Describing the Mathematical Intentions of Early Learning Childhood Experiences

  • Peter SullivanEmail author
  • Ann Gervasoni
  • Sivanes Phillipson
Part of the Early Mathematics Learning and Development book series (EMLD)


This chapter is written to inform the subsequent design of intentional experiences for young children, especially in family settings. There is clearly a world of mathematical possibilities for young children but it will assist in ensuring that children have experiences that can assist them in interpreting the world mathematically and in adapting to the demands of schooling. Based on analysis of research and critique of similar documents, the chapter presents a set of key foci that can inform the design of suggestions in which parents (and educators) can engage with children.


Early years mathematics Measurement Number Space and location Early years curriculum 


  1. Anders, Y., Grosse, C., Rossbach, H.-G., Ebert, S., & Weinert, S. (2013). Preschool and primary school influences on the development of children’s early numeracy skills between the ages of 3 and 7 years in Germany. School Effectiveness and School Improvement, 24, 195–211.CrossRefGoogle Scholar
  2. Anthony, G., & Walshaw, M. (2009). Effective pedagogy in mathematics. Educational Series (Vol. 19). Brussels: International Academy of Education; Geneva.Google Scholar
  3. Australian Curriculum Assessment and Reporting Authority. (2015). The shape of the Australian curriculum: Mathematics. Retrieved from
  4. Brousseau, G. (1997). Theory of didactical situations in mathematics. Dordrecht: Kluwer.Google Scholar
  5. Clarke, D., Cheeseman, J., Gervasoni, A., Gronn, D., Horne, M., McDonough, A., et al. (2002). Early numeracy research project (ENRP): Final report. Accessed September 11, 2002.
  6. Clements, D. H. (2014). Major themes and recommendations. In D. H. Clements & J. Sarama (Eds.), Engaging young children in mathematics (pp. 7–76). London: Lawrence Erlbaum.Google Scholar
  7. Department of Education and Training. (2015). Early years learning framework. Retrieved July 2015 from
  8. Fuson, K. (1990). Issues in place-value and multidigit addition and subtraction learning and teaching. Journal for Research in Mathematics Education, 21, 273–280.CrossRefGoogle Scholar
  9. Gervasoni, A., & Perry, B. (2015). Children’s mathematical knowledge prior to starting school and implications for transition. In B. Perry, A. MacDonald, & A. Gervasoni (Eds.), Mathematics and transition to school: International perspectives (pp. 47–64). Amsterdam: Springer.Google Scholar
  10. Hiebert, J., & Wearne, D. (1997). Instructional tasks, classroom discourse and student learning in second grade arithmetic. American Educational Research Journal, 30, 393–425.CrossRefGoogle Scholar
  11. International Baccalaureate Organization. (2012). The IB primary years programme. Retrieved from
  12. Margolinas, C., & Wozniak, F. (2014). Early construction of number as position with young children: A teaching experiment. ZDM, 46, 29–44.CrossRefGoogle Scholar
  13. McDonough, A., & Sullivan, P. (2011). Learning to measure length in the first three years of school. Australasian Journal of Early Childhood, 36(3), 27–35.Google Scholar
  14. Piaget, J., Inhelder, B., & Szeminska, A. (1960). The child’s conception of geometry. New York: Basic Books.Google Scholar
  15. Sousa, D. (2008). How the brain learns mathematics. Thousand Oaks: Corwin Press.Google Scholar
  16. Sullivan, P., Askew, M., Cheeseman, J., Clarke, D., Mornane, A., Roche, A., et al. (2014). Supporting teachers in structuring mathematics lessons involving challenging tasks. Journal of Mathematics Teacher Education, 18(2), 123–140.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Singapore 2017

Authors and Affiliations

  • Peter Sullivan
    • 1
    Email author
  • Ann Gervasoni
    • 1
  • Sivanes Phillipson
    • 1
  1. 1.Faculty of EducationMonash UniversityClaytonAustralia

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