CAREER: Teaching Mathematics Well in Community Colleges: Understanding the Impact of Reform-Based Instructional Resources

本研究计划旨在研究如何实施以学生为中心的数学教学方法的标准建议，以便系统地调查其对学生的影响。学习是可以进行的。我建议(1)敏感化研究：了解社区大学数学教师的教学环境；(2)探索性研究：测试旨在影响规划、课堂互动和验证实践的教学策略影响教学的条件。我使用定性和定量相结合的方法来收集、分析和解释数据。这项工作将发展我们对教学中的人工制品的理解，规划如何受到影响，以及如何改变本科课堂中的课堂互动。研究结果将突出社区大学数学教学的关键条件，并有助于提高人们对支持社区大学努力改进实践的必要性的认识。

This research program seeks to study how standards recommendations regarding a student-centered approach to mathematics instruction can be actualized so that systematic investigations of its impact on students? learning can be carried out. I propose (1) sensitizing studies: to understand the contexts in which mathematics faculty in community colleges teach; and (2) probing studies: to test conditions under which teaching strategies designed to influence planning, classroom interaction, and verification practices affect instruction. I use a combination of qualitative and quantitative methods for data collection, analysis, and interpretation. This work will develop our understanding of artifacts in teaching, how planning is affected and how classroom interaction can be changed in undergraduate classrooms. The results will highlight the critical conditions under which mathematics is delivered in community colleges and contribute to raise awareness of the need to support them as they strive to improve their practices.