The Research Of The Educational Idea And Models Of Teaching About RME

RME, namely Realistic Mathematics Education, is the successful orientation of the mathematics education reform in the Netherlands. It is based on the idea of mathematics and mathematics education from Hans—Freudenthal. And it becomes a new way of the mathematics education reform after several decades' practice and research. Now, it is working in progress. RME has two key conceptions: realistic and mathematizing. Realistic not only embodies the reality of the content of courses, but also reflects the realizing of the learning activities in the RME. At the same time, mathematizing shows that RME is a kind of teaching methods about how to realize the mathematizing. RME has six teaching principles: activity principle, reality principle, level principle, inter-twinement principle, interaction principle and guidance principle. After the guidance of the idea about the RME, the research cliques summarize three design heuristics: guided reinvention through progressive mathematization, didactical phenomenological analysis, and emergent models or emergent modeling. The paper sums up a basic model of teaching on the basis of researching the theory and examples, and the model has several forms according to the different content of courses.Now we are charring out the new mathematics education reform in our country. Some mathematics curriculum of elementary school which are designed by the new idea, are as the same as the idea and model of RME. The paper chooses some teaching examples to analyze and assess. And at the end of the paper, it relates and assesses the tentative attempt that to design the teaching by using the idea and model of RME in the mathematics classroom of the senior middle school.RME has some inspires and directive function. Teacher will pay attention to the connection between the mathematical knowledge and the realistic, while analyzing the teaching material and designing the teaching. And the teaching should be in the light of the regular of the student's mathematical development. By the way, the process of mathematical learning is mathematizing. It is full of activity, exchange, and experience.