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APOS理论是美国数学教育学家Dubinsky出的一种关于数学概念学习的新理论.APOS理认为,学生不可能直接学到数学概念,而是通过心结构使所学的概念产生意义,因此,课堂教学的目是帮助学生建立适当的心智结构.APOS理论从动(Action)、过程(Process)、对象(Object)和图(Schema)四个阶段体现了形成数学概念的思维程.鉴于APOS理论对数学概念教学的针对性,笔做了一个基于APOS理论的数学归纳法的教学计,供同行借鉴乃至有所启迪.
APOS theory is a new theory put forward by Dubinsky, a mathematics educator in the United States, on the study of mathematical concepts.APAP reasoning that students can not directly learn mathematical concepts, but through the heart structure to make the concept of learning meaningful, so the classroom The purpose of teaching is to help students to establish the appropriate mental structure.The four stages of Action, Process, Object and Schema of APOS embody the thinking process of forming mathematical concepts.According to the theory of APOS Mathematically, the concept of mathematics teaching, pen made a mathematical induction based on the theory of APOS teaching plan, for peer reference and even enlightenment.