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Whitacre, Ian; Rumsey, Chepina – Cognition and Instruction, 2018
This article contributes to the research literature concerning prospective elementary teachers' mathematical thinking and learning with a focus on flexibility. We present a case study of a prospective elementary teachers' development of flexibility in mental addition and subtraction during a Number and Operations course. Building upon the…
Descriptors: Mathematics Instruction, Social Influences, Preservice Teachers, Elementary Education
Whitacre, Ian – Cognition and Instruction, 2018
I present a viable learning trajectory for prospective elementary teachers' number sense development with a focus on whole-number place value, addition, and subtraction. I document a chronology of classroom mathematical practices in a Number and Operations course. The findings provide insights into prospective elementary teachers' number sense…
Descriptors: Preservice Teachers, Elementary School Teachers, Mathematics Activities, Mathematics
Frank, David J.; Macnamara, Brooke N. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2017
Performance on verbal and mathematical tasks is enhanced when participants shift from using algorithms to retrieving information directly from memory (Siegler, 1988a). However, it is unknown whether a shift to retrieval is involved in dynamic spatial skill acquisition. For example, do athletes mentally extrapolate the trajectory of the ball, or do…
Descriptors: Skill Development, Spatial Ability, Mathematics, Mental Computation