Research-Based Modelling Teaching Activities: A Case of Mathematical Positioning with GNSS

Abstract

This chapter explores the mechanism of modelling teaching based on research, including modelling problem collection and issuing of problems for selection by students, the feedback of students and consultation between teachers and students, mathematical modelling and problem solving process, discussion and assessment. Based on the Innovation Practice and Internship Base for Mathematical Modelling, research-based problems are issued for senior undergraduates to cultivate modelling competency when solving practical problems. A case of mathematical positioning with GNSS, multipath, is introduced to show the whole process in detail focussing on developing active and critical thinking, in particular the innovative thought of students, by the process. From years of practice, research-based modelling teaching has been shown to be a very effective platform to improve the modelling competency of students.