Rustanto Rahardi, Erika Wardah Azizah
Even though students can solve problems in right triangles correctly, the written communication they construct is not mathematically valid. This article purposed to analyze the results of a study which provides a qualitative analytical study of the thinking of a subject from 32 students of grade 8 when he solved the problem of applying the Pythagoras Theorem in right triangles. The student solve several Pythagoras Theorem questions given which will then be explored through interviews. Both interview result and answer sheets will be analyzed based on Sfard's theory. Sfard's theory of communicative cognition related to words use, visual mediators, narratives, and routines is used to develop a discourse analysis framework of the subject. The findings show that the subjects in this study used discourse that was routine and not exploratory. However, this article is a rich resource for teachers to understand the extent of the subject's thinking exploratively and suggest ideas for changing the subject's thinking. This study is an opportunity for professional teacher development and further research. © 2025 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Universitas Negeri Malang, Malang City, Indonesia
