Bringing out the Algebraic Character of Arithmetic

展现算术的代数特征

• 批准号: 9909591
• 负责人: David Carraher
• 金额: $ 89.27万
• 依托单位: TERC Inc
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-01-01 至 2003-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9909591&HistoricalAwards=false
• 关键词: Bringing; out; Algebraic; Character; Arithmetic

We propose to longitudinally investigate children's algebraic concepts and notation from grades 2 through 4 in order to understand how they develop in accordance with their understanding of number and quantity. Classroom teaching experiments in mathematics will provide a setting for the work. The research will be largely exploratory, relying upon analyses of classroom episodes, clinical interviews, and written productions by the children. This methodology yields more than a convenience vantage point for observing children's development; it influences their very mathematical learning and thinking.

我们建议纵向研究儿童从二年级到四年级的代数概念和记法，以了解他们是如何根据对数字和数量的理解而发展的。数学课堂教学实验将为这项工作提供一个环境。这项研究将在很大程度上是探索性的，依赖于对课堂情节、临床访谈和儿童书面作品的分析。这种方法不仅为观察儿童的发展提供了一个便利的有利位置，它还影响了他们的数学学习和思维。