国外数学问题提出能力影响因素的研究述评——基于学生自身的知识经验和观念系统等“变量”因素

Review on Foreign Studies of the Influencing Factors on Mathematical Problem Posing

在数学教学中,学生问题提出能力的发展不仅与教师的教学有关,还受到学生自身已有的观念系统与知识经验等"变量"因素的影响。论述数感、符号意识、空间观念、推理能力、问题意识、学习方式等6个学生"变量"在数学教育中的大致发展进程和主要概念解释,对国外有关问题提出学生"变量"的研究成果进行分析和述评,为中国问题提出能力的培养和教学提供了借鉴和思考的方向:关注不同内容领域的问题提出特点研究;加强学生自身主观因素对问题提出能力的影响研究。

In mathematics teaching,the development of students’ability to pose questions is not only related to teachers’teaching,but also influenced by the“variable”such as students’own concept system and knowledge experience.This paper discusses the general development process and main concept interpretation of six“variables”in mathematics education,such as number sense,symbol sense,spatial sense,reasoning ability,problem sense and learning style,analyzes and reviews on the research results of the students’“variables”of problem posing in foreign countries,provides direction for the developing and teaching of problem posing ability:Characteristics research of problem posing in different content areas;Research on the influence of students’subjective factors on their problem posing ability.