Collaborative Research: Understanding and Cultivating the Transition from Arithmetic to Algebraic Reasoning

协作研究：理解和培养从算术推理到代数推理的转变

• 批准号: 0115609
• 负责人: Hilda Borko
• 金额: $ 294.5万
• 依托单位: University of Colorado at Boulder
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2001
• 资助国家: 美国
• 起止时间: 2001-10-01 至 2007-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0115609&HistoricalAwards=false
• 关键词: Collaborative; Research; Understanding; Cultivating; Transition

This is a collaborative research project between three universities. The project is a comprehensive, systemic research and development program addressing three inter-related tiers of study: student learning and development; teacher beliefs, knowledge, and practice; and professional development. The project is grounded in both sound theory of how students develop algebraic reasoning and acquire domain knowledge and skills and in the beliefs and existing practices of teachers. In the student tier a detailed developmental model of students' evolving algebraic reasoning and skill acquisition will be constructed concentrating on the transition from arithmetic to algebraic reasoning. In the teaching tier a promising pedagogical approach, Bridging Instruction, will be tested. In the professional development tier a teacher professional development prototype will be implemented. The prototypeT extends an existing technology based approach. It enables the evaluation of a scalable model of teacher professional development. Technology is a central aspect of this project. The findings of this research will be implemented into a coherent educational program for students and teachers using Algebra Cognitive Tutors and the STEP web teacher professional development environments.

这是三所大学之间的协作研究项目。该项目是一项全面的，系统的研发计划，涉及三个相互关联的研究层：学生学习和发展；教师信仰，知识和实践；和专业发展。 该项目的基础是学生如何发展代数推理并获取领域知识和技能以及教师的信念和现有实践。 在学生层中，将建立一个详细的学生不断发展的代数推理和技能获取的发展模型，专注于从算术到代数推理的过渡。在教学层中，将测试一种有希望的教学方法，桥接指导将进行测试。在专业发展中，将实施教师专业发展原型。该原型扩展了现有的基于技术的方法。它可以评估教师专业发展的可扩展模型。技术是该项目的核心方面。 这项研究的发现将用于使用代数认知导师和Step Web Web教师专业发展环境的学生和教师的连贯教育计划。