Research On Problem Solving And Creative Thinking Cultivation Strategy

The international competition in the 21 st century is the competition of science and technology and the competition of creative talents.The core of innovation ability and the distinctive feature of creative talents are creative thinking,which is placed in the important position of cultivating creative thinking in education.Mathematics is the science of thinking,mathematics education has important and special significance to the cultivation of creative thinking.Problem solving is the basic way to cultivate creative thinking in mathematics teaching,and it is also the most effective way.However,under the influence of traditional teaching,problem solving is understood by most teachers as "pure mathematics problem solving",which does not give full play to the unique role in cultivating creative thinking,which leads to the general low creativity of students.Based on the above understanding and present situation,this paper mainly explores how to effectively cultivate students' creative thinking in problem-solving teaching,and adopts scientific research methods such as literature and case analysis.First of all,from the essence of mathematics education and the requirements of the new era of talent training,the importance of cultivating creative thinking is expounded.Then on the basis of summarizing the current situation of domestic research,we understand problem solving and creative thinking,and expound the essence and intrinsic relationship between the two under the core concept of literacy,which is the basis for the thesis.Then with Liu Hui's "cutting the circle" as the case support,analyze the creative process from the perspective of problem solving,get the thought enlightenment of creation in problem solving,including the beginning of creation,the thought method is the core of creation,the analogy,induction,guessing is the important method of creation,and reviewing reflection is the necessary link of creation.Good personality quality is the guarantee of creation.Finally,in view of the enlightenment brought by "cutting the circle",combined with the teaching concept under the core quality,put forward the strategies of cultivating students' creative thinking in teaching:(1)to create problem situations and stimulate mathematical thinking;(2)to demonstrate the thought process and promote students to learn to think;(3)Pay attention to the general methods used for mathematical discovery;(4)cultivate students' sense of reflection and evaluation;(5)stimulate interest and cultivate the habit of being proactive and willing to explore.