There’s no better feeling than taking a math exam and seeing the first problem and knowing exactly how to solve it. Our reliance on the internet kills our confidence and intuition.
I taught myself algebra, trig, geometry, pre calculus and calculus by age 11 and won local, regional and national awards for individual and team math competitions in grades 7-12 and consider myself a “low-end” genius since I was on teams with people who were more talented than I was and were more precocious in their development of what people call “mathematical maturity” in graduate school when assessing progression towards a PhD for developing new theories and inventions in the field
pre-calculus and algebra-geometry are kind of the same thing, also trigonometry is just a subset of geometry, i would reformulate it like this: "I taught myself algebra, geometry, and calculus by age 11 and..." adding more items to the skillset doesn't make you look smarter or something... it's all about quality and not quantity, if you really know algebra you really should know what a longer equation doesn't mean it is harder than a smaller...
@hatman-rc2vc Actually "Pre-calculus" was my shorthand for Logarithms, Exponentials, Polar Coordinates, Logic, Set Theory, Basic Discrete Math, Numerical Analysis, elementary Group Theory, proofs, and linear algebra ..I know Math Sorcerer might call these post-Calculus courses needed for Analysis, Topology etc that one might take as a Sophomore Undergrad, but frankly I think these are so foundational that they OUGHT to be taught BEFORE doing Calculus and ODE. The Geometry was euclidian AND non-Euclidian geometry with proofs thus a bit different than "trigonometry" which is very equation-based or algebraic rather than proof-based. BTW the people with whom I was on those math teams (in the early 1980s) competed in INTERNATIONAL Olympiads (I did NOT) and got near perfect scores on the Putnam Exam in college (while I got in the 20s) and they went on to get Math PhDs "early" (as in by age 20 or so)...I would equate it to being good enough to be in the Major Leagues and be a strong player on a good team but they were Hall of Famers while and I was "pretty good". I DID get into four PhD programs (with support) planning to do a thesis in Analysis but- as my "user handle" suggests- I was greedy and went into the financial industry instead as an actuary. Only LATER, while still working, I went back at night to get a Masters in Financial Engineering but with a theoretical focus in analysis, stochastic calculus, controllability and stability of systems of differential equations along with numerical methods of solving these in the "real world".
This feels like the issue I had with Precalc. I know deep down I wasn't retaining enough to do the problems cold. Aced the class but not without at least having the formulas in front of me. There just wasn't enough time to memorize everything while juggling other classes. Hopefully I can carry over enough to pass Calculus 1 in the winter.
This is how to structure the class to be far better: Short lecture (no longer than 5 or 10 min) Do a problem Have all the students do a problem Help the students who are stuck Repeat. Homework is overrated because students dont have any professional help at home or outside of the class.
I gotta a BOOK With Amazing Way Starting with a Note - Each section in it is preceded by a problem set, the objective being to motivate you by exposing you to the problems which are forerunners of the concepts and techniques that will turn up in the section. These are called MF problems. By attempting them before you start a section, you will have tuned yourself to what is going to appear in the section. The most amazing thing is you can apply it everywere else 😁
I failed my math test which is not like the big exam which determines my grades but it’s still very hard for me to pass tho. So I would like to get good advise how I can pass I have two weeks left pls help
I was great in caculus in highschool, scored near perfect for the course. I did ok in algebra high 80s. Once I got to the university of waterloo and did some 2nd year proofs courses....i was like what the hell is this shit. I couldn't make heads or tales of it. Needless to say I decided right there I knew I did not have what it took to do well in university math. Maybe I just didn't have the foundation for it, but nothing was making sense and it took way too long to learn. In university when you have limited hours to study, if you're a slow learner you're pretty much screwed.
how do you transition from doing the problem with resources in front of you to not having them at all? i worry doing the same problem again just emphasizes memorization of the problem rather than mathematical understanding.
I agree- you should NOT practice with books only AFTER reading and understanding those books. I had an excellent math teacher in 9th and 12th grades who said, Read a book on "How to Swim" and jump in a swimming pool and drown. Practicing without a net, so to speak, is how to understand the principles and WHY the math works. As an undergrad I was a TA for Calculus I and Calculus 2, and I used the weekly recitations to teach the ANALYSIS underlying the Calculus and giving gruesome problems with proofs and with computation and my recitation group had 7 or 8 people out of 25 land in the top 20 of the 600 person lecture course...the key was to make the quizzes and practice HARDER than the actual course homework or exams so that they would seem easy by comparison
An idea I have had, is the idea of space within space.. how small do things get- in principle! It turns out, that space can get so small, that you could literally fit an entire galaxy inside an atom. That is how deep space is. There is something to all this!
Can you explain what you mean when you say that "without using any resources"? You do need to know how to solve a certain type of problem, so like formulas etc right? I mean you do need to know the basics for that problem type.. is all that considered as using resources?
no, he means internet or textbook. like references. if you can solve using only knowledge in your brain that you've already memorized then you're 'doing it cold' so to speak
I understood the concept of mathematical representation in the form of graphs, pie charts and sets when I was quite young (before the age of ten). When they made their first appearance in a high school math class I knew what they were and understood them almost immediately, impressing my teacher. However when it came to arithmetic, I struggled. I got average grades, sometimes B’s. I still have trouble working with sevens and nines.
I am taking Elementary Number Theory for undergraduates in Spring 2025. Any advice for studying for the course? I have a mild learning disorder, my accommodations will be sent out to my professors. I have made C's in my 3000-level math courses that have been proof-based due to tests. I know will have to practice my proof writing and memorizing or knowing definitions. Any other suggestions on how to study the course for an A?
Hmm as one who has formally studied both mathematics and psychological science, I would like to chime in. I once taught a young boy in a class of middle schoolers after graduating college. He was homeless, his single mom in and out of prison. He had intense PTSD and absolutely terrible behavior problems. But... give that child an interesting math problem and he would instantly just change and quietly work on the challenge. He was easily 2-3 years above his grade in natural ability and had a natural aptitude for thinking about mathematical things. Not necessarily disagreeing, but I would add that profound curiosity, a sense of wonder, and an ability to act on these two are what really defines geniuses, no matter the discipline, trade, or craft. Savants are all too popular in the mathematical world, but being a savant is not a necessary nor sufficient condition to be a genius IMHO.
Some students are lazy to do their homework and fail in their test and underestimate their talent. Students require some guidance to do their homework. This is not possible always. I was not a homework boy even though I love maths. Try to do your homework is the first and keep doing it is the next step.
Yes, I am a math genius, but I am completely disintrested in learning math because I find the terminology and notation a total hassle to understand wtf are they even asking for. Take the Riemann sum hypothesis, I can't even read wtf that equation is all about or what they are even asking for as a solution. A total bother to try to decode math jargon, when I am sure the problem could be stated in a normal way... Anyways, I considering to solving the question to spite all the people who think they or people they know are smart that are on the internet and have the accomplishment to throw in thier face when I get irrated. like without even bothering to learn what that equation even means because it is too much of a hassle and not even neeeded.
sitting in a room with just a pen and paper doing a problem all by yourself without any external help, all you use is: the thing you're solving, the thing you're solving on & the thing you're solving with (problem, paper & pen)
To me it doesn't make much sense. I think the first time you complete a set of activities, you should at least use resources. Then the second time, you should do it cold.
I always have most of the in my test like I've never seen before I got good marks but from some days I'm loosing interest even if it's my favourite subject Please reply to my problem I can't email u about it
The lighting was not flattering you in this video. Try having a darker backgdrop, or having the fireplace a little further back from you, and further unto the corner opposite of which ever side youre on. I suspect the biggest issue is that the brick wall is redder than you, so the color correction software is auto adjusting your skin to look slightly paler than usual instead of the natural pinkish tone You might also be able to correct this with more color diversity, like a green leafy plant or a bookshelf. Or not wearing clothes that are a relatively similar shade of color as the background. I've seen some studios using a uniform but contrasting background (like a mostly white or black setting) but I'm not sure how that works. Worth looking into, and experimenting with it.
There's no such thing as a bad student. Only bad teachers. Most professors don't care. Indifference is contagious. If the professor doesn't care, the students will not care.
Absolutely not true. Many students only show up to class. I watched those students fail Calculus II miserably. There is nothing an instructor can do to save students from themselves in certain courses
@@BrownStain_Silver Well, the Math Sorcerer just gave an example of what can be done. If the professor just shows up, give a lecture and a test without giving a reason to the students that motivates them to do the effort, of course you are going to see failure. Math is an ability that is acquired, not memorized, therefore, all math instructors have to do a good job, so, the students do not have gaps in knowledge and ability, so, they can succeed in the advanced courses. Your statement demonstrates that the professors you have seen just did the bare minimum to get a paycheck.
@@causalitymasteredJust no. I had an excellent instructor and earned an A through hard work. Many around me may have been more intelligent but didn't put in the 10-15 hours of work required each week. If you want the grade, go earn it. If you fail, start by looking in the mirror.
@@causalitymasteredTypical answer in 2024. It's someone else's job to motivate you to challenge your own abilities and push yourself further than you previously thought you could go. Best of luck to you.
No, I'm not. I'm just too stubborn to give up. 🥲 And the process of solving a math problem is fun to me. It's like drawing and painting. The end result is nice, but the process of drawing/painting is what makes it amazing. The planning, and seeing it unfold is beautiful to me.
![I.N "HALLUCINATION" | [Stray Kids : SKZ-PLAYER]](http://i.ytimg.com/vi/n5B5q1Hwt_U/mqdefault.jpg)
I'm just 200,000 word problems away from discovering my inner genius.
"MORE BLUE-LINE PAPER & #2 PENCILS!!"
Keep on keepin' on!
There’s no better feeling than taking a math exam and seeing the first problem and knowing exactly how to solve it. Our reliance on the internet kills our confidence and intuition.
Mathematical understanding, originality, and creativity are really groovy!
The student took the invaluable step to ask for help.
Remember, all of these Instructors work for you: don't hesitate to approach them with questions.
Exactly right!!
One thing that might help is to examine what went wrong when you get the wrong answer. It helps clarify the mistake and Corrects the thinking process.
Man, your positivity!!!, Thank You.
you are such a great teacher and truly encourage me to improve my math skills, thank you, math sorcerer!
I taught myself algebra, trig, geometry, pre calculus and calculus by age 11 and won local, regional and national awards for individual and team math competitions in grades 7-12 and consider myself a “low-end” genius since I was on teams with people who were more talented than I was and were more precocious in their development of what people call “mathematical maturity” in graduate school when assessing progression towards a PhD for developing new theories and inventions in the field
pre-calculus and algebra-geometry are kind of the same thing, also trigonometry is just a subset of geometry, i would reformulate it like this: "I taught myself algebra, geometry, and calculus by age 11 and..." adding more items to the skillset doesn't make you look smarter or something... it's all about quality and not quantity, if you really know algebra you really should know what a longer equation doesn't mean it is harder than a smaller...
@hatman-rc2vc Actually "Pre-calculus" was my shorthand for Logarithms, Exponentials, Polar Coordinates, Logic, Set Theory, Basic Discrete Math, Numerical Analysis, elementary Group Theory, proofs, and linear algebra ..I know Math Sorcerer might call these post-Calculus courses needed for Analysis, Topology etc that one might take as a Sophomore Undergrad, but frankly I think these are so foundational that they OUGHT to be taught BEFORE doing Calculus and ODE. The Geometry was euclidian AND non-Euclidian geometry with proofs thus a bit different than "trigonometry" which is very equation-based or algebraic rather than proof-based. BTW the people with whom I was on those math teams (in the early 1980s) competed in INTERNATIONAL Olympiads (I did NOT) and got near perfect scores on the Putnam Exam in college (while I got in the 20s) and they went on to get Math PhDs "early" (as in by age 20 or so)...I would equate it to being good enough to be in the Major Leagues and be a strong player on a good team but they were Hall of Famers while and I was "pretty good". I DID get into four PhD programs (with support) planning to do a thesis in Analysis but- as my "user handle" suggests- I was greedy and went into the financial industry instead as an actuary. Only LATER, while still working, I went back at night to get a Masters in Financial Engineering but with a theoretical focus in analysis, stochastic calculus, controllability and stability of systems of differential equations along with numerical methods of solving these in the "real world".
This advice is so helpful. Thank you.
This feels like the issue I had with Precalc. I know deep down I wasn't retaining enough to do the problems cold. Aced the class but not without at least having the formulas in front of me. There just wasn't enough time to memorize everything while juggling other classes.
Hopefully I can carry over enough to pass Calculus 1 in the winter.
I’d like to hope it’s hidden in there 😂
This is how to structure the class to be far better:
Short lecture (no longer than 5 or 10 min)
Do a problem
Have all the students do a problem
Help the students who are stuck
Repeat.
Homework is overrated because students dont have any professional help at home or outside of the class.
I gotta a BOOK With Amazing Way
Starting with a Note -
Each section in it is preceded by a problem set, the objective being to motivate you by exposing you to the problems which are forerunners of the concepts and techniques that will turn up in the section. These are called MF problems. By attempting them before you start a section, you will have tuned yourself to what is going to appear in the section.
The most amazing thing is you can apply it everywere else 😁
Great video
Exactly. And use a stopwatch to time u doing work. Always helped me
I failed my math test which is not like the big exam which determines my grades but it’s still very hard for me to pass tho. So I would like to get good advise how I can pass I have two weeks left pls help
my math genius is found in the imaginary axis😢
I was great in caculus in highschool, scored near perfect for the course. I did ok in algebra high 80s. Once I got to the university of waterloo and did some 2nd year proofs courses....i was like what the hell is this shit. I couldn't make heads or tales of it. Needless to say I decided right there I knew I did not have what it took to do well in university math. Maybe I just didn't have the foundation for it, but nothing was making sense and it took way too long to learn. In university when you have limited hours to study, if you're a slow learner you're pretty much screwed.
Agreed
how do you transition from doing the problem with resources in front of you to not having them at all? i worry doing the same problem again just emphasizes memorization of the problem rather than mathematical understanding.
I agree- you should NOT practice with books only AFTER reading and understanding those books. I had an excellent math teacher in 9th and 12th grades who said, Read a book on "How to Swim" and jump in a swimming pool and drown. Practicing without a net, so to speak, is how to understand the principles and WHY the math works. As an undergrad I was a TA for Calculus I and Calculus 2, and I used the weekly recitations to teach the ANALYSIS underlying the Calculus and giving gruesome problems with proofs and with computation and my recitation group had 7 or 8 people out of 25 land in the top 20 of the 600 person lecture course...the key was to make the quizzes and practice HARDER than the actual course homework or exams so that they would seem easy by comparison
I needed this...badly.
An idea I have had, is the idea of space within space.. how small do things get- in principle! It turns out, that space can get so small, that you could literally fit an entire galaxy inside an atom. That is how deep space is. There is something to all this!
Thanks Jeff Bezos, I'm now a mathematician.
Thanks for being a prime customer:)
Can you explain what you mean when you say that "without using any resources"? You do need to know how to solve a certain type of problem, so like formulas etc right? I mean you do need to know the basics for that problem type.. is all that considered as using resources?
no, he means internet or textbook. like references. if you can solve using only knowledge in your brain that you've already memorized then you're 'doing it cold' so to speak
Sometimes I guess I just prefer to think i could be, than to know that I'm not.
I understood the concept of mathematical representation in the form of graphs, pie charts and sets when I was quite young (before the age of ten). When they made their first appearance in a high school math class I knew what they were and understood them almost immediately, impressing my teacher. However when it came to arithmetic, I struggled. I got average grades, sometimes B’s. I still have trouble working with sevens and nines.
I am taking Elementary Number Theory for undergraduates in Spring 2025. Any advice for studying for the course? I have a mild learning disorder, my accommodations will be sent out to my professors. I have made C's in my 3000-level math courses that have been proof-based due to tests. I know will have to practice my proof writing and memorizing or knowing definitions. Any other suggestions on how to study the course for an A?
I also started early watching youtube lectures on the course, Dr. Richard E. Borcherd is who I am learning from. I am 4 lectures in
Hmm as one who has formally studied both mathematics and psychological science, I would like to chime in.
I once taught a young boy in a class of middle schoolers after graduating college. He was homeless, his single mom in and out of prison. He had intense PTSD and absolutely terrible behavior problems.
But... give that child an interesting math problem and he would instantly just change and quietly work on the challenge. He was easily 2-3 years above his grade in natural ability and had a natural aptitude for thinking about mathematical things.
Not necessarily disagreeing, but I would add that profound curiosity, a sense of wonder, and an ability to act on these two are what really defines geniuses, no matter the discipline, trade, or craft. Savants are all too popular in the mathematical world, but being a savant is not a necessary nor sufficient condition to be a genius IMHO.
Can I use textbook? Or just do exercises without textbook at all?
Can we see the nb probs to understand the approach and then do the tb probs on ur own
You look like AwakenwithJP ( comedian youtube guy)
I’m definitely not a math genius
No I am dumb in maths 😢
Don't Say that!! You can!!
Some students are lazy to do their homework and fail in their test and underestimate their talent. Students require some guidance to do their homework. This is not possible always. I was not a homework boy even though I love maths. Try to do your homework is the first and keep doing it is the next step.
I sometimes feel like a moron. I wonder if there is hope for me.
i can't even count
Yes, I am a math genius, but I am completely disintrested in learning math because I find the terminology and notation a total hassle to understand wtf are they even asking for. Take the Riemann sum hypothesis, I can't even read wtf that equation is all about or what they are even asking for as a solution. A total bother to try to decode math jargon, when I am sure the problem could be stated in a normal way... Anyways, I considering to solving the question to spite all the people who think they or people they know are smart that are on the internet and have the accomplishment to throw in thier face when I get irrated. like without even bothering to learn what that equation even means because it is too much of a hassle and not even neeeded.
I didn't understand what he meant by doing the questions "cold" and not using resources
sitting in a room with just a pen and paper doing a problem all by yourself without any external help, all you use is: the thing you're solving, the thing you're solving on & the thing you're solving with (problem, paper & pen)
To me it doesn't make much sense. I think the first time you complete a set of activities, you should at least use resources. Then the second time, you should do it cold.
I thought I was but then I realize that I am not. :(
Makes me wonder. Perhaps we should be taught how to study math before we even learn math. 🤔
We are looking for Math Anxiety medicine 💊 are we going to get soon?
No , i'm not a math genius i'm only a problems solver
I always have most of the in my test like I've never seen before
I got good marks but from some days I'm loosing interest even if it's my favourite subject
Please reply to my problem I can't email u about it
Brown contacts NOW
You're "bad at Math" ... now.
God answers prayers, you know...
😂
By the way... I was only lips-praying without any sounds then...
😂
The lighting was not flattering you in this video. Try having a darker backgdrop, or having the fireplace a little further back from you, and further unto the corner opposite of which ever side youre on.
I suspect the biggest issue is that the brick wall is redder than you, so the color correction software is auto adjusting your skin to look slightly paler than usual instead of the natural pinkish tone
You might also be able to correct this with more color diversity, like a green leafy plant or a bookshelf. Or not wearing clothes that are a relatively similar shade of color as the background. I've seen some studios using a uniform but contrasting background (like a mostly white or black setting) but I'm not sure how that works. Worth looking into, and experimenting with it.
Nope...😂
Hi never been good at maths but good luck to everyone that are good great video 😊
Come on you can do better than highlight that topic
There's no such thing as a bad student. Only bad teachers. Most professors don't care. Indifference is contagious. If the professor doesn't care, the students will not care.
Absolutely not true. Many students only show up to class. I watched those students fail Calculus II miserably. There is nothing an instructor can do to save students from themselves in certain courses
@@BrownStain_Silver Well, the Math Sorcerer just gave an example of what can be done. If the professor just shows up, give a lecture and a test without giving a reason to the students that motivates them to do the effort, of course you are going to see failure. Math is an ability that is acquired, not memorized, therefore, all math instructors have to do a good job, so, the students do not have gaps in knowledge and ability, so, they can succeed in the advanced courses. Your statement demonstrates that the professors you have seen just did the bare minimum to get a paycheck.
@@causalitymasteredJust no. I had an excellent instructor and earned an A through hard work. Many around me may have been more intelligent but didn't put in the 10-15 hours of work required each week. If you want the grade, go earn it. If you fail, start by looking in the mirror.
@@BrownStain_Silver The work ethic is part of the instruction.
@@causalitymasteredTypical answer in 2024. It's someone else's job to motivate you to challenge your own abilities and push yourself further than you previously thought you could go. Best of luck to you.
No, I'm not. I'm just too stubborn to give up. 🥲
And the process of solving a math problem is fun to me. It's like drawing and painting. The end result is nice, but the process of drawing/painting is what makes it amazing. The planning, and seeing it unfold is beautiful to me.
You are ok
maths goes from numbers to letters to Egyptian hieroglyphics.