In this article, extension and application of various mathematical propositions are expatiated through examples.

On the process of solving and proving mathematical proposition,using logical thought ability exactly will make steps strict and ordered.

For a long time, the teaching of mathematical proposition is just telling.

Research on the Curriculum Conformity of Information Technology and Junior High School Mathematics;

The junior high school mathematics textbook in new edition has no big changes in its content, hut is characterized by being up-to-date in knowledge, less complicated in calculation, practical and functional.

Under the concept of new course, dramatic changes have already taken place in the standard of junior high school mathematics classroom teaching evaluation.

Through the practice of mathematics teaching under the new curricula,the author proposes that further reform of the teaching of junior middle school mathematics can be realized through the reform of teaching materials,effective integration of learning strategies,modernization of teaching methodologies,and diversification of assessments.

"The task-based learning" entering into the teaching materials of junior middle school mathematics is a spotlight in mathematics elementary education reform.