Proof Technology in Mathematics Research and Teaching
Proof Technology in Mathematics Research and Teaching
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数学研究与教学中的证明技术
DOI：
10.1007/978-3-030-28483-1_9
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Lane L
中科院分区：
文献类型：
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作者：
Lane L
我们看看英语数学家如何，在过去的一百年左右，提出了他们的活动使用隐喻的景观和旅程。我们将孤立天才的浪漫化自我展示与数学家的民族志研究进行对比，无论是单独还是合作，特别是在“博学者”格式的在线合作。后者为数学家的日常实践提供了更现实的证据，与数学教育家的“成长心态”概念相一致，即数学能力是有待发展的技能，而不是固定的特征。我们把我们的观察放在一个更广泛的文学景观，社会空间，工艺和旅行，其中联合收割机结合在概念的生产数学作为手工艺探索一个未知的景观。我们指出如何“博学”有双重的教育作用，使参与者发展自己的技能，并提供了一个公开演示的工艺数学的行动。
We look at how Anglophone mathematicians have, over the last hundred years or so, presented their activities using metaphors of landscape and journey. We contrast romanticised self-presentations of the isolated genius with ethnographic studies of mathematicians at work, both alone, and in collaboration, looking particularly at on-line collaborations in the “polymath” format. The latter provide more realistic evidence of mathematicians daily practice, consistent with the “growth mindset” notion of mathematical educators, that mathematical abilities are skills to be developed, rather than fixed traits. We place our observations in a broader literature on landscape, social space, craft and wayfaring, which combine in the notion of the production of mathematics as crafting the exploration of an unknown landscape. We indicate how “polymath” has a two-fold educational role, enabling participants to develop their skills, and providing a public demonstration of the craft of mathematics in action.