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Peer reviewedSchmidt, Siegbert; Weiser, Werner – Educational Studies in Mathematics, 1995
Proposes a four-category classification of semantic structures of one-step word problems involving multiplication and division: forming the n-th multiple of measures, combinatorial multiplication, composition of operators, and multiplication by formula. This classification is compatible with semantic structures of addition and subtraction word…
Descriptors: Addition, Classification, Division, Elementary Education
Schmittau, Jean – Focus on Learning Problems in Mathematics, 1991
Structure of mathematical concept of multiplication and its integration into conceptual system, with respect to formal and informal aspects of understanding for 10 university students, are investigated through linear scale assessment of examples for prototypical effects and through follow-up interview which included direct explanations of…
Descriptors: Classification, Cognitive Mapping, Cognitive Structures, Comprehension
