Embodied geometric reasoning: Dynamic gestures during intuition, insight, and proof.

MJ Nathan, KE Schenck, R Vinsonhaler… - Journal of …, 2021 - psycnet.apa.org
processes and cognitive processes that can advance our understanding of mathematical
cognition and math … Consequently, we must be cautious in drawing any causal inferences

Arithmetic word problem solving: The role of prior knowledge

C Thevenot - … complex arithmetic skills and higher-order mathematics …, 2017 - Elsevier
arithmetic word problems and other mathematical problems. At other times, these everyday
inferences … We have seen so far that naïve representations about mathematical concepts and …

A critical analysis of design, facts, bias and inference in the approximate number system training literature: A systematic review

D Szűcs, T Myers - Trends in Neuroscience and Education, 2017 - Elsevier
… of transferring improvements to symbolic arithmetic. Methods: We critically evaluated all …
First, this claim seems somewhat of an oxymoron: if ANS is a relatively stable representation

Abstract representations of events arise from mental errors in learning and memory

CW Lynn, AE Kahn, N Nyema, DS Bassett - Nature communications, 2020 - nature.com
… Bayesian inference, we derive a maximum entropy model of people’s internal representations
… We emphasize that this mathematical form for P(Δt) followed directly from our free energy …

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

A Dowker - 2019 - taylorfrancis.com
… foundations of mathematical abilities. Drawing on developmental, educational, cognitive and
… be essential reading for all researchers of mathematical cognition. It will also be of interest …

Cognitive predictors of calculations and number line estimation with whole numbers and fractions among at-risk students.

JM Namkung, LS Fuchs - Journal of Educational Psychology, 2016 - psycnet.apa.org
mathematical skills relies on the same or distinct cognitive … Students infer the connection
between the given number and … between the arithmetic fact and phonological representations of …

Considerations for using mathematical learning progressions to design diagnostic assessments

LR Ketterlin-Geller, P Shivraj, D Basaraba… - Measurement …, 2019 - Taylor & Francis
performance. We propose test design considerations that may support these diagnostic
inferences… , we discuss the progression focused on representations of positive rational numbers, …

Game-based multimodal representations and mathematical problem solving

F Ke, K M. Clark - International Journal of Science and Mathematics …, 2020 - Springer
… , multimodal representation of mathematical problems to … ’ practice and performance of math
problem representation and … make inferences about students’ problem representation and …

Contributions of modern network science to the cognitive sciences: Revisiting research spirals of representation and process

N Castro, CSQ Siew - Proceedings of the Royal Society …, 2020 - royalsocietypublishing.org
… the mathematical framework and methodological tools for psychologists to (i) represent … do
not easily connect to cognitive processes of retrieval, learning and inference. Recent research …

The link between deductive reasoning and mathematics

K Morsanyi, T McCormack, E O'Mahony - Thinking & Reasoning, 2018 - Taylor & Francis
inferences and mathematics will be linked because they utilise similar spatial representations
… forms of deductive inference have been found to be related to mathematics skills. However…