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Bryll, Grzegorz; Rabijewska, Barbara – International Journal of Mathematical Education in Science and Technology, 1980
The theory of unary and binary operations are discussed and illustrated with examples from school mathematics. Presentations of selected inverse operations are made and attention is drawn to certain "typical" problems that occur during instruction and learning of these concepts. (MP)
Descriptors: Algorithms, College Mathematics, Learning Problems, Mathematical Concepts
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Hasemann, Klaus – Educational Studies in Mathematics, 1981
Students recognized as less successful individuals in mathematics are tested for their understanding of fractions. The data reveals that most were only able to apply remembered rules to problems without actually knowing if the rule worked for the given situation. (MP)
Descriptors: Adolescents, Algorithms, Fractions, Learning Problems
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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