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Some Cognitive Factors as Causes of Mistakes in the Addition of Fractions.
Peer reviewed Peer reviewed
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
On the Theoretical Foundation of the Cognitive Method: A Strategy for Teaching Word Problems.
Peer reviewed Peer reviewed
Yeshurun, Shraga – International Journal of Mathematical Education in Science and Technology, 1980
The cognitive method, an algorithmic method for transforming verbal word problems into equations, equation systems, inequalities, etc., is presented and discussed. The psychological and mathematical aspects of the cognitive method are also reviewed. (MP)
Descriptors: Algorithms, Cognitive Processes, Educational Psychology, Learning Theories
Child-Methods in Secondary Mathematics.
Peer reviewed Peer reviewed
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
Computational Estimation Performance and Strategies Used by Fifth- and Eighth-Grade Japanese Students.
Peer reviewed Peer reviewed
Reys, Robert E.; And Others – Journal for Research in Mathematics Education, 1991
Computational strategies and estimating abilities of 466 Japanese students were tested and interviews with a subsample of that group were used to compare with a theoretical model based on a sample from the United States. Results of the comparison of computational and estimating abilities are presented. (CW)
Descriptors: Algorithms, Arithmetic, Cognitive Processes, Cognitive Style