Küchemann, Dietmar;
Hoyles, Celia;
(2009)
From Empirical to Structural Reasoning in Mathematics:
Tracking Changes Over Time.
In: Stylianou, Despina A and Blanton, Maria L and Knuth, Eric J, (eds.)
Teaching and Learning Proof Across the Grades: A K-16 Perspective.
(pp. 171-191).
Taylor and Francis: Abingdon, UK.
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Abstract
Pattern identification is an essential component of the activity of reasoning-and-proving, which has become more visible and prevalent in mathematics curriculum frameworks not only for high school but also for the elementary and middle grades. This chapter discusses the activity of pattern identification in the more general context of the activity of reasoning-and-proving. It also discusses a conceptualization of reasoning-and-proving that derives from the nature of this activity in the discipline of mathematics and shows how pattern identification connects to reasoning-and-proving. The chapter describes parts of an analytic framework which is based on the same conceptualization of reasoning-and-proving and aims to serve as a useful platform for conducting different kinds of investigations with a focus on reasoning-and-proving. It utilizes the relevant parts of this framework to analyze the episode of the professional development session from which the opening excerpt was taken.
| Type: | Book chapter |
|---|---|
| Title: | From Empirical to Structural Reasoning in Mathematics: Tracking Changes Over Time |
| ISBN-13: | 9780203882009 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4324/9780203882009 |
| Publisher version: | https://doi.org/10.4324/9780203882009 |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > School of Education UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education UCL > Provost and Vice Provost Offices > School of Education > UCL Institute of Education > IOE - Culture, Communication and Media |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1515637 |
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