数学系师范生函数教学知识的调查研究

A Study of Mathematics Teacher Training Students'Teaching Knowledge of Function

围绕函数知识的三个方面(概念表征、图像性质、复合函数与反函数)设计了测试问卷,调查教育部某直属师范大学数学系139名师范生函数教学知识的状况。结果表明,师范生函数教学知识水平有了一定的发展,但是内部各成分之间存在较多的不一致:(1)师范生的内容与教学知识水平比内容与学生知识水平低,主要表现在师范生概念表征、复合函数与反函数这两个方面。(2)在内容与学生知识领域内,师范生关于图像性质的水平低于其他两个成分上的水平。(3)在内容与教学知识领域内,师范生关于概念表征、图像性质、复合函数与反函数的水平两两之间都存在着显著差异。

Pedagogical content knowledge is an important issue of teachers ＇ education in recent years.The ques tionnaire is designed around the three aspects of function（conceptual representation,image properties,and compos ite function with inverse function） in this study.The authors of this paper surveyed 139 teacher training students ＇ function teaching knowledge in a department of mathematics of a normal university affiliated to the Ministry of the Education The results show that,the teacher training students ＇ knowledge has made some progress,but there exist many inconsistencies within each component：（1）The level of teacher training students ＇ content and teaching knowl edge is lower than the level of content and student knowledge;（2） the content and student knowledge of graph prop erties is lower;（3） within the content and teaching knowledge,there exist significant differences in conceptual rep resentation,image properties and the level between composite functions and inverse function.