Research On The Teaching Strategies Of High School Students' Mathematical Thinking Expansion

Learning begins with thinking,thinking ability is the core ability of students,is the source of innovation and progress,is the premise of students' all-round development and ability improvement.The new curriculum reform emphasizes students' mathematical thinking,emphasizes students' initiative and enthusiasm in learning,pays attention to the expansion of students' thinking and improves students' mathematical thinking ability is an effective way to train and develop students' innovation ability and practical ability.This paper firstly discusses the expansion of mathematical thinking development background and the research status at home and abroad,and expounds the main research content,methods and research significance of this paper.Mathematics in senior high school is a subject with strong logic.Many students are afraid of mathematics because of their difficulties,which is related to their mathematical thinking ability.High school mathematics teaching should not only let students master the corresponding knowledge and problem-solving skills,but also should pay attention to the cultivation and expansion of students' mathematical thinking ability.Secondly,on the basis of the analysis and research on the related literature of mathematical thinking,this paper elaborates the connotation,quality,characteristics,classification of mathematical thinking expansion and its relationship with classroom teaching,and the theoretical basis of cognitive learning theory,constructivist learning theory and intelligence theory on which the expansion of thinking is based are summarized.This paper constructs the basic structure of the expansion of mathematical thinking for the first time,and divides the expansion of mathematical thinking into expansion consciousness of mathematical thinking,expansion ability of mathematical thinking and expansion behavior of mathematical thinking,and the relationship among them is expounded: the expanding consciousness of mathematical thinking is the foundation,the expanding ability of mathematical thinking is the core,and the expanding behavior of mathematical thinking is the guarantee.Thirdly,based on the established basic structure of mathematical thinking expansion,this paper conducts investigation and analysis and empirical research.This study used questionnaires to investigate the status quo of mathematics learning and thinking development of senior highschool students from three dimensions of mathematical thinking expansion consciousness,thinking expansion ability and thinking expansion behavior,four factors of grade,gender,interest and teacher,and made statistical analysis of the collected large amount of data using spss17.0,word,excel and other software,and reached the following important conclusions:(1)At present,senior high school students have initially developed the consciousness of mathematical thinking expansion and the tendency of thinking expansion.However,in terms of thinking expansion ability and thinking expansion behavior dimension,the overall level of mathematical thinking expansion is not high.Although most high school students realize the importance of mathematical thinking expansion,there is still a big gap between action and ability.High school students have not taken reasonable and effective behaviors to expand their mathematical thinking,and their ability to expand their mathematical thinking also needs to be improved.(2)The factors affecting the expansion of mathematical thinking in senior high school students are mainly manifested in gender differences,students' interest in mathematical learning,teachers' behavior and attitude,which are not significantly different from the grade.Through the analysis of the survey results,this paper analyzes the problems existing in the practice of the expansion of mathematical thinking in senior high school students.The main problems are: Mathematical thinking development consciousness is not clear;Lack of thinking expansion behavior;Thinking expansion teaching is reduced to form;Basic knowledge and thinking imbalance.The corresponding problem enlightenment and improvement measures are put forward: Cultivating students' interest in mathematics learning and establishing students' awareness of mathematics thinking;Guiding students' thinking expansion methods and cultivating students' mathematical thinking expansion behaviors;Adopting a variety of teaching methods to create a relaxed classroom teaching environment;Facing up to gender differences and promoting balanced development of students.In view of the specific analysis of the above factors,this paper puts forward the strategies for the expansion of high school students' mathematical thinking: preview and preparation,elaborate design of thinking expansion guide plan,to advance the problem,expand the independence of students' thinking.The new teaching process adopts innovative teachingmethods,such as questioning,open and mathematical modeling teaching methods to cultivate students' critical thinking and flexibility.Recitation class teaching,with the example of the topic,play,with a problem to solve the problem,expand the students' thinking of the broad;With a changeable topic,to expand the flexibility of students' thinking,broad;Solve the problem with many questions,expand the students' thinking profundity.Reflection and promotion link,summary sublimation,as a new starting point for students' thinking development.