One thing that I noticed to be surprisingly helpful is "false start": when you are a tiny bit ahead of your peers, just because you started learning the topic a little bit earlier. It gives you satisfaction and makes you enjoy the subject. When I was returning from library during my 5th grade, I stuck in a traffic jam, and read half of the physics textbook. It took me like 2 hours, maybe. In classroom I was the best student in physics, and it made me enjoy this subject. After few years I won first place in my city on a physics Olympiad. That 2 hours in a traffic jam is nothing in comparison to thousands of hours that I dedicated to learning physics later, but they gave me a privilege that made me enjoy the process of studying physics.
@@aj4138 I've switched to computer science. After graduating from school I had to decide if I want to make career in physics or computer science, and I've chosen CS, because making AI is not any less interesting for me, than doing physics, but gives more money. Now I am doing a master's thesis on program synthesis (that's AI that writes programs).
I remember writing some c++ code but I couldn't get it to work properly. I took a nap and woke up knowing exactly what line to change and it worked perfectly.
Legend has it, that Edison wouldnt sleep much at night, but every time he was stuck on a problem, he would go to an armchair and hold metal balls over a pan. When he would fall asleep, the balls would hit the pan and wake him up. Apparently this helped him solve problems
It's true especially with mathematics, I personally don't think there's an innate ability that's impossible to overcome, with smart learning and a lot of hours, it's beyond easy to surprise yourself. The phrase "I'm not a maths person" is so harmful. I struggled a lot with mathematics (sitting in the lowest set) in high school, it frustrated me but after seeing I could drastically improve grades with a bit of self-motivation, it inspired me and I've recently graduated with first-class honors in university from a STEM field, and have a new found love for mathematics. It's so easy to be self-destructive, particularly when you're told you can't do something/you've done something wrong. Persistence and enthusiasm is key!
Dude, "taught to learn" and "taught how to learn" is the same thing. What you wanted to say is: "School gave me information, but never taught me how to learn that information effectively."
MaoItsMe it’s not the same thing. “taught me to learn” is referring that school introduced him into pursuing an education or understanding new concepts. “taught me how to learn” is talking about a specific method of learning technique.
@@diegoluna2471 Nope. By your logic "He taught me to ride the bike" is different from "He taught me how to ride the bike"... Yet, they are the exact same thing.
MaoItsMe yeah it can be interpreted that way but that’s not what he meant. technically they are two different things since “taught me to learn” is a little broad, leading to you thinking he repeated what he said. he’s not trying to say the same thing twice.
The reason I never understood math for the LONGEST time was because I never cared about the basics,I just looked at the way the teacher did the equation and tried to apply the process to my work that's why I never understood when to use the quadratic equation or Pythagorean theoram. If you you find it hard to understand maybe this might be the first step you take. I used to think I was stupid because everyone else got it and I didn't ,I mean I still am but not as bad.
Very true, I also saw math as something so hard, I hated it. But once I got to college I began enjoying mathematics which surprisingly made me pretty ok
Once in math class our teacher was teaching us how to solve certain equations and a kid gave a difficult question from the textbook to the teacher and the teacher and all of the students in class weren't sure on how to do it. After five minutes the class ended and later that day on my way home from school I was sitting in the bus and then I was thinking of the equation and suddenly the answer came to me and it was so simple. I find it cool how that french mathematician and I found the answer to the math problem on the bus.
My tip: Imagine that the part of a subject you are learning hasnt been discovered, and you are the first to know about it and understand it. This will give you motivation to learn deeper. (from my experience)
@@HerbaMachina yeah, that is also what I always do and by the time I finish the other question, I always remember how to do the question as if I did the question, 1 hour ago.
The fact that people didn't succeed at first, took a break from trying to learn math, then picked it back up and ran with it later on in their life just further proves that this theory of learning works (in their context at least).
Since ya'll are here I want to share something that I got from Richard Feynman. Surely you're not going to sustain that understanding very long by purely just being good at it. There's a difference in knowing and understanding. So what Richard Feynman did is just,, letting his curiosity wander. From simple equations on a paper to looking for a real life situation that agrees with the equation, whether they're the angle of the casted shadow or anything else.... After figuring out something on your own with math and a little bit of imagination, you'll find learning to be more exciting and the next thing you know is, you can't stop thinking, you're avoiding your phone more than you realize because now, you're carried away by thinking. I personally do this before going to sleep or while I'm eating or when I'm bored. Maybe think of it as a little mind game :)
@@kaycecapisinio3541 This sounds fun but I didn't understand what u meant. Could u please explain it once again at my level of understanding. I believe that too is Fyneman's words explaining everything simply haha 😅. But really explain. I wanna try that too.
@@aneeshupadhya3170 I learned this method from Richard Feynman's book: Surely you're joking Mr. Feyman! Mechanical engineering students in mit are already taught advanced calculus but,, none of them knew how calculus was related to the French curve. Sure, they learned calculus but at the same time, not really. When you apply what you learn to the smallest things, subjects as advanced as calculus won't be that stressful instead, you'll find it fascinating. And when you're bored, you'll always go to things that once fascinated you instead of going through your phone so yeah,,, hope that helped
@Aneesh Basrur ohh sorry my bad. I start by observing and then thinking how it works. For example, when I walk home from school in the afternoon, I noticed that the building beside my house casts a shadow. I measure the building's height through estimation since the building is just literally beside my house. I know the height of my house, so I can easily estimate the height of the building. I also determine the length of the casted shadow through estimation using the length of the road lol. So when I get home, I sometimes look for the angle of elevation using cos. But sometimes for me, knowing how it is solved is enough 😂 so that when I encounter a similar word problem I can easily imagine it
Great video. Here are some other tips I've come across while 'learning how to learn': -- The presence of a smartphone on your table or backpack decreases your working memory and fluid intelligence. When studying or taking a test, put your phone away in another room, leave it in your car, etc. If you use your phone as a timer, you can just buy a cheap timer online for just a few dollars. -- Walking while learning flashcards (the study in particular was foreign language words, but I'm sure it works for anything) greatly increases retention a week later. I like to pace back and forth at a comfortable pace while doing Anki. -- After a Pomodoro, take a few minutes to close your eyes and think about nothing in particular. Don't force yourself to think about nothing -- just let your mind do what it wants for a minute or so. This allows your mind to process what it just learned and embed it deeper. Going from learning to immediately browsing your phone is too discursive for effective learning. Right now, I like to have a 45 minute pomodoro, take a 3-5 minute "mind breather," then take a 10 minute walk to go over what I just learned, and repeat. I can cite links to studies backing up all three bullet points if anyone is interested.
I had to make my physics homework one time and I got stuck on a difficult question where I couldn't come up with an answer. I decided to give up and go to bed. But when I was sleeping, the solution suddenly came up in my head! I quickly woke up to write it down (cause I would surely forget) and turns out that it was actually right. It's really weird.
This is why exams sort of annoy me. I need to have time to let my mind wander. I’m in Computer Science, I can’t help but feel like my career colleges in the future aren’t gonna set a stopwatch every time I need to set up an algorithm/work with a data structure. It’s a frustrating reality to face when you’re in school
Build in a short walk both before and after class. 5 minutes will do it. The brain needs to freewheel to process new material, and walking is great for this. And you need exercise anyway!
Colleagues* And yes. Yes, they will. Your manager will not be a programmer. Their job is make sure you get shit done when the company wants it, not when you think you need to finish it. And if you do finish on time, next time the deadline will be a day sooner, until you finally fail to meet it, and then you'll be called into a meeting to ask why you didn't get the job done on time. The day you finally stop making excuses will be the day you've officially grown up.
My computer science teacher told me school isn't to learn specific material in classes but rather to learn how to learn. It's been very helpful to approach challenging concepts with that mindset and it's helped me realize the true potential of how I can become smarter and improve my skills.
@Edi, suggest you change your study to Chemistry. There are plenty of diffusion problems there. Or should I say focus on diffusion. But if you can't focus ...... hhhmmm ...... now I'm getting a headache.
This video should be shown to every math student on the first day of class. Thank you!!! I've said since I've been in college as an older student, math is like martial arts; a couple of weeks worth of classes does not make you a black belt.
I'm a writer on scientific topics. When I'm stuck, I walk my dog. As I'm walking my dog, when I'm not focused on the problem at all, the answer "just comes to me." Then I race home and make sure I write down what I came up with when I least expected it. I thought it was just me, until I saw this video! :)
Solutions come when we are in a relaxed mode (like u were calm walking the dog; in shower, before falling asleep etc). That's theta state of mind, which is when our mind is most creative.
I was taught all this in a course named "Learning how to learn" in coursera for 6 days(of course,the course duration is 4 weeks and I managed to finish it in 6 days out of curiosity) and you demonstrated the entire syllabus in 11 minutes!!!!!!!!! Kudos to you
@@dragonvarine7553 It is an excuse. You are literally making an excuse for why you can't succeed. A "valid" excuse is still an excuse. (in quotes because even that is dubious, whether the excuse is valid)
I've always felt very negative against mathematics, Sciences on the other hand I enjoy working on...and I've wanted to become a electrical engineer but I doubted myself because of math until I last year I decided to push myself even though I'm struggling with math and not seeing the results and it gets me demotivating but this video brought me out of it and now I feel better about it.
@@t3m077check out ilectureonline. and youtube videos for math intuition. without an intuitive view of the subject the math in EE will eat you up and spit you out. push through it!
I'm about to get my MS in mechanical engineering. Something that really worked for me was opening my homework assignment as soon as it was posted and reading through the problem set. I would spend maybe 10-15 minutes superficially thinking about the problems, and then I would close them. As I went about my day to day activity, the problems would be in the back of my head and I could spend a lot of time thinking about them, so when I finally had time to sit down and do that specific assignment, I already knew, mostly, what I needed to do.
I'm 36 years old, and your material is greatly appreciated. I'm hoping that more people in school or college can appreciate more topics like this. We fundamentally can easily get pressured what to think instead of how to think.
I really needed to tell you and everyone that how much true holds to this video. All my life I hated Math, because of some bias that my older brother hated it, and also because I literally never tried learning it, just always thinking "I am bad with numbers." One Statistics class in my Grade 12 year literally changed my life. Because in the pandemic, I put in hours for that class and literally fell in love with numbers. While I thought that one class would "pull my average down", it changed my whole life's trajectory. From aspiring to be a filmmaker, I took a gap year rejecting my offers to film schools and took Senior level Math courses. Some days ago, I got into my country's top double degree program for BBA and CS. It's all about the mindset really, once you decide to really pull your socks up, things can change dramatically. Thank you for this amazing video Zach.
Future you: Hmm, I wonder why I was supposed to watch this Future you: **sees "ignore this time stamp"** Future you: Oh, I guess it's nothing. **watches a different video**
How I study maths: Learn everything from the internet without taking notes(but write the topics name) Then after finishing that try to make all the notes without taking help of anything even if it takes days,(when it’s really like you are not getting it, rewatch the video and repeat the process) Practice lots and lots of questions(only check the solution after you solved the question and if you can’t solve rewatch the video and try to solve again) How I study science: Physics: Understanding derivation(not like basic maths but why the derivation was done in that way)and every terms of a formula is a must, because all the concepts are literally based on the derivation and if you mug up the formula but don’t know what the terms are you will be lost. While solving a question draw a rough diagram of the question and try to relate it with the derivation of the formula and apply the concepts. Plus make your own notes, professors notes are great, but making your notes will be better than the professor notes for you. And revise those notes at least for 15 min only the formula and the terms and derive it once every week. When understanding a physics concept try to relate it to your experience as physics is mostly based on real world applications. Chemistry: organic chemistry(every reaction and mechanism mug up),ingorganic chemistry(no hope :( only pray and numericals understand the concepts)
I'm glad that as I got older and wiser, my math got better. I can now do elementary algebra for fun rather than feeling stressed out about tests, how much time I have till the end of my second semester, my grades, etc.
True, when I am writing a paper or doing homework and I start becoming stuck or loosing interest I go into "diffuse mode" (or Sherlock Holmes mode) and start to walk around the room for a couple of seconds. This will help if you are not too busy thinking about it. IF you need extra advice try to just space out, relax, breath deeply, talk about the problem, and/or drink a good amount of water. Great video...thx
another good example of diffuse mode thinking that came into my head was when you're in an exam and you'll skip a question come back to it and when you come back to it the second time being really easy to answer
I envy the generation that grew up with youtube and the free knowledge found on internet. Its so much fun and easy to do things you like and learn more things you don't necessarily are well versed in. I just love the access that has been opened up. And I am nearly 40. So I saw the emergence of it all during my college days but not the ubiquitous nature of it all. Good luck to you all.
I'm a total newbie in solving integration. Actually I was gonna start right now so I decided to rest a bit and watch some videos on youtube. And then this showed up on my feed. Thank you this is going to be very helpful.
Have fun with it, like mental rubik cubes solving some integrals. I have used days on occasion to find a solution to some integrals, the satisfaction when you crack it is worth all the effort. Cant beat it.
Integration was hard at first, but you have to learn to recognize a few basic functions, then it becomes easier to know whether to go straight through with the power rule, convert trig functions using u-sub, integration by parts, knowing polynomial division and partial fraction decomposition, etc
I found that reading out loud and then calling my friend to test me. My aim was simple to get a high distinction in that subject. And I spent 2 days to finish my entire semester of lectures. During my test I found that I could recall almost everything I read. I feel proud of that.
2:34 This applies to me in programming as well. I’ll be trying to figure out how to implement a method or trying to fix bugs late at night. After a while of intense focus, I just go to sleep, wake up, and boom solution forms inside my head just like that.
For decades I've concentrated in lessons...especially French classes...and then gone for a walk afterwards. The brain gets to be sidetracked for a while, and concentrates on aspects of the lesson that need practice. I learnt most of my irregular verbs, walking to the market on Saturday after class! Now, with uni looming, I look at maths vids that are well presented...Eddie Woo for example...but are a bit above my limit, so when I get out the text book or the question list, I have had exposure to the concept and instead of saying, Huh? What are they on about? I go 'Aha! I recognise that! The Aha moment is how the brain clicks into a subject. Treasure it.
Dude! You just confirmed something I believed my whole life and never knew anyone else thought or knew about it. The Einstellung effect. I've never heard of it til now. But I've always understood it and always believed it to be the biggest reason why people hit roadblocks when learning math.
I wanna share something personally When I follow the Pomodoro technique ( setting a timer for 25 minutes), getting into deep focus, after the period of 25 mins ends, I end up in such an intense state of focus that I don't want to take a break and move on This proves that action leads to motivation and the latter is completely false
i study math right now for my master degree and i say chatgpt is such a big help. Its much better to hask him questions were you are stuck at then look at the solution
The idea sounds legit and actually worked for me plenty of times. I took a break from studying and then the problem's answer suddenly came to my head, but that happened in a matter of a few hours, half an hour the least. How can someone decrease the amount of time spent on diffuse mode? Because in the case of a test or an exam the time is limited and because of this time limit our stress level increases which makes us tend to the focused mode more, since we don't see the other method as successful.
I would assume that increasing your fundamental understanding of the basic skills required to solve a particular problem would assist in decreasing your diffuse period. If the basics are already known, consistent repetition would be the only other viable solution. The content in which a test or exam is comprised should already be known to yourself for a vast period prior to participating in said test or exam, therefore utilising a study routine that provides consistent repetition of the problems or concepts of which you find difficult, should provide you with the greatest improvement (routine should include strategies from the video, especially working to timed conditions). This routine should begin in conjunction with your classes and should also mimic the order in which you are taught concepts. That is if you are taught concept 1 in week 1 of class, you should be studying concept 1 throughout week 1 as homework, until you are confident in your understanding of the concept. Ideally, you should not be studying concept 1 in week 2 whilst learning about concept 2 in class, you should already have a fundamental understanding of how to apply the concept from your study the week prior. If done correctly you should be doing revision leading up to the exam or test, not learning. This style of studying should prepare you for any questions that you struggle to comprehend, and therefore decrease you reliance on diffuse time within and exam or test. I am unsure if this will help, but I will post it anyway.
Writing things down really helps too. Just having a few sheets of papers with basics written on them, from which you can mentally derive all the conclusions you need on a topic. Also I gave the JEE Adv. and in it I used a simple 4 step method while both learning solutions to problems and then actively solving them. Situation Analysis, Concept Extraction, Data Collation, and Attack on Requirements.
I kinda reminisce my past experiences with my Calculus 1,2, and 3. I have that very proud feeling of self-esteem and because of that I vigorously studied all of my Maths until I get nearly flying colors for my grades from all of those subjects. The process I take to study those Maths was embarrassing though, in my opinion, because almost everyday I repeatedly read and read all of my Calculus section topics until I can answer (without any flaws) any example problem I can find in there without digging into a much deeper level of understanding. My mindset in that situation was that -- by just getting the pattern and procedural techniques in solving a maths problem I can proceed to the next example one. And if I'm done with all of the section topics for the day, if I had extra time for the day, as much as possible, I'll try to repeat any similar problem within that topic scope. So as you can see I'm actually just memorizing the patterns and techniques in solving a Calc problem and not digging into deeper understanding. I have grasp at this realization when my friend asked me something about an intriguing question from Calculus 1 regarding slopes, secants, and tangents. THE BIG THING that have happened was, even though I get a very good grade for that subject, I'm not able to explain it to my friend in an almost flawless manner like I used to solve Calculus example equations BECAUSE ALL I KNOW WAS THE PATTERN OR TECHNIQUE IN SOLVING ANY MATH EQUATION RELATED TO THAT TOPIC AND NOT THE QUESTIONS REGARDING WHY EQUATIONS OR RELATED MATHEMATICAL GRAPHS CAME INTO BEING. So grades doesn't define your level of understanding of a certain subject. Repetition is a key I know, but repetition is also a tool for getting tricked by the illusion about Maths. Simply answering all math equation problems doesn't guarantee that you know deeply the concepts about Math. DON'T STUDY THE PATTERN, STUDY THE CONCEPT because it will lead you to better answering a math equation/problem. This whole story of mine is attributed to a part of this RUclips video which is "When your stuck with a math problem, don't just always look at the solution for that problem and say OH! That's how they solved it, and then proceed afterwards". That quote is the worst way to learn a math concept and I've been a victim of this ever since. You need to work out the problem without any aid of the solution section, don't always rely on viewing the answer to the problem because if that's your usual attempt then there's a huge chance your going after "learning the technique/pattern and not the MERE CONCEPT". With this video, my mindset kinda changed a little and surprisingly I thought of things about going back to study basic Maths such as trigo and basic algebra, getting B.S. Math. or making a RUclips video about solving a math problem in a new way. SO YEAH! A SIMPLE MINDSET CAN CHANGE MANY THINGS. :))
Awesome video! I also would like to confirm that it's true, your mind can shift as you get older. I didn't like Math in High School and now that I'm studying Computer Science I'm in love with it!
Hello there :D dropping my notes from this video here - There are 2 modes of thinking. (Focused and diffused modes, both of them are important) - Focused: highly focused - diffused : relaxed and let your mind wander off(Break) and allows parts of your brain to connect and solve problems (background) Einstellung effect- Having a set idea formed about how to solve a problem which bars you from exploring new and more innovative ways to solve a problem (or better) (Alternate between focused and diffused mode, focus intensely on a problem and when you are stuck take a break like a walk, shower, sleep and then get back to it in focused mode, will help you solve it better since you have a fresh look at the problem, remember to understand the basics at least, think well about it) STUDY TECHNIQUES - study daily! don't do it all in one go! Because it's a slow process. - Recall material - read and then close the book and recite whatever you've learnt and then again repeat it ( the author said to do it at least twice but imma do it thrice) - SOLVING PROBLEMS( DONTS) 1) Attempt the prob and look at the sol and move on (Try on a diff problem and that same problem some time later) DOS- -make sure you understand the basics before you start the problem - work a problem all the way through(see solution unless you really need to) - repeat and understand the whys not just the hows -take a small break for a fresh mind -Practice lots -Dont solve too many similar questions but do try a few - Mix up the problems and the sections ( Practice the exercises in a random manner just like on a test after understanding the whole concept) - PROCRASTINATION - Pomodoro (imma do it lay it down break ) -Focus on the process not the product - Do the disliked jobs first - Mental contrasting ( Picture Where you wanna be later on in life when you are doing it and why you are doing it) - Patience persistent ( PERSISTENCE > INTELLIGENCE!!, (note to self: What the narrator said is so true you've been praised all your life for your "intelligence" but everything is working out for now but you know it well how badly you are about to fall behind your peers) -Learning to learn -things get fun when people are good at something, but when they are bad at something they get bored and not try so try to be ahead of your peers and show off! (works well) - Switch your mindset (allows to beat the impossible) Yeah so that's it My score in math on my last exam was 58/60 and in science I scored the same too unfortunately :/ . Will try to
One of my lecturers used to call "Recall the Material" as "Teddy-talk time". He said spend time covering the material, and the try and recall it as if you were teaching it. When you are comfortable with walking up to a whiteboard or flip chart and fully explaining the proof, or section or topic, THEN you have a good level of learning. There's still more after this, but it's a great start.
Actually the big problem for me in physics is visualization and it plays a very role of you understanding physics concepts. Could you please comment on measures to increase visualization power , it would be a great help
This is so true for diffused mode, I was so set on solving a physics problem, struggled on it but eventually went to sleep cos it got late. The next day, I tried it and thought with a more open mind, almost automatically making me see the method of solving it.
Yea... I definitely didn’t get distracted several times throughout the video, but at the same time really wanted to learn so I skipped back every time I missed something.
Another useful tip if you also really want to get to know a subject better is by acting like you can only compare yourself to yourself. Basically if you want to excel at something but someone from your class or one of your friends that are good at it make you feel less confident. Don't compare yourself to them but rather on your level, by doing this you can get rid of any thoughts from your mind that compares you to others. Even if you don't feel confident in doing it or you just hate doing it, learn to do more of those things and try to act like you love it. If you like a subject more or you have a lot of interest in it, it can help you be confident in that subject, that way, you do not hate learning it. Even if you do not really compare yourself to others but you just don't feel confident enough to learn it, just try, you can read books, watch yt videos etc on a certain topic that you do not like. It can help build confidence once you learn to love a topic more because the more you're interested in a topic, the better and faster you can learn it. I'm speaking from experience here and i can say that this does help. Does not mean you need to do it this way, there are alot of things you can do to improve at any subject, but imp loving a subject and putting more work into it helps alot if you really do want to improve👍
Thanks for the video! I'm a bit overwhelmed, thinking about the long road of math. Elementary algebra, intermediate algebra, algebra, pre calculus, calculus 1, calculus 2, calculus 3.
1.Have diffuse and focused thinking 2.Read what you have read then recall it for a few times 3.after you solve a math question by seeing the solution do another same question 4.dont procastienajate
I finally know why I have some flaw on my learning path, cuz I have pride of thinking that I am good enough, to not to learn other technique, thx zach for bringing me back.
You should get more subscribers. Thanks for the video btw. For someone like me who didn't learn math in all my high school years and now learning Math by myself to get into college to study Computer Science, this is gold.
After watching this video I now think that I can't achieve my goal in my Life And now I feel like the chosen one Thanks a lot brother for this video and thanks my beautiful Universe and RUclips for recommending me this video
Im not sure if this is off topic but the diffuse mode thinking actually can be involved with art. For example, if you are struggling drawing a hand, just get distracted for a bit and once you come back to your drawing your mind is fresh and you know how to fix it.
This book literally changed my life. Not kidding, even though diffuse vs focused thinking was enlightening, the part of the book that really shaped my learning was "over-learning vs interweaving". This was the part I was doing wrong. I think you should make a video focusing on that part.
Literally hated science at high school and failed it too. Now I’m reading up on it and I now see how many interesting things that have been discovered (or will probably never be discovered).
Idk why I clicked on this video even though I'm already good at math and science, but the stuff he's talking about can be really useful for all sorts of other things and I noticed that even I do some of these things that he talks about, great video and how I always think don't just know understand
What a coincidence that this video was recommended to me after I figured out a question from my maths homework by leaving it for a few hours... I was walking home from school when I had an epiphany on a difficult question on my maths. Great video!
This is a really great video and it has really put my mind at ease. The idea in my head that persistence is more important than intelligence when learning is really going to help me in my last year of high school and finals. Thank you!
When I was a grade 1 student I got 15/100. After some years I saw my brother reading and practicing it. I enjoyed repeating what my brother done. After that I scored the best grade in Math's at school. I enjoyed it, I didn't have any stresses for getting good grades but I scored the best in Math's since grade 5!
When I was in Junior High School, I'm one of the most student that is bad in mathematics and science. I am having a hard time understanding trigonometry, geometry, and algebra (I know how to do binomial though) which caused me to say negative things to myself. To be honest, I don't really have interest in learning because they are boring for me back then. The only subject I was good at was English and to this day, I think of myself as below average in english. Until I became Grade 11 and I began to take things seriously because I don't have much time and also I don't want to stay like that so I decided to improve myself in every way. After some time, I noticed changes especially my improved grades (which was always low) and managed to be the top of the class and get into one of the achiever in the school. What I want to say is that hardwork and persistence does pay it off and reward you with greatness.
6:45 and I think interleaving the problems. Studies show is helpful too. Like if you did one problem of one type, then, the next type than the next time, then, if you have time do one of each type again. This helps you get ready to figure out what type of problem you’re looking at.
Can you please answer one of my question ? Why do we have to physically practice maths to get the concept and why don't we get the concept by just seeing the solved problems ?? Kindly answer
My Name because there are things within the problem that you don't know yet, and that won't be apparent by looking at the answer, so they have to be explained to you. Also, that is just how humans learn. Repetition drills it into our head until we don't have any gray areas because we have done it so many times.
Try to look at a photo of a really messy room and memorize everything you can. Then turn away and see what you can recall. The second you turn away you will realize you don't actually remember a lot of what you were looking at, even though you'd probably assume that you do. Same kind of thing with math. I have tutored students and shown them a solution and they say they get it, then I gave them the problem again 5 minutes later and it's amazing how often they can't do it.
because you don’t learn math just by doing a couple of problems, i believe it would take the average person about 4-5 months to say they grasped and master must of the concepts in algebra but even then their still not masters, math is a language just like any other, in fact it is universal its something you learn over time, just like languages (spanish, english etc) your brain expands and gets accustom to keep flow of all the information you’re learning,so struggle keep practicing, atleast practice for an hour or 30 minutes a day and you’ll see results eventually
I usually take a nap during exams and it freshens my mind up to continue with next questions. It actually helps when I'm stuck on a problem or my mental focus is dwindling.
One thing that I noticed to be surprisingly helpful is "false start": when you are a tiny bit ahead of your peers, just because you started learning the topic a little bit earlier. It gives you satisfaction and makes you enjoy the subject. When I was returning from library during my 5th grade, I stuck in a traffic jam, and read half of the physics textbook. It took me like 2 hours, maybe. In classroom I was the best student in physics, and it made me enjoy this subject. After few years I won first place in my city on a physics Olympiad. That 2 hours in a traffic jam is nothing in comparison to thousands of hours that I dedicated to learning physics later, but they gave me a privilege that made me enjoy the process of studying physics.
This has inspired me so much ... you have no idea. Thank you.
whoa. Coolest comment I read today. Thanks!
Nice comment well done sir
I'm interested in physics too! Can you please tell what you're studying exactly??
@@aj4138 I've switched to computer science. After graduating from school I had to decide if I want to make career in physics or computer science, and I've chosen CS, because making AI is not any less interesting for me, than doing physics, but gives more money. Now I am doing a master's thesis on program synthesis (that's AI that writes programs).
I remember writing some c++ code but I couldn't get it to work properly. I took a nap and woke up knowing exactly what line to change and it worked perfectly.
this is actually a very practical technique for things like programming. It helps a lot.
-IT student.
@@w花b Taking a crap helps aswell
@@w花b taking a crap helps a lot too
Legend has it, that Edison wouldnt sleep much at night, but every time he was stuck on a problem, he would go to an armchair and hold metal balls over a pan. When he would fall asleep, the balls would hit the pan and wake him up. Apparently this helped him solve problems
Same lmao I strained my eyes trying to find the problem, took a water break and when I came back I knew where to find the problem and how to solve it
The author went from failing math in high school...to getting PhD in engineering...there's hope for me...
true
Jex Revan you cant do it! do give up!
It's true especially with mathematics, I personally don't think there's an innate ability that's impossible to overcome, with smart learning and a lot of hours, it's beyond easy to surprise yourself. The phrase "I'm not a maths person" is so harmful. I struggled a lot with mathematics (sitting in the lowest set) in high school, it frustrated me but after seeing I could drastically improve grades with a bit of self-motivation, it inspired me and I've recently graduated with first-class honors in university from a STEM field, and have a new found love for mathematics. It's so easy to be self-destructive, particularly when you're told you can't do something/you've done something wrong. Persistence and enthusiasm is key!
Addicted To Music
LOL
president!
"give yourself a break"
schools : "wait , that's illegal"
I do it sometimes, but I am about to get in trouble for missing class lol even though I got good grades
@@melonssie5600 well you should take a break but not litterally, just day dream in the class or smth
you dont put a space between your commas and words and :
its grammatically incorrect.
I dared to not do homework over Saturday and I’m regretting that decision now on Wednesday.
He means break as in relax, not video games.
School taught me to learn but it never taught me how to learn. Thank you for this vid
Nova Marshall fr
Dude, "taught to learn" and "taught how to learn" is the same thing. What you wanted to say is: "School gave me information, but never taught me how to learn that information effectively."
MaoItsMe it’s not the same thing. “taught me to learn” is referring that school introduced him into pursuing an education or understanding new concepts. “taught me how to learn” is talking about a specific method of learning technique.
@@diegoluna2471 Nope. By your logic "He taught me to ride the bike" is different from "He taught me how to ride the bike"... Yet, they are the exact same thing.
MaoItsMe yeah it can be interpreted that way but that’s not what he meant. technically they are two different things since “taught me to learn” is a little broad, leading to you thinking he repeated what he said. he’s not trying to say the same thing twice.
The reason I never understood math for the LONGEST time was because I never cared about the basics,I just looked at the way the teacher did the equation and tried to apply the process to my work that's why I never understood when to use the quadratic equation or Pythagorean theoram. If you you find it hard to understand maybe this might be the first step you take. I used to think I was stupid because everyone else got it and I didn't ,I mean I still am but not as bad.
Ami NODS same here... but now I’m in the process of really understanding it
Ami NODS this might be me rn...
Very true, I also saw math as something so hard, I hated it. But once I got to college I began enjoying mathematics which surprisingly made me pretty ok
I am your 400th like
@Independent Thinker he means he's improved
Oh I get it!
moves on to an unrelated video.
MrRingo123
Agreed.
Life of a typical person on RUclips.
lol
You guys.... =DD
So this is why all the answers come to you after you step out of the test hahah
Loooool
Once in math class our teacher was teaching us how to solve certain equations and a kid gave a difficult question from the textbook to the teacher and the teacher and all of the students in class weren't sure on how to do it. After five minutes the class ended and later that day on my way home from school I was sitting in the bus and then I was thinking of the equation and suddenly the answer came to me and it was so simple. I find it cool how that french mathematician and I found the answer to the math problem on the bus.
Obaid Maqsood Perhaps the world's best minds should get on a bus together, whilst taking a shower.
MachiniPrimus hahahaha well said😂
/r/thatHappended
me too
Hey man how u doing?
My tip: Imagine that the part of a subject you are learning hasnt been discovered, and you are the first to know about it and understand it. This will give you motivation to learn deeper. (from my experience)
omg that helps, thank you so much!
that's a really REALLY COOL TIP thanks :)
ooh that's nice
adventure :)
WOW THAT'S AMAZING, THANKS❤
I loved this tipp :)
The awkward moment when you go into diffuse mode and it lasts an entire semestre.
Underrated
yeah i hate when that happens
its only supposed to last a semester? ive been in diffuse mode since 2011
@@notcatisa I’m dead
I tried the diffused method during our exam... An hour later
.
.
the exam is over.
Lol
Lol the key with doing it on an exam is if you're struggling with it on the exam move on from it than come back to it later.
😂😂😂😂
🥴😂😂😂😂
@@HerbaMachina yeah, that is also what I always do and by the time I finish the other question, I always remember how to do the question as if I did the question, 1 hour ago.
Ahh so this is where shower thoughts come from
And washing dishes, and weeding the garden...
and interpersonal monologues when driving or when strolling into the night :)
And shining shoes
*Existing*
Ye
The fact that people didn't succeed at first, took a break from trying to learn math, then picked it back up and ran with it later on in their life just further proves that this theory of learning works (in their context at least).
“Imagination is more important than knowledge.”- Albert Einstein
Since ya'll are here I want to share something that I got from Richard Feynman. Surely you're not going to sustain that understanding very long by purely just being good at it. There's a difference in knowing and understanding. So what Richard Feynman did is just,, letting his curiosity wander. From simple equations on a paper to looking for a real life situation that agrees with the equation, whether they're the angle of the casted shadow or anything else.... After figuring out something on your own with math and a little bit of imagination, you'll find learning to be more exciting and the next thing you know is, you can't stop thinking, you're avoiding your phone more than you realize because now, you're carried away by thinking. I personally do this before going to sleep or while I'm eating or when I'm bored. Maybe think of it as a little mind game :)
@@kaycecapisinio3541 This sounds fun but I didn't understand what u meant. Could u please explain it once again at my level of understanding. I believe that too is Fyneman's words explaining everything simply haha 😅. But really explain. I wanna try that too.
@@aneeshupadhya3170 I learned this method from Richard Feynman's book: Surely you're joking Mr. Feyman! Mechanical engineering students in mit are already taught advanced calculus but,, none of them knew how calculus was related to the French curve. Sure, they learned calculus but at the same time, not really.
When you apply what you learn to the smallest things, subjects as advanced as calculus won't be that stressful instead, you'll find it fascinating. And when you're bored, you'll always go to things that once fascinated you instead of going through your phone so yeah,,, hope that helped
@@kaycecapisinio3541 I mean like how are you to apply complex things to simpler things in life is my question.
@Aneesh Basrur ohh sorry my bad. I start by observing and then thinking how it works. For example, when I walk home from school in the afternoon, I noticed that the building beside my house casts a shadow. I measure the building's height through estimation since the building is just literally beside my house. I know the height of my house, so I can easily estimate the height of the building. I also determine the length of the casted shadow through estimation using the length of the road lol. So when I get home, I sometimes look for the angle of elevation using cos.
But sometimes for me, knowing how it is solved is enough 😂 so that when I encounter a similar word problem I can easily imagine it
The book is actually really helpful. I got from getting 2% more than required for passing my math test to getting 95% in finals
Same
I Scored 87% last year but scored 96% in high school
I scored 92% and 94% only :((((
@Bismit Kar atleast you are 91%
I got 98%(89/90) last exam❤️wish you goodluck!
I got 62🤕
@@universewithinyou2761 that’s rlly good
Great video. Here are some other tips I've come across while 'learning how to learn':
-- The presence of a smartphone on your table or backpack decreases your working memory and fluid intelligence. When studying or taking a test, put your phone away in another room, leave it in your car, etc. If you use your phone as a timer, you can just buy a cheap timer online for just a few dollars.
-- Walking while learning flashcards (the study in particular was foreign language words, but I'm sure it works for anything) greatly increases retention a week later. I like to pace back and forth at a comfortable pace while doing Anki.
-- After a Pomodoro, take a few minutes to close your eyes and think about nothing in particular. Don't force yourself to think about nothing -- just let your mind do what it wants for a minute or so. This allows your mind to process what it just learned and embed it deeper. Going from learning to immediately browsing your phone is too discursive for effective learning. Right now, I like to have a 45 minute pomodoro, take a 3-5 minute "mind breather," then take a 10 minute walk to go over what I just learned, and repeat.
I can cite links to studies backing up all three bullet points if anyone is interested.
I know this is 2 years later, but I would love to read some studies on the third bullet point if you still have the links!
thank you so much!
thx alot sir!
Yeah, it is a kind of meditation.@abdelhaditayebbey
Is this why we think of our best arguments after our argument is over?😂😂
most likely
Yea
lol
Mind blown
So true I say damn I should’ve said this instead of that 😂😂😂
I had to make my physics homework one time and I got stuck on a difficult question where I couldn't come up with an answer. I decided to give up and go to bed. But when I was sleeping, the solution suddenly came up in my head! I quickly woke up to write it down (cause I would surely forget) and turns out that it was actually right. It's really weird.
Are male or female
Sorry for such silly question but I couldn't guess by your photo and name
anchit bagde Their photo is of a male Kpop idol named Kim Taehyung of the group BTS.
anchit bagde 😂😂😂
this part of the comment section is a far cry from what the guy was saying. XD
This is why exams sort of annoy me. I need to have time to let my mind wander. I’m in Computer Science, I can’t help but feel like my career colleges in the future aren’t gonna set a stopwatch every time I need to set up an algorithm/work with a data structure. It’s a frustrating reality to face when you’re in school
Olemier samee
Build in a short walk both before and after class. 5 minutes will do it. The brain needs to freewheel to process new material, and walking is great for this. And you need exercise anyway!
This is why take home exams are my favourite
Oh shit, I have the same situation as you!
Colleagues*
And yes. Yes, they will. Your manager will not be a programmer. Their job is make sure you get shit done when the company wants it, not when you think you need to finish it. And if you do finish on time, next time the deadline will be a day sooner, until you finally fail to meet it, and then you'll be called into a meeting to ask why you didn't get the job done on time. The day you finally stop making excuses will be the day you've officially grown up.
My computer science teacher told me school isn't to learn specific material in classes but rather to learn how to learn. It's been very helpful to approach challenging concepts with that mindset and it's helped me realize the true potential of how I can become smarter and improve my skills.
I think my brain is stuck in diffuse mode haha
Maybe you'll solve all the unsolved problems of the world then haha
MajorPrep if only I could focus haha. Anyways great video!
@Edi, suggest you change your study to Chemistry. There are plenty of diffusion problems there. Or should I say focus on diffusion. But if you can't focus ...... hhhmmm ...... now I'm getting a headache.
That’s called ADHD bro
600th like!
This video should be shown to every math student on the first day of class. Thank you!!! I've said since I've been in college as an older student, math is like martial arts; a couple of weeks worth of classes does not make you a black belt.
I'm a writer on scientific topics. When I'm stuck, I walk my dog. As I'm walking my dog, when I'm not focused on the problem at all, the answer "just comes to me." Then I race home and make sure I write down what I came up with when I least expected it. I thought it was just me, until I saw this video! :)
Solutions come when we are in a relaxed mode (like u were calm walking the dog; in shower, before falling asleep etc). That's theta state of mind, which is when our mind is most creative.
Wait so what about your dog?
Consider carrying a notepad or a voice recorder...
Keep a journal on you.
Dog backwards is god.
I was taught all this in a course named "Learning how to learn" in coursera for 6 days(of course,the course duration is 4 weeks and I managed to finish it in 6 days out of curiosity) and you demonstrated the entire syllabus in 11 minutes!!!!!!!!! Kudos to you
I have autism and ADHD.... focusing on 1 thing and getting easily distracted by another is my specialty
I do too, it’s not an excuse. It takes time to learn how to do and adapt to, now I’m finishing two degrees in chemistry and chemical engineering.
You can do it! This is coming from an Aspie here.
Jacob Votava good stuff man!
Jacob Cant say its not an escuse. You have it mild then. Many have tried to focus with ADHD and may failed. Its just how it be.
@@dragonvarine7553 It is an excuse. You are literally making an excuse for why you can't succeed. A "valid" excuse is still an excuse. (in quotes because even that is dubious, whether the excuse is valid)
I've always felt very negative against mathematics, Sciences on the other hand I enjoy working on...and I've wanted to become a electrical engineer but I doubted myself because of math until I last year I decided to push myself even though I'm struggling with math and not seeing the results and it gets me demotivating but this video brought me out of it and now I feel better about it.
Update?
My man update us
Hope you're doing well in the subject :)
Update? I'm in the same situation
@@t3m077check out ilectureonline. and youtube videos for math intuition. without an intuitive view of the subject the math in EE will eat you up and spit you out. push through it!
I'm about to get my MS in mechanical engineering. Something that really worked for me was opening my homework assignment as soon as it was posted and reading through the problem set. I would spend maybe 10-15 minutes superficially thinking about the problems, and then I would close them. As I went about my day to day activity, the problems would be in the back of my head and I could spend a lot of time thinking about them, so when I finally had time to sit down and do that specific assignment, I already knew, mostly, what I needed to do.
You deserve more views, man. This channel is great!
More important than the number of views or the number of likes is the RATIO of likes (1700+) to dislikes (13).
This Channel is great...
I love this channel
@@photografr7 I really don't understand how 500+ people disliked this like bruh it's just someone helping us with maths and science
@@oneoverpresence6564 because they failed their test
I'm 36 years old, and your material is greatly appreciated. I'm hoping that more people in school or college can appreciate more topics like this. We fundamentally can easily get pressured what to think instead of how to think.
I really needed to tell you and everyone that how much true holds to this video. All my life I hated Math, because of some bias that my older brother hated it, and also because I literally never tried learning it, just always thinking "I am bad with numbers." One Statistics class in my Grade 12 year literally changed my life. Because in the pandemic, I put in hours for that class and literally fell in love with numbers. While I thought that one class would "pull my average down", it changed my whole life's trajectory. From aspiring to be a filmmaker, I took a gap year rejecting my offers to film schools and took Senior level Math courses. Some days ago, I got into my country's top double degree program for BBA and CS. It's all about the mindset really, once you decide to really pull your socks up, things can change dramatically. Thank you for this amazing video Zach.
Please😢tell me how to improve brother 😢
4:04 ignore this time stamp, it's for my future self when I watch this before my exams (I've added it to a playlist which will remind me to watch it)
I normally don't like comments but... yeah I don't know I just like it
Future you: Hmm, I wonder why I was supposed to watch this
Future you: **sees "ignore this time stamp"**
Future you: Oh, I guess it's nothing. **watches a different video**
@@colinblau6119 lmaoo
@@B3Band LOLL I LAUGHEDD XD
Very clever, ill try that technique.
What are you studying?
How I study maths:
Learn everything from the internet without taking notes(but write the topics name)
Then after finishing that try to make all the notes without taking help of anything even if it takes days,(when it’s really like you are not getting it, rewatch the video and repeat the process)
Practice lots and lots of questions(only check the solution after you solved the question and if you can’t solve rewatch the video and try to solve again)
How I study science:
Physics: Understanding derivation(not like basic maths but why the derivation was done in that way)and every terms of a formula is a must, because all the concepts are literally based on the derivation and if you mug up the formula but don’t know what the terms are you will be lost.
While solving a question draw a rough diagram of the question and try to relate it with the derivation of the formula and apply the concepts.
Plus make your own notes, professors notes are great, but making your notes will be better than the professor notes for you. And revise those notes at least for 15 min only the formula and the terms and derive it once every week.
When understanding a physics concept try to relate it to your experience as physics is mostly based on real world applications.
Chemistry: organic chemistry(every reaction and mechanism mug up),ingorganic chemistry(no hope :( only pray and numericals understand the concepts)
I'm glad that as I got older and wiser, my math got better. I can now do elementary algebra for fun rather than feeling stressed out about tests, how much time I have till the end of my second semester, my grades, etc.
True, when I am writing a paper or doing homework and I start becoming stuck or loosing interest I go into "diffuse mode" (or Sherlock Holmes mode) and start to walk around the room for a couple of seconds. This will help if you are not too busy thinking about it. IF you need extra advice try to just space out, relax, breath deeply, talk about the problem, and/or drink a good amount of water. Great video...thx
another good example of diffuse mode thinking that came into my head was when you're in an exam and you'll skip a question come back to it and when you come back to it the second time being really easy to answer
I envy the generation that grew up with youtube and the free knowledge found on internet. Its so much fun and easy to do things you like and learn more things you don't necessarily are well versed in. I just love the access that has been opened up. And I am nearly 40. So I saw the emergence of it all during my college days but not the ubiquitous nature of it all. Good luck to you all.
Yet they still struggle with math.
Two months before my finals - halfway through my revision! Just what I needed mate thanks!
I'm a total newbie in solving integration. Actually I was gonna start right now so I decided to rest a bit and watch some videos on youtube. And then this showed up on my feed.
Thank you this is going to be very helpful.
You got it! Good luck!
Saadman Sakib Integration in Calculus was my favorite and easiest topics I learned in High School
Jack O Pumkinhead no one asked
Have fun with it, like mental rubik cubes solving some integrals. I have used days on occasion to find a solution to some integrals, the satisfaction when you crack it is worth all the effort. Cant beat it.
Integration was hard at first, but you have to learn to recognize a few basic functions, then it becomes easier to know whether to go straight through with the power rule, convert trig functions using u-sub, integration by parts, knowing polynomial division and partial fraction decomposition, etc
I found that reading out loud and then calling my friend to test me. My aim was simple to get a high distinction in that subject. And I spent 2 days to finish my entire semester of lectures.
During my test I found that I could recall almost everything I read. I feel proud of that.
2:34 This applies to me in programming as well. I’ll be trying to figure out how to implement a method or trying to fix bugs late at night. After a while of intense focus, I just go to sleep, wake up, and boom solution forms inside my head just like that.
For decades I've concentrated in lessons...especially French classes...and then gone for a walk afterwards. The brain gets to be sidetracked for a while, and concentrates on aspects of the lesson that need practice. I learnt most of my irregular verbs, walking to the market on Saturday after class! Now, with uni looming, I look at maths vids that are well presented...Eddie Woo for example...but are a bit above my limit, so when I get out the text book or the question list, I have had exposure to the concept and instead of saying, Huh? What are they on about? I go 'Aha! I recognise that!
The Aha moment is how the brain clicks into a subject. Treasure it.
Dude! You just confirmed something I believed my whole life and never knew anyone else thought or knew about it.
The Einstellung effect. I've never heard of it til now. But I've always understood it and always believed it to be the biggest reason why people hit roadblocks when learning math.
I watch this every few months to help me refresh study habits, someday I'll get the book when I have time to read it. Thanks for this 👍
I wanna share something personally
When I follow the Pomodoro technique ( setting a timer for 25 minutes), getting into deep focus,
after the period of 25 mins ends, I end up in such an intense state of focus that I don't want to take a break and move on
This proves that action leads to motivation and the latter is completely false
i study math right now for my master degree and i say chatgpt is such a big help. Its much better to hask him questions were you are stuck at then look at the solution
How does this channel only have 28k subs? It's one of the best on RUclips!!!
Thank you!
It has 871K now. We’re 1/100000000000000000000’th of the way there!
The idea sounds legit and actually worked for me plenty of times. I took a break from studying and then the problem's answer suddenly came to my head, but that happened in a matter of a few hours, half an hour the least. How can someone decrease the amount of time spent on diffuse mode? Because in the case of a test or an exam the time is limited and because of this time limit our stress level increases which makes us tend to the focused mode more, since we don't see the other method as successful.
I would assume that increasing your fundamental understanding of the basic skills required to solve a particular problem would assist in decreasing your diffuse period. If the basics are already known, consistent repetition would be the only other viable solution. The content in which a test or exam is comprised should already be known to yourself for a vast period prior to participating in said test or exam, therefore utilising a study routine that provides consistent repetition of the problems or concepts of which you find difficult, should provide you with the greatest improvement (routine should include strategies from the video, especially working to timed conditions). This routine should begin in conjunction with your classes and should also mimic the order in which you are taught concepts. That is if you are taught concept 1 in week 1 of class, you should be studying concept 1 throughout week 1 as homework, until you are confident in your understanding of the concept. Ideally, you should not be studying concept 1 in week 2 whilst learning about concept 2 in class, you should already have a fundamental understanding of how to apply the concept from your study the week prior. If done correctly you should be doing revision leading up to the exam or test, not learning. This style of studying should prepare you for any questions that you struggle to comprehend, and therefore decrease you reliance on diffuse time within and exam or test. I am unsure if this will help, but I will post it anyway.
Writing things down really helps too. Just having a few sheets of papers with basics written on them, from which you can mentally derive all the conclusions you need on a topic. Also I gave the JEE Adv. and in it I used a simple 4 step method while both learning solutions to problems and then actively solving them. Situation Analysis, Concept Extraction, Data Collation, and Attack on Requirements.
That's really nice way to look at it. Will try these. Currently are you in IIT?
Thanks
This video changed my life! Diffuse mode and focus mode forever.
I kinda reminisce my past experiences with my Calculus 1,2, and 3. I have that very proud feeling of self-esteem and because of that I vigorously studied all of my Maths until I get nearly flying colors for my grades from all of those subjects. The process I take to study those Maths was embarrassing though, in my opinion, because almost everyday I repeatedly read and read all of my Calculus section topics until I can answer (without any flaws) any example problem I can find in there without digging into a much deeper level of understanding. My mindset in that situation was that -- by just getting the pattern and procedural techniques in solving a maths problem I can proceed to the next example one. And if I'm done with all of the section topics for the day, if I had extra time for the day, as much as possible, I'll try to repeat any similar problem within that topic scope.
So as you can see I'm actually just memorizing the patterns and techniques in solving a Calc problem and not digging into deeper understanding. I have grasp at this realization when my friend asked me something about an intriguing question from Calculus 1 regarding slopes, secants, and tangents. THE BIG THING that have happened was, even though I get a very good grade for that subject, I'm not able to explain it to my friend in an almost flawless manner like I used to solve Calculus example equations BECAUSE ALL I KNOW WAS THE PATTERN OR TECHNIQUE IN SOLVING ANY MATH EQUATION RELATED TO THAT TOPIC AND NOT THE QUESTIONS REGARDING WHY EQUATIONS OR RELATED MATHEMATICAL GRAPHS CAME INTO BEING.
So grades doesn't define your level of understanding of a certain subject. Repetition is a key I know, but repetition is also a tool for getting tricked by the illusion about Maths. Simply answering all math equation problems doesn't guarantee that you know deeply the concepts about Math. DON'T STUDY THE PATTERN, STUDY THE CONCEPT because it will lead you to better answering a math equation/problem.
This whole story of mine is attributed to a part of this RUclips video which is "When your stuck with a math problem, don't just always look at the solution for that problem and say OH! That's how they solved it, and then proceed afterwards". That quote is the worst way to learn a math concept and I've been a victim of this ever since. You need to work out the problem without any aid of the solution section, don't always rely on viewing the answer to the problem because if that's your usual attempt then there's a huge chance your going after "learning the technique/pattern and not the MERE CONCEPT".
With this video, my mindset kinda changed a little and surprisingly I thought of things about going back to study basic Maths such as trigo and basic algebra, getting B.S. Math. or making a RUclips video about solving a math problem in a new way. SO YEAH! A SIMPLE MINDSET CAN CHANGE MANY THINGS. :))
thx
Awesome video! I also would like to confirm that it's true, your mind can shift as you get older. I didn't like Math in High School and now that I'm studying Computer Science I'm in love with it!
I want to become a Aerospace Engineer one day, but I’m horrible at math and physics. This gives me hope.
💗💗💗 you can can
Hello there :D dropping my notes from this video here
- There are 2 modes of thinking. (Focused and diffused modes, both of them are important)
- Focused: highly focused
- diffused : relaxed and let your mind wander off(Break) and allows parts of your brain to connect and solve problems (background)
Einstellung effect-
Having a set idea formed about how to solve a problem which bars you from exploring new and more innovative ways to solve a problem (or better)
(Alternate between focused and diffused mode, focus intensely on a problem and when you are stuck take a break like a walk, shower, sleep and then get back to it in focused mode, will help you solve it better since you have a fresh look at the problem, remember to understand the basics at least, think well about it)
STUDY TECHNIQUES
- study daily! don't do it all in one go! Because it's a slow process.
- Recall material - read and then close the book and recite whatever you've learnt and then again repeat it ( the author said to do it at least twice but imma do it thrice)
- SOLVING PROBLEMS( DONTS)
1) Attempt the prob and look at the sol and move on (Try on a diff problem and that same problem some time later)
DOS-
-make sure you understand the basics before you start the problem
- work a problem all the way through(see solution unless you really need to)
- repeat and understand the whys not just the hows
-take a small break for a fresh mind
-Practice lots
-Dont solve too many similar questions but do try a few
- Mix up the problems and the sections ( Practice the exercises in a random manner just like on a test after understanding the whole concept)
- PROCRASTINATION
- Pomodoro (imma do it lay it down break )
-Focus on the process not the product
- Do the disliked jobs first
- Mental contrasting
( Picture Where you wanna be later on in life when you are doing it and why you are doing it)
- Patience persistent ( PERSISTENCE > INTELLIGENCE!!, (note to self: What the narrator said is so true you've been praised all your life for your "intelligence" but everything is working out for now but you know it well how badly you are about to fall behind your peers)
-Learning to learn
-things get fun when people are good at something, but when they are bad at something they get bored and not try so try to be ahead of your peers and show off! (works well)
- Switch your mindset (allows to beat the impossible)
Yeah so that's it My score in math on my last exam was 58/60 and in science I scored the same too unfortunately :/ .
Will try to
One of my lecturers used to call "Recall the Material" as "Teddy-talk time". He said spend time covering the material, and the try and recall it as if you were teaching it. When you are comfortable with walking up to a whiteboard or flip chart and fully explaining the proof, or section or topic, THEN you have a good level of learning.
There's still more after this, but it's a great start.
Actually the big problem for me in physics is visualization and it plays a very role of you understanding physics concepts.
Could you please comment on measures to increase visualization power , it would be a great help
After 4 years
Did you get any tips?
School expects us to learn but it never teaches us how to.
We are too young mentally for most of the concepts. But schools teach them because it looks good on their resume.
They don't want the slaves being too smart! Just smart enough to do complex jobs and not question the world around them too much.
Figures, scho was created to make sdiers and later adapted to make mass production employees
@@southernkatrina8161 true, I agree
@@halasimov1362 Idk man
Magnus Carlsen, the title grandmaster is an understatement for his talent. It's like comparing an average college professor to Einstein.
not really, magnus also holds the title of world champion.
Yes
Agreed
Magnus is known to be the best player humanity has ever known with world record fide elo rating, having defended his title as world champion 5 times
@@midascostly 5 times?
This is so true for diffused mode, I was so set on solving a physics problem, struggled on it but eventually went to sleep cos it got late. The next day, I tried it and thought with a more open mind, almost automatically making me see the method of solving it.
This is definitely right , as an anxious dude when i don't think of it (situation) it just gets better.
Me: *drops the negative sign when writing the final solution*
Whoops gotta do the whole problem over from the beginning
Yea... I definitely didn’t get distracted several times throughout the video, but at the same time really wanted to learn so I skipped back every time I missed something.
The funny part is that i do all of the "dos and donts" stated in this video and I'm doing quite good with my studies.
Another useful tip if you also really want to get to know a subject better is by acting like you can only compare yourself to yourself. Basically if you want to excel at something but someone from your class or one of your friends that are good at it make you feel less confident. Don't compare yourself to them but rather on your level, by doing this you can get rid
of any thoughts from your mind that compares you to others. Even if you don't feel confident in doing it or you just hate doing it, learn to do more of those things and try to act like you love it. If you like a subject more or you have a lot of interest in it, it can help you be confident in that subject, that way, you do not hate learning it.
Even if you do not really compare yourself to others but you just don't feel confident enough to learn it, just try, you can read books, watch yt videos etc on a certain topic that you do not like. It can help build confidence once you learn to love a topic more because the more you're interested in a topic, the better and faster you can learn it.
I'm speaking from experience here and i can say that this does help. Does not mean you need to do it this way, there are alot of things you can do to improve at any subject, but imp
loving a subject and putting more work into it helps alot if you really do want to improve👍
Super video! I applauded for $2.00 👏
Thank you so much for the most valuable lessons.
Thanks for the video! I'm a bit overwhelmed, thinking about the long road of math. Elementary algebra, intermediate algebra, algebra, pre calculus, calculus 1, calculus 2, calculus 3.
1.Have diffuse and focused thinking
2.Read what you have read then recall it for a few times
3.after you solve a math question by seeing the solution do another same question
4.dont procastienajate
Thanks !
Procrastinate**💯
Start learning...then you will get better...there is no shortcut, but this video is realy helpful
I finally know why I have some flaw on my learning path, cuz I have pride of thinking that I am good enough, to not to learn other technique, thx zach for bringing me back.
Awesome content, thanks
10:30 - 10:00 is the type of Advice David Goggins gives people. Great stuff Majorprep
You should get more subscribers.
Thanks for the video btw. For someone like me who didn't learn math in all my high school years and now learning Math by myself to get into college to study Computer Science, this is gold.
After watching this video
I now think that I can't achieve my goal in my Life
And now I feel like the chosen one
Thanks a lot brother for this video and thanks my beautiful Universe and RUclips for recommending me this video
Im not sure if this is off topic but the diffuse mode thinking actually can be involved with art. For example, if you are struggling drawing a hand, just get distracted for a bit and once you come back to your drawing your mind is fresh and you know how to fix it.
This book literally changed my life. Not kidding, even though diffuse vs focused thinking was enlightening, the part of the book that really shaped my learning was "over-learning vs interweaving". This was the part I was doing wrong. I think you should make a video focusing on that part.
I read the book and I'm doing the online course and it's great!
Literally hated science at high school and failed it too. Now I’m reading up on it and I now see how many interesting things that have been discovered (or will probably never be discovered).
Yeah high-school makes a lot of people hate math even though it can be interesting.
When you were watching a MajorPrep video...
Then he uploads a new one. 😃😃😆😃
Idk why I clicked on this video even though I'm already good at math and science, but the stuff he's talking about can be really useful for all sorts of other things and I noticed that even I do some of these things that he talks about, great video and how I always think don't just know understand
What a coincidence that this video was recommended to me after I figured out a question from my maths homework by leaving it for a few hours... I was walking home from school when I had an epiphany on a difficult question on my maths. Great video!
This is a really great video and it has really put my mind at ease. The idea in my head that persistence is more important than intelligence when learning is really going to help me in my last year of high school and finals. Thank you!
Glad it helped! Thanks for the comment!
Yo! This video was so dope! Thank you!
Thanks!
I always do the einstellung effect, because I'm someone who does things the way that works for me, although it's not the most reliable way
The focus and diffuse mode helped me a lot while learning the piano scales. This works for music too!
When I was a grade 1 student I got 15/100. After some years I saw my brother reading and practicing it. I enjoyed repeating what my brother done. After that I scored the best grade in Math's at school. I enjoyed it, I didn't have any stresses for getting good grades but I scored the best in Math's since grade 5!
You’re such a good guy holy shit
in my unit test in maths I got 12/30 just pass .
but in 80 marks I got 76/80...
really maths is a beauty of science
Math and science are both products of satanic freemasons so congrates
Stefan Djordjevic there own movements and motivations. What they believe in and what they. Try to hide
avrajit tech
@@Azrael42016 a lot of scientists pre 1900s were Christian theologians. What are you going on about?
@@Azrael42016 What a troll. You can do better than that.
3:00 that's me whenever I'm programming and I'm stuck. Take a break and it randomly comes to me
When I was in Junior High School, I'm one of the most student that is bad in mathematics and science. I am having a hard time understanding trigonometry, geometry, and algebra (I know how to do binomial though) which caused me to say negative things to myself.
To be honest, I don't really have interest in learning because they are boring for me back then. The only subject I was good at was English and to this day, I think of myself as below average in english.
Until I became Grade 11 and I began to take things seriously because I don't have much time and also I don't want to stay like that so I decided to improve myself in every way.
After some time, I noticed changes especially my improved grades (which was always low) and managed to be the top of the class and get into one of the achiever in the school.
What I want to say is that hardwork and persistence does pay it off and reward you with greatness.
6:45 and I think interleaving the problems. Studies show is helpful too. Like if you did one problem of one type, then, the next type than the next time, then, if you have time do one of each type again. This helps you get ready to figure out what type of problem you’re looking at.
Very good quality. Thumbs up
Thank you!
2:35 Einstellung Effect - get fresh approach to problem
Sounds like csgo focus mode focus and kill the enemy defuse mode defuse the bomb
Thats exactly the point of the video youre a GENIOUS already
Terrorists win
@@dutchvanderlinde9013 r/cursedcomments
Thanks for mentioning that lady who struggled at math but changed her mindset to be good at math. I’m going through that right now.
Beautiful video man.
Cheers from Bolivia 🇧🇴
“2 minutes, maybe an hour”
Can you please answer one of my question ?
Why do we have to physically practice maths to get the concept and why don't we get the concept by just seeing the solved problems ?? Kindly answer
My Name because there are things within the problem that you don't know yet, and that won't be apparent by looking at the answer, so they have to be explained to you.
Also, that is just how humans learn. Repetition drills it into our head until we don't have any gray areas because we have done it so many times.
Try to look at a photo of a really messy room and memorize everything you can. Then turn away and see what you can recall. The second you turn away you will realize you don't actually remember a lot of what you were looking at, even though you'd probably assume that you do. Same kind of thing with math. I have tutored students and shown them a solution and they say they get it, then I gave them the problem again 5 minutes later and it's amazing how often they can't do it.
MajorPrep lovely.. thank you very much!
Gamerred thanks mate
My Name well,U would if U WERE the Person who produced the solution .I don t believe repetition is as important as INTITUTION
Watched this twice and I'm still shit at math
Try for a third and you'll be fine lol
because you don’t learn math just by doing a couple of problems, i believe it would take the average person about 4-5 months to say they grasped and master must of the concepts in algebra but even then their still not masters, math is a language just like any other, in fact it is universal its something you learn over time, just like languages (spanish, english etc) your brain expands and gets accustom to keep flow of all the information you’re learning,so struggle keep practicing, atleast practice for an hour or 30 minutes a day and you’ll see results eventually
Because you have to apply things mentioned in the video, not just watch it.
I usually take a nap during exams and it freshens my mind up to continue with next questions. It actually helps when I'm stuck on a problem or my mental focus is dwindling.
Thank you so much for this video. I can see these methods working out, and I'll try them.