Fractions: The new frontier for theories of numerical development

RS Siegler, LK Fazio, DH Bailey, X Zhou - Trends in cognitive sciences, 2013 - cell.com
Recent research on fractions has broadened and deepened theories of numerical
development. Learning about fractions requires children to recognize that many properties …

[HTML][HTML] Environmental influences on mathematics performance in early childhood

AM Silver, ME Libertus - Nature Reviews Psychology, 2022 - nature.com
Abstract Mathematics skills relate to lifelong career, health and financial outcomes.
Individuals' cognitive abilities predict mathematics performance and there is growing …

Core numerical skills for learning mathematics in children aged five to eight years–a working model for educators

P Aunio, P Räsänen - European early childhood education …, 2016 - Taylor & Francis
The aim of this study was to model the most crucial numerical factors to the development of
mathematical skills among children aged five to eight years (ie kindergarten, preschool, first …

The relations between phonological processing abilities and emerging individual differences in mathematical computation skills: A longitudinal study from second to …

SA Hecht, JK Torgesen, RK Wagner… - Journal of Experimental …, 2001 - Elsevier
The primary purpose of this longitudinal correlational study was to examine relations
between phonological processing abilities and emerging individual differences in math …

Differential contribution of specific working memory components to mathematics achievement in 2nd and 3rd graders

ML Meyer, VN Salimpoor, SS Wu, DC Geary… - Learning and individual …, 2010 - Elsevier
The contribution of the three core components of working memory (WM) to the development
of mathematical skills in young children is poorly understood. The relation between specific …

Development of mathematical understanding

DC Geary - Handbook of child psychology, 2007 - Wiley Online Library
The chapter reviews research on infants' and children's developing mathematical
competencies—from the ability to determine sizes of small sets to the solving of word …

Sources of individual differences in children's understanding of fractions

RK Vukovic, LS Fuchs, DC Geary, NC Jordan… - Child …, 2014 - Wiley Online Library
Longitudinal associations of domain‐general and numerical competencies with individual
differences in children's understanding of fractions were investigated. Children (n= 163) …

[图书][B] Toward a visually-oriented school mathematics curriculum: Research, theory, practice, and issues

F Rivera - 2011 - books.google.com
What does it mean to have a visual representation of a mathematical object, concept, or
process? What visualization strategies support growth in mathematical thinking, reasoning …

The development of proportional reasoning: Effect of continuous versus discrete quantities

Y Jeong, SC Levine, J Huttenlocher - Journal of Cognition and …, 2007 - Taylor & Francis
This study examines the development of children's ability to reason about proportions that
involve either discrete entities or continuous amounts. Six-, 8-and 10-year olds were …

Hard lessons: Why rational number arithmetic is so difficult for so many people

RS Siegler, H Lortie-Forgues - Current Directions in …, 2017 - journals.sagepub.com
Fraction and decimal arithmetic pose large difficulties for many children and adults. This is a
serious problem because proficiency with these skills is crucial for learning more advanced …