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Provocative mathematics questions: drawing attention to a lack of attention

机译:挑衅性数学问题:提请注意缺乏关注

摘要

The article investigates the role of attention in the reflective thinking of school mathematicsteachers. It analyses teachers’ ability to pay attention to detail and use their mathematicalknowledge. The vast majority of teachers can be expected to have an excellentknowledge of mathematical techniques. The question examined here is whether this kindof knowledge might structure their attention in such a way that the emphasis on proceduresdeflects their attention from the essential details. Four groups of participant teachersfrom New Zealand, Hong Kong, Germany and Ukraine were given a mini-test containingseven simple mathematics questions. Most questions in the test were provocative in thesense that they looked like routine questions but in fact had some catch. The results ofthe test were startlingçthe vast majority of the participants gave incorrect answers tomost questions in the test. After the test, the participants were given a short questionnaireto reflect on their performance on the test. Their responses were analysed using thetheories of selective, divided and focused attention and Mason’s concept of the disciplineof noticing. Implementations of the results of the study in assessment and professionaldevelopment are discussed.
机译:本文探讨了注意在学校数学老师的反思性思维中的作用。它分析了教师关注细节和使用其数学知识的能力。可以预料到绝大多数教师会精通数学技巧。这里讨论的问题是,这种知识是否可能以某种方式构成他们的注意力,使得对程序的重视将他们的注意力从基本细节上转移了出来。来自新西兰,香港,德国和乌克兰的四组参与者教师接受了包含七个简单数学问题的小型测验。测试中的大多数问题都具有挑衅性,因为它们看起来像常规问题,但实际上有一定的吸引力。测试的结果令人震惊-绝大多数参与者对测试中的大多数问题给出了错误的答案。测试后,将向参与者提供一份简短的问卷,以反映他们在测试中的表现。他们使用选择性,分散和集中注意力理论以及梅森的注意学科概念对他们的回应进行了分析。讨论了研究结果在评估和专业发展中的实现。

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    Klymchuk S;

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  • 年度 2015
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