Research into mathematics often focuses on basic numerical and spatial intuitions, and one key property of numbers: their magnitude. The fact that mathematics is a system of complex relationships that invokes reasoning usually receives less attention. The purpose of this special issue is to highlight the intricate connections between reasoning and mathematics, and to use insights from the reasoning literature to obtain a more complete understanding of the processes that underlie mathematical cognition. The topics that are discussed range from the (...) basic heuristics and biases to the various ways in which complex, effortful reasoning contributes to mathematical cognition, while also considering the role of individual differences in mathematics performance. These investigations are not only important at a theoretical level, but they also have broad and important practical implications, including the possibility to improve classroom practices and educational outcomes, to facilitate people's decision-making, as well as the clear and accessible communication of numerical information. (shrink)

Matching bias refers to the non-normative performance that occurs when elements mentioned in a rule do not correspond with those in a test item. One aim of the present work is to capture matching bias via reaction times as participants carry out truth-table evaluation tasks. Experiment 1 requires participants to verify conditional rules, and Experiment 2 to falsify them as the paradigm employs four types of conditional sentences that systematically rotate negatives in the antecedent and consequent; and presents predominantly cases (...) having true antecedents. These experiments reveal that mismatching is linked to higher rates of incorrect responses and slower evaluation times. A second aim is to investigate the way not is processed. We compare a narrow view of negations, which argues that negation only denies information, to a search for alternatives view, which says that negations function to prime appropriate alternatives. Findings from both experiments support a narrow reading view. (shrink)

Lest the conjunction seduce readers into supposing that the two are of a piece, we point out that analyses made at the superset level concerning intelligence do not readily align with or outperform the scientific advances made via investigations of reasoning, which at best can be viewed as a subset of intelligent behaviour.