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

Martin A. Simon

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 languageEnglish (US)
Pages (from-to)162-171
Number of pages10
JournalMathematical Thinking and Learning
Volume22
Issue number2
DOIs
StatePublished - 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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