The effect of the mathematical technological environment on the level of students' geometric thinking according to the Van Hiley model in the subject of seventh grade mathematical geometric transformations

Document Type : Original Article

Authors

1 Assistant Professor of Mathematics Department, Farhangian University of Tehran

2 Assistant Professor of Farhangian University of Tehran

3 Master's student in mathematics education, Farhangian University, Tehran

10.48310/rme.2025.17299.1093

Abstract

The aim of this research is "the effect of the mathematical technological environment on the level of students' geometric thinking according to the Van Hiley model in the subject of mathematical geometric transformations in seventh grade". In terms of practical purpose and in terms of method, the research was a quasi-experimental type of pre-test and post-test, and all the 7th grade male students of Khanj city were the statistical population of this research, which were 60 people (2 classes; one experimental group and one control group). The title of the sample was selected. In this research, first, the level of geometric thinking was measured by a researcher-made test, the questions of which covered the level of geometric thinking in Van Hiley's model, and its validity and reliability were measured, then the sample members were randomly divided into two experimental and control groups. In the experimental group, 4 sessions of geometric transformations were taught using Sketchpad software, but the control group was taught in the traditional way, in the post-test stage, the level of geometric thinking of seventh grade students was measured again, and after the post-test, the results were based on scoring. It was extracted for questions and analyzed by SPSS software. The obtained results showed that the education based on the mathematical technological environment has an effect on the levels of visualization, analysis and informal deduction of geometric thinking in the Van Hiley model.