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And that, in a nutshell, is what's wrong with American math education. Too much focus on rote learning rather than actual understanding. What you're describing
by rbehrends 12y ago
And that, in a nutshell, is what's wrong with American math education. Too much focus on rote learning rather than actual understanding. What you're describing is an accounting course, not mathematics. Mathematics is about problem solving, not plugging numbers into a black box and blindly following a prescribed sequence of algorithmic steps. You do not want to just test whether students can follow a procedure; you want to test whether they actually know what they're doing when they're using it (even if you specify the procedure, e.g. Gaussian elimination).
This even applies to simple problems. See the comment by Aur Saraf responding to the original article: http://powersfulmath.wordpress.com/2014/04/30/who-or-what-broke-my-kids/comment-page-1/#comment-18 http://powersfulmath.wordpress.com/2014/04/30/who-or-what-br...
- sp332 12y agoHow is a student going to do any math if you never teach techniques? And how are you going to know if the student actually learned it if you don't test them? I never said they should be the focus, but you need to test them sometimes. Also, algorithmic thinking is one of the more powerful ideas we have right now. You can trust that a Turing machine has certain properties without being a genius yourself, for example.