Literaturnachweis - Detailanzeige
Autor/in | Norton, Anderson |
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Titel | An Erlangen Program That Empowers Students' Mathematics |
Quelle | In: For the Learning of Mathematics, 39 (2019) 3, S.22-27 (6 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0228-0671 |
Schlagwörter | Mathematics Education; Mathematics Instruction; Instructional Effectiveness; Geometry; Fractions; Algebra; Mathematics Skills; Skill Development; Piagetian Theory; Mental Computation |
Abstract | Felix Klein's Erlangen program classifies geometries based on the kinds of geometric transformations that preserve key properties of their figures, rather than focusing on the geometric figures themselves. This shift in perspective, from figurative to operative, fits Piaget's characterization of mathematical development. This paper considers how the Erlangen program might be extended to mathematics in general, with specific examples from geometry, fractions, and algebra. By focusing on students' available ways of operating, we can empower students to construct mathematical objects for themselves, rather than learning about figures that are supposed to have a separate existence. (As Provided). |
Anmerkungen | FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: http://flm.educ.ualberta.ca |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |