[HTML][HTML] Arithmetic word problems revisited: Cognitive processes and academic performance in secondary school
G Duque de Blas, I Gómez-Veiga… - Education …, 2021 - mdpi.com
… It is these adverbs that interrelate the objects of the problem and allow people to infer the …
This inhibition is needed in order to construct a representation that allows the participant to …
This inhibition is needed in order to construct a representation that allows the participant to …
Mathematical representations
GA Goldin - Encyclopedia of mathematics education, 2020 - Springer
… from these, amounts to different approaches, mathematics itself being one obvious choice.
According to one view, mathematics education as a research field belongs to mathematics: at …
According to one view, mathematics education as a research field belongs to mathematics: at …
A classification of cognitive tasks and operations of thought involved in addition and subtraction problems
G Vergnaud - Addition and subtraction, 2020 - taylorfrancis.com
… meaning of different symbolic representations of addition and … designing experiments on
these mathematical processes. The … inferences into account, one has to develop a mathematical …
these mathematical processes. The … inferences into account, one has to develop a mathematical …
[图书][B] An introduction to mathematical cognition
… about the nature of basic numerical representations. Less work has focused on higher levels
of … ability to reject invalid logical inferences predicts proof comprehension and mathematics …
of … ability to reject invalid logical inferences predicts proof comprehension and mathematics …
[HTML][HTML] The interaction of linguistic and arithmetic factors affects adult performance on arithmetic word problems
… arithmetic factors were conceptually linked. Our results highlight that not only the linguistic
and arithmetic … of a word problem, but linguistic and arithmetic factors interact. We discuss the …
and arithmetic … of a word problem, but linguistic and arithmetic factors interact. We discuss the …
The role of gesture in supporting mental representations: The case of mental abacus arithmetic
… cognitive functioning. However, these gestures lack the framing that speech provides, making
it difficult to infer the underlying mental representations … to mental representation in a case …
it difficult to infer the underlying mental representations … to mental representation in a case …
Multiple skills underlie arithmetic performance: A large-scale structural equation modeling analysis
S Ashkenazi, S Silverman - Journal of Numerical Cognition, 2017 - jnc.psychopen.eu
… for learning disability assessment, and therefore, inferences from our findings can be drawn
… variables in numerical cognition literature, such as logarithmic representation in the number …
… variables in numerical cognition literature, such as logarithmic representation in the number …
Distinguishing between cognitive explanations of the problem size effect in mental arithmetic via representational similarity analysis of fMRI data
… 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-…
arithmetic. Our results provide clear evidence in favor of a representation-based over a process-…
[图书][B] Representation in cognitive science
N Shea - 2018 - library.oapen.org
… We manipulate symbols on the page to arrive at a mathematical proof. … representations to
fix content. We saw the idea earlier that the concept dog gets its meaning from the inferences …
fix content. We saw the idea earlier that the concept dog gets its meaning from the inferences …
Cognitive mechanisms in normal and impaired number processing
M McCloskey, A Caramazza - Mathematical disabilities, 2018 - taylorfrancis.com
… these inferences, we must consider the patients' performance … representations, and that
the process of reading a number involves a series of comprehension and production operations …
the process of reading a number involves a series of comprehension and production operations …