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Vinner, Shlomo; And Others – Journal for Research in Mathematics Education, 1981
Common mistakes pupils make when adding fractions are categorized and analyzed. (MP)
Descriptors: Algorithms, Cognitive Processes, Error Patterns, Fractions
Scandura, Joseph M.; And Others – 1975
The research reported in this paper was designed to analyze the incidence of use of higher-order rules by students solving geometric construction problems. A carefully selected set of construction problems was subjected to rigorous a priori analysis by mathematics educators to determine what basic and second-order rules might be used by able high…
Descriptors: Algorithms, Artificial Intelligence, Cognitive Processes, Geometry

Booth, Lesley R. – Educational Studies in Mathematics, 1981
Common mathematical errors of pupils as identified by the Concepts in Secondary Mathematics and Science Project are identified and traced to the use of methods invented by students rather than formally taught methods. (MP)
Descriptors: Algorithms, Cognitive Processes, Learning Problems, Mathematics