Tracking the Course of Mathematical Learning

该项目的目标是提高我们跟踪学生如何学习解决数学问题以及如何在智能辅导系统的背景下更好地指导数学的能力。认知的基本模型为研究计划提供了信息，这就是安德森的ACT-R。研究人员将研究眼动追踪和大脑成像的潜力，以改善学习的跟踪。它将侧重于目前在高中使用的计算机代数辅导，并正在进行调整，以供中学使用。过去的研究表明，基于眼球运动的教学干预可以通过检测学生何时遇到问题并消除他们困惑的性质来改善学习。目前的研究将集中在开发基于使用一个实用的基于网络的摄像头，可以在教室里部署的干预措施。我们的目标是设计一个系统，将在个人的学习过程中作出反应。他们提出了三个项目线：第一个项目，涉及功能磁共振成像大脑成像，将识别数学学习的关键方面的大脑相关性（例如，当学生只是犯了一个计算错误时，与当他们感到困惑时相比，是否存在不同的活动模式）。第二个项目将在教学互动中进行脑成像研究。研究团队将尝试确认第一行中确定的感兴趣区域将推广到与导师一起学习。他们还将尝试视情况而定的辅导，在这种辅导中，他们根据大脑信号做出分支教学决定。第三个项目将专注于推进眼动追踪方法，使其能够通过网络摄像头用于课堂教学。

The goal of this project is to improve our ability to track how students learn to solve mathematical problems and how better to instruct mathematics in the context of intelligent tutoring systems. The underlying model of cognition informing the research program is Anderson's ACT-R. The researchers will look both at the potential of eye tracking and of brain imaging to improve the tracking of learning. It will focus on a computer-based algebra tutor that is currently in use in high school and is being adapted for use in middle schools. Past research has shown that instructional interventions based on eye movements can improve learning by detecting when students are having problems and by disambiguating the nature of their confusions. The current research will focus on developing interventions based on using a practical web-based camera that might be deployed in the classroom. The goal is to devise a system that will respond to the course of learning in the individual. They propose three project lines: The first project, involving fMRI brain imaging, will identity brain correlates of critical aspects of mathematics learning (e.g., whether there is a different pattern of activiation when students have simply made a computational error as opposed to when are they confused). The second project will conduct brain imaging studies during tutorial interactions. The research team will attempt to confirm that the Regions of Interest identified in the first line will generalize to learning with the tutor. They will also attempt contingent tutoring in which they branch instructional decisions depending on the brain signal. The third project will focus on advancing eye tracking methodology to the point where it can be used for instruction in the classroom by means of a web-cam.