Integers as transformations
Integers as transformations
复制标题
整数作为变换
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
T. Dreyfus
中科院分区：
文献类型：
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作者：
P. Thompson;T. Dreyfus
为了调查小学生是否能够构建对于理解初等代数至关重要的整数和整数加法的思维操作，在11个40分钟的课程中，使用计算机化的微观世界对2名六年级学生进行了为期6周的教学，该微观世界提出整数作为位置的变换，整数加法作为变换的合成，否定作为整数或整数表达式的运算符，以及将表达表示为定义的词。到最后一节课，两个学生都已经构建了否定任意整数和确定和的符号和大小的心理操作，并构建了一个允许他们否定整数表达式的替换规则。一个学生可以否定代表性的表达。
To investigate whether elementary school students can construct operations of thought for integers and integer addition that are crucial for understanding elementary algebra, 2 sixth graders were taught for 6 weeks in eleven 40-minute sessions using a computerized microworld that proposed integers as transformations of position, integer addition as composition of transformations, negation as an operator upon integers or integer expressions, and representations of expressions as defined words. By the final session, both students had constructed mental operations for negating arbitrary integers and determining the sign and magnitude of a sum and had constructed a rule of substitution that allowed them to negate integer expressions. One student could negate represented expressions.