View: Video For Exploring The World

这项研究将调查视频在帮助中学生学习随着时间推移而变化的数学基础方面的力量。通过将数字化视频图像与强大的分析软件相连接，将创建环境，在此环境中，学生可以对函数之间的关系、其价值的变化和变化的积累建立强有力的理解。我们的计划是使用视频作为数据，一种使视频成为分析过程的活跃部分的观点，而不仅仅是一种激励策略。因此，视频成为一种新的、灵活的数据收集设备，学生可以使用它来探索他们周围世界以前无法访问的方面，并将数学与科学联系起来。该项目将制作和试验几个原型系统，使用视频提供数学和科学之间可见的、突出的联系，并支持学习随时间变化的基本概念。这些系统，再加上对它们在学生学习中所起作用的描述，将构成该项目的一个成果。在项目的第二阶段，我们将根据我们在原型方面的经验，设计和实现一个单一的系统。这个系统的效果将通过与专家合作，专注于几个关键的数学概念，构建体现这些概念的问题，并在这些挑战方面将中学生与大学生进行比较来评估。通过这些活动，我们将了解视频技术的各种特点对学生学习的影响。

The study will investigate the power of video in helping middle school students learn the mathematical bases of change over time. By connecting digitized video images with powerful analytical software, environments will be created in which students can construct robust understandings of the relationships among functions, changes in their values, and accumulations of changes. The plan is to use video as DATA, a view that renders video an active part of the analysis process, not merely a motivational ploy. Thus, video becomes a new, flexible data-collection device that students can use to explore previously-inaccessible aspects of the world around them and to relate mathematics to science. The project will produce and experiment with several prototype systems for using video to provide visible, salient connections between mathematics and science and to support the learning of basic concepts of change over time. These systems, coupled with descriptions of the roles they played in students' learning, will constitute one outcome of the project. In the second phase of the project, we will design and implement a single system, based on the results of our experiences with prototypes. The effects of this system will be evaluated by working with experts in focusing on several key mathematical concepts, constructing problems that embody the concepts, and comparing middle school students to college students with respect to these challenges. Through these activities we will understand the effect of various characteristics of the video technology on students' learning.