… 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 …

… meaning of different symbolic representations of addition and … designing experiments on
these mathematical processes. The … inferences into account, one has to develop a mathematical …

… , a severe mathematical learning disorder 4 . In the last decades, cognitive neuroscientists
have … knowledge and representations about the structure and meaning of numbers) and …

… 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…

… theories of arithmetic cognition and dual-task performance by … the underlying cognitive
processes involved in arithmetic. The aim … used to draw inferences about cognitive processing, but …

… Mathematical learning theory, in particular the simple linear and the N-element pattern … If
judgments are orderly, we can infer something about structural properties that determine them. …

… Jill Larkin and Herbert Simon famously argued that diagrammatic representations leverage
our spatial cognitive capacities by using features and relationships in the diagram to make …

… an inference or judgment by the perceiver can become a part of the cognitive representation
… In what follows, I attempt to describe a process by which such a cognitive representation of …

… inferences made in order to achieve a coherent structure. However, the inferences made in
the context of arithmetic … Rather than basing instruction on relatively abstract representations …

… ), one can infer … math skills should be related to factors attenuating the SNARC effect, such
as higher flexibility or abstractness of representation, more efficient cognitive control processes…