Collaborative Research: Lessons in Mathematics and Art

合作研究：数学和艺术课程

• 批准号: 0439713
• 负责人: Annalisa Crannell
• 金额: $ 6.97万
• 依托单位: Franklin and Marshall College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-11-15 至 2008-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0439713&HistoricalAwards=false
• 关键词: Collaborative; Research; Lessons; Mathematics; Art

Mathematical Sciences (21)This project is developing and publishing an undergraduate text and solutions manual in mathematics and art, and hosting a series of workshops to disseminate and evaluate these materials.This project builds on earlier work supported through the Mathematical Sciences and Their Applications Throughout the Curriculum (MATC) program. Since 1995 the project leaders have been developing, teaching, and disseminating courses in mathematics and art. LESSONS IN MATHEMATICS AND ART, a text by Frantz, has played a central role. Through a successful series of workshops called VIEWPOINTS, undergraduate instructors from a variety of disciplines have been prepared in the use of the freely provided LESSONS. This project is preparing a complete text and a detailed Instructor's Manual.Intellectual Merit. These materials go beyond the mathematics appreciation and post facto analysis of existing art that characterize much of the current math-and-art resources. Lessons are based on problem-solving techniques that are relevant to both mathematicians and artists. The problems are innovative and do not appear in existing textbooks. They challenge students and instructors alike.Broader Impacts. Past VIEWPOINTS participants use the LESSONS materials in art courses, liberal arts math courses, and upper-level mathematics courses. The new text connects the topics and themes of mathematics and art. It is of interest to artists and mathematicians and hence has a significant cross-disciplinary appeal.

数学科学（21）这个项目正在编写和出版一本数学和艺术的本科教材和解答手册，并举办一系列讲习班来传播和评价这些材料。该项目建立在数学科学及其在整个课程中的应用（MATC）计划支持的早期工作的基础上。自1995年以来，项目负责人一直在开发、教学和传播数学和艺术课程。弗朗茨所著的《数学与艺术课程》（LESSONS IN MATHEMATICS AND ART）发挥了核心作用。通过一系列名为“观点”的成功研讨会，来自不同学科的本科教师已经准备好使用免费提供的课程。这个项目正在准备一个完整的文本和详细的教员手册。知识价值。这些材料超越了对现有艺术的数学欣赏和事后分析，这是当前许多数学和艺术资源的特征。课程基于与数学家和艺术家相关的解决问题的技巧。这些问题具有创新性，没有出现在现有的教科书中。他们对学生和教师都提出了挑战。更广泛的影响。过去的参与者在艺术课、文科数学课程和高级数学课程中使用课程材料。新教材将数学和艺术的主题联系起来。它是艺术家和数学家感兴趣的，因此具有重要的跨学科吸引力。