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Mathematical thinking and task design

Breen, Sinéad and O'Shea, Ann orcid logoORCID: 0000-0001-8504-2290 (2010) Mathematical thinking and task design. Irish Mathematical Society Bulletin, 66 (1). pp. 39-49. ISSN 0791-5578

Abstract
Mathematical thinking is difficult to define pre- cisely but most authors agree that the following are impor- tant aspects of it: conjecturing, reasoning and proving, ab- straction, 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 mathe- matical thinking in learners of mathematics at all levels. The frameworks presented here aim to guide task designers when writing a set of exercises.
Metadata
Item Type:Article (Published)
Refereed:No
Uncontrolled Keywords:mathematical thinking, task design
Subjects:Social Sciences > Education
Mathematics
DCU Faculties and Centres:DCU Faculties and Schools > Faculty of Science and Health > School of Mathematical Sciences
Research Initiatives and Centres > Center for the Advancement of Science Teaching and Learning (CASTeL)
Publisher:Irish Mathematical Society
Official URL:https://www.irishmathsoc.org/bull66/ME6601.pdf
Copyright Information:© 2010 Irish Mathematical Society
ID Code:29023
Deposited On:18 Sep 2023 11:46 by Sinead Breen . Last Modified 19 Jan 2024 16:12
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