在学习和理解《计算理论》证明作业中的中介方法

Christiane Frede
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摘要

关于学生如何在计算理论(ToC)课程中解决证明作业,缺乏经验验证的研究。我想详细了解学生在计算机科学(CS)领域遇到的困难的本质。为了收集数据,我想进行几项定性研究,调查计算机科学专业本科生如何在个人组成的学习小组中解决作业。我将使用分布式认知理论(DCOG)作为基础理论框架,并将认知过程理解为几个人,他们的环境,资源和工具/中介手段之间的相互作用。在ToC的背景下,工具/中介手段都是数学铭文、定义和概念,以及自然语言或物理媒介,如笔、纸或白板。本论文的目的是了解学生团体如何使用提供的和他们自己的中介手段,以及他们在解决证明作业时是否成功。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Using Mediational Means during Learning and Understanding of Proof Assignments from Theory of Computation
There is a lack of empirically validated studies about how students solve proof assignments in their Theory of Computation (ToC) courses. I want to get detailed insights about the nature of students' difficulties with this field of computer science (CS). To gather data, I want to perform several qualitative studies investigating how undergraduate CS majors solve assignments in individually-formed study groups. I will use Distributed Cognition Theory (DCOG) as the underlying theoretical framework and understand cognitive processes as an interplay between several humans, their environment, resources and tools/mediational means. In the context of ToC, tools/mediational means are all mathematical inscriptions, definitions and concepts as well as natural language or physical media like pen & paper or whiteboards. The goal of this dissertation is to understand how student groups use provided and their own mediational means and whether they are successful during solving proof assignments.
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