The fundamental cycle of concept construction underlying various theoretical frameworks

The fundamental cycle of concept construction underlying various theoretical frameworks
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各种理论框架下概念构建的基本循环

DOI:
10.1007/bf02655855
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发表时间:
2005
期刊:
Zdm
影响因子:
--
通讯作者:
D. Tall
D. Tall
中科院分区:
--
文献类型:
--
作者:
J. Pegg;D. Tall

文献摘要

被引文献

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在本文中,发展的数学概念随着时间的推移被认为是。特别提到的是转移注意力从一步一步的程序,在时间上进行,象征主义,可以操纵作为精神实体在纸上和心灵。发展分析使用不同的理论观点,包括SOLO模型和各种理论的概念建设,揭示了一个基本的周期的基础上建设的概念,广泛的特点,在不同的思维方式,发生在整个数学学习。
In this paper, the development of mathematical concepts over time is considered. Particular reference is given to the shifting of attention from step-by-step procedures that are performed in time, to symbolism that can be manipulated as mental entities on paper and in the mind. The development is analysed using different theoretical perspectives, including the SOLO model and various theories of concept construction to reveal a fundamental cycle underlying the building of concepts that features widely in different ways of thinking that occurs throughout mathematical learning.