Development of a Mathematical Solution Environment to Understand Symbolic Expressions in Mathematics

Abstract

This paper describes problems in mathematics learning, the development of a system to address them, and its effectiveness and considerations. We realize a function that converts symbolic expressions entered by learners to graphical representations and a function for manipulating the converted graphic. The conversion function enables the visualization of an input symbolic expression as a graphic. If the symbolic expression contains an error, the function visualizes the error so that learners can become aware of it. Through their operations, learners deepen their understanding of how the symbolic sentence influences the graphic and clarify their understanding of the relation between the symbolic expression and its graphical representation.