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Peer reviewedVinner, 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
Peer reviewedResnick, Lauren B.; And Others – Journal for Research in Mathematics Education, 1989
Documented are major categories of errors that appear as children learn decimal fractions. Then the conceptual sources of these errors are established. Different curriculum sequences influence the probability that these classes of errors will appear. They can be used as diagnostic tools to detect children's understanding of mathematics topics.…
Descriptors: Cognitive Structures, Concept Formation, Decimal Fractions, Diagnostic Teaching
Peer reviewedGreer, Brian – Journal for Research in Mathematics Education, 1987
Investigated was how easily pupils aged 12 and 13 who were initially unaware of the invariance of an operation (with decimals) modeling a situation could be led to such awareness. Results from clinical interviews are reviewed and a protocol presented. It appeared difficult to induce conservation. (MNS)
Descriptors: Cognitive Processes, Conservation (Concept), Decimal Fractions, Division
