Study About Extensity Of Mathematical Thinking Based On Solving Problem

The extensity of mathematical thinking is one of the quality of mathematical thinking,the outstanding external performance of mathematical ability is depend on the good quality of mathematical thinking,we know solve math problems is an necessary part in the mathematics' study,since everyone'knowledge is different,so the level and the angle of thinking is difference,the ways to solve the problem are also different,Well extensity of mathematical thinking can improve students' ability of solve math problems.Literature study,questionnaire investigation and case analysis are the main research method in this paper.The first step is to read related papers and research literature to find some theory to establish the basis of this topic and the related concept definition.The second step is design a questionnaire investigation to comprehend the students,thoughts and behave in the teaching activities like examples explain exercises in the class,do exercises after class,math exams,test paper explain.The last step is collected some teaching Cases during the internship in middle school in order to analysis the problems exist in the teaching activities,then give some advices for teacher.This paper through study several teaching activities which include the action of solve problems,mainly studies the ways in training students' extensity of mathematical thinking,the goal is to improve students' ability of solve math problems,So this paper' main content is:(1)The five characteristics of the extensity of mathematical thinking;(2)The external performance of the extensity of mathematical thinking;(3)The factor affecting the development of mathematical thinking in teaching activities which include the action of solve problems;(4)There are mainly four advices to cultivate the mathematical thinking become extensive:? examples explain exercises—Teacher expose the method to students;?do exercises after class—students study the knowledge by themselves and they can gain some new knowledge from this experience;? math exams is a way to test the mathematical thinking whether extensive?explain the test paper can make the extensity of mathematical thinking well and well.