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1.
Numerical processing has been extensively studied by examining the performance on basic number processing tasks, such as number priming, number comparison, and number line estimation. These tasks assess the innate “number sense,” which is assumed to be the breeding ground for later mathematics development. Indeed, several studies have associated children's performance in these tasks with individual differences in mathematical achievement. To date, however, most of these studies have cross‐sectional designs. Moreover, the few longitudinal studies either use complex tasks (e.g., story problems) or investigate only one of these basic number processing tasks at a time. In this study, we examine the association between the performance of children on several basic number processing tasks and their individual math achievement scores on a curriculum‐based test measured 1 year later. Regression analyses showed that most of the variance in children's math achievement was predicted by nonsymbolic number line estimation performance (i.e., estimating large quantities of dots) and, to a lesser extent, the speed of comparing symbolic numbers. This knowledge about the predictive value of the performance of 5‐ to 7‐year‐olds on these markers of number processing can help with the early identification of at‐risk children. In addition, this information can guide appropriate educational interventions. 相似文献
2.
A bulk of evidence supports the association of number line estimations using Arabic digits and dots with math learning. Surprisingly few studies have been conducted to explore the relationship between estimations using number words and mathematics. The present study expands previous findings by investigating estimations in three formats (Arabic digits, dots and number), adding language as predictor and by focusing at timed and untimed math learning. A sample of 132 children was followed from kindergarten till grade 2. Results reveal variability in estimation accuracy and errors declining with age and instruction in all children. In addition, our findings suggest that Arabic numerals have a more linear distribution than number words. Moreover, our findings suggest that language explains variation in kindergarten but not in evolution and, more in particular, untimed math achievement can be predicted by number line estimation. Implications for assessment, prediction of math learning and instruction are discussed. 相似文献
3.
S. Bugden L. Peters N. Nosworthy L. Archibald D. Ansari 《Mind, Brain, and Education》2021,15(1):88-102
Developmental dyscalculia (DD) is a mathematical learning disability that occurs in around 5%–7% of the population. At present, there are only a handful of screening tools to identify children that might be at risk of developing DD. The present study evaluated the classification accuracy of one such tool: The Numeracy Screener, a 2‐min test of symbolic (Arabic numerals) and nonsymbolic (dot arrays) discrimination ability. A sample of 222 children who demonstrated persistent deficits (n = 55), inconsistent deficits (n = 51), or typical performance (n = 116) on standardized tests of math achievement over multiple observations was tested. The Numeracy Screener correctly classified children in all three groups. Notably, the symbolic condition has greater sensitivity in discriminating children with persistent DD from the other two groups. Screening tools that assess early numeracy skills may be promising for identifying children at risk for developing severe mathematical difficulties. 相似文献
4.
Experimentally manipulating Approximate Number System (ANS) precision has been found to influence children’s subsequent symbolic math performance. Here in three experiments (N = 160; 81 girls; 3–5 year old) we replicated this effect and examined its duration and developmental trajectory. We found that modulation of 5-year-olds’ ANS precision continued to affect their symbolic math performance after a 30-min delay. Furthermore, our cross-sectional investigation revealed that children 4.5 years and older experienced a significant transfer effect of ANS manipulation on math performance, whereas younger children showed no such transfer, despite experiencing significant changes in ANS precision. These findings support the existence of a causal link between nonverbal numerical approximation and symbolic math performance that first emerges during the preschool years. 相似文献
5.
The study sought out to extend our knowledge regarding the origin of mathematical learning disabilities (MLD) in children by testing different hypotheses in the same samples of children. Different aspects of cognitive functions and number processing were assessed in fifth- and sixth-graders (11–13 years old) with MLD and compared to controls. The MLD group displayed weaknesses with most aspects of number processing (e.g., subitizing, symbolic number comparison, number-line estimation) and two cognitive functions (e.g., visual–spatial working memory). These findings favor the defective approximate number system (ANS) hypothesis, but do not fit well with the access deficit hypothesis. Support is also provided for the defective object-tracking system (OTS) hypothesis, the domain general cognitive deficit hypothesis and to some extent the defective numerosity-coding hypothesis. The study suggests that MLD might be caused by multiple deficits and not a single core deficit. 相似文献
6.
Donna Kotsopoulos Samantha Makosz Joanna Zambrzycka 《Early education and development》2017,28(8):925-938
Research Findings: In this research we explore the relationship between young children’s number knowledge and their measurement of length. First, we examined 4- to 5-year-olds’ (kindergartners’) understanding of and preference for using standard or nonstandard units to measure length. Second, we investigated whether the following tasks were related to children’s understanding of using standard (i.e., rulers) and nonstandard (i.e., blocks) units to measure length: (a) counting and written number identification knowledge, (b) symbolic or nonsymbolic number magnitude comparison ability, and (c) approximate number line estimation ability. Third, we examined whether understanding these number tasks predicted understanding how to measure length for both standard and nonstandard units. Our results show that young children prefer to use standard units of measurement when given a choice, and some of these children use a ruler correctly. Our results also show an important relationship between children’s understandings of numbers and measurement. Practice or Policy: Given children’s preference for rulers, introducing both nonstandard and standard units in early learning settings concurrently rather than consecutively is recommended for practice. 相似文献
7.
Basic numerical skills provide an important foundation for the learning of mathematics. Thus, it is critical that researchers and educators have access to valid and reliable ways of assessing young children's numerical skills. The purpose of this study was to evaluate the concurrent, predictive, and incremental validity of a two-minute paper-and-pencil measure of children's symbolic (Arabic numerals) and non-symbolic (dot arrays) comparison skills. A sample of kindergarten children (Mage = 5.86, N = 439) were assessed on the measure along with a number line estimation task, a measure of arithmetic, and several control measures. Results indicated that performance on the symbolic comparison task explained unique variance in children's arithmetic performance in kindergarten. Longitudinal analyses demonstrated that both symbolic comparison and number line estimation in kindergarten were independent predictors of 1st grade mathematics achievement. However, only symbolic comparison remained a unique predictor once language skills and processing speed were taken into account. These results suggest that a two-minute paper-and-pencil measure of children's symbolic number comparison is a reliable predictor of children's early mathematics performance. 相似文献
8.
The number-line task has been extensively used to study the mental representation of numbers in children. However, studies suggest that proportional reasoning provides a better account of children’s performance. Ninety 4- to 6-year-olds were given a number-line task with symbolic numbers, with clustered dot arrays that resembled a perceptual scaling task, or with spread-out dot arrays that involved numerical estimation. Children performed well with clustered dot arrays, but poorly with symbolic numbers and spread-out dot arrays. Performances with symbolic numbers and spread-out dot arrays were highly correlated and were related to counting skill; neither was true for clustered dot arrays. Overall, results provide evidence for the role of mental representation of numbers in the symbolic number-line task. 相似文献
9.
Melissa E. Libertus 《Mind, Brain, and Education》2015,9(2):112-120
Research has shown that educated children and adults have access to two ways of representing numerical information: an approximate number system (ANS) that is present from birth and allows for quick approximations of numbers of objects encountered in one's environment, and an exact number system (ENS) that is acquired through experience and instruction, that requires an understanding of language and symbols, and that is at the core of school math abilities. While these two systems are distinct, individual differences in the acuity of the ANS predict later math abilities and advancing the ENS leads to increases in the acuity of the ANS suggesting a reciprocal connection between the two systems. Recently, the focus of the field has turned toward elucidating the mechanisms that underlie this connection, but more work is also needed to understand the sources of individual differences in the ANS and ENS in the first place. 相似文献
10.
This study examined how colored educational tools improve children’s numerosity (“number sense”) and/or mathematics. We tested children 6–10 years (n = 3,236) who had been exposed to colored numbers from the educational tools Numicon (Oxford University Press, 2018) or Numberjacks (Ellis, 2006), which map colors to magnitudes or Arabic numerals, respectively. In a free association task pairing numbers with colors, a subset of children spontaneously provided colors matching one of these schemas. These children, who had internalized Numicon (colored magnitude), showed significantly better numerosity but not mathematics compared to peers. There was no similar benefit from internalizing Numberjacks (colored numerals). These data support a model in which colored number tools provide benefits at different levels of numerical cognition, according to their different levels of cross-modal mappings. 相似文献
11.
Children's intuitive understanding of number, i.e. number sense, is associated with individual differences in mathematics achievement. To investigate the causal association between number sense, traditionally assessed with comparison or number line estimation tasks, and mathematics achievement, often assessed with an arithmetic test, an intervention study was conducted that aimed at training either comparison or number line estimation skills. We contrasted a comparison and number line estimation training. By doing so, we wanted to address the question which intervention had the largest effect on arithmetic. In addition, such a direct comparison between comparison and number line estimation trainings would allow us to get more insight in the association between both tasks. Participants were 151 five-year-olds that were randomly allocated to either an experimental condition (i.e. comparison or number line estimation) or one of the two control conditions (i.e., active control condition and empty control condition) in a pretest-posttest design measuring number knowledge, (non-)symbolic comparison and number line estimation and arithmetic. The results showed that both comparison and number line estimation trainings had a positive effect on arithmetic. However, the absence of transfer effects from one task to another, also suggested that comparison and number line estimation rely on different mechanisms and probably influence arithmetic through different mechanisms. 相似文献
12.
Reading difficulties in Arabic in elementary schoolare usually attributed to the diglossia of the Arabiclanguage, whereby the spoken language is totallydifferent from literary Arabic, the language of booksand school instruction. Educators, teachers, andparents still believe that exposure of young Arabicspeakers to literary Arabic in the preschool period isa burden for them, and is not useful. The presentpost hoc study examined the influence of exposure toliterary Arabic of preschool children on their readingcomprehension of literary Arabic stories in grades 1and 2. Participants in the study were 282children, 135 from grade 1 and 147 from grade 2. Ofthe participants, 144 constituted the experimentalgroup, and were exposed to literary Arabic throughouttheir preschool period. The 138 participants of thecontrol group were exposed not to literary but tospoken Arabic during that period. These children weretested for reading comprehension at the end of grade1 and grade 2 and compared with the control group. The results generally indicate better readingcomprehension results for the children who wereexposed to literary Arabic than for the children whowere exposed only to spoken Arabic. 相似文献
13.
《Learning and Instruction》2007,17(3):336-344
In this study we examined the effects of skill training, in particular mental abacus and music training, on working memory. Two groups of participants—children who had received mental abacus training and their controls—participated in Experiment 1. All participants performed the following span tasks: forward digit span, backward digit span, non-word span, operation span, simple spatial span, and complex spatial span tasks. Children (mean age: 12 years) who had received training exhibited greater simple spatial spans, but not other spans. In Experiment 2, the same span tests were given to groups of children (mean age: 12 years) and adults (mean age: 22 years) who had received music training and to their controls. For adults, the experimental group performed better than the control group with respect to both the digit span and non-word span tests. For children, the experimental group performed better than did the control group in all of the span tests. We discuss our results in terms of the domain-specific effects of skill training on working memory. 相似文献
14.
This study investigated whether different types of ordering skills were related to mathematics achievement in children (n = 100) in middle childhood, after the effects of age, socio-economic status, IQ, and processing speed were taken into account. The relations between ordering skills and magnitude processing were also investigated, as well as the possibility that some of the shared variance between math and reading is explained by ordering abilities. The ordering tasks included the ordering of familiar numerical and non-numerical sequences, a parental report of children’s everyday ordering skills, and an order working memory task. Three magnitude processing tasks (symbolic and non-symbolic comparison and number line estimation), were also administered, as well as measures of inhibition and spatial working memory. From this set of measures, number ordering, order working memory and number line estimation emerged as the most important predictors of mathematics skills. We found that number ordering mediated the effect of both symbolic and non-symbolic comparison skills on mathematics, further confirming that this task captures some essential skills related to mathematics. Additionally, order working memory mediated the effect of both number comparison and reading skills on math. Finally, whereas non-symbolic comparison and number line estimation are considered important indicators of magnitude processing skills, there was no relationship between these abilities, but there was a correlation between each of these abilities and reading skills, with number line estimation also mediating the effect of reading skills on math. These novel findings could contribute to a better understanding of the basic processes underlying math ability, and why math and reading are strongly related in typical populations and in children with learning difficulties. 相似文献
15.
16.
Five-year-old children categorized as skilled versus unskilled counters were given verbal estimation and number word comprehension tasks with numerosities 20-120. Skilled counters showed a linear relation between number words and nonsymbolic numerosities. Unskilled counters showed the same linear relation for smaller numbers to which they could count, but not for larger number words. Further tasks indicated that unskilled counters failed even to correctly order large number words differing by a 2 : 1 ratio, whereas they performed well on this task with smaller numbers, and performed well on a nonsymbolic ordering task with the same numerosities. These findings provide evidence that large, approximate numerosity representations become linked to number words around the time that children learn to count to those words reliably. 相似文献
17.
This study explored the relationship among pre-reading skills, language proficiency, and visual perceptual abilities in 150
children who had been exposed to both English and Arabic (mean age 70 months). Information regarding language proficiency
was gathered indirectly through reports from teachers and parents and directly through children’s test performance. Consequently,
the children were divided into three language dominance groups: stronger in Arabic, stronger in English, or equally strong
in both English and Arabic. The main aim of this study was to determine whether the pre-literacy skills (visual processing
skills, phonological processes, and orthographic knowledge) differed across the three groups and were correlated with langauge
dominance. No significant relationships were found between language dominance and tasks that pertained to phonological awareness
skills, which may support the notion of the transfer of phonological processing skills between languages. Visual processing
and visual memory skills did not differ across language groups, a finding which was expected, as these functions do not directly
pertain to language dominance. However, overall the groups did better on the English orthographic task than on the Arabic
orthography, perhaps because they found Arabic print more visually confusing and demanding than English. 相似文献
18.
Bull R Marschark M Sapere P Davidson WA Murphy D Nordmann E 《Learning and individual differences》2011,21(4):453-457
Deaf students often lag behind hearing peers in numerical and mathematical abilities. Studies of hearing children with mathematical difficulties highlight the importance of estimation skills as the foundation for formal mathematical abilities, but research with adults is limited. Deaf and hearing college students were assessed on the Number-to-Position task as a measure of estimation, and completed standardised assessments of arithmetical and mathematical reasoning. Deaf students performed significantly more poorly on all measures, including making less accurate number-line estimates. For deaf students, there was also a strong relationship showing that those more accurate in making number-line estimates achieved higher scores on the math achievement tests. No such relationship was apparent for hearing students. Further insights into the estimation abilities of deaf individuals should be made, including tasks that require symbolic and non-symbolic estimation and which address the quality of estimation strategies being used. 相似文献
19.
《Scientific Studies of Reading》2013,17(2):115-142
Metaphonological sensitivity to the component sounds of spoken words has been shown to develop in conjunction with alphabetic literacy. It is generally presumed that skilled readers possess and display a high degree of phonemic awareness. Data are presented that challenge this claim and indicate that many mature readers are unexpectedly inaccurate on phonemic awareness tasks. Alternative hypotheses about the nature and development of phonemic sensitivity in children and adults are considered. Implications for teacher training are also discussed. 相似文献
20.
Two experiments examined how imposing a delay between learning and reproducing locations influences children's memory for location. In Experiment 1, ninety-six 7-, 9-, and 11-year-old children and adults learned the locations of 20 objects in an open, square box divided into four regions by opaque walls. During test, participants attempted to place the objects in the correct locations without the aid of the dots that had marked the locations or the boundaries that had divided the space. The test phase began either immediately following learning or following a 12-min delay. As predicted by the Category-Adjustment model, bias toward category centers increased significantly following an intervening delay. Moreover, the magnitude of categorical bias followed a systematic U-shaped developmental pattern. Results from a second study (N = 72) replicated this developmental pattern. Discussion focuses on the implications of these results for understanding how children and adults remember locations. 相似文献