Spatial inference without a cognitive map: the role of higher‐order path integration

Y Bouchekioua, AP Blaisdell, Y Kosaki… - Biological …, 2021 - Wiley Online Library
… thought to reflect a cognitive mapping process. A cognitive map is a representation of a set
… first-order derived vector computed by vector arithmetic between direct vectors; dashed black …

Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data

B De Smedt, W Fias, IM Lyons - Neuropsychologia, 2019 - Elsevier
… For these reasons, and to protect against reverse inference, we focus on overall patterns …
arithmetic. Our results provide clear evidence in favor of a representation-based over a process-…

Component processes in arithmetic word-problem solving and their correlates.

TTY Wong, CSH Ho - Journal of Educational Psychology, 2017 - psycnet.apa.org
… accuracy of the two component tasks in this study), inferences can be made about the
relevant component processes (ie, construction of mental representation and computation). …

Meta-analysis of the effect of natural frequencies on Bayesian reasoning.

M McDowell, P Jacobs - Psychological bulletin, 2017 - psycnet.apa.org
… boost probabilistic inferences but to what extent and how high can performance be bolstered…
be made transparent in a representation, the arithmetic operations that follow are easier to …

Language and thought are not the same thing: evidence from neuroimaging and neurological patients

E Fedorenko, R Varley - Annals of the New York Academy of …, 2016 - Wiley Online Library
cognitive abilities that are not present in animals (in anything like their human form), from
arithmetic to music to the ability to infer … a critical component of our representations of others’ …

Parsing the notion of algebraic thinking within a cognitive perspective

M Chimoni, D Pitta-Pantazi - Educational Psychology, 2017 - Taylor & Francis
… Thus, this system involves symbolic representations and the four arithmetic operations and
… problem, identify its mathematical content and construct plausible inferences. This result …

Basic and advanced numerical performances relate to mathematical expertise but are fully mediated by visuospatial skills.

F Sella, E Sader, S Lolliot… - … , Memory, and Cognition, 2016 - psycnet.apa.org
… depends specifically on basic numerical representations. In this study mathematicians and
… provide a causal inference of the role of basic numerical skills in mathematical expertise, …

Working memory, attention, and salience in active inference

T Parr, KJ Friston - Scientific reports, 2017 - nature.com
processes implicit in mathematical descriptions of brain function. Here, we consider attention
and salience from the perspective offered by active inference. … of a representation of the first …

The link between transitive reasoning and mathematics achievement in preadolescence: the role of relational processing and deductive reasoning

TTY Wong, K Morsanyi - Thinking & Reasoning, 2023 - Taylor & Francis
… the representations underlying transitive inferences and the mental representations of …
exploring the relations between transitive inferences and mathematics performance: the first set …

Toward a theoretical account of strategy use and sense-making in mathematics problem solving

HJM Tabachneck, KR Koedinger… - … of the cognitive science …, 2019 - taylorfrancis.com
… verbal problem statement is translated into a diagrammatic representation. Transformations
are performed on the diagram, including annotations and diagram supported inferences. …