Connecting the equals sign
نویسندگان
چکیده
منابع مشابه
Formalizations Of Substitution Of Equals For Equals
Inference rule substitution of equals for equals has been formalized in terms of simple substitution which performs a replacement even though a free occurrence of a variable is captured contextual substitution which prevents such capture and func tion application We show that in connection with pure rst order predicate calculus the function application and no capture versions of the inference r...
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A sophisticated and flexible understanding of the equals sign (=) is important for arithmetic competence and for learning further mathematics, particularly algebra. Research has identified two common conceptions held by children: the equals sign as an operator and the equals sign as signaling the same value on both sides of the equation. We argue here that, in addition to these two conceptions,...
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Traditionally, models of complexity used in psychology have been based on probabilistic and algorithmic paradigms. While these models have inspired a great deal of research, they are generally opaque about the relationship between complexity and the cost of information processing. We argue that the psychological complexity is easily defined and quantified in terms of change and support this arg...
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ژورنال
عنوان ژورنال: International Journal of Computers for Mathematical Learning
سال: 2007
ISSN: 1382-3892,1573-1766
DOI: 10.1007/s10758-006-9107-6