Revitalizing Undergraduate Number Theory

这个项目是(在密歇根理工大学和亚利桑那州立大学)为改进的本科生数论课程开发和实施的课程材料。这门新课程融合了许多在早期数学教育改革项目中成功应用的想法和创新。这门课程将整合的新特点包括：使用引导发现作为学生学习的主要模式；使用数学a促进数值实验；学生之间合作形成和调查猜想；减少对讲课的重视；以及详细说明已获得的结果的学生实验室报告。拟议课程的目标对像是中学数学预科教师，他们是课程中的大多数学生。在项目的第一年，将准备好拟议课程的所有材料：实验前工作表和家庭作业；数学笔记本；将分发给学生的描述课程性质和对实验报告的期望的文件；以及帮助在其他地点实施的教师指南。所有材料都将是免费的，感兴趣的各方可以通过匿名ftp获得。

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.