Chunky and Smooth Images of Change

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  • Additional Information
    • Availability:
      FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: [email protected]; Web site: http://flm.educ.ualberta.ca
    • Peer Reviewed:
      Y
    • Source:
      7
    • Subject Terms:
      Mathematics Instruction; Mathematical Concepts; Change; Concept Formation; Mathematics Skills; Imagination; Teaching Methods
    • ISSN:
      0228-0671
    • Abstract:
      Characterizing how quantities change (or vary) in tandem has been an important historical focus in mathematics that extends into the current teaching of mathematics. Thus, how students conceptualize quantities that change in tandem becomes critical to their mathematical development. In this paper, we propose two images of change: chunky and smooth. Chunky images of change are based in imagining change as occurring countable and completed amounts, whereas smooth images of change are based in imagining a continually changing experience. Using empirical examples of student work, we illustrate these images of change and their implications.
    • Abstract:
      As Provided
    • Publication Date:
      2014
    • Accession Number:
      EJ1018736