We present three schemes of behaviour to classify the difficulties of students in the interpretation and formulation of mathematical negation. This report provides a detailed analysis of one of these schemes, particularly its link with common practice, showing that some of the greatest obstacles in learning the meaning of mathematical negation are the difference between negation in mathematics and in natural language, and the tendency to classify into particular categories, that take into account the differences more than the analogies.
Negation in mathematics: obstacles emerging from an exploratory study / Antonini S.. - STAMPA. - 2:(2001), pp. 49-56. (Intervento presentato al convegno 25th Conference of the International Group for the Psychology of Mathematics Education tenutosi a Utrecht, The Netherlands nel July, 12-17, 2001).
Negation in mathematics: obstacles emerging from an exploratory study
Antonini S.
2001
Abstract
We present three schemes of behaviour to classify the difficulties of students in the interpretation and formulation of mathematical negation. This report provides a detailed analysis of one of these schemes, particularly its link with common practice, showing that some of the greatest obstacles in learning the meaning of mathematical negation are the difference between negation in mathematics and in natural language, and the tendency to classify into particular categories, that take into account the differences more than the analogies.
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