总和大于它们的自然数相加:对操作数的关系理解预测了算术/代数问题解决能力的增长
Terry Tin-Yau Wong1, Kam-Tai Kwan2
1Department of Psychology, University of Hong Kong.
Developmental psychology
|July 6, 2023
概括
了解操作数关系 (RO) 原则是数学发展的关键. 这项研究表明,RO理解预测了儿童算术和代数解决问题的能力的增长.
科学领域:
- 认知心理学 认知心理学
- 教育心理学教育心理学
- 发展心理学 发展心理学
背景情况:
- 关系到操作数 (RO) 原则,对算术至关重要,描述操作数-答案关系 (例如,sum > addends).
- 对RO理解与算术/代数解决问题的技能之间的联系的实证研究仍然有限.
- 这种差距阻碍了对儿童数学发展的全面理解.
研究的目的:
- 探讨对操作数关系 (RO) 的理解与算术/代数解决问题的技能之间的纵向关系.
- 确定RO理解是否预测了随着时间的推移问题解决能力的增长.
- 确定旨在提高数学能力的教育干预措施的潜在目标.
主要方法:
- 一项纵向研究涉及202名中国五年级学生 (57%是男孩).
- 评估学生对操作数 (RO) 原则关系的理解.
- 在为期两年的时间里,对算术和代数问题的解决能力进行多次评估.
- 潜增长曲线建模,分析RO理解与解决问题的增长之间的预测关系.
主要成果:
- 关系到操作数 (RO) 的理解被发现是算术和代数解决问题的技能增长的重要预测因素.
- 这种预测关系即使控制了数学能力的其他已知的预测因素,仍然很重要.
- 这些发现表明,RO理解在数学发展轨迹中起着至关重要的作用.
结论:
- 对操作数的关系 (RO) 的理解是儿童数学发展的重要组成部分.
- 旨在增强RO理解的教育干预可以促进算术和代数问题解决的显著改进.
- 进一步的研究应该探索RO理解影响数学学习的机制,并制定有针对性的教学策略.
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