Mind Bugs: The Origins of Procedural Misconceptions

Mind Bugs: The Origins of Procedural Misconceptions
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思维错误:程序误解的起源

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发表时间:
1990
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通讯作者:
K. VanLehn
K. VanLehn
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作者:
K. VanLehn

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来自出版商: 随着孩子们获得算术技能,他们经常会出现“错误”--导致系统错误的小的、局部的误解。Mind Bugs将一种新颖的认知模拟过程与仔细的假设检验相结合,以探索数学学生如何在教学环境中获得程序技能,特别关注这些程序性误解以及它们揭示的学习过程。 VanLehn发展了一种学习理论,解释了学生如何发展导致系统性错误的程序性误解。他描述了一个名为“Sierra”的计算机程序,它可以模拟学习过程,并准确预测应该发生什么类型的程序错误。这些预测是用来自世界各地学校的数千名受试者的错误数据进行测试的。此外,理论的每一个假设都是通过确定如果从理论中删除它,预测将如何变化来单独测试的。 结合机器学习、人工智能、认知心理学和语言学的研究思想,Mind Bugs专门解决了减法测试中的错误模式,例如,为什么有些学生对借款规则的理解不完善。通过在Sierra中将替代性解释假设纳入主要假设,并查看程序是否仍然解释了之前解释的所有减法错误,从而探索替代性解释假设。 Kurt VanLehn是卡内基梅隆大学心理学系的助理教授。Mind Bugs收录在由Lila Gleitman,Susan Carey,ElissaNewport和Elizabeth Spelke编辑的系列学习,发展和概念变化中。布拉德福德的书
From the Publisher: As children acquire arithmetic skills, they often develop "bugs" - small, local misconceptions that cause systematic errors. Mind Bugs combines a novel cognitive simulation process with careful hypothesis testing to explore how mathematics students acquire procedural skills in instructional settings, focusing in particular on these procedural misconceptions and what they reveal about the learning process. VanLehn develops a theory of learning that explains how students develop procedural misconceptions that cause systematic errors. He describes a computer program, "Sierra," that simulates learning processes and predicts exactly what types of procedural errors should occur. These predictions are tested with error data from several thousand subjects from schools all over the world. Moreover, each hypothesis of the theory is tested individually by determining how the predictions would change if it were removed from the theory. Integrating ideas from research in machine learning, artificial intelligence, cognitive psychology, and linguistics, Mind Bugs specifically addresses error patterns on subtraction tests, showing, for example, why some students have an imperfect understanding of the rules for borrowing. Alternative explanatory hypotheses are explored by incorporating them in Sierra in place of the primary hypotheses, and seeing if the program still explains all the subtraction bugs that it explained before. Kurt VanLehn is Assistant Professor in the Department of Psychology at Carnegie Mellon University. Mind Bugs is included in the series Learning, Development, and Conceptual Change, edited by Lila Gleitman, Susan Carey, ElissaNewport, and Elizabeth Spelke. A Bradford Book