active learning can help anyone learn difficult subjects. Just thinking out loud…
wow great. Please support me. Thanks in advance♥
You must be fast while calculating
What I hear, I forget. What I see, I remember. What I do, I understand.
This is me to a T!
thats why I dont understand sex
And my maths teacher is like "do these questions, and if u can't, idc ."
@@JikoAmonus💀
@@JikoAmonus drake will make you understand in a few moments
I LIKE HOLDING MIC WITH FORK 👍👍👍
I like using ALL CAPS.
@@qbtc XD
I realize that just at the end of the video, that explain why my brain is slow for maths :v
@@pedrolopezchavarria8515 ua-cam.com/video/oFcQcmZJQ_k/v-deo.htmlsi=JGwivH0fjSa0sMlP
to prevent stabbing herself?
Honestly didn't need the advice but just the reassurance and comfort of knowing I'm not stupid 😭
@@Torocattt I don't know how you're relating yourself to me since you seem to be saying that math is easy for you and that you love it but alright 😭 7th grade is about 13yo I think right? What're you learning rn? :))
Sameee 🫂
@@Torocatttgirl, u might good at math, but not a good listener nor reader.
@Abcdghii I'm learning about angles, transversal, alternative interior and exterior, co interior and exterior angles etc etc, pretty easy but just a bit confusing, I got my half yearly marks and I got a 75/80 !! :) (dumb mistakes lol)
@@Torocattt I didn't understand any of this (I'm not learning in English and also don't go to school haha) but you seem to know what you're talking about!! I'm also doing angles n stuff, trigonometry 😮💨 How are you doing in other subjects? :D
I have such a genuine love for learning. As someone who graduated from high school with a super low gpa, and had no confidence in math. I can now say I am pursuing a degree in engineering and gaining confidence I have never had before. If you're reading this, DO NOT DOUBT YOURSELF. You are capable of everything you dedicate yourself to. NOTHING is difficult, you are just not used to it.
Thank you so much, i really needed that ☺️💘
I’m so happy for you!!
That's inspiring. I wish you the best. Thank you!
Give it up unc 😭
Came for the math, stayed for the microphone on the fork
i was searching for this comment😂😂
😂
Trying doing THAT with chopsticks :-)
i learned three things in this whole 15minutes,
1. don't try to solve a problem if you can't think of an approach before starting.
2. Keep yourself familiar with the problem like keep practicing until you automatically solve the problem before thinking of any approach(1st one), as you do basic calculations.
3. if you want to believe and stay confident and motivated you need to first start from the basics.
-----correct me if i missed anything. Thank You!
Thanks , hopefully ill be able to pass my calculus class this semester 😭🤍
and the most important thing - PRACTICE
I learned that you can use a fork as a microphone.
@@jeread5193 true 😂
@@Tearfulmelodiesplease pass for me brother and exit the building with Joy and tell me when it happens
Godspeed brother 🙏
It was David Hilbert who famously said nobody ever understands math you just get used to it. He was a top mathematician/ professor in the early twentieth century.
can't argue with guy that has his own class of spaces, polynomials, series, and schemes.
Same with Quantum Mechanics
@@Grassmpl except for the fact that he's just plain wrong on that note
you can understand it. its true, which means there is something there that can be understood
this is different from just being able to do the math by resorting to using true facts (e.g. pythagorean theorem), and building up on those
but if you truly understand math then you can create everything from scratch, on your own, if you were alone on a desert island and no internet
This sentence is from von Newmann.
Yes of course you can, but trying to understand math us wayy harder than just doing it, which sounds wrong, but you would see that people that are good at math dont understand it, if you go to a school and ask the prom what does an X elevated to the power of two means, maybe 1 or two students will answers you, but if you give them a cyadratic equation they know how to solve it
the worst part is that i would constantly be tempted to look at the answer key which obviously didn't help 💀 good luck in maths, everyone!
The point is to understand the concept and theory the questions want you to know, it doesn't matter whether you can solve the problem by looking at the answer or not!
Looking at the answer is actually rlly helpful in understanding how you do it
@@thegunner7887 This is actually solid advice
there's kind of two sides to this. Sometimes it can be really helpful to reverse-engineer the solution after looking at the answer, but you also want to build your critical thinking skills. Becoming overly reliant on having the answers in my experience makes you check out when you don't know what to do on a hard problem, but an important part of being good at maths is having the ability to persevere through being stuck and trying different things.
If you want to learn maths as a set of tools you can use in everyday life then you probably just need to know how to apply existing theory, but if you want to have a deeper understanding and be able to solve new problems you need to practice finding a way through not knowing what to do.
I was humiliated in school for being math illiterate. I wish to learn from scratch again teaching myself to help resolve the anxiety and hurt it has caused me. I find this video motivating. Thank you!
I'm rooting for you 🤟
How are you doing so far
your not alone; me too
I was viciously bullied- mentally and physically, by my math teacher. Humiliated in front of the class every day. I started skipping math class, and it got worse of course, but then I was suspended and my mom transferred me to another school.
Best thing that ever happened in my childhood!
I was actually very smart in Accounting, in all languages (I was the top student), and I was excellent in practicals like Sport, Woodwork, etc..
The damage was done though. I was a popular, outspoken, energetic, talkative, loud and outgoing kid, before that- basically a jock, but I wasn't an a-h0l3. (and I loved math- because I was good before my 5th grade) and had so many dreams, but after that year and a half, I changed.
I became an introvert and today- 25 years later, I'm a hermit and soft spoken. I'm afraid of people and rarely interact with anyone. I am haunted by what people think of me. I know it's silly, but I can't get over it.
I hope that person burns in h_.
I still hate math.
Do it! I did the same thing and now I’m getting a math degree
You have no idea how valuable this presentation was for me. This perspective changed everything!
This is crazy.. I stayed up all night doing math problems, just got done and decided to hop on yt before I go to bed only to see this as my first recommended video. It is 7:41am right now for context lol
gawd damn, the grind is real
you're basically doing hours of work for nothing since staying up fucks with your hormones (dopamine levels cannot be regulated and testosterone dips badly)
your vision and digestive system take seat back to compensate (you won't digest very well and your eye will tire and dry out faster)
you lose muscle mass since there is no repairing or building only breaking down
cramming has been proven to not work, it's way better to use spaced repetition and active recall
Please don't do this again, it's not worth it as you're not even making $ doing it
@@francisco444 for clarity I am not studying or in school and do math as a hobby. Your advice is still valid though.
lmao,same
that's crazy XD
@@crazytimesman it's rare to meet those who do math as a hobby. I wish you the best with it! just don't stay up too late, it must be fascinating though :)
This is so relatable. I'm bad at math. But I've managed to get a bachelor's in physics and the technique you're talking about of initially giving up on the hard problems and then walking through its solution really works like a charm! I did that significantly and my math improved quite a lot.
Also giveaway one ipad to me as well, thanks!
@@syedanaushabinzakirkhan20p50 Hey there! Would you mind giving some more tips how you studied and got good grades for math during ur physics degree? I'm thinking about studying physics but I'm scared of failing math. Your help would be very much appreciated :)
@@iiSxmz Hi! I can totally understand what you are feeling.
From very early on I was interested in physics, I knew I had to make a career in it. The only problem was math. But gradually, in my highschool I tried making friends with math, what I mean by that is I practiced as much as possible and I focussed on the logical part, the memorisation part is a) not necessary, b) comes along for a ride if you practice enough.
So, the moral is 1) Don't be scared of the problem, just in the back of your head remember that if there is a problem there surely will be a solution.
2) Practice makes perfect.
3) You can't necessarily solve all the problems, you can skim through the solution of a significantly hard problem and deal with it later.
I hope this helps and good luck with your physics career!
@@syedanaushabinzakirkhan20p50 Thank you so much for this! You're giving me lots of hope👐
You obviously aren't bad at math
My teacher had convinced me that nothing could improve my chronic mathophobia. But thank god youtube had faith in me and recommended this. Thanks Han ❤
Nothing will keep you from understanding like your own fear of not understanding.
tbh same with music really…
Your teacher sounds like an a hole
@@brownie_09 Barbara Oakley, an engineering professor who also had a math phobia has a free class on coursera called ‘learning how to learn’. She has authored books as well on everything to do with math.
@@Kate1427 Thanks for the tip! Def will use :)
Good math student = Memorize and copy
Good mathematician = Deeply understanding
I love you.. im still in high school and I’ve been struggling with my math and my math lessons aren’t helping too so I just gave up but I came across this video and you just gave me so much motivation! I’ve talked to my teachers and they’re moving me to a higher class for better understanding! I def use your your tips when doing math ! I never really studied math before but your passion and knowledge makes me rlly inspired!! Thank you I’ll keep you updated if I did it ! My exams r in 2 weeks wish me luck !
This video is so funny to me because I used every tip(+ a lil bit more) in this video to study when I was in my senior year of high school, but somehow I disregarded or forgot about them once I got to university. Now, as I'm self-learning code and math for computer science, I'm looking for ways to study efficiently and stumbled upon this video and as I am listening i realized, wait a minute, this sounds familiar. Damn. Thank you for this-I don't think I would have remembered these tips without your video.
I'm in the same situation
Here’s how my son got good at math: Practice, practice, practice.
I bought him an older edition of his calculus textbook because I could also buy the complete teacher’s solution manual. He didn’t really use it during the first semester. Consequently when second semester began he didn’t have confidence about his first semester knowledge.
So my son proceeded do Calc I all over again by doing every problem in the book.
At first he would get most of them wrong. But by having the step-by-step solution to every problem he soon discovered that some of the concepts had had wrong and that he had a tendency to make the same “mental” errors such as not paying close attention to negative signs.
But the bonus learning thing for him was by seeing the methods professional mathematicians used step-by-step, it taught him how to employ the same patterns of problem solving. In just one semester (although it required two hours every day for the entire semester) he taught himself how to be good at math.
Now people think he’s a kind of math genius. Calc II and III and differential equations were easy for him.
You don't realize how much you have improved his life!! Everyone should have such supportive parent like you
I concur. I did not have advanced maths at undergrad (example differential equations). I found an engineering maths book because they are practical and come with solutions. By looking at the steps, I found patterns that often appeared (and I like finding patterns to solutions) and things began to click; in fact I thought of taking an advance class in math but for the way lecturers teach it: it put me off.
Everything can be achieved with tons of practice. But that's the thing. PRACTICE is hard to achieve and do lol. It takes an incredible amount of motivation and mental stability just to focus on practicing and practicing. Practice is hard
Pattern recognition, thats how we learn.
Whats textbook called of the older edition you got for him? And the teachers solution manual
YES!!!! This is what I tell everyone. Just practice and you’ll be okay
But they want to rap, not do math. Pretty much kills them to lift an academic finger.
all bout da reps
man i wish this worked for me
@@burntbagels27 break down problems till they feel managable.
Usually issues with understanding are tied to complexity
Thank you so much for this video. I’m an older person trying to learn algebra for myself because I believe it will help to keep my mind sharp. The information and your point of view in this video helped me. PS ~ I love your mic. Very creative.
0:34 this exact frame is me anytime I’m learning new things 😂😂 great video
as someone who is considered good at math, I agree. I literally do not understand how I know what to do or why, I just know what to do next. the more I focus on why I know what comes next, the more I confuse myself. it’s actually really difficult for me to explain math to someone because i start confusing myself when they ask questions like “how” or “why”
Same. After 10th class when I was in 11th and 12th I struggled a lot with advanced problems of any topic.(In India jee entrance exam has crazy difficult math)I tried the methods in various youtube videos about learning how to approach a particular problem but then I would remember that for my entirety of time till 10th I would just somehow know what to do and not think about the approach as much.
For now I am in college and it seems like I have gotten back my talent of knowing what to do in every problem subconsciously.
Bro math has sucint proofs that you are meant to know to exercise math. they are in the textbook explained most likely
I'd argue that it's important to understand the hows and whys if you want to go far in math, but there is some merit in taking things at face value just to get through certain parts until you do understand things more deeply.
On some level, the more basic the concept is then yes there's not but so much to explain as to why even if you tried...but the more advanced concepts are built upon a collection of those fundamental basic concepts.
I believe if you want to become really high level, it is necessary to know all the underlying proofs and details of the maths you practice. For succeeding in school, which doesn’t have creative or ingenuitive test problems like the olympiads, just applying what you learn at a face value will be enough.
I wish I could just let go of the need to understand every step, and just learn what comes after. As such, I almost understand every step, and the why and how behind it, but I don’t recommend it😂
Honestly, thank you for this! I'm a middle school math teacher getting ready for my middle school kids to come in and learn math! I will show them this video during our orientation next week. Mostly because you clearly are really good at math if you graduated from Columbia with a math degree. But you actually had the SAME STRUGGLES that my gen ed and SpEd kids have. So seeing YOU, of all people, having the same problems they encounter with math will be gold. Thank you for this marvelous content!!!! Also they'll relate to the fork/mic thing you have going on there. It humanizes you! ;)
The feyman technique actually works. I remember being in 8th grade and I wasn't rly a good student, always had low to medium grades. I was studying for a Cience test and I just happened to be so bored that I pretended to speak to an audience using the mirror in my room. I liked it so much i just kept doing it. Test day comes along I got a 98/100, highest grade I've ever gotten. Since then I just kept doing it without knowing that it was a technique.
I agree!
It’s nice to hear that when times got tough, you chose the right fork in the road.
Excellent. I've always used this technique in almost all skills I need. Coding, languages, drawing, painting, complex knot tying, musical instrument, exercises, cooking, etc. Start with what you what you know is right, then train, repeat, and perfect how to get there. Develop the habits until they are rote.
Ok, but that mike though...
Who's Mike??
Mic*
Where's mike?
@@argo8276probably in my basement...👀
Jugaad..😂😂
To be brutally honest with you might just be the most useful video i have watched in a while i just knew math was this way but did not accept the reality of it. However when someone else feels the same about it, it just shows that its you who has been limiting yourself. So thank you 🙏🏻
" brutally "??
In this case the phrase brutally honest is out of place. It's used to prepare the reader for hard or even offensive truth/ observation. But you just said something very tame and normal, far from offensive. Hence the opening phrase being odd and out of place.
My brain said what you said but inside it
Great advice! Im going to highschool and im so bad at maths and your words made me feel confident I hope anyone going through a rough time in school will overcome it and pass , praying for all 🙏
Same bro
Thank you sooo much Han!.
Just before this video, i was reviewing on some math topic i had last school year which i had ALOT of trouble with.
There are some lessons i remember and can do decently, but most of them are wack, so i just completely gave up and spiraled into this overwhelming feeling of self-doubt.
This video legitimately came on to my fyp, so i had to give it a click. And now i feel like it all makes sense, thanks han for the solid tips!
Han, you are a true genius. Big respect to you for being able to analyze your experiences and feelings into gaining the control and achieve success. I wish all young people see this video. Chapeau
Thank you for this insightful video! Your tips on how to study math effectively are game-changing. I've already started applying some of your methods and can see a difference in my understanding and retention. Keep up the great work!
"Young man, in mathematics you don't understand things. You just get used to them." - Von Neumann.
Von Neumann, who was famous for having incredible abilities in mental math. The seminars he was in would just rely on him to crunch numbers like a modern scientific calculator.
That is one of the silliest things von Neumann ever said. It's terrible advice in general, it's particularly bad in mathematics, and it's not how von Neumann did things compared with other people. He definitely understood things other people didn't. Yes, he also calculated rapidly, but we don't remember a million other people who also calculated rapidly without understanding (computer used to be a profession), we remember von Neumann for contributing his understanding of the fundamental structure of many things from game theory to set theory. It does make good clickbait, I guess, and a lot of people who don't understand mathematics will applaud, but it's not a step forward at all.
@@douglaszare1215 You understood the sentence in the most wrong way possible.
@@lucasrinaldi9909 Please, elaborate then on the correct way to understand it.
@@douglaszare1215 I'm majoring in math at Duke and I can try to explain what I got from the quote. Learning math is a constant and perhaps frustrating struggle but the satisfaction from a concept "clicking" is unparalleled. In some sense I might be addicted to math due to that. But, you never know when a concept will click, and you just carry on, sometimes with your understanding still at a rudimentary level, and sometimes in understanding a more involved theorem you realize the importance of a prior lemma. A professor of mine once said in math you can't wait to explore every possible nook and cranny of a foundational chapter/intro to a topic before you move on. You can't wait until your intuition is fully built before progressing, otherwise you will never make it too far. I've known linear algebra for more than 6 years now, and yet if I'm helping someone learn some concept, or looking through an old book, sometimes I'm still hit with a "wow, cool" feeling if I see things through a different perspective. I first learned analysis in 2022. It's been 2 years now, but I am still getting new insight from time to time. I'm currently taking algebraic geometry. It is CHALLENGING and my understanding is as patchy as the schemes we're learning about. Some people say it took them 4 passes through the subject to understand it truly well.
So, all in all, in math you're never in a state of understanding. I guess this is the idea of mathematical maturity. Insight might come eventually, but until then you're just applying definitions and hoping (I STILL have a hard time with the Lie bracket and it's been 3.5 years now...).
05:14 Better than checking the answer key: Compare the final result to the original problem. Plugging variables back into the original equation works well in Algebra especially. Doing this by habit makes exam scores go up, because there will be no answer key. In real world uses of mathematics there won't be an answer key, so checking the work should be part of the process and the last step of the process. Done with habit, this gets to be as automatic as following the algorithm is.
I appreciate this video. Currently I am on my first year of college and even though I did great on my first math exam I am currently struggling trying to figure out how I will be able to learn all the new concepts for my upcoming math exam. I feel much better after watching this video, thank you!
YES!! I’m glad someone is sharing the key to learning. Just look at the answer and then try on your own. I aced chemistry by going through all the exams I could find with solutions. I got really good
I spend HOURS studying math, and a week later I can't remember anything I understood just a moment ago. I have developed my technique for learning by looking up the answer to an equation, writing it down, and then thinking HOW to get to that number. I am not sure, however, that this is an effective technique.
Math is super frustrating for me, to this point when I'm literally crying over simple things. I always have to write down every number, while my friends just calculate them in their heads, which is really depressing.
Thank you for help! I'm for sure gonna try everything you said in your video.
That’s a terrible and inefficient technique. Go to simpler problems, learn how they are solved and the reasoning. Practice them a lot and then build up from there
I can feel you....just few days ago I practised so damn hard only to get blank on exam it's so frustrating idk what to do..
Ahhhhh I feel you~ 😭
Same😭😭😭😭
Time on task. No Royal road to learning
I might probably be a child when comparing with Han ( and more in comments ) at Mathematics, but Im studying Combined Mathematics, Physics and Chemistry for the 2026 GCE AL Examination. Your videos helped me to start learning Mathematics and work according to proper manner ( Definitely not a time table) . Im in love with Science and Mathematics and I spend nearly all the day studying these 2 beautiful subjects.
How do you understand mathematics
@@KaitlynChihuahuaFan What? I don't get it.
@@okithdesilva129 pls help I need math tips I don’t wanna fail eighth grade algebra💀🙏
I can’t thank you enough for sharing your story, and your advices.
What you lived with maths in high school is word for word what I went through.
As an adult, I’ve decided one year ago to learn maths from the ground up, I found a very good private teacher, yet I am still often scared of practicing and judging myself to hard..
My dream is to successfully study Computer science in college… I’ll come back here in a year or two to give an update on my journey:)
To all the people out there struggling: You’re not alone, do not give up !!
You’re worthy of studying maths, give yourself time, and allow yourself all the questions which come to you !
I believe in you! You’ve worked so hard to improve at maths and it sounds like you have exactly the type of help you need. Working from the basics onwards helps so much! Maths builds on itself so making sure you have the foundations will take you a long way 💕
@@EmL-kg5gn I am so grateful that you took the time to write back, your words of support mean a lot !! I'll keep them close for the rest of my journey !!
All the best to you !!
@@NekoChonk All the best to you too!! I’m so excited you’re finally getting the chance to actually learn maths 😊
I'm unsurprised that your video has 2.5 thousand comments in just five months. First of all the fork and the microphone - brilliant - especially when you mentioned that you felt like stabbing yourself with it at times! I did not turn to university modules until I was in my late 60s but I had the same problem as you in your high school days. Anyway, I still love watching videos with math problems, and to be honest, it's young people like you, who give the soundest advice. Great video with very sound advice. And the fork - very innovative.
Your method actually works! Thx so much, since 5th grade I couldn't understand math questions but now I kinda starting to understend evetything
Math is the kind of field that literally rewards people for not understanding what they're doing but for knowing what the next rule is.
Not necessarily, having a deeperer understand and intuition can be extremely useful in math.
The only way to come to this conclusion is to never take a proof-based course, not even geometry at school. Mathematics is born when intuition and rigor are reconciled. If you don't have a good intuition, you won't even know where to begin proving non-trivial results, nor will you be able to come up with plausible conjectures, but if you aren't rigorous with it you will inevitably overlook some edge case eventually.
@@pavlosurzhenko4048 The problem is HOW math is taught. Math, in and of itself can be approached from myriad directions. But the pressures and constraints of the average public school prioritizes fast completion of problems over in-depth understanding of the relationships. That is why many teachers fall back on shortcuts and tricks that leave gaps in students understanding of procedures.
Currently taking calculus 3 at my school after having taken Calculus 1&2 back in 2020 - yes it’s taking more time trying to catch up but the intuition I built in Linear Algebra & general math tutoring is somehow helping. It’s super frustrating when I have to start intuition from scratch.
This isn’t true for high level math.
This video was exactly what I needed to understand this topic better. The way you broke everything down into simple steps made it so much easier to follow along. I’ve been struggling with this concept for a while, but your explanation made everything clear. I appreciate the effort you put into making learning accessible and enjoyable. Thank you for sharing your knowledge and helping students like me succeed! 🙌📚😊
Hello, i'm so glad I found your video. I had a similar experience in high school and had this "math anxiety" because every time I was confused about a topic, my teachers made me understand that I was "too slow" or they didn't had the time to help me, and it's so comforting to see people with similar experience. Also I believe that they teach math mostly to train our logic and what you said about practicing also applies to other scientific fields like biology, chemistry or physics.
Your video is really helpful because i'm about to study biology in uni and was "scared" to do maths or maths like subjects, and now with this new methods, it seems less complicated, so thanks you for the advises.
Also for all people struggling with scientific topics, your not dumb, most people don't even try because they think they can't do it and you are trying so it's already a victory somehow. And you are not alone, so keep working hard and improving and it will be worth it in the end !
Thank you for reading, here is a potato :
🥔
I love the fact that you're so clear and straight forward. Nice work
Thank you for breaking it down so clearly! The car driving analogy really hits the mark-such a great way to explain the difference between passive and active learning. Super helpful for mastering anything!
Looking up the answer and step by step-by-step approach to a problem that I have no idea how to solve, then using what I've learned there to walk me through subsequent problems, has been my approach to doing calculus lately. Since then, my progress went up rapidly and now I should be done with it in a week or two. As for understanding, I agree with that also; the explanations of how to do a problem help me understand the logical steps to solve other problems on the same topic. I also stopped obsessing on getting an A+: If I study and practice effectively, I'll get a good grade.Moreover, I realized there will be plenty of opportunities to further solidify my understanding of calculus when I take other courses in the future such as differential equations, mathematical modeling, and real analysis. Learning does not stop after finishing school. Thanks for the video 🙂
The logic and pattern matching part is so on point. Never underestimate your brains power in this area! I had this strategy when doing electrical engineering problems that I wasn't much interested in of just learning the basic relations between things and rapidly pattern matching through formulae (given a, b, c, what can I calculate that might help to get to d). It's incredible how fast and accurate your brain can get through this stuff even if you don't understand most of the actual topic! - This is obviously not a good way to study in the long term but it showed me the power of quickly recognizing patterns by learning from given solutions/relations, which can absolutely be applied when studying subjects "properly".
You care more about the outcome than understanding the topic. I know that's the way to get good grades but it feels so gross and fake to me.
@@aquarock-fq2lmI don't. That's precisely why I said it's an efficient but not a good method to study...
@@cybroxdewere you good or bad maths when you were studying electrical engineering 😮
@@AKASHSAHOO-gc7px I'd say about average. I had a relatively easy time grasping basic math concepts and working with them. Lower level EE is mostly a lot of algebra (re-arranging formulas) with some complex numbers mixed in. Higher level/uni EE is more calculus/analysis heavy where this approach might not work as well. But I'm definitely not some math genious that has a special intuition for those patterns.
This video just casually popped up on my recommended I think I should give it a shot again and in all seriousness because I was interested in the subject and want to learn it deeply together with physics but because I let myself become discouraged and afraid, I got stuck in a loop where I learn and if I get frustrated I'd just leave it for months and then come back again. I want to do it, I want to pursue it seriously thanks for this video.
Yes!!! I love this video so much. I've experienced this so much so far in college where I do well in my hard math classes and people assume it is because I am just a genius/smart/naturally good at math. The truth is that I was like you and I was terrified of all my math classes in high school. I remember the first time I learned about adding a negative number in elementary school and I cried at the dinner table while my parents yelled at me to just understand because they couldn't explain it. It took me a long time to realize that I started at such a low place in math because I was riddled with fear and not able to consciously process for fear of being yelled at or called stupid. Once I realized this, I started to like math again because I found out it's a field where analytical-type people flourish, and I love the satisfaction that comes with successfully computing a problem. I study the same way as you; I try first to do a problem, but if I don't know the answer I will immediately search up how to do it and learn the correct solving algorithm. I mean, you don't know what you don't know! Everyone starts somewhere, and I'm really grateful you made this video. I relate so much to your story, and I hope that more people come to understand this concept that math is more about practice and patience than natural ability.
Collegiate math is about pattern recognition. Exams don't test your ability to figure out problems, they test your ability to quickly recall the approach to different types of solutions. At the end of the day, it's about knowing which obscure trig identity gets you to the solution. She's right, it's about rote learning and pattern recognition. I suck at math. I have always sucked at math. But I kept from failing out of my undergraduate education by coming to the same realization that she did. Great video
People who used to be bad at math are the best teachers, if good mathematicians knew how off the deep end most of us are they wouldn’t use math terminology or even say “ I knew the solution but tried to solve the problem “ most bad at math have no basic understanding what what that means or why it matters historically
If you can’t explain it to a 4th grader you don’t understand it well enough. Not always the case though for more advanced topics but a good rule to stand by.
the thing is, as a teacher, most children want to know the HOW of EVERYTHING and Math is like a story upside down :) so its difficult. I just approche it as a game! this are the rules, and then you have to play the game :) the end is getting a answer.
@@EeriicaaBaakaal wow holy hell! Gamification of math seems like an amazing idea
This video has my full endorsement: Personally and professionally (learning expert of 40 years).
Math is usually taught as: understand the concept first then learn the steps to solve it. Some people learn math better the other way around - as such, those people get frustrated, stuck, and discouraged at the comprehension effort. Those people should try memorizing the steps to solve the problem FIRST then little by little try to understand each step and its relationship to the next step.
Additionally; the Feynman technique is powerful. Personally it transformed me from a C- HS student to a college graduate with a perfect GPA.
hi han thanks, for boosting my confidence i am from india currently in my last year btech, in asia one of the oldest engineering college,after entering college suddenly i had lost confidence on maths, but since i started following you, i am improving myself, thanks
Konsa IIT ?
@@tusharsharma5053 it's coep in maharastra it was built around 1854
Hi, I am from hong kong student ,thank you for share how to correctly to learn math and I also usage your vedio to practice my English language ❤❤❤
Hi Ms Zhango
Thanks for sharing with me and others. Whom seem to always struggle with understanding, functional math word problems, even during a few mock exams.
thanks for keeping it post, Han Zhango. You are a light in this dark universe
Practice so much it becomes your second nature excellent advice
Thank you han
This method works so well!!! went from a D to A in maths cause all it really takes is repetition. After understanding all the basic maths pull up them practice exam papers and TRY. Obviously on the first try you'll be awful so you go through the answers and try to recreate the methodology. Then you store away all of the questions you got wrong for them rainy days and try them again. Keep doing this with practice questions recycling and reusing them. Most people do understand the basics of maths but once it comes to nasty 8 markers that combine a bunch of basics we suddenly get unmotivated.
The most important lesson I learnt at school is to start trying. Even if you're years behind in a subject, start trying with the material you're receiving now. All the material you missed will start falling into place. I was 3 years behind in French and started trying in my 4th year of French. At the end of 4th year, I passed at O'Level with a B. I carried this lesson with me throughout my University studies.
Im gonna try my best listening to you. Only 2 weeks yet my exams, i hope god gets me in the 1-10 position list. Ill update my grade after hearing ut video and points!
1st THANK YOU FOR THE CAPTIONS! 🙌🏾🙌🏾 it makes it muchhh easier to watch & understand | 2nd 2:45 such a great point about active learning. I’ve noticed a huge difference in my students grades when they switch from passive learning to active learning 📈
My biggest advice for anything is low amounts of challenging practice everyday. Your brain learns and adapts over a long period of time not by cram stduying huge loads in a singular day. Attitude and motivation are important and unhealthy practice creates animosity. Learning doesn't need to be terrible, but most people nake it terrible with their approach.
School forces them to.
I've found a huge amount of my post-school education has just been unlearning the toxic and unsustainable habits I was forced into just to keep my head above water.
I can’t stress enough how important this video is to me. It s about the itching self doubt you can’t scratch. Thank you!
You got this🩷
Oh my gosh, the calculus example you gave is the exact situation I am currently in down to a T. I just started university and I have to take Calculus this semester and omg it's the absolute worst. Everyone else seems to immediately understand what's going on but me. I'm an international student too and I don't think I learnt precalculus back in hs and I'm assuming everyone else did. I literally broke down in tears this morning over Calculus, I really want to pass this course so badly but so far it feels like that's not within my gasp. Your study tip on looking at the answers first for a question made something click in me and I'll apply that to my studies so hopefully that'll help
I love you ❤❤❤❤❤❤…. Thank you so much for your hard work making this video. I’m crying watching this. Because i’m at my lowest point in my study, i felt so left out and lost to anybody else….thank youuu…you don’t know how much your video saves and encourages me ❤
Love the fork microphone. Quite entertaining.
0:40 Just started watching the video, TOTALLY RELATABLE 💀, my teacher rather makes fun of me lmao
What kind of teacher is that..sorry that had to happen to you
Same :(
Same😂🎉
As one who trained teachers, that is not acceptable.
My algebra 2 teacher told me I needed to take algebra 1 this year so i could “relearn” the basics😭 theres no way im gonna be a junior taking a math class for freshmen
My wish complete ✅ thankyou so much. I am. So happy because of you 💗
Aww much love❤️
Can I get Hanzhango's number
Definitely a lot of good advice here. My masters degree is in applied mathematics and operations research from the technical university of Denmark, and its interesting to see how many of your experiences mirrors my own. Doing, while reading was a major breakthrough for me, because until you actually do it, and see how much easier you absorb and understand by doing it, it will likes a lot of wasted effort. For example when I did my introductory courses on optimization algorithms, actually programming and animating the the algorithms, made a lot theorems that seem like archaic magic, become instantly intuitive. Really good video.
I LOVED your video! You are giving me hope of "understanding" math. I am highly skilled at English, but my math skills are nowhere nearly as good. I am going to apply the methods you have suggested! 😊
You give me that elder sister advice which I need for studying❤
real
1:09 just noticed the fork😂❤
Fr me too
Me noticing at 5:24 that Han is using a fork to hold her mic:
😂
My girl's efficient lol
Best approach in order to self study. What i do is that i use a pdf math textbook, i use their exercises, and if i cant do it, i use a math app in order to get the steps, and slowly i learn the process and i stop using it! Thanks for your approach, i really think that this ways of learning is more than enough for learning, and always work smarter, not harder!! thank you :)
What a heartwarming video! This is so similar to my own story, and this is the advice I give other people. I changed my major to Math in college when it finally "clicked" for me too.
Why I could not avoid to focus on.... fork!!!
lol, just kidding
please keep doing clips.
Many thx
The most effective way to learn math is sit 1 hour a day isolated, don't ask any one just keep on doing more and more problems. You suck one day, two day but eventually you learn math. Most people find math hard because they don't know basic rules (like when to add subtract multiply, laws of indices etc.) Remember, patience in the key just follow the rules of math and move on with the problem.
10:05 yeah exactly! Teaching is the best learning!
OMG this made me feel so much better about math - thank you for posting. It means a lot :3
You know what your tips for making math easy is soo good when I did that I felt that yes I am doing good in maths 😌 and thanks to you for the tips 😊 ❤
Mic holder was lit 😂
That pen spin at 1:15💀
I was watching the same thing 😅
4:38 this is good idea for me thq so much 😊
thank you for voicing my current condition TT feeling blessed to watch this vid. Thanks Han!
I trust Han because she's a Math and Ops major from Columbia. Light-hearted teasing aside, this is a great guide on the healthy mindset in studying the field of mathematics. Thank you for the wholesome in-depth walkthrough!
honestly can relate to you in your first explanation about failing math and looking dumb whenever I ask others, I'm in the 10th grade and I honestly feel hopeless anyways thank u so much for this video ♥
it helps ♥
i used to be you! i'm in the 11th right now and i was struggling for a while to keep my grades up, but i realized that the time that you spend doing nothing, like scrolling or just laying down can be used to solve math problems. even if you only solve one problem a day, that's still 365 problems in a year. you can do this!
@@神名18is tnank you ♥ and I'm very very positive that with a mindset like yours you'll definitely get where u wanna ☺ 😉
I’m in 10th grade, I’m not bad at math but I do overthink and skip a few steps in math equations, I’ve realized my weakness was 6th grade and up math equations so I’m deciding to relearn math, your not alone
@@神名18is u too! thank you so much😊 also I feel like I've improved so much ever since I took Gad more seriously anyways u got this 😁 sorry for late reply
@@Brusmite-dy9rr 😊🧡
3:13 Excellent Analogy
Becoming good at math ❌
Becoming good at (up to high school) math exam ✔
I found you while I was desperately searching for answers. I’m going to be a dad and I’m really trying to get through college to be an engineer. You have helped greatly.
Let go of the desperation. Answers are always fleeting when you’re desperate. Slow down breathe DEEP and just be. Look at each step methodically try and break it down to its simplest form. If you can’t accept that and move on. Most of engineering is building on other understandings. Learning is a lifelong process.
BEST of luck dad !!! THAT is the MOST important part !
Hello from a current Colombia student, I love finding you guys in the wild
You see my problem is I am good at everything you say and I am so good at understanding it in class but when I do the homework it is similar to this
In class: a^2 + b^2 = c^2
Homework: Tanisha is filling a sphere 87% filled with water while traveling 77 miles per hour on the highway. Calculate the wind resistance thats slowing down her car and find what % of the suns gravitational pull effects her speed
Like wtf 💀 this is literally nothing we done in class. What does this have to do with pythagorean theorem and where the hell did we go over calculating wind resistance and the suns gravitational pull. And this isnt an exaggeration, yes I made it up but my homework is as ridiculous as this example
Something I learned in the first year of the Math Degree is that maths are hard almost by definition.
No matter how good you get, there will always be a problem that will far exceed your capabilities (even if you are Terence Tao).
But if you ask me, this is good, since it means there's no limit to how much one can improve in mathematics. ✨️🔥
I hated the way math was taught in school, it frustrated me. My father showed me his "old fashioned method" & I understood it instantly. However, had to turn in the long method of division, etc to school. Enjoyed algebra though. It was, to me, like putting a puzzle together. Now that I'm older & don't have to bow to a school method, I'd like to revamp my math skills. I liked how you explained things. I also appreciated the fact that you shared how you struggled. Thanks so much for sharing.
Watching this video made me feel like I can do math. Thank you for this logical motivation, which gives me faith that everyone can become good at math with the right techniques.
Out here mocking us for not noticing the fork 4:24
You don't learn how to ride a bike or play tennis by reading a book. The only way is to try to ride one or go out and hit balls with a racquet.
If we dare to move on to the next math problem without finding a solution, there will be consequences 🍴🍴
Nice video!
Thank you this helped heaps !! I was so scared to go into the year till I saw this video thank you 😊 🙏
One of the best videos that I have seen thank you so much