| The special need for talents in the 21st century determinates that the transformation target of high school mathematics classroom teaching mode is to give full play to the initiative of the students, focus on the process and cultivate the innovation ability. Put the subjectivity of the students into full play. Make the students study initiatively. Make the classroom full of open and free inquiring spirit. Take advantage of the personalities of the students. Instruct the student to get the various ideas and methods of problem solution. Cultivate the creativity of the students. Improve the knowledge and capacity of the students. Based on these two points, absorb the ideas of constructivism, use the inquiry study method, problem inquiry teaching mode which is full of vigor emerges in the transformation of high school mathematics teaching. The problem inquiry teaching mode takes the problem as the link to make the students build the knowledge, develop the intelligence and improve the capability actively and innovatively through high level guidance in the process of putting forward, analyzing and solving problems.Problem inquiry teaching mode is an effective way to explore the class teaching transformation of high school. Through cultivating the capability of using mathematical knowledge to analyze and solve problems, improve the mathematical consciousness and ability. Change the mathematics teaching mode of high school from traditional"knowledge transfer"mode to"practice"mode which is characteristic by initiative study and is student-oriented.This thesis analyses, researches and explores the problem inquiry based mode of high school mathematics class teaching from several aspects– theoretical basis, characteristics, significance, practice research, mode assessment and some thoughts etc. |