Constructions in dynamic geometry environments: How valid are they?

DEMİRAY E., IŞIKSAL BOSTAN M., SAYGI E.

International Journal of Mathematical Education in Science and Technology, 2025 (ESCI, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • 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, Academic Search Premier, IBZ Online, Applied Science & Technology Source, Computer & Applied Sciences, EBSCO Education Source, Education Abstracts, Educational research abstracts (ERA), ERIC (Education Resources Information Center), zbMATH, DIALNET
  • Anahtar Kelimeler: dynamic geometry environments, GeoGebra, geometric construction, Geometry
  • Orta Doğu Teknik 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.