How Do Learners Approach Dialogic, On-Line Mathematics Videos?
How Do Learners Approach Dialogic, On-Line Mathematics Videos?
复制标题
学习者如何学习对话在线数学视频？
DOI：
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Matthew Voigt
中科院分区：
文献类型：
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作者：
Joanne Lobato;C. D. Walters;Carren Walker;Matthew Voigt
供学生学习的在线数学视频丰富；然而，它们在说明性的表达方式和对程序技巧的强调方面却出奇地一致。作为回应，我们创建了另一种在线数学视频模型，该视频是对话密集型的，专注于数学意义的发展和问题解决。每个视频都会在数学铭文旁边显示一对学生（称为人才），这使得观看视频的其他学生（称为替代学习者）可以清楚地看到人才和他们的工作。在这项探索性研究中，我们调查了 11 对替代学习者如何进行研究会议，其中他们被要求观看这些视频，然后解决相关的数学任务。我们发现，替代学习者对解释研究会议目标的方式存在质的不同，这反过来又限制了他们在解决任务和从视频中获取信息时的行为。具体来说，通过利用棋盘游戏理论，我们推断替代学习者参与了四种不同的游戏：（a）定义游戏，（b）概念图像游戏，（c）程序游戏和（d）视频专家游戏。替代学习者所玩的特定游戏对其数学工作的效率产生了影响。本文探讨了这些结果的意义和含义。
On-line math videos for student learning are abundant; yet they are surprisingly uniform in their expository mode of presentation and their emphasis on procedural skill. In response, we created an alternative model of on-line math videos that are dialogue-intensive and focus on the development of mathematical meaning and problem solving. Each video shows a pair of students (called the talent) next to their mathematical inscriptions, which allows other students viewing the videos (called vicarious learners) to see both the talent and their work clearly. In this exploratory study, we investigated how eleven pairs of vicarious learners approached a research session in which they were asked to watch these videos and then solve a related mathematical task. We found qualitatively different ways that the vicarious learner pairs interpreted the goal of the research session, which, in turn, constrained their behavior when solving the task and getting information from the videos. Specifically, by drawing upon board-game theory, we inferred that the vicarious learners engaged in four different games: (a) the Definition game, (b) the Concept Image game, (c) the Procedure game and (d) the Video Expert game. The particular game that vicarious learners played had consequences for the productivity of their mathematical work. This article explores the significance and implications of these results.