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    An analysis of the opportunities for creative reasoning in undergraduate calculus courses


    Mac an Bhaird, Ciaran and Nolan, Brien and O'Shea, Ann and Pfeiffer, Kirsten (2014) An analysis of the opportunities for creative reasoning in undergraduate calculus courses. Working Paper. DCU.

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    Abstract

    We report here on a study of the opportunities for creative reasoning afforded to first year undergraduate students. This work uses the framework developed by Lithner (2008) which distinguishes between imitative reasoning (which is related to rote learning and mimicry of algorithms) and creative reasoning (which involves plausible mathematically-founded arguments). The analysis involves the examination of notes, assignments and examinations used in first year calculus courses in DCU and NUI Maynooth with the view to classifying the types of reasoning expected of students. As well as describing our use of Lithner’s framework, we discuss its suitability as a tool for classifying reasoning opportunities in undergraduate mathematics course

    Item Type: Monograph (Working Paper)
    Keywords: creative reasoning; undergraduate calculus courses; Lithner;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10084
    Depositing User: Dr. Ann O'Shea
    Date Deposited: 10 Oct 2018 13:39
    Publisher: DCU
    Refereed: Yes
    Funders: 3U-NStep grant
    URI:

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