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Braithwaite, David W.; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2018
Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…
Descriptors: Addition, Arithmetic, Correlation, Foreign Countries
Braithwaite, David W.; Siegler, Robert S. – Grantee Submission, 2018
Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…
Descriptors: Correlation, Fractions, Arithmetic, Mathematics Instruction
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Geary, David C.; Nicholas, Alan; Li, Yaoran; Sun, Jianguo – Journal of Educational Psychology, 2017
The contributions of domain-general abilities and domain-specific knowledge to subsequent mathematics achievement were longitudinally assessed (n = 167) through 8th grade. First grade intelligence and working memory and prior grade reading achievement indexed domain-general effects, and domain-specific effects were indexed by prior grade…
Descriptors: Longitudinal Studies, Mathematics Achievement, Knowledge Level, Developmental Stages
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Chesney, Marlene – Australian Primary Mathematics Classroom, 2013
Marlene Chesney describes a piece of research where the participants were asked to complete a calculation, 16 + 8, and then asked to describe how they solved it. The diversity of invented strategies will be of interest to teachers along with the recommendations that are made. So "how do 'you' solve 16 + 8?"
Descriptors: Mathematics Instruction, Mental Computation, Mathematical Logic, Addition
Levy, Roy – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2014
Digital games offer an appealing environment for assessing student proficiencies, including skills and misconceptions in a diagnostic setting. This paper proposes a dynamic Bayesian network modeling approach for observations of student performance from an educational video game. A Bayesian approach to model construction, calibration, and use in…
Descriptors: Video Games, Educational Games, Bayesian Statistics, Observation
Vendlinski, Terry P.; Chung, Greg K. W. K.; Binning, Kevin R.; Buschang, Rebecca E. – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2011
Understanding the meaning of rational numbers and how to perform mathematical operations with those numbers seems to be a perennial problem in the United States for both adults and children. Based on previous work, we hypothesized that giving students more time to practice using rational numbers in an environment that enticed them to apply their…
Descriptors: Feedback (Response), Intervention, Educational Research, Video Games
Common Core State Standards Initiative, 2011
For over a decade, research studies of mathematics education in high-performing countries have pointed to the conclusion that the mathematics curriculum in the United States must become substantially more focused and coherent in order to improve mathematics achievement in this country. To deliver on the promise of common standards, the standards…
Descriptors: Mathematics Curriculum, Mathematics Education, State Standards, Mathematics Achievement