数学史对职前教师教学知识影响的质性研究——以无理数的教学为例

Qualitative Study on the Influence of the History of Mathematics on Pre-Service Teachers’ Teaching Knowledge——A Case of the Irrational Number’s Teaching

教学知识是教师特有的专业知识,对教师的教学有着重要的影响.以无理数的教学为例,研究数学史对职前教师教学知识的影响.研究发现,数学史能提升职前教师的无理数教学知识.在学科内容知识方面,数学史能帮助职前教师了解无理数和其它知识点之间的联系,了解无理数及其名称的由来.而数学史对职前教师教学内容知识的影响更大,能帮助职前教师更准确地判断学生的思维过程,更好地把握教学的重难点,使得教学设计变得更加合理.

Teaching knowledge is teachers＇ professional knowledge, has big implications for teachers＇ teaching. In this study, research the influence of the history of mathematics on teachers＇ teaching knowledge as the case of the irrational number. The study found that the history can improve pre-service teachers＇ teaching knowledge. In subject matter knowledge, the history of mathematics can help pre-service teacher know more knowledge about the irrational number. The history of mathematics has more influence on the pre-service teachers＇ pedagogical content knowledge, let them know student＇s thinking more accurately, better judge the focus and difficulty of teaching, and make the teaching design more reasonable.