| Title |
Geometrinės transformacijos mokyklinėje matematikoje / |
| Translation of Title |
Geometric transformations in school geometry. |
| Authors |
Norvaiša, Rimas |
| DOI |
10.15388/LMD.2024.38090 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys. Lietuvos matematikų draugijos darbai. Ser. B.. Vilnius : Vilniaus universiteto leidykla. 2024, t. 65, p. 45-75.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
geometric transformations ; congruence ; dilation ; axioms of school geometry |
| Abstract [eng] |
The study delves into the learning progression for school geometry based on transformations proposed by Hung-Hsi Wu. Plane transformations – translations, reflections, rotations, and dilations – are considered. Criteria for the triangle congruence and for triangle similarity, as well as the properties of the graphs of a quadratic function, are proved with their help. Axioms of school geometry used to justify the system of concepts are formulated. The study was motivated by the geometry topic presented in the mathematics curriculum as of 2022 and in the textbooks published. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
