scholarly journals Cross-linguistic patterns in the acquisition of quantifiers

2016 ◽  
Vol 113 (33) ◽  
pp. 9244-9249 ◽  
Author(s):  
Napoleon Katsos ◽  
Chris Cummins ◽  
Maria-José Ezeizabarrena ◽  
Anna Gavarró ◽  
Jelena Kuvač Kraljević ◽  
...  
Keyword(s):  
Cultural Practices ◽  
Number Word ◽  
Negative Concord ◽  
Number Words ◽  
Word Acquisition ◽  
Linguistic Patterns ◽  
Specific Meaning ◽  
Specific Factors ◽  
And Gender ◽  
Perceptual Systems

Learners of most languages are faced with the task of acquiring words to talk about number and quantity. Much is known about the order of acquisition of number words as well as the cognitive and perceptual systems and cultural practices that shape it. Substantially less is known about the acquisition of quantifiers. Here, we consider the extent to which systems and practices that support number word acquisition can be applied to quantifier acquisition and conclude that the two domains are largely distinct in this respect. Consequently, we hypothesize that the acquisition of quantifiers is constrained by a set of factors related to each quantifier’s specific meaning. We investigate competence with the expressions for “all,” “none,” “some,” “some…not,” and “most” in 31 languages, representing 11 language types, by testing 768 5-y-old children and 536 adults. We found a cross-linguistically similar order of acquisition of quantifiers, explicable in terms of four factors relating to their meaning and use. In addition, exploratory analyses reveal that language- and learner-specific factors, such as negative concord and gender, are significant predictors of variation.

scholarly journals How children interface number words with perceptual magnitudes

2020 ◽  
Author(s):  
Denitza Dramkin ◽  
Darko Odic
Keyword(s):  
Individual Differences ◽  
Number Word ◽  
General Process ◽  
Estimation Performance ◽  
Number Words ◽  
Verbal Estimation ◽  
Length And Area ◽  
Perceptual Systems ◽  
Symbolic Number

How do children map symbolic number words to continuous and noisy perceptual magnitudes? We explore how 5- to 12-year-olds attach novel units to number, length, and area by examining whether verbal estimation performance is primarily predicted by access to number words, the precision of children’s underlying perceptual systems, or a more general process in structurally aligning number words with perceptual magnitudes. We find that from age five onward, children can readily form novel mappings between number words and perceptual magnitudes, including dimensions they have no experience estimating in (e.g., length, area), and even when faced with completely novel units (e.g., mapping a collection of three dots to “one” unit for number). Additionally, estimation performance was poorly predicted by the noise in their underlying perceptual magnitudes and number word access. Instead, we show that individual differences in children’s abilities to translate continuous perceptual signals into discrete categories underlie verbal estimation performance.

scholarly journals Language, procedures, and the non-perceptual origin of number word meanings

2017 ◽  
Vol 44 (3) ◽  
pp. 553-590 ◽  
Author(s):  
DAVID BARNER
Keyword(s):  
Building Blocks ◽  
Independent Learning ◽  
Learning Problems ◽  
Number Word ◽  
Word Meanings ◽  
Number Words ◽  
Perceptual Representations ◽  
Children First ◽  
Positive Integers ◽  
Perceptual Systems

AbstractPerceptual representations of objects and approximate magnitudes are often invoked as building blocks that children combine to acquire the positive integers. Systems of numerical perception are either assumed to contain the logical foundations of arithmetic innately, or to supply the basis for their induction. I propose an alternative to this framework, and argue that the integers are not learned from perceptual systems, but arise to explain perception. Using cross-linguistic and developmental data, I show that small (~1–4) and large (~5+) numbers arise both historically and in individual children via distinct mechanisms, constituting independent learning problems, neither of which begins with perceptual building blocks. Children first learn small numbers using the same logic that supports other linguistic number marking (e.g. singular/plural). Years later, they infer the logic of counting from the relations between large number words and their roles in blind counting procedures, only incidentally associating number words with approximate magnitudes.

Language, procedures, and the non-perceptual origin of natural number concepts

2016 ◽  
Author(s):  
David Barner
Keyword(s):  
General Framework ◽  
Ad Hoc ◽  
Building Blocks ◽  
Number Words ◽  
Linguistic Markers ◽  
Logical Foundations ◽  
Large Numbers ◽  
Perceptual Representations ◽  
Positive Integers ◽  
Perceptual Systems

Perceptual representations – e.g., of objects or approximate magnitudes –are often invoked as building blocks that children combine with linguisticsymbols when they acquire the positive integers. Systems of numericalperception are either assumed to contain the logical foundations ofarithmetic innately, or to supply the basis for their induction. Here Ipropose an alternative to this general framework, and argue that theintegers are not learned from perceptual systems, but instead arise toexplain perception as part of language acquisition. Drawing oncross-linguistic data and developmental data, I show that small numbers(1-4) and large numbers (~5+) arise both historically and in individualchildren via entirely distinct mechanisms, constituting independentlearning problems, neither of which begins with perceptual building blocks.Specifically, I propose that children begin by learning small numbers(i.e., *one, two, three*) using the same logical resources that supportother linguistic markers of number (e.g., singular, plural). Several yearslater, children discover the logic of counting by inferring the logicalrelations between larger number words from their roles in blind countingprocedures, and only incidentally associate number words with perception ofapproximate magnitudes, in an *ad hoc* and highly malleable fashion.Counting provides a form of explanation for perception but is not causallyderived from perceptual systems.

Numerical symbols as explanations of human perceptual experience

2018 ◽  
Author(s):  
David Barner
Keyword(s):  
Perceptual Experience ◽  
Number Words ◽  
The World ◽  
Symbolic Systems ◽  
Perceptual Systems

Why did humans develop precise systems for measuring experience, like numbers, clocks, andcalendars? I argue that precise representational systems were constructed by earlier generationsof humans because they recognized that their noisy perceptual systems were not capturingdistinctions that existed in the world. Abstract symbolic systems did not arise from perceptualrepresentations, but instead were constructed to describe and explain perceptual experience. Byanalogy, I argue that when children learn number words, they do not rely on noisy perceptualsystems, but instead acquire these words as units in a broader system of procedures, whosemeanings are ultimately defined by logical relations to one another, not perception.

scholarly journals The association between number magnitude and space is dependent on notation: Evidence from an adaptive perceptual orientation task

2019 ◽  
Vol 5 (1) ◽  
pp. 38-54
Author(s):  
Tianwei Gong ◽  
Baichen Li ◽  
Limei Teng ◽  
Zijun Zhou ◽  
Xuefei Gao ◽  
...  
Keyword(s):  
Judgment Task ◽  
Snarc Effect ◽  
Number Word ◽  
Reaction Time Difference ◽  
Number Words ◽  
Number Magnitude ◽  
Spatial Response ◽  
Orientation Task ◽  
Arabic Digits ◽  
Perceptual Orientation

Research on adults' numerical abilities suggests that number representations are spatially oriented. This association of numbers with spatial response is referred to as the SNARC (i.e., spatial–numerical association of response codes) effect. The notation-independence hypothesis of numeric processing predicts that the SNARC effect will not vary with notation (e.g., Arabic vs. number word). To test such assumption, the current study introduced an adaptive experimental procedure based on a simple perceptual orientation task that can automatically smooth out the mean reaction time difference between Arabic digits and traditional Chinese number. We found that the SNARC effect interacted with notation, showing a SNARC effect for Arabic digits, but not for verbal number words. The results of this study challenged the commonly held view that notation does not affect numerical processes associated with spatial representations. We introduced a parallel model to explain the notation-dependent SNARC effect in the perceptual orientation judgment task.

Germanness or Rights? Second Generation Young Adults and Citizenship in Contemporary Germany

2013 ◽  
Vol 31 (2) ◽  
pp. 30-48 ◽  
Author(s):  
Daniel Williams
Keyword(s):  
Young Adults ◽  
Young Adult ◽  
Second Generation ◽  
Cultural Practices ◽  
National Origin ◽  
National Belonging ◽  
Citizenship Status ◽  
Transnational Ties ◽  
And Gender ◽  
Adult Immigrants

Scholarship on citizenship-in its definition as nationality or formal membership in the state-has been both the basis for evaluating and comparing national citizenships as "ethnocultural" or "civic," and used to imply the meaning of citizenship to prospective citizens, particularly immigrants and non-citizen residents. Doing so ignores a perspective on citizenship "from below," and oversimplifies the multiplicity of meanings that individuals may attach to citizenship. This article seeks to fill this gap in scholarship by examining young adult second-generation descendants of immigrants in Germany. The second generation occupies a unique position for examining the meaning of citizenship, based on the fact that they were born and grew up in Germany, and are thus more likely than adult immigrants to be able to become citizens as well as to claim national belonging to Germany. Among the varied meanings of citizenship are rights-based understandings, which are granted to some non-citizens and not others, as well as identitarian meanings which may depend on everyday cultural practices as well as national origin. Importantly, these meanings of citizenship are not arbitrary among the second generation; citizenship status and gender appear to inform understandings of citizenship, while national origin and transnational ties appear to be less significant for the meaning of citizenship.

scholarly journals Inversion effects on mental arithmetic in English- and Polish-speaking adults

2019 ◽  
Vol 73 (1) ◽  
pp. 91-103
Author(s):  
Carolin Annette Lewis ◽  
Julia Bahnmueller ◽  
Marta Wesierska ◽  
Korbinian Moeller ◽  
Silke Melanie Göbel
Keyword(s):  
Mental Arithmetic ◽  
Word Formation ◽  
Place Value ◽  
Number Word ◽  
Problem Size ◽  
Number Range ◽  
Number Words ◽  
Language Groups ◽  
Addition Problem ◽  
The Cost

In some languages the order of tens and units in number words is inverted compared with the symbolic digital notation (e.g., German 23 → “ dreiundzwanzig,” literally: “ three-and-twenty”). In other languages only teen-numbers are inverted (e.g., English 17 → “ seventeen”; Polish 17 → “ siedemnaście” literally “ seventeen”). Previous studies have focused on between group comparisons of inverted and non-inverted languages and showed that number word inversion impairs performance on basic numerical tasks and arithmetic. In two independent experiments, we investigated whether number word inversion affects addition performance within otherwise non-inverted languages (Exp. 1: English, Exp. 2: Polish). In particular, we focused on the influence of inverted ( I; English: teen-numbers ⩾ 13, Polish: numbers 11–19) and non-inverted ( N) summands with sums between 13 and 39. Accordingly, three categories of addition problems were created: N + N, N + I, and I + I with problem size matched across categories. Across both language groups, we observed that problems with results in the 20 and 30 number range were responded to faster when only non-inverted summands were part of the problems as opposed to problems with one or two inverted summands. In line with this, the cost of a carry procedure was the largest for two inverted summands. The results support the notion that both language-specific and language-invariant aspects contribute to addition problem-solving. In particular though, regarding language-specific aspects, the results indicate that inverted number word formation of teens influences place-value processing of Arabic digits even in otherwise non-inverted languages.

The Number Language used by Preschool Children and their Mothers in the Context of Cooking

1996 ◽  
Vol 21 (1) ◽  
pp. 16-20 ◽  
Author(s):  
Jennifer M. Young-Loveridge
Keyword(s):  
Preschool Children ◽  
Mathematics Learning ◽  
Free Play ◽  
Number Word ◽  
Word Use ◽  
Number Words ◽  
Degree Of Control ◽  
The Relationship ◽  
Play Context

The present study was designed to explore the spontaneous use of number language by preschool children and their mothers in the context of cooking. The results show that preschool children use a variety of number words in this context. Mothers made substantially greater use of number words than did their children, possibly because the cooking context required a greater degree of control by the adult than would have been the case in a free-play context. Many instances of number-word use by mothers and by children went unacknowledged by their conversational partners. Although the relationship between children's number word use and that of their mothers was relatively weak (r=.34), there was a considerably stronger relationship between the numbers of reciprocal numeracy episodes and children's number-word use (r=.59). These findings support the idea that contingent responsiveness by adults is important for enhancing children's mathematics learning.

scholarly journals Negotiated order: The groundwork for a theory of offending pathways

2012 ◽  
Vol 12 (4) ◽  
pp. 347-375 ◽  
Author(s):  
Lesley McAra ◽  
Susan McVie
Keyword(s):  
Young People ◽  
Qualitative Data ◽  
Cultural Practices ◽  
Peer Interactions ◽  
Sense Of Self ◽  
Group Norms ◽  
Negotiated Order ◽  
And Gender ◽  
Offending Behaviour ◽  
The Individual

This article explores the role which formal and informal regulatory orders play in the development of offender identity. Drawing on quantitative and qualitative data from the Edinburgh Study of Youth Transitions and Crime, it argues that the cultural practices of formal orders (such as those imposed by schools and the police) and informal orders (such as the rules governing peer interactions) mirror each other in respect of their fundamental dynamics – animated primarily by an inclusionary–exclusionary imperative. Formal orders differentiate between categories of young people on the basis of class and suspiciousness. Informal orders differentiate between individuals on the basis of adherence to group norms, territorial sovereignty, and gender appropriate demeanour. Being excluded by either set of orders undermines the capacity of the individual to negotiate, limits autonomy and constrains choice. This renders the individual more likely to absorb identities ascribed to them with damaging consequences in terms of offending behaviour and the individual’s sense of self.

scholarly journals Psychological Distress among Italian University Students Compared to General Workers during the COVID-19 Pandemic

2021 ◽  
Vol 18 (5) ◽  
pp. 2503
Author(s):  
Annunziata Romeo ◽  
Agata Benfante ◽  
Lorys Castelli ◽  
Marialaura Di Tella
Keyword(s):  
Depressive Symptoms ◽  
University Students ◽  
Psychological Impact ◽  
Health Concern ◽  
Health Evaluation ◽  
Psychological Consequences ◽  
Related Information ◽  
Health Related ◽  
Specific Factors ◽  
And Gender

The COVID-19 pandemic induced numerous changes in the daily life of every individual, with important social, economic, and psychological consequences. Particularly, the psychological impact encountered among students might be affected by social isolation, concern for personal health and for the health of family members and friends, and uncertainty about academic progress. The present study aimed to investigate the psychological impact of the COVID-19 outbreak on Italian university students compared to general workers. The responses of 956 participants (478 university students and 478 workers) were included in the final dataset. Participants were asked to provide sociodemographic and occupation-related information, and to complete: (1) COVID-19-related questions; (2) health-related visual analogue scales; (3) State-Trait Anxiety Inventory-Form Y1 (STAI Y1); and (4) the Beck Depression Inventory (BDI-II). Results of comparisons between university students and general workers revealed that the former reported higher levels of anxiety and depressive symptoms. Furthermore, regression analyses showed that in university students, gender, health evaluation, and health concern and gender, educational level, and health evaluation significantly predicted anxiety and depressive symptoms, respectively. Taken together these findings suggest that specific factors could predispose University students to a high risk of developing mental health symptoms as a consequence of the COVID-19 pandemic.

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