Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction

Martin A. Simon

doi:10.1080/10986065.2020.1706217

Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction

Martin A. Simon

Teaching and Learning

Research output: Contribution to journal › Article › peer-review

Abstract

The goal of our research program is to explicate the learning of mathematical concepts in ways that are useful for instructional design and to develop design principles based on those explications. I review one type of concept and our elaboration of reflective abstraction, coordination of actions (COA) that accounts for its construction. I then postulate a second type of concept and a second type of reflective abstraction that accounts for its construction, the abstraction of commonality (AOC).

Original language	English (US)
Pages (from-to)	162-171
Number of pages	10
Journal	Mathematical Thinking and Learning
Volume	22
Issue number	2
DOIs	https://doi.org/10.1080/10986065.2020.1706217
State	Published - Apr 2 2020

Keywords

Reflective abstraction
instructional design
mathematical concepts

ASJC Scopus subject areas

Mathematics(all)
Education
Developmental and Educational Psychology

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Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction

Abstract

Keywords

ASJC Scopus subject areas

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