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Exploring the Origins, Uses, and Interactions of Student Intuitions: Comparing the Lengths of Paths.

Chiu, Ming Ming – Journal for Research in Mathematics Education, 1996
Sixteen middle school students ranked the lengths of various paths in problem-solving interviews. Every student invoked at least one of four intuitions that originated from their everyday experiences: compression, detour, complexity, and straightness. Students continued to use their inadequate intuitions in the posttest before applying learned…
Descriptors: Algorithms, Interviews, Intuition, Junior High Schools

Hostetler, Robert P. – Journal for Research in Mathematics Education, 1973
Descriptors: Algorithms, Curriculum, Elementary School Mathematics, Instruction

Carraher, Terezinha Nunes; And Others – Journal for Research in Mathematics Education, 1987
Sixteen Brazilian third graders aged 8-13 were given problems involving multidigit computation. School-taught algorithms were likely to be used in school-taught problems, with little carry-over to real problem situations, but resulted in more incorrect answers. (MNS)
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research