MUST: Journal of Mathematics Education, Science and Technology
Vol 10 No 2 (2025): DECEMBER

Analisis Learning Obstacle Siswa pada Materi Peluang Berbasis Literasi Matematis dengan Pendekatan Didactical Design Research

Rachmawati Khaerun Nisa (Universitas Pendidikan Indonesia)
Lukman Lukman (Universitas Pendidikan Indonesia)
Sufyani Prabawanto (Universitas Pendidikan Indonesia)



Article Info

Publish Date
10 Dec 2025

Abstract

Mathematical literacy is a fundamental competency for the twenty-first century; however, students continue to experience significant learning obstacles in probability. This study aims to conduct an in-depth analysis of the learning obstacles encountered by eleventh-grade senior high school students in probability within the context of PISA-based mathematical literacy using the Didactical Design Research (DDR) approach. The study was conducted at a senior high school in Kuningan Regency, West Java, Indonesia, involving 36 students who participated in the diagnostic test stage. Using purposive sampling based on the variation of learning obstacle typologies (ontogenic, didactical, and epistemological), 10 students were selected for in-depth interviews. The data were analyzed qualitatively through data triangulation, including data reduction, data display, and conclusion drawing. The findings revealed that, at the formulate stage, students experienced epistemological and ontogenic obstacles characterized by difficulties in abstracting verbal situations into formal mathematical models and by mathematical anxiety. At the employ stage, substantial epistemological obstacles emerged due to inadequate prerequisite knowledge of set theory, procedural errors in fraction operations, and excessive reliance on memorizing formulas. Meanwhile, at the interpret stage, students were unable to relate numerical results back to their real-world contextual meanings. The novelty of this study lies in its simultaneous mapping of learning obstacles across the three PISA mathematical literacy processes—formulate, employ, and interpret—which served as the foundation for designing Didactical Pedagogical Anticipation (DPA) and reconstructing the recommended Hypothetical Learning Trajectory (HLT) from three to six instructional sessions.

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Journal Info

Abbrev

matematika

Publisher

Subject

Computer Science & IT Education Mathematics

Description

MUST is a journal of mathematics education, science, and technology published by the Faculty of Teacher Training and Education, Muhammadiyah University of Surabaya. This journal focuses on the publication of research results and scientific articles on mathematics education, science, and technology. ...