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Abstract Research has shown a link between the acquisition of numerical concepts and language, but exactly how linguistic input matters for numerical development remains unclear. Here, we examine both symbolic (number word knowledge) and non-symbolic (numerical discrimination) numerical abilities in a population in which access to language is limited early in development—oral deaf and hard of hearing (DHH) preschoolers born to hearing parents who do not know a sign language. The oral DHH children demonstrated lower numerical discrimination skills, verbal number knowledge, conceptual understanding of the word “more”, and vocabulary relative to their hearing peers. Importantly, however, analyses revealed that group differences in the numerical tasks, but not vocabulary, disappeared when differences in the amount of time children had had auditory access to spoken language input via hearing technology were taken into account. Results offer insights regarding the role language plays in emerging number concepts. 

Abstract Most deaf and hard‐of‐hearing (DHH) children are born to hearing parents and steered toward spoken rather than signed language, introducing a delay in language access. This study investigated the effects of this delay on number acquisition. DHH children (N = 44, mean_age = 58 months, 21F, >50% White) and typically‐hearing (TH) children (N = 79, mean_age = 49 months, 51F, >50% White) were assessed on number and language in 2011–13. DHH children showed similar trajectories to TH children but delayed timing; a binary logistic regression showed that the odds of being a cardinal‐principle (CP) knower were 17 times higher for TH children than DHH children, controlling for age (d = .69). Language fully mediated the association between deaf/hearing group and number knowledge, suggesting that language access sets the pace for number acquisition. 

The morphosyntactic information in grammatical number marking may be a useful cue for children in the process of acquiring number words. A language with dual marking, like Slovenian, may help children to bootstrap the meaning of the word “two” by drawing their attention to sets of two as a referent of language. If the dual marker indeed facilitates number learning, then we hypothesized that “two” should be acquired earlier in populations exposed to the dual marker; the dual should be learned before “two”; and knowledge of the dual form should be correlated with knowledge of “two”. We tested these hypotheses by having Slovenian and English-speaking children complete the Give-a-Number and Give-Morphology tasks. We analyzed the Give-Morphology in a new way, using stricter criteria to determine that children “know” the morphological markers than simple percent correct. In this sample, Slovenian children exposed to the dual marker did not show evidence of knowing “two” (i.e., being 2-knowers) at very young ages or earlier than English-speaking children. Knowledge of the dual marker did not precede nor correlate with the acquisition of “two”; indeed, the dual form was only acquired after the singular and plural. These analyses were conducted using an open data set with more Slovenian 2-knowers, yielding similar results. These findings present challenges for the view that grammatical number plays a role in number acquisition. This theory requires articulation about how a dual-marked language can facilitate number acquisition if children do not notice or learn the dual form. The information in grammatical number marking may be a useful cue for children in the process of acquiring number words. A language with dual marking, like Slovenian, may help children to bootstrap the meaning of the word “two” by drawing their attention to sets of two as a referent of language. If the dual marker indeed facilitates number learning, we hypothesized that “two” should be acquired earlier in populations exposed to the dual marker; the dual should be learned before “two”; and knowledge of the dual form should be correlated with knowledge of “two”. We tested these hypotheses by having Slovenian and English-speaking children complete the Give-a-Number and Give-Morphology tasks. We analyzed the Give-Morphology in a new way, using stricter criteria to determine that children “know” the morphological markers than simple percent correct. In this sample, Slovenian children exposed to the dual marker did not show evidence of knowing “two” (i.e., being 2-knowers) at very young ages or earlier than English-speaking children. Knowledge of the dual marker did not precede nor correlate with the acquisition of “two”. Indeed, the dual form was acquired only after the singular and plural. Parallel analyses were also conducted using an open data set with more Slovenian 2-knowers, yielding similar results. These findings present challenges for the claim that grammatical number plays a role in number acquisition. Specifically, this theory requires better articulation about how a dual-marked language can facilitate number acquisition if children do not notice or learn the dual form. 

Abstract We agree that the approximate number system (ANS) truly represents number. We endorse the authors' conclusions on the arguments from confounds, congruency, and imprecision, although we disagree with many claims along the way. Here, we discuss some complications with the meanings that undergird theories in numerical cognition, and with the language we use to communicate those theories.