Over the last decades, understanding the sources of the difficulty of Bayesian problem solving has been an important research goal, with the effects of numerical format and individual numeracy being widely studied. However, the focus on the comprehension of probability numbers has overshadowed the relational reasoning demand of the Bayesian task. This is particularly the case when the statistical data are verbally described since the requested quantitative relation (posterior ratio) is misaligned with the presented ones (prior and likelihood ratios). In (...) this regard, here I develop the proposal that research on Bayesian reasoning might improve by considering the notational alignment framework of mathematical problem-solving. Specifically, this framework can help to understand the sources of the main difficulties underlying Bayesian inferences based on verbal descriptions. In essence, the present proposal supports the general claim in math education regarding the need to foster relational comprehension to avoid misleading alignments and improve problem solving. (shrink)

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)

Cognitive reflection is recognized as an important skill, which is necessary for making advantageous decisions. Even though gender differences in the Cognitive Reflection test appear to be robust across multiple studies, little research has examined the source of the gender gap in performance. In Study 1, we tested the invariance of the scale across genders. In Study 2, we investigated the role of math anxiety, mathematical reasoning, and gender in CRT performance. The results attested the measurement equivalence of the Cognitive (...) Reflection Test – Long, when administered to male and female students. Additionally, the results of the mediation analysis showed an indirect effect of gender on CRT-L performance through mathematical reasoning and math anxiety. The direct effect of gender was no longer statistically significant after accounting for the other variables. The current findings suggest that cognitive reflection is affected by numerical skills and related feelings. (shrink)

The under-representation of women in Science, Technology, Engineering, and Mathematics is ubiquitous and understanding the roots of this phenomenon is mandatory to guarantee social equality and economic growth. In the present study, we investigated the contribution of non-cognitive factors that usually show higher levels in females, such as math anxiety and neuroticism personality trait, to numeracy competence, a core component in STEM studies. A sample of STEM undergraduate students, balanced for gender and Intelligent Quotient, completed online self-report questionnaires and a (...) numeracy cognitive assessment test. Results show that females scored lower in the numeracy test, and higher in the non-cognitive measures. Moreover, compared to males’, females’ numeracy scores were more strongly influenced by MA and neuroticism. We also tested whether MA association to numeracy is mediated by neuroticism, and whether this mediation is characterized by gender differences. While we failed to detect a significant mediation of neuroticism in the association between MA and numeracy overall, when gender was added as a moderator in this association, neuroticism turned out to be significant for females only. Our findings revealed that non-cognitive factors differently supported numeracy in females and males in STEM programs. (shrink)

The logical intuition hypothesis proposes a difference in the strength between logical and heuristic intuitions. The labels of logical and heuristic intuitions are exclusive to conventional reasoning research. This paper reports the result of testing intuition strength using the dot-probe methodology in a novel multiplication paradigm. Here, “logical intuition” and “heuristic intuition” were relabeled as “weaker intuition” (-1 × 5 = 5) and “stronger intuition” (1 × 5 = 5), respectively, to assess the assumptions about the difference in the strength (...) of “Chinese multiplication mnemonics” intuitions. The dot-probe paradigm was utilized in the following experiments to measure attentional bias. This was assessed by calculating the difference in reaction time between incongruent (the target location is opposite to the probe location) and congruent (the target location is the same as the probe location) conditions. Experiment 1 found attentional bias directed attention to the correct answer for both weaker and stronger intuitions. Experiment 2 replicated and extended Experiment 1 with a secondary task to manipulate high and low cognitive loads. Consequently, stronger intuitions were unaffected by cognitive load and participants were biased toward the correct answer, whereas attentional bias for weaker intuitions only occurred in low load conditions. These results revealed that although both intuitions can guide attention, stronger intuition may guide attention bias in a high-load situation due to its robust automation. Our findings extend the logical intuition hypothesis that proposes a difference in the automated strengths of intuitions to mathematical and analytic thinking. (shrink)