Study On Mathematics Teaching Cultivation Of Logical Reasoning Ability Of Eighth Grade Students

Mathematics is a science with a rigorous logic system.Each branch of middle school mathematics is organized according to the logical system,which provides extremely powerful conditions for cultivating students' logical reasoning ability.The curriculum goal of compulsory education also clearly points out that the development of reasoning ability should run through the whole process of mathematics learning.Therefore,it is of great significance to study how to cultivate students' logical reasoning ability in mathematics course teaching.The eighth grade is the key period in the compulsory education stage to train students with preliminary logical reasoning ability.The geometric content in the eighth-grade mathematics textbook is a good material to train students' ability from reasonable reasoning to deductive reasoning.Based on Piaget's cognitive development theory,Vygoski's "proximal development area" and APOS education theory,this thesis studies the mathematics teaching of the eighth grade students' logical reasoning ability training.The main elements are as follows:By using the literature analysis method,we can analyze,classify and summarize the data about mathematics teaching in compulsory education stage,especially on the cultivation of students' logical reasoning ability,so as to understand the current research situation of this subject.Using the method of investigation and research,the eighth grade teachers and students of a school were investigated and tested,and the survey data were statistically analyzed.The knowledge content of the eighth grade mathematics textbook is studied by combining quantitative and qualitative methods.Through the statistical analysis of reasoning knowledge points,examples and exercises,the distribution law of reasoning knowledge content in textbooks is obtained.According to the previous research,three teaching strategies are put forward to cultivate the logical reasoning ability of the eighth grade students.According to the teaching content of "angular bisection line nature ",a complete teaching design is given,and the teaching case is analyzed.This thesis considers that eighth grade students are in the primary stage of the logical thinking development,and the training of students' logical reasoning ability should be strengthened by teachers in mathematics teaching.We recommend that teachers should take into account the combination of reasonable reasoning and deductive reasoning,pay attention to the concept teaching to consolidate double-base teaching,and change the teaching method to inspire students' thinking.