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Teaching for abstraction: A model. (English)
Math. Think. Learn. 12, No. 3, 205-226 (2010).
Summary: This article outlines a theoretical model for teaching elementary mathematical concepts that we have developed over the past 10 years. We begin with general ideas about the abstraction process and differentiate between “abstract-general” and “abstract-apart” concepts. A 4-phase model of teaching, called Teaching for Abstraction, is then proposed that is explicitly designed to promote abstract-general learning. Studies investigating the model with 4 different topics (angles, decimals, percentages, and ratios) are reported, and the 4 phases are further elucidated. The article concludes with a discussion of the effectiveness of the model and its applicability to other mathematical concepts. (Contains 2 tables and 7 figures.) (ERIC)
Classification: E40 C30 C70
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