Literaturnachweis - Detailanzeige
Autor/in | Jones, Steven R. |
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Titel | Prototype Images in Mathematics Education: The Case of The Graphical Representation of The Definite Integral |
Quelle | In: Educational Studies in Mathematics, 97 (2018) 3, S.215-234 (20 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0013-1954 |
DOI | 10.1007/s10649-017-9794-z |
Schlagwörter | Mathematics Instruction; Models; Mathematical Concepts; Concept Formation; Mathematical Logic; Teaching Methods; Calculus; Visual Stimuli |
Abstract | Many 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). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |