… 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 …

… construct an adequate representation of the problem so that they can transform it into an …
is understandable given that both tasks required individuals to infer patterns in a series, and an …

… can encode other processes. Specifically, I describe a mathematical formalism, combinatory
… cannot be studied in isolation—our inferences depend not only on simple perceptual factors…

… Then the meaning of each element of this list and the relevance of the list for the representation
of numbers has to be learned. The latter includes knowing how to infer the meaning of …

… Thus, this system involves symbolic representations and the four arithmetic operations and
… problem, identify its mathematical content and construct plausible inferences. This result …

… than between text and graphics, performance (time on task and … representations in
mathematics learning and assessment, and sheds light on how different kinds of representations …

… in the process of math achievement, we opted to focus on the mentioned cognitive (ie, …
In this way, the questionnaire allowed us to make inferences about the math-related settings …

… cognitive representation. Song and Nakayama (2008), for example, found that in a number
comparison task manual movement trajectories deviated more with larger numerical distance …

… WM capacity, basic quantity representations, attention abilities, and math anxiety on …
Hence, inferences from our findings about the general population can be drawn only to a limited …

… differences when drawing inferences from the scientific literature … affect people's
representations of the mathematics. Finally, … performance and learning at the intersection of …