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Leib, Elena R.; Starr, Ariel; Younger, Jessica Wise; Bunge, Silvia A.; Uncapher, Melina R.; Rosenberg-Lee, Miriam – Developmental Psychology, 2023
The present study tests two predictions stemming from the hypothesis that a source of difficulty with rational numbers is interference from whole number magnitude knowledge. First, inhibitory control should be an independent predictor of fraction understanding, even after controlling for working memory. Second, if the source of interference is…
Descriptors: Inhibition, Fractions, Mathematical Concepts, Knowledge Level
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Kärki, Tomi; McMullen, Jake; Lehtinen, Erno – Educational Studies in Mathematics, 2022
Rational number knowledge is a crucial feature of primary school mathematics that predicts students' later mathematics achievement. Many students struggle with the transition from natural number to rational number reasoning, so novel pedagogical approaches to support the development of rational number knowledge are valuable to mathematics…
Descriptors: Number Concepts, Elementary School Mathematics, Elementary School Students, Predictor Variables
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Stelzer, Florencia; Andrés, María Laura; Canet-Juric, Lorena; Urquijo, Sebastián; Richards, María Marta – International Electronic Journal of Mathematics Education, 2019
The present study analyzed the relationship between domain-general abilities and fraction knowledge in fifth grade, and investigated the mediating role of division competence in that relationship. Children (n = 175) were assessed in fourth grade on domain-general abilities (selective attention, working memory, fluid intelligence) and on division…
Descriptors: Division, Fractions, Mathematics Instruction, Foreign Countries
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Switzer, J. Matt – International Journal for Mathematics Teaching and Learning, 2016
Research findings have established that students often struggle with mathematical symbols including common misconceptions for literal symbolic representations of variables but provide little evidence of when or how these misconceptions arise. This article reports findings from a study of grade 4-6 students' conception(s) for various…
Descriptors: Elementary School Mathematics, Grade 4, Grade 5, Grade 6
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Lyons, Ian M.; Price, Gavin R.; Vaessen, Anniek; Blomert, Leo; Ansari, Daniel – Developmental Science, 2014
Math relies on mastery and integration of a wide range of simpler numerical processes and concepts. Recent work has identified several numerical competencies that predict variation in math ability. We examined the unique relations between eight basic numerical skills and early arithmetic ability in a large sample (N = 1391) of children across…
Descriptors: Predictor Variables, Elementary School Students, Grade 1, Grade 2
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Ivrendi, Asiye – Mathematics Education Research Journal, 2016
Number sense and self-regulation are considered foundational skills for later school learning. This study aimed to investigate the predictive power of kindergarten children's number sense and self-regulation scores on their mathematics and Turkish language examination scores in the 5th and 6th grades. The participants in this study were 5th grade…
Descriptors: Foreign Countries, Kindergarten, Number Concepts, Self Control
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Jordan, Nancy C.; Carrique, Jessica; Hansen, Nicole; Resnick, Ilyse – Grantee Submission, 2016
This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined…
Descriptors: Fractions, Numeracy, Numbers, Grade 3
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McMullen, Jake; Hannula-Sormunen, Minna M.; Laakkonen, Eero; Lehtinen, Erno – Journal of Educational Psychology, 2016
Many people have serious difficulties in understanding rational numbers, limiting their ability to interpret and make use of them in modern daily life. This also leads to later difficulties in learning more advanced mathematical content. In this study, novel tasks are used to measure 263 late primary school students' spontaneous focusing on…
Descriptors: Numbers, Mathematical Concepts, Elementary School Students, Predictor Variables
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Hannula-Sormunen, Minna M.; Lehtinen, Erno; Räsänen, Pekka – Mathematical Thinking and Learning: An International Journal, 2015
This seven-year longitudinal study examined how children's spontaneous focusing on numerosity (SFON), subitizing based enumeration, and counting skills assessed at five or six years predict their school mathematics achievement at 12 years. The participants were 36 Finnish children without diagnosed neurological disorders. The results, based on…
Descriptors: Preschool Children, Arithmetic, Mathematics Skills, Foreign Countries
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Seethaler, Pamela M.; Fuchs, Lynn S.; Star, Jon R.; Bryant, Joan – Learning and Individual Differences, 2011
The purpose of the present study was to explore the 3rd-grade cognitive predictors of 5th-grade computational skill with rational numbers and how those are similar to and different from the cognitive predictors of whole-number computational skill. Students (n=688) were assessed on incoming whole-number calculation skill, language, nonverbal…
Descriptors: Numbers, Short Term Memory, Concept Formation, Grade 5
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Ye, Ai; Hansen, Nicole; Resnick, Ilyse; Carrique, Jessica; Jordan, Nancy – Society for Research on Educational Effectiveness, 2016
The purpose of the present study was to reveal the developmental pathway from third grade cognitive competencies to sixth grade conceptual and procedural fraction knowledge through the intervening whole numerical skills at fifth grade. The study used empirical data that come from 536 students in nine schools across two Delaware public school…
Descriptors: Fractions, Number Concepts, Mathematics Skills, Numeracy
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Yang, Der-Ching; Li, Mao-Neng – Educational Technology & Society, 2013
The purpose of this study was to examine the relative effectiveness of two different learning modes; namely, a computer animation self-directed learning approach and a paper version of the self-directed learning approach, to 5th-graders' number sense development. Two 5th-grade classes, 30 students each, were selected from a public elementary…
Descriptors: Foreign Countries, Elementary School Students, Elementary School Mathematics, Instructional Effectiveness