Contributions of an APOS theory-based instructional module supporting the action-to-process transition in eighth grade students’ understanding of geometric reflection


Çalışkan E., Akarsu M., NACAR S.

Thinking Skills and Creativity, cilt.61, 2026 (SSCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.tsc.2026.102194
  • Dergi Adı: Thinking Skills and Creativity
  • Derginin Tarandığı İndeksler: Social Sciences Citation Index (SSCI), Scopus, Psycinfo
  • Anahtar Kelimeler: APOS theory, Geometric reflection, Mapping view, Motion view, Thinking styles
  • İnönü Üniversitesi Adresli: Evet

Özet

This study investigates the impact of an instructional module, developed within the framework of APOS theory, on enhancing eighth-grade students’ conceptual understanding of geometric reflection. The module emphasizes three fundamental components of reflection—line of symmetry, domain, and plane—with the goal of deepening students’ comprehension of these concepts and their interrelationships. Changes in students’ modes of thinking were analyzed through the lens of APOS theory. Findings revealed that all participating students progressed from the action level to the process level, indicating a shift from viewing reflection merely as a physical movement of shapes to engaging in more sophisticated reasoning based on point correspondences and underlying geometric principles. The module's constructivist, inquiry-based, and discussion-centered activities were found to be effective in promoting this conceptual development. The results suggest that this approach offers valuable implications for mathematics education, particularly in teacher preparation and the cultivation of students’ mathematical thinking.