The Teaching Research Of "Mathematical Culture" In The New National Standard Of High School Curriculum

Recently, there's a prevailing tendency in the study of mathematics among senior high school students, which results in the misleading idea of"uselessness of mathematics"owing to their lack of the knowledge of the nature of the mathematical culture. However, it is stressed in the new standard of the national curriculum, that the mathematical culture should be embodied in the high school mathematics teaching. In addition, there's an agreement held by many a high school math teachers and mathematics education experts that it is necessary and meaningful to blend the mathematical culture into the process of math teaching in order to change the tendency and the wrong idea among students.The researches on mathematical culture can be traced back to a long way, but the studies on the way of blending it into the math teaching process in high schools are seldom found. The present study means to explore some problems in this field.The present study tracks down the origin of the mathematical culture and illustrates the nature of the mathematical culture education. On the basis of collecting and analyzing the relating materials both home and abroad,eight teaching principles are presented in this essay as followings:(1)satisfying the culture cognition character of senior high school students;(2)making teaching design in terms of culture;(3)creating democratic and free classroom environment;(4)displaying mathematical aesthetics;(5)making use of information techniques appropriately;(6)blending mathematical culture into the mathematics teaching process reasonably;(7)avoiding"demathematization"in classroom activities;(8)avoiding"situated falsity"in introducing the topic. Inspired by the problems discovered from the questionnaire of the math teachers, a case study of blending the mathematical culture into high school math teaching classes is carried out among the high school students of grade one. From the consulting of the universities entrance examination papers for mathematics over recent years, the analyzing of the embodiment of the mathematical culture and its tendency of development in the future and further suggestions on the mathematical culture teaching are supplied in the last part of this essay.