A Study On The Relationship Between Mathematical Problems And Problem Solving In Grade Five Students

Mathematical problem posing and problem solving are both important parts of mathematics learning activity.They are restricted and relied on each other.This study examines5th grade students’mathematical problem posing and problem solving with the method of questionnaires and individual interview,and analyzes the relationships between the two deeply on this basis.This study select students of Class one and Class two which are5th grade in a primary school of Shenzhen City.In each class30students are randomly selected,a total of60students are tested.There are two questionnaires,one is problem posing test questionnaire,the other is problem solving test questionnaire.Two pairs of problem posing and problem solving tasks are used in these two questionnaires.For each of the problem posing tasks,students were asked to pose a easy problem,a moderately difficult problem,and a difficult problem.For each of the problem solving tasks,students were asked to answer several questions based on the given pattern.Then,establish the corresponding evaluation standard for scoring and collecting data and use the SPSS for data analysis.The content of this paper is divided into six parts. The first part is the introduction, describes the research background,topic presented,research significance and current situation at board and home about the topic.The second part is the theoretical basis of the study.The third part is the research design where the framework is described in detail.The fourth part is to discuss the findings and analysis,and explore the correlation between problem posing and problem solving through the analysis of questionnaire results.The results of this study show that:First, the students of Class one are more easy to pose extension problems,but on the whole, the students of two classes tend to raising some familiar, conventional mathematical problems,and not good at posing complex,innovative problems.Second,students of Class one use more abstract strategies in problem posing than do Class two’s counterparts,they are also more successful solving problems that are most efficiently and accurately solved using abstract strategies. Third,there was a strong link between problem posing and problem solving for Class one,while the link is weak for Class two.The fifth part is teaching suggestions,based on the above discussion,some suggestions are given on how to develop and improve students’ mathematical problem posing ability.Finally, point out the existing weakness of research and the direction for the future in summaries.