Elaborating reflective abstraction for instructional design in mathematics: Postulating a Second Type of Reflective Abstraction. Issue 2 (2nd April 2020)

• Record Type: Journal Article
• Authors: Simon, Martin A.
• Is Part Of: Mathematical thinking & learning. Volume 22:Issue 2(2020)
• Page Start: 162
• Page End: 171
• Publication Date: 2020-04-02
• Subjects: Reflective abstraction -- instructional design -- mathematical concepts; Mathematics -- Study and teaching -- Periodicals; 510.71
• DOI: 10.1080/10986065.2020.1706217
• Languages: English
• ISSNs: 1098-6065

Abstract

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).