Learning Concepts in Mathematics

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Refer to the diagram. Begin at the heart (the definition) of the simple concept.  Memorize that definition because it is a stipulative definition.  Understanding is minimal at this time. To enhance understanding the instructor and student must use ELABORATION (see post of 12 APR 18) to supply the concentric rings around the definition.  This is

Concepts in Mathematics

Share Cognitive Science Implications for Teaching Mathematics
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A baseball consists of a central core tightly wrapped in several layers of different materials. Construction of a golf ball is similar. As a matter of fact many familiar objects, including the earth, have similar constructions.     On a more abstract level, simple mathematics concepts are similarly constructed. It is convenient to think of