Jounal of Education and Teaching (JET)
Vol 7 No 3 (2026): September 2026

Polya–Van Hiele Integration Hierarchical Model in Students' Geometric Thinking Processes

Venissa Dian Mawarsari (Mathematics Education, Universitas Muhammadiyah Semarang, Indonesia)
Martyana Prihaswati (Mathematics Education, Universitas Muhammadiyah Semarang, Indonesia)
Eko Andy Purnomo (Mathematics Education, Universitas Muhammadiyah Semarang, Indonesia)
YL Sukestiyarno (Mathematics Education, Universitas Negeri Semarang, Indonesia)
Scolastika Mariani (Mathematics Education, Universitas Negeri Semarang, Indonesia)
Iwan Junaedi (Mathematics Education, Universitas Negeri Semarang, Indonesia)



Article Info

Publish Date
31 Jul 2026

Abstract

This research aims to develop the Polya–Van Hiele Integrated Hierarchical Model to describe students' geometric thinking processes in solving geometry problems. This study uses a qualitative approach with a case study design. The research subjects were selected based on the level of geometric thinking ability in the students. Data was collected through geometric thinking tests and in-depth interviews, then analyzed using qualitative descriptive methods. The results of the study show that students' geometric thinking processes develop progressively and are in harmony with the stages of Polya problem-solving, namely understanding problems, making plans, executing plans, and looking back. At the planning stage, students demonstrate skills at the level of visualization and analysis. Furthermore, at the stage of planning implementation, geometric thinking develops towards the level of informal deduction, formal deduction, and precision. At the level of rigor, students are able to provide valid mathematical justifications, compare, and generalize geometric concepts. This research resulted in the Polya-Van Hiele Integrated Hierarchical Model, which shows that the development of geometric thinking is embedded in the process of solving mathematical problems. 

Copyrights © 2026






Journal Info

Abbrev

jet

Publisher

Subject

Education

Description

Journal of Eduction and Teaching (JET) merupakan jurnal ilmiah Fakultas Keguruan dan Ilmu Pendidikan UM Kendari yang menitik-beratkan pada publikasi hasil penelitian ilmiah yang dilakukan oleh para civitas akademika, baik internal dan eksternal UM Kendari, khususnya dalam bidang pendidikan dan ...