Developmental Mathematics and its Applications (DevMap) Project

发展数学及其应用（DevMap）项目

• 批准号: 9950036
• 负责人: Solomon Garfunkel
• 金额: $ 67.47万
• 依托单位: Consortium For Mathematics & Its Applications Inc
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-06-01 至 2003-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9950036&HistoricalAwards=false
• 关键词: Developmental; Mathematics; its; Applications; DevMap

Students who attend two-year colleges often arrive on campus lacking the basic skills necessary to succeed in college-level work. This is a particularly serious problem for students in Science, Mathematics, Engineering, and Technology (SMET) programs, who may have significant deficits in their mathematics backgrounds but high aspirations for their future success. Students in this situation need to build both their mathematical skills and confidence in their ability to solve challenging problems in order to succeed in the mathematics-intensive programs they have selected. We propose to develop a two-semester program that will offer an alternative approach to the elementary and intermediate algebra courses currently taught at most two- and four-year colleges. Students completing this program will be prepared to enter a course in precalculus.At the 1997 National Center for Research in Vocational Education (NCRVE) workshop, "Beyond Eighth Grade," industry representatives emphasized the need for "systems thinking" that enables employees to recognize complexities inherent in situations subject to multiple inputs and diverse constraints. In addition, science-based fields such as agricultural biotechnology require technicians who are able to formulate a problem in terms of relevant factors and design an experiment to determine the influence of those various factors. Yet, most developmental programs in mathematics, at both two- and four-year colleges, offer students what amounts to a replication of the high school mathematics curriculum they either studied and forgot or never studied. We now have a chance for real and positive change. Both the National Council of Teachers of Mathematics (NCTM) Standards, published in 1989, and Crossroads in Mathematics: Standards for Introductory College Mathematics Before Calculus, published by the American Mathematical Association of Two-Year Colleges (AMATYC) in 1995, advocate an integrated approach to mathematics content. Given students' needs in developmental mathematics, the vision of the AMATYC Standards, and COMAP's experience, we propose to create a one-year sequence, Developmental Mathematics and its Applications (DevMap). We believe that there are several benefits to the DevMap approach:1. The program will not be divided into topics called algebra, geometry, intermediate algebra, and trigonometry, although all the major concepts in those courses will be covered. 2. The applications-based curriculum will appeal to mature students who choose to pursue postsecondary education; the applications can be drawn from areas in which students may find themselves working or from situations that they recognize from their daily lives. 3. Solving the problems posed in DevMap will call for integrating technology in a natural way as compared to the "drill-and-practice" use of technology currently found in many developmental mathematics programs.

上两年制大学的学生进入校园时往往缺乏在大学水平上取得成功所需的基本技能。对于科学、数学、工程和技术(SMET)专业的学生来说，这是一个特别严重的问题，他们可能在数学背景上有很大的缺陷，但对未来的成功抱有很高的期望。在这种情况下，学生需要建立他们的数学技能和对自己解决具有挑战性的问题的能力的信心，以便在他们选择的数学密集型课程中取得成功。我们建议开发一个为期两个学期的课程，为目前大多数两年制和四年制大学教授的初级和中级代数课程提供另一种方法。在1997年国家职业教育研究中心(NCRVE)举办的“八年级以后”研讨会上，行业代表强调了“系统思维”的必要性，使员工能够认识到在受到多种输入和不同约束的情况下固有的复杂性。此外，农业生物技术等以科学为基础的领域需要能够根据相关因素制定问题并设计实验以确定这些各种因素的影响的技术人员。然而，在两年制和四年制大学中，大多数数学发展项目都为学生提供了相当于复制高中数学课程的课程，他们要么学习过、忘记了，要么从未学习过。我们现在有机会实现真正和积极的改变。《》中发表的《全国数学教师标准委员会》和美国两年制数学协会1995年出版的《数学的十字路口：微积分前大学数学入门标准》都主张对数学内容采取综合方法。考虑到学生对发展数学的需求、AMATYC标准的愿景和COMAP的经验，我们建议创建一年制序列，发展数学及其应用(DevMap)。我们认为DevMap方法有几个好处：1.本课程不会分为代数、几何、中级代数和三角学等主题，尽管这些课程中的所有主要概念都将涵盖在内。2.以应用为基础的课程将吸引选择接受高等教育的成熟学生；申请可以来自学生可能发现自己工作的领域，也可以来自他们从日常生活中认识到的情况。3.解决DevMap中提出的问题需要以一种自然的方式整合技术，而不是目前在许多发展中的数学方案中找到的“演练”技术的使用。