小学学生早期代数思维的发展进展
Siyu Sun1, Dandan Sun2, Tianshu Xu3
1College of Education, Capital Normal University, Beijing 100048, China.
Journal of Intelligence
|December 22, 2023
概括
这项研究揭示了小学生早期代数思维的发展途径,从算术转向符号推理. 提高概括和符号化技能是有效的数学教育的关键.
科学领域:
- 数学教育教育 数学教育
- 认知发展 认知发展
- 教育心理学教育心理学
背景情况:
- 早期的代数思维对于小学生的数学发展至关重要.
- 了解发展轨迹有助于教师和课程设计者.
- 现有的研究强调了需要有效的教学策略.
研究的目的:
- 研究小学生早期代数思维的发展途径.
- 识别代数思维的不同层次,从算术到象征.
- 为与认知发展保持一致的教学实践提供信息.
主要方法:
- 在上海对526名学生 (3至5年级) 进行了横截面调查.
- 12项评估测量了通用算术,功能思维和定量推理.
- 潜在类分析和个人访谈以确定发展途径.
主要成果:
- 确定了四种发展途径:算术,具体的代数,概括的代数和象征性的代数思维.
- 随着思维水平的提高,人们观察到概括和象征能力的显著改善.
- 响应策略的明显差异出现在各个发育水平.
结论:
- 基本的代数思维通过可识别的发展阶段进行.
- 课程应整合内容培养一般化能力.
- 多种表示对于刺激早期代数思维发展至关重要.
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