Misunderstandings about Understanding

The issue of balance between procedural fluency and conceptual understanding in mathematics has served as a dividing line in education. Some believe that understanding of a procedure or algorithm must precede the procedure/algorithm itself—and if it doesn’t precede it, it should come about quickly or the result will be what some call “math zombies”. Others believe that procedural fluency and conceptual understanding is an iterative process where one feeds the other.

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