The role of parents' ability mindsets in parent-child interactions during math and reading activities.

Parents can be instrumental in promoting young children's early mathematics and literacy skills. However, differences in parents' beliefs can influence their behavior during parent-child interactions. We examined how parental beliefs about the fixedness of children's math and reading abilities shape their interactions with their 4- and 5-year-old children during an educational activity. Parental beliefs about children's abilities were manipulated using "articles" indicating that academic ability is fixed in one domain (e.g., math) but malleable in another (e.g., reading). We then investigated differences in parental unconstructive (performance-oriented and controlling) and constructive (mastery-oriented and autonomy-supportive) involvement across conditions. We also examined whether parent behavior differed depending on the type of educational material parents were told the activity tapped into. The results showed that parents who were induced to have a fixed mindset about reading took full control of the reading activity more often than those who were induced to have a growth mindset about reading, but not math. Parents did not differ in constructive involvement between mindset induction conditions in either domain. We also found that parent autonomy behavior in math differed depending on parents' general theory of intelligence beliefs. Overall, we found some evidence that parents' beliefs about the malleability of their children's ability in a specific domain affected their behaviors in that domain.

Gender and circadian preferences influence emotions and motivation in secondary mathematics classrooms.

Many studies have reported poor school achievement in evening persons and general circadian fluctuations in cognition. The aim of this study was to analyze circadian fluctuations in a cross-sectional design and examine the effects of chronotype on situational emotions and intrinsic motivation. A cross-sectional survey study was conducted in three Turkish secondary schools with a total sample of 599 students (283 females and 316 males). Data were collected at the end of specific math lessons of the same grade level and content, using a form combining three scales. We found no gender-related differences in intrinsic motivation, while there were some differences in situational motivation. In math classes, female students exhibited higher level of interest, while boys scored higher on boredom. In addition, students who scored high on morning affect reported higher levels of interest, well-being, and less boredom. Students with higher stability (and lower fluctuations in mood and cognition during the day) reported a higher degree of enjoyment, perceived competence, perceived choice, and less pressure/tension in their math lessons. A positive association was observed between distinctness, interest, and well-being, while negative correlations existed between distinctness and boredom. This suggests that students with higher diurnal stability reported a higher level of interest, well-being, and a lower level of boredom. Additionally, the results of the analyses showed that morningness, distinctness, and eveningness were significant predictors of intrinsic motivation. Conversely, gender, time of application, morningness, and distinctness emerged as predictors for situational emotions in mathematics classes.

Mathematics anxiety and math achievement in primary school children: Testing different theoretical accounts.

Some students suffer from math anxiety and experience negative emotions in mathematics education. Children's math anxiety is negatively related to their math achievement, suggesting that math anxiety puts their math learning at risk. Several theoretical accounts have been proposed that help to explain this association between math anxiety and achievement. In the current study, we aimed to test predictions of two prominent theories, namely the disruption account and the reduced competency account, using a comprehensive and unifying approach. A sample of 6- to 8-year-olds (N = 163) answered a math anxiety questionnaire, solved a spatial task (mental rotation), and solved several arithmetic problems. After each arithmetic problem, they were asked how they solved the problem. Strategies were then classified into counting and higher-level mental strategies (including decomposition and retrieval), with higher-level strategies loading strongly on working memory resources. Analyses revealed a negative, albeit small, association between children's math anxiety and accuracy in solving arithmetic problems. In line with the disruption account, children's frequency of using higher-level mental strategies mediated this relation between math anxiety and arithmetic performance. Moreover, our results support the reduced competency account given that arithmetic performance was related to math anxiety, whereas mental rotation was only indirectly related to math anxiety. Overall, our findings corroborate both accounts, lending further support to the notion that these accounts might not be mutually exclusive. Our findings imply that interventions might be most effective when focusing on emotion regulation strategies and improving mathematical and spatial performance.

Add, subtract and multiply: Meta-analyses of brain correlates of arithmetic operations in children and adults.

Mathematical operations are cognitive actions we take to calculate relations among numbers. Arithmetic operations, addition, subtraction, multiplication, and division are elemental in education. Addition is the first one taught in school and is most popular in functional magnetic resonance imaging (fMRI) studies. Division, typically taught last is least studied with fMRI. fMRI meta-analyses show that arithmetic operations activate brain areas in parietal, cingulate and insular cortices for children and adults. Critically, no meta-analysis examines concordance across brain correlates of separate arithmetic operations in children and adults. We review and examine using quantitative meta-analyses data from fMRI articles that report brain coordinates separately for addition, subtraction, multiplication, and division in children and adults. Results show that arithmetic operations elicit common areas of concordance in fronto-parietal and cingulo-opercular networks in adults and children. Between operations differences are observed primarily for adults. Interestingly, higher within-group concordance, expressed in activation likelihood estimates, is found in brain areas associated with the cingulo-opercular network rather than the fronto-parietal network in children, areas also common between adults and children. Findings are discussed in relation to constructivist cognitive theory and practical directions for future research.

A new ontology for numerical cognition: Integrating evolutionary, embodied, and data informatics approaches.

Numerical cognition is a field that investigates the sociocultural, developmental, cognitive, and biological aspects of mathematical abilities. Recent findings in cognitive neuroscience suggest that cognitive skills are facilitated by distributed, transient, and dynamic networks in the brain, rather than isolated functional modules. Further, research on the bodily and evolutionary bases of cognition reveals that our cognitive skills harness capacities originally evolved for action and that cognition is best understood in conjunction with perceptuomotor capacities. Despite these insights, neural models of numerical cognition struggle to capture the relation between mathematical skills and perceptuomotor systems. One front to addressing this issue is to identify building block sensorimotor processes (BBPs) in the brain that support numerical skills and develop a new ontology connecting the sensorimotor system with mathematical cognition. BBPs here are identified as sensorimotor functions, associated with distributed networks in the brain, and are consistently identified as supporting different cognitive abilities. BBPs can be identified with new approaches to neuroimaging; by examining an array of sensorimotor and cognitive tasks in experimental designs, employing data-driven informatics approaches to identify sensorimotor networks supporting cognitive processes, and interpreting the results considering the evolutionary and bodily foundations of mathematical abilities. New empirical insights on the BBPs can eventually lead to a revamped embodied cognitive ontology in numerical cognition. Among other mathematical skills, numerical magnitude processing and its sensorimotor origins are discussed to substantiate the arguments presented. Additionally, an fMRI study design is provided to illustrate the application of the arguments presented in empirical research.

The Calculating Brain.

The human brain possesses neural networks and mechanisms enabling the representation of numbers, basic arithmetic operations, and mathematical reasoning. Without the ability to represent numerical quantity and perform calculations, our scientifically and technically advanced culture would not exist. However, the origins of numerical abilities are grounded in an intuitive understanding of quantity deeply rooted in biology. Nevertheless, more advanced symbolic arithmetic skills necessitate a cultural background with formal mathematical education. In the past two decades, cognitive neuroscience has seen significant progress in understanding the workings of the calculating brain through various methods and model systems. This review begins by exploring the mental and neuronal representations of non-symbolic numerical quantity, then progresses to symbolic representations acquired in childhood. During arithmetic operations (addition, subtraction, multiplication, and division), these representations are processed and transformed according to arithmetic rules and principles, leveraging different mental strategies and types of arithmetic knowledge that can be dissociated in the brain. While it was once believed that number processing and calculation originated from the language faculty, it is now evident that mathematical and linguistic abilities are primarily processed independently in the brain. Understanding how the healthy brain processes numerical information is crucial for gaining insights into debilitating numerical disorders, including acquired conditions like acalculia and learning-related calculation disorders such as developmental dyscalculia.

Counting on Change: Conquering Challenges in Teaching Pharmaceutical Calculations.

All pharmacists are expected to accurately perform pharmaceutical calculations to ensure patient safety. In recent years, there have been trends in declining performance on the North American Pharmacist Licensure Examination related to calculations. Understanding the cause of this decline and determining methods to correct underlying issues could benefit pharmacy administration, faculty, students, and patients. The aims of this commentary are to present the factors impacting the students' pharmaceutical calculations abilities, discuss the consequences of declining math skills, and provide a call to action for scholarship of teaching and learning pertaining to calculations, as well as increased administrative support to rectify this challenge.

The bias and precision of reporting the average age of human participants.

Most research papers in psychology study the behaviour of a sample of participants. To characterise this sample, authors report various characteristics, frequently including the mean age and the associated standard deviation. However, based on reports from authors who publish in Acta Psychologica and from respondents on X/Twitter, the present paper shows that some authors use rounded-down ages whereas others don't, which lead to an uncertainty of 0.5 year in the average age. The results furthermore show that the authors tend to report the average age with two decimals precision, irrespective of the uncertainty of this average. I recommend that publications should explicitly mention how the average age is determined and report its value using a number of decimals that reflects its uncertainty.

Multiscale homogenization for dual porosity time-dependent Darcy-Brinkman/Darcy coupling and its application to the lymph node.

We study the coupling between time-dependent Darcy-Brinkman and the Darcy equations at the microscale subjected to inhomogeneous body forces and initial conditions to describe a double porosity problem. We derive the homogenized governing equations for this problem using the asymptotic homogenization technique, and as macroscopic results, we obtain a coupling between two Darcy equations, one of which with memory effects, with mass exchange between phases. The memory effects are a consequence of considering the time dependence in the Darcy-Brinkman equation, and they allow us to study in more detail the role of time in the problem under consideration. After the formulation of the model, we solve it in a simplified setting and we use it to describe the movement of fluid within a vascularized lymph node.

Q methodology as an integrative approach: bridging quantitative and qualitative insights in a mixed methods study on mathematics teachers' beliefs.

Introduction: This study explores the beliefs of pre-service mathematics teachers regarding the teaching and learning of mathematics. Methods: We employed a mixed methods approach, combining quantitative Likert-scale surveys and Q methodology, an integrative quantitative and qualitative approach. A sample of 33 pre-service teachers participated in the study. Initially, Likert-scale surveys were used to ascertain general trends in belief orientations. Subsequently, the same participants engaged in a Q sort exercise, which allowed for a nuanced exploration of individual belief systems by prioritizing the same survey statements within a forced-choice grid. Qualitative interviews further enriched these findings. Results: Q methodology analysis identified distinct belief profiles, characterized by their prioritization of specific educational practices and the contextual and subjective interpretations that underpin these preferences. The qualitative interviews provided deeper insight into the reasoning behind participants' choices in the Q sort, illustrating the complex, sometimes contradictory nature of personally held beliefs that traditional Likert-scale approaches may obscure. Discussion: Our results underscore the utility of combining Q methodology with conventional teacher belief survey techniques to achieve a more holistic understanding of pre-service teachers' beliefs. This approach reveals the complexity within individual belief systems and highlights the potential for mixed methods research to refine the measurement and interpretation of psychological constructs in educational settings.

How teachers make connections among ideas in mathematics instruction.

Conceptual understanding involves understanding connections among ideas within a domain. In this chapter, we consider how teachers support students in learning about connections among ideas in mathematics. We review research focusing on teachers' connection making in mathematics classrooms, and we consider several dimensions of variability in that connection making. Across three corpora of lessons that varied in students' grade levels (first grade to college), cultural settings (United States and China), and mathematics content, we found that all teachers produced linking episodes, but the frequency with which they did so varied substantially, raising new questions about the sources and consequences of that variability. Teachers of first-grade students in China routinely engaged their students in co-constructing links; teachers of middle schoolers and college students in the United States typically explained links to students. Linking episodes targeted many different types of connections, including connections between representations, connections between principles and exemplars, connections between procedures and concepts, and connections between concepts and real-world instantiations. Across all three corpora, teachers expressed linked ideas multimodally in a majority of linking episodes. Based on the findings, we present several hypotheses about how teacher behaviors may support students' understanding of connections among ideas, and we suggest directions for future work.

Friend influence and susceptibility to influence on emotions towards math: The role of adolescent temperament.

BACKGROUND AND AIMS: Peer relationships during adolescence play an important role in shaping academic outcomes. The present study examined friend influences on emotions towards math, as well as the role of temperament in these influences. SAMPLE: The sample consisted of 350 Finnish students (mean age 13.29 years; 64% girls) who were involved in stable friendship dyads from fall to spring of Grade 7. METHODS: In this two-wave study, information on adolescents' temperament (i.e., negative emotionality, extraversion, effortful control) and on seven emotions towards math (i.e., enjoyment, hope, pride, anger, anxiety, shame, hopelessness, and boredom) was collected during grade 7. The data were analysed using longitudinal actor-partner interdependence models. RESULTS: The results showed that friends resembled each other in all the investigated math-related emotions. Furthermore, over and above these initial similarities, friends mutually influenced each other's math-related enjoyment and anger towards math. Students characterized by higher negative emotionality also influenced their friends with lower levels of negative emotionality towards an increase in math-related anger and a lack of effortful control made adolescents more susceptible to friend influence over math-related shame and anxiety. CONCLUSION: Our findings demonstrate that friends influence each other over time in math-related enjoyment and frustration. Furthermore, high negative emotionality may make adolescents more influential over their friends' math-related anger and a lack of effortful control may make adolescents more susceptible to friend influence over math-related shame and anxiety. Thus, the current findings have implications for how peer relations may impact individual outcomes in mathematics, for better or worse.

Perinatal influences on academic achievement and the developing brain: a scoping systematic review.

Introduction and methods: In this PRISMA-compliant systematic review, we identify and synthesize the findings of research in which neuroimaging and assessments of achievement have been used to examine the relationships among aspects of developmental programming, neurodevelopment, and achievement in reading and mathematics. Results: Forty-seven studies met inclusion criteria. The majority examined the impact of prematurity (n = 32) and prenatal alcohol exposure (n = 13). Several prematurity studies reported a positive correlation between white-matter integrity of callosal fibers and executive functioning and/or achievement, and white matter properties were consistently associated with cognitive and academic performance in preterm and full-term children. Volumetric studies reported positive associations between academic and cognitive abilities and white and gray matter volume in regions such as the insula, putamen, and prefrontal lobes. Functional MRI studies demonstrated increased right-hemispheric language processing among preterm children. Altered activation of the frontoparietal network related to numerical abilities was also reported. Prenatal alcohol exposure studies reported alterations in white matter microstructure linked to deficits in cognitive functioning and academic achievement, including mathematics, reading, and vocabulary skills. Volumetric studies reported reductions in cerebral, cerebellar, and subcortical gray matter volumes associated with decreased scores on measures of executive functioning, attention, working memory, and academic performance. Functional MRI studies demonstrated broad, diffuse activation, reduced activation in canonical regions, and increased activation in non-canonical regions during numeric tasks. Discussion: A preponderance of studies linked prematurity and prenatal alcohol exposure to altered neurodevelopmental processes and suboptimal academic achievement. Limitations and recommendations for future research are discussed. Systematic review registration: Identifier: DOI 10.17605/OSF.IO/ZAN67.

Enhancing fraud detection in auto insurance and credit card transactions: a novel approach integrating CNNs and machine learning algorithms.

Fraudulent activities especially in auto insurance and credit card transactions impose significant financial losses on businesses and individuals. To overcome this issue, we propose a novel approach for fraud detection, combining convolutional neural networks (CNNs) with support vector machine (SVM), k nearest neighbor (KNN), naive Bayes (NB), and decision tree (DT) algorithms. The core of this methodology lies in utilizing the deep features extracted from the CNNs as inputs to various machine learning models, thus significantly contributing to the enhancement of fraud detection accuracy and efficiency. Our results demonstrate superior performance compared to previous studies, highlighting our model's potential for widespread adoption in combating fraudulent activities.

Learners' Spontaneous Gesture Before a Math Lesson Predicts the Efficacy of Seeing Versus Doing Gesture During the Lesson.

Gestures-hand movements that accompany speech and express ideas-can help children learn how to solve problems, flexibly generalize learning to novel problem-solving contexts, and retain what they have learned. But does it matter who is doing the gesturing? We know that producing gesture leads to better comprehension of a message than watching someone else produce gesture. But we do not know how producing versus observing gesture impacts deeper learning outcomes such as generalization and retention across time. Moreover, not all children benefit equally from gesture instruction, suggesting that there are individual differences that may play a role in who learns from gesture. Here, we consider two factors that might impact whether gesture leads to learning, generalization, and retention after mathematical instruction: (1) whether children see gesture or do gesture and (2) whether a child spontaneously gestures before instruction when explaining their problem-solving reasoning. For children who spontaneously gestured before instruction, both doing and seeing gesture led to better generalization and retention of the knowledge gained than a comparison manipulative action. For children who did not spontaneously gesture before instruction, doing gesture was less effective than the comparison action for learning, generalization, and retention. Importantly, this learning deficit was specific to gesture, as these children did benefit from doing the comparison manipulative action. Our findings are the first evidence that a child's use of a particular representational format for communication (gesture) directly predicts that child's propensity to learn from using the same representational format.

Dataset of Vietnamese preschool teachers' readiness towards teaching mathematics through experiential education.

Experiential education is an approach that promotes initiative and creativity in students. Many preschool education programs in countries around the world are applying this approach to educational innovation. However, teachers' competencies and readiness to implement experiential education are irreplaceable in determining Mathematics activities' frequency and effectiveness. This dataset surveyed 678 preschool teachers across five cities and provinces in Vietnam from 24 Sep 2023 to 22 Dec 2023. The survey sample was randomly selected, representing different regions of Vietnam. The dataset includes six main sections: (i) Demographics; (ii) Teachers' know-how about Mathematics in early years and experiential education; (iii) Teachers' competencies; (iv) Conditions to implement experiential education; (v) School policies; and (vi) Teachers' readiness to implement experiential education. This dataset can be used by educational policy researchers and early childhood education researchers to study experiential educational practices in early childhood education in Southeast Asian countries or regions of Asia.

False Beliefs about Mathematics in Spanish Pre-Service Teachers and Relations with Math Anxiety.

Teachers may hold beliefs about how students learn mathematics and about the subject itself. However, some of these beliefs, often referred to as "math myths", may be oversimplified ideas that appear valid but lack solid scientific evidence. This study was aimed to investigate the prevalence of math myths among Spanish pre-service teachers and compare it with the degree of support for these myths reported in previous studies; investigate the possible underlying structure of a set of false beliefs about math; and determine the relationships of certain math misconceptions with math anxiety. A total of 212 Spanish pre-service teachers were administered questionnaires about math myths and about general and math anxiety. The results showed prevalence patterns of each math misconception similar to those in previous studies. False beliefs about math showed weak or negligible correlations with each other and did not exhibit a discernible underlying structure. Furthermore, math anxiety was related to the belief that some individuals are perceived to possess a "math mind" while others do not. Our results suggest diverse origins for the development of different math myths, rather than the myths being the consequence of a single underlying factor. Finally, the endorsement of certain beliefs about who can do mathematics may contribute to negative emotions towards mathematics.