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融合内容的教学知识之课例研究
引用本文:徐章韬.融合内容的教学知识之课例研究[J].中学教育,2014(4):48-56.
作者姓名:徐章韬
作者单位:华中师范大学数学与统计学学院,湖北武汉430079
基金项目:2012年湖北省本科高校“专业综合改革试点”项目数学与应用数学(师范)专业综合改革;2013年湖北省教学改革项目“师范生拔尖创新型人才培养的理论与实践”(20130930).
摘    要:借鉴Kahan等的教学过程和基本要素研究框架,以情意原理、序进原理和活动原理作为解析课堂教学的框架,调查师范生融合内容的教学知识的实然水平。师范生的教学水平大致分布在三个等级上,师范生对学与教的理解有明显的缺失。如果师范生对知识的发生发展过程认识较为深刻,那么知识教学的序列安排就与知识发生的历史过程拟合得较好;如果师范生对做数学的一般机制有一定的体会,那么学生思维过程的设计就与历史上人们做数学的活动经验较为相似。数学发生发展的知识是影响师范生课堂教学水平的重要因素之一。

关 键 词:面向教学的数学知识  融合内容的教学知识  数学的发生发展  师范生

The Investigation of Knowledge of Content and Teaching of Pre-serviceTeachers
XU Zhang-tao.The Investigation of Knowledge of Content and Teaching of Pre-serviceTeachers[J].Basic Education,2014(4):48-56.
Authors:XU Zhang-tao
Institution:XU Zhang-tao(College of Mathematics and Statistics, Central China Normal University, Wuhan,Hubei, 430079)
Abstract:Drawing on Karan’s framework of teaching process and the basic teaching elements, we develop the Qingpu principles toanalyze the classroom teaching. We investigate pre-service teachers’ knowledge of the content and teaching of trigonometric functions. Thelevels of pre-service teachers distribute three different ranks, in addition to a small number of them with high scores, most of the rest with lowscores. This shows pre-service teachers lacking of understanding of learning and teaching. If the pre-service teachers have a more profoundunderstanding of the genesis and development of mathematics knowledge, the arrangement of the sequence of knowledge teaching will fitwell with the historical process. If the pre-service teachers know the general mechanisms of doing mathematics, the design of the processof students’thinking will be similar to the mathematics activities experience of the people in the history. The knowledge of the genesis anddevelopment of mathematics have important effects on the teaching level of the pre-service teachers.
Keywords:mathematical knowledge for teaching  knowledge of content and teaching  the genesis and development of mathematics  pre-service teachers
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