Junior Mathematical Thinking And Its Teaching And Research

Mathematical thought and methodology are just the same to mathematical knowledge. They are the spirit treasure that were accumulated during the long mathematical practices, the ligament that help students to form a well cognitive structure, the bridge that converging the knowledge to ability, and the important ingredient of intellective development. Therefore, strengthening them during teaching is not only the important subject of deepen teaching reformation, but also the approach to cultivate the intellective person with ability and to enhance civil diathesis.In junior high school, teaching mathematical thought and methodology must follow six principle: target, filter, climax, system, and participant. According that, this thesis put forward some propose of teaching: firstly, enhance the consciousness to teaching the mathematical thought and methodology;secondly, pay attention to discuss the practical approach of teaching the mathematical thought and methodology;thirdly, do well the exercise, consolidate and deepen the mathematical thought and methodology.The mathematical thought and methodology have some administrative levels. Its formation is harder than the understanding and mastering knowledge. Therefore, during teaching we should follow the principle that step by step and spire. That is we should according the administrative levels follow the means that from the outside to the inside ,from the easy to the deep, follow in order and advance, step by step go deep into mathematical thought and methodology gradtuallyand according the different moment repeat the same content on purpose. During experimentally investigation, the author consider that the teaching should follow four arrangement "recept— know— shape-- imbibe", and Comply climaxing principle to achieve the spire aim.