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Direct linkWasserman, Nicholas – For the Learning of Mathematics, 2019
In combinatorics, combinatorial notation, e.g., C(n, r), is explicitly defined as a numerical value, a cardinality. Yet, we do not use another symbol to signify the set of outcomes--the collection of objects being referenced, whose cardinality is, for example, C(n, r). For an expert, this duality in notation, of signifying both cardinality and…
Descriptors: Mathematics Education, Mathematical Concepts, Symbols (Mathematics), Equations (Mathematics)
Peer reviewedBoulet, Genevieve – For the Learning of Mathematics, 1998
Presents and criticizes current theories of multiplication in order to pave the way for an alternative foundation for the concept of multiplication. Formulates a uniform concept of multiplication that recognizes anew the importance of the roles of multiplier and multiplicand. (Contains 22 references.) (ASK)
Descriptors: Arithmetic, Elementary Education, Learning Theories, Mathematics Education
Peer reviewedRowland, Tim – For the Learning of Mathematics, 1992
Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)
Descriptors: Discussion (Teaching Technique), Division, Elementary Education, Interpersonal Communication
