Teaching for abstraction

then and now

Paul White, Mike Mitchelmore

    Research output: Chapter in Book/Report/Conference proceedingConference proceeding contribution

    Abstract

    This paper outlines the theoretical model of Teaching for Abstraction developed by the authors over the last ten years. We begin with the seminal work of Richard Skemp and then trace out developments through research into rates of change and derivative, angles, and percentages as a multiplicative relationship. The paper concludes with a discussion of future directions of the theory in light of professional development models and other theoretical perspectives.
    Original languageEnglish
    Title of host publicationICME-11
    Subtitle of host publication11th International Congress on Mathematical Education : Topic Study Group 26 : Learning and Cognition in Mathematics : Student formation of mathematical conceptions, notions, strategies, and beliefs
    Place of PublicationMonterrey, Mexico
    PublisherInternational Congress on Mathematical Education
    Pages1-6
    Number of pages6
    Publication statusPublished - 2008
    EventInternational Congress on Mathematical Education (11th : 2008) - Monterrey, Mexico
    Duration: 6 Jul 200813 Jul 2008

    Conference

    ConferenceInternational Congress on Mathematical Education (11th : 2008)
    CityMonterrey, Mexico
    Period6/07/0813/07/08

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  • Cite this

    White, P., & Mitchelmore, M. (2008). Teaching for abstraction: then and now. In ICME-11: 11th International Congress on Mathematical Education : Topic Study Group 26 : Learning and Cognition in Mathematics : Student formation of mathematical conceptions, notions, strategies, and beliefs (pp. 1-6). Monterrey, Mexico: International Congress on Mathematical Education.