Study On The Mathematics Educational Thoughts Of Richard Skemp

Richard Skemp who is a famous English mathematical educationist and psychologist, not only spelled out many mathematical books, but also published many theses on human study. Because Richard Skemp is a mathematical educationist and psychologist, he can base his study on the intersection between the mathematics and psychology to deeply explore the relationship and effect between the psychology problems of mathematics study and mathematical problems. His works, Psychology on Math Study, has a great effect to others.The aim of this topic is to study teaching method and cultivate students to have a healthy psychology when studying mathematics, which is inspired by the"General Rules on Wisdom Study"of Richard Skemp. It also studies how to let students study mathematics actively and efficiently. The thesis also explores the scientific and operational ways to improve the quality of mathematical teaching. By studying and practicing this topic, I want to reach the following three targets:1. The transition of the teachers'ideas. Teachers are not the traditional educator of preaching doctrine, instructing and solving puzzles at all, but the sponsor and organizers of the class and the guider of the students who will study actively.2. Making students realize the importance of self-study. We will cultivate the students to have the spirits and intention of self-exploring and become the master of study.3.Geting students to shed the heavy work of study, improving the study efficiently, and learning the right ways of study and liking study, which will make a base for their life-long study.In reality, the process of students'learning mathematics is to construct a process to understand mathematical knowledge by them: they begin their study with their original background knowledge, activity experience and understanding. They will construct their understanding to mathematics through their own activities, including independent thinking, communicating with others and reconsidering. The constructionist believes that any teaching theory should explain how to let every student inclined to study, have an interesting in mathematics, how to stimulate their studying motive and also illustrate how the factors of environment will affect the students'studying attitudes; The teaching theory should explain how to construct the knowledge which is favorable to students'study and explain to the students how to organize the materials to promote their study and present them to the students in best ways; it should also show how to use award and penalty. When the students'learning ways are transformed from understanding, remembering and reappearance to practicing by themselves, independent exploration, cooperating and communicating, the students will not only get knowledge in mathematics classes.Reconsidering our teaching process and teaching reform, I think the mathematics class should pay attention to the learning process and emotional experience of the students. The educational ideas of the new curriculum will be best manifested if we create an environment of equality, open, operation and communication to let mathematical teaching become the teaching of math thought.The teacher who is treated as the person to preach doctrine, instruct and dispel doubts should get out of the roles as"an keeping the sound tube", but become the leading factor of the class and let students become the main body of the class.When talking about mathematical teaching, people always think the factors, which affect the teaching effect, are the bases and intelligence of the students. This is an error area of cognition. In reality, the studies of psychology have already manifested: to the students whose marks are general or relatively poor, the difference of marks between them is the non-intelligence factors but not the intelligence level.