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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
Torbeyns, Joke; Verschaffel, Lieven; Ghesquiere, Pol – Cognition and Instruction, 2006
The aim of the study was to analyze the development of children's adaptive expertise in computing sums and differences up to 100. We defined the adaptive nature of children's strategy choices on the basis of problem (addition, subtraction), achievement, and strategy performance (accuracy, speed). Sixty-nine 2nd graders of high, above-average, or…
Descriptors: Children, Computation, Arithmetic, Problem Solving

Fuson, Karen C.; And Others – Cognition and Instruction, 1996
Analyzed conceptual and linguistic complexities of matching situation word problems. Found a four-level progression in conceptualizing and solving these problems: Relational ("who had more/less" but not "how much more/less"); Language Cue (equalizing or compare language); Understand Matching Situations (difference between two…
Descriptors: Addition, Cognitive Processes, Concept Formation, Elementary School Students

Rabinowitz, Mitchell; Woolley, Kenneth E. – Cognition and Instruction, 1995
Examines the hypothesis that problem comprehension and computational processes interact during the solving of arithmetic word problems. Results suggest the absence of any interaction between the two processes. Questions the notion that automatized retrieval facilitates problem solving, as well as assertions suggesting that increasing computational…
Descriptors: Addition, Arithmetic, Attention Control, Computation