Research On The Cultivation Of Mathematical Thinking Quality From The Perspective Of Complexity Thinking

The cultivation of mathematical thinking quality has always been one of the important topic in mathematics education.Improving the quality of students'mathematical thinking is quite significant to their development.It can help students to solve math problems and improve their mathematical ability.And beyond that,it's good for the improvement of students' core components of mathematical literacy.At present,there are still some problems in the process of cultivating the quality of mathematics thinking.For examples,some teachers' vision is narrow;the time given to students is limited;dialogue in classroom is linear.These problems will lead to poor quality of mathematics thinking and affect the further development of students' mathematical ability.Complexity thinking is a new way of thinking forming with the development of complexity theory.It possesses the features of nonlinearity,uncertainty,openness,integrity,self-organization and so on.Complexity thinking opposes to the thinking methods of it must be either this or that and agrees to the thinking methods of it can be this and that.These mean complexity thinking is not a thinking that is opposite to simple thinking.In fact,it includes simple thinking as a special case.The cultivation of mathematics thinking quality is a complex process,it shows up as the complexity of the contents of the mathematics;the differences in the training objects,the complexity of the environmental effects,the non-linearity of the training process,and the uncertainty of the training results.The cultivation of mathematics thinking ability is one of the important goals of mathematics curriculum.The quality of mathematics thinking is a concentrated expression of student's mathematics thinking ability.The quality of good mathematical thinking is characterized by its profoundness,wideness,accuracy,flexibility,simplicity and so on.This article studies the theory and practice of mathematical thinking quality cultivation based on complexity thinking,to analyzes the status quo and causes of the development of mathematical thinking quality,to explores the inspiration of complexity thinking for the cultivation of mathematical thinking quality,and to provides reference for the cultivation of mathematical thinking quality practice.The thesis is divided into four parts besides the introduction:The introduction elaborates the reasons of choosing this topic and the significance of this research.This paper reviewed the literature of the quality of mathematics thinking and the research about education from the perspective of complex thinking.Based on this,the study determine and propose methods,methods and potential innovation.The first part is the quality of mathematics thinking and its educational significance.It analyzes the connotation of mathematics thinking quality and the characteristics of good mathematics thinking qualities.It also pointed out that improving the quality of students' mathematical thinking is benefit their development.The second part is about the current situation of the mathematics thinking quality and its causes.It analyzes the present situation of cultivation of mathematical thinking quality in the classroom,and learns from others' related research results about the quality of mathematics thinking in order to understand the status quo in a more comprehensive way.Analyzing the existing problems to understand the reason.The third part is the complexity thinking and its enlightenment on the cultivation of the mathematics thinking quality.It explains the connotation and basic characteristics of complex thinking.Based on the understanding of complexity thinking,it discusses its enlightenment to the cultivation of mathematical thinking quality.The fourth part is strategies for improving students' quality of mathematics thinking.Based on the present situation of the development of mathematics thinking quality and the complexity thinking's enlightenment,the article puts forward suggestions for the cultivation of the quality of mathematical thinking from the perspective of the teacher.Starting from the independent thinking process of training mathematics thinking,the process of communicating with others,and the process of self-reflection,the study proposes several suggestions for cultivating the quality of mathematical thinking to enhances its various aspects.