Three experiments used a paradigm based on Retrieval-Induced Forgetting research to test for the competition from non-useful sources of information in cross-domain analogical transfer. This was accomplished by presenting people with texts introducing multiple candidate solutions prior to attempting the Radiation problem, and later testing memory for the texts. In Experiment 1, viable and unviable candidate solutions that varied in surface and structural similarity were presented in their own story contexts. In Experiments 2 and 3, the viable and unviable solutions were embedded within the same story context. The results suggest that forgetting unviable solutions that share surface-level overlap with the target problem may be less important than suggested by prior work. Instead, greater evidence of forgetting was obtained when unviable solutions were embedded within the same context as viable solutions. These findings suggest that competition from superficially similar, unviable solutions may not be the main obstacle during analogical problem-solving attempts, but rather the main obstacle for transfer may be the selection of relevant solution concepts.

Increasing research efforts are focused on explaining the cognitive bases of creativity. However, it remains unclear when and how cognitive factors such as intelligence and executive function uniquely contribute to performance on creative thinking tasks. Although a relationship between fluid intelligence (Gf) and creative cognition has been well-documented, the underlying mechanism of this relation is unknown. Here, we test one possible mechanism of the Gf-creativity association - attention control (AC) - given AC's strong association with Gf and its theoretical relevance to creative cognition. We also examine the role of mind wandering (i.e., task-unrelated thought), a failure of AC that is potentially beneficial to creativity. Using latent variable and bifactor models, we investigated the unique contributions of AC to divergent thinking - above the influence of Gf - evaluating the specific and general contributions of AC, Gf, and mind wandering to divergent thinking. We found that a general executive factor (i.e., of the common variance to AC, mind wandering, and Gf indicators) significantly predicted divergent thinking originality (beta =.40, p <.001) above and beyond specific Gf and mind wandering factors. Importantly, in the bifactor model, mind wandering was a nonsignificant, negative predictor of divergent thinking performance, and the residual effects of Gf were no longer significant, indicating that the relationship between Gf and divergent thinking is explained by shared variance with a common executive attention factor. This study provides novel evidence suggesting that the relationship between Gf and divergent thinking may be largely driven by the top-down control of attention.

Metaphors are a common way to express creative language, yet the cognitive basis of figurative language production remains poorly understood. Previous studies found that higher creative individuals can better comprehend novel metaphors, potentially due to a more flexible semantic memory network structure conducive to remote conceptual combination. The present study extends this domain to creative metaphor production and examined whether the ability to produce creative metaphors is related to variation in the structure of semantic memory. Participants completed a creative metaphor production task and two verbal fluency tasks. They were divided into two equal groups based on their creative metaphor production score. The semantic networks of these two groups were estimated and analyzed based on their verbal fluency responses using a computational network science approach. Results revealed that the semantic networks of high-metaphor producing individuals were more flexible, clustered, and less rigid than that of the low-metaphor producing individuals. Importantly, these results replicated across both semantic categories. The findings provide the first evidence that a flexible, clustered, and less rigid semantic memory structure relates to people's ability to produce figurative language, extending the growing literature on the role of semantic networks in creativity to the domain of metaphor production.

Research Findings Two hundred and sixty-seven Chilean children from grades 1-3, their fathers and their mothers completed measures of implicit and explicit math-related beliefs (math-gender stereotypes, math self-concepts) and feelings (math anxiety), as well as tests of mathematical achievement. Children, fathers, and mothers exhibited stereotypes that link math with males. More specifically, mothers identified more with language than with math, while fathers and children identified more with math than with language. Path analyses models revealed that children's explicit math self-concepts significantly predicted their actual math achievement. Children's explicit self-concept was, in turn, explained marginally by the mathematical anxiety of their mothers.Practice or Policy: These results contribute to our understanding of the relation between parental and children's beliefs and children's math achievement during early elementary school years. In countries such as Chile, with a significant gender gap in math achievement, these findings may highlight relevant aspects to consider when designing interventions aimed at educational equity and providing equal mathematical learning opportunities to boys and girls.

Background Postsecondary institutions are expected to provide students with skills such as communication that are considered essential for success in school, work, and society. However, faculty are rarely trained to design courses that emphasize complex, cultural skills like communication, highlighting the need for professional development that adopts a sociocultural perspective on skills, teaching and faculty learning. Methods In this paper, we describe a mixed-methods study that aimed to document instructional practice based on decision-making interviews (n=25), classroom observations (n=20) and surveys (n=496) with faculty in two U.S. cities. Techniques used to analyze these data include inductive thematic analysis, social network analysis, and hierarchical linear modeling. Findings Results of the analysis include the identification of key elements of course planning - faculty predispositions, perceived affordances, and instructional goals-which dynamically interact to inform teaching practices. Classroom observations revealed a range of methods from lecturing to classroom debates. Results also highlight three factors that led to teaching decisions: prior experience in industry which sensitized faculty to employer needs, social networks, and student skills. Contributions The data contribute to research on skills-focused instruction, and we conclude the paper with a description of a socioculturally informed faculty development program based on study findings.

Undergraduate mathematics instructors are called by many cur- rent standards to promote prospective teachers’ learning of geometry from a transformation perspective, marking a change from previous standards. The novelty of this situation means it is unclear what is involved in undergraduate learning and teaching of geometry from a transformation perspective. To approach this problem, we illustrate how specific in-class activities and design principles might help prospective teachers make conceptual links between congruence proofs and a transformation approach to geometry. Additionally, to illustrate these activities for instruc- tors, we provide examples of prospective teachers’ work on some of these problems.

Researchers have emphasized the importance of characterizing students' abilities to coordinate changes in covarying quantities. In this paper, we characterize three undergraduate students' coordination of covarying quantities' amounts of change during a teaching experiment. We adopt Piagetian notions of figurative and operative thought to describe the extent their meanings for covariational relationships are constrained to or supported by theirpartitioning activity- the mental and physical actions associated with constructing accruals in quantities' magnitudes. Our analysis suggests that students' construction of amounts of change is constrained by figurative partitioning activity that requires carrying out or emulating particular actions on perceptually available material. In contrast, operative partitioning activity supports the students' transformation and (anticipated) regeneration of partitioning activity in order to conceive equivalent covariational relationships among various situations and representational systems. We conclude by discussing how documenting these distinctive meanings contributes to extant literature on covariational reasoning and, more broadly, the theorization of mathematical concept construction.

Young children are sensitive to both numerical and spatial magnitude cues early in development, but many questions remain about how children's attention to magnitudes relates to their early math achievement. In two studies, we tested three hypotheses related to the flexible attention to magnitudes (FAM) account, which suggests that young children's flexible attention to both numerical and spatial magnitudes is an important predictor of early math success. In Study 1, we recruited 318 preschool-age children (51.5% female; M-age = 54.7 months, SDage = 4.24 months) and assessed them at two time points on a battery of math, executive function, and language measures, including a novel assessment of FAM ability developed for this study. Consistent with our hypotheses, we found that young children had specific difficulty flexibly shifting between numerical and spatial magnitudes, that their FAM ability was related to both their executive function and math skills controlling for covariates, and finally that their FAM ability at the first time point was predictive of their math achievement growth over time controlling for executive function skills and covariates. In Study 2, we recruited 157 preschool-age children (47.4% female; M-age = 53.36 months, SDage = 7.17 months). We replicated the findings of Study 1 and extended them to account for children's non-symbolic numerical magnitude discrimination skills. Implications of the results of these studies for early math activities development are discussed.