How structure sense for algebraic expressions or equations is related to structure sense for abstract algebra
How structure sense for algebraic expressions or equations is related to structure sense for abstract algebra
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代数表达式或方程的结构意义与抽象代数的结构意义如何相关
DOI：
10.1007/bf03217479
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发表时间：
2008
影响因子：
1.8
通讯作者：
Maureen Hoch
中科院分区：
文献类型：
--
作者：
J. Novotná;Maureen Hoch
许多学生在高中和大学里对基本的代数概念有困难。本文定义了两个层次的代数结构感：高中代数和大学代数。我们认为，高中代数结构意义成分是大学代数结构意义成分的子成分，大学代数结构意义的几个成分是高中代数结构意义成分的类比。我们提出了这些假设的理论论据，与一些例子。我们建议在高中代数中强调结构感，希望能为学生在大学代数中的学习铺平道路。
Many students have difficulties with basic algebraic concepts at high school and at university. In this paper two levels of algebraic structure sense are defined: for high school algebra and for university algebra. We suggest that high school algebra structure sense components are sub-components of some university algebra structure sense components, and that several components of university algebra structure sense are analogies of high school algebra structure sense components. We present a theoretical argument for these hypotheses, with some examples. We recommend emphasizing structure sense in high school algebra in the hope of easing students’ paths in university algebra.