A Study On Instructional Design And Experiment Of "Problem Solving" In Primary Mathematics

The research of the Problem Solving Instruction has been widely concerned in the field of education since the state's new curriculum standards took the problem solving ability of math as one of the math learning goals. This article explored the problems solving teaching of mathematics classroom in primary schools theoretically and practically, which is focused on and carried out as follows:Summing up the results of previous studies and some investigations of the questionnaires about the students'interests in math, the author surveyed and studied the problem solving processes of teachers and students from the two aspects: one is the problem solving process of well-structured problems; the other is the one of ill-structured problems. Then the author put forwards with a design model of the problem solving instruction in primary mathematics classroom. The paper also provided our teachers with some specific operational procedures to design the instructional activities.Together with the instructors, the author designed a teaching activity process on basis of teaching content during the instructional practice and selected the corresponding teaching strategies of problem solving instruction in order to carry out the experiments.With the measuring tools of the experiments, unit quizzes, problem solving ability tests and mathematics learning questionnaires to measure the results and statistics, the author managed to inspect and analyze the various experimental data and also explained some phenomena appeared in the experiments.The findings of this research are: there is a remarkable difference between the controlled class and the experimental class in math problem solving time, learning confidence, and so on. However, there is no significant difference between unit quizzes and problem-solving ability tests. The results show that: the Problem Solving Instruction is feasible to carry out in the primary mathematics classroom. It is likely to make more significant progress if we devote more time and more energy to it.