Using a Workshop Approach and Real Applications to Teach Calculus with Review Courses

9450746巴克斯特 研讨会微积分与审查I和II是一个独特的课程序列，它集成了基本概念的审查，需要探索微积分的想法与微积分I中通常遇到的概念的研究。 这些材料是在NSF ILI计划和美国教育部FIPSE计划的支持下开发的。 这项为期两年的评估计划的目标是：（1）确定一系列“社区规范”-即一系列希望参加微积分前/微积分综合课程的学生了解的关键概念;（2）设计和实施内部和外部评估工具，以评估学生的学习成果和态度，特别强调技术的影响;以及（3）跟踪学生的保留率，继续率，以及在随后的数学课程和其他学科的课程中的表现，这些课程都有微积分的先决条件。 材料正在各种环境中进行beta测试，开发人员正在协助同事调整材料以供其机构使用。 根据该项目进行的评估结果，将对微积分讲习班第一和第二教学材料进行改进并出版，以广泛传播。 将公布该项目的结果，并分发评估工具。 工作坊微积分与复习I和II是微积分前概念与微积分I材料的整合，是为那些不准备进入微积分I的学生设计的。 该序列提供了进入传统微积分序列的网关。 在讲习班的环境中，讲座被互动式教学所取代，学生在实践中学习，并反思他们所做的事情。 在研讨会环境中，讲座被互动教学所取代，课堂和实验室工作之间没有正式的区别。 在课堂上，学生探索自己的数学思想，并发现自己的方法来解决问题，适当地使用技术，并在他们的学生活动指南任务合作。

9450746 Baxter Workshop Calculus with Review I and II is a unique sequence of courses which integrates a review of fundamental concepts needed to explore ideas in calculus with the study of concepts normally encountered in Calculus I. Materials have been developed with support from the NSF ILI program and the U.S. Department of Education FIPSE program. The goals of this two-year assessment project are to: (1) identify a list of "community norms" - that is, a list of key concepts students who take an integrated pre- calculus/calculus sequence are expected to know; (2) design and implement internal and external assessment tools to evaluate student learning gains and attitudes, with a particular emphasis on the impact of technology; and, (3) track student retention rates, continuation rates, and performance in subsequent mathematics classes and classes in other disciplines that have a calculus prerequisite. Materials are being beta tested in a variety of settings and developers are assisting colleagues in adapting the materials for use at their institutions. Based on outcomes of the assessments undertaken by this project, the Workshop Calculus with I and II instructional materials will be refined and published for widespread dissemination. The results of the project will be published and the assessment tools will be distributed. Workshop Calculus with Review I and II is a integration of pre- calculus concepts with Calculus I material and is designed for students who are not prepared to enter Calculus I. The sequence provides a gateway into the traditional calculus sequence. In the Workshop environment, lectures are replaced by interactive teaching, where students learn by doing and by reflecting on what they have done. In the workshop environment, lectures are replaced by interactive teaching in which no formal distinction is made between classroom and laboratory work. In class, students explore mathematical ideas on their own and discover their own approaches to solving problems, using technology as appropriate and by working collaboratively on tasks in their Student Activity Guides.