Research On The Teaching Of Junior Middle School Mathematics Problem Series Based On The Improvement Of Logical Reasoning Ability

It is the real reason why mathematics has always been active in the historical stage that we can always find out problems and put forward questions.Mathematics can not be separated from problems,and mathematics classes can not be free of problems,the foundation of developing mathematical ability.The logical reasoning ability needed in problem solving is a more prominent form of mathematical thinking and an important ability to interact,promote each other and achieve a high degree of application in mathematics study and life.Therefore,the main point of view of this paper is that question string is a bridge connecting students and teaching materials,students and teachers,teachers should be based on logical reasoning to apply the question string in junior high school mathematics teaching design.Therefore,the research methods used in this paper are literature research,investigation and observation.The research contents of this paper are:(1)literature research method: Through collecting relevant literature to read,classify,sort out and compare,to understand the current research situation at home and abroad and the theory related to question string and logical thinking,to provide reference for the study of question string;(2)investigation and research method:during the practice time,the author tries to find out the reasons for the failure of the design of the problem strings by analyzing the value recognition,use and design ability of the problem strings based on logical reasoning in the teaching of some junior middle school mathematics teachers,to understand the current situation of problem-solving in junior middle school teaching;(3)investigation and interview: to investigate and interview some teachers about the level of applying logical reasoning in class.The conclusions are as follows:(1)Most front-line teachers believe that problem strings should be used in daily teaching,but the frequency of teachers using problem strings is not high,the class type is monotonous,and they do not know enough about how to use problem strings,the ability to use problem strings needs to be improved.(2)most teachers attach great importance to the cultivation of students' logical reasoning in the junior middle school mathematics learning stage,but because of the heavy task of classroom teaching,they seldom carry out open-ended teaching with students' thinking as the focus,so in the teaching link,neglecting the cultivation of students logical reasoning.According to the previous research results,the author puts forward(1)the common structures of problem set-up mainly include: contrast structure,progressive structure,parallel structure and divergent structure;(2)aiming at the research conclusion,this paper puts forward four design principles of question string: objective principle,heuristic principle,progressive principle and exploratory principle;(3)according to the corresponding design principles,three teaching contents are selected for teaching design,the paper expounds the promoting function of problem-based teaching on logical reasoning ability.This study is mainly based on theory,practice is insufficient,therefore,in the follow-up study can be specifically applied to practice,practice to test its teaching effect.It is believed that this kind of "problem-driven" problem-based classroom teaching will effectively develop students' logical reasoning ability,which will be recognized by everyone,and problem-based teaching will become a mature model.