Teaching Mathematics and its Applications (TeachMap)

该奖项是借鉴了该联盟的经验，从其生产的两个学期的发展数学计划，发展数学及其应用（DevMap），提供了一种替代方法，以传统的小学和中级代数课程通常提供两年制和四年制大学。在编制发展地图课程材料时，纳入了数学是最先进技术领域的核心这一主题。开发了来自一系列行业和技术领域的应用程序和建模问题，包括工程，生物学，生物化学，环境科学，精确农业和GPS。DevMap问题是真实的、当前的，通常是开放式的，没有独特的解决方案，并且真实地代表了学生在工作场所将遇到的问题。DevMap课程和材料的成功实施将在很大程度上取决于教师使用真实但往往不熟悉的数学应用的能力。此外，这将是非常有益的教师开发额外的应用程序，以满足自己的学生的兴趣和当地雇主的需求。因此，TeachMap目前正在解决需要为教师提供必要的经验，使DevMap课程适应他们的教室。该奖项为ATE和ATE类型课程的数学教师创建了一个专业发展计划，使他们能够应对两个挑战：1。如何使用ATE类型的应用程序来提高学生的学习;及2.如何开发符合学生兴趣和本地雇主需要的ATE类型应用程序。通过参与TeachMap计划，教师正在学习如何：-在发展数学课程中使用开放式的真实应用;-在特定的ATE计划中找到适合学生的新问题来源;-识别资源（包括万维网），可能会提供数据和具体的问题设置;-创建新的问题，是开放式的，在某些情况下，需要学生的研究;- 访问和使用适当的技术，包括几何实用程序，电子表格和虚拟实验室;-通过使用短期和长期的小组活动和基于项目的评估，构建适合于建模问题的学习环境。

This award is drawing upon the experience of the Consortium gained from its production of a two-semester developmental mathematics program, Developmental Mathematics and its Applications (DevMap), that offers an alternative approach to the traditional elementary and intermediate algebra courses typically offered at two-year and four-year colleges. In producing materials for the DevMap curriculum, the theme that mathematics is central to most advanced technological fields was incorporated. Applications and modeling problems from an array of industries and technical areas including engineering, biology, biochemistry, environmental science, precision agriculture, and GPS were developed. DevMap problems are authentic and current, are often open-ended and without unique solutions, and are true representations of what students will encounter in the workplace. Successful implementation of the DevMap curriculum and materials will be largely dependent on the ability of teachers to work with authentic but often unfamiliar applications of mathematics. Additionally, it will be extremely beneficial for instructors to develop additional applications tailored to meet the interests of their own students and the needs of the local employers. Thus, TeachMap is now addressing the need to provide teachers with the experience necessary to adapt the DevMap curriculum into their classrooms. This award creates a professional development program for teachers of mathematics in ATE and ATE-type programs that is preparing them to meet two challenges:1. how to use ATE-type applications to enhance student learning; and2. how to develop ATE-type applications that are responsive to the interests of the students and the needs of the local employers. Through participation in the TeachMap program, instructors are learning how to:- use open-ended, authentic applications in developmental mathematics classes;- locate sources of new problems suitable for students in particular ATE programs;- identify resources (including the WWW) that might provide data and specific problem settings;- create new problems that are open-ended and, in some cases, that require student research;- access and use appropriate technologies including geometric utility programs, spreadsheets, and virtual laboratories;- construct learning environments appropriate to the problems being modeled by using short- and long-term group activities and project-based assessments.