| Autor: |
Stupel, Moshe, Sigler, Avi, Tal, Idan |
| Předmět: |
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| Zdroj: |
International Journal for Technology in Mathematics Education; 2019, Vol. 26 Issue 1, p27-34, 8p |
| Abstrakt: |
An interesting Sangaku problem was chosen and a multidirectional study was performed, which included finding the locus of a circle's center moving while being tangent to two circles. It also included finding the radius of that circle given the datum that it is also tangent to the side of an isosceles triangle. Two different proofs are presented of the conserved property of the problem. To exploit the value of the problem from the methodological point of view and to enrich the mathematical knowledge, the problem was expanded by adding a few questions in the style of what else can be asked about the problem? As part of the study of the problem, dynamic geometric software was used to enable hypothesizing and testing the hypotheses as a basis for writing formal proofs. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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