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Autor/inJones, Steven R.
TitelPrototype Images in Mathematics Education: The Case of The Graphical Representation of The Definite Integral
QuelleIn: Educational Studies in Mathematics, 97 (2018) 3, S.215-234 (20 Seiten)Infoseite zur Zeitschrift
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0013-1954
DOI10.1007/s10649-017-9794-z
SchlagwörterMathematics Instruction; Models; Mathematical Concepts; Concept Formation; Mathematical Logic; Teaching Methods; Calculus; Visual Stimuli
AbstractMany mathematical concepts may have prototypical images associated with them. While prototypes can be beneficial for efficient thinking or reasoning, they may also have self-attributes that may impact reasoning about the concept. It is essential that mathematics educators understand these prototype images in order to fully recognize their benefits and limitations. In this paper, I examine prototypes in a context in which they seem to play an important role: graphical representations of the calculus concept of the definite integral. I use student data to empirically describe the makeup of the definite integral prototype image, and I report on the frequency of its appearance among student, instructor, and textbook image data. I end by discussing the possible benefits and drawbacks of this particular prototype, as well as what the results of this study may say about prototypes more generally. (As Provided).
AnmerkungenSpringer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2020/1/01
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