Breen, Sinead and O'Shea, Ann (2010) Mathematical Thinking and Task Design. Irish Mathematical Society Bulletin (66). pp. 39-49. ISSN 0791-5578

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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
Keywords:	Mathematics; Thinking; Task Design;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	5455
Depositing User:	Dr. Ann O'Shea
Date Deposited:	07 Oct 2014 14:44
Journal or Publication Title:	Irish Mathematical Society Bulletin
Publisher:	Irish Mathematical Society
Refereed:	Yes
URI:	http://www.maths.tcd.ie/pub/ims/bulletin...
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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