A Study On The Teaching Strategies Of Mathematics Competition In High School

High school math competition get more and more attention of schools,most schools in order to do a good job in math competition specially configured professional lecturer teaching equipment and lavishly employment competition,but finally the effect is not satisfactory.The high school mathematics competition examination has a wide range of knowledge,the coefficient of difficulty is large,the problem-solving skills are quite flexible and unique,and the comprehensive ability of the students is also very high.In mathematics competition,the number theory has unshakable status,and it is regarded by contestants as the most difficult part.In race teaching training,the part of number theory teaching is a key problem for the majority of educators,studying the teaching strategy in the race number theory can effectively improve the teaching status quo,dissolve the high school students to the theory of "resistance" in psychology and change the phenomenon "high investment,low efficiency" in school competition theory training.First of all,in this paper,the 1959 ~ 2017 international math competition test questions,1986 ~ 2017 China maths exam,2001 ~ 2017 Olympic competition in western China,as well as 1981 ~ 2017 national high school mathematics league question are collected and analyzed.Second,in the high school mathematics competition theory mainly involves three mathematical thoughts,and four kinds of mathematical methods,two kinds of mathematical principles and three kinds of mathematical ability was analyzed,and analyze the originator of thinking,the analysis of the teaching process.Finally the fourth part is the core content of this article,based on the teaching and learning theory and combined with the analysis of the second and third part proposed the theory competition training in four aspects: teaching strategies: 1.The number theory competition training in mathematics thought teaching strategies:(1)focus on the selection of questions in preparing lessons;(2)attaché great importance to the formation process of definition,theorem in number theory,mining related mathematical thought in teaching;(3)follow the classic example in teaching;(4)combine the context of mathematical knowledge and constructing knowledge network after class.2.Teaching strategies of mathematical methods in mathematical contest training :(1)make full use of the deductive process of the theorem and find relevant mathematical methods in teaching;(2)guide the students to refine the mathematical thought method based on the number theory test after class.3.Teaching strategies of mathematical principles in mathematical contest training :(1)the teaching process obeys the questions to explain the principle of transparency in teaching;(2)guide students toconclude knowledge and reflect on the summary after class.4.Teaching strategies of mathematics comprehensive ability training in mathematical contest training :(1)strengthen the teaching of basic knowledge and basic skills;(2)pay attention to "extend" teaching and cultivate students’ comprehensive ability;(3)advocate multi-angle thinking and enhance students’ comprehensive ability.This paper is only to explain the teaching strategy that I think is beneficial to the teaching of number theory,hoping to arouse the attention of the mathematics competition theory,and hope that more excellent people will study the field of theory and perfect the system of mathematics competition.At the same time,it is expected to provide some reference for the teaching of number theory and can help the participants in mathematics competition.