More than the sum of its parts: Exploring the development of ratio magnitude versus simple magnitude perception

Y Park, AA Viegut, PG Matthews - Developmental Science, 2021 - Wiley Online Library
Humans perceptually extract quantity information from our environments, be it from simple
stimuli in isolation, or from relational magnitudes formed by taking ratios of pairs of simple …

Symbolic fractions elicit an analog magnitude representation in school-age children

PB Kalra, JV Binzak, PG Matthews… - Journal of Experimental …, 2020 - Elsevier
A fundamental question about fractions is whether they are grounded in an abstract
nonsymbolic magnitude code similar to that postulated for whole numbers. Mounting …

Spontaneous partitioning and proportion estimation in children's numerical judgments

A Zax, E Slusser, H Barth - Journal of Experimental Child Psychology, 2019 - Elsevier
What do numerical estimates tell us about developing an understanding of number? One
theory is that bounded number line estimation (NLE) tasks reveal a “representational shift” …

Young children intuitively organize numbers on straight, horizontal lines from left to right before the onset of formal instruction

S Nuraydin, J Stricker, M Schneider - Child Development, 2024 - Wiley Online Library
The number line estimation task is frequently used to measure children's numerical
magnitude understanding. It is unclear whether the resulting straight, horizontal, left‐to‐right …

Heuristic strategy of intuitive statistical inferences in 7-to 10-year-old children

S Liu, Y Su, D Suo, J Zhao - Journal of Experimental Child Psychology, 2024 - Elsevier
Intuitive statistical inferences refer to making inferences about uncertain events based on
limited probabilistic information, which is crucial for both human and non-human species' …

[HTML][HTML] Circling around number: People can accurately extract numeric values from circle area ratios

DL Chesney, PG Matthews - Psychonomic Bulletin & Review, 2022 - Springer
It has long been known that people have the ability to estimate numerical quantities without
counting. A standard account is that people develop a sense of the size of symbolic numbers …

Malleability of mappings between Arabic numerals and approximate quantities: Factors underlying individual differences and the relation to math

DJ Yeo, ED Wilkey, GR Price - Acta psychologica, 2019 - Elsevier
Humans tend to be inaccurate and inconsistent when estimating a large number of objects.
Furthermore, we modify our estimates when feedback or a reference array is provided …

[PDF][PDF] Math language matters: mathematical verbal skills, not analog representation of nonsymbolic magnitudes, predict symbolic fraction abilities in primary school …

Y Park, PG Matthews, Y Park - 2024 - osf.io
Fractions knowledge is widely recognized as a key building block for developing
mathematical competence. However, many children face difficulties learning fractions …

Developmental Changes in Nonsymbolic and Symbolic Fractions Processing: A Cross-Sectional fMRI study

Y Park, P Kalra, J Binzak, PG Matthews, EM Hubbard - 2023 - osf.io
A substantial body of research has found that human and nonhuman animals are capable of
processing the magnitudes of nonsymbolic ratios. Lewis, Mathews and Hubbard (2015) …

Dynamics Versus Development in Numerosity Estimation: A Computational Model Accurately Predicts a Developmental Reversal

D Kim, JE Opfer - Cognitive Science, 2021 - Wiley Online Library
Perceptual judgments result from a dynamic process, but little is known about the dynamics
of number‐line estimation. A recent study proposed a computational model that combined a …