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Shared Terminology, Private Syntax: The case of recursive descriptions

机译:共享术语,专用语法:递归描述的情况

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摘要

This paper reports a study in which 11th grade students were observed, while engaged in several learning activities that address general aspects of recursion. One of these learning activities focused on the creation of recursive descriptions using natural language. The class discourse was recorded and analyzed, in order to locate patterns of students' expressions and ways of thinking. The present finding is two-fold. On the one hand, a class genre was created and used to refer to recursive phenomena and to describe them verbally. On the other hand, although they used a shared set of some agreed-upon terms, the students tended to individually construct their unique recursive descriptions. These individual methods of assembly are labeled hereafter as "private syntax". It is concluded that learners' and educators' awareness of both the "building blocks" of any recursive description and the several possibilities for assembling these blocks, might help in the process of understanding recursion in general and in further construction of recursive functions in particular.
机译:本文报告了一项研究,其中观察了11年级的学生,同时从事一些涉及递归一般方面的学习活动。这些学习活动之一着重于使用自然语言创建递归描述。记录并分析课堂话语,以定位学生的表达方式和思维方式。目前的发现有两个方面。一方面,创建了一个类体裁,用于指代递归现象并用语言进行描述。另一方面,尽管他们使用了一些已达成共识的术语的共享集,但学生还是倾向于单独构建自己独特的递归描述。这些单独的汇编方法在下文中被标记为“私有语法”。结论是,学习者和教育者对于任何递归描述的“构建块”以及组装这些块的几种可能性的认识,可能有助于总体上理解递归的过程,特别是在进一步构建递归函数的过程中。

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