A Fundamental Research on a Method for Determining the Teaching Content of Total Derivatives Utilizing Formal Concept Analysis and Rough Set Theory

Abstract

In this study, we propose a method for determining teaching content utilizing rough set theory and formal concept analysis. It is important to connect the concept of multivariate functions and the concept of derivatives, and to have students understand the concept of total derivatives in order to make them understand both. Decision rules are generated to analyze the relationship between student characteristics and comprehensible instructional content of total derivatives. In addition, we develop a prototype VR system for teaching total derivatives to validate the method. It helps students understand the concept of total derivatives graphically.