JURNAL AXIOMA : Jurnal Matematika dan Pembelajaran
Vol. 11 No. 2 (2026): Juli

Mengungkap Pola Respons Siswa Pada Geometris Melalui Analisis Rasch Berdasarkan Sintesis Teori Belajar

Lutfiyah Lutfiyah (Universitas PGRI Argopuro Jember, Jember)
Susanto Susanto (Universitas Jember, Indonesia)
Erfan Yudianto (Universitas Jember, Indonesia)
Abi Suwito (Universitas Jember, Indonesia)



Article Info

Publish Date
29 Jul 2026

Abstract

This study aims to analyze students’ response patterns in geometric using the Rasch Model based on a synthesis of learning theories. The study employed a descriptive quantitative approach involving 32 eighth-grade junior high school students. The research instrument consisted of 38 true/false geometry items developed from indicators of geometric thinking processes synthesized from the theories of Piaget, Vygotsky, and Thorndike. Students’ responses were coded dichotomously, with 1 for correct answers and 0 for incorrect answers, and then analyzed using the Rasch Model. The results showed that students’ geometric thinking abilities varied, with S29P having the highest ability and S11P the lowest. The most difficult item was SL32, while the easiest item was SL1. Overall, the instrument was sufficiently able to map students’ abilities, item difficulty, and response consistency, although several items still require revision. This study offers a new approach to integrating Rasch results through a synthesis of Piaget’s, Vygotsky’s, and Thorndike’s theories, so that the measurement outcomes do not merely produce estimates of students’ abilities, but also provide pedagogical interpretations of geometric thinking patterns. Keywords: Geometric Thinking Patterns, Rasch Analysis, Synthesis of Learning Theories, Geometry

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Journal Info

Abbrev

AXI

Publisher

Subject

Education Mathematics

Description

Tujuan adanya jurnal "AXIOMA" adalah sarana bagi pakar, dosen, praktisi pendidikan, peneliti ataupun penulis lainnya untuk mempublikasikan karyanya dalam bidang matematika dan pembelajaran. Khususnya bagi dosen melalui media publikasi ilmiah “AXIOMA” ini dihapkan dapat meningkatkan jumlah ...