From “sense of number” to “sense of magnitude”: The role of continuous magnitudes in numerical cognition
In this review, we are pitting two theories against each other: the more accepted theory, the
number sense theory, suggesting that a sense of number is innate and non-symbolic …
number sense theory, suggesting that a sense of number is innate and non-symbolic …
Associations of number line estimation with mathematical competence: A meta‐analysis
The number line estimation task is widely used to investigate mathematical learning and
development. The present meta‐analysis statistically synthesized the extensive evidence on …
development. The present meta‐analysis statistically synthesized the extensive evidence on …
Inclusion Versus Specialized Intervention for Very-Low-Performing Students: What Does Access Mean in an Era of Academic Challenge?
The purpose of this analysis was to examine achievement gaps on fractions for very-low-
performing students as a function of whether they receive inclusive fraction instruction or …
performing students as a function of whether they receive inclusive fraction instruction or …
Developmental growth trajectories in understanding of fraction magnitude from fourth through sixth grade.
Abstract Development of fraction number line estimation was assessed longitudinally over 5
time points between 4th and 6th grades. Although students showed positive linear growth …
time points between 4th and 6th grades. Although students showed positive linear growth …
A unified model of arithmetic with whole numbers, fractions, and decimals.
DW Braithwaite, RS Siegler - Psychological Review, 2024 - psycnet.apa.org
This article describes UMA (Unified Model of Arithmetic), a theory of children's arithmetic
implemented as a computational model. UMA builds on FARRA (Fraction Arithmetic Reflects …
implemented as a computational model. UMA builds on FARRA (Fraction Arithmetic Reflects …
The effects of early numeracy interventions for students in preschool and early elementary: A meta-analysis.
G Nelson, KL McMaster - Journal of Educational Psychology, 2019 - psycnet.apa.org
The purpose of this meta-analysis was to examine the effectiveness of early numeracy
interventions for young students, including students with disabilities or those at risk for math …
interventions for young students, including students with disabilities or those at risk for math …
Improving fraction understanding in sixth graders with mathematics difficulties: Effects of a number line approach combined with cognitive learning strategies.
The effectiveness of an experimental middle school fraction intervention was evaluated. The
intervention was centered on the number line and incorporated key principles from the …
intervention was centered on the number line and incorporated key principles from the …
Spatial transformation abilities and their relation to later mathematics performance
A Frick - Psychological Research, 2019 - Springer
Using a longitudinal approach, this study investigated the relational structure of different
spatial transformation skills at kindergarten age, and how these spatial skills relate to …
spatial transformation skills at kindergarten age, and how these spatial skills relate to …
Delaware longitudinal study of fraction learning: Implications for helping children with mathematics difficulties
The goal of the present article is to synthesize findings to date from the Delaware
Longitudinal Study of Fraction Learning. The study followed a large cohort of children (N …
Longitudinal Study of Fraction Learning. The study followed a large cohort of children (N …
Understanding the complexities of mathematical cognition: A multi-level framework
C Gilmore - Quarterly Journal of Experimental Psychology, 2023 - journals.sagepub.com
Mathematics skills are associated with future employment, well-being, and quality of life.
However, many adults and children fail to learn the mathematics skills they require. To …
However, many adults and children fail to learn the mathematics skills they require. To …