数线表现与数学结果之间的关系:两个元分析
Zehra E Ünal1, Züleyha Terzi2, Beyzanur Yalvaç2
1Department of Psychological Sciences, University of Missouri, Columbia, USA.
Developmental science
|April 5, 2024
概括
了解数字直线是数学技能的关键. 研究表明,数列表的表现预测了数学上的成功,特别是在分数方面,即使考虑到一般的认知能力.
科学领域:
- 认知心理学 认知心理学
- 教育心理学教育心理学
- 数学教育教育 数学教育
背景情况:
- 数线任务对于评估数学发展至关重要,特别是理解数值大小.
- 之前的研究表明,数轴表现与更广泛的数学成就之间存在着密切的联系.
- 一般认知能力对这种关系的影响尚未完全阐明.
研究的目的:
- 以元分析的方式检查数线表现和数学成就之间的关系.
- 为了调查这种关系是否保持在控制一般认知能力 (智商,工作记忆) 和一般数学能力之后.
- 确定理解整数直线对分数能力的具体影响.
主要方法:
- 进行了两个元分析.
- 第一个元分析综合了162项研究 (33,101名参与者) 关于数线表现和数学成就.
- 第二个元分析使用了71项研究 (14,543名参与者) 的结构方程建模来控制一般认知能力和数学能力.
主要成果:
- 在数线表现 (整数和分数) 与整体数学表现 (r = 0.330.41) 之间发现了显著的正相关性.
- 在控制了一般认知能力后,数线表现和一般数学能力之间的关系仍然显著,但减少了 (β = 0.13).
- 整数直线表现独特预测的分数能力,独立于一般的认知能力,但不包括算术或计算技能.
结论:
- 数线表现是数学成绩的重要预测因素,即使一般认知能力受到控制.
- 在数直线上理解整数大小似乎是开发分数能力的特别基础.
- 这些发现强调了数字直线表示在早期数学教育中的重要性.
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