Mathematics Partnering with Computer Science to Improve Calculus Instruction and Learning

跨学科（99）数学科学和计算机科学系正在开发微积分课堂活动，利用平板电脑的数字墨水功能，使学生能够在课堂上的各个点提交详细的问题解决方案，然后进行投影，讨论，注释和保存。正在加强一个开放源码的网上软件应用程序-信息网格，使其具有记录能力和以规则为基础的评价算法。通常，学生在应用题上的作业是随意地分散在一张纸上的，要辨别学生思想的顺序和确定思想过程的错误是不可能的，或者太耗时了。检查学生输入的顺序，即Tablet PC上的“墨水”笔画，可以在出现不同错误时对其进行分类。这个项目的智力价值是双重的：1）支持主动学习，学生以一种告知其他班级并保持教学环境流动的方式获得即时反馈; 2）收集和处理大量学生作业样本，分析紧急问题解决策略。基于这样的分析，精心选择的多步骤问题的课堂活动的结构，暂停解决问题的过程中，数据显示学生通常采取不正确的路径的交界处。该项目的更广泛的影响包括MessageGrid应用程序的实施和评估其在三县技术学院，当地两年制学院，在其他部门类似的实施克莱姆森，与贡献者和用户的项目的网站存储库的问题，并参与夏季教师研讨会的参与者。还通过收集和分析以下数据来评估该项目的影响：业绩计量（例如，普通考试分数）;使用这种方法的班级学生保留总数;学生行为和满意度调查;以及教师投入的时间和满意度调查。

Interdisciplinary (99) Faculty in the mathematical sciences and computer science are developing calculus classroom activities that exploit the digital-ink feature of the Tablet PC to enable students to submit detailed problem solutions at various points throughout a class that are then projected, discussed, annotated, and saved. An open-source web-based software application, Messagegrid, is being enhanced to include a recording capability and rubric-based evaluation-algorithm. Normally, student work on application problems is scattered haphazardly across a piece of paper where it is either impossible or too time-consuming to discern the sequence of the student's thought and to determine where the thought process goes astray. Examination of the sequence of student inputs, the "ink" strokes on the Tablet PC, permits categorization of different errors as they occur. The intellectual merit of this project is two-fold: 1) supporting active learning where students receive immediate feedback in a way that informs the rest of the class and maintains the flow of the teaching-learning environment; and 2) collecting and processing large samples of student work which is analyzed for emergent problem-solving strategies. Based on such analysis class activities with carefully-chosen multi-step problems are structured to pause the problem-solving process at junctures where the data show students typically take incorrect paths. The project's broader impacts include implementation of the Messagegrid application and evaluation of its use at Tri-County Technical College, a local two year college, similar implementation in other departments at Clemson, interactions with contributors to and users of the project's website repository of problems, and engagement with participants in summer faculty workshops. The impact of this project is also being evaluated through the collection and analysis of: performance measures (e.g. scores on common exams); student retention totals in the classes using this approach; student behavior and satisfaction surveys; and faculty investment of time and satisfaction surveys.