Institute in the History of Mathematics and its Use in Teaching

数学史研究所及其在教学中的应用

• 批准号: 9752755
• 负责人: V. Frederick Rickey
• 金额: $ 15万
• 依托单位: Mathematical Association of America
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1998
• 资助国家: 美国
• 起止时间: 1998-02-01 至 2001-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9752755&HistoricalAwards=false
• 关键词: Institute; History; Mathematics; its; Use

In the mathematics reform of the past decade, there has been growing recognition that the history of mathematics should be an integral part of the teaching and learning of mathematics at all levels. Mathematicians who teach the history of mathematics and who use this history to improve their teaching are in need of more knowledge and resources to prepare to teach their students. The Mathematical Association of America (MAA) will continue the successful Institute in the History of Mathematics and its Use in Teaching (IHMT) the goal of which is to increase the presence of history in the undergraduate mathematics curriculum. At the same time the IHMT will target teacher preparation programs developing materials for use in K-12 classrooms and materials for use in teacher preparation programs. Faculty involved in teacher preparation will be important participants in the IHMT. Through an ongoing year-round program of activities which include intensive two-week programs in one summer with a follow-up week in the successive summer for mathematics faculty new to the use of history; a two-week program each summer for faculty with experience in the use of history; a vigorous email discussion group together with the 80 participants in the original institute; supervised research by IHMT alumni; new participants will be prepared to teach courses in the history of mathematics and to use history to improve their teaching of standard undergraduate mathematics courses, especially teacher preparation courses; experienced faculty will publish materials to assist all faculty in introducing history. Fifteen historians of mathematics, all of whom are known to be excellent teachers, will lead explorations of the history of mathematics from antiquity through the twentieth-century, stressing applications and links between different areas of mathematics. Specific techniques for incorporating history into undergraduate mathematics courses will be a central theme. Through presentations at national and regional ma thematics meetings, publications, and electronic communications, the information and techniques of IHMT will be disseminated nationally making changes in the teaching of mathematics.

在过去十年的数学改革中，人们越来越认识到数学史应该成为各级数学教与学的一个组成部分。教授数学史并利用数学史来改进教学的数学家需要更多的知识和资源来准备教他们的学生。 美国数学协会（MAA）将继续成功的研究所在数学史及其在教学中的应用（IHMT），其目标是增加历史在本科数学课程中的存在。 与此同时，IHMT将针对教师准备方案，开发用于K-12教室的材料和用于教师准备方案的材料。 参与教师准备的教师将是IHMT的重要参与者。 通过一个持续的全年活动计划，其中包括在一个夏天密集的两周课程，在连续的夏季为数学教师新的历史使用后续一周;每年夏天为教师提供为期两周的课程，在历史的使用经验;一个充满活力的电子邮件讨论组与原研究所的80名参与者一起;由IHMT校友监督研究;新学员将准备教授数学史课程，并利用历史来改进标准本科数学课程的教学，特别是教师准备课程;有经验的教师将出版材料，协助所有教师介绍历史。 15位数学历史学家，他们都被认为是优秀的教师，将领导从古代到20世纪的数学史的探索，强调数学的不同领域之间的应用和联系。将历史纳入本科数学课程的具体技术将是一个中心主题。通过在国家和地区数学会议上的演讲、出版物和电子通信，IHMT的信息和技术将在全国范围内传播，从而改变数学教学。