Flipping Calculus

《翻转微积分》的目的是改变《微积分》教材的教与学。翻转课程指的是一种教学方法，在这种方法中，大部分内容通过在线视频、课堂笔记和阅读材料转移到课堂之外，而作业（如习题集、实验和应用）则转移到课堂上。翻转微积分课程的教师将课堂时间用于支持参与合作讨论和解决问题的学生小组。高级教员正在创建一个视频课程库，这些课程与微积分的关键概念相对应。此外，他们正在开发和完善指导问题集和评估，以评估学生取得的进步。最终，一个翻转微积分的网站将被创建，该网站将提供视频和课程材料，以供广泛传播。该项目活动基于对学生学习方式的研究，旨在积极吸引学生学习微积分，使他们对材料有更深的理解，最终记住并应用所学的技能和概念。该项目涉及至少六名数学教师，在项目的第一年对200多名学生产生直接影响，在第二年对300多名学生产生直接影响。项目负责人通过在地区和国家会议上展示他们的发现和材料，在一个致力于翻转微积分的网站上分享录像带、问题集、实验室和讨论问题，以及在数学教育期刊上发表文章，来扩大其影响。

The purpose of Flipping Calculus is to transform the teaching and learning of the material in Calculus. Flipping a course describes an instructional approach in which the delivery of a majority of the content is moved outside of class, via online videos, lecture notes, and readings, while homework, such as problem sets, labs, and applications, are shifted into the classroom. Instructors in Flipped Calculus are devoting class time to supporting small groups of students who are engaged in collaborative discussions and problem solving. Senior faculty are creating a library of videotaped lessons which correspond to key calculus concepts. In addition, they are developing and refining guided problem sets and assessments to evaluate the progress made by the students. Eventually, a website for flipping calculus will be created, which will host the videos and course materials, available for broad dissemination.The project activities are based on research on how students learn and are designed to actively engage students in Calculus so they obtain a deeper understanding of the material, ultimately remembering and applying the skills and concepts they learn. This project involves at least six mathematics faculty members and is having a direct impact on more than 200 students during the first year of the project and upwards of 300 students in year two. The project leaders are extending the impact by presenting their findings and materials at regional and national conferences, sharing the videotapes, problem sets, labs and discussion questions on a website dedicated to flipping Calculus, as well as publishing articles in mathematics education journals.