Research To The Influential Factors Of Middle School Students' Mathematical Problem Solving Ability

How to cultivate the students' mathematical problem solving ability has always been one of the important contents of education courses around the world.Starting in the 1980 s,in the international mathematics education,problem solving has become the most hot topic.In April 1980,math teachers association in the United States,issued a called action agenda for the relevant documents,in this file for problem solving with clear instructions:organization mathematics curriculum should be centered on problem solving.Thus,the related research of mathematical problem solving is not only the guidance of mathematics development is also the need of the era.From the beginning of the 21st century,in a foreign country of the mathematics curriculum standard,problem solving has been included in the focus,our country will also develop the students' ability to analyze and solve problems as the important position of curriculum reform.Although in recent years,our country the study of mathematical problem solving has made great progress,but as a result of research in China started late,there is a certain gap compared with other countries.In mathematics classroom teaching,we found that although many students knowledge of mathematics learning is easy to understand,but with some practice questions related to the practical problems in life don' t answer,these students not related mathematical knowledge,mathematical problem solving ability is weak,but in today's society,students have sprung up to these questions,will surely have far-reaching influence on student's quality education.This will be our from the perspective of students,for they have encountered difficulties in solving the problem of the causes are analyzed,to find what are the factors influencing the ability to solve mathematical problems,to help students improve their ability of problem solving.In this paper,the literature and case study method are mainly used.Firstly,the background of the problem solving is reviewed,and the research results of the predecessors are reviewed.Then,the related concepts are expounded.According to the relevant theoretical basis,Bad mathematical problems to sort out the classification,the cause of the error analysis,the impact of mathematical problems to solve the factors are as follows:(1)Problem representation;(2)the cognitive structure;(3)Thinking Set;(4)metacognition;(5)interest and motivation;(6)individual differences;(7)interaction between teachers and students.According to the influencing factors,the method to improve classroom teaching effect is explored,and the teaching strategy to cultivate students' mathematical problem-solving ability is put forward:(1)Guide students to grasp the representation orientation,improve the representation ability of students;(2)Pay full attention to the law of students and construct a good cognitive structure;(3)Using the thinking set,to promote the knowledge positive migration;(4)Cultivating students' reflection and monitoring habits,and developing students'mathematical metacognition level;(5)Stimulate learning interest,cultivate students' desire for knowledge;(6)Pay attention to students'personality difference and realize educational equity;(7)Create interactive environment between teachers and students,mobilize the enthusiasm of students.