Literaturnachweis - Detailanzeige
| Autor/in | András, Szilárd |
|---|---|
| Titel | The centroid of some generalized pedal configurations. |
| Quelle | In: Sutra : International journal of mathematical science education, 4 (2011) 1, S. 59-72
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| Sprache | englisch |
| Dokumenttyp | online; Zeitschriftenaufsatz |
| ISSN | 0974-3340 |
| URN | urn:nbn:de:0111-opus-71835 |
| Schlagwörter | Entdeckendes Lernen; Forschendes Lernen; Fachdidaktik; Mathematik; EU-Projekt |
| Abstract | The main goal of this paper is to give possible generalizations, analogues of the following property: If M1, M2 and M3 are the orthogonal projections of a point M to the sides A1A2, A2A3 and A3A1 of an equilateral triangle A1A2A3, then the centroid of the triangle M1M2M3 is the midpoint of the segment OM, where O is the center of the triangle A1A2A3. In the first step we extend this property to regular n-gons, regular tetrahedrons and regular n simplices. In the second part we give a general affine version for triangles and simplices. It is also our objective to analyze the possibility of using such properties in teaching problem solving strategies for students and mathematics teachers. Theorem 2, 2.3, 2.5, 2.10 and Conjecture 1 and 2 were discovered/rediscovered during a training course for mathematics teachers. (DIPF/Orig.). |
| Erfasst von | DIPF | Leibniz-Institut für Bildungsforschung und Bildungsinformation, Frankfurt am Main |
| Update | 2013/3 |
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