The Research Of The Structural Problems In The Mathematical Olympiad

The Mathematical Olympiad activity has always been concerned and welcomed in China.Many researchers,first-line teachers and mathematics enthusiasts have been actively engaged in it.The various aspects of the Mathematical Olympiad have been deeply studied.Structure is a very important mathematical thinking method.All kinds of Mathematical Olympiad competitions attach a great importance to the investigation of the students’ structural ability,so as to select excellent innovative talents.The structural thinking contained in the structural problem can cultivate the innovative consciousness and creative thinking of the middle school students.However,at present,there are few researches on how to solve the structural problems of middle school students at home and abroad.Therefore,starting from the knowledge points and mathematical thinking methods involved in the structural problems,this paper focuses on how to construct,so as to improve the ability of middle school students in solving the structural problems.This paper first analyzes the present situation of the research on the structural problems at home and abroad,and investigates the ability of the middle school students in solving the structural problems.The problems and shortcomings of the ability of middle school students in solving the structural problems at present are analyzed and summarized.Subsequently,combined with the theoretical basis of the structural problems,aiming at the shortcomings of the middle school students’ ability in solving the structural problems,and taking classification of mathematical thinking methods as the basis of classification,this paper focuses on "how to construct" in its chapter three.Finally,through a typical teaching design and teaching case,this paper provides teachers with some teaching strategies on the structural problems and puts forward some specific ways to improve the ability of middle school students in solving the structural problems.