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1.
The aim of this study was to investigate cognitive profiles composed of skills predicting the overlap between reading and arithmetic in kindergarten (phonological awareness, letter knowledge, rapid automatized naming, and counting sequence knowledge) and the relation of these profiles to reading and arithmetic skills at Grades 1 and 7. A total of four distinct cognitive profiles were identified in an unselected sample of 1,710 children aged 5–6 years: (1) high linguistic and high counting skills (39.2%), (2) low linguistic and low counting skills (25.4%), (3) high counting skills in relation to linguistic skills (15.3%), and (4) low counting skills in relation to linguistic skills (20.1%). Among most of the children (about 65%), the linguistic and counting skills varied together. Children characterized by high or low overall performance levels across linguistic and counting skills also showed, predictably, high or low overall performance levels in subsequent reading and arithmetic skills in Grades 1 and 7. Children characterized by a discrepancy between linguistic and counting skills (about 35% of the children) in turn showed somewhat discrepant subsequent levels of reading and arithmetic skills. The results point towards individual variation (i.e., heterogeneity) in cognitive profiles that predict both reading and arithmetic skills in Grades 1 and 7. Based on these findings, the linguistic and basic number skills predict differently the overlap between reading and arithmetic in Grades 1 and 7 depending on cognitive profile. The weaknesses across linguistic and counting skills are a greater risk for persistent overlapping difficulties in reading and arithmetic than weaknesses in only one of the learning domains. For difficulties in arithmetic skill development, however, weaknesses in only counting skills present an equal risk compared to weaknesses evident across linguistic and counting skills.  相似文献   

2.
Counting abilities have been described as determinative precursors for a good development of later arithmetic abilities. Mastery of the stable order, the one–one-correspondence and the cardinality principles can be seen as essential features for the development of counting abilities. Mastery of the counting principles in kindergarten was assessed in a large group of children with a broad range of arithmetic abilities (N = 423). Not all children mastered the counting principles by the end of kindergarten. Mastery of the counting principles in kindergarten was predictive for arithmetic abilities one year later in first grade, especially for scores on arithmetic achievement tests. Children sharing a common educational background tend to have more similar scores on arithmetic tests, yet the importance of mastery of the essential counting principles in the prediction of later arithmetic achievement was the same for all classrooms.  相似文献   

3.
The ability to choose the larger between two numbers reflects a mature understanding of the magnitude associated with numerical symbols. The present study explores how the knowledge of the number sequence and memory capacity (verbal and visuospatial) relate to number comparison skills while controlling for cardinal knowledge. Preschool children’s (N = 140, Mage-in-months = 58.9, range = 41–75) knowledge of the directional property of the counting list as well as the spatial mapping of digits on the visual line were assessed. The ability to order digits on the visual line mediated the relation between memory capacity and number comparison skills while controlling for cardinal knowledge. Beyond cardinality, the knowledge of the (spatial) order of numbers marks the understanding of the magnitude associated with numbers.  相似文献   

4.
This study investigated the longitudinal associations between children’s early mathematics and their home numeracy environment (HNE). Chilean children from families who varied widely in socioeconomic status were assessed at the beginning and end of prekindergarten in 2016 (N = 419, Mage = 4:7 [years:months]), and at the end of kindergarten in 2017 (N = 368, Mage = 5:10). Children whose parents provided frequent operational numeracy activities (e.g., learning simple sums) at prekindergarten showed better arithmetic performance and growth in nonsymbolic and symbolic number comparison at the end of kindergarten. Parents’ knowledge of number-related games predicted children’s arithmetic skills and growth in nonsymbolic number comparison. These findings underscore the persistent relations between the HNE and the development of children’s mathematical skills.  相似文献   

5.
This study assessed the links between early maternal employment and children's later academic and behavioral skills in Australia and the United Kingdom. Using representative samples of children born in each country from 2000 to 2004 (Australia N = 5,093, U.K. N = 18,497), OLS regression models weighted with propensity scores assessed links between maternal employment in the 2 years after childbearing and children's skills in first grade. There were neutral associations between maternal employment and children's first‐grade skills in both countries. However, there was a slight indication that more time away from parenting was negatively linked to children's behavioral functioning in Australia and employment begun between 9 and 24 months was positively linked to cognitive skills for U.K. children of low‐wage mothers.  相似文献   

6.
This study examines the core predictors of the covariance in reading and arithmetic fluency and the domain-general cognitive skills that explain the core predictors and covariance. Seven-year-old Finnish children (N = 200) were assessed on rapid automatized naming (RAN), phonological awareness, letter knowledge, verbal counting, number writing, number comparison, memory skills, and processing and articulation speed in the spring of Grade 1 and on reading and arithmetic fluency in the fall of Grade 2. RAN and verbal counting were strongly associated, and a constructed latent factor, serial retrieval fluency (SRF), was the strongest unique predictor of the shared variance. Other unique predictors were phonological awareness, number comparison, and processing speed. Findings highlight the importance of SRF in clarifying the relation between reading and arithmetic fluency.  相似文献   

7.
Relational language is thought to influence mathematical skills. This study examines the association between relational language and number relation skills—knowledge of cardinal, ordinal, and spatial principles—among 104 U.S. kindergartners (5.9 years; 44% boys; 37% White, 25% Black, 14% Asian, 24% other) in the 2017–2018 academic year. Controlling for general verbal knowledge, executive function, and counting and number identification skills, relational language predicted later number relation skills, specifically number line estimation, β = .30. Relational language did not differentially predict number line estimation performance in children with low or high number relation skills, likely due to the restricted ranges of data within subgroups. Number relation skills, specifically number line estimation and number ordering, may be a pathway between relational language and mathematical skills.  相似文献   

8.
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   

9.
This 3-year longitudinal study examined how motivational tendencies, that is, task orientation and social dependence orientation, as well as cognitive-linguistic prerequisites of reading and math skills (i.e., phonological awareness, rapid naming, oral language comprehension skills, number sequence and basic arithmetic skills) measured in kindergarten (5–6 years), in preschool (6–7 years), and in grade 1, predict decoding, reading comprehension and arithmetic achievement in grade 2. Moreover, the motivational-developmental profiles of children with prospective learning difficulties were compared to the profiles of averagely achieving children. The participants were 139 Finnish-speaking children. Results from regression analyses showed that rapid naming was a unique longitudinal predictor of later decoding skills. Oral comprehension skills accounted for a unique variance in reading comprehension at every time point examined. Motivational orientations started to make unique contributions to subsequent decoding accuracy, reading comprehension and arithmetic from preschool onwards, over and above the effects of prior linguistic and math skills. High task orientation was beneficial for beginning reading, whereas high social dependence orientation was detrimental for reading comprehension and arithmetic. Students who fell behind of others both in reading comprehension and arithmetic experienced the most unfavourable development of motivation already during the first term in grade 1. Implications for instructional practices are discussed.  相似文献   

10.
How do children develop associations among number symbols? For Grade 1 children (n = 66, M = 78 months), sequence knowledge (i.e., identify missing numbers) and number comparison (i.e., choose larger number) predicted addition, both concurrently and indirectly at the end of Grade 1. Number ordering (i.e., touch numbers in order) did not predict addition but was predicted by number comparison, suggesting that magnitude associations underlie ordering performance. In contrast, for Grade 2 children (n = 80, M = 90 months), number ordering predicted addition concurrently and at the end of Grade 2; number ordering was predicted by number comparison, sequencing, and inhibitory processing. Development of symbolic number competence involves the hierarchical integration of sequence, magnitude, order, and arithmetic associations.  相似文献   

11.
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   

12.
The present study explored the environmental and genetic etiologies of the longitudinal relations between prereading skills and reading and spelling. Twin pairs (n = 489) were assessed before kindergarten (M = 4.9 years), post‐first grade (M = 7.4 years), and post‐fourth grade (M = 10.4 years). Genetic influences on five prereading skills (print knowledge, rapid naming, phonological awareness, vocabulary, and verbal memory) were primarily responsible for relations with word reading and spelling. However, relations with post‐fourth‐grade reading comprehension were due to both genetic and shared environmental influences. Genetic and shared environmental influences that were common among the prereading variables covaried with reading and spelling, as did genetic influences unique to verbal memory (only post‐fourth‐grade comprehension), print knowledge, and rapid naming.  相似文献   

13.
The present study addresses girls’ (6–7-year-olds; N = 162) early spatial and arithmetic skills within the context of learning environments provided by their mothers. The study was designed to determine the relationship between maternal supportive interactions on a joint origami spatial problem-solving task and their first grade daughters’ spatial and arithmetic skills. During home visits the mothers and daughters were videotaped jointly solving origami tasks with maternal supportive interactions assessed through ratings of maternal stimulation of cognitive development and maternal quality of assistance; the girls were separately assessed in school on spatial and arithmetic skills. Using structural equation modeling, the main findings were (1) maternal supportive interactions on a mother–child origami task mediated the relation between mothers’ spatial skills/educational level and their daughters’ spatial skills and (2) their daughters’ spatial skills in turn mediated the relation between quality of maternal supportive spatial interactions and the daughters’ arithmetic achievement. The present findings indicate the importance of early maternal supportive interactions relating to spatial problem solving for girls’ spatial and arithmetic achievement. Furthermore, all pathways linking girls’ home environments and arithmetic skills were mediated through the girls’ spatial skills, suggesting that for young girls, development of early spatial skills may be important for effective arithmetic learning.  相似文献   

14.
This meta-analysis examined associations between the quantity and quality of parental linguistic input and children’s language. Pooled effect size for quality (i.e., vocabulary diversity and syntactic complexity; k = 35; N = 1,958; r = .33) was more robust than for quantity (i.e., number of words/tokens/utterances; k = 33; N = 1,411; r = .20) of linguistic input. For quality and quantity of parental linguistic input, effect sizes were stronger when input was observed in naturalistic contexts compared to free play tasks. For quality of parental linguistic input, effect sizes also increased as child age and observation length increased. Effect sizes were not moderated by socioeconomic status or child gender. Findings highlight parental linguistic input as a key environmental factor in children’s language skills.  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.
This study examined the associations of phonological processing skills with reading and arithmetic ability in Chinese kindergartners (Mage = 5.56 years), third graders (Mage = 9.72 years), and fifth graders (Mage = 11.75 years) (N = 413) of Han descent. The results showed that phonological awareness and rapid automatized naming (RAN) showed stronger relations than phonological memory with reading and arithmetic across grades. Furthermore, the associations of phonological awareness and RAN with reading were much stronger in kindergartners than in primary school children, whereas their relationships with arithmetic remained stable across grades. Among phonological skills, phonological awareness has a unique influence on arithmetic that is independent of Chinese character reading in third-graders and kindergartners. In contrast, RAN uniquely explained the variation in arithmetic skills in fifth graders when reading was statistically controlled for. These findings have important implications for understanding the co-development of reading and arithmetic across grades and raise the possibility of training in phonological awareness and/or RAN to help children at risk for learning disabilities.  相似文献   

17.
Through five waves of data collection, this longitudinal study investigated the development of spatial skills in 304 elementary school children (Mage = 7.64 years) as they progressed from the second to fourth grade. The study focused on whether multiple latent classes with different developmental profiles best explain development. Spatial skills were measured by tests featuring two‐dimensional figures. Mathematics achievement was measured by the statewide end‐of‐year test and was included as a distal outcome variable. The role of covariates, including socioeconomic status, verbal working memory, and gender, was also explored. The results indicate a need to view two‐dimensional spatial skills development as multidimensional with two developmental profiles predicted by socioeconomic status, verbal working memory, and gender. The developmental profiles predicted differences in mathematics achievement.  相似文献   

18.
Few studies have examined the long-term relations between children's early spatial skills and their later mathematical abilities. In the current study, we investigated children's developmental trajectories of spatial skills across four waves from age 3–7 years and their association with children's later mathematical understanding. We assessed children's development in a large, heterogeneous sample of children (N = 586) from diverse cultural backgrounds and mostly low-income homes. Spatial and mathematical skills were measured using standardized assessments. Children's starting points and rate of growth in spatial skills were investigated using latent growth curve models. We explored the influence of various covariates on spatial skill development and found that socioeconomic status, language skills, and sex, but not migration background predicted children's spatial development. Furthermore, our findings showed that children's initial spatial skills––but not their rate of growth––predicted later mathematical understanding, indicating that early spatial reasoning may play a crucial role for learning mathematics.  相似文献   

19.
This study set out to develop and test a pathway model of the relations between general cognitive skills, specifically visual-spatial and spoken and written language skills, and competence in three forms of arithmetic that vary in modes of number representation. A total of 88 Chinese 4-year-olds participated and were tested first in kindergarten second grade (K2) and then in kindergarten third grade (K3). Language skills, including phonological, morphological, and visual-orthographic skills, and visual-spatial skills were measured at K2, and arithmetic outcomes, including written arithmetic, word problems, and nonsymbolic arithmetic, at K3. The results generally supported our model. Specifically, visual-spatial skills contributed to the prediction of all three types of arithmetic outcomes. Morphological skills predicted word problems, whereas phonological skills predicted written arithmetic. Finally, visual-orthographic skills contributed to both written and nonsymbolic arithmetic. These findings underscore the importance of delineating the specificity of cognitive processes in learning diverse forms of arithmetic.  相似文献   

20.
Longitudinal associations of domain‐general and numerical competencies with individual differences in children's understanding of fractions were investigated. Children (n = 163) were assessed at 6 years of age on domain‐general (nonverbal reasoning, language, attentive behavior, executive control, visual‐spatial memory) and numerical (number knowledge) competencies; at 7 years on whole‐number arithmetic computations and number line estimation; and at 10 years on fraction concepts. Mediation analyses controlling for general mathematics ability and general academic ability revealed that numerical and mathematical competencies were direct predictors of fraction concepts, whereas domain‐general competencies supported the acquisition of fraction concepts via whole‐number arithmetic computations or number line estimation. Results indicate multiple pathways to fraction competence.  相似文献   

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