Earth Math Phase 3; Calculus and Statistics for a New World

以建模和真实世界数据为动机，正在开发、测试和评估一个集微积分和统计学于一体的两门课程序列。这些课程旨在提高进入科学、数学和工程以外的大学生的数学知识和技能。第一门课程使用统计学和微积分的基本概念来构建和分析模拟真实数据的代数函数；第二门课程介绍了更复杂的函数，并使用了微积分和统计学中更高级的方法。第一门课程是一门独立的核心课程；第二门课程可以成为统计学入门或“商业”微积分的有意义的替代品。该序列目前正在肯纳索州立大学和波特兰州立大学进行试点，让学生接触到工作场所使用的数学和统计概念和工具。这两门课程都广泛使用计算机来收集数据和分析现实世界的问题。本着地球代数和地球数学项目的精神，该序列纳入了NCTM和AMATYC标准的原则。地球代数和地球数学项目以前由改进高等教育基金(FIPSE)和国家科学基金会资助。传播工作包括一本教科书、讲习班、MAA迷你课程以及在因特网上张贴一些材料。评估活动正在调查技术密集的综合微积分/统计序列的可行性，该序列使用建模和数据分析来激励数学。这笔赠款支持具体的材料开发和传播活动，并补充了FIPSE整个项目的核心资金。

Using modeling and real world data as motivation, a two-course sequence which integrates calculus and statistics is being developed, tested, and evaluated. These courses are designed to improve the mathematical knowledge and skills of entering college students outside of science, mathematics, and engineering. The first course uses elementary concepts from statistics and calculus to construct and analyze algebraic functions which model real data; the second introduces more sophisticated functions and uses more advanced methods from calculus and statistics. The first course stands alone as a core course; the second can be a meaningful replacement for introductory statistics or "business" calculus. The sequence, which is being piloted at both Kennesaw State College and Portland State University, exposes students to mathematical and statistical concepts and tools used in the workplace. Both courses make extensive use of computers to gather data and analyze real world problems. In the spirit of the Earth Algebra and Earth Math projects, previously funded by both the Fund for the Improvement of Post-Secondary Education (FIPSE) and the NSF, the sequence incorporates the principles of the NCTM and AMATYC Standards. Dissemination efforts include a textbook, workshops, MAA minicourses and posting of some materials on the Internet. The assessment activities are investigating the feasibility of a technology-intensive integrated calculus/statistics sequence which uses modeling and data analysis to motivate the mathematics. This grant supports specific materials development and dissemination activities, and complements core funding for the overall project by FIPSE.