Expert: Paul Klarreich - 10/6/2010

Question
Hello Mr. Klarreich,

I don't mean to ask such an oversimple question, but, what, in your experience is the best way to learn math? I ask because in my case specifically, I generally understand concepts, but retaining them seems to be an issue because over time I will forget/become rusty on applying them, as opposed to concepts in English or more liberal topics (Communications, Sociology, etc.) I seem to learn and retain those subjects with reasonable amounts of studying.

So to come back to the point, in the subject of math (or related subjects using it), what... mental process do you think is best for truly learning and retaining this kind of information?

I know this is a long-winded question, but I do appreciate your time. Thanks!

Answer
Questioner:  Daniel
Private: no
Subject:   

 
Question:  
Hello Mr. Klarreich,

I don't mean to ask such an oversimple question, but, what, in your experience is the best way to learn math? I ask because in my case specifically, I generally understand concepts, but retaining them seems to be an issue because over time I will forget/become rusty on applying them, as opposed to concepts in English or more liberal topics (Communications, Sociology, etc.) I seem to learn and retain those subjects with reasonable amounts of studying.

So to come back to the point, in the subject of math (or related subjects using it), what... mental process do you think is best for truly learning and retaining this kind of information?

I know this is a long-winded question, but I do appreciate your time. Thanks!
..........................................
You understand mathematical concepts by knowing what they actually mean.  That requires language skills different from those in humanistic studies.  You have to make sure you know exactly what the words mean -- use the vocabulary correctly and precisely.

You retain concepts by applying them.  That is why you have homework exercises to do.  When you do one, first state the principal you are using, and don't make silly mistakes in spelling, such as 'principal' when it should be 'principle'.

State it carefully and accurately, and think exactly how it applies to the situation.  Then apply it.

That is definitely a useful life skill, too -- one which you don't learn in the humanities -- and this is why you study mathematics.