Revolutionizing Geometric Multiple Representations and Mathematics Curriculum Development: The Impact of AUTOGRAPH Software on Volume and Area Concepts

Document Type : Original Article

Authors

1 Teacher, Master and Professor Advisor of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

2 Full Professor of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

3 Teacher and Master students of Mathematics Education, Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

4 4 Associate Professor of Statistics, Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

10.48310/jcdr.2025.20533.1222

Abstract

Background and Objectives: Recent studies suggest that using multiple representations in digital environments can enhance mathematical understanding. This study aimed to examine the effect of teaching with Autograph software on improving multiple representations in geometric concepts among seventh-grade student. Methods: This quasi-experimental research used a pretest-posttest design with two parallel groups. The statistical population included seventh-grade female students from a district near Mashhad in the 2024–2025 school year. A total of 66 students were selected through convenience sampling. Both groups learned volume, area, and representation skills; one through Autograph and the other through traditional teaching. The data collection tool was a researcher-made test assessing visual, symbolic, and interpretive dimensions. Findings: Repeated measures ANOVA showed that the Autograph group significantly outperformed the traditional group in the posttest (p < 0.001). Conclusion: These findings highlight the importance of incorporating multiple representations in learning geometry and suggest the need to reconsider traditional teaching approaches.

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