Journal of Educational Sciences
Vol. 10 No. 2 (2026): Journal of Educational Sciences

Profile of Critical Thinking of Grade XI Students at SMAN 1 Torue in Solving Circle Problems Based on Van Hiele's Levels of Thinking

Cheysa Putri Pratama (Math Education, Tadulako University, Palu, 94118, Indonesia)
Sukayasa Sukayasa (Math Education, Tadulako University, Palu, 94118, Indonesia)
Ibnu Hadjar (Math Education, Tadulako University, Palu, 94118, Indonesia)
Nurhayadi Nurhayadi (Math Education, Tadulako University, Palu, 94118, Indonesia)



Article Info

Publish Date
05 Feb 2026

Abstract

Critical thinking is an essential competence in mathematics learning, particularly in circle topics that demand conceptual understanding and geometric reasoning. One relevant framework for examining this ability is Van Hiele’s levels of geometric thinking. This study aims to describe students’ critical thinking skills in solving circle problems based on their Van Hiele levels. A qualitative descriptive approach was employed. The subjects consisted of three Grade XI students, each representing Van Hiele level 0 (visualization), level 1 (analysis), and level 2 (informal deduction). Data were collected through circle problem-solving tests and interviews. Critical thinking was analyzed using Ennis’s indicators: elementary clarification, advanced clarification, strategies and tactics, and inference. The findings show that students at the visualization level understood problems and applied basic procedures but did not demonstrate sufficient inference and evaluation skills. Students at the analysis level explained relationships among circle elements and applied strategies appropriately, though their ability to recheck results was limited. Meanwhile, students at the informal deduction level exhibited more comprehensive critical thinking across all indicators. The study concludes that the higher the Van Hiele level, the stronger the quality of students’ critical thinking in solving circle problems.

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Journal Info

Abbrev

JES

Publisher

Subject

Religion Humanities Education Library & Information Science Other

Description

JES publishes original articles on the latest issues and trends occurring regionally and internationally in the educational sciences with the aim to advance our knowledge both in term of theory and practice. Moreover, this journal also covers the issues concerned with the following special sections: ...