Technically Speaking

数学科学（21）本项目旨在开发创新的课程资源，以提高数学本科学生的口头沟通能力。这些材料支持学习有效的沟通技巧，以便向以数学为导向的和一般受众传递技术思想。该项目的核心内容是制作一系列教学视频短片，并在网上免费提供，为向本科生介绍数学交流艺术提供了一种全新的方法。基于比较和对比的教学设计，网站上的教学包含多个小插图，并置有效和不良的口头交流的例子。为了积极吸引学生观众，不同群体的本科生在小短片中扮演不同的角色。除了视频小品之外，该项目还在开发配套DVD，其中包含视频小品的高分辨率副本，以及由全国公认的数学家和演讲者制作的指向性视频，该视频描述了有效演讲的细节，而这些细节不利于小品格式。该DVD还包含了几篇文章，描述了STEM教师将口头交流纳入其课程的各种技术。为了评估的目的，学生在视频教学之前和之后的演讲将由外部评审员进行评估。这一建议在智力上的价值是基于这样一种信念，即口头交流在当今世界是一项越来越重要的技能。事实上，这是学术界和工业界雇主最渴望的技能之一。然而，它经常在课程中被忽视，是最难教的技能之一。该材料为教师提供了一个有价值且易于使用的资源。视频小插图格式是通用的，可以在几乎任何设置中使用。例如，一门关于数学交流的课程，其中交流是课程的全部或部分重点，可以使用这些材料。它可以用来补充现有的课程，如顶点课程或中学教育实习，学生在其中展示他们的工作。此外，这些视频是学生准备在区域或国家专业会议上发表演讲的绝佳资源。这些材料的广泛影响是多方面的。具有有效沟通技巧的学生成为有能力的学习者，能够与广泛的人分享他们的知识。这在当今跨学科的环境中尤为重要，因为学生必须跨越科学界限传达深刻而有力的思想。这些小插图在其他学科中也很有用，比如计算机科学、物理学和工程学。从课程的角度来看，该教材提供了一种简单有效的方法，将口语交流引入数学课程。

Mathematical Sciences (21)This project is developing innovative curricular resources to improve the oral communication skills of undergraduate mathematics students. The materials support the learning of effective communication skills for delivering technical ideas to both math-oriented and general audiences. The centerpiece of the project is the creation of a series of instructional video vignettes, to be offered free of charge on the web, that provide a completely new approach to introducing the art of mathematical communication to undergraduates. Based on a compare-and-contrast pedagogical design, the instruction delivered on the website contains multiple vignettes juxtaposing effective and poor oral communication examples. To actively engage the student audience, a diverse group of undergraduate students play various roles in the vignettes. In addition to the video vignettes, the project is developing a companion DVD that contains high resolution copies of the video vignettes, as well as an instructive video by a nationally recognized mathematician and speaker, describing the finer points of delivering an effective talk that are not conducive to the vignette format. The DVD also contains several articles describing various techniques used by STEM instructors to incorporate oral communication into their programs. For evaluation purposes, student presentations delivered before and after the video instruction are being assessed by external reviewers.The intellectual merit of the proposal is grounded in the belief that oral communication is an increasingly important skill in today's world. Indeed, it is one of the most desired skills sought by academic and industrial employers. However, it is often neglected in the curriculum and is one of the hardest skills to teach. The material provides a valuable and easy-to-use resource for faculty. The video vignette format is versatile and can be used in almost any setting. For instance, a course on mathematical communication, in which communication is the entire or partial focus of the course, can use this material. It can be used to supplement an existing course, such as a capstone course or secondary education practicum, in which students present their work. Additionally, the videos are an excellent resource for preparing students to deliver talks at regional or national professional meetings. The broader impact of these materials is manifold. Students with effective communication skills become empowered learners, able to share their knowledge with a broad range of people. This is especially important in the interdisciplinary environment of today, where students must convey deep and powerful ideas across scientific boundaries. The vignettes are also useful in other disciplines such as computer science, physics, and engineering. From a curricular point of view, the material provides an easy and efficient way to introduce oral communication into a mathematics program.