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1.
Beyond Knower Levels: Early partial knowledge of number words
David Barner, Rok Žaucer, Jessica Sullivan, Tina Razboršek, Vesna Plesničar, Katie Wagner, Franc Marušič, 2015, published scientific conference contribution abstract

Abstract: Although both syntax and number words can indicate quantity, only numbers can specify large exact quantities. Do children use syntax to bootstrap preliminary meanings of number words before mastering precise meanings? We compared errors across languages on a Give-a-Number task in non-knowers (who have adult meanings for no number words) and subset knowers (who have adult meanings for fewer than five number words). Participants included learners of English, Spanish, French, and two dialects of Slovenian. One dialect, Central Slovenian, has rich number morphology including singular, dual, small plural, and large plural (for 5+). In all languages, subset knowers and some non-knowers demonstrated better than random responding for at least 2 number words beyond the largest number word they comprehended precisely. Additionally, Central Slovenian-learning non- and 1- knowers responded more accurately to requests for higher numbers than their counterparts in other languages, suggesting that rich plural marking may bootstrap number word meanings.
Found in: ključnih besedah
Keywords: knower level, grammatical number, acquisition of number words, bootstrapping
Published: 21.03.2016; Views: 4106; Downloads: 0
.pdf Fulltext (1,99 MB)

2.
Does Grammatical Structure Accelerate Number Word Learning? Evidence from Learners of Dual and Non-Dual Dialects of Slovenian
Franc Marušič, Rok Žaucer, Vesna Plesničar, Tina Razboršek, Jessica Sullivan, David Barner, 2016, original scientific article

Abstract: How does linguistic structure affect children’s acquisition of early number word meanings? Previous studies have tested this question by comparing how children learning languages with different grammatical representations of number learn the meanings of labels for small numbers, like 1, 2, and 3. For example, children who acquire a language with singular-plural marking, like English, are faster to learn the word for 1 than children learning a language that lacks the singular-plural distinction, perhaps because the word for 1 is always used in singular contexts, highlighting its meaning. These studies are problematic, however, because reported differences in number word learning may be due to unmeasured cross-cultural differences rather than specific linguistic differences. To address this problem, we investigated number word learning in four groups of children from a single culture who spoke different dialects of the same language that differed chiefly with respect to how they grammatically mark number. We found that learning a dialect which features “dual” morphology (marking of pairs) accelerated children’s acquisition of the number word two relative to learning a “non-dual” dialect of the same language.
Found in: ključnih besedah
Keywords: števila, številke, slovnično število, dvojina, narečja, usvajanje, učenje, slovenščina, angleščina, numbers, grammatical number, dual, dialects, acquisition, learning, Slovenian, English
Published: 10.08.2016; Views: 4219; Downloads: 239
.pdf Fulltext (1,38 MB)

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Countability and the structure of numeral-based QPs
Penka Stateva, Artur Stepanov, unpublished invited conference lecture

Found in: ključnih besedah
Summary of found: ...countability, atomicity, numeral, agreement, dual number, classifier, russian, morphology, syntax, semantics...
Keywords: countability, atomicity, numeral, agreement, dual number, classifier, russian, morphology, syntax, semantics
Published: 07.02.2018; Views: 3289; Downloads: 0
.pdf Fulltext (71,77 KB)

5.
Countability, agreement and the loss of the dual in Russian
Artur Stepanov, Penka Stateva, 2018, original scientific article

Found in: ključnih besedah
Summary of found: ...agreement, atomicity, classifier, countability, dual number, numeral, Russian, Bulgarian...
Keywords: agreement, atomicity, classifier, countability, dual number, numeral, Russian, Bulgarian
Published: 21.03.2018; Views: 3290; Downloads: 0
.pdf Fulltext (1,01 MB)

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7.
Condition number estimates for matrices arising in the isogeometric discretizations
K. Gahalaut, Satyendra Tomar, 2012, final research report

Found in: ključnih besedah
Keywords: isogeometric discretization, condition number estimates, NURBS
Published: 13.11.2018; Views: 2296; Downloads: 0
.pdf Fulltext (565,59 KB)

8.
Do children use language structure to discover the recursive rules of counting?
Petra Mišmaš, Priyanka Biswas, Rok Žaucer, Franc Marušič, Jessica Sullivan, Rose M. Schneider, Vesna Plesničar, David Barner, 2020, original scientific article

Abstract: We test the hypothesis that children acquire knowledge of the successor function — a foundational principle stating that every natural number n has a successor n + 1 — by learning the productive linguistic rules that govern verbal counting. Previous studies report that speakers of languages with less complex count list morphology have greater counting and mathematical knowledge at earlier ages in comparison to speakers of more complex languages (e.g., Miller & Stigler, 1987). Here, we tested whether differences in count list transparency affected children’s acquisition of the successor function in three languages with relatively transparent count lists (Cantonese, Slovenian, and English) and two languages with relatively opaque count lists (Hindi and Gujarati). We measured 3.5- to 6.5-year-old children’s mastery of their count list’s recursive structure with two tasks assessing productive counting, which we then related to a measure of successor function knowledge. While the more opaque languages were associated with lower counting proficiency and successor function task performance in comparison to the more transparent languages, a unique within-language analytic approach revealed a robust relationship between measures of productive counting and successor knowledge in almost every language. We conclude that learning productive rules of counting is a critical step in acquiring knowledge of recursive successor function across languages, and that the timeline for this learning varies as a function of count list transparency.
Found in: ključnih besedah
Summary of found: ...a foundational principle stating that every natural number n has a successor n + 1...
Keywords: Cross-linguistic Count list Successor function Natural number concepts Number acquisition Conceptual development
Published: 05.01.2020; Views: 2554; Downloads: 0
.pdf Fulltext (2,38 MB)

9.
Neutrosophic Quadruple BCK/BCI-Algebras
Hashem Bordbar, Young Bae Jun, Florentin Smarandache, Seok-zun Song, 2018, original scientific article

Abstract: The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra, which consists of neutrosophic quadruple BCK/BCI-numbers, is constructed. Several properties are investigated, and a (positive implicative) ideal in a neutrosophic quadruple BCK-algebra and a closed ideal in a neutrosophic quadruple BCI-algebra are studied. Given subsets A and B of a BCK/BCI-algebra, the set NQ(A,B) , which consists of neutrosophic quadruple BCK/BCI-numbers with a condition, is established. Conditions for the set NQ(A,B) to be a (positive implicative) ideal of a neutrosophic quadruple BCK-algebra are provided, and conditions for the set NQ(A,B) to be a (closed) ideal of a neutrosophic quadruple BCI-algebra are given. An example to show that the set {0˜} is not a positive implicative ideal in a neutrosophic quadruple BCK-algebra is provided, and conditions for the set {0˜} to be a positive implicative ideal in a neutrosophic quadruple BCK-algebra are then discussed.
Found in: ključnih besedah
Summary of found: ...The notion of a neutrosophic quadruple BCK/BCI number is considered, and a neutrosophic quadruple BCK/BCI-algebra,...
Keywords: neutrosophic quadruple BCK/BCI-number, neutrosophic quadruple BCK/BCI-algebra, neutrosophic quadruple subalgebra, (positive implicative) neutrosophic quadruple ideal
Published: 01.12.2019; Views: 2237; Downloads: 0
.pdf Fulltext (284,81 KB)

10.
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