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    An Analysis of Students’ Abstraction and Use of Representations for Understanding the Operational Formal Definition of Function in Introductory Calculus

    Sabri 2019.pdf (10.53Mb)
    Access Status
    Open access
    Authors
    Sabri
    Date
    2019
    Supervisor
    David Treagust
    Type
    Thesis
    Award
    PhD
    
    Metadata
    Show full item record
    Faculty
    Humanities
    School
    School of Education
    URI
    http://hdl.handle.net/20.500.11937/78005
    Collection
    • Curtin Theses
    Abstract

    Function is a very prominent concept in introductory calculus courses studied in mathematics education undergraduate programs. This study was conducted to investigate first year students’ construction of an understanding of the operational formal definition of function focusing on the theoretical abstraction and the use of mathematical representations in abstraction. The findings revealed that the students constructed their understanding through the process of abstraction and they used various representations in expressing their mathematical knowledge.

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