The Senior High School Mathematics Instructional Design On The Theory Of The Three Worlds Of Mathematics Under Information Technology Environment

With the continuous implementation of high school mathematics curriculum reform, thestudy of high school mathematics teaching is becoming more and more attention. Theresearch direction is develop into the exploration of mathematics teaching based on theprogressive development of psychology and learning theory and according to the law ofhuman cognitive development. The three worlds of mathematics include three method ofcognitive development:the embodied world of perception and action, the proceptual world ofsymbol, and the formal world of definition and proof,and each world has their own operatingand thinking modes. The three worlds of mathematics attach importance to the study ofhuman cognition development, and it has received the attention of mathematics educators athome and abroad. The mathematics teaching under the three worlds of mathematics is focuson the cognitive development characteristics of students, consider the original experience andability of the students,arrange class activities based on the method of students establish theconcept. This paper based on the theory of the three worlds of mathematics, re-examine themathematics teaching, according to the cognitive characteristics of students discusses seniorhigh school mathematics teaching,under the information technology environment. Thedevelopment and research of the three worlds of mathematics providing theoretical basis andframework for the study of mathematics teaching and the increase of the teaching efficiency.Therefore, based on the three worlds of mathematics, explor new ways of senior high schoolmathematics instructional design under the information technology environment.Firstly, the paper through the study of the three worlds of mathematics, introduces theframework, cognition developing process and thinking operation mode of the three worlds ofmathematics, and according to the cognitive characteristics of the three worlds of mathematicsexplains mathematics teaching mode under the three worlds of mathematics, from threeaspects of conceptual-embodied, symbolic-proceptual and axiomatic-formal. This articlebased on the above study, according to the theory of the three worlds of mathematics, presentsthe mathematics instructional design principles of the three worlds of mathematics, andexpounds the instructional design of the three worlds of mathematics. Finally, the articlepresents two specific instructional design cases，and through the experimental research method to explore the basic idea and process of senior high school mathematics instructionaldesign on the the three worlds of mathematics.This article expects by the research on the senior high school mathematics teachingunder the three worlds of mathematics, provide research direction for the future study ofmathematics teaching, also hopes that the study of this article can promote the disseminationof the theory of the three worlds of mathematics.