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    Mathematical Thinking and Task Design


    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:

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