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

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# Foundations for Learning Strategies

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