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1.
Despite research demonstrating a strong association between early and later mathematics achievement, few studies have investigated mediators of this association. Using longitudinal data (n = 1,362), this study tested the extent to which mathematics self‐concepts, school placement, executive functioning, and proficiency in fractions and division account for the association between mathematics achievement in first grade and at age 15. As hypothesized, a strong longitudinal association between first‐grade and adolescent mathematics achievement was present (β = .36) even after controlling for a host of background characteristics, including cognitive skills and reading ability. The mediators accounted for 39% of this association, with mathematics self‐concept, gifted and talented placement, and knowledge of fractions and division serving as significant mediators.  相似文献   

2.
This study investigated associations among third‐grade teachers' (N = 27) symptoms of depression, quality of the classroom‐learning environment (CLE), and students' (N = 523, Mage = 8.6 years) math and literacy performance. teachers' depressive symptoms in the winter negatively predicted students' spring mathematics achievement. This depended on students' fall mathematics scores; students who began the year with weaker math skills and were in classrooms where teachers reported more depressive symptoms achieved smaller gains than did peers whose teachers reported fewer symptoms. teachers' depressive symptoms were negatively associated with quality of CLE, and quality of CLE mediated the association between depressive symptoms and student achievement. The findings point to the importance of teachers' mental health, with implications for policy and practice.  相似文献   

3.
Executive functioning (EF) is associated with children’s math skill development, both concurrently and longitudinally. However, it is not known how components of EF might be related to mathematics skills and vice versa over the course of elementary school. The present study addresses this issue by investigating relations between math achievement and two key components of EF -- working memory (WM) and cognitive flexibility (CF) -- from kindergarten to 5th grade, using the large-scale nationally representative dataset (N = 18,174) from the Early Childhood Longitudinal Study-Kindergarten (ECLS-K: 2011). Results from cross-lagged panel models with fixed effects support a transactional theoretical model, demonstrating a long-term reciprocal relationship between WM and math achievement from kindergarten to 5th grade and between CF and math achievement from 2nd grade to 5th grade. However, we found that reciprocal relations decrease as children grow older, suggesting that their math achievement relies less on EF and more on prior math knowledge over time.  相似文献   

4.
The primary goal in this study was to examine maternal support of numerical concepts at 36 months as predictors of math achievement at 4½ and 6‐7 years. Observational measures of mother–child interactions (n = 140) were used to examine type of support for numerical concepts. Maternal support that involved labeling the quantities of sets of objects was predictive of later child math achievement. This association was significant for preschool (d = .45) and first‐grade math (d = .49), controlling for other forms of numerical support (identifying numerals, one‐to‐one counting) as well as potential confounding factors. The importance of maternal support of labeling set sizes at 36 months is discussed as a precursor to children's eventual understanding of the cardinal principle.  相似文献   

5.
A reciprocal effects model linking emotion and achievement over time is proposed. The model was tested using five annual waves of the Project for the Analysis of Learning and Achievement in Mathematics (PALMA) longitudinal study, which investigated adolescents’ development in mathematics (Grades 5–9; N = 3,425 German students; mean starting age = 11.7 years; representative sample). Structural equation modeling showed that positive emotions (enjoyment, pride) positively predicted subsequent achievement (math end‐of‐the‐year grades and test scores), and that achievement positively predicted these emotions, controlling for students’ gender, intelligence, and family socioeconomic status. Negative emotions (anger, anxiety, shame, boredom, hopelessness) negatively predicted achievement, and achievement negatively predicted these emotions. The findings were robust across waves, achievement indicators, and school tracks, highlighting the importance of emotions for students’ achievement and of achievement for the development of emotions.  相似文献   

6.
Singaporean elementary-school students (N = 299) completed Child Implicit Association Tests (Child IAT) as well as explicit measures of gender identity, math–gender stereotypes, and math self-concepts. Students also completed a standardized math achievement test. Three new findings emerged. First, implicit, but not explicit, math self-concepts (math = me) were positively related to math achievement on a standardized test. Second, as expected, stronger math–gender stereotypes (math = boys) significantly correlated with stronger math self-concepts for boys and weaker math self-concepts for girls, on both implicit and explicit measures. Third, implicit math–gender stereotypes were significantly related to math achievement. These findings show that non-academic factors such as implicit math self-concepts and stereotypes are linked to students' actual math achievement. The findings suggest that measuring individual differences in non-academic factors may be a useful tool for educators in assessing students' academic outcomes.  相似文献   

7.
The current study estimated the causal links between preschool mathematics learning and late elementary school mathematics achievement using variation in treatment assignment to an early mathematics intervention as an instrument for preschool mathematics change. Estimates indicate (n = 410) that a standard deviation of intervention‐produced change at age 4 is associated with a 0.24‐SD gain in achievement in late elementary school. This impact is approximately half the size of the association produced by correlational models relating later achievement to preschool math change, and is approximately 35% smaller than the effect reported by highly controlled ordinary least squares (OLS) regression models (Claessens et al., 2009; Watts et al., 2014 ) using national data sets. Implications for developmental theory and practice are discussed.  相似文献   

8.
Math anxiety is considered a predictor of math achievement, although the cognitive mechanism whereby math anxiety impairs math achievement is unclear. The paper presents the results of cross-sectional (N = 241) and longitudinal (N = 369) studies conducted among early school-aged children on the cognitive mechanism whereby math anxiety impairs math achievement. The following hypotheses were tested: (1) math anxiety directly affects math achievement; (2) in accordance with processing efficiency and attentional cognitive theories, math anxiety indirectly affects math achievement through working memory; (3) in accordance with the cognitive deficit model, math anxiety indirectly affects math achievement through number sense. The results mostly confirm the mediating role of working memory and undermine the mediating role of number sense and the direct path in the relationship between math anxiety and math achievement. Because previous studies undertaken in adults show the direct path from math anxiety to math achievement and the role of symbolic number processing in explaining the relationship between the two, the methodological and developmental aspects of the obtained results are discussed in the paper.  相似文献   

9.
The pervasive income–achievement gap has been attributed in part to deficiencies in executive functioning (EF). The development of EF is related to children's planning ability, an aspect of development that has received little attention. Longitudinal data from the National Institute of Child Health and Human Development study of early child care show that early childhood poverty (1 and 24 months) is significantly related to fifth grade, math, and reading achievement (n = 1,009). The ability to plan in Grade 3, indexed by the Tower of Hanoi task, mediates the income–achievement gap in math and to a lesser extent in reading. IQ was incorporated as a statistical control throughout.  相似文献   

10.
This study recruited 428 Singaporean children at risk of math learning difficulties (MLD; Mage = 83.9 months, SDage = 4.35 months; 41% female). Using a factor mixture model that considered both quantitative and qualitative differences in math ability, two qualitatively different groups were identified: one with generalized difficulties across different math skills and the other with more focal difficulties in arithmetic fluency. Reading, working memory capacity, and numeracy (number line estimation skills and numerical discrimination) uniquely explained group membership. Children within each group differed in the extent of difficulties they exhibited, with numeracy variables differentially contributing to math ability in each group. Findings speak against a dimensional view of MLD and underscore the conceptual limitations of using basic numeracy performance to profile learning difficulties.  相似文献   

11.
Panel mediation models and fixed‐effects models were used to explore longitudinal relations among parents' reactions to children's displays of negative emotions, children's effortful control (EC), and children's math achievement (N = 291; M age in fall of kindergarten = 5.66 years, SD = .39 year) across kindergarten through second grade. Parents reported their reactions and children's EC. Math achievement was assessed with a standardized achievement test. First‐grade EC mediated the relation between parents' reactions at kindergarten and second‐grade math achievement, beyond stability in constructs across study years. Panel mediation model results suggested that socialization of EC may be one method of promoting math achievement in early school; however, when all omitted time‐invariant covariates of EC and math achievement were controlled, first‐grade EC no longer predicted second‐grade math achievement.  相似文献   

12.
This longitudinal study examined cross-lagged relations of self-concepts of ability and achievement emotions (i.e., enjoyment, boredom, anxiety) in two central school subjects (i.e., mathematics and literacy). Adolescents (N = 848) reported their achievement emotions and self-concepts of ability four times during Grades 6 and 7. The pattern of results was different for mathematics and literacy subjects. For mathematics the results of random intercept cross-lagged panel models showed a positive reciprocal relationship between self-concepts of ability and enjoyment and a negative reciprocal relationship between self-concept and anxiety. Lower self-concepts of ability in mathematics also predicted higher boredom in mathematics but not vice versa. For literacy, in turn, self-concept of ability did not predict any of the achievement emotions and emotions did not predict literacy self-concept of ability. The results suggest that achievement emotions act as sources as well as consequences of adolescents’ self-concepts of ability, particularly in mathematics.  相似文献   

13.
Hispanic students, born both inside and outside the United States, comprise over 80% of the US English language learner population. The difference in mathematics achievement among Hispanic students and other populations has been well documented. As a result, it is important to understand the effects of using standards-based mathematics curriculum with high school Hispanic students. Mathematics achievement scores from the Colorado Student Assessment Program and Measurement of Academic Progress for Hispanic 9th and 10th grade students (n = 1,318) who used the Core-Plus Mathematics Program were compared to the progress of other student demographics (n = 2,003) who used the same curriculum. In following the recommendations of the National Research Council (On evaluation curricular effectiveness: judging the effectiveness of K-12 mathematics evaluations. National Academies Press, Washington, DC 2005), a meta-analysis (Glass in Educ Res 5:3–8, 1976) of Hispanic students using National Science Foundation Funded (NSFF) curricula was conducted to contextualize this study’s findings within the findings of previous studies. The results of this study indicated that Hispanic students have shown modest gains; however, their relative position compared to other ethnic groups is unremarkable. The meta-analysis Cohen’s d results ranged from +.673 (SE = .131) to −.670 (SE = .045) with slightly positive effects for Hispanic students using an NSFF curriculum when compared to those not using an NSFF curriculum (.043, SE = .012).  相似文献   

14.
This research examined how motivation (perceived control, intrinsic motivation, and extrinsic motivation), cognitive learning strategies (deep and surface strategies), and intelligence jointly predict long‐term growth in students' mathematics achievement over 5 years. Using longitudinal data from six annual waves (Grades 5 through 10; Mage = 11.7 years at baseline; N = 3,530), latent growth curve modeling was employed to analyze growth in achievement. Results showed that the initial level of achievement was strongly related to intelligence, with motivation and cognitive strategies explaining additional variance. In contrast, intelligence had no relation with the growth of achievement over years, whereas motivation and learning strategies were predictors of growth. These findings highlight the importance of motivation and learning strategies in facilitating adolescents' development of mathematical competencies.  相似文献   

15.
We present first-grade, second-grade, and third-grade impacts for a first-grade intervention targeting the conceptual and procedural bases that support arithmetic. At-risk students (average age at pretest = 6.5) were randomly assigned to three conditions: a control group (n = 224) and two variants of the intervention (same conceptual instruction but different forms of practice: speeded [n = 211] vs. nonspeeded [n = 204]). Impacts on all first-grade content outcomes were significant and positive, but no follow-up impacts were significant. Many intervention children achieved average mathematics achievement at the end of third grade, and prior math and reading assessment performance predicted which students will require sustained intervention. Finally, projecting impacts 2 years later based on nonexperimental estimates of effects of first-grade math skills overestimates long-term intervention effects.  相似文献   

16.
Analyses examined academic achievement data across third through eighth grades (N = 26,474), comparing students identified as homeless or highly mobile (HHM) with other students in the federal free meal program (FM), reduced price meals (RM), or neither (General). Achievement was lower as a function of rising risk status (General > RM > FM > HHM). Achievement gaps appeared stable or widened between HHM students and lower risk groups. Math and reading achievement were lower, and growth in math was slower in years of HHM identification, suggesting acute consequences of residential instability. Nonetheless, 45% of HHM students scored within or above the average range, suggesting academic resilience. Results underscore the need for research on risk and resilience processes among HHM students to address achievement disparities.  相似文献   

17.
The association between fluid intelligence and inter-individual differences was investigated using multilevel growth curve modeling applied to data measuring intra-individual improvement on math achievement tests. A sample of 166 students (88 boys and 78 girls), ranging in age from 11 to 14 (M = 12.3, SD = 0.64), was tested. These individuals took four math achievement tests, which were vertically equated via Item Response Theory, at the beginning and end of the seventh and eighth grade. The cognitive abilities studied were Numerical Reasoning, Abstract Reasoning, Verbal Reasoning, and Spatial Reasoning (as measured by the Differential Reasoning Test). The general cognitive factor was significantly associated with the parameters of initial level (intercept) and rate of change (slope). A high level of intelligence was associated with higher initial scores, as well as a steeper rise in math scores across the two years.  相似文献   

18.
Dimensional comparisons (i.e., comparing own performances across domains) may drive an increasing differentiation in students' math and verbal self-concepts over time, but little longitudinal research has directly tested this assumption. Using cross-sequential data spanning Grades 1–12 (N = 1069, ages 6–18, 92% White, 2% Black, 51% female, collected 1987–1996), this study charted age-related changes in the role of dimensional comparisons in students' ability self-concept formation. It used three types of self-concept measures: peer comparisons, cross-domain comparisons, and no comparisons. Results indicated that the increase in students' use of dimensional comparisons in self-evaluations substantially contributed to the increasing differentiation in students' math and verbal self-concepts over time. Findings highlight the importance of dimensional comparisons in the development of students' ability self-concepts.  相似文献   

19.
This study examined repeating and growing pattern knowledge and their associations with procedural and conceptual arithmetic knowledge in a sample of U.S. children (N = 185; Mage = 79.5 months; 55% female; 88% White) and adults (N = 93; Mage = 19.5 years; 62% female; 66% White) from 2019 to 2020. Three key findings emerged: (1) repeating pattern tasks were easier than growing pattern tasks, (2) repeating pattern knowledge robustly predicted procedural calculation skills over and above growing pattern knowledge and covariates, and (3) growing pattern knowledge modestly predicted procedural and conceptual math outcomes over and above repeating pattern knowledge and covariates. We expand existing theoretical models to incorporate these specific links and discuss implications for supporting math knowledge.  相似文献   

20.
The internal/external frame of reference (I/E) model posits paradoxical relations between achievement and self-concept in mathematics and verbal domains. There is strong support for the I/E model based on student self-ratings, however, reviews of self-concept research claim that the I/E model does not apply to ratings by parents and significant others. We aimed to test these claims using parent inferred self-concepts. In contrast to widely cited claims, we found support for I/E model for both students (N = 486; aged 11–17; 57.2% female) and their parents (80.5% female). Math and verbal achievement had positive effects on self-concepts in the matching domain (e.g., math achievement predicting math self-concept) but negative effects for self-concepts in the non-matching domain (e.g., math achievement predicting verbal self-concept). Integrating conflicting claims, we found support for dimensional comparison processes for inferred self-concept ratings by parents, but not for parent perceptions of student abilities similar to the measures used that were the basis of previous claims.  相似文献   

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