The Application And Research About Teaching After And According To Students’ Learning In Mathematical Class Of Senior High School

How to inspire students to learn math with curiosity,demands and how to make them interested in it?Can teachers have a specific aims in teaching to consolidate students’ knowledge,stimulate them and improve their abilities of exploring the knowledge,making a conclusion and solving the problem?Guided by the theories of ZPD,Generative Teaching and Mathematics Constructive Instruction,this thesis has probed into the teaching strategies of "teaching based on learning" in tertiary level mathematics teaching from three stages(before class,during class and after class)according to literature research,case analysis,interview and observation.The thesis has studied how students and the teacher interact in the course of leaning and how students learn and review by themselves and how they obtain the answer.It aims to assist teachers the way of teaching,in this way,helping students form the awareness of self-learning which advances them to learn more knowledge and obtain new skills.The first chapter is the introduction in terms of the topic,the aim of research and its meaning,the current situation of the research home and abroad and the methods applied.The second chapter has defined "teaching based on learning" and its meaning and extension.It has also elaborated the theoretical foundation of teaching based on learning and its rule in teaching practice.The third chapter has depicted the real-time strategy of teaching based on learning,including the teaching plan as a carrier,the learning method,the teaching method,activities(before class and during class)and the summary after class.In this chapter,suggestions are advanced for class practice of teaching based on learning,example taken from the course of senior I,Equation Root and Zero of the Function.The last chapter has proposed some viewpoints for the key points of the teaching strategy of teaching based on learning,and summarized some easy neglectful points of the teaching strategy from the students’ and teacher’s perspective to design the teaching and learning plans and learning methods according to the course,Solution to the One-Variable Quadratic Inequality.The thesis has finally summarized the popularization significance of the teaching strategy of teaching based on learning.Through the research,the author expect that more teachers guide the students to explore and deduce the solution and in the math class,which helps students construct the mathematical thinking,master the knowledge and make students be interested and confident in learning math.Therefore,they can face the entrance examination calmly and obtain the skill of mathematical thinking.