Re: Requirements for fluency when learning maths


<RossClement@xxxxxxxxx> wrote in message
news:1147354132.232464.162530@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Hi. I'd like to ask for references (book, journal, web, other
electronic, whatever) and comments on, when learning math, how much
effort should be put into achieving fluency with concepts and methods,
over and above what is necessary to be able to just manage them. I
would expect that the two extremes, (i) getting to the stage of just
being able to complete problems with extreme difficulty and/or outside
help before moving on, and (ii) practicing sufficiently so that
detailed problems can be solved in seconds both forwards and backwards
in your head, would lead to less than optimum learning efficiency. But
where's the best balance? How would you know when the best balance is
achieved?

Cheers,

Ross-c


If you have to ask this question, just do (i) above and have other people to
the math for you.

do you want to master mathematics? or be poor in it?

many math problems are long, in terms of time, and paper, not seconds but
hours.

Takes dedication, and an interest in understanding it.




.

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