- Tytuł:
- On teaching of geometric transformations in school
- Autorzy:
-
Stępień, L.
Stępień, M. R.
Ziółkowski, M. - Powiązania:
- https://bibliotekanauki.pl/articles/122070.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
- Tematy:
-
nauczanie matematyki
geometria
zadania matematyczne
program nauczania
gimnazjum
teaching mathematics
geometry
mathematical tasks
curriculum
gymnasium - Opis:
- The current core curriculum in mathematics for lower secondary school (3-rd educational level in Poland) omits formal definitions of concepts related to geometric transformations in the plane and is based on their intuitive sense. Practice shows that the current approach makes teaching very difficult and the students solve the typical tasks, not understanding the meaning of geometrical concepts. The article contains basic concepts connected with geometric transformations and examples of geometric tasks that are solved in the third and also in the fourth educational level in an intuitive way, sometimes deviating or even incompatible with the mathematical definition. We show how they could be solved in easier way with introducing definitions of geometric transformations in a simple and understandable for students way sometimes using vector calculus. We take into account isometries: reflection and point symmetry, rotation and translation and similarities with particular consideration on homothetic transformation.
- Źródło:
-
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2014, 19; 153-164
2450-9302 - Pojawia się w:
- Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
- Dostawca treści:
- Biblioteka Nauki
Artykuł