基于APOS理论的初中平面几何教学的题组设计研究

Plane geometry group design in middle school plane geometry teaching based on APOS theory

APOS理论将数学概念教学分为操作、过程、对象和图式4个阶段.本文以角平分线性质及相关知识训练的题组设计为例,阐述如何利用APOS理论进行平面几何题组教学.分析了操作、过程、对象和图式4个阶段在平面几何解题教学意义下的确切含义,并提出相应的教学原则.

APOS theory divides the teaching of mathematical concepts into four stages： operation,process,object and schema.The paper takes the design of the subject group of the character of angle bisector and related knowledge training as an example to describe how to use APOS theory to solve geometry teaching.It focuses on the theoretical interpretation of the exact meanings of the four phases of operation,process,object and schema the teaching of plane geometry and puts forward the corresponding teaching principle.