Expressing Generality and Roots of Algebra
Expressing Generality and Roots of Algebra
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表达代数的一般性和根
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
J. Mason
中科院分区：
文献类型：
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作者：
J. Mason
本章阐述了数学教学的核心是唤醒学生对数学概括本质和双重专业化的敏感性。能够走路和说话的孩子已经表现出了足够的必要思维能力；学校里所理解的代数是表达和操纵一般性的语言；成功的代数教学需要关注自然代数思维的唤起和表达。没有单一的程序可以通过表达通用性来学习代数。这是唤醒和增强对代数思维的存在和潜力的敏感性的问题。提供了一些以这种方式利用的任务示例，并附有对所遇到的一些困难的评论。
This chapter makes the case that the heart of teaching mathematics is the awakening of pupil sensitivity to the nature of mathematical generalization and, dually, to specialization; that children who can walk and talk have shown plenty of evidence of the requisite thinking; that algebra as it is understood in school is the language for expression and manipulation of generalities; and that the successful teaching of algebra requires attention to the evocation and expression of that natural algebraic thinking. There is no single program for learning algebra through the expression of generality. It is a matter of awakening and sharpening sensitivity to the presence and potential for algebraic thinking. Some examples of tasks which have been exploited in this way are presented with comments about some of the difficulties encountered.