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Using Children’s Patterning Tasks During Professional Development for Preschool Teachers

  • Dina Tirosh
  • Pessia Tsamir
  • Ruthi Barkai
  • Esther Levenson
Chapter

Abstract

Patterning activities in preschool are considered one way for enhancing young children’s appreciation for structure. Preschool teachers, however, are not always aware of the mathematics behind these activities. This paper describes one part of a professional development program that employs the use of tasks for children to promote preschool teachers’ knowledge for teaching patterns. Segments of the program reflect how the refined Cognitive Affective Mathematics Teacher Education framework helped to ensure that while engaging in pattern tasks for children, teachers enhanced their mathematics knowledge, knowledge of students, and knowledge of tasks.

Keywords

Repeating patterns Preschool teachers Unit of repeat Professional development Pattern tasks The CAMTE framework 

Notes

Acknowledgment

This research was supported by the Israel Science Foundation (grant no. 1270/14).

References

  1. Allinder, R. M. (1994). The relationship between efficacy and the instructional practices of special education teachers and consultants. Teacher Education and Special Education, 17(2), 86–95.Google Scholar
  2. Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching what makes it special? Journal of Teacher Education, 59(5), 389–407.CrossRefGoogle Scholar
  3. Benz, C. (2010). Kindergarten educators and maths. In M. Pinto & T. Kawasaki (Eds.), Proceedings of the 34th conference of the International Group for the Psychology of mathematics education (Vol. 2, pp. 201–207). Belo Horizonte, Brazil: PME.Google Scholar
  4. Clarke, D. M., & Clarke, B. A. (2004). Mathematics teaching in grades K-2: Painting a picture of challenging, supportive, and effective classrooms. In R. N. Rubenstein & G. W. Bright (Eds.), Perspectives on the teaching of mathematics (pp. 67–81). Reston, VA: NCTM.Google Scholar
  5. Fox, J. (2005). Child-initiated mathematical patterning in the pre-compulsory years. In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th conference of the International Group for the Psychology of mathematics education (Vol. 2, pp. 313–320). Melbourne, Australia: PME.Google Scholar
  6. Henningsen, M., & Stein, M. K. (1997). Mathematical tasks and student cognition: Classroom-based factors that support and inhibit high-level mathematical thinking and reasoning. Journal for Research in Mathematics Education, 28, 524–549.CrossRefGoogle Scholar
  7. Israel national mathematics preschool curriculum (INMPC) (2008). Retrieved 7 April 2009, from http://meyda.education.gov.il/files/Tochniyot_Limudim/KdamYesodi/Math1.pdf
  8. Lee, J. S., & Ginsburg, H. P. (2007). What is appropriate mathematics education for four-year-olds? Pre-kindergarten teachers’ beliefs. Journal of Early Childhood Research, 5(1), 2–31.CrossRefGoogle Scholar
  9. National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: NCTM.Google Scholar
  10. Papic, M., Mulligan, J., & Mitchelmore, M. (2011). Assessing the development of preschoolers' mathematical patterning. Journal for Research in Mathematics Education, 42(3), 237–269.CrossRefGoogle Scholar
  11. Rittle-Johnson, B., Fyfe, E. R., McLean, L. E., & McEldoon, K. L. (2013). Emerging understanding of patterning in 4-year-olds. Journal of Cognition and Development, 14(3), 376–396.CrossRefGoogle Scholar
  12. Sarama, J., & Clements, D. (2009). Early childhood mathematics education research: Learning trajectories for young children. London: Routledge.Google Scholar
  13. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook of research on mathematics teaching and Learning (pp. 334–370). New York: Macmillan.Google Scholar
  14. Seo, K. H., & Ginsburg, H. P. (2004). What is developmentally appropriate in early childhood mathematics education? Lessons from new research. In D. H. Clements, J. Sarama, & A.-M. DiBiase (Eds.), Engaging young children in mathematics: Standards for early childhood mathematics education (pp. 91–104). Hillsdale, NJ: Erlbaum.Google Scholar
  15. Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.CrossRefGoogle Scholar
  16. Starkey, P., Klein, A., & Wakeley, A. (2004). Enhancing young children’s mathematical knowledge through a pre-kindergarten mathematics intervention. Early Childhood Research Quarterly, 19(1), 99–120.CrossRefGoogle Scholar
  17. Tirosh, D., Tsamir, P., Levenson, E., Barkai, R., & Tabach, M. (2016). Assessing kindergarten children’s knowledge of repeating patterns: Teachers’ choices. In C. Csikos, A. Rausch, & J. Szitanyi (Eds.), Proceedings of The 40th International Conference for the Psychology of Mathematics Education (Vol. 1, p. 147). Szeged: PMEGoogle Scholar
  18. Tirosh, D., Tsamir, P., Levenson, E., Barkai, R., & Tabach, M. (2015). Preschool teachers’ self-efficacy and knowledge for defining, drawing, and continuing repeating patterns. Presented at the 21st MAVI (Mathematical Views) Conference in Milan, Italy.Google Scholar
  19. Tsamir, P., Tirosh, D., Barkai, R., Levenson, E., & Tabach, M. (2015). Which continuation is appropriate? Kindergarten children’s knowledge of repeating patterns. In K. Beswick, T. Muir, & J. Wells (Eds.), Proceedings of The 39th International Conference for the Psychology of Mathematics Education (Vol. 4, pp. 249–256). Hobart: PME.Google Scholar
  20. Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014). Employing the CAMTE framework: Focusing on preschool teachers’ knowledge and self-efficacy related to students’ conceptions. In C. Benz, B. Brandt, U. Kortenkamp, G. Krummheuer, S. Ladel, & R. Vogel (Eds.), Early mathematics learning – Selected papers from the POEM 2012 conference (pp. 291–306). New York: Springer.Google Scholar
  21. Waters, J. (2004). Mathematical patterning in early childhood settings. In I. Putt & M. McLean (Eds.), Mathematics Education for the Third Millennium (pp. 565–572). Townsville: Mathematics Education Research Group of Australia.Google Scholar
  22. Watson, A., & Sullivan, P. (2008). Teachers learning about tasks and lessons. In D. Tirosh & T. Wood (Eds.), The international handbook of mathematics teacher education (Vol. 2, pp. 109–134). Rotterdam, The Netherlands: Sense Publishers.Google Scholar
  23. Zazkis, R., & Liljedahl, P. (2006). On the path to number theory: Repeating patterns as a gateway. In R. Zazkis & S. R. Campbell (Eds.), Number theory in mathematics education: Perspectives and prospects (pp. 99–114). Mahwah, NJ: Erlbaum.Google Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  • Dina Tirosh
    • 1
  • Pessia Tsamir
    • 1
  • Ruthi Barkai
    • 1
  • Esther Levenson
    • 1
  1. 1.Tel Aviv UniversityTel AvivIsrael

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