Geometric transformations in school geometry
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 propert...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2024-12-01
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| Series: | Lietuvos Matematikos Rinkinys |
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| Online Access: | https://ojs.test/index.php/LMR/article/view/38090 |
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| _version_ | 1841561124192911360 |
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| author | Rimas Norvaiša |
| author_facet | Rimas Norvaiša |
| author_sort | Rimas Norvaiša |
| collection | DOAJ |
| description |
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.
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| format | Article |
| id | doaj-art-81cc146d8d2e4b63aea9f2f2c7990b56 |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-81cc146d8d2e4b63aea9f2f2c7990b562025-01-03T06:33:47ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2024-12-0165B10.15388/LMD.2024.38090Geometric transformations in school geometryRimas Norvaiša0Vilnius University 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. https://ojs.test/index.php/LMR/article/view/38090geometric transformationscongruencedilationaxioms of school geometry |
| spellingShingle | Rimas Norvaiša Geometric transformations in school geometry Lietuvos Matematikos Rinkinys geometric transformations congruence dilation axioms of school geometry |
| title | Geometric transformations in school geometry |
| title_full | Geometric transformations in school geometry |
| title_fullStr | Geometric transformations in school geometry |
| title_full_unstemmed | Geometric transformations in school geometry |
| title_short | Geometric transformations in school geometry |
| title_sort | geometric transformations in school geometry |
| topic | geometric transformations congruence dilation axioms of school geometry |
| url | https://ojs.test/index.php/LMR/article/view/38090 |
| work_keys_str_mv | AT rimasnorvaisa geometrictransformationsinschoolgeometry |