Almoammer, A., Sullivan, J., Donlan, C., Marušič, F., Žaucer, R., O’Donnell, T., & Barner, D. (2013). Grammatical morphology as a source of early number word meanings. Proceedings of the National Academy of Sciences of the United States of America, 110(46), 18448-18453. https://doi.org/10.1073/pnas.1313652110
Carey, S. (2004). Bootstrapping & the origin of concepts. Daedalus, 133(1), 59-68. https://doi.org/10.1162/001152604772746701
Carey, S. (2009). The origin of concepts. Oxford, United Kingdom: Oxford University Press.
Carey, S., Shusterman, A., Haward, P., & Distefano, R. (2017). Do analog number representations underlie the meanings of young children’s verbal numerals? Cognition, 168, 243-255. https://doi.org/10.1016/j.cognition.2017.06.022
Cheung, P., Slusser, E., & Shusterman, A. (2016). A 6-month longitudinal study on numerical estimation in preschoolers. In A. Papafragou, D. Grodner, D. Mirman, & J. C. Trueswell (Eds.), Proceedings of the 38th Annual Conference of the Cognitive Science Society (pp. 2813-2818). Austin, TX, USA: Cognitive Science Society.
Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale, NJ, USA: Lawrence Erlbaum Associates.
Davidson, K., Eng, K., & Barner, D. (2012). Does learning to count involve a semantic induction? Cognition, 123(1), 162-173. https://doi.org/10.1016/j.cognition.2011.12.013
Dehaene, S. (1997). The number sense: How the mind creates mathematics. New York, NY, USA: Oxford University Press.
Dehaene, S., & Changeux, J. P. (1993). Development of elementary numerical abilities: A neuronal model. Journal of Cognitive Neuroscience, 5(4), 390-407. https://doi.org/10.1162/jocn.1993.5.4.390
Feigenson, L., Dehaene, S., & Spelke, E. (2004). Core systems of number. Trends in Cognitive Sciences, 8(7), 307-314. https://doi.org/10.1016/j.tics.2004.05.002
Frye, D., Braisby, N., Lowe, J., Maroudas, C., & Nicholls, J. (1989). Young children’s understanding of counting and cardinality. Child Development, 60(5), 1158-1171. https://doi.org/10.2307/1130790
Fuson, K. C., Richards, J., & Briars, D. J. (1982). The acquisition and elaboration of the number word sequence. In C. J. Brainerd (Ed.), Children’s logical and mathematical cognition: Progress in development research (pp. 33–92). New York, NY, USA: Springer.
Gallistel, C. R., & Gelman, R. (1992). Preverbal and verbal counting and computation. Cognition, 44(1-2), 43-74. https://doi.org/10.1016/0010-0277(92)90050-R
Geary, D., Vanmarle, K., Chu, F., Hoard, M., & Nugent, L. (2019). Predicting age of becoming a cardinal principle knower. Journal of Educational Psychology, 111(2), 256-267. https://doi.org/10.1037/edu0000277
Gelman, R., & Gallistel, C. (1978). Young children’s understanding of numbers. Cambridge, MA, USA: Harvard University Press.
Gunderson, E. A., Spaepen, E., & Levine, S. C. (2015). Approximate number word knowledge before the cardinal principle. Journal of Experimental Child Psychology, 130, 35-55. https://doi.org/10.1016/j.jecp.2014.09.008
Huttenlocher, J., Jordan, N. C., & Levine, S. C. (1994). A mental model for early arithmetic. Journal of Experimental Psychology: General, 123(3), 284-296. https://doi.org/10.1037/0096-3445.123.3.284
Krajcsi, A. (2021). Follow-up questions influence the measured number knowledge in the Give-a-number task. Cognitive Development, 57, Article 100968. https://doi.org/10.1016/j.cogdev.2020.100968
Krajcsi, A., Fintor, E., & Hodossy, L. (2018). A refined description of preschoolers’ initial symbolic number learning. OSF Preprints. https://doi.org/10.31219/osf.io/2kh9s
Le Corre, M. (2014). Children acquire the later-greater principle after the cardinal principle. British Journal of Developmental Psychology, 32(2), 163-177. https://doi.org/10.1111/bjdp.12029
Le Corre, M., & Carey, S. (2007). One, two, three, four, nothing more: An investigation of the conceptual sources of the verbal counting principles. Cognition, 105(2), 395-438. https://doi.org/10.1016/j.cognition.2006.10.005
Le Corre, M., Van de Walle, G., Brannon, E. M., & Carey, S. (2006). Re-visiting the competence/performance debate in the acquisition of the counting principles. Cognitive Psychology, 52(2), 130-169. https://doi.org/10.1016/j.cogpsych.2005.07.002
Lee, M. D., & Sarnecka, B. W. (2011). Number-knower levels in young children: Insights from Bayesian modeling. Cognition, 120(3), 391-402. https://doi.org/10.1016/j.cognition.2010.10.003
Marinova, M., Reynvoet, B., & Sasanguie, D. (2021). Mapping between number notations in kindergarten and the role of home numeracy. Cognitive Development, 57, Article 101002. https://doi.org/10.1016/j.cogdev.2020.101002
Mix, K. S., Huttenlocher, J., & Levine, S. C. (2002). Multiple cues for quantification in infancy: Is number one of them? Psychological Bulletin, 128(2), 278-294. https://doi.org/10.1037/0033-2909.128.2.278
Mussolin, C., Nys, J., Leybaert, J., & Content, A. (2012). Relationships between approximate number system acuity and early symbolic number abilities. Trends in Neuroscience and Education, 1(1), 21-31. https://doi.org/10.1016/j.tine.2012.09.003
Mutaf Yıldız, B., Sasanguie, D., De Smedt, B., & Reynvoet, B. (2018). Frequency of home numeracy activities is differentially related to basic number processing and calculation skills in kindergartners. Frontiers in Psychology, 9, Article 340. https://doi.org/10.3389/fpsyg.2018.00340
Negen, J., & Sarnecka, B. W. (2012). Number-concept acquisition and general vocabulary development. Child Development, 83(6), 2019-2027. https://doi.org/10.1111/j.1467-8624.2012.01815.x
Negen, J., & Sarnecka, B. W. (2015). Is there really a link between exact-number knowledge and approximate number system acuity in young children? British Journal of Developmental Psychology, 33(1), 92-105. https://doi.org/10.1111/bjdp.12071
Odic, D., Le Corre, M., & Halberda, J. (2015). Children’s mappings between number words and the approximate number system. Cognition, 138, 102-121. https://doi.org/10.1016/j.cognition.2015.01.008
Piantadosi, S. T., Jara-Ettinger, J., & Gibson, E. (2014). Children’s learning of number words in an indigenous farming-foraging group. Developmental Science, 17(4), 553-563. https://doi.org/10.1111/desc.12078
Piazza, M. (2011). Neurocognitive start-up tools for symbolic number representations. In S. Dehaene & E. Brannon (Eds.), Space, time and number in the brain: Searching for the foundations of mathematical thought (pp. 267–285). Amsterdam, The Netherlands: Elsevier Academic Press. https://doi.org/10.1016/B978-0-12-385948-8.00017-7https://doi.org/10.1016/B978-0-12-385948-8.00017-7
Piazza, M., Mechelli, A., Butterworth, B., & Price, C. J. (2002). Are subitizing and counting implemented as separate or functionally overlapping processes? NeuroImage, 15(2), 435-446. https://doi.org/10.1006/nimg.2001.0980
Posid, T., & Cordes, S. (2018). How high can you count? Probing the limits of children’s counting. Developmental Psychology, 54(5), 875-889. https://doi.org/10.1037/dev0000469
Revkin, S. K., Piazza, M., Izard, V., Cohen, L., & Dehaene, S. (2008). Does subitising reflect numerical estimation? Psychological Science, 19(6), 607-614. https://doi.org/10.1111/j.1467-9280.2008.02130.x
Reynvoet, B., & Sasanguie, D. (2016). The symbol grounding problem revisited: A thorough evaluation of the ANS mapping account and the proposal of an alternative account based on symbol–symbol associations. Frontiers in Psychology, 7, Article 1581. https://doi.org/10.3389/fpsyg.2016.01581
Sarnecka, B. W. (2021). Learning to represent exact numbers. Synthese, 198, 1001-1018. https://doi.org/10.1007/s11229-015-0854-6
Sarnecka, B. W., & Carey, S. (2008). How counting represents number: What children must learn and when they learn it. Cognition, 108(3), 662-674. https://doi.org/10.1016/j.cognition.2008.05.007
Sarnecka, B. W., & Gelman, S. A. (2004). Six does not just mean a lot: Preschoolers see number words as specific. Cognition, 92(3), 329-352. https://doi.org/10.1016/j.cognition.2003.10.001
Sarnecka, B. W., Goldman, M. C., & Slusser, E. B. (2015). How counting leads to children's first representations of exact, large numbers. In R. C. Kadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 291–309). Oxford, United Kingdom: Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.011
Sarnecka, B. W., Kamenskaya, V. G., Yamana, Y., Ogura, T., & Yudovina, Y. B. (2007). From grammatical number to exact numbers: Early meanings of “one”, “two”, and “three” in English, Russian, and Japanese. Cognitive Psychology, 55(2), 136-168. https://doi.org/10.1016/j.cogpsych.2006.09.001
Sarnecka, B. W., & Lee, M. D. (2009). Levels of number knowledge during early childhood. Journal of Experimental Child Psychology, 103(3), 325-337. https://doi.org/10.1016/j.jecp.2009.02.007
Sarnecka, B. W., Negen, J., & Goldman, M. C. (2018). Early number knowledge in dual-language learners from low-SES households. In D. B. Berch, D. C. Geary, & K. M. Koepke (Eds.), Language and culture in mathematical cognition (pp. 197–228). Amsterdam, The Netherlands: Elsevier Academic Press. https://doi.org/10.1016/B978-0-12-812574-8.00009-2
Scheuer, N., Martí, E., Cavalcante, S., & Brizuela, B. M. (2019). Response patterns of young children from two contrasting SES contexts to different numerical tasks with numbers 1–5. The Journal of Genetic Psychology, 180(1), 1-16. https://doi.org/10.1080/00221325.2018.1562417
Schneider, R. M., Pankonin, A., Schachner, A., & Barner, D. (2021). Starting small: Exploring the origins of successor function knowledge. Developmental Science, 24, Article e13091. https://doi.org/10.1111/desc.13091
Secada, W. G., Fuson, K. C., & Hall, J. W. (1983). The transition from counting-all to counting-on in addition. Journal for Research in Mathematics Education, 14(1), 47-57. https://doi.org/10.2307/748796
Sella, F., Lanfranchi, S., & Zorzi, M. (2013). Enumeration skills in Down syndrome. Research in Developmental Disabilities, 34(11), 3798-3806. https://doi.org/10.1016/j.ridd.2013.07.038
Sella, F., & Lucangeli, D. (2020). The knowledge of the preceding number reveals a mature understanding of the number sequence. Cognition, 194, Article 104104. https://doi.org/10.1016/j.cognition.2019.104104
Sella, F., Lucangeli, D., Cohen Kadosh, R., & Zorzi, M. (2020). Making sense of number words and Arabic digits: Does order count more? Child Development, 91(5), 1456-1470. https://doi.org/10.1111/cdev.13335
Shusterman, A., Slusser, E., Halberda, J., & Odic, D. (2016). Acquisition of the cardinal principle coincides with improvement in approximate number system acuity in preschoolers. PLoS One, 11(4), Article e0153072. https://doi.org/10.1371/journal.pone.0153072
Simon, T. J. (1997). Reconceptualizing the origins of number knowledge: A “non-numerical” account. Cognitive Development, 12(3), 349-372. https://doi.org/10.1016/S0885-2014(97)90008-3
Slusser, E., Ditta, A., & Sarnecka, B. (2013). Connecting numbers to discrete quantification: A step in the child’s construction of integer concepts. Cognition, 129(1), 31-41. https://doi.org/10.1016/j.cognition.2013.05.011
Slusser, E. B., & Sarnecka, B. W. (2011). Find the picture of eight turtles: A link between children’s counting and their knowledge of number word semantics. Journal of Experimental Child Psychology, 110(1), 38-51. https://doi.org/10.1016/j.jecp.2011.03.006
Spelke, E. S., & Kinzler, K. S. (2007). Core knowledge. Developmental Science, 10(1), 89-96. https://doi.org/10.1111/j.1467-7687.2007.00569.x
Stoianov, I., & Zorzi, M. (2012). Emergence of a “visual number sense” in hierarchical generative models. Nature Neuroscience, 15(2), 194-196. https://doi.org/10.1038/nn.2996
Trick, L. M., & Pylyshyn, Z. W. (1994). Why are small and large numbers enumerated differently? A limited-capacity preattentive stage in vision. Psychological Review, 101(1), 80-102. https://doi.org/10.1037/0033-295X.101.1.80
Wagner, J. B., & Johnson, S. C. (2011). An association between understanding cardinality and analog magnitude representations in preschoolers. Cognition, 119(1), 10-22. https://doi.org/10.1016/j.cognition.2010.11.014
Wagner, K., Chu, J., & Barner, D. (2019). Do children’s number words begin noisy? Developmental Science, 22(1), Article e12752. https://doi.org/10.1111/desc.12752
Whalen, J., Gallistel, C. R., & Gelman, R. (1999). Nonverbal counting in humans: The psychophysics of number representation. Psychological Science, 10(2), 130-137. https://doi.org/10.1111/1467-9280.00120
Wynn, K. (1990). Children’s understanding of counting. Cognition, 36(2), 155-193. https://doi.org/10.1016/0010-0277(90)90003-3
Wynn, K. (1992). Children’s acquisition of the number words and the counting system. Cognitive Psychology, 24(2), 220-251. https://doi.org/10.1016/0010-0285(92)90008-P