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    "The backwards ones?" - Undergraduate students' reactions and approaches to example generation exercises


    Breen, Sinead, O'Shea, Ann and Pfeiffer, Kirsten (2012) "The backwards ones?" - Undergraduate students' reactions and approaches to example generation exercises. Informal Proceedings of the British Society for Research into Learning Mathematics (BSRLM), 32 (1). pp. 7-12. ISSN 1463-6840

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    Abstract

    As part of a project exploring the design and use of mathematical tasks to promote conceptual understanding of Calculus concepts, first year undergraduate students were assigned homework problems which required them to use various processes including generalising, conjecturing, evaluating statements, analysing reasoning and generating examples. In subsequent interviews with five students, a number of them spontaneously referred to the example generation problems posed as being the "backwards ones" or requiring them to work backwards as well as forwards. In this paper, we will report on the students' reactions to a particular example generation exercise, the strategies they adopted in an effort to solve such problems, and what they feel they learnt in the process.
    Item Type: Article
    Additional Information: Proceedings of the Day Conference held at the University of Manchester on 3rd March 2012
    Keywords: example generation tasks; conceptual understandin;, interview data;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 5456
    Depositing User: Dr. Ann O'Shea
    Date Deposited: 07 Oct 2014 14:41
    Journal or Publication Title: Informal Proceedings of the British Society for Research into Learning Mathematics (BSRLM)
    Publisher: British Society for Research into Learning Mathematics
    Refereed: Yes
    Related URLs:
    URI: https://mu.eprints-hosting.org/id/eprint/5456
    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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