结构对应假设预测语言中的单词和句子如何与数学中的术语和原则相关
Jiaxin Cui1, Liting Lv1, Fan Yang2,3
1College of Education, Hebei Normal University, 20 Nanerhuandong Road, Shijiazhuang, 050024, China.
Cognitive processing
|December 8, 2023
概括
当语言和数学具有结构上的相似性时,它们就会联系在一起. 这项研究发现了几何术语处理和词类比,以及几何原理处理和高中学生的句子完成之间的相关性.
科学领域:
- 认知科学 认知科学
- 心理语言学 心理语言学
- 数学教育教育 数学教育
背景情况:
- 语言和数学能力之间的关系是一个复杂而有争议的领域.
- 之前的研究还没有明确定义这两个领域相关的条件.
- 了解这种联系对于改善教育策略至关重要.
研究的目的:
- 提出和测试结构对应假设,假设语言和数学在它们共享同等结构时是相关的.
- 研究不同复杂度的语言和数学处理之间的相关性.
- 检查认知共变量对语言与数学关系的影响.
主要方法:
- 招募了150名高中生参加数学和语言测试.
- 在元素层面 (几何术语与词类比) 和低维组合层面 (几何原理与句子完成) 评估处理.
- 根据年龄,性别,一般智力和空间处理能力进行控制.
主要成果:
- 在几何术语处理和文字类比之间发现了显著的相关性.
- 几何原理处理和句子完成也显示出了显著的相关性.
- 在测试语言和数学任务之间没有观察到其他显著的相关性.
结论:
- 这些发现支持结构对应假说,表明共享的结构性质促进了语言和数学之间的关联.
- 这项研究为理解语言和语言化数学之间的关系提供了一个新的框架.
- 这项研究强调了结构等价在涉及语言和数学的认知任务中的重要性.
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