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 …

About why there is a shift from cardinal to ordinal processing in the association with arithmetic between first and second grade

D Sasanguie, H Vos - Developmental Science, 2018 - Wiley Online Library
Digit comparison is strongly related to individual differences in children's arithmetic ability.
Why this is the case, however, remains unclear to date. Therefore, we investigated the …

The link between deductive reasoning and mathematics

K Morsanyi, T McCormack, E O'Mahony - Thinking & Reasoning, 2018 - Taylor & Francis
Recent studies have shown that deductive reasoning skills (including transitive and
conditional inferences) are related to mathematical abilities. Nevertheless, so far the links …

Extending ideas of numerical order beyond the count-list from kindergarten to first grade

JE Hutchison, D Ansari, S Zheng, S De Jesus, IM Lyons - Cognition, 2022 - Elsevier
Ordinal processing plays a fundamental role in both the representation and manipulation of
symbolic numbers. As such, it is important to understand how children come to develop a …

Developmental dyscalculia is characterized by order processing deficits: Evidence from numerical and non-numerical ordering tasks

K Morsanyi, BMCW van Bers, PA O'Connor… - Developmental …, 2018 - Taylor & Francis
This study tested the hypothesis that individuals with dyscalculia have an order processing
deficit. The ordering measures included both numerical and non-numerical ordering tasks …

The knowledge of the preceding number reveals a mature understanding of the number sequence

F Sella, D Lucangeli - Cognition, 2020 - Elsevier
There is an ongoing debate concerning how numbers acquire numerical meaning. On the
one hand, it has been argued that symbols acquire meaning via a mapping to external …

Exploring the neurobiology of Merge at a basic level: insights from a novel artificial grammar paradigm

Y Liu, C Gao, P Wang, AD Friederici… - Frontiers in …, 2023 - frontiersin.org
Introduction Human language allows us to generate an infinite number of linguistic
expressions. It's proposed that this competence is based on a binary syntactic operation …

The hierarchical relations among mathematical competencies: From fundamental numeracy to complex mathematical skills.

C Xu, S Di Lonardo Burr, JA LeFevre - Canadian Journal of …, 2023 - psycnet.apa.org
Mathematical competencies can be conceptualized as layers of knowledge, with numeracy
skills as the foundational core and more complex mathematical skills as the additional layers …

Separable effects of the approximate number system, symbolic number knowledge, and number ordering ability on early arithmetic development

SA Malone, VE Pritchard, C Hulme - Journal of Experimental Child …, 2021 - Elsevier
There is evidence that early variations in the development of an approximate number system
(ANS) and symbolic number understanding are both influences on the later development of …

Young children's non‐numerical ordering ability at the start of formal education longitudinally predicts their symbolic number skills and academic achievement in …

PA O'Connor, K Morsanyi… - Developmental …, 2018 - Wiley Online Library
Ordinality is a fundamental feature of numbers and recent studies have highlighted the role
that number ordering abilities play in mathematical development (eg, Lyons et al.,), as well …