Can preschoolers learn the syntax of number? Using rules to combine familiar and novel number words.
Although children can combine words to express meanings like 'red house' or 'two cats', they do not represent number words compositionally (e.g. 'twenty-six' as 6+20) until late in development. One reason for this might be that smaller number words in most languages are not composed via rules, limiting children's exposure to the syntactic structure underlying larger number words. However, historically, many languages have featured number systems with smaller bases or anchors, thus relying more on rules to represent smaller numbers. Might children acquire rules for combining numbers sooner, when exposed to evidence of such rules? We explored this in two experiments. In experiment 1, children learned a system anchored at 2, and many children could compose small number words using a conjunctive rule-e.g. 'two-and-one apples'. Some older children could also comprehend novel multiplicative expressions-e.g. 'two twos of bananas'. Experiment 2 found that children applied additive rules even to a system of novel number words ('Monkey numbers') anchored at three. We suggest that children can acquire rules for composing number words when made salient in their input, sometimes even before they learn how to accurately count large sets.This article is part of the theme issue 'A solid base for scaling up: the structure of numeration systems'.
- Dataset
- 10.1037/e520592012-477
- Jan 1, 2010
- PsycEXTRA Dataset
Although number words are common in everyday speech, for most children, learning these words is an arduous, drawn out process.Here we present a formal, computational analysis of number learning that suggests that the unhelpful structure of the linguistic input available to children may be a large contributor to this delay, and that manipulating this structure should greatly facilitate learning.A training-experiment with three-year olds confirms these predictions, demonstrating that significant, rapid gains in numerical understanding and competence are possible given appropriately structured training.At the same time, the experiment illustrates how little benefit children derive from the usual training that parents and educators provide.Given the efficacy of our intervention, the ease with which it can be adopted by parents, and the large body of research showing how strongly early numerical ability predicts later educational outcomes, this simple discovery could have potentially far-reaching import.
- Research Article
106
- 10.1002/14651858.cd001746.pub4
- Jan 31, 2018
- The Cochrane database of systematic reviews
Children's exposure to other people's tobacco smoke (environmental tobacco smoke, or ETS) is associated with a range of adverse health outcomes for children. Parental smoking is a common source of children's exposure to ETS. Older children in child care or educational settings are also at risk of exposure to ETS. Preventing exposure to ETS during infancy and childhood has significant potential to improve children's health worldwide. To determine the effectiveness of interventions designed to reduce exposure of children to environmental tobacco smoke, or ETS. We searched the Cochrane Tobacco Addiction Group Specialised Register and conducted additional searches of the Cochrane Central Register of Controlled Trials (CENTRAL), MEDLINE, PsycINFO, Embase, the Cumulative Index to Nursing and Allied Health Literature (CINAHL), the Education Resource Information Center (ERIC), and the Social Science Citation Index & Science Citation Index (Web of Knowledge). We conducted the most recent search in February 2017. We included controlled trials, with or without random allocation, that enrolled participants (parents and other family members, child care workers, and teachers) involved in the care and education of infants and young children (from birth to 12 years of age). All mechanisms for reducing children's ETS exposure were eligible, including smoking prevention, cessation, and control programmes. These include health promotion, social-behavioural therapies, technology, education, and clinical interventions. Two review authors independently assessed studies and extracted data. Due to heterogeneity of methods and outcome measures, we did not pool results but instead synthesised study findings narratively. Seventy-eight studies met the inclusion criteria, and we assessed all evidence to be of low or very low quality based on GRADE assessment. We judged nine studies to be at low risk of bias, 35 to have unclear overall risk of bias, and 34 to have high risk of bias. Twenty-one interventions targeted populations or community settings, 27 studies were conducted in the well-child healthcare setting and 26 in the ill-child healthcare setting. Two further studies conducted in paediatric clinics did not make clear whether visits were made to well- or ill-children, and another included visits to both well- and ill-children. Forty-five studies were reported from North America, 22 from other high-income countries, and 11 from low- or middle-income countries. Only 26 of the 78 studies reported a beneficial intervention effect for reduction of child ETS exposure, 24 of which were statistically significant. Of these 24 studies, 13 used objective measures of children's ETS exposure. We were unable to pinpoint what made these programmes effective. Studies showing a significant effect used a range of interventions: nine used in-person counselling or motivational interviewing; another study used telephone counselling, and one used a combination of in-person and telephone counselling; three used multi-component counselling-based interventions; two used multi-component education-based interventions; one used a school-based strategy; four used educational interventions, including one that used picture books; one used a smoking cessation intervention; one used a brief intervention; and another did not describe the intervention. Of the 52 studies that did not show a significant reduction in child ETS exposure, 19 used more intensive counselling approaches, including motivational interviewing, education, coaching, and smoking cessation brief advice. Other interventions consisted of brief advice or counselling (10 studies), feedback of a biological measure of children's ETS exposure (six studies), nicotine replacement therapy (two studies), feedback of maternal cotinine (one study), computerised risk assessment (one study), telephone smoking cessation support (two studies), educational home visits (eight studies), group sessions (one study), educational materials (three studies), and school-based policy and health promotion (one study). Some studies employed more than one intervention. 35 of the 78 studies reported a reduction in ETS exposure for children, irrespective of assignment to intervention and comparison groups. One study did not aim to reduce children's tobacco smoke exposure but rather sought to reduce symptoms of asthma, and found a significant reduction in symptoms among the group exposed to motivational interviewing. We found little evidence of difference in effectiveness of interventions between the well infant, child respiratory illness, and other child illness settings as contexts for parental smoking cessation interventions. A minority of interventions have been shown to reduce children's exposure to environmental tobacco smoke and improve children's health, but the features that differentiate the effective interventions from those without clear evidence of effectiveness remain unclear. The evidence was judged to be of low or very low quality, as many of the trials are at a high risk of bias, are small and inadequately powered, with heterogeneous interventions and populations.
- Research Article
332
- 10.1002/14651858.cd001746.pub3
- Mar 1, 2014
- The Cochrane database of systematic reviews
Children's exposure to other people's cigarette smoke (environmental tobacco smoke, or ETS) is associated with a range of adverse health outcomes for children. Parental smoking is a common source of children's exposure to ETS. Older children are also at risk of exposure to ETS in child care or educational settings. Preventing exposure to cigarette smoke in infancy and childhood has significant potential to improve children's health worldwide. To determine the effectiveness of interventions aiming to reduce exposure of children to ETS. We searched the Cochrane Tobacco Addiction Group Specialized Register and conducted additional searches of the Cochrane Central Register of Controlled Trials (CENTRAL), MEDLINE, PsycINFO, EMBASE, CINAHL, ERIC, and The Social Science Citation Index & Science Citation Index (Web of Knowledge). Date of the most recent search: September 2013. Controlled trials with or without random allocation. Interventions must have addressed participants (parents and other family members, child care workers and teachers) involved with the care and education of infants and young children (aged 0 to 12 years). All mechanisms for reduction of children's ETS exposure, and smoking prevention, cessation, and control programmes were included. These include health promotion, social-behavioural therapies, technology, education, and clinical interventions. Two authors independently assessed studies and extracted data. Due to heterogeneity of methodologies and outcome measures, no summary measures were possible and results were synthesised narratively. Fifty-seven studies met the inclusion criteria. Seven studies were judged to be at low risk of bias, 27 studies were judged to have unclear overall risk of bias and 23 studies were judged to have high risk of bias. Seven interventions were targeted at populations or community settings, 23 studies were conducted in the 'well child' healthcare setting and 24 in the 'ill child' healthcare setting. Two further studies conducted in paediatric clinics did not make clear whether the visits were to well or ill children, and another included both well and ill child visits. Thirty-six studies were from North America, 14 were in other high income countries and seven studies were from low- or middle-income countries. In only 14 of the 57 studies was there a statistically significant intervention effect for child ETS exposure reduction. Of these 14 studies, six used objective measures of children's ETS exposure. Eight of the studies had a high risk of bias, four had unclear risk of bias and two had a low risk of bias. The studies showing a significant effect used a range of interventions: seven used intensive counselling or motivational interviewing; a further study used telephone counselling; one used a school-based strategy; one used picture books; two used educational home visits; one used brief intervention and one study did not describe the intervention. Of the 42 studies that did not show a significant reduction in child ETS exposure, 14 used more intensive counselling or motivational interviewing, nine used brief advice or counselling, six used feedback of a biological measure of children's ETS exposure, one used feedback of maternal cotinine, two used telephone smoking cessation advice or support, eight used educational home visits, one used group sessions, one used an information kit and letter, one used a booklet and no smoking sign, and one used a school-based policy and health promotion. In 32 of the 57 studies, there was reduction of ETS exposure for children in the study irrespective of assignment to intervention and comparison groups. One study did not aim to reduce children's tobacco smoke exposure, but rather aimed to reduce symptoms of asthma, and found a significant reduction in symptoms in the group exposed to motivational interviewing. We found little evidence of difference in effectiveness of interventions between the well infant, child respiratory illness, and other child illness settings as contexts for parental smoking cessation interventions. While brief counselling interventions have been identified as successful for adults when delivered by physicians, this cannot be extrapolated to adults as parents in child health settings. Although several interventions, including parental education and counselling programmes, have been used to try to reduce children's tobacco smoke exposure, their effectiveness has not been clearly demonstrated. The review was unable to determine if any one intervention reduced parental smoking and child exposure more effectively than others, although seven studies were identified that reported motivational interviewing or intensive counselling provided in clinical settings was effective.
- Research Article
- 10.1007/s10508-025-03177-4
- Jun 1, 2025
- Archives of sexual behavior
Children's exposure to pornography is a global issue and Ghana is no exception. Despite its negative repercussions, limited studies in Ghana use nationally representative data to examine children's exposure to pornography. Therefore, this study examined the prevalence of children's exposure to pornography, sources of children's initial exposure to pornography, children's reactions after initial exposure to pornography, persons to whom children reported their initial exposure to pornography, predictors of children's exposure to pornography, and the measures implemented to prevent children's exposure to pornography. A cross-sectional convergent parallel mixed method was used to study 5,024 children aged 8 to 17 years. The quantitative data were analyzed using descriptive statistics, Pearson's chi-square test, and binary logistics regression, while the qualitative data were analyzed thematically. The result showed that 37.7% of children were exposed to pornography. Male children, older children, Christian and Muslim children, and children with access to computers and television were more likely to be exposed to pornography. Browsing online and social media use were the primary sources of children's initial exposure to pornography. Children felt sad and confused, shocked and surprised, and curious when they first encountered pornographic material. Most children spoke to their friends after their initial exposure to pornography. Hence, policymakers need to monitor and regulate the digital space to tackle children's exposure to pornography.
- Research Article
17
- 10.1177/1747021819892165
- Dec 9, 2019
- Quarterly Journal of Experimental Psychology
The linguistic structure of number words can influence performance in basic numerical tasks such as mental calculation, magnitude comparison, and transcoding. Especially the presence of ten-unit inversion in number words seems to affect number processing. Thus, at the beginning of formal math education, young children speaking inverted languages tend to make relatively more errors in transcoding. However, it remains unknown whether and how inversion affects transcoding in older children and adults. Here we addressed this question by assessing two-digit number transcoding in adults and fourth graders speaking French and German, that is, using non-inverted and inverted number words, respectively. We developed a novel transcoding paradigm during which participants listened to two-digit numbers and identified the heard number among four Arabic numbers. Critically, the order of appearance of units and tens in Arabic numbers was manipulated mimicking the "units-first" and "tens-first" order of German and French. In a third "simultaneous" condition, tens and units appeared at the same time in an ecological manner. Although language did not affect overall transcoding speed in adults, we observed that German-speaking fourth graders were globally slower than their French-speaking peers, including in the "simultaneous" condition. Moreover, French-speaking children were faster in transcoding when the order of digit appearance was congruent with their number-word system (i.e., "tens-first" condition) while German-speaking children appeared to be similarly fast in the "units-first" and "tens-first" conditions. These findings indicate that inverted languages still impose a cognitive cost on number transcoding in fourth graders, which seems to disappear by adulthood. They underline the importance of language in numerical cognition and suggest that language should be taken into account during mathematics education.
- Research Article
1248
- 10.1016/0010-0277(90)90003-3
- Aug 1, 1990
- Cognition
Children's understanding of counting
- Research Article
36
- 10.1016/j.neuroimage.2015.07.045
- Jul 28, 2015
- NeuroImage
Neural correlates of merging number words
- Research Article
3
- 10.1111/desc.13556
- Aug 6, 2024
- Developmental science
Symbolic numeracy first emerges as children learn the meanings of number words and how to use them to precisely count sets of objects. This development starts before children enter school and forms a foundation for lifelong mathematics achievement. Despite its importance, exactly how children acquire this basic knowledge is unclear. Here we test competing theories of early number learning by measuring event-related brain potentials during a novel number word-quantity comparison task in 3-4-year-old preschool children (N=128). We find several qualitative differences in neural processing of number by conceptual stage of development. Specifically, we find differences in early attention-related parietal electrophysiology (N1), suggesting that less conceptually advanced children process arrays as individual objects and more advanced children distribute attention over the entire set. Subsequently, we find that only more conceptually advanced children show later-going frontal (N2) sensitivity to the numerical-distance relationship between the number word and visual quantity. The nature of this response suggested thatexact rather than approximate numerical meanings were being associated with number words over frontal sites. No evidence of numerical distance effects was observed over posterior scalp sites. Together these results suggest that children may engage parallel individuation of objects to learn the meanings of the first few number words, but, ultimately, create new exact cardinal value representations for number words that cannot be defined in terms of core, nonverbal number systems. More broadly, these results document an interaction between attentional and general cognitive mechanisms in cognitive development. RESEARCH HIGHLIGHTS: Conceptual development in numeracy is associated with a shift in attention from objects to sets. Children acquire meanings of the first few number words through associations with parallel attentional individuation of objects. Understanding of cardinality is associated with attentional processing of sets rather than individuals. Brain signatures suggest children attribute exact rather than approximate numerical meanings to the first few number words. Number-quantity relationship processing for the first few number words is evident in frontal but not parietal scalp electrophysiology of young children.
- Research Article
23
- 10.1162/jocn_a_00631
- Sep 1, 2014
- Journal of Cognitive Neuroscience
Little is known about the neural underpinnings of number word comprehension in young children. Here we investigated the neural processing of these words during the crucial developmental window in which children learn their meanings and asked whether such processing relies on the Approximate Number System. ERPs were recorded as 3- to 5-year-old children heard the words one, two, three, or six while looking at pictures of 1, 2, 3, or 6 objects. The auditory number word was incongruent with the number of visual objects on half the trials and congruent on the other half. Children's number word comprehension predicted their ERP incongruency effects. Specifically, children with the least number word knowledge did not show any ERP incongruency effects, whereas those with intermediate and high number word knowledge showed an enhanced, negative polarity incongruency response (N(inc)) over centroparietal sites from 200 to 500 msec after the number word onset. This negativity was followed by an enhanced, positive polarity incongruency effect (P(inc)) that emerged bilaterally over parietal sites at about 700 msec. Moreover, children with the most number word knowledge showed ratio dependence in the P(inc) (larger for greater compared with smaller numerical mismatches), a hallmark of the Approximate Number System. Importantly, a similar modulation of the P(inc) from 700 to 800 msec was found in children with intermediate number word knowledge. These results provide the first neural correlates of spoken number word comprehension in preschoolers and are consistent with the view that children map number words onto approximate number representations before they fully master the verbal count list.
- Research Article
22
- 10.1037/xge0000715
- Jul 1, 2020
- Journal of Experimental Psychology: General
It has been suggested that the origins of number words can be traced back to an evolutionarily ancient approximate number system, which represents quantities on a compressed scale and complies with Weber's law. Here, we use a data-driven computational model, which learns to predict 1 event (a word in a text corpus) from associated events, to characterize verbal behavior relative to number words in natural language, without appeal to perception. We show that the way humans use number words in spontaneous language reliably depends on numerical ratio-a clear signature of Weber's law-thus, perfectly mirroring the human and nonhuman psychophysical performance in comparative judgments of numbers. Most notably, the adherence to Weber's law is robustly replicated in a wide range of different languages. Together, these findings suggest that the everyday use of number words in language rests upon a preverbal approximate number system, which would affect the handling of numerical information not only at the input level but also at the level of verbal production. (PsycInfo Database Record (c) 2020 APA, all rights reserved).
- Research Article
37
- 10.13092/lo.43.411
- Jul 1, 2010
- Linguistik Online
This study intends to bring Ifẹ̀ (Togo) into a linguistic limelight using the numeral systems. Numerals are a very important aspect of the day to day socio-economic and linguistic life of Ifẹ̀ (Togo) people. The traditional Ifẹ̀ (Togo) number system is vigesimal. In this study, forty-two different number words are listed for Yorùbá Ifẹ̀ (Nigeria) and Yorùbá Ifẹ̀ (Togo) and compared with Standard Yorùbá. We compared the Ifẹ̀ (Togo) number words and counting patterns with that of the Standard Yorùbá and Ifẹ̀ (Nigeria) and discovered that, by the nature of the components of these numbers, majority of the basic number words are either bisyllabic or trisyllabic, each syllable having the form VCV for the cardinals, and CVCV for the ordinals. There are irregularities in tonality; there are also alternations in the sequences of the vowel (oral and nasalized) and consonant sounds. This work finds out that Ifẹ̀ (Togo) has two counting patterns. In the first pattern, it uses addition solely to derive the number words but with a counting pattern where 'ten', 'twenty' and the added number units are taken as a whole. In the second counting pattern, subtraction is used to derive number words but this is applicable only to three numbers i. e. seventeen – /mɛ́ɛtadínóɡú/, eighteen – /méèʤìdínóɡu/ and nineteen – /mɔ̀kɔ̃dínóɡu/. The Ifẹ̀ (Togo) dialect of Yorùbá mostly uses additive number positions. The dialect favours additive number positions more than the subtractive and the multiplicative positions. In other words, higher numbers are frequently used as bases for addition not as bases for multiplication in Ifẹ̀ (Togo). There are many linguistic variations in the number words employed by Ifẹ̀ (Togo) and Ifẹ̀ (Nigeria) dialects of Yorùbá, such variations can be attributed to changes in time and distance.
- Research Article
5
- 10.1098/rstb.2020.0206
- Mar 22, 2021
- Philosophical Transactions of the Royal Society B: Biological Sciences
For over 100 years, researchers from various disciplines have been enthralled and occupied by the study of number words. This article discusses implications for the study of deep history and human evolution that arise from this body of work. Phylogenetic modelling shows that low-limit number words are preserved across thousands of years, a pattern consistently observed in several language families. Cross-linguistic frequencies of use and experimental studies also point to widespread homogeneity in the use of number words. Yet linguistic typology and field documentation reports caution against positing a privileged linguistic category for number words, showing a wealth of variation in how number words are encoded across the world. In contrast with low-limit numbers, the higher numbers are characterized by a rapid and morphologically consistent pattern of expansion, and behave like grammatical phrasal units, following language-internal rules. Taken together, the evidence suggests that numbers are at the cross-roads of language history. For languages that do have productive and consistent number systems, numerals one to five are among the most reliable available linguistic fossils of deep history, defying change yet still bearing the marks of the past, while higher numbers emerge as innovative tools looking to the future, derived using language-internal patterns and created to meet the needs of modern speakers. This article is part of the theme issue 'Reconstructing prehistoric languages'.
- Research Article
- 10.1016/j.cognition.2026.106529
- Aug 1, 2026
- Cognition
Linguistic experiential priors account for notation-dependent numerical representations.
- Research Article
70
- 10.1016/j.apr.2015.06.007
- Oct 21, 2015
- Atmospheric Pollution Research
Indoor air quality in urban nursery schools in Gliwice, Poland: Analysis of the case study
- Research Article
- 10.6084/m9.figshare.1367560.v2
- Apr 4, 2015
- Figshare
SRCD 2015 Poster