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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 |
| Related URLs: | |
| URI: | https://mu.eprints-hosting.org/id/eprint/5455 |
| 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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