Abstract
Recognizing and using patterns and structures play a pivotal role in learning mathematics. Recent research shows that children’s pattern and structure competencies are strongly linked to their general mathematical development. Furthermore, it is possible to foster pattern and structure competencies in young children. The study presented in this paper ties together these two main findings and asks if fostering pattern and structure competencies may even lead to advanced arithmetic achievement. Preliminary findings from an intervention study with 51 first grade students show an increase in the children’s arithmetic skills after five months of explicitly teaching pattern and structure during regular mathematics lessons.
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References
Cohen, J. (1988). Statistical power analysis for the behavioral sciences. Hillsdale: Erlbaum.
Doig, B., & de Lemos, M. (2000). I can do maths. Teacher’s guide and test booklets levels A and B. Camberwell, VIC: ACER Press.
Kaufmann, L., Nuerk, H.-C., Graf, M., Krinzinger, H., Delazer, M., & Willmes, K. (2009). Test zur Erfassung numerisch-rechnerischer Fertigkeiten vom Kindergarten bis zur 3. Klasse. Bern: Huber.
Kidd, J. K., Carlson, A. G., Gadzichowski, K. M., Boyer, C. E., Gallington, D. A., & Pasnak, R. (2013). Effects of patterning instruction on the academic achievement of 1st-grade children. Journal of Research in Childhood Education, 27(2), 224–238.
Kidd, J. K., Pasnak, R., Gadzichowski, K. M., Gallington, D. A., McKnight, P., Boyer, C. E., et al. (2014). Instructing first-grade children on patterning improves reading and mathematics. Early Education & Development, 25(1), 134–151.
Lüken, M. M. (2012). Young children’s structure sense. Journal für Mathematik-Didaktik, 33(2), 263–285.
Lüken, M. M. (2018). Repeating pattern competencies in three- and four-year old Kindergarteners. In I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank & C. Benz (Eds.), Contemporary research and perspectives on early childhood mathematics education (This book).
Mulligan, J. T. (2011). Towards understanding of the origins of children’s difficulties in mathematics learning. Australian Journal of Learning Difficulties, 16(1), 19–39.
Mulligan, J. T., & Mitchelmore, M. C. (2009). Awareness of pattern and structure in early mathematical development. Mathematics Education Research Journal, 21(2), 33–49.
Mulligan, J. T., & Mitchelmore, M. C. (2013). Early awareness of pattern and structure. In L. English & J. Mulligan (Eds.), Reconceptualizing early mathematics learning (pp. 29–45). New York: Springer.
Mulligan, J. T., & Mitchelmore, M. C. (2018). Promoting early mathematical structural development through an integrated assessment and pedagogical program. In I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank & C. Benz (Eds.), Contemporary research and perspectives on early childhood mathematics education (This book).
Mulligan, J. T., Mitchelmore, M. C., English, L. D., & Crevensten, N. (2013). Reconceptualizing early mathematics learning. In L. D. English & J. T. Mulligan (Eds.), Reconceptualizing early mathematics learning (pp. 47–66). New York: Springer.
Mulligan, J. T., Mitchelmore, M. C., & Stephanou, A. (2015). Pattern and structure assessment (PASA). An assessment program for early mathematics (F–2). Camberwell, VIC: ACER Press.
Mulligan, J. T., Prescott, A., Papic, M., & Mitchelmore, M. C. (2006). Improving numeracy through a pattern and structure mathematics awareness program (PASMAP). In P. Grootenboer, R. Zevenbergen, & M. Chinnappan (Eds.), Identities, cultures and learning spaces. Proceedings of the 29th Annual Conference of the Mathematics Education Research Group of Australasia (Vol. 2, pp. 376–383). Canberra: MERGA.
National Council of Teachers of Mathematics (NCTM). (2013). Mathematics in early childhood learning: A Position of the National Council of Teachers of Mathematics. Reston, VA: NCTM.
NSW Department of Education and Training. (2002). Count me in too: A professional development package. Sydney: NSW Department of Education and Training.
Papic, M. M., Mulligan, J. T., & Mitchelmore, M. C. (2011). Assessing the development of preschoolers’ mathematical patterning. Journal for Research in Mathematics Education, 42(3), 237–268.
Rasch, B., Friese, M., Hofmann, W., & Naumann, E. (2014). Quantitative Methoden 1. Einführung in die Statistik für Psychologen und Sozialwissenschaftler (4th ed.). Berlin: Springer.
Schipper, W. (2002). Thesen und Empfehlungen zum schulischen und außerschulischen Umgang mit Rechenstörungen. Journal für Mathematik-Didaktik, 23(3/4), 243–261.
Sekretariat der Ständigen Konferenz der Kultusminister der Länder in der Bundesrepublik Deutschland. (2005). Bildungsstandards im Fach Mathematik für den Primarbereich. München: Luchterhand.
Tellegen, P. J., Laros, J. A., & Petermann, F. (2007). SON-R 2 1/2-7: Non-verbaler Intelligenztest. Göttingen: Hogrefe.
Threlfall, J. (1999). Repeating patterns in the early primary years. In A. Orton (Ed.), Pattern in the teaching and learning of mathematics (pp. 18–30). London: Cassell.
Wittmann, E. C., & Müller, G. N. (2007). Muster und Strukturen als fachliches Grundkonzept. In G. Walther, M. van den Heuvel-Panhuizen, D. Granzer, & O. Köller (Eds.), Bildungsstandards für die Grundschule: Mathematik konkret (pp. 42–65). Berlin: Cornelsen.
Wittmann, E. C., & Müller, G. N. (2012). Das Zahlenbuch 1. Klett: Schülerband. Stuttgart.
Woodcock, R. W., McGrew, K. S., & Mather, N. (2001). Woodcock-Johnson III tests of achievement. Itasca: Riverside Publishing.
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Lüken, M.M., Kampmann, R. (2018). The Influence of Fostering Children’s Patterning Abilities on Their Arithmetic Skills in Grade 1. In: Elia, I., Mulligan, J., Anderson, A., Baccaglini-Frank, A., Benz, C. (eds) Contemporary Research and Perspectives on Early Childhood Mathematics Education. ICME-13 Monographs. Springer, Cham. https://doi.org/10.1007/978-3-319-73432-3_4
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