1) 0:08 Be able to explain it 2) 1:31 Practice makes perfect to build up conceptual memory 3) 4:19 Be disciplined and have a study schedule, don't procrastinate
3) Break up your study into smaller sessions instead of a massive study session. Research has shown, for example, that instead of studying for 1 hour in one night, it’s much more effective to study 20 minutes over 3 nights or 15 minutes over 4 nights! Break the learning up AND space it out! That’s really what he’s saying here! The other two are good!
Oh my god, the conceptual memory thing makes so much sense. Ive had problem with these careless mistakes since first grade. This is the first tip that genuinely makes sense.
That part about conceptual memory was super valuable. I had an exam where we had to use the discriminant and the quadratic formula for some of the questions, I used them and kept checking if I had it right multiple times throughout doing the question, I felt confident I had it right. I got my results back and I got both of them wrong. I spent so much time focusing on using the quadratic formula and the discriminant that I entirely forgot that the letters aren't the absolute value of the number but also the + or - in front of the number. RIP like 3 marks from not realizing a was -6 not 6.
@@aaabbb-py5xd yeah, basically u fail it the first time and retake it in the finals of next semester with your juniors (it’s also called a supplementary exam in other universities)
The first tip can be enhanced if you explain it to somebody who is also studying the same thing. It helps both of you work out those little things that you got wrong while studying it.
Great break down of study hints. Also, very timely. It's almost as if there are exams around the corner for Yr12. 😅 Nice work with the two angles as well. (Camera angles, not being obtuse)
Feeling quite reassured that these are all little habits that I've caught on to throughout my schooling up to where I am now in year 12 doing math methods and specialist. Cannot endorse these tips enough!
Thank you so much Eddie, you make learning math so much fun and make easier than ever ❤ I have one request, can you please bring problem solving courses on yt? Olympiad oriented problem solving?
You’re a real inspirational teacher Eddie, you make mathematics interesting, which it is. More maths teachers need your skills. Can I set you a question? What is the square root, of the square root of -1? I’ve worked it out, will you?
Great video Eddie! I found the conceptional learning one really good, because ive struggled with "careless errors" a lot in the past. So to confirm, the primary way to improve our conceptional learning is to keep practicing the problems?
When I doubt skeptical charts in mass media during Covid pandemic, I searched statistics in Western country and happend to come across to this site and grew my confidence. Thank you so much. Everything was miracle for me.
Here's my method for tip 1 since I don't wanna bother anyone explaining stuff: 1. Learn how to solve a problem and then solve it 2. Move onto a different kind of problem and solve that one 3. Go back to the first problem and without looking at your previous solution, reread the question and try to type up a simple step by step tutorial on how to solve it that could be followed by someone brand new to the material / that you would have liked to have when you were trying to learn how to solve it 4. repeat The speed at which I understand concepts has gotten waaay faster since I started doing this. I really only have to do a couple questions per major concept now whereas before I could be practicing tons and still get stuck on the exam.
Whether you know it or not, you’re incorporating some really great learning devices: 1. interleaving-working on several different types of problems at once. 2. Quizzing-working through a problem WITHOUT looking at/referring to any notes or cards-straight from your memory. Those are two of THE most effective study/learning strategies! Keep it up!🎉
I like how you explained that spacing things out is good, because it gives your brain more time to create those neural pathways and also tells your brain that it's important. You created a small habit out of it. So, little bits of studying over a longer period of time versus cramming in a few days, is better for learning from a neurobiological perspective.
Everyone is different but this tip is THE gold standard for learning something new. Tons of research has shown this to be one of the most effective strategy for learning! You may have been successful cramming and/or have a phenomenal memory but if you combine that talent with distributed (spaced) practice you’ll be even MORE successful! Read the research on “distributed (spaced) practice”-there’s a ton and it’s life changing!
🎯 Key Takeaways for quick navigation: 00:00 📚 Explicar lo que estudias a otros profundiza tu comprensión y claridad en el material, y te ayuda a entenderlo en un nivel más profundo. 01:23 🔍 Los errores "tontos" en matemáticas a menudo están relacionados con la falta de memoria conceptual; construir memoria sobre conceptos clave puede reducir estos errores. 04:24 📆 Distribuir el aprendizaje en el tiempo (en lugar de hacerlo en el último momento) ayuda a retener información a largo plazo y mejora la calidad del aprendizaje.
An extra tip for those who find it difficult to focus on study, or indeed any necessary tasks like housework or whatever (ie to not procrastinate), TLDR : Bore your mind (on other non-study things). There was a study done which showed that people stuck in a room with nothing else to do but give themselves an electrical shock, would give themselves an electrical shock. What this shows (other than that people are idiots) is that our brains can't stand being bored and will try to fill the gap of nothing with something. So if you find yourself continually being distracted by other things and not being able to study, choose one amongst those other things and stay away from the rest. The 'one other thing' that you choose as your alternative activity to study should be as non-stimulating as possible. *Nothing that uses an electronic device.* Something relatively calm that doesn't engage too many of your sensory inputs at once which, while enjoyable, will not be able to keep your brain's entire attention for too long -> which should then make it easier for you to switch back into study mode. This way you aren't a slave to your study. You aren't completely depriving yourself of any enjoyment. You're simply limiting yourself to a type of enjoyment that will make it easier to bait your mind willingly back into study mode. Making your study/study area more interesting also helps. Egs : having a doodle pad nearby to engage your creative brain when you're stuck on something. Like Eddie's first suggestion, be able to explain a problem to a third party... but dress it up a little : pretend you're Gru having to explain to his minions how they need to grasp this otherwise your next dastardly evil plan will fail!! If studying is fun, then your mind won't be so easily distracted by those shiny shiny other things over there because they're probably not as fun.
Professor, I love your videos. And they are helping me a lot and I completely agree with your tips and especially the first one, if we understand something we must be able to explain it. 🍂☕
That's not true though. Thought experiment, imagine someone who was raised without language. He could figure things out but not be able to explain them since he doesn't have any words.
Introduce student to simplified linear proofs. The have them do every homework problem in that format. State the problem, and write down the justification of how they get to the next step. This lets them and you figure out how they came up with the wrong answer. And, what they may want to spend a little extra time studying.
0:55 : actually, French poet Nicolas Boileau (XVIIth c.) had a similar saying : "Ce qui se conçoit bien s'énonce clairement et les mots pour le dire viennent aisément." ~what you really understand is properly explained, and the words to do so come easily.
About tip 1: For that to be true, we must assume that being able to articulate thoughts on a given topic is solely influenced by how comprehensive your knowledge on the itheme is; otherwise, one can understand very well a given topic and at the same time can't explain it. I wonder whether we can actually assume that.
I have been a Licensed Professional Civil Engineer for 36 years. For me, I am a visual learner. I have to see something and talk it through for it to make sense and get filed into my brain. Videos, pictures, graphs, drawings, etc. I need to solve problems slowly and double check my work as I go. This made tests, quizzes, exams, etc. nearly impossible for me. There are many kids who are brilliant but are mired in an education system that is based on books and reading.
Funny, the explaining it tip is the same one my most inspirational teacher also said. He would add that it doesn't matter if it's hard to find someone to listen, you can explain it to your dog.
Break it up! Mix it up! Teach it to a younger brother/sister/cousin in a way that they can understand! 1. Break it up-don’t do huge study blocks-break them into smaller sessions! For example, instead of nine 1 hour blocks in one day, do 18 30-minute sessions over 3 days, or better still do 36 15-minute chunks over 7 days! 2. Mix it up-when you study, don’t work on only one type of question (or subject), do lots of DIFFERENT types of problems TOGETHER! 3. Try to explain what you’ve learned to someone who doesn’t have your level of understanding. Forcing yourself to try to simplify will force you to go deeper! Good luck!
Hello sir I'm Azad swamim from India I'm doing my graduation in mathematics. I want to complete my master's degree under your teaching from Australia.... Please suggest me...
I totally agree with your first tip, but I think it's just as effective and certainly kinder on your friends or family members to just pretend that you're explaining it to someone. It is also interesting to contrast Feynman's quote about being able to explain something simply with his somewhat infamous answer to being asked "why do magnets attract?" (ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-Q1lL-hXO27Q.html).
"Every week or Fortnite"...oh forget studying, I am going to play Fortnite! ;) ...I think those are great tips but I want to add that one should look ahead in life and try to realize learning is great in life whether you make a career in math, science or engineering--or something else. Math comes up in cooking, making a garden, building a shed or at a party to impress friends. Math is everywhere, as is chemistry, language, history and civics. Learning this stuff not only helps with careers, it makes you a more interesting person socially--and even a better parent. If you are going to spend your time learning, don't waste it.
Bit half baked. - Step 1 understand the process of learning and memorizing via cognitive load theory (CLT). Explaining things *clearly and accurately* in your own words is certainly important in assisting germane memory to persist and integrate them into your knowledgebase, but it's not the full story. Intrinsic and extraneous cognitive loads exist and ignoring them, would mean that despite how quick witted someone may seem, they'd be unable to learn anything of any significant size or depth. - Step 2 explain different ways of framing explanations to tailor making notes to the individual. Maybe they have better spatial or kinesthetic awareness. In which case framing explanations that engage those parts of the brain which show more advanced development in the individual, should also assist in their understanding. Those "silly mistakes" you mention. True it could be negligence in learning, but it's more likely to be a parsing error. This can be down to 2 reasons: 1. Germane memory has integrated something in the wrong way. Thus the same mistake should be repeated on all similar questions of an exam. 2. The question is asked in such a manner that is unfamiliar, thus the mapping between the existing understanding isn't formed properly and mistakes are made. Testing ones wit in addition to testing ones effort in exam conditions that could determine your future is a little cruel i think.
Isn't "half-baked" rather harsh, not to mention off-base? He's giving "3 Studying Tips", not presenting a comprehensive analysis and recommendations on the process of studying. You seem to be expecting a thorough, detailed description, where he is giving highlights. You might get the best benefit from the tips by matching your context to his and then set the depth meter for your understanding and reaction.
