在分数和小数算法中参数化个体差异
David W Braithwaite1, Anna N Rafferty2
1Department of Psychology, Florida State University.
Cognitive science
|May 22, 2025
概括
个人数学策略的选择因全球偏见,相关和无关的特征效应而有所不同. 了解这些分数和小数算法的差异可以改善学生的数学教育.
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:
- 数学问题解决涉及战略决策.
- 个体差异显著影响战略选择和问题的特征的影响.
研究的目的:
- 用参数框架来描述数学策略选择中的个体差异.
- 为了研究这些差异,儿童的分数和小数算法解决问题.
主要方法:
- 开发了一个基于算术发展理论的战略选择数学模型.
- 包含全球偏差,相关特征效应和无关特征效应的参数.
- 在120名五年级到九年级的学生中估计了参数.
主要成果:
- 这三种类型的影响参数在学生之间都显示出了很大的差异.
- 不同的参数与域特定和域一般能力具有独特的相关性.
- 该框架有效地区分了战略选择中的个人差异.
结论:
- 数学策略选择中的个人差异可以通过认知影响的参数变化来很好地解释.
- 这种参数方法为这些差异的性质和起源提供了有价值的见解.
- 这些发现支持针对小数和小数算法的定制教育策略.
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