School starters’ early structure sense
DOI:
https://doi.org/10.30827/pna.v7i1.6133Palabras clave:
Desarrollo matemático temprano, Identificación de patrones, Sentido estructuralResumen
I analyse low and high achieving children’s competences regarding pattern and structure at the beginning of formal schooling comparatively. The aim is to evaluate the range of school starters’ early structure sense. The results suggest overall high pre-instructional competences which, however, differ strongly between the mathematical high and low achievers. I name cognitive milestones for the development of a sound early structure sense.
Sentido estructural temprano de estudiantes al inicio de su escolarización
Analizo comparativamente las competencias relacionadas con patrones y estructura al comienzo de la escolaridad formal en escolares con bajo y alto rendimiento académico. El objetivo es evaluar la gama de sentido estructural de niños que se inician en la escuela. Los resultados sugieren en general altas competencias pre-instruccionales las cuales, no obstante, difieren considerablemente entre los escolares de bajo y alto rendimiento académico. Identifico hitos cognitivos para el desarrollo de un sentido estructural sólido.
Descargas
Citas
Economopoulos, K. (1998). What comes next? The mathematics of pattern in kindergarten. Teaching Children Mathematics, 5(4), 230-234.
Flick, U. (1999). Qualitative forschung. theorie, methoden, anwendungen in psychologie und sozialwissenschaften. Reinbek bei Hamburg, Germany: Rowohlt Taschenbuch Verlag.
Goldstein, E. B. (2002). Wahrnehmungspsychologie. Heidelberg, Germany: Spektrum, Akademischer Verlag.
Krajewski, K., Liehm, S., & Schneider, W. (2004). DEMAT 2+. Deutscher mathematiktest für zweite klassen. Manual. Göttingen, Germany: Beltz.
Lüken, M. M. (2010). The relation between early structure sense and mathematical development in primary School. In M. F. Pinto & T. F. Kawasaki (Eds.), Proceedings of the 34th Conference of the International. Group for the Psychology of Mathematics Education (Vol. 3, pp. 241-248). Belo Horizonte, Brazil: PME.
Lüken, M. M. (2011). Das erkennen von mustern und strukturen im mathematischen anfangsunterricht. Theoretische grundlegung und empirische forschung zur mustererkennungs- und strukturierungsfähigkeit von schulanfängern (Unpublished dissertation). Leibniz Universität, Germany.
Mulligan, J., & Mitchelmore, M. (2009). Awareness of pattern and structure in early mathematical development. Mathematics Education Research Journal, 21(2), 33-49.
Mulligan, J. T., Prescott, A., Papic, M., & Mitchelmore, M. (2006). Improving early 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 (pp. 376-383). Adelaide, Australia: MERGA.
Radford, L. (2010). The eye as a theoretician: Seeing structures in generalizing activities. For the Learning of Mathematics, 30(2), 2-7.
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, United Kingdom: Cassell.
Van Luit, J., Van de Rijt, B., & Pennings, A. (1994). The Utrecht Early Numeracy Test. Manual. Doetinchem, The Netherlands: Graviant Publishing Company.
Van Nes, F. (2009). Young children's spatial structuring ability and emerging number sense. Utrecht, The Netherlands: All Print.