Characterizing students’ beliefs about mathematics as a discipline

M. Østergaard
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Abstract

To fully possess mathematical competence and to understand its relevance, importance and aesthetics, it is essential to be aware of aspects of mathematics not only as a school subject but also as a scientific discipline. In a systematic literature review, the theoretical characterization of compulsory school students’ beliefs about mathematics as a discipline is investigated, as well as the empirical tendencies in the nature of their actual beliefs. Furthermore, the valuation of these beliefs is addressed. The 18 included studies demonstrate a clear pattern in applying a dualistic/relativistic spectrum when characterizing and analysing students’ beliefs about mathematics as a discipline, with students generally possessing dualistic beliefs, which is in contrast to what is favourable to their learning.
了解学生对数学作为一门学科的看法
要充分掌握数学能力,了解数学的相关性、重要性和美感,就必须认识到数学不仅是一门学 校科目,也是一门科学学科。通过系统的文献综述,研究了义务教育阶段学生对数学作为一门学科的信念的理论特征,以及他们实际信念性质的经验倾向。此外,还探讨了这些信念的价值。所收录的 18 项研究表明,在描述和分析学生对数学学科的信念时,采用二元对立/相对对立光谱的模式非常明显,学生普遍拥有二元对立的信念,这与有利于他们学习的信念形成了鲜明对比。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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