The Effect of Instruction for Middle School with Philosophy
|Keywords||philosophy of mathematics mathematics Education mathematical ontology mathematical epistemology mathematical methodology mathematical thinking mathematics problem solving|
Philosophy and mathematics stand for two field of the human thinking, they have the deep contact in history. Mathematical thought enriches and develops the philosophical views, philosophical thought has led the development of math. In our middle school,only a few teachers can recognize mathematics philosophy, what worse,less teachers can realize mathematic philosophy to middle school mathematics teaching.This article expatiates to connotation of mathematic philosophy’s definition in historical development. It expatiates to ontology(Mathematics researches object and essence problem)and epistemology (Mathematical properties and truthful problem) and methodology (The basic methods of studying math) of mathematics philosophy, it analyse on mathematics philosophy in middle school mathematics teaching and influence of many aspects in detail,especially the use of philosophical thought provide philosophical analysis to middle school mathematics teaching contents. Summarized the contradictions of mathematics problem-solving transformation view, And through a lot of examples to detailed illustrate how to apply the philosophical thought guiding middle school mathematics problem-solving. In teaching methods, this article explores mathematical philosophy analyses influential several mathematics teaching experiments in detail in the last thirty years of our country. Of course, mathematics philosophy is only a branch of philosophy. In this paper, The author has philosophical reflection on current mathematics curriculum reform some problems with another branch of the philosophy,namely materialist dialectics. Many predecessors have already succeed in guiding,effecting or acting on middle school teaching research, The author just stood in their shoulders above, use their several issues, with his experiences to write, hope that can explore the right way on middle school mathematics teaching from a higher level.