Collaborative Research: The Impact of Early Algebra on Students' Algebra-Readiness

合作研究：早期代数对学生代数准备的影响

• 批准号: 1219606
• 负责人: Eric Knuth
• 金额: $ 42.19万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2012
• 资助国家: 美国
• 起止时间: 2012-10-01 至 2017-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1219606&HistoricalAwards=false
• 关键词: Collaborative; Research; Impact; Early; Algebra

The Impact of Early Algebra on Students' Algebra-Readiness is a collaborative project at the University of Wisconsin and TERC, Inc. They are implementing and studying a research-based curriculum that was designed to help children in grades 3-5 prepare for learning algebra at the middle school level. Researchers are investigating the impact of a long-term, comprehensive early algebra experience on students as they proceed from third grade to sixth grade. Researchers are working to build a learning progression that describes how algebraic concepts develop and mature from early grades through high school. This study helps to build our knowledge about the piece of the progression that is just prior to entering middle school where many students begin formal instruction in algebra.Building on previous research about early algebra learning, researchers will teach a curriculum that was carefully designed to reflect what we know about learning algebraic concepts. Previous research has shown that young children from very diverse backgrounds have the ability to construct algebraic ideas such as equality, representation, generalization, and functions. Researchers are collecting data about students' algebraic knowledge as well as arithmetical knowledge.We know that the majority of students in the United States struggle with learning formal algebra. By studying the implementation of the research-based curriculum for an extended period of time, researcher's are learning about how algebraic ideas are connected and whether or not early instruction on algebraic ideas will help students learn more formal ideas in middle school.

早期代数对学生代数准备的影响是威斯康星大学和TERC，Inc。的合作项目。他们正在实施和研究基于研究的课程，该课程旨在帮助3 - 5年级的儿童准备在中学一级学习代数。 研究人员正在调查长期，全面的早期代数经验对学生从三年级到六年级进行的影响。 研究人员正在努力建立一个学习进步，该学习进步描述了代数概念如何从早期到高中的成熟。 这项研究有助于建立我们对进入中学之前的进步的知识，许多学生开始在代数上进行正式教学。在先前有关早期代数学习的研究中，研究人员将教授一项课程，该课程经过精心设计，以反映我们对学习代数概念的了解。先前的研究表明，来自非常不同背景的幼儿具有构建代数思想的能力，例如平等，表示，概括和功能。研究人员正在收集有关学生代数知识以及算术知识的数据。我们知道，美国的大多数学生都在学习正式的代数方面努力。 通过研究长时间的基于研究的课程的实施，研究人员正在学习如何联系代数思想以及对代数思想的早期教学是否会帮助学生在中学中学习更多正式思想。