Teaching Design And Application On High School Mathematical Experimentation

Although it' s emergence can be traced back to the origin of mathematics, mathematical experimentation definitely put forward to mathematical teaching is only few years, especially in the field of high school education. High school mathematical experimentation is a special kind of experimentation. It' s function is to assist mathematical education, in order to make students study knowledge through the form of "experimentation" and foster the ability of practice and new trails and "study" or "apply" mathematics in "doing" way. Therefore, mathematical experimentation teaching is at developing stage, relative theories are unperfected, and researches on the teaching designs of high school mathematical experimentation used to be nonexistent. Owing to the difference from other mathematical experimentation, it is necessary to give a definition on high school mathematical experimentation and research it' s teaching design on the basis of the definition. Based on the teaching practice, the thesis first defines the high school mathematical experimentation and analyses the teaching theoretical fulcrum, functions and characteristics; then researches the special principles on experimentation designing and guides the teaching practice by them to divide common types for the designing; furthermore discusses different influences and roles on students by each experimentations; finally ponders over questions in teaching practices for perfecting and systematizing the teaching theories of high school mathematical experimentation. The important roles of mathematical experimentation in fostering social needed talent and pushing forward modern mathematical education and promoting the development of mathematical science, all demonstrate the practical and researching significance of high school mathematical experimentation teaching design.