Math Ability Research Articles

Profile of MTs Students' Spatial Reasoning in Solving Contextual Problems Based on Mathematical Ability

Spatial reasoning as an important component in students' mathematical thinking and problem solving. How do students think spatially, how is the flow in solving contextual problems, this is spatial reasoning. Spatial reasoning consists of three characteristics, namely perceiving, visual-spatial and transforming. This research is included in descriptive qualitative which aims to describe the spatial reasoning of MTs students in imagining and explaining parts of objects, mentioning and describing parts of objects and changing the shape of objects from the problems given. The subjects in this study were three students from class VIII of MTs Negeri 3 Muara Ampolu Tapanuli Selatan who were taken from each level of mathematical ability, namely high, medium and low abilities after being given an initial math ability test. To find out the profile of students' spatial reasoning in contextual solving, the research subjects were given a spatial reasoning test. The results showed that students with high and moderate mathematical abilities in solving contextual problems that required spatial reasoning had good results. Meanwhile, low-ability students have difficulty in solving contextual problems so that their spatial reasoning has poor results.

Do Executive Dysfunction, Delay Aversion, and Time Perception Deficit Predict ADHD Symptoms and Early Academic Performance in Preschoolers.

Children with attention deficit/hyperactivity disorder (ADHD) are commonly observed to have learning difficulties. This study examined how three neuropsychological constructs—executive dysfunction, delay aversion, and time perception—were associated with ADHD symptoms and early academic performance in preschoolers at risk of ADHD. One hundred and thirty-one preschoolers (70 boys, 53%) aged 4 to 6 (M = 5.31 years) were assessed on their ADHD-related behaviors, neuropsychological functioning, word reading, and math abilities at two time points one year apart. Factor analysis indicated that inhibitory and attentional control deficit, delay aversion, and time perception/working memory deficit were three dissociable factors. Among the three factors, inhibitory and attentional control measured at Time 1 was the strongest predictor of ADHD symptoms at both Time 1 and Time 2. Time perception was closely related to working memory, and they predicted word reading and numeration across time most strongly among other neuropsychological constructs. Our findings suggested that inhibitory and attentional control, delay aversion, and time perception are dissociable neuropsychological deficits underlying ADHD symptoms in preschoolers. Poor time perception may serve as a marker for the early identification of preschoolers with potential learning problems, and a possible target of intervention for ADHD.Supplementary informationThe online version contains supplementary material available at 10.1007/s10802-022-00937-x.

Toward Gender Equality in Education—Teachers’ Beliefs about Gender and Math

Math has a strong gender-related image, even among teachers. As teachers hold beliefs about their work, their role, their subject, and their students, they shape girls’ and boys’ mathematical beliefs and attitudes. Research during the past 20 years has shown that teachers’ gender beliefs about mathematics significantly favor boys, thereby reinforcing girls’ low math ability self-concept. Still, there is a lack of studies that examine teachers’ gender-related beliefs based on their underlying assumptions. Our study provides the first empirical evidence of the relationship between general gender stereotypes and math stereotypes. To this end, we used partial correlation and MANCOVA to analyze data from an online survey in 2019/2020 conducted in Switzerland (195 women, 80 men) as part of a cross-cultural comparison study. We therefore created a differentiated profile of prospective teachers by examining their beliefs about their self-image, their image of men and women in society, their essentialist and gender role ideology beliefs, and their math stereotypes. Then, we linked prospective teachers’ beliefs about gender (based on 48 characteristics) to their beliefs about mathematics and about girls’ and boys’ competencies in math. The extensive analysis provides knowledge about prospective teachers and is particularly important for teacher education.

The influence of teachers’ math instructional practices on English learners’ reading comprehension and math problem-solving performance in Spanish and English

ABSTRACT We explored the role of three math instructional practices by teachers (explicit instruction, guided practice, peer interaction) in predicting current Spanish and English reading comprehension and later Spanish and English math problem-solving performance of English learners (ELs). In this study, math was taught in Spanish. We had 26 teachers and 319 Spanish-speaking ELs from dual language classrooms. Of concern was whether the teachers’ use of these three practices in the first year of the study yielded significant predictions in ELs’ Spanish and English reading comprehension in the current year and math problem-solving accuracy in the subsequent years. Our multilevel modeling results indicated that math skills could predict reading performance and that early calculation in Spanish and English significantly predicted later problem-solving performance. The results also indicated a trade-off regarding the language of instruction and math ability. Further, such instructional practices were more likely to benefit ELs without learning difficulties in math (LDM) than those with LDM. These findings suggest that when teachers use the three instructional practices in early years, these practices need to account for the language of instruction and the continuum of student abilities related to math in order to better improve ELs’ problem-solving accuracy in later years.

Predicting Math Ability Using Working Memory, Number Sense, and Neurophysiology in Children and Adults.

Previous work has shown relations between domain-general processes, domain-specific processes, and mathematical ability. However, the underlying neurophysiological effects of mathematical ability are less clear. Recent evidence highlighted the potential role of beta oscillations in mathematical ability. Here we investigate whether domain-general (working memory) and domain-specific (number sense) processes mediate the relation between resting-state beta oscillations and mathematical ability, and how this may differ as a function of development (children vs. adults). We compared a traditional analysis method normally used in EEG studies with a more recently developed parameterization method that separates periodic from aperiodic activity. Regardless of methods chosen, we found no support for mediation of working memory and number sense, neither for children nor for adults. However, we found subtle differences between the methods. Additionally, we showed that the traditional EEG analysis method conflates periodic activity with aperiodic activity; in addition, the latter is strongly related to mathematical ability and this relation differs between children and adults. At the cognitive level, our findings do not support previous suggestions of a mediation of working memory and number sense. At the neurophysiological level our findings suggest that aperiodic, rather than periodic, activity is linked to mathematical ability as a function of development.

Development of regional brain gray matter volume across the first 13 years of life is associated with childhood math computation ability for children born very preterm and full term

Very preterm birth (VP; <32 weeks’ gestation) is associated with altered brain gray matter development and lower math ability. In typically developing children, the neural correlates of math ability may change dynamically with age, though evidence in VP children is limited. In a prospective longitudinal cohort of children born VP and full term (FT), we aimed to investigate associations between 1) concurrent regional brain volumes and math ability at 7 (n = 148 VP; n = 34 FT) and 13-years (n = 130 VP; n = 46 FT), and 2) regional volumetric growth across childhood (term-equivalent age (TEA) to 7-years; 7 to 13-years) and math ability from 7 to 13-years, and improvement in ability from 7 to 13 years. For both aims we investigated whether associations differed between birth groups. Cross-sectionally, frontal, temporal and subcortical regional volumes were positively associated with math ability for both birth groups. For FT children, greater growth of specific temporal regions was associated with higher math ability, and greater improvements. For VP children, similar associations were only observed for growth from TEA to 7-years with 13-year ability and improvements in ability. In conclusion, VP birth appears to alter associations of brain development across the first 13 years with childhood math ability.

The sexes do not differ in general intelligence, but they do in some specifics

Reliable and meaningful sex differences exist in specific cognitive abilities despite no reliable or meaningful sex difference in general intelligence. Here we use Cattell-Horn-Carroll (CHC) theory to highlight research findings related to sex differences in intelligence, with a focus on studies of test scores from comprehensive intelligence measures that were obtained from large and representative samples of children and adolescents. Female advantages in latent processing speed and male advantages in latent visual processing are the most meaningful and consistently reported sex differences regarding CHC broad cognitive abilities. Differences have been reported in narrow and specific ability constructs such as mental rotation and object memory location. In academic achievement, the largest and most consistent findings are female advantages in writing, whereas male advantages at higher math ability levels are also found. Empirical descriptions of sex differences should consider the breadth of the construct under study and incorporate analysis beyond simple mean differences. Score analysis methods that utilize multiple-group confirmatory factor models and multiple-indicator multiple cause models are useful to address the former, and analysis methods such as quantile regression and male-female ratio calculations along score distributions are useful to address the latter. An understanding of why specific ability differences exist in combination and in the presence of similarities will improve researchers' understanding of human cognition and educational achievements.

The Impact of Cleft Lip/Palate and Surgical Intervention on Adolescent Life Outcomes.

Background:Cleft lip/palate (CLP) is a congenital orofacial anomaly appearing in approximately one in 700 births worldwide. While in high-income countries CLP is normally addressed surgically during infancy, in developing countries CLP is often left unoperated, potentially impacting multiple dimensions of life quality. Previous research has frequently compared CLP outcomes to those of the general population. But because local environmental and genetic factors contribute to the risk of CLP and also may influence life outcomes, such studies may downwardly bias estimates of both CLP status and correction.Objectives:This research represents the first study to use causal econometric methods to estimate the effects of both CLP status and CLP correction on the physical, social, and mental well-being of children.Methods:Data were collected first-hand from 1,118 Indian children, where we obtained first-hand data on height, weight, grip strength, cognitive ability, reading, and math ability. A professional speech therapist reviewed digital recordings of speech taken at the interview to obtain four measures of speech quality. Using this data, the household fixed-effects model we employ jointly estimates effects of CLP status and CLP surgical intervention.Findings:Our results indicate that adolescents with median-level CLP severity show statistically significant losses in indices of speech quality (-1.59σ), physical well-being (0.32σ), academic and cognitive ability (-0.37σ), and social integration (-0.32σ). We find strong evidence that CLP surgery significantly restores speech if performed before five years of age. The first surgeries performed on less-severe CLP cases significantly restore social integration, psychological well-being, academic/cognitive ability, and a general index of human flourishing.Conclusions:Children born with CLP in India face statistically significant losses in speech, physical health, mental health, and social inclusion. CLP surgical intervention significantly restores speech quality if carried out at an early age. Surgeries with the most significant impact on life outcomes are the first surgeries performed on less-severe CLP cases.

Foundational Number Sense Training Gains Are Predicted by Hippocampal-Parietal Circuits.

The development of mathematical skills in early childhood relies on number sense, the foundational ability to discriminate among quantities. Number sense in early childhood is predictive of academic and professional success, and deficits in number sense are thought to underlie lifelong impairments in mathematical abilities. Despite its importance, the brain circuit mechanisms that support number sense learning remain poorly understood. Here, we designed a theoretically motivated training program to determine brain circuit mechanisms underlying foundational number sense learning in female and male elementary school-age children (7-10 years). Our 4 week integrative number sense training program gradually strengthened the understanding of the relations between symbolic (Arabic numerals) and nonsymbolic (sets of items) representations of quantity. We found that our number sense training program improved symbolic quantity discrimination ability in children across a wide range of math abilities including children with learning difficulties. Crucially, the strength of pretraining functional connectivity between the hippocampus and intraparietal sulcus, brain regions implicated in associative learning and quantity discrimination, respectively, predicted individual differences in number sense learning across typically developing children and children with learning difficulties. Reverse meta-analysis of interregional coactivations across 14,371 fMRI studies and 89 cognitive functions confirmed a reliable role for hippocampal-intraparietal sulcus circuits in learning. Our study identifies a canonical hippocampal-parietal circuit for learning that plays a foundational role in children's cognitive skill acquisition. Findings provide important insights into neurobiological circuit markers of individual differences in children's learning and delineate a robust target for effective cognitive interventions.SIGNIFICANCE STATEMENT Mathematical skill development relies on number sense, the ability to discriminate among quantities. Here, we develop a theoretically motivated training program and investigate brain circuits that predict number sense learning in children during a period important for acquisition of foundational cognitive skills. Our integrated number sense training program was effective in children across a wide a range of math abilities, including children with learning difficulties. We identify hippocampal-parietal circuits that predict individual differences in learning gains. Our study identifies a brain circuit critical for the acquisition of foundational cognitive skills, which will be useful for developing effective interventions to remediate learning disabilities.

Financial Education, Mathematical Confidence, and Financial Behavior

A significant ongoing initiative is to identify the conditions under which financial education is most effective, as it has been shown to work much better in some circumstances than others. One factor to consider is mathematical capability, as it has been linked to improved financial knowledge and financial outcomes. In this paper, we investigated one aspect of math capability: math confidence (that is, self-reported math ability). We examined how this factor interacts with financial education (measured by the number of financial education courses taken) with data from the 2018 National Financial Capability Survey (NFCS). We found that both mathematical confidence and financial education were positively associated with financial behaviors and, moreover, that the effects were largely independent rather than acting as substitutes – suggesting that future intervention work should consider both factors.

Racial Stereotype Endorsement, Academic Engagement, Mindset, and Performance among Black and White American Adolescents.

The role of racial stereotypes in youth's academic achievement becomes salient during adolescence. Yet, very few studies have investigated whether associations between Black and White American adolescents' stereotype endorsement and their cognitive engagement, mindset beliefs, and performance in math differed by stereotype valence (i.e., positive versus negative) and youth gender. To address these gaps, this 3-year longitudinal study (n = 2546; age range = 11-16; 50% males, 60% White, 40% Black; 57% qualified for free lunch) investigated (a) whether Black and White American adolescents' endorsement of positive and negative racial stereotypes differentially related to their cognitive engagement, ability mindset, and math performance and (b) whether gender moderated these relations. The results revealed that endorsing either negative or positive racial stereotypes (as opposed to those with unbiased beliefs) was linked to lower cognitive engagement and stronger fixed mindsets in math 1 year after, while endorsing negative racial stereotypes was linked to lower math scores. In addition, the intersection of adolescents' race and gender moderated some of the observed effects. The inverse link between negative stereotype endorsement and math cognitive engagement was significant for Black girls but not for Black boys. The positive link between negative stereotype endorsement and fixed math ability mindset was stronger for Black girls than Black boys, whereas the link was stronger for White boys than White girls. These findings shed light on the direction and strength of the links between racial stereotype valence and math outcomes among Black and White youth.

Spatial anxiety and spatial ability: Mediators of gender differences in math anxiety.

Females tend to be more anxious than males while engaging in mathematics, which has been linked to lower math performance and higher math avoidance. A possible repercussion of this gender difference is the underrepresentation of females in STEM fields (science, technology, engineering, and math), as math competencies are an essential part of succeeding in such fields. A related, but distinct, area of research suggests that males tend to outperform females in tasks that require spatial processing (i.e., the ability to mentally visualize, rotate, and transform spatial and visual information). Interestingly, factors from the spatial processing domain (spatial ability and spatial anxiety) are important in explaining gender differences in math anxiety. Here, we examined three types of spatial anxiety and ability (imagery, navigation, and manipulation), as well as math ability, as mediators of gender differences in math anxiety. Undergraduate students (125 male; 286 female) completed assessments of their general level of anxiety, their math anxiety, and their spatial anxiety. They also completed a series of tasks measuring their mathematical skill, their spatial skills, and basic demographics. Results suggest that manipulation anxiety and ability, navigation anxiety, and math ability explained the gender difference in math anxiety, but manipulation anxiety was the strongest mediator of this relation. Conversely, all other measures did not explain the gender difference in math anxiety. These findings help us better understand the gender difference in mathematics, and this is important in reducing the gender gap in STEM fields. (PsycInfo Database Record (c) 2022 APA, all rights reserved).

Teachers’ and students’ perceptions of students’ ability and importance value in math and reading: A latent difference score analysis of intra-individual cross-domain differences

Informed by Eccles and colleagues’ expectancy-value theory and Möller and Marsh’s dimensional comparison theory, we examined cross-domain intra-individual differences in elementary teachers’ (N = 57) and their students’ (N = 469) ratings of students’ ability and subjective importance of math and reading. Latent difference score analyses revealed that students perceived greater intra-individual differences in their own math versus reading ability than did their teachers. Analogous results emerged for students’ and teachers’ ratings of students’ valuing (i.e., perceived importance) of math versus reading, suggesting differing dimensional comparison processes for students’ self-judgments vs. their teachers’ judgments. Cross-domain differences in teachers’ and students’ perceptions were positively associated for ratings of students’ ability but not for ratings of students’ perceived importance. Moreover, intra-individual differences varied substantially across students, in both students’ and teachers’ ratings. Students’ gender and prior achievement in math and reading contributed to this variation.

Improving mathematics performance in 7-year-old children: Training the mapping from estimated quantities to Arabic digits

Exact arithmetic abilities require symbolic numerals, which constitute a precise representation of quantities, such as the Arabic digits. Numerical thinking, however, also engages an intuitive non-linguistic number sense, the Approximate Number System (ANS). The ANS allows us to discriminate quantities, approximate arithmetic transformations, and estimate quantities, all without counting individual items. Although the ANS does not require language, estimations made by means of the ANS can be expressed with number words or Arabic digits. A connection between the ANS and school math performance has been established. A child’s accuracy in mapping from approximate quantities to Arabic digits is associated with children’s symbolic math abilities and can also predict their success at learning new arithmetic skills. Here, we explore whether directly training the mapping between estimated quantities and Arabic digits transfers to better math proficiency. The control training was based on discriminating quantity representations, without involving digits. Each of these three-week computer-based trainings were added to the school schedule. We measured improvements in approximate and exact arithmetic after training. Both the experimental and the control group improved in approximate arithmetic performance. However, in exact arithmetic, results show that strengthening the digit-quantity relation improved the 7-year-olds’ competence in symbolic additions and subtractions over and above the improvement measured in the control group. Our results speak to the complexity of the factors involved in developing mathematical abilities, making the case that training the mapping from estimated quantities to digits can be particularly effective in improving children’s mathematical performance.

The development of mathematical HOTS questions based on banten culture

The resulted of a survey conducted by the Organization for Economic Cooperation and Develop-ment based on the 2018 Program for International Student Assessment were obtained from 78 countries, Indonesian students ranked 72nd in math ability. The reason is that the 2013 curricu-lum that has been implemented in Indonesia is eurocentric. The transformation sought in the field of education is the improvement of high order thinking skills and mathematical abilities. Educa-tion and culture cannot be separated from regular daily life because culture covers all aspects of life while education is a primary need for everyone. This study used the Research and Develop-ment (RD) method with the Martin Tessmer (1993) model, which is formative research. The validity of the values obtained above 0.80 means that the questions are valid. The level of practi-cality of the questions obtained is 96.25%, very practical category. The reliability coefficient of 0.891, reliable. The level of difficulty is known to be 80% of the items in the medium category, 20% of the items in the difficult category. The discriminatory power of the question is known to all items (100%) in good category, meaning that good questions are used to classify the level of stu-dents thinking abilities.

The Influence of Culture Capital, Social Security, and Living Conditions on Children's Cognitive Ability: Evidence from 2018 China Family Panel Studies.

The aim of this study was to analyze the influence of economic capital, culture capital, social capital, social security, and living conditions on children’s cognitive ability. However, most studies only focus on the impact of family socio-economic status/culture capital on children’s cognitive ability by ordinary least squares regression analysis. To this end, we used the data from the China Family Panel Studies in 2018 and applied proxy variable, instrumental variables, and two-stage least squares regression analysis with a total of 2647 samples with ages from 6 to 16. The results showed that family education, education expectation, books, education participation, social communication, and tap water had a positive impact on both the Chinese and math cognitive ability of children, while children’s age, gender, and family size had a negative impact on cognitive ability, and the impact of genes was attenuated by family capital. In addition, these results are robust, and the heterogeneity was found for gender and urban location. Specifically, in terms of gender, the culture, social capital, and social security are more sensitive to the cognitive ability of girls, while living conditions are more sensitive to the cognitive ability of boys. In urban locations, the culture and social capital are more sensitive to rural children’s cognitive ability, while the social security and living conditions are more sensitive to urban children’s cognitive ability. These findings provide theoretical support to further narrow the cognitive differences between children from many aspects, which allows social security and living conditions to be valued.

Mathematics and Numerosity but Not Visuo-Spatial Working Memory Correlate with Mathematical Anxiety in Adults.

Many individuals, when faced with mathematical tasks or situations requiring arithmetic skills, experience exaggerated levels of anxiety. Mathematical anxiety (MA), in addition to causing discomfort, can lead to avoidance behaviors and then to underachievement. However, the factors inducing MA and how MA deploys its detrimental effects are still largely debated. There is evidence suggesting that MA affects working memory capacity by further diminishing its limited processing resources. An alternative account postulates that MA originates from a coarse early numerical cognition capacity, the perception of numerosity. In the current study, we measured MA, math abilities, numerosity perception and visuo-spatial working memory (VSWM) in a sample of neurotypical adults. Correlational analyses confirmed previous studies showing that high MA was associated with lower math scores and worse numerosity estimation precision. Conversely, MA turned out to be unrelated to VSWM capacities. Finally, partial correlations revealed that MA fully accounted for the relationship between numerosity estimation precision and math abilities, suggesting a key role for MA as a mediating factor between these two domains.

Ability signals and rigorous coursework: Evidence from AP Calculus participation

Large racial gaps in rigorous math coursework enrollment are a barrier to improving college completion rates and access to careers in STEM. Perceptions of the math abilities of underrepresented minority students, whether by themselves or their schools, may contribute to such gaps. A regression discontinuity design with data on all Massachusetts public school students shows how receiving a positive ability signal affects subsequent enrollment in advanced high school math coursework. For Black or Hispanic students, particularly those with low reading scores, being labeled as “Advanced” on a 10th grade math test substantially increases the likelihood of later Advanced Placement Calculus course- and exam-taking. White or Asian students and those from higher income high schools show no such effects. Understanding how ability signals affect students’ and schools’ decisions about assignment to coursework may suggest further ways to address gaps in such enrollment.

The Place of Gender Stereotypes in the Network of Cognitive Abilities, Self-Perceived Ability and Intrinsic Value of School in School Children Depending on Sex and Preferences in STEM.

Adolescents face many barriers on the path towards a STEM profession, especially girls. We examine the gender stereotypes, cognitive abilities, self-perceived ability and intrinsic values of 546 Russian school children from 12 to 17 years old by sex and STEM preferences. In our sample, STEM students compared to no-STEM have higher cognitive abilities, intrinsic motivation towards math and science, are more confident in their math abilities and perceive math as being easier. Boys scored higher in science, math and overall academic self-efficacy, intrinsic learning motivation and math’s importance for future careers. Meanwhile, girls displayed higher levels of gender stereotypes related to STEM and lower self-efficacy in math. A network analysis was conducted to identify the structure of psychological traits and the position of the stem-related stereotypes among them. The analysis arrived at substantially different results when adolescents were grouped by sex or preference towards STEM. It also demonstrated that gender stereotypes are connected with cognitive abilities, with a stronger link in the no-STEM group. Such stereotypes play a more important role for girls than boys and, jointly with the general self-efficacy of cognitive and academic abilities, are associated with the factors that distinguish groups of adolescents in their future careers.

Can Electronic Board Increase the Motivation of Students to Study Mathematics?

During the junior high and high school years, there is a dramatic decrease in motivation for math studies, which has been found to play a major role in learning processes. Many attempts have been made to mitigate this decrease in motivation and to encourage mathematics studies in higher grades. One way that researchers have proposed to stimulate students’ curiosity and their perceived ability in math is to integrate technology into teaching. Such technology includes technological tools, digital educational activities, learning support software. Using tablet in class has significant potential to improve learning but the issue of how to effectively integrate digital technology into teaching and learning practices becomes critical. According to that knowledge we examined the impact of the use of a digital writing board (similar to tablet) by the lecturer during frontal lectures in mathematics on students’ learning motivation in an engineering academic preparatory program, following motivational constructs: self-efficacy, implicit theory of ability, value beliefs, and learning climate. The results showed that the technological tool positively affected two important motivational constructs that influence general motivation for mathematics studies.