Using Digital Pythagorean Tangram to Enhance Mathematical Justification Skills of Prospective Mathematics Teachers

https://doi.org/10.51574/kognitif.v5i4.4020

Authors

Keywords:

Digital Media , Pythagorean Theorem , Mathematical Justification , Tangram , Prospective Teacher

Abstract

Mathematical justification is a crucial skill for mathematics teachers because it emphasizes proof and reasoning. This study examines how using the media “Digital Pythagorean Tangrams,” a manipulable, multimedia tool on Polypad, can improve prospective teachers' justification skills when proving the Pythagorean theorem. This research used a one-group pretest-posttest design where students were given a pre-test, then received an intervention using the media, and subsequently completed a post-test. The participants included 44 mathematics education students at a university in Bandung. Instruments comprised a mathematical justification test (pretest and posttest) and Digital Pythagorean Tangram media. Pretest and posttest data were analysed to obtain the N-gain score to estimate the effect size. The N-gain data were analysed using a one-sample t-test to check whether the improvement was statistically significant.  The results revealed an average N-gain score of 0.42, which falls into the medium category, demonstrating a notable improvement in students' mathematical justification skills before and after using the digital tangram media. The One-Sample t-test also indicated a significance level below 0.05, confirming that the increase in students' mathematical justification ability is significant. Integrating digital manipulatives into proof-oriented instruction can meaningfully enhance prospective teachers’ justification skills and may serve as a practical pedagogical approach in mathematics teacher education.

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Author Biographies

Yusuf Adhitya, Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

Nurmala Setianing Putri, Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

Bill Chairy Rizki Bustaren, Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

Department of Mathematics Education, Faculty of Mathematics and Natural Science Education, Universitas Pendidikan Indonesia

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Published

2025-12-18

How to Cite

Adhitya, Y., Putri, N. S., & Bustaren, B. C. R. (2025). Using Digital Pythagorean Tangram to Enhance Mathematical Justification Skills of Prospective Mathematics Teachers. Kognitif: Jurnal Riset HOTS Pendidikan Matematika, 5(4), 1699–1710. https://doi.org/10.51574/kognitif.v5i4.4020