Interactions with Diagrams and the Making of Reasoned Conjectures in Geometry

Interactions with Diagrams and the Making of Reasoned Conjectures in Geometry
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与图表的交互以及几何推理的推理

DOI:
10.1007/bf02655665
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发表时间:
2004
期刊:
Zdm
影响因子:
--
通讯作者:
P. Herbst
P. Herbst
中科院分区:
--
文献类型:
--
作者:
P. Herbst

文献摘要

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相似文献

介绍了几何图形与图形相互作用的四种可能模式。这些都是用来讨论如何互动与图表支持习惯的工作“做证明”在美国几何类和互动与图表可能会支持工作的建设合理的示意图。在何种程度上,后者的互动可能会引起紧张局势的教师的工作,因为她管理学生的数学工作的说明。
Four potential modes of interaction with diagrams in geometry are introduced. These are used to discuss how interaction with diagrams has supported the customary work of ‘doing proofs’ in American geometry classes and what interaction with diagrams might support the work of building reasoned conjectures. The extent to which the latter kind of interaction may induce tensions on the work of a teacher as she manages students’ mathematical work is illustrated.