Research On The Teaching Of Function Classified Discussion In Senior High School

According to the mathematics curriculum standard of senior high school(2017 Edition),students are required not only to learn the basic knowledge and skills of mathematics,but also to learn the mathematical thinking and methods contained in it.In order to make the students' study meet the requirements of the mathematics curriculum standards,it is necessary to carry out the teaching of mathematical thinking methods.The method of classified discussion is one of the thinking methods widely used in mathematical problem solving,which can effectively solve high school function problems.So it is very important to discuss the teaching of the function classified discussion in senior high school.However,due to the influence and restriction of many factors in the actual teaching,there are still many problems in the current high school function classified discussion teaching,and the teaching has not achieved the expected effect.Therefore,it is necessary to make a deep study of the difficulties and problems in the teaching of function classified and discussion method in senior high school,to conduct scientific and systematic analysis,and to research effective solutions.The purpose of this paper is to find out the problems in the teaching of function classified discussion method in senior high school through the qualitative and quantitative analysis of students' learning situation and the qualitative analysis of teachers' teaching situation.So as to put forward targeted teaching strategies,and combined with case analysis,to explain how to apply the strategies to teaching practice,so as to provide certain reference for teachers' teaching and students' learning.According to the above research ideas and purposes,this paper is based on Thorndike's connectionism theory of trial and error,constructivism theory of learning,the theory of the latest development zone and Polya's theory of mathematical problem solving,this papertakes 106 senior three students and 3 mathematics teachers from a high school in Kailu County,Tongliao City,Inner Mongolia as research objects.The problems studied in this paper are:(1)what are the problems of the students' learning and teachers' teaching in the teaching of function classified discussion in senior high school?(2)How to effectively carry out the function classified discussion teaching in senior high school? This paper mainly uses the test method,and SPSS software for statistical analysis of data,to evaluate students' learning situation;in addition,the author interviews with teachers,to evaluate students' learning situation and teachers' teaching situation.First of all,analyze the students' completion of the test questions,and find out the problems when the students use the classified discussion method to solve the function problems.In order to make up for the lack of research,the author also conducts personal interviews with teachers and students to get further understand of students' thinking process when completing the test paper and the cognitive situation which is not presented in the test paper.Through investigation and research,it is found that when students study the function classified discussion method in senior high school,the main reasons for the problems are as follows:the purpose of classification is not clear,the concept is not clear,and the reasoning process is not rigorous.Secondly,through interviews,it is found that the main reasons for teachers' problems in the teaching of function classificatied discussion in senior high school are as follows: the cognition of classified discussion method is insufficient;the classified discussion method contained in the high school textbook is not fully explored;the teaching of classified discussion method is not paid enough attention to;there is no reflection on the teaching of classified discussion method;the teaching consciousness of classified discussion method is weak.In view of the above reasons for the problems in the teaching of function classificatied discussion method in senior high school,this paper puts forward thefollowing teaching strategies: exploring the classified discussion method in cooperative discussion;perceiving the classified discussion method in problem-solving;comprehending the classified discussion method in comparative learning;examining the classified discussion method in the on-the-spot examination;studying the classified discussion method contained in the teaching materials thoroughly and carefully;summarizing the classified discussion method in the summary of class;summarizing classified discussion method in the wrong cases of students;reflecting on the teaching of classified discussion method as a whole.Finally,this paper has some guiding significance for students' learning and teachers' teaching.For students,in the process of answering test questions,students should pay attention to the problems and neglected problems when they study the high school function classified discussion method,so as to understand the high school function classified discussion method at a deep level.For teachers,only when they have a clear understanding of the problems existing in the current classified discussion teaching can they avoid detours in the future teaching and truly grasp the direction of the high school function classified discussion teaching.In theory,this paper has a certain supplement and perfect role in the theoretical system of high school function classified discussion study.