PURPOSE The purpose was to determine the number of semantic neighbors, namely, semantic set size, for 88 nonobjects (J. F. Kroll & M. C. Potter, 1984) and determine how semantic set size related to other measures and age. METHOD Data were collected from 82 adults and 92 preschool children in a discrete association task. The nonobjects were presented via computer, and participants reported the...

In the present article we observe the significations and the dimensions of interaction between instruments and performers in musical performance. This will lead us, firstly, to consider interaction as a phenomenon non-exclusively correlated with the use of numeric technologies. Then, still within the realm of interaction, we describe some of the transmutations introduced by digital music instru...

Non-linear dose response relationships pose statistical challenges for their discovery. Even when an initial linear approximation is followed by other approaches, the results may be misleading and, possibly, preclude altogether the discovery of the nonlinear relationship under investigation. We review a variety of straightforward statistical approaches for detecting nonlinear relationships and ...

Children's ability to place fractions on a number line strongly correlates with math achievement. But does the number line play a causal role in fraction learning or does it simply index more advanced fraction knowledge? The number line may be a particularly effective representation for fraction learning because its properties align with the desired mental representation and take advantage of p...

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Mathematical formalism is the view that numbers are “signs” and arithmetic like a game played with such signs. Frege’s colleague Thomae defended using an analogy chess, critique of this has had major influence on discussions in analytic philosophy about signs, rules, meaning, mathematics. Here I offer new interpretation as by his predecessors, paying close attention to mathematical details hist...

Objectives: The aim of the course is to introduce students to the field of intuitive mathematics. In particular, students will learn about natural mathematical skills, primarily in humans, and the evidence that illuminates them. Students will also be introduced to the idea that our mathematical ability is part of our universal human nature, and a product of evolution by natural selection. Stude...

Written mathematical notation conveys, in a compact visual form, the nested functional relations among abstract concepts such as operators, numbers or sets. Is the comprehension of mathematical expressions derived from the human capacity for processing the recursive structure of language? Or does algebraic processing rely only on a language-independent network, jointly involving the visual syst...