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Danish, Joshua; Saleh, Asmalina; Andrade, Alejandro; Bryan, Branden – Instructional Science: An International Journal of the Learning Sciences, 2017
Our paper builds on the construct of the zone of proximal development (ZPD) (Vygotsky in Mind in society: the development of higher psychological processes, Harvard University Press, Cambridge, 1978) to analyze the relationship between students' answers and the help they receive as they construct them. We report on a secondary analysis of…
Descriptors: Problem Solving, Ability, Scaffolding (Teaching Technique), Cognitive Development
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Chandler, Cynthia C.; Kamii, Constance – Journal for Research in Mathematics Education, 2009
The purpose of this study was to investigate children's construction of 10s out of the 1s they have already constructed. It was found that, for many younger children, a dime was something different from 10 pennies even though they could say with confidence that a dime was worth 10 cents. As the children grew older, their performance improved.…
Descriptors: Problem Solving, Arithmetic, Number Concepts, Children
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Heine, Angela; Thaler, Verena; Tamm, Sascha; Hawelka, Stefan; Schneider, Michael; Torbeyns, Joke; De Smedt, Bert; Verschaffel, Lieven; Stern, Elsbeth; Jacobs, Arthur M. – Infant and Child Development, 2010
To date, a number of studies have demonstrated the existence of mismatches between children's "implicit" and "explicit" knowledge at certain points in development that become manifest by their gestures and gaze orientation in different problem solving contexts. Stimulated by this research, we used eye movement measurement to…
Descriptors: Age, Eye Movements, Achievement, Human Body
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Meyer, M. L.; Salimpoor, V. N.; Wu, S. S.; Geary, D. C.; Menon, V. – Learning and Individual Differences, 2010
The contribution of the three core components of working memory (WM) to the development of mathematical skills in young children is poorly understood. The relation between specific WM components and Numerical Operations, which emphasize computation and fact retrieval, and Mathematical Reasoning, which emphasizes verbal problem solving abilities in…
Descriptors: Mathematics Achievement, Short Term Memory, Mathematics Skills, Grade 3
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Boyer, Ty W.; Levine, Susan C.; Huttenlocher, Janellen – Developmental Psychology, 2008
Previous studies have found that children have difficulty solving proportional reasoning problems involving discrete units until 10 to 12 years of age, but can solve parallel problems involving continuous quantities by 6 years of age. The present studies examine where children go wrong in processing proportions that involve discrete quantities. A…
Descriptors: Problem Solving, Cognitive Processes, Children, Elementary Education
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Swanson, H. Lee; Jerman, Olga; Zheng, Xinhua – Journal of Educational Psychology, 2008
The influence of cognitive growth in working memory (WM) on mathematical problem solution accuracy was examined in elementary school children (N = 353) at risk and not at risk for serious math problem solving difficulties. A battery of tests was administered that assessed problem solving, achievement, and cognitive processing (WM, inhibition,…
Descriptors: Elementary School Students, Inhibition, Problem Solving, Short Term Memory
Arizona Department of Education, 2009
This publication contains Arizona public schools' academic standards for grade 3. The contents of this document include the following: (1) The Arts Standard 2006--Grade 3; (2) Comprehensive Health Education/Physical Activity Standards 1997--Foundations (Grades 1-3); (3) Foreign and Native Language Standards 1997--Foundations (Grades 1-3); (4)…
Descriptors: Federal Legislation, Health Education, Sex Education, Public Health