Mathematical ability is a cognitive ability that needs to be developed in every student because the mathematical ability is closely related to solving problems that involve the relationship of ...numerical symbols with students' cognitive activities. This study aims to look at the description of previous research related to mathematical abilities in learning mathematics in the last decade using bibliometric analysis methods. The data taken from the Scopus database was refined so that it became 157 publications. The United States of America is the most influential country and has high cooperation with other countries in this field. The focus of this research is: 1) ICT, Augmented reality, Computational thinking, and university; 2) mathematical problems, pre-service teachers, and higher education: 3) mathematics abilities, mathematics literacy, and outcomes; 4) high mathematical ability, technology and critical thinking ability. The results of this study can be used as a reference for future researchers
This study aims to analyze student mathematical literacy ability from the perspective of students' Mathematical Ability. This research is a descriptive study with a qualitative approach. The research ...subjects were three students of XI IPA 1 MAN 1 Padang with different mathematical abilities: low, medium, and high. Data were collected through documentation, tests, and interviews. The results of the analysis show that students with high abilities can solve routine problems, interpret problems and solve them with formulas, carry out procedures well, can deal with complex situations, use their reasoning in solving problems, can work effectively and interpret different representations and then relate them to the real world. Students with moderate abilities can solve routine problems, interpret problems and solve them with formulas, and carry out procedures properly. Meanwhile, students with low abilities are only able to solve routine questions. Based on these results, it is necessary to look for strategies in the mathematics learning process, which enable the improvement of students' mathematical literacy skills.
Meta-analyses from the 1990s previously have established a significant, small-to-moderate, and negative correlation between math achievement and math anxiety. Since these publications, research has ...continued to investigate this relation with more diverse samples and measures. Thus, the goal of the present meta-analysis was to provide an update of the math anxiety-math achievement relation and its moderators. Analyzing 747 effect sizes accumulated from research conducted between 1992 and 2018, we found a small-to-moderate, negative, and statistically significant correlation (r = −.28) between math anxiety and math achievement. The relation was significant for all moderator subgroups, with the exception of the relation between math anxiety and assessments measuring the approximate number system. Grade level, math ability level, adolescent/adult math anxiety scales, math topic of anxiety scale, and math assessments were significant moderators of this relation. There is also a tendency for published studies to report significantly stronger correlations than unpublished studies, but overall, large, negative effect sizes are underreported. Our results are consistent with previous findings of a significant relation between math anxiety and math achievement. This association starts in childhood, remains significant through adulthood, is smaller for students in Grades 3 through 5 and postsecondary school, is larger for math anxiety than for statistics anxiety and for certain math anxiety scales, and is smaller for math exam grades and samples selected for low math ability. This work supports future research efforts to determine effective math achievement and math anxiety interventions, which may be most helpful to implement during childhood.
Public Significance Statement
The present meta-analysis finds a robust association between math anxiety and math achievement, indicating that people who report higher feelings of anxiety toward math tend to have lower math achievement. The relation is weaker for people at certain grade levels (Grades 3 through 5 and college students), depends on the scales used to measure math anxiety, is stronger for math anxiety compared to statistics anxiety, and is weaker for math exam grades and for low math ability samples. Math anxiety is experienced by many individuals throughout development. Its association with math achievement makes math anxiety an important factor to consider for improving math experiences; academic outcomes; and science, technology, engineering, and mathematics career participation.
In this article, I describe my academic journey as a Canadian researcher in the field of mathematical cognition. The article is a version of the talk I gave when I was presented with the Donald O. ...Hebb Award from the Canadian Society for Brain, Behaviour and Cognitive Science in July 2023 at the University of Guelph. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
Are there cognitive connections between humans’ ability to make music and their understanding of math and numbers? This question has motivated centuries of speculation across the fields of philosophy ...and education and an increasing number of empirical studies of the topic. We review research at the intersection of numerical and music cognition, and establish its relevance both to the applied sphere (e.g., education) and to core theoretical issues in the cognitive sciences. Next, we identify notable limitations within the literature, and attempt to explain some of the likely causes of—and solutions to—these limitations. Finally, we propose specific themes of focus (spatialization and the mapping between symbolic and nonsymbolic representations) for future research aimed at understanding whether there is shared cognitive architecture for reasoning about number and math. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
A parent-directed intervention designed to foster growth-oriented mindsets about math was evaluated in a longitudinal randomized-control trial. Parents ( N = 615; 61% White, 22% Black; 63% with at ...least a bachelor’s degree) participated in the intervention or an active control condition in which they learned about the Common Core math curriculum. Parents reported on their math mindsets and parenting practices (e.g., autonomy-supportive math homework assistance) over 15–18 months; their young elementary school children’s ( M age = 7.17 years; 50% girls) math adjustment (e.g., mindsets and achievement) was also assessed. The intervention (vs. control) led to sustained increases in parents’ beliefs that math ability is malleable and math failure is beneficial for learning. The intervention, however, did not improve their math parenting practices or children’s math adjustment relative to the control. Instead, there were generally improvements in math parenting practices and children’s math adjustment over the course of the study regardless of condition, perhaps because the control condition provided parents with useful information about the Common Core math curriculum. Overall, the findings indicate that although the mindset intervention was effective in instilling stronger growth-oriented mindsets about math in parents, this did not translate into benefits for children’s math learning over and above the active control condition. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
Early reading skills are critical for later academic outcomes, which include mathematics. Yet, these relations may vary by a child’s ability level. This study examined how early reading skills relate ...to different levels of third-grade mathematics. The samples included 105 same-sex twin pairs (210 individuals, 57% female, 43% male) from the ongoing longitudinal Western Reserve Reading and Math Projects, assessed at kindergarten ( M = 6.18, SD = 0.44) and third grade ( M = 9.07, SD = 0.49). Kindergarten reading measures consisted of the Letter Identification task from the Woodcock Reading Mastery Test-Revised Normative Update, the Deletion subtests from Phonological Awareness Test, and the Letter Naming Fluency task from the Dynamic Indicators of Basic Early Literacy Skills; third-grade math measures included Calculation, Fluency, Applied Problem, and Quantitative Concepts subtests of Woodcock-Johnson III Tests of Achievement. Both linear and quantile regressions were conducted using reading measures as predictors and math measures as the dependent variables. Linear regressions indicated that the Deletion Summary Score was a unique predictor of Applied Problems, and Letter Naming Fluency was a significant and unique predictor of Calculation Fluency and Quantitative Concepts. Quantile regressions provided a more thorough analysis of these relations. It was found that Letter Naming Fluency was significantly associated with Calculation, Calculation Fluency, and Quantitative Concepts at the lower level. The Deletion Summary Score had relatively stable relations with Applied Problems across all levels. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
Students with mature number sense “make sense” of numbers and operations, use reasoning to notice patterns, and flexibly select the most effective and efficient problem-solving strategies (McIntosh ...et al., 1997; R. Reys et al., 1999; Yang, 2005). Although national standards and policy documents (e.g., CCSS, 2010; NCTM, 2000, 2014) emphasize the importance of number sense, limited research exists on the association between students’ mature number sense and other important psychological constructs in mathematics education, such as grade-level mathematics achievement. The present study addressed this gap through a longitudinal design, advancing fundamental knowledge of number sense as a construct. At the start of the school year, middle school students ( N = 129 at Time Point 1) completed measures of mature number sense and several related constructs, including grade-level mathematics achievement, executive functioning, and fraction and decimal computation. Students returned in the spring ( N = 115 at Time Point 2) to complete an end-of-year mathematics achievement assessment as a measure of grade-level content learned during the year. We found mature number sense to be measurably distinct from related constructs and uniquely predictive of students’ grade-level mathematics achievement at the end of the school year, controlling for their beginning-of-year mathematics achievement. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
Many researchers have studied the effects of ability grouping on students’ academic self-concept due to its critical importance for students’ educational choices and trajectories. However, the ...available evidence is almost exclusively correlational, the results are inconsistent, and it is thus unclear how ability grouping may influence students’ academic self-concept. This study applies causal inference methods to understand the mechanisms underlying the effects of math ability grouping on students’ math self-concept. Using a quasi-experimental design and following students who transitioned from elementary school (Grade 6) to middle school (Grade 7) with or without ability grouping ( N = 1,660, 90% White, 53% female), we investigated whether between-class math ability grouping impacts seventh graders’ formation of their math self-concept through comparative processes (social and dimensional comparisons) and objective performance information. Through propensity score weighting and average marginal effect estimation, we found that high-grouped students reported lower math self-concepts than high-achieving ungrouped students, and low-grouped students reported higher math self-concepts than low-achieving ungrouped students at the end of Grade 7. Average-achieving students attending schools with a between-class grouping policy showed stronger dimensional comparison effects than their ungrouped counterparts. The effects of prior math performance on math self-concept were nonsignificant for high- and low-achieving students, regardless of their grouping status. These findings advance our understanding of how pervasive school practices, such as ability grouping, shape students’ self-relevant motivational beliefs. (PsycInfo Database Record (c) 2024 APA, all rights reserved) (Source: journal abstract)
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