The relation between spatial skills and mathematical abilities: The mediating role of mental number line representation
… Spatial skills are positively related to mathematical abilities, yet the mechanism of such …
representation in the relations between spatial skills and performance in various mathematical …
representation in the relations between spatial skills and performance in various mathematical …
[HTML][HTML] Changing representation in contextual mathematical problems from descriptive to depictive: The effect on students' performance
K Hoogland, J de Koning, A Bakker, BEU Pepin… - Studies in Educational …, 2018 - Elsevier
… From our power analysis, therefore, we aimed at a number of participants well over 5000, so
that inferences about a small effect could be drawn (Ellis, 2010). This is elaborated on in the …
that inferences about a small effect could be drawn (Ellis, 2010). This is elaborated on in the …
A roadmap for understanding memory: Decomposing cognitive processes into operations and representations
… cognitive process can mean different things to different researchers. We define a cognitive
process … -identifiable cognitive event; it always involves some cognitive or neural operation, …
process … -identifiable cognitive event; it always involves some cognitive or neural operation, …
Neuronal foundations of human numerical representations
E Eger - Progress in brain research, 2016 - Elsevier
… arithmetic tasks (bottom), in that case color coding separately different types of arithmetic
operations… -related memory phenomenon to enable inferences about neuronal populations with …
operations… -related memory phenomenon to enable inferences about neuronal populations with …
Cognitive precursors of word reading versus arithmetic competencies in young Chinese children
… highlight the similarity and difference between the two domains in the learning process. At
… among visual, phonological, and semantic representations of words and numerals. On the …
… among visual, phonological, and semantic representations of words and numerals. On the …
Conceptual spaces for cognitive architectures: A lingua franca for different levels of representation
… representations called mental models, rather than the manipulation of sentence-like
representations … -Laird, subjects, when performing a deductive inference, first create and merge an …
representations … -Laird, subjects, when performing a deductive inference, first create and merge an …
Towards a category theory approach to analogy: Analyzing re-representation and acquisition of numerical knowledge
JA Navarrete, P Dartnell - PLoS computational biology, 2017 - journals.plos.org
… In the present study, we introduce a simple mathematical model of analogy (MMA) and …
conceptualization of this process of re-representation mediated by an inference calculus. To this …
conceptualization of this process of re-representation mediated by an inference calculus. To this …
Understanding fractions: Integrating results from mathematics education, cognitive psychology, and neuroscience
A Obersteiner, T Dresler, SM Bieck… - … and mathematics …, 2019 - Springer
… The symbolic representation of natural numbers complies to the base-10 place-value …
Reasoning about fraction magnitude requires inferences about the ratio between numerators and …
Reasoning about fraction magnitude requires inferences about the ratio between numerators and …
Toward a cognitive theory of instruction
LB Resnick - Learning and motivation in the classroom, 2017 - taylorfrancis.com
… a fully coherent representation of it-the reader must infer a … evidence for inventions of
mathematical procedures, and the … short of permitting strong inferences about the cognitive state of …
mathematical procedures, and the … short of permitting strong inferences about the cognitive state of …
Deep learning inference on embedded devices: Fixed-point vs posit
SHF Langroudi, T Pandit… - … Learning and Cognitive …, 2018 - ieeexplore.ieee.org
… arithmetic and specifically low precision fixed-point number systems have become the standard
for performing deep learning inference. … low precision data representation using the posit …
for performing deep learning inference. … low precision data representation using the posit …