Research On Model View In High School Mathematics Proposition Teaching

In January 2018,the Ministry of Education promulgated the "General Senior High School Mathematics Curriculum Standards(2017 edition)",which put forward the core quality of senior high school mathematics,which pointed out the direction for the reform of senior high school mathematics curriculum.Mathematics is the science of patterns.Mathematics mode view is to analyze patterns,apply patterns,establish patterns and appreciate patterns from the viewpoint of patterns.The establishment of mathematical models usually includes the process of pattern recognition,pattern deconstruction,pattern transformation and pattern appreciation.As an important part of mathematics teaching in senior high school,there are not many studies on mathematical proposition,and the research perspectives are basically based on pedagogical perspectives.From the perspective of mathematics,this paper starts from the basic premise that "mathematics is the science of models",hopes to explore the teaching theory of mathematical propositions based on the characteristics of mathematical disciplines(concept of models)through its own weak ability,and comforts Zhang Dianzhou’s long-cherished wish "to establish his own discourse system based on the characteristics of his own disciplines".Therefore,the article takes the mode view as the breakthrough point to study the teaching of mathematical proposition in senior high school.This article mainly uses the methods of literature research,action research to discuss the teaching process of mathematical proposition through the view of mathematical model.It mainly studies the following three questions:(1)What roles does the model view play in developing students’ core math literacy in senior high school?(2)How to practice high school mathematics teaching based on the mode view,that is,what are the implementation steps?(3)Practice the implementation steps of senior high school mathematics proposition teaching based on the model view,and reflect on the strategies of senior high school mathematics proposition teaching based on the model view.Through the research,it is found that the mode view has an obvious promoting effect on the development of students’ core math literacy in senior high school.The implementation steps of senior high school mathematics proposition teaching based on pattern view are:(1)identifying patterns and introducing propositions;(2)exploring patterns to form propositions;(3)modifying patterns to internalize propositions;(4)applying patterns to apply propositions;(5)appreciating patterns to enhance literacy.Combining the two teaching cases of "Induction Formula of Trigonometric Function" and "Line and Equation",this paper practices the teaching steps of senior high school mathematics proposition based on the mode view,and explores the teaching strategies of senior high school mathematics proposition from the mode view on the basis of reflection.Specific teaching strategies include:(1)paying attention to the application of "meta-cognitive" teaching strategy in pattern recognition;(2)strengthening "variant teaching" to identify the essential attributes of mathematical propositions from multiple perspectives;(3)combining "problem-driven" to strengthen the recognition of mathematical propositional patterns in senior high schools;(4)using "pattern integration" to form a complete knowledge structure network of propositions;(5)applying HPM to the concept of patterns to make full use of them.Mining the actual background and historical origin of mathematical model.