Visualization of linear algebra and development of the teaching material

Abstract

When students learn mathematics, some of them tend to learn how to solve problems. Then, they don't extend to the understanding of the essence of the operations. So, the purpose of this study is visualization of linear algebra for educational use and development of interface as the teaching material. The visualization policies are as follows. First, 2×2 or 3×3 matrices are considered transformation matrix to express coordinate transformation in the Euclidean space. Then, lattice on the 2D or 3D space is visualized in the case of the transformation. Based on this way of thinking, formulate presentation methods for various operation, and developed the system as a Web application. Additionally, a questionnaire-based evaluation experiment was conducted. As a result, the effective things as a auxiliary teaching material were provided.