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Sources of individual differences in fraction skills
The purpose of this investigation was to evaluate a conceptual model of relations between two kinds of mathematical knowledge (simple arithmetic and conceptual knowledge), two kinds of child characteristics (working memory and on-task related classroom behavior), and individual differences in three...
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Published in: | Journal of experimental child psychology 2003-12, Vol.86 (4), p.277-302 |
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container_title | Journal of experimental child psychology |
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creator | Hecht, Steven A Close, Linda Santisi, Mirtha |
description | The purpose of this investigation was to evaluate a conceptual model of relations between two kinds of mathematical knowledge (simple arithmetic and conceptual knowledge), two kinds of child characteristics (working memory and on-task related classroom behavior), and individual differences in three kinds of fraction outcomes (fraction computation, estimation, and word problems) in 105 fifth grade students. Structural equation modeling provided consistent evidence that conceptual knowledge independently contributes to individual differences in the three fraction outcomes. Simple arithmetic knowledge was uniquely related only to variability in fraction computation skills. Mathematical knowledge was found to mediate some of the contributions of both working memory and classroom behavior on variability in fraction outcomes. These supported mediating processes extend the current literature by explication of the pathways via which characteristics of children may affect individual differences in fraction outcomes. |
doi_str_mv | 10.1016/j.jecp.2003.08.003 |
format | article |
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Structural equation modeling provided consistent evidence that conceptual knowledge independently contributes to individual differences in the three fraction outcomes. Simple arithmetic knowledge was uniquely related only to variability in fraction computation skills. Mathematical knowledge was found to mediate some of the contributions of both working memory and classroom behavior on variability in fraction outcomes. 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Structural equation modeling provided consistent evidence that conceptual knowledge independently contributes to individual differences in the three fraction outcomes. Simple arithmetic knowledge was uniquely related only to variability in fraction computation skills. Mathematical knowledge was found to mediate some of the contributions of both working memory and classroom behavior on variability in fraction outcomes. These supported mediating processes extend the current literature by explication of the pathways via which characteristics of children may affect individual differences in fraction outcomes.</description><subject>Biological and medical sciences</subject><subject>Child</subject><subject>Child Behavior</subject><subject>Child development</subject><subject>Cognition</subject><subject>Computation</subject><subject>Developmental psychology</subject><subject>Estimation</subject><subject>Female</subject><subject>Fractions</subject><subject>Fundamental and applied biological sciences. Psychology</subject><subject>Humans</subject><subject>Male</subject><subject>Mathematical achievement</subject><subject>Mathematical cognition</subject><subject>Mathematics</subject><subject>Memory</subject><subject>Problem Solving</subject><subject>Psychology. Psychoanalysis. Psychiatry</subject><subject>Psychology. 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subjects | Biological and medical sciences Child Child Behavior Child development Cognition Computation Developmental psychology Estimation Female Fractions Fundamental and applied biological sciences. Psychology Humans Male Mathematical achievement Mathematical cognition Mathematics Memory Problem Solving Psychology. Psychoanalysis. Psychiatry Psychology. Psychophysiology Word problem solving |
title | Sources of individual differences in fraction skills |
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