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Direct linkFinesilver, Carla – Oxford Review of Education, 2017
There are many potential ways to represent arithmetical tasks, but students' choices may be limited by beliefs that only certain standardised representations are "legitimate" in school mathematics. Furthermore, concern for the quantity and speed of "work done" can override opportunities for meaningful engagement with the…
Descriptors: Low Achievement, Arithmetic, Mathematics Achievement, Logical Thinking
Schulz, Andreas – Mathematical Thinking and Learning: An International Journal, 2018
Theoretical analysis of whole number-based calculation strategies and digit-based algorithms for multi-digit multiplication and division reveals that strategy use includes two kinds of reasoning: reasoning about the relations between numbers and reasoning about the relations between operations. In contrast, algorithms aim to reduce the necessary…
Descriptors: Computation, Mathematics Instruction, Multiplication, Arithmetic
Peer reviewedEmpson, Susan B. – Teaching Children Mathematics, 2001
Discusses examples of children's invented equal-sharing strategies that lay a foundation for reasoning about equivalence by connecting ideas from multiplication, division, and fractions. (KHR)
Descriptors: Arithmetic, Division, Elementary Education, Fractions
