Teaching Research in Probability Theory and Mathematical Statistics Modeling Idea

Abstract

Integrating idea and approach of mathematical modeling into Theory and Mathematical can provide new idea for teaching process, make relation between theory and practice more closers and motivate students' interest in learning. This paper discusses necessity and feasibility to integrate mathematical modeling into this course and analyzes whole teaching process based on teaching cases from different angles. Theory and Mathematical is a scientific discipline with math as its core to summarize statistical regularity based on random phenomenon. This discipline can reveal inevitability and contingency of some incidents from perspective of quantification and discuss relation between two. The study in theory content and summarization of scientific methods based on abstract random incidents is helpful for cultivating students' logical thinking ability to solve practical problems. Integration of mathematical modeling in Probability Theory and Mathematical Statistics is a more creative and new attempt for teaching, which is based on characteristics of actual problem and law of human production and life and uses abstract methods to extract more specific quantitative mathematical problems for this course, utilizes mathematical thinking to solve and analyze subjects. And results can later be used to answer real questions after its results being interpreted and verified. For example, problems such as finance and investment, winning lottery, birthdays and other probability problems in real life can be applied and answered, combing idea of mathematical modeling with mathematical statistics courses. Some education scholars have pointed out that the introduction of mathematical modeling with innovative ideas brings more freshness and creativity for probability theory and mathematical statistics course, if further its exploration, you'll find its practical and far-reaching significance for course. This is an outstanding attempt to train students' analytical skill in theoretical knowledge and consciousness to solve problems.