从APOS理论看高中生对函数概念的理解

On Senior Middle School Student Understanding of the Concept of Function from APOS Theory

APOS理论由美国数学教育家杜宾斯基提出.APOS理论强调学生对数学概念的建构要经历操作阶段、过程阶段、对象阶段和图式阶段.我国高中生在函数概念的建构过程中,大部分学生达到操作阶段和过程阶段,很少的学生达到对象阶段,一部分学生达到图式阶段.在对象阶段,随着年级的增长,学生的认识程度在提高;在函数概念的建构各阶段,重点学校的学生认识程度整体上好于普通学校.

APOS theory emphasized that construction of mathematics concept must experience an action stage, process stage, object stage, scheme stage. By investigating, we had analyzed construction process about senior middle school students. According to the APOS theory, the majority of students attained the action stage and the process stage, the few students is in the object stage, a part of students are in the scheme stage. In every stage of construction of function concept, the understanding degree of the key senior middle school students were better than students in ordinary senior middle school.