… 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 …

… inference posited by Mill, but otherwise, their theory makes a similar claim that arithmetic
works because it corresponds to operations … representations and/or how those representations …

… 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…

… 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 …

… 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 …

… 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. …

… 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, …

… 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 …