Al-Ta'dib: Jurnal Kajian Ilmu Kependidikan
Vol. 19 No. 1 (2026)

A diagnostic analysis of learning obstacles in similarity and congruence based on students’ mathematical reasoning

Husnah, Mufarrido (Unknown)
Herman, Tatang (Unknown)



Article Info

Publish Date
30 May 2026

Abstract

This study investigates junior high school students’ learning obstacles in similarity and congruence based on their mathematical reasoning abilities. Conducted with eighth-grade students at a private Islamic junior high school in Bandung, the study employed a qualitative approach using reasoning tests, interviews, and analysis of students’ written responses. The findings show that students at all reasoning levels experienced epistemological, ontogenic, and didactical obstacles. Misconceptions about corresponding elements, proportional relationships, and criteria for similarity and congruence reflected epistemological obstacles. Ontogenic obstacles appeared in difficulties sustaining reasoning, verifying solutions, and connecting visual and symbolic representations. Didactical obstacles were indicated by students’ dependence on procedural guidance and difficulties constructing diagrams. These challenges disrupted conjecturing, justification, and verification processes, particularly among students with moderate and low reasoning abilities. The study highlights the need for reasoning-oriented geometry instruction that strengthens conceptual understanding, justification, and verification in mathematics learning.

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Journal Info

Abbrev

al-tadib

Publisher

Subject

Education

Description

Al-Tadib: Jurnal Kajian Ilmu Kependidikan is a forum publishing original articles related to research-based education or Islamic education. It is published by Fakultas Tarbiyah dan Ilmu Keguruan Institut Agama Islam Negeri Kendari (Faculty of Education and Teaching, IAIN Kendari). This journal is ...