GeoGebra环境下基于APOS理论的数学概念教学研究——以导数概念为例

Mathematical Concept Teaching Based on APOS Theory in GeoGebra Environment——in Derivative Concept as an Example

APOS理论将数学概念教学分为活动、过程、对象和图式4个阶段.以中学导数的教学过程为例,以APOS理论为依据,借助GeoGebra软件设计数学概念教学的4个阶段：（1）创设活动情境,感悟平均速度;（2）展示探究过程,内化导数概念;（3）构造对象实体,把握运算性质;（4）建立深层图式,形成概念体系.

The APOS theory divide mathematical concept teaching into four phases of action, process, object and scheme. Based on APOS theory, we design four phases of teaching process of derivative in high school with the aid of GeoGebra. Firstly, create action situation and comprehend the mean speed; secondly, display the process of exploration and internalize the concept of derivative; thirdly, construct the entity of object and grasp the operational properties; lastly, establish deep schema and form concept system.