Best Techniques for Efficient Math Learning in Today's World

  • Thread starter Thread starter KINGBOB28
  • Start date Start date
  • Tags Tags
    Abstract
KINGBOB28
Messages
1
Reaction score
0
In today's world its not enough just to learn things. You have to be able to learn them fast or you will never accomplish very much. Mathematics can of course be quite difficult to wrap your head around at times and so if one can learn mathematics quickly and efficiently then there are few limits to one's capabilities. The question then is: How can one maximize one's efficiency in learning something abstract and at times difficult like math? Please share your experiences and advice. Thanks
 
Mathematics news on Phys.org


well I am still learning personally, from my experience there is no quick way to learn math unless your a genius, you just have to gain a general understanding of what math is, then start from the bottom and work your way up

plus, if you rush learning math you may not be building a proper foundation of elaborative understanding, so when you work you go to try more complex math youll get lost

just takes time, work away through the types of math, do any problems you can find, and learn from various sources, not all teachers and textbooks are perfect, and some are awful, so its good to have many perspectives to shed light on the issue fully.

learning math isn't so much the acquisition of knowledge, its more of a manipulation of the mind, adaptation and growth, which takes more time than just learning facts.
 


Read "Talent is overrated: what really separates world-class performers from everybody else" by Geoffrey Colvin. He describes and gives lots of research references on what it takes to become very good at something as efficiently as possible.

To oversimplify my understanding of this into a sentence, it takes "directed practice" (Google can find that phrase for you) which demands enormous drive, focus, energy, concentration, sacrificing things that get in the way of this and finding a coach who can see your weaknesses and pushes you hard every day to overcome those weaknesses.

My question is: how to find such a coach in mathematics.

Colvin does caution the reader" do you really want to pay the high price to do this?
 


This is a problem with more than one solution. I personally think math should be made less intimidating.

http://education.nmsu.edu/ci/morehead/documents/begley.pdf

A stereotype that pervades the culture the way "ditzy blondes" and "forgetful seniors" do makes people painfully aware of how society views them--so painfully aware, in fact, that knowledge of the stereotype can affect how well they do on intellectual and other tasks.
As long as math is viewed as hard and complicated and boring, as long as math is viewed as a boy's subject or an Asian's subject, we'll still have a massive obstacle in our education.
 
Last edited by a moderator:
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
Thread 'Imaginary Pythagorus'
I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
Back
Top