Noumerico: Journal of Technology in Mathematics Education
Vol. 4 No. 1 (2026): Noumerico, March 2026

A Hybrid PBL-IGL Approach to Improving Algebraic Thinking and Self-Efficacy of High School Students

Annisa Eka Pratiwi, Annisa (Unknown)
Zainullah Zuhri (Unknown)



Article Info

Publish Date
31 Mar 2026

Abstract

Algebraic thinking ability and self-efficacy are essential components in mathematics learning; however, many students still experience difficulties in both cognitive and affective aspects. Therefore, an instructional approach that integrates these two domains is needed. This study aims to examine the effectiveness of a hybrid Problem-Based Learning (PBL) model combined with an Individual Group Learning (IGL) strategy in improving students' algebraic thinking ability and self-efficacy. This study employed a quantitative approach using a one-group pretest–posttest design. The participants were 15 tenth-grade students of SMA Syarif Hidayatullah Grati in the 2024/2025 academic year. Data were collected through algebraic thinking tests and self-efficacy questionnaires and analyzed using paired-sample t-tests, N-Gain, and effect size (Cohen's d). The results showed a significant improvement in both variables (p < 0.001). The mean score of algebraic thinking increased from 65.40 to 86.10, with an N-Gain of 0.59 (moderate category) and a large effect size (d = 1.20). Similarly, students’ self-efficacy improved from 66.80 to 86.53, with an N-Gain of 0.60 (moderate) and a large effect size (d = 1.25). The greatest improvement in algebraic thinking was observed in modeling and solving contextual problems, indicating PBL's effectiveness in promoting higher-order thinking. These findings indicate that the PBL-IGL hybrid approach is effective in enhancing both cognitive and affective learning outcomes. The novelty of this study lies in integrating individual and collaborative learning within a problem-based framework, while simultaneously focusing on algebraic thinking and self-efficacy. This study contributes to mathematics education by providing empirical evidence that a balanced instructional design can improve students' understanding and confidence in learning mathematics.

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Journal Info

Abbrev

noumerico

Publisher

Subject

Computer Science & IT Education Mathematics Social Sciences

Description

The aim of this Journal is to promote a principled approach to research on technology in mathematics education and related concerns by encouraging enquiry into relationship between theoretical and practical studies. The journal welcomes contributions in such areas of current analysis in: 1. Use of ...