A Library of High School Mathematics Teaching and Learning Videocases

这个NSF CCLI第一阶段项目根据实际的课堂实践开发了创新的数学教与学视频，并用于高中数学教师的方法课程。此外，本项目还对案例对职前教师学习的影响进行了研究。高中数学教学录像是指通过分析与数学、教学实践和学生思维相关的问题来促进职前教师学习的实践记录，包括描述高中数学课堂实际情况的视频和文本文件。具体地说，这些案例被用来创造情境，帮助中学预科教师发展用于教学的数学知识，了解他们对数学的隐含假设，以及数学教学和学习，同时拓宽他们对数学教学工作的认识，支持学生的数学思维。目前的研究表明，视频录像可以培养教师关注学生思维、探索数学概念和发展教师专业视野的能力。此外，在过去的十年里，以案例为基础的教师教育材料激增，主要针对小学和中学水平。然而，这样的案例相当缺乏，专门关注高中数学，从9年级到12年级，并针对职前教师教育的具体教育目标。该项目有助于为中学教师教育提供越来越多的案例教材。

This NSF CCLI Phase 1 project develops innovative mathematics teaching and learning videocases based on actual classroom practices, and then are used in methods courses for preservice high school mathematics teachers. In addition, the project conducts research on the influence of the cases on preservice teachers' learning. The High School Mathematics Teaching and Learning Videocases are defined as records of practice that include video and text documents that depict actual high school mathematics classroom situations in order to promote preservice teacher learning through the analysis of issues related to mathematics, teaching practice, and student thinking. Specifically, the cases are used to create contexts that facilitate preservice secondary teachers' development of mathematics knowledge for teaching, understanding of their implicit assumptions about mathematics, and mathematics teaching and learning while at the same time broadening their knowledge of the work entailed in teaching mathematics and supporting students' mathematical thinking. Current research demonstrates the potential of videocases to foster teachers' ability to attend to student thinking, explore mathematical concepts, and to develop teachers' professional vision. In addition, in the last decade there has been a proliferation of case-based materials for teacher education, primarily aimed at the elementary and middle school levels. There is a considerable lack, however, of such cases focused specifically on high school mathematics, grades 9 through 12, and that address educational goals specific to preservice teacher education. This project contributes to the growing body of case-based materials for secondary teacher education.