Abstract
The present study investigates and compares the influence of teaching Realistic Mathematics on the development of mathematical competence in kindergarten. The sample consisted of 231 Greek kindergarten students. For the implementation of the survey, we conducted an intervention, which included one experimental and one control group. Children in the experimental group were taught Realistic Mathematics according to the principles of Realistic Mathematics Education. The control group was taught mathematics following the basic pedagogical principles of curriculum for kindergarten students. In order to evaluate the mathematical performance of children we used the Test of Early Mathematics Ability (TEMA-3). The results showed that the teaching technique with the use of Realistic Mathematic Education contributed significantly to the development of mathematical competence of young children. Moreover, factors such as gender, age and nonverbal cognitive ability, did not seem to differentiate the development of mathematical competence of children.
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Aunola, K., Leskinen, E., Lerkkanen, M. K., & Nurmi, J. E. (2004). Developmental dynamics of math performance from preschool to grade 2. Journal of Educational Psychology, 96, 699–713.
Balfanz, R., Ginsburg, H. P., & Greenes, C. (2003). The Big Math for Little Kids Early Childhood Mathematics Program. Teaching Children Mathematics, 9(5), 264–268.
Bowman, B. T., Donovan, M. S., & Burns, M. S. (Eds.). (2001). Eager to learn: Educating our preschoolers. Washington, DC: National Academy Press.
Buys, Κ. (2008). Pre-school years—Emergent numeracy. In M. Van den Heuvel-Panhuizen (Ed.), Children learn mathematics (pp. 25–31). Rotterdam/Tapei: Sense Publishers.
Chard, D. J., Baker, S. K., Clarke, B., Jungjohann, K., Davis, K., & Smolkowski, K. (2008). Preventing early mathematics difficulties: The feasibility of a rigorous kindergarten mathematics curriculum. Learning Disability Quarterly, 31(1), 11–20.
Clements, D. H. (2001). Mathematics in the preschool. Teaching Children Mathematics, 7, 270–275.
Clements, D. H., & Sarama, J. (2007). Effects of a preschool mathematics curriculum: Summative research on the Building Blocks project. Journal for Research in Mathematics Education, 38, 136–163.
Clements, D. H., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York: Routledge.
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.
Clements, D. H., Sarama, J., & DiBiase, A. M. (Eds.). (2003). Engaging young children in mathematics: Standards for early childhood mathematics education. London: Routledge.
Cohen, L., Manion, L., & Morrison, K. (2007). Research methods in education. London: Routledge/Falmer.
Copley, J. (1999). Mathematics in the early years. Reston, VA: National Council of Teachers of Mathematics.
De Lange, J. (1996). Using and applying mathematics in education. In A. J. Bishop, et al. (Eds.), International handbook of mathematics education (pp. 49–97). Dordrecht: Kluwer.
Doliopoulou, Ε. (2007). Mathematics as a form and medium of education in the Greek kindergarten. European Early Childhood Education Research Journal, 2(1), 61–78.
Endsley, M. R. (2011). Designing for situation awareness: An approach to user-centered design. Boca Raton, FL: CRC Press.
Freudenthal, H. (1983). Didactical phenomenology of mathematical structures. Dordrecht: Kluwer.
Freudenthal, H. (1991). Revisiting mathematics education. China Lectures. Dordrecht: Kluwer.
Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), 293–304.
Ginsburg, H. P. (1999). Challenging preschool education: Meeting the intellectual needs of all children. In B. Presseisen (Ed.), Teaching for intelligence I: A collection of articles (pp. 287–304). Arlington Heights, IL: Skylight.
Ginsburg, H. P. (2004). Little children, big mathematics: Learning and teaching in the pre-school. In A. D. Cockburn & E. Nardi (Eds.), Proceedings of the 26th conference of the international group for the psychology of mathematics education (pp. 3–14). East Anglia: University of East Anglia.
Ginsburg, H. P., & Baroody, A. J. (2003). Test of Early Mathematics Ability-third edition. Austin, TX: Pro-Ed.
Ginsburg, H. P., Galanter, M., & Morgenlander, M. (2004). Big Math for Little Kids Workshops. New York: Teachers College Innovations.
Gravemeijer, K. (1994). Developing realistic mathematics education. Utrecht: CD-ß Press/Freudenthal Institute.
Helm, J. H., & Katz, L. G. (2011). Young investigators: The project approach in the early years. Teachers College Press.
Jacobi-Vessels, J. L., Brown, E. T., Molfese, V. J., & Do, A. (2014). Teaching preschoolers to count: Effective strategies for achieving early mathematics milestones. Early Childhood Education Journal, 1–9. doi:10.1007/s10643-014-0671-4.
Jordan, N. C., Kaplan, D., Nabors Oláh, L., & Locuniak, M. N. (2006). Number sense growth in kindergarten: A longitudinal investigation of children at risk for mathematics difficulties. Child Development, 77, 153–175.
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.
Kilday, C. R., & Kinzie, M. B. (2009). An analysis of instruments that measure the quality of mathematics teaching in early childhood. Early Childhood Education Journal, 36(4), 365–372.
Linder, S. M., Powers-Costello, B., & Stegelin, D. A. (2011). Mathematics in early childhood: Research-based rationale and practical strategies. Early Childhood Education Journal, 39(1), 29–37.
Locuniak, M. N., & Jordan, N. C. (2008). Using kindergarten number sense to predict calculation fluency in second grade. Journal of Learning Disabilities, 41(5), 451–459.
Nunes, T., & Bryant, P. (1996). Children doing mathematics. Hoboken: Wiley.
Pascale, M. J., de Engel, A., Conway, A. R. A., & Gathercole, S. E. (2010). Working memory and fluid intelligence in young children. Intelligence, 38, 552–561.
Perry, B., & Dockett, S. (2002). Young children’s access to powerful mathematical ideas. In L. D. English (Ed.), Handbook of international research in mathematics education (pp. 81–112). Mahwah, NJ: Lawrence Erlbaum.
Raven, J. H. (1956). Guide to using the coloured progressive matrices. Sets A, AB, B. London: H. K. Lewis.
Sarama, J., & Clements, D. H. (2004). Building blocks for early childhood mathematics. Early Childhood Research Quarterly, 19(1), 181–189.
Shelton, J., Elliott, E. M., Matthews, R. A., Hill, B. D., & Gouvier, W. D. (2010). The relationships of working memory, secondary memory, and general fluid intelligence: Working memory is special. Journal of Experimental Psychology: Learning, Memory, and Cognition, 36, 813–820.
Shiakalli, M. A., & Zacharos, K. (2011). Mathematical problem solving in early education. Possibilities and prospects. In Proceedings of the OMEP European Conference, Nicosia-Cyprus.
Streenfland, L. (1993). The design of a mathematical course. A theoretical reflection. Educational Studies of Mathematics, 25, 109–135.
Treffers, A. (1991). Didactical background of a mathematics program for primary education. In L. Streefland (Ed.), Realistic mathematics education in primary school (pp. 21–56). Utrecht: Freudenthal Institute/CD-ß.
Treffers, A. (2008). Kindergarten 1 and 2—Growing number sense. In M. Van den Heuvel-Panhuizen (Ed.), children learn mathematics (pp. 31–43). Rotterdam/Tapei: Sense Publishers.
Van den Brink, F. J. (1989). Realistic arithmetic education to young children. Utrecht: OW and OC, Utrecht University.
Van den Brink, F. J. (1991). Realistic arithmetic education for young children. In L. Streefland (Ed.), Realistic mathematics education in primary school (pp. 77–92). Utrecht: Freudenthal Institute/CD-ß.
Van den Heuvel-Panhuizen, M. (1996). Assessment and realistic mathematics education. Utrecht: CD-ß Press Utrecht University.
Van Den Heuvel-Panhuizen, M. (2003). The didactical use of models in realistic mathematics education: An example from a longitudinal trajectory on percentage. Educational Studies in Mathematics, 54(1), 9–35.
Van den Heuvel-Panhuizen, M. (Ed.). (2008). Children learn mathematics: A learning-teaching trajectory with intermediate attainment targets for calculation with whole numbers in primary school. Rotterdam/Tapei: Sense Publishers.
Van den Heuvel-Panhuizen, M., & Wijers, M. (2005). Mathematics standards and curricula in the Netherlands. ZDM, 37(4), 287–307.
Wright, S. C., Taylor, D. M., & Ruggiero, K. M. (1996). Examining the potential for academic achievement among inuit children comparisons on the raven coloured progressive matrices. Journal of Cross-Cultural Psychology, 27(6), 733–753.
Zaranis, N., Kalogiannakis, M., & Papadakis, S. (2013). Using mobile devices for teaching realistic mathematics in kindergarten education. Creative Education, 4, 1–10.
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Papadakis, S., Kalogiannakis, M. & Zaranis, N. Improving Mathematics Teaching in Kindergarten with Realistic Mathematical Education. Early Childhood Educ J 45, 369–378 (2017). https://doi.org/10.1007/s10643-015-0768-4
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DOI: https://doi.org/10.1007/s10643-015-0768-4