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

使用研讨会方法和实际应用通过复习课程教授微积分

• 批准号: 9450746
• 负责人: Nancy Baxter Hastings
• 金额: $ 10.05万
• 依托单位: Dickinson College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-10-01 至 1996-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9450746&HistoricalAwards=false
• 关键词: Using; Workshop; Approach; Real; Applications

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.

9450746巴克斯特工作坊微积分与复习I和复习II是一个独特的课程序列，将微积分中探索思想所需的基本概念的复习与微积分I中通常遇到的概念的研究相结合。材料是在美国国家科学基金会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项目的目标是：(1)确定一份“社区规范”的清单--即参加微积分预科/微积分综合顺序课程的学生应该知道的关键概念的清单；(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、续读率和在其他学科后续数学班和其他有微积分必修课的班级的表现。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，以便在他们的机构使用。根据该项目进行的评估结果，将完善和出版包含I和II教学材料的讲习班微积分，以供广泛传播。将公布该项目的结果，并分发评估工具。复习一和二的微积分工作坊是微积分预习概念和微积分一材料的结合，专为没有准备进入微积分一的学生设计。该序列提供了进入传统微积分序列的门户。在研讨会环境中，讲座被互动教学取代，学生通过做和反思自己所做的事情来学习。在车间环境中，讲课被互动式教学取代，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想法，发现他们自己解决问题的方法，适当地使用技术，并通过合作完成他们的学生活动指南中的任务。