语言和代数思维的语言
1Department of Educational Studies, Xi'an Jiaotong-Liverpool University, Suzhou, 215123, China. Jike.Qin@xjtlu.edu.cn.
Memory & cognition
|June 11, 2025
概括
数学思维依赖于语言,但这项研究表明代数规则可能不需要自然语言. 与算术不同,代数学习不受语言训练或新奇性的影响,这表明一种独特的认知过程.
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:
- 自然语言传统上被认为是数学思维的重要组成部分.
- 双语研究显示了算术中的训练语言效应,但这对代数来说还没有得到充分的探索.
- 研究语言在代数推理中的作用对于理解数学认知至关重要.
研究的目的:
- 调查代数思维是否与算术不同,是独立于自然语言的.
- 检查培训语言和新性的影响对双语和单语学生算术和代数问题的解决的影响.
- 为了确定代数中的抽象规则是否可以在不依赖特定的语言编码的情况下被学习.
主要方法:
- 训练有素的中英双语和英语单语者,用中文或英语处理算术和代数问题.
- 测试了参与者在两种语言中的新问题和以前见过的问题.
- 基于培训语言,问题类型 (算术与代数) 和新性的性能比较.
主要成果:
- 双语者对算术表现出训练语言和新奇效应,但对代数来说,这些效应减少或不存在.
- 英语单语者成功地学习了用中文呈现的代数规则,但不是算术问题.
- 与算术相比,代数规则的获取似乎不那么依赖自然语言.
结论:
- 代数规则可能不需要用自然语言编码,使其与背诵算术区别开来.
- 对代数推理的认知过程可能与以前假设的语言表示关系较小.
- 这挑战了自然语言作为所有数学思想的唯一基础的观点.
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