Skip to main content
Log in

Are children’s spontaneous number focusing tendencies related to their home numeracy environment?

  • Original Article
  • Published:
ZDM Aims and scope Submit manuscript

Abstract

Young children show large individual differences in their tendency to focus spontaneously on numerical aspects (e.g., numerosities or Arabic number symbols) of their everyday environment. The origins of these individual differences are unclear. Given the role of the home numeracy environment (HNE) in children’s early mathematical development and the assumed link between children’s spontaneous number focusing tendencies and their numerical behavior in everyday life, it is plausible that children’s spontaneous focusing tendencies are related to their HNE. The present study aimed to test this hypothesis by longitudinally investigating children’s spontaneous focusing on numerosity (SFON) and spontaneous focusing on Arabic number symbols (SFONS) in relation to their HNE. Participants were 128 children (4- to 5-year-olds), who were followed from the second until the third year of Flemish kindergarten. In both kindergarten years, children completed a SFON and SFONS Picture task while their parents completed a home numeracy questionnaire. Correlation analyses and structural equation modeling revealed no significant associations between children’s spontaneous number focusing tendencies and their HNE, neither in second nor in third year of kindergarten. This finding suggests that children’s spontaneous number focusing tendencies are not per se related to their HNE. Various possible explanations for this unexpected finding are discussed and directions for further research on this relationship are suggested.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

Notes

  1. In Flanders (Belgium), kindergarten consists of 3 years and starts at the age of 2.5 years and ends at the age of 6 years. At the age of 6 years, children enter first grade of primary education and start to receive formal instruction in mathematics and reading.

  2. We contend that this delay (of about 6 months) in the collection of the HNE data had no substantial impact on our findings, because several findings of the present study suggest that children’s HNE remained rather stable across time. First, we found no significant differences in parents’ numeracy activities and expectations between the two kindergarten years, except for two expectation items and one activity item. Second, we observed significant associations between parents’ numeracy activities in K2 and K3 and between parents’ numeracy expectations in K2 and K3. Third, the (absence of an) association between children’s spontaneous number focusing tendencies and their HNE did not differ between the two kindergarten years.

References

  • Batchelor, S. (2014). Dispositional factors affecting children’s early numerical development. Leicestershire: Loughborough University. https://dspace.lboro.ac.uk/2134/

  • Batchelor, S., Inglis, M., & Gilmore, C. (2015). Spontaneous focusing on numerosity and the arithmetic advantage. Learning and Instruction,40, 79–88. https://doi.org/10.1016/j.learninstruc.2015.09.005.

    Article  Google Scholar 

  • Blevins-Knabe, B. (2016). Early mathematical development: How the home environment matters. In B. Blevins-Knabe & A. M. B. Austin (Eds.), Early childhood mathematics skill development in the home environment (pp. 7–29). Basel: Springer. https://doi.org/10.1007/978-3-319-43974-7

  • Blevins-Knabe, B., Austin, A. B., Musun, L., Eddy, A., & Jones, R. M. (2000). Family home care providers’ and parents’ beliefs and practices concerning mathematics with young children. Early Child Development and Care,165, 41–58. https://doi.org/10.1080/0300443001650104.

    Article  Google Scholar 

  • Bojorque, G., Torbeyns, J., Hannula-Sormunen, M. M., Van Nijlen, D., & Verschaffel, L. (2017). Development of SFON in Ecuadorian kindergartners. European Journal of Psychology of Education,32, 449–462. https://doi.org/10.1007/s10212-016-0306-9.

    Article  Google Scholar 

  • Bos, J. M., Fain, G., Rein, E., Weinberg, E., & Chavez, S. (2016). Connecting all children to high-quality early care and education: Promising strategies from the international community. https://www.air.org/system/files/downloads/report/High-Quality-Early-Care-and-Education-International-October-2016.pdf

  • Bull, R., & Lee, K. (2014). Executive functioning and mathematics achievement. Child Development Perspectives,8, 36–41. https://doi.org/10.1111/cdep.12059.

    Article  Google Scholar 

  • Ciping, D., Silinskas, G., Wei, W., & Georgiou, G. K. (2015). Cross-lagged relationships between home learning environment and academic achievement in Chinese. Early Childhood Research Quarterly,33, 12–20. https://doi.org/10.1016/j.ecresq.2015.05.001.

    Article  Google Scholar 

  • DePascale, M., Prather, R. Prather, & Ramani, G. B. (2019, June). Parent and child spontaneous focus on number and mathematical talk during play. Poster presented at the Mathematical Cognition and Learning Society (MCLS) conference, Ottawa.

  • Duncan, G. J., Dowsett, C. J., Claessens, A., Magnuson, K., Huston, A. C., Klebanov, P., et al. (2007). School readiness and later achievement. Developmental Psychology,43, 1428–1446. https://doi.org/10.1037/0012-1649.43.6.1428.

    Article  Google Scholar 

  • Elliott, L., & Bachman, H. J. (2017). How do parents foster young children’s math skills? Child Development Perspectives,12, 16–21. https://doi.org/10.1111/cdep.12249.

    Article  Google Scholar 

  • Farver, J. A. M. (1993). Cultural differences in scaffolding pretend play: A comparison of American and Mexican mother–child and sibling–child dyads. In K. MacDonald (Ed.), Parent child play: Descriptions and implications (pp. 349–366). New York: SUNY Press.

    Google Scholar 

  • Farver, J. A. M., & Wimbarti, S. (1995). Children’s play with their mothers and older siblings. Child Development,66, 1493–1503.

    Article  Google Scholar 

  • Hannula, M. M., & Lehtinen, E. (2005). Spontaneous focusing on numerosity and mathematical skills of young children. Learning and Instruction,15, 237–256. https://doi.org/10.1016/j.learninstruc.2005.04.005.

    Article  Google Scholar 

  • Hannula, M. M., Lepola, J., & Lehtinen, E. (2010). Spontaneous focusing on numerosity as a domain-specific predictor of arithmetical skills. Journal of Experimental Child Psychology,107, 394–406. https://doi.org/10.1016/j.jecp.2010.06.004.

    Article  Google Scholar 

  • Hannula, M. M., Mattinen, A., & Lehtinen, E. (2005). Does social interaction influence 3-year-old children’s tendency to focus on numerosity? A quasi-experimental study in day care. In L. Verschaffel, E. De Corte, G. Kanselaar, & M. Valcke (Eds.), Powerful environments for promoting deep conceptual and strategic learning (pp. 63–80). Leuven: Leuven University Press.

    Google Scholar 

  • Hannula, M. M., Räsänen, P., & Lehtinen, E. (2007). Development of counting skills: Role of spontaneous focusing on numerosity and subitizing-based enumeration. Mathematical Thinking and Learning,9, 51–57. https://doi.org/10.1080/10986060709336605.

    Article  Google Scholar 

  • Hannula-Sormunen, M. M. (2015). Spontaneous focusing on numerosity and its relation to counting and arithmetic. In R. Cohen Kadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 275–290). Oxford: Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.018

  • Hannula-Sormunen, M. M., Lehtinen, E., & Räsänen, P. (2015). Preschool children’s spontaneous focusing on numerosity, subitizing, and counting skills as predictors of their mathematical performance seven years later at school. Mathematical Thinking and Learning,17, 155–177. https://doi.org/10.1080/10986065.2015.1016814.

    Article  Google Scholar 

  • Hart, S. A., Ganley, C. M., & Purpura, D. J. (2016). Understanding the home math environment and its role in predicting parent report of children’s math skills. PLoS ONE,11(12), 1–30. https://doi.org/10.1371/journal.pone.0168227.

    Article  Google Scholar 

  • Holloway, I. D., & Ansari, D. (2015). Numerical symbols: An overview of their cognitive and neural underpinnings. In R. Cohen Cadosh & A. Dowker (Eds.), The Oxford handbook of numerical cognition (pp. 531-552). Oxford: Oxford University Press. https://doi.org/10.1093/oxfordhb/9780199642342.013.56

  • Hu, L. T., & Bentler, P. M. (1999). Cutoff criteria for fit indexes in covariance structure analysis: Conventional criteria versus new alternatives. Structural Equation Modeling,6, 1–55. https://doi.org/10.1080/10705519909540118.

    Article  Google Scholar 

  • Huang, Q., Zhang, X., Liu, Y., Yang, W., & Song, Z. (2017). The contribution of parent–child numeracy activities to young Chinese children’s mathematical ability. British Journal of Educational Psychology,87, 328–344. https://doi.org/10.1111/bjep.12152.

    Article  Google Scholar 

  • IBM Corp. (2016). IBM SPSS statistics for windows, version 24.0. Armonk: IBM Corp.

  • Jordan, N. C., Kaplan, D., Ramineni, C., & Locuniak, M. N. (2009). Early math matters: Kindergarten number competence and later mathematics outcomes. Developmental Psychology,45, 850–867. https://doi.org/10.1037/a0014939.

    Article  Google Scholar 

  • Kleemans, T., Peeters, M., Segers, E., & Verhoeven, L. (2012). Child and home predictors of early numeracy skills in kindergarten. Early Childhood Research Quarterly,27, 471–477. https://doi.org/10.1016/j.ecresq.2011.12.004.

    Article  Google Scholar 

  • LeFevre, J.-A., Skwarchuk, S.-L., Smith-Chant, B. L., Fast, L., Kamawar, D., & Bisanz, J. (2009). Home numeracy experiences and children’s math performance in the early school years. Canadian Journal of Behavioural Science,41, 55–66. https://doi.org/10.1037/a0014532.

    Article  Google Scholar 

  • McMullen, J., Chan, J. Y.-C., Mazzocco, M. M. M., & Hannula-Sormunen, M. M. (2018). Spontaneous mathematical focusing tendencies in mathematical development and education. In A. Norton & M. W. Alibali (Eds.), Constructing number: Merging perspectives from psychology and mathematics education (pp. 69–86). Newark: Springer.

    Google Scholar 

  • McMullen, J., Hannula-Sormunen, M. M., & Lehtinen, E. (2015). Preschool spontaneous focusing on numerosity predicts rational number conceptual knowledge 6 years later. ZDM Mathematics Education,47(5), 813–824. https://doi.org/10.1007/s11858-015-0669-4.

    Article  Google Scholar 

  • Missall, K., Hojnoski, R. L., Caskie, G. I. L., & Repasky, P. (2015). Home numeracy environments of preschoolers: Examining relations among mathematical activities, parent mathematical beliefs, and early mathematical skills. Early Education and Development,26(3), 356–376. https://doi.org/10.1080/10409289.2015.968243.

    Article  Google Scholar 

  • Missall, K., Hojnoski, R. L., & Moreano, G. (2017). Parent-child mathematical interactions: examining self-report and direct observation. Early Child Development and Care,187(12), 1896–1908. https://doi.org/10.1080/03004430.2016.1193731.

    Article  Google Scholar 

  • Moll, K., Snowling, M. J., Göbel, S. M., & Hulme, C. (2015). Early language and executive skills predict variations in number and arithmetic skills in children at family-risk of dyslexia and typically developing controls. Learning and Instruction,38, 53–62. https://doi.org/10.1016/j.learninstruc.2015.03.004.

    Article  Google Scholar 

  • Mutaf Yildiz, B., Sasanguie, D., De Smedt, B., & Reynvoet, B. (2018a). Frequency of home numeracy activities is differentially related to basic number processing and calculation skills in kindergartners. Frontiers in Psychology,9, 1–13. https://doi.org/10.3389/fpsyg.2018.00340.

    Article  Google Scholar 

  • Mutaf Yildiz, B., Sasanguie, D., De Smedt, B., & Reynvoet, B. (2018b). Investigating the relationship between two home numeracy measures: A questionnaire and observations during Lego building and book reading. British Journal of Developmental Psychology,36, 354–370. https://doi.org/10.1111/bjdp.12235.

    Article  Google Scholar 

  • Muthén, L. K., & Muthén, B. O. (2017). Mplus user’s guide (Eight ed.). Los Angeles: Muthén & Muthén. https://doi.org/10.1111/j.1600-0447.2011.01711.x.

    Book  Google Scholar 

  • Nguyen, T., Watts, T. W., Duncan, G. J., Clements, D. H., Sarama, J. S., Wolfe, C., et al. (2016). Which preschool mathematics competencies are most predictive of fifth grade achievement? Early Childhood Research Quarterly,36, 550–560. https://doi.org/10.1016/j.ecresq.2016.02.003.

    Article  Google Scholar 

  • Ramani, G. B., Rowe, M. L., Eason, S. H., & Leech, K. A. (2015). Math talk during informal learning activities in Head Start families. Cognitive Development,35, 15–33. https://doi.org/10.1016/j.cogdev.2014.11.002.

    Article  Google Scholar 

  • Rathé, S., Torbeyns, J., De Smedt, B., Hannula-Sormunen, M. M., & Verschaffel, L. (2018). Verbal and action-based measures of kindergartners’ SFON and their associations with number-related utterances during picture book reading. British Journal of Educational Psychology,66, 550–565. https://doi.org/10.1111/bjep.12201.

    Article  Google Scholar 

  • Rathé, S., Torbeyns, J., De Smedt, B., & Verschaffel, L. (2019a). Spontaneous focusing on Arabic number symbols and its association with early mathematical competencies. Early Childhood Research Quarterly,48, 111–121. https://doi.org/10.1016/j.ecresq.2019.01.011.

    Article  Google Scholar 

  • Rathé, S., Torbeyns, J., De Smedt, B., & Verschaffel, L. (2019b, August). The role of spontaneous focusing on Arabic number symbols in early mathematical development. Paper presented at the 18th Biennial EARLI conference, Aachen.

  • Rathé, S., Torbeyns, J., Hannula-Sormunen, M. M., De Smedt, B., & Verschaffel, L. (2016). Spontaneous focusing on numerosity: A review of recent research. Mediterrean Journal for Research in Mathematics Education,15, 1–25.

    Google Scholar 

  • Schneider, M., Beeres, K., Coban, L., Merz, S., Schmidt, S. S., Stricker, J., et al. (2017). Associations of non-symbolic and symbolic numerical magnitude processing with mathematical competence: a meta-analysis. Developmental Science,20, 1–16. https://doi.org/10.1111/desc.12372.

    Article  Google Scholar 

  • Schreiber, J. B., Nora, A., Stage, F. K., Barlow, E. A., & King, J. (2006). Reporting structural equation modeling and confirmatory factor analysis results: A review. Journal of Educational Research,99, 323–337. https://doi.org/10.3200/JOER.99.6.323-338.

    Article  Google Scholar 

  • Skwarchuk, S.-L. (2009). How do parents support preschoolers’ numeracy learning experiences at home? Early Childhood Education Journal,37, 189–197. https://doi.org/10.1007/s10643-009-0340-1.

    Article  Google Scholar 

  • Skwarchuk, S.-L., Sowinski, C., & LeFevre, J.-A. (2014). Formal and informal home learning activities in relation to children’s early numeracy and literacy skills: The development of a home numeracy model. Journal of Experimental Child Psychology,121, 63–84. https://doi.org/10.1016/j.jecp.2013.11.006.

    Article  Google Scholar 

  • Susperreguy, M. I., & Davis-Kean, P. E. (2016). Maternal math talk in the home and math skills in preschool children. Early Education and Development,27, 841–857. https://doi.org/10.1080/10409289.2016.1148480.

    Article  Google Scholar 

  • Thompson, R. J., Napoli, A. R., & Purpura, D. J. (2017). Age-related differences in the relation between the home numeracy environment and numeracy skills. Infant and Child Development,26(5), 1–13. https://doi.org/10.1002/icd.2019.

    Article  Google Scholar 

  • Verschaffel, L., Rathé, S., Wijns, N., Degrande, T., Van Dooren, W., De Smedt, B., & Torbeyns, J. (2018). Young children’s early mathematical competencies: The role of mathematical focusing tendencies. In I. Erfjord (Ed.), Mathematics education in the early years. Results from the POEM4 conference, 2018. New York: Springer.

  • Verschaffel, L., Torbeyns, J., & De Smedt, B. (2017). Young children’s early mathematical competencies: Analysis and improvement. In Dooley, T. & Gueudet, G. (Eds.), Proceedings of the tenth congress of the European Society for Research in Mathematics Education (pp. 31–52). Dublin: DCU Institute of Education & ERME.

  • Zippert, E. L., & Ramani, G. B. (2017). Parents’ estimations of preschoolers’ number skills relate to at-home number-related activity engagement. Infant and Child Development,26, 1–24. https://doi.org/10.1002/icd.1968.

    Article  Google Scholar 

Download references

Acknowledgements

Sanne Rathé is a PhD Fellow of the Research Foundation—Flanders (FWO). We would like to thank all children, parents, schools, and teachers for their participation. Special thanks to Xan Boen for designing the pictures of the Picture tasks.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sanne Rathé.

Ethics declarations

Conflict of interest

The authors declare that they have no conflict of interest.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix: Home numeracy questionnaire

Appendix: Home numeracy questionnaire

Parent numeracy expectations

How important is it for you that your child masters the following competencies at the start of first grade?

(cross 1 box that correctly indicates your answer)

 

Not at all important

Not important

Important

Very important

Reciting the number sequence up to 10 (e.g., 1, 2, 3, 4, …)

Reciting the number sequence up to 100 (e.g., 10, 11, 12, 13, …)

Counting up to 10 objects (e.g., counting 3 candies)

Counting more than 10 objects (e.g., counting 12 cubes)

Reading written number symbols (e.g., 3)

Writing number symbols (e.g., 2)

Solving sums up to 10 (e.g., 2 + 2)

Parent numeracy activities

How often do you engage in the following activities together with your child?

(cross 1 box that correctly indicates your answer)

 

Never

Less than once a week

Once a week

More than once a week

Every day

Playing games that require counting or elementary computations (e.g., Goose game)

Playing computer or tablet games that require counting or elementary computations (e.g., Miffy plays with numbers)

Reading picture books that include numbers, counting or elementary computations (e.g., The numeral shop [Het cijferwinkeltje])

Singing counting rhymes or counting songs (e.g., 1, 2, 3, 4 a paper hat [1, 2, 3, 4 een hoedje van papier])

Counting or elementary calculations during daily activities (e.g., counting the number of apples during cooking)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rathé, S., Torbeyns, J., De Smedt, B. et al. Are children’s spontaneous number focusing tendencies related to their home numeracy environment?. ZDM Mathematics Education 52, 729–742 (2020). https://doi.org/10.1007/s11858-020-01127-z

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11858-020-01127-z

Keywords

Navigation