Exploring the integration of mathCAD-assisted mathematics experiments into higher mathematics teaching

Abstract

This paper analyzes and designs the teaching of higher mathematics through Mathcad-assisted mathematics experiments. This study uses MATLAB software to design teaching cases with the support of constructivist learning theory through a combination of theoretical and practical research methods, and implements the teaching with senior students, and analyzes the implementation effect. The results and shortcomings of this study are reflected. The use of MATLAB to assist the teaching of mathematical probability and statistics can improve students’ interest in mathematics, better grasp and understand the knowledge of probability and statistics, and cultivate students’ ability to explore the laws and use mathematical knowledge to solve practical problems, which is more advantageous than the traditional teaching model. To verify the practicality of this teaching model, teaching cases and experiments in line with students’ thinking development were designed on this basis, and qualitative and quantitative analyses of the results before and after the experiments were made. The study showed that this model of teaching mathematical concepts can promote students’ meaningful learning, provide teachers with some reference for designing the teaching process, and improve the actual teaching efficiency. It also enables students to develop a multi-perspective, multi-level, and multi-faceted understanding of concepts, to deeply grasp the essence of concepts, and to improve their mathematical thinking skills at the same time.