Why is learning fraction and decimal arithmetic so difficult?

H Lortie-Forgues, J Tian, RS Siegler - Developmental Review, 2015 - Elsevier
Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability
to succeed in many professions. Unfortunately, these capabilities pose large difficulties for …

Associations of number line estimation with mathematical competence: A meta‐analysis

M Schneider, S Merz, J Stricker, B De Smedt… - Child …, 2018 - Wiley Online Library
The number line estimation task is widely used to investigate mathematical learning and
development. The present meta‐analysis statistically synthesized the extensive evidence on …

Relations of different types of numerical magnitude representations to each other and to mathematics achievement

LK Fazio, DH Bailey, CA Thompson… - Journal of experimental …, 2014 - Elsevier
We examined relations between symbolic and non-symbolic numerical magnitude
representations, between whole number and fraction representations, and between these …

Early predictors of high school mathematics achievement

RS Siegler, GJ Duncan, PE Davis-Kean… - Psychological …, 2012 - journals.sagepub.com
Identifying the types of mathematics content knowledge that are most predictive of students'
long-term learning is essential for improving both theories of mathematical development and …

An integrated theory of whole number and fractions development

RS Siegler, CA Thompson, M Schneider - Cognitive psychology, 2011 - Elsevier
This article proposes an integrated theory of acquisition of knowledge about whole numbers
and fractions. Although whole numbers and fractions differ in many ways that influence their …

Magnitude knowledge: The common core of numerical development

RS Siegler - Developmental science, 2016 - Wiley Online Library
The integrated theory of numerical development posits that a central theme of numerical
development from infancy to adulthood is progressive broadening of the types and ranges of …

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 …

An integrative theory of numerical development

RS Siegler, H Lortie‐Forgues - Child Development …, 2014 - Wiley Online Library
Understanding of numerical development is growing rapidly, but the volume and diversity of
findings can make it difficult to perceive any coherence in the process. The integrative theory …

[图书][B] Individual differences in arithmetic: Implications for psychology, neuroscience and education

A Dowker - 2019 - taylorfrancis.com
Arithmetic is still hugely important in many aspects of modern life, but our personal attitudes
to it differ greatly. Many people struggle with the basic principles of arithmetic, whilst others …

Numerical development

RS Siegler, DW Braithwaite - Annual review of psychology, 2017 - annualreviews.org
In this review, we attempt to integrate two crucial aspects of numerical development:
learning the magnitudes of individual numbers and learning arithmetic. Numerical …