Research On Senior High School Function Teaching Design Based On Mathematical Modeling

Since the 20 th century,There are more and more connections between mathematics and real life.Development of students’ mathematical application consciousness is as one of the basic ideas of mathematics curriculum standard.Mathematical modeling is an important means of cultivating students’ application consciousness and mathematical modeling as one of the core quality.Under such a premise,mathematical modeling has received extensive attention.The author attempts to design the teaching design of senior high school function by mathematical modeling.Through the discussion on the teaching design of mathematical modeling,it brings some enlightenment for the future teaching.This paper adopts the literature analysis,theoretical analysis,case analysis and interview ways.The teaching design principles and approach of mathematical modeling are studied,and the teaching design of each link is also studied,At the same time,Trying a case design of high school function application is based on mathematical modeling.First,the connotation,content selection,steps and status of mathematical modeling are combed,try to define and search for theoretical basis.To find the relationship between the two,through the analysis of mathematical modeling characteristics and high school function content characteristics,.At the same time,the theoretical basis of this paper is mathematization theory,constructivism theory and metacognition theory.Second,Seek the principles of mathematical modeling teaching design,according to the basic characteristics of mathematical modeling and the basic characteristics of high school function application content.There are five main aspects of principle,the first is to focus on problem awareness,the second is to select classic cases,the third is to show the initiative to build,the fourth is to develop pattern recognition and the fifth is to find a variety of models.Then,summarize the methods and approach of senior high school function teaching design.Including through the realistic background abstract function model,highlighting the general steps of mathematical modeling method,using the basic function model to solve complex function model,numerical combination,to find solutions to practical problems,teaching and using information technology toprocess data.At the same time,Design from five aspects of teaching goal,teaching process,teaching process,homework and teaching evaluation to design the teaching.Finally,Design specific teaching cases.Based on the teaching design principle、approaches of senior high school function and mathematical modeling.Take the application of " secondary function" and " simple application of trigonometric function" as an example.To teaching design and analyse the design intention,At the same time.Interview with senior high school teachers,Understand the feasibility and problems of the case.