GeoGebra and Students’ Conceptual Understanding of Mathematical Representations: A Quasi-Experimental Study in Upper Primary Classrooms.

Abstract

GeoGebra is a dynamic mathematics software that integrates algebraic and geometric representations through interactive visualization, enabling learners to explore mathematical relationships in multiple forms. By supporting the coordination of symbolic, graphical, and geometric representations, GeoGebra provides opportunities for students to develop deeper conceptual understanding of mathematical ideas. This study investigated the role of GeoGebra-supported instruction in enhancing Grade 6 students’ conceptual understanding and achievement in linear equations and coordinate geometry in Pakistan. A quasi-experimental design with nonequivalent control and experimental groups was employed, involving 76 students (38 in each group). The experimental group received GeoGebra-supported instruction, while the control group was taught using traditional lecture-demonstration methods. Grounded in social constructivist theory, the study examined how dynamic visualization and interactive representation influence students’ mathematics learning. Data were collected through pretest and posttest assessments and analyzed using independent samples t-tests. The results indicated that the experimental group significantly outperformed the control group in posttest scores, with a large effect size (t (74) = -4.180, p < 0.001, Cohen’s d = 0.98), demonstrating the practical impact of GeoGebra-supported instruction. Findings suggest that GeoGebra facilitates students’ coordination of algebraic and graphical representations, enabling them to connect abstract mathematical expressions with visual structures. This representational fluency appears to support improved conceptual understanding of linear relationships and coordinate geometry. The study highlights the pedagogical value of integrating dynamic visualization tools into mathematics instruction to support meaningful learning experiences and strengthen students’ conceptual foundations in early mathematics education.