A Teaching Research About Functions' Problem-solving Of The Senior High School Based On RMI Principle

The new curriculum ideas advocated lifting mathematical literacy, embodied in the teaching not only focus on teaching knowledge, but also pay attention to the teaching of mathematical thinking. Function is the core knowledge of high school mathematics teaching, among other mathematical knowledge are closely linked, and has important applications in practice. In this study, under the guidance of RMI principles, can more easily reveal the contact function between knowledge and other mathematical knowledge, but also the means to provide a mapping application function model. Therefore, the present study is to use the principle of internal relations RMI analysis functions and other high school mathematics knowledge to analyze the actual problem function model construction process and characteristics, in an effort to enhance the quality of students' thinking, to explore ways of teaching.This study comprises seven chapters: The first chapter of the reasons raised by this issue are described; the second chapter is RMI principles, Review of two aspects of the functions' problem-solving; the third chapter describes the meaning of the RMI principle, the principle of the nature of RMI analysis, RMI principles of teaching the value of mining; fourth chapter is part of the investigation, including interviews with teachers and students in the survey; the fifth chapter, Chapter VI is the key chapter of this study analyzes the principle in RMI under guidance on how to establish contact functions and other mathematical knowledge between the contact function with the actual problems that exist among and cited examples of instances of function model between functions, equations, inequalities transformed to explain RMI principle in Teaching; The seven chapters of the RMI by awareness of the principles,teaching suggestions findings and analysis presented teaching and research, have the following main points:(1) Based on the principle of inter-function RMI and other intellectual problem-solving teaching strategies :Prominent ideological transformation of teaching,to build links between different knowledge;Outstanding teach the means of mapping,grasp the nature of mathematical knowledge; Outstanding multi-angle transformation, culture flexibility of thinking;Outstanding common teaching mapping tool to improve troubleshooting efficiency.(2) Based on RMI principles to enhance students 'mathematical function model ability strategy: effectively analyze target original image, enhance students' ability to understand the real issues; build mapping bridge system to train students to mathematical knowledge proficiency; choose the right target image, enhance students' ability to solve the function of the model; inversion of actual return, students will develop a mathematical conclusion inversion back the actual inspection habits.