Friday, August 13, 2010

The problem = equal signs

New research out of Texas A&M suggests that 70% of middle school students don't understand what the "=" sign means.  The article can be found here.  The key point, as pointed out in the article:
The problem is students memorize procedures without fully understanding the mathematics.
It is interesting that the problem runs this deep.  My calculus students have trouble solving velocity problems because they try to memorize the procedure instead of understanding the problem.  Of course, when they forget one step, they are completely lost.  This study suggests that even from the first time students are exposed to math, they are only taught the steps for solving math problems. 

I am not suggesting that we move to a "new math" style of instruction, where answers don't matter, and all the emphasis is on concepts.  However, if students really have this little understanding of even the simplest of math concepts, we are really missing the point of teaching math entirely.

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