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

地球数学第三阶段；

• 批准号: 9653153
• 负责人: Nancy Zumoff
• 金额: $ 2.28万
• 依托单位: Kennesaw State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1997
• 资助国家: 美国
• 起止时间: 1997-01-01 至 2000-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9653153&HistoricalAwards=false
• 关键词: Earth; Math; Phase; Calculus; Statistics

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.

利用建模和真实世界的数据作为动机，一个整合微积分和统计学的两门课程正在开发、测试和评估中。这些课程旨在提高科学、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实际数据的代数函数；第二种方法引入了更复杂的函数，并使用了微积分和统计学中更高级的方法。第一门课程单独作为核心课程；第二种方法可以替代入门统计学或“商业”微积分。该课程目前正在肯尼索州立学院和波特兰州立大学进行试点，向学生展示数学和统计概念以及工作场所使用的工具。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，该项目之前由高等教育改善基金（FIPSE）和美国国家科学基金会（NSF）共同资助，该序列结合了NCTM和AMATYC标准的原则。传播工作包括一本教科书、讲习班、MAA迷你课程和在互联网上发布一些材料。评价活动正在调查技术密集型综合微积分/统计序列的可行性，该序列利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，并补充国际林业科学研究所对整个项目的核心资金。