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Cauley, Kathleen M. – Journal of Educational Psychology, 1988
This study assessed the extent to which procedurally proficient children (N=34) construct the part/whole logical structure that underlies the borrowing algorithm in subtraction. Results indicate that an understanding of the part/whole logic of number may be necessary to understand place value and borrowing. (TJH)
Descriptors: Abstract Reasoning, Algorithms, Elementary School Mathematics, Elementary School Students

Gardiner, Tony – Mathematics in School, 1990
Proposed is a way for teachers to distinguish between rich, challenging material that encourages mathematical thinking and material that is unsuitable. Included are multistep problems that encourage a broader understanding of mathematics. (KR)
Descriptors: Abstract Reasoning, Algorithms, Computation, Elementary School Mathematics