Constructions in dynamic geometry environments: How valid are they?
International Journal of Mathematical Education in Science and Technology, cilt.57, sa.9, ss.1829-1856, 2026 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 57 Sayı: 9
- Basım Tarihi: 2026
- Doi Numarası: 10.1080/0020739x.2025.2521340
- Dergi Adı: International Journal of Mathematical Education in Science and Technology
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, IBZ Online, Agricultural & Environmental Science Database, Applied Science & Technology Source, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center), zbMATH, DIALNET, Academic Search Ultimate (EBSCO), Social Science Premium Collection (ProQuest), Education Collection (ProQuest), Education Source Ultimate (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Sayfa Sayıları: ss.1829-1856
- Anahtar Kelimeler: dynamic geometry environments, GeoGebra, geometric construction, Geometry
- Hacettepe Üniversitesi Adresli: Evet
Özet
The purposes of this study are to investigate to what extent prospective middle school mathematics teachers can offer valid solutions for geometric construction problems in dynamic geometry environments, how we can characterise whether their solutions are valid or invalid, and the nature of their solutions. Data were collected from prospective middle school mathematics teachers through four geometric construction activities. By considering the data, the scope of the drag test and compatibility criterion offered in the literature, and the extra cases regarding the drag test, a three-phase diagram was proposed to characterise the validity of solutions to geometric construction problems in dynamic geometry environments. In the evaluation based on the diagram, it was found that the group could offer at least one valid solution, leading them to geometric construction in each activity. Some solutions were coded as invalid based on the diagram, although the group declared them valid.