Memorization and Learning

Share Cognitive Science Implications for Teaching Mathematics
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In many education circles “memorization” is a dirty word; but bear with me.  I am strongly opposed to mindlessly memorizing the steps of an algorithm for the purpose of solving a class of problems.   However, I will argue for carefully guided memorization which will produce very effective learning of concepts.  I will also argue that

Foundations for Learning Strategies

Share Cognitive Science Implications for Teaching Mathematics
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This blog post is longer than most because it seems to me the topics must be presented as a single unit.  Please study carefully. As you study this essay, remember that every concept in mathematics begins with a definition and remember that all definitions in mathematics are stipulative definitions. Every prominent cognitive scientist agrees that