U.S.-Mexico Cooperative Research: Expert/Novice Conceptual Approaches to Calculus

美国-墨西哥合作研究：专家/新手的微积分概念方法

• 批准号: 9115930
• 负责人: Ricardo Nemirovsky
• 金额: $ 1.99万
• 依托单位: TERC Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1992
• 资助国家: 美国
• 起止时间: 1992-03-01 至 1996-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9115930&HistoricalAwards=false
• 关键词: U.S.; Mexico; Cooperative; Research; Expert

This U.S.-Mexico award will support a research in science education collaboration between Dr. Ricardo Nemirovsky of the Technical Education Research Center (TERC) in Cambridge, Massachussetts, and Dr. Ricardo Cantoral of the Centro de Investigacion y de Estudios Avanzados del Instituto Politecnico Nacional (CINVESTAV) in Mexico City. The purpose of the proposed research is to explore how students' intuitive calculus concepts as well as knowledge of their conceptual difficulties could help in developing an enhanced approach to the teaching of calculus. Calculus concepts are essential for understanding both the physical sciences and many events in daily life. Preliminary results indicate that calculus experts may retain intuitive conceptions of calculus operations not identical with those of the formal calculus in which they are trained. Researchers at CINVESTAV have found historically early conceptions of calculus shared many commonalities with approaches of novice students to calculus-based problems. By teaming up to explore both novice and expert conceptions of calculus, the collaborators hope to better understand how calculus is conceptualized and learned in order to develop a new model of calculus instruction that recognizes and seeks to develop students' alternative intuitive conceptions. The proposed cross-national collaboration will provide an efficient coordination of research resources aimed at supporting a new approach to calculus education.

这项美国-墨西哥奖将支持马萨诸塞州剑桥技术教育研究中心（TERC）的Ricardo Nemirovsky博士、以及墨西哥国立理工学院（CINVESTAV）研究中心的里卡多·坎托拉尔博士。本研究的目的是探讨学生的直观微积分概念，以及他们对概念困难的认识，如何有助于发展一种改进的微积分教学方法。​微积分概念对于理解物理科学和日常生活中的许多事件都是必不可少的。初步结果表明，微积分专家可能保留的微积分运算的直观概念与他们所训练的形式微积分不同。CINVESTAV的研究人员发现，历史上早期的微积分概念与新手解决微积分问题的方法有许多共同点。通过合作探索初学者和专家的微积分概念，合作者希望更好地了解微积分是如何概念化和学习的，以便开发一种新的微积分教学模式，识别并寻求发展学生的替代直觉概念。拟议的跨国合作将有效地协调旨在支持微积分教育新方法的研究资源。