Young student's generalisation in arithmetic and algebra: patterns and mathematical structure.

年轻学生的算术和代数概括：模式和数学结构。

• 批准号: DP0987737
• 负责人: Prof Elizabeth Warren
• 金额: $ 9.68万
• 依托单位: Australian Catholic University
• 依托单位国家: 澳大利亚
• 项目类别: Discovery Projects
• 财政年份: 2009
• 资助国家: 澳大利亚
• 起止时间: 2009-01-01 至 2011-12-31
• 项目状态: 已结题
• 来源: https://dataportal.arc.gov.au/RGS/Web/Grants/DP0987737
• 关键词: Young; student; generalisation; arithmetic; algebra

The ability to generalise is at the heart of the development of most computer based mathematical models, models utilised to assist us in addressing our National Research Priorities. The short fall of scientists and mathematicians is a national concern. These issues begin at an early age. Presently, increasingly more young students are making minimal progress on numeracy measures and consequently failing to engage in higher levels of mathematics. The basis for this problem is experiential. This research promotes in-depth understanding of how young students generalise mathematics in the early years, thus allowing them access to the powerful ideas of algebra, leading to improved outcomes in mathematics.

概括能力是大多数基于计算机的数学模型开发的核心，这些模型用于帮助我们解决我们的国家研究重点。科学家和数学家的短缺是一个全国性的问题。这些问题开始在很小的年龄。目前，越来越多的年轻学生在计算能力方面取得的进步微乎其微，因此无法参与更高水平的数学。这个问题的基础是经验。这项研究促进了对年轻学生如何在早年概括数学的深入了解，从而使他们能够获得代数的强大思想，从而改善数学成果。