How the Theme of ‘Doing and Undoing’ Applied to the Action of Exchange Reveals Overlooked Core Ideas in School Mathematics

The theme of ‘undoing a doing’ is applied to the ubiquitous action of exchange, showing how exchange pervades a school’s mathematics curriculum. It is possible that many obstacles encountered in school mathematics arise from an impoverished sense of exchange, for learners and possibly for teachers....

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 9; no. 13; p. 1530
Main Author Mason, John
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.07.2021
Subjects
Curricula
doing and undoing
exchange
Exchanging
Learning
Mathematical analysis
Mathematics
substitution
Teaching
Online AccessGet full text

Cover

More Information
Summary:The theme of ‘undoing a doing’ is applied to the ubiquitous action of exchange, showing how exchange pervades a school’s mathematics curriculum. It is possible that many obstacles encountered in school mathematics arise from an impoverished sense of exchange, for learners and possibly for teachers. The approach is phenomenological, in that the reader is urged to undertake the tasks themselves, so that the pedagogical and mathematical comments, and elaborations, may connect directly to immediate experience.
ISSN:2227-7390
2227-7390
DOI:10.3390/math9131530