A Data-Oriented, Active Learning, Post-Calculus Introduction to Statistical Concepts, Methods and Theory

该项目正在开发一个两门课程的课程材料，介绍学生在后微积分水平的统计概念，方法和理论。这些课程提供了一个比概率和数理统计标准序列更平衡的统计学科介绍。这些材料结合了成功的统计教育项目的特点，包括培养学生的概念理解，学生通过实践活动进行探索，分析真实数据，和整合电脑工具，以提高学生的学习能力和有效地分析数据。这项计划所针对的学生受众尤其重要，因为以往的课程改革计划都侧重于为非数学专业的学生开设的入门课程。拟议的两门课程序列介绍了数学和科学专业的内容和教学法，这为他们在统计或教学职业生涯做好了准备。由于大量的数学专业成为中学教师，这些学生必须学习数据分析的基本原理，才能根据NCTM标准进行教学。 这门课程特别适合，因为它以发现为导向的方式教授学生，除了开发，测试和修订这些材料外，该项目还包括一个重要的传播和评估计划。主要成果是两本完全独立的教科书/练习册，将调查活动与更传统的阐述相结合。其他预期成果包括一套Java小程序，旨在帮助学生的概念可视化和广泛的支持材料，如教师的指南和样本考试。最后一个预期的成果是为期一周的教师发展研讨会。

This project is developing curricular materials for a two-course sequence that introduces students at the post-calculus level to statistical concepts, methods, and theory. These courses are providing a more balanced introduction to the discipline of statistics than the standard sequence in probability and mathematical statistics. The materials incorporate features of successful statistics education projects, including development of students' conceptual understandings, student explorations through hands-on activities, analysis of genuine data, and integration of computer tools both to enhance students' learning and to analyze data efficiently.The student audience targeted by this project is particularly important because it has been overlooked by previous curricular reform projects focused on the introductory course for students with majors outside of mathematics. The proposed two-course sequence introduces mathematics and science majors to content and pedagogy, which prepare them well for careers in statistics or teaching. Because large numbers of mathematics majors become teachers at the secondary school level, these students must learn fundamental principles of data analysis to be able to teach according to NCTM standards. This course is particularly appropriate as it teaches students in a discovery-oriented manner in which they should teach.In addition to developing, testing and revising these materials, the project includes a significant program of dissemination and evaluation. The primary outcomes are two fully self-contained textbook/ workbooks, which integrate investigative activities with more traditional exposition. Other expected outcomes include a suite of Java applets designed to aid students' conceptual visualization and extensive support materials such as instructor's guides and sample examinations. A final anticipated outcome is a week-long faculty development workshop.