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

这个美国-墨西哥奖将支持一项研究， 里卡多博士与科学教育合作 涅米罗夫斯基的技术教育研究 中心（TERC）在剑桥，马萨诸塞州，和博士。 Ricardo Cantoral of the Centro de Investigacion y 理工学院的先进研究 墨西哥城的Nacional（CINVESTAV）。 的目的 这项研究的目的是探讨学生如何 直观的微积分概念以及 他们的概念上的困难可能有助于 制定一种改进的教学方法， 微积分 微积分概念对于理解 物理科学和日常生活中的许多事件 生活 初步结果表明， 专家可能会保留微积分的直观概念 操作不等同于那些正式的 他们被训练的微积分。 的研究人员 CINVESTAV发现了历史上早期的概念 微积分的许多共同点， 初学者学习微积分的途径 问题 通过合作探索新手和 微积分的专家概念，合作者 希望能更好地理解微积分 概念化和学习，以开发新的 微积分教学模型， 旨在培养学生的替代直觉 概念 拟议的跨国公司 合作将提供有效的协调 研究资源，旨在支持新的 微积分教育的方法

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.