Early predictors of middle school fraction knowledge
TLDR
Analysis of longitudinal data indicated that whole number magnitude knowledge in first grade predicted knowledge of fraction magnitudes in middle school, controlling for whole number arithmetic proficiency, domain general cognitive abilities, parental income and education, race, and gender.Abstract:
Recent findings that earlier fraction knowledge predicts later mathematics achievement raise the question of what predicts later fraction knowledge. Analyses of longitudinal data indicated that whole number magnitude knowledge in first grade predicted knowledge of fraction magnitudes in middle school, controlling for whole number arithmetic proficiency, domain general cognitive abilities, parental income and education, race, and gender. Similarly, knowledge of whole number arithmetic in first grade predicted knowledge of fraction arithmetic in middle school, controlling for whole number magnitude knowledge in first grade and the other control variables. In contrast, neither type of early whole number knowledge uniquely predicted middle school reading achievement. We discuss the implications of these findings for theories of numerical development and for improving mathematics learning.read more
Citations
More filters
Journal ArticleDOI
미국 Common Core State Standards for Mathematics 소개
TL;DR: The Common Core State Standards for mathematics which was released on June 2, 2010 in the U.S.A. are aligned with college and work expectations, and include rigorous content and application of knowledge through high-order skills.
Journal ArticleDOI
What’s Past Is Prologue: Relations Between Early Mathematics Knowledge and High School Achievement
TL;DR: It is found that preschool mathematics ability predicts mathematics achievement through age 15, even after accounting for early reading, cognitive skills, and family and child characteristics.
Journal ArticleDOI
Which Preschool Mathematics Competencies Are Most Predictive of Fifth Grade Achievement
Tutrang Nguyen,Tyler W. Watts,Greg J. Duncan,Douglas H. Clements,Julie Sarama,Christopher B. Wolfe,Mary Elaine Spitler +6 more
TL;DR: Using regression analyses, this study finds early numeracy abilities to be the strongest predictors of later mathematics achievement, with advanced counting competencies more predictive than basic counting competency.
Journal ArticleDOI
An Integrative Theory of Numerical Development
TL;DR: The integrative theory of numerical development as discussed by the authors posits that a coherent theme does exist, and that this theme unifies numerical development from infancy to adulthood, and thus the mental number line expands rightward to encompass larger whole numbers, leftward to include negatives, and interstitially to include fractions and decimals.
Journal ArticleDOI
Why is learning fraction and decimal arithmetic so difficult
TL;DR: This review identifies and discusses two types of difficulties: inherent difficulties of fraction and decimal arithmetic and culturally contingent difficulties that could be reduced by improved instruction and prior knowledge of learners.
References
More filters
Book
Handbook of Child Psychology
TL;DR: In this article, the authors discuss the importance of biology for human development and the role of the human brain in the development of human cognition and behavior, and propose a model of human development based on the Bioecological Model of Human Development.
Journal ArticleDOI
School Readiness and Later Achievement
Greg J. Duncan,Chantelle J. Dowsett,Amy Claessens,Katherine Magnuson,Aletha C. Huston,Pamela Kato Klebanov,Linda S. Pagani,Leon Feinstein,Mimi Engel,Jeanne Brooks-Gunn,Holly R. Sexton,Kathryn Duckworth,Crista Japel +12 more
TL;DR: A meta-analysis of the results shows that early math skills have the greatest predictive power, followed by reading and then attention skills, while measures of socioemotional behaviors were generally insignificant predictors of later academic performance.
Book
The Atomic Components of Thought
TL;DR: The preface to the book describes how C.R. Anderson's Cognitive Arithmetic transformed into Knowledge Representation and how M. Lovett's choice changed the way that people viewed the world around them.
Journal ArticleDOI
mediation: R Package for Causal Mediation Analysis
TL;DR: The mediation package implements a comprehensive suite of statistical tools for conducting causal mediation analysis in applied empirical research and implements a statistical method for dealing with multiple (causally dependent) mediators, which are often encountered in practice.