Revitalizing Undergraduate Number Theory

这个项目是开发和实施（在密歇根理工大学和亚利桑那州立大学）课程材料的一个改进的本科数论课程。 这门新课程融合了许多在早期数学教育改革项目中成功运用的思想和创新。 新的功能将被整合到课程中：使用引导发现作为学生学习的主要模式;使用Mathematica来促进数值实验;学生之间的合作，以形成和调查模型;减少对讲座的重视;以及，学生实验室报告详细说明了已经获得的结果。 拟议课程的目标受众是中学数学教师，他们占课程学生的大多数。在项目的第一年，将准备拟议课程的所有材料： 工作表 和 家庭作业; Mathematica笔记本将分发给学生的文档，描述课程的性质和对实验报告的期望;以及教师指南，以帮助在其他地点实施。 所有材料将是免费的，并通过匿名ftp提供给感兴趣的各方。

This project is the developing and implementing (at Michigan Technological University and Arizona State University) course materials for an improved undergraduate number theory course. This new course incorporates many of the ideas and innovations that have been successfully employed in earlier mathematics education reform projects. New features to be integrated into the course are: the use of guided discovery as the primary mode of student learning; the use of Mathematica to facilitate numerical experimentation; collaboration between students to work on forming and investigating conjectures; a diminished emphasis on lectures; and, student lab reports detailing results that have been obtained. The target audience for the proposed course is preservice secondary mathematics teachers, who comprise the majority of students in the course. During the first year of the project, all materials for the proposed course will be prepared: pre-lab worksheets and homework assignments; Mathematica notebooks; documents to be distributed to students that describe the nature of the course and expectations for lab reports; and, an instructor's guide to assist in implementation at other sites. All materials will be free and available to interested parties via anonymous ftp.