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Transference of Objects.
Peer reviewed Peer reviewed
Van Den Brink, Jan – For the Learning of Mathematics, 1989
Presents a number of transcript examples of correct and incorrect transferences by children. Considers the objects of transference including spoken words, written symbols, models and diagrams, arithmetic procedures, and structures. Discusses the use of transference in arithmetic education. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics
Are Mathematical Understanding and Algorithmic Performance Related?
Peer reviewed Peer reviewed
Nesher, Pearla – For the Learning of Mathematics, 1986
The conceptual difference between understanding and algorithmic performance is examined first. Then some dilemmas that flow from these distinctions are discussed. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Decimal Fractions
On the Nature of Counting Activity: Perceptual Unit Items.
Peer reviewed Peer reviewed
Steffe, Leslie; And Others – For the Learning of Mathematics, 1981
Pre-experimental interviews conducted with three children to investigate three aspects of the nature of counting are detailed. Sixteen findings related to the counting of perceptual items are summarized. (MP)
Descriptors: Basic Skills, Cognitive Development, Cognitive Processes, Computation
Division Problems: Meanings and Procedures in the Transition to a Written Algorithm.
Peer reviewed Peer reviewed
Boero, Paolo; And Others – For the Learning of Mathematics, 1989
Investigates children's behaviors and conceptual achievements in the transition from informal calculation strategies to a written division algorithm. Describes five different strategies observed in the solution of division problems. Discusses the implications of the children's behavior. (YP)
Descriptors: Algorithms, Computation, Division, Elementary Education