Some Applications Of Mathematical Inductionin In Equality Proof

Understanding the historical development of mathematical induction can better understand the principles of mathematical induction.This is not only the key for students to learn this type of method,but also the prerequisite for teachers to teach.Many students lack understanding of the type of inequality problems proved by mathematical induction.Therefore,the systematic analysis and study of this kind of problem is the key to solving the problem of student's losing points.This is also the focus of this article.This paper mainly analyzes and explores.The following four contents are included.First,the concepts and principles of mathematical induction are organized through reviewing relevant books and literature data,and the steps of proof are summarized.Second,eight kinds of problem-solving skills are summarized according to their own learning and materials.Using specific examples for analysis,including substitution method,transfer method,analysis method,comparison method,addition and subtraction elimination method,circulation method,synthesis method.Third,summarize the types of mistakes students often make,mainly including: the initial value processing Improper,unused assumptions,wrong number of items,incorrect use of inductive assumptions,mechanical application steps.Fourth,based on theoretical teaching knowledge,learning of mathematical induction I do three hours of instructional design,and how to better teachers and students of a Good lesson to learn how to better study made a number of recommendations.