Discovery learning in math: Exercises versus problems
In this article, Garelick confronts the myth perpetrated in education schools that math is incorrectly taught by teaching students to do "exercises" rather than solving "problems". The former are viewed as inauthentic experiences in which the student applies algorithms to previously learned types of problems in a mechanical type way. In fact, it is through the working of the so-called "exercises" that students can make meaningful discoveries which ultimately lead them to solving more complex problems. As it is, many of today's math programs have students reaching for the stars by standing on a two-legged stool.
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