Explore The Way To Improve Number-shapes Ability Of High School Students

Improve math thinking ability is an important goal of mathematics education, and whether master mathematical thought and method is a manifestation of the level of mathematical thinking.Mathematics is to study of spatial forms and quantitative relations, so the idea of number shape union the basic mathematical thinking.It's also an important way to enhance students' thinking ability.However, the students don't know how to think and do not want to think is the mathematics teaching important issues in practice teaching.The students' level of thinking is not completely effectively improved with the growth of knowledge.On the other hand, students' mastery of mathematical thought and method is not very optimistic.This study explores links between the two, trying to start from number shape union teaching,to enhance mathematical thinking.This study uses three research methods:literature analysis, interviews, case analysis.It investigates the current thinking ability situation of high school students and provide appropriate instructional design based on the investigation, which divides into three parts:Part one collates domestic and foreign number shape union thought by literature analysis, and analyzes the relevance between number shape union and mathematical thinking from research on the psychology of thinking,to find the factors as well as the the effects of number shape union on mathematical thinking.Part two investigates high school students' the mastery of number shape union thought by questionnaires and interviews and the main conclusions are as follows:(1) the overall grasp of number shape union thought is not ideal;(2) use algebraic solution more, shape less;(3) able to recognize the importance of graphics in solving problems, but not good at drawing;(4) students have a certain laziness of thinking, unwilling to think about more solutions;(5) the lack of comparison and optimization problem-solving methods.Part three on the basis of interviews and test results, take plane vector and sequence for example of how to develop thinking ability in teaching of number shape union thought.Finally, puts forward some suggestions for number shape union teaching.