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US Department of Education, 2008
For students to compete in the 21st-century global economy, knowledge of and proficiency in mathematics are critical. Whether headed to college or to the workforce, today's high school graduates need solid mathematics skill. The National Mathematics Advisory Panel was created in 2006 and charged with reviewing the best available scientific…
Descriptors: Mathematics Education, High School Graduates, Learning Processes, Mathematics Skills
Fazio, Lisa; Siegler, Robert – UNESCO International Bureau of Education, 2011
Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…
Descriptors: Class Activities, Learning Activities, Teaching Methods, Numbers
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Schneider, Michael; Siegler, Robert S. – Journal of Experimental Psychology: Human Perception and Performance, 2010
We tested whether adults can use integrated, analog, magnitude representations to compare the values of fractions. The only previous study on this question concluded that even college students cannot form such representations and instead compare fraction magnitudes by representing numerators and denominators as separate whole numbers. However,…
Descriptors: College Students, Community Colleges, Logical Thinking, Student Behavior
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Ramani, Geetha B.; Siegler, Robert S. – Journal of Applied Developmental Psychology, 2011
We compared the learning from playing a linear number board game of preschoolers from middle-income backgrounds to the learning of preschoolers from low-income backgrounds. Playing this game produced greater learning by both groups than engaging in other numerical activities for the same amount of time. The benefits were present on number line…
Descriptors: Low Income, Preschool Children, Comparative Analysis, Numeracy
Siegler, Robert S.; Ramani, Geetha – Society for Research on Educational Effectiveness, 2009
The present study focused on two main goals. One was to test the "representational mapping hypothesis": The greater the transparency of the mapping between physical materials and desired internal representations, the greater the learning of the desired internal representation. The implication of the representational mapping hypothesis in the…
Descriptors: Feedback (Response), Disadvantaged Youth, Learning Strategies, Pretests Posttests
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Flynn, Emma; Siegler, Robert – Infant and Child Development, 2007
This special issue is dedicated to research that adopts the microgenetic method in order to investigate change as it is happening. In this commentary we reflect on the diversity of the articles included in this special issue, and examine how the findings from these articles relate to five critical features of change: path, rate, breadth,…
Descriptors: Cognitive Development, Case Studies, Change, Developmental Psychology
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Siegler, Robert S. – Developmental Science, 2007
Children's thinking is highly variable at every level of analysis, from neural and associative levels to the level of strategies, theories, and other aspects of high-level cognition. This variability exists within people as well as between them; individual children often rely on different strategies or representations on closely related problems…
Descriptors: Thinking Skills, Cognitive Processes, Children, Neurological Organization
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Siegler, Robert S.; Chen, Zhe – Developmental Science, 2008
Differentiation and integration played large roles within classic developmental theories but have been relegated to obscurity within contemporary theories. However, they may have a useful role to play in modern theories as well, if conceptualized as guiding principles for analyzing change rather than as real-time mechanisms. In the present study,…
Descriptors: Generalization, Cognitive Development, Child Development, Developmental Stages
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Ramani, Geetha B.; Siegler, Robert S.; Hitti, Aline – Journal of Educational Psychology, 2012
We examined whether a theoretically based number board game could be translated into a practical classroom activity that improves Head Start children's numerical knowledge. Playing the number board game as a small group learning activity promoted low-income children's number line estimation, magnitude comparison, numeral identification, and…
Descriptors: Number Concepts, Feedback (Response), Disadvantaged Youth, Class Activities
Sameroff, Arnold J., Ed.; Haith, Marshall M. – 1996
This book reviews the contemporary state of knowledge on developmental transitions between 5 and 7 years. Contributions are: (1) "Interpreting Developmental Transitions" (Arnold Sameroff; Marshall Haith); (2) "The Child's Entry into the 'Age of Reason'" (Sheldon White); (3) "Is There a Neural Basis for Cognitive Transitions in School-Age…
Descriptors: Academic Achievement, Age Differences, Child Development, Child Responsibility
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Siegler, Robert S.; Ramani, Geetha B. – Journal of Educational Psychology, 2009
A theoretical analysis of the development of numerical representations indicated that playing linear number board games should enhance preschoolers' numerical knowledge and ability to acquire new numerical knowledge. The effect on knowledge of numerical magnitudes was predicted to be larger when the game was played with a linear board than with a…
Descriptors: Numeracy, Number Concepts, Arithmetic, Games
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Opfer, John E.; Siegler, Robert S.; Young, Christopher J. – Developmental Science, 2011
Barth and Paladino (2011) argue that changes in numerical representations are better modeled by a power function whose exponent gradually rises to 1 than as a shift from a logarithmic to a linear representation of numerical magnitude. However, the fit of the power function to number line estimation data may simply stem from fitting noise generated…
Descriptors: Numbers, Computation, Models, Prediction
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Siegler, Robert S.; Thompson, Clarissa A.; Schneider, Michael – Cognitive Psychology, 2011
This article proposes an integrated theory of acquisition of knowledge about whole numbers and fractions. Although whole numbers and fractions differ in many ways that influence their development, an important commonality is the centrality of knowledge of numerical magnitudes in overall understanding. The present findings with 11- and 13-year-olds…
Descriptors: Mathematics Achievement, Numbers, Achievement Tests, Arithmetic
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Siegler, Robert S. – American Psychologist, 2005
A new field of children's learning is emerging. This new field differs from the old in recognizing that children's learning includes active as well as passive mechanisms and qualitative as well as quantitative changes. Children's learning involves substantial variability of representations and strategies within individual children as well as…
Descriptors: Children, Active Learning, Learning Strategies, Models
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Luwel, Koen; Siegler, Robert S.; Verschaffel, Lieven – Journal of Experimental Child Psychology, 2008
An eight-session microgenetic study of acquisition of an insightful problem-solving strategy was conducted. A total of 35 second graders who did not use this insightful strategy initially were assigned to two groups that differed in the frequency of problems likely to facilitate discovery and generalization of the strategy. Children in the…
Descriptors: Preschool Children, Grade 2, Learning Strategies, Experiential Learning
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