Abstract
This chapter describes an integrated program in Israel for 3-year-old children and their caregivers. For the caregivers, the aim of the program was to increase their mathematical and pedagogical knowledge for teaching geometric concepts. For the children, the aim of the program was to introduce geometry into the different spaces of the classroom, at different times in the daily schedule, and with different activities. Care was taken to introduce mathematical language and encourage communication skills. In addition, caregivers were encouraged to share their experiences and try out activities with the children. Questions and dilemmas are discussed.
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Notes
- 1.
The Star of David is a figure made up two triangles
and is found on the Israeli flag.
and is found on the Israeli flag.References
Ansari, D., Donlan, C., Thomas, M. S. C., Ewing, S. A., Peen, T., & Karmiloff-Smith, A. (2003). What makes counting count? Verbal and visuo-spatial contributions to typical and atypical number development. Journal of Experimental Child Psychology, 85, 50–62.
Ball, D., Thames, M., & Phelps, G. (2008). Content knowledge for teaching. Journal of Teacher Education, 59(5), 389–407.
Bandura, A. (1986). Social foundations of thought and action: A social cognitive. Englewood Cliffs, NJ: Prentice Hall.
Barnett, W. S. (2011). Effectiveness of early educational intervention. Science, 333(6045), 975–978.
Baroody, A. J. (1987). Children’s mathematical thinking. New York: Teachers College.
Burger, W., & Shaughnessy, J. (1986). Characterizing the van Hiele levels of development in geometry. Journal for Research in Mathematics Education, 17(1), 31–48.
Clements, D. H., & Sarama, J. (2011). Early childhood teacher education: The case of geometry. Journal of Mathematics Teacher Education, 14(2), 133–148.
Clements, D. H., & Sarama, J. (2013). Rethinking early mathematics: What is research-based Curriculum for young children? In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning (pp. 121–147). Dordrecht: Springer.
Department of Education, Employment and Workforce Relations (DEEWR). (2009). Belonging, being and becoming: The early years learning framework for Australia. Canberra: Commonwealth of Australia.
Fischbein, E. (Ed.). (1987). Intuition in science and mathematics. Dordrecht: Reidel.
Fischbein, E. (1993). The theory of figural concepts. Educational Studies in Mathematics, 24(2), 139–162.
Ginsburg, H. P., Lee, J. S., & Boyd, J. S. (2008). Mathematics education for young children: What it is and how to promote it. Social Policy Report, XXII(I), 1–22.
Gutiérrez, A., & Jaime, A. (1999). Preservice primary teachers’ understanding of the concept of altitude of a triangle. Journal of Mathematics Teacher Education, 2(3), 253–275.
Havnes, T., & Mogstad, M. (2011). No child left behind: Subsidized child care and children’s long-run outcomes. American Economic Journal: Economic Policy, 3(2), 97–129.
Hershkowitz, R. (1989). Visualization in geometry—Two sides of the coin. Focus on Learning Problems in Mathematics, 11(1), 61–76.
Israel National Mathematics Preschool Curriculum (INMPC). (2008). Retrieved April 7, 2009, from http://meyda.education.gov.il/files/Tochniyot_Limudim/KdamYesodi/Math1.pdf.
Krajewski, K., & Schneider, W. (2009). Early development of quantity to number-word linkage as a precursor of mathematical school achievement and mathematical difficulties: Findings from a four-year longitudinal study. Learning and Instruction, 19(6), 513–526.
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/Revue canadienne des sciences du comportement, 41(2), 55.
NCTM. (2006). Curriculum focal points for prekindergarten through grade 8 mathematics: A quest for coherence. Reston, VA: National Council of Teachers of Mathematics.
Sarama, J., & Clements, D. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York: Routledge.
Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4–14.
Smith, E. E., Shoben, E. J., & Rips, L. J. (1974). Structure and process in semantic memory: A featural model for semantic decisions. Psychological Review, 81(3), 214.
Starkey, P., Klein, A., Chang, I., Dong, Q., Pang, L., & Zhou, Y. (1999, April). Environmental supports for young children’s mathematical development in China and the United States. Paper presented at the meeting of the Society for Research in Child Development, Albuquerque, NM.
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.
Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics, with special reference to limits and continuity. Educational Studies in Mathematics, 12, 151–169.
Tirosh, D., Tsamir, P., & Levenson, E. (2011). Using theories to build kindergarten teachers’ mathematical knowledge for teaching. In K. Ruthven & T. Rowland (Eds.), Mathematical knowledge in teaching (pp. 231–250). Dordrecht: Springer.
Tsamir, P., Tirosh, D., Barkai, R., Levenson, & Tabach, M. (2014a). Subject-matter and pedagogical content knowledge and self-efficacy for teachers: The case of kindergarten teachers and geometry. Maof V’Maeseh, 16, 19–42 [In Hebrew].
Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014b). 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.
Tsamir, P., Tirosh, D., & Levenson, E. (2008). Intuitive nonexamples: The case of triangles. Educational Studies in Mathematics, 69(2), 81–95.
van Hiele, P. M., & van Hiele, D. (1958). A method of initiation into geometry. In H. Freudenthal (Ed.), Report on methods of initiation into geometry. Walters: Groningen.
Vandell, D. L., Belsky, J., Burchinal, M., Steinberg, L., & Vandergrift, N. (2010). Do effects of early child care extend to age 15 years? Results from the NICHD study of early child care and youth development. Child Development, 81(3), 737–756.
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This research was supported by the Israel Science Foundation (grant No. 654/10).
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Tsamir, P., Tirosh, D., Levenson, E., Barkai, R., Tabach, M. (2016). Developing a Mathematically Rich Environment for 3-Year-Old Children: The Case of Geometry. In: Meaney, T., Helenius, O., Johansson, M., Lange, T., Wernberg, A. (eds) Mathematics Education in the Early Years. Springer, Cham. https://doi.org/10.1007/978-3-319-23935-4_18
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