Research on Mathematical Concept Teaching Strategies in Senior High School Based on the APOS Theory

Abstract

Mathematical concepts are the basic elements of mathematics and the key for students to understanding and mastering problem-solving skills along with mathematical thoughts, so they are critical to learning and teaching mathematics. However, current mathematical concept teaching in senior high school is facing various challenges. For example, many teachers ignore the background against which these concepts were developed and fail to lead students to explore the essence of concepts, intentionally memorize mathematical concepts, or figure out their structure. The concept teaching based on the APOS (action, process, object, and schema) theory now prevails. This paper explores the strategies of teaching mathematical concepts in senior high school using the APOS theory, so as to provide a reference for teachers who also engage themselves in this field.