| During the course of mathematics classroom teaching,inquiring teaching can not only Provide teachers with a method which teach students how to solve Problem but provide students with chance of practice and exercise to obtain the direct experience of scientific inquiring process. Students take part in the process of inquiring teaching and experience the process of obtaining the mathematics knowledge,which will help them establish the new recognition of mathematics and learn the basic inquiring method. The theory and practice of classroom teaching and learning of mathematical inquiring teaching is valuable.The Geometer's Sketchpad (GSP) has gained its great popularity among the mathematic teachers and is now serving as the best software platform for the inquiring teaching of mathematic. This paper first depicts the development and actuality of inquiring teaching. Combining with the project'Great-Leap-Forward Development of Basic Education'and motion methodology,elaborates mathematics inquired into in the type teaching process the establishment situation strategy, proposed the question strategy, independently inquired into strategy, cooperation exchange strategy, proposes the essential factor of classroom teaching and learning of mathematical inquiring based on GSP in high school, has constructed the teaching step of'creating situation—establishing questions—open investigation—cooperation and communizing—integration and applying—including and expanding'. Finally, through the experiment on high school mathematical class,it argues the actability of teaching steps and the affectivity of inquiring teaching. |