Mathematical thinking and task design

Breen, Sinead and O'Shea, Ann (2010) Mathematical thinking and task design. pp. 39-49.

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Breen and O'Shea 2010 AO-Task-Design.pdf

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Official URL: http://eprints.maynoothuniversity.ie/5455/

Abstract

Mathematical thinking is difficult to define precisely but most authors agree that the following are important aspects of it: conjecturing, reasoning and proving, abstraction, generalization and specialization. However, recent; studies have shown that many sets of mathematical tasks; produced emphasize lower level skills, such as memorization; and the routine application of algorithms or procedures. In; this paper we survey the literature on the design and use; of tasks that aim to encourage higher level aspects of mathematical thinking in learners of mathematics at all levels. The; frameworks presented here aim to guide task designers when; writing a set of exercises.

Item Type: Article
Depositing User: National Forum
Date Deposited: 30 Nov 2015 13:57
Last Modified: 30 Nov 2015 13:57
URI: http://eprints.teachingandlearning.ie/id/eprint/1835

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