Research on Abstraction Ability under the Background of Mathematics Key Competencies in Junior High School in China

Abstract

The abstraction ability in junior high school is an extension of the number sense, quantity sense, and symbolic awareness in primary school, and the foundation of mathematical abstraction in senior high school. Abstraction ability is one of the key competencies that junior high school students must have. This study used the China Knowledge Network(CNKI) as a data source to analyze previous research to find out the current situations, deficiencies, and gaps in this direction and found that: (1) Current domestic research on abstraction ability against the background of mathematics key competencies mainly focuses on the following five aspects: strategies for cultivating students' abstraction ability, development status of abstraction ability, evaluation dimension division of abstraction ability, specific manifestations of abstraction ability, influencing factors of students' abstraction ability. (2) The cultivation strategies of students' abstraction ability mainly focus on six aspects, and the researchers have given more comprehensive training suggestions. The previous research mainly investigated the situations of students' abstraction ability and teachers' teaching on the training of abstraction ability. Almost all of the evaluation dimension division of abstraction ability is based on students' mastery of mathematical concepts, principles, rules, and ways of thinking in different situations. There is less research on the specific manifestations and influencing factors of abstraction ability. (3) Based on current research, future research needs to adopt more scientific research tools, a more reasonable analysis framework, expand the research scope, increase validation research, and give more scientific suggestions. So that the research on the abstraction ability of junior high school students is more comprehensive, systematic, and profound.