Bringing out the Algebraic Character of Arithmetic

我们建议纵向调查儿童的代数概念和符号从2年级到4，以了解他们如何发展，按照他们的理解数和量。 数学课堂教学实验将为这项工作提供一个环境。 这项研究将主要是探索性的，依赖于课堂事件的分析，临床访谈，并由儿童的书面作品。 这种方法产生的不仅仅是一个方便的观察儿童发展的Vantage;它影响他们的数学学习和思考。

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.