"Highlighting the internal logic and thinking method of mathematics" and "cultivating the sense of innovation" are the basic teaching concepts of the mathematics curriculum standard of general high school(2017 Edition).In the process of mathematics learning,the deep understanding of mathematical concepts and principles and problem solving are inseparable from mathematical thinking.Because of the generality and indirectness of mathematical thinking,they determine the difficulty and particularity of the study of mathematical thinking obstacles.From the perspective of depth and systematicness,there are still many problems to be studied in the study of mathematical thinking disorders.High school is the key period for the formation of students' independent personality.It is of special significance for students' individual development to eliminate the mathematical thinking obstacles of senior high school students.Starting from the characteristics of mathematical thinking,this study explores the causes of students' mathematical thinking obstacles and the ways to overcome them,and tries to implement the concept of curriculum standards and improve the effectiveness of high school mathematics teaching.The research is based on constructivism learning theory,Polya's problem-solving theory,and metacognitive monitoring theory,mainly using literature research and test survey.First of all,according to the view of experts,mathematical thinking barriers are defined,which are divided into six types:Method barriers,language barriers,concept barriers,knowledge barriers,metacognition barriers and emotional barriers.Then,according to the suggestions of mathematics teachers,the test paper is compiled,and 104 senior three students in a four-star senior high school in Suqian City are taken as samples to carry out the survey.This paper analyzes the current situation of mathematics thinking obstacles of senior high school students,and compares the differences among arts,science,boys and girls in these six kinds of mathematics thinking obstacles.The results are as follows:?There are some obstacles in the six types of obstacles of senior high school students,among which the obstacles of mathematical thinking concept,knowledge and metacognition are the most serious;? The boys in the six types of obstacles are lower than the girls,except for the difference between the concept and emotional obstacles,the other four types of obstacles are almost the same in Chinese science.On the whole,the barrier degree of science students is weaker than that of arts students,and arts students are more prominent in emotional barriers;? There are significant differences between boys and girls in thinking barriers,girls are more serious than boys in metacognition and emotional thinking barriers,and boys' language thinking barriers are higher.On the whole,the degree of boys' thinking obstacle in solving mathematical problems is lower than that of girls,and girls' thinking obstacle is higher;?Good mathematics learning motivation and self-confidence have a greater impact on mathematics performance.The degree of anxiety has little effect on mathematics achievement,and most of the students have the same level of anxiety.In a word,mathematics emotion has a great influence on mathematics achievement.Based on the survey results of the test paper and the interview results of teachers,three solutions are put forward:? Exposing the process of thinking activities to improve the ability of mathematical thinking;?Focusing on building knowledge network to form the framework of knowledge system;? Clarifying the purpose of problem solving and monitoring the process of problem solving.?Pay attention to emotional factors,interactive learning mode,and arrange layered homework. |