Development of the process conception of function View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1992-06

AUTHORS

Daniel Breidenbach, Ed Dubinsky, Julie Hawks, Devilyna Nichols

ABSTRACT

Our goal in this paper is to make two points. First, college students, even those who have taken a fair number of mathematics courses, do not have much of an understanding of the function concept; and second, an epistemological theory we have been developing points to an instructional treatment, using computers, that results in substantial improvements for many students. They seem to develop a process conception of function and are able to use it to do mathematics. After an introductory section we outline, in Section 2, our theoretical epistemology in general and indicate how it applies to the function concept in particular. In Sections 3, 4, and 5 we provide specific details on this study and describe the development of the function concept that appeared to take place in the students that we are considering. In Section 6 we interpret the results and draw some conclusions. More... »

PAGES

247-285

References to SciGraph publications

  • 1976. Piaget’s Theory in PIAGET AND HIS SCHOOL
  • 1991. Constructive Aspects of Reflective Abstraction in Advanced Mathematics in EPISTEMOLOGICAL FOUNDATIONS OF MATHEMATICAL EXPERIENCE
  • 1977. Epistemology and Psychology of Functions in NONE
  • Journal

    TITLE

    Educational Studies in Mathematics

    ISSUE

    3

    VOLUME

    23

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf02309532

    DOI

    http://dx.doi.org/10.1007/bf02309532

    DIMENSIONS

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