Abstract
The paper presents the results of an experiment conducted among pupils of third grade classes (aged 9–10 years) in ten randomly selected primary schools, the effects of which were evaluated using the K3 logical and mathematical competence test. The aim of the research was to verify the effectiveness of the EduMata didactic aid built around a problem-based approach based on Piaget’s theory of constructivism. The scope studied included mathematical competences in the areas of calculation, geometry and word problems. The research showed that the experimental groups provided with educational support during their lessons showed significantly increased final versus initial results as demonstrated by the K3 mathematical competence test. The control group, on the other hand, did not produce such significant pretest and post-test result difference.
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References
Bruner, J., & Haste, H. (1987). Making sense. In The child’s construction of the world. New York: Methuen.
Grusczyk-Kolczyńska, E. (2012). O dzieciach matematycznie uzdolnionych. [ang. About mathematically gifted children]. Red. E. Gruszczyk-Kolczyńska, Wyd. Nowa Era. Chapter: Wnioskowanie uzdolnieniach matematycznych. Wyniki badań, interpretacje i wnioski. [ang. Infering mathematical aptitudes. Research results, interpretations and conclusions] (pp. 340–365), Warszawa.
Grusczyk-Kolczyńska, E. (2015). O kryzysie edukacji matematycznej na przykładzie pierwszego roku nauki szkolnej. Co trzeba zmienić, żeby dzieci mogły odnosić sukcesy w nauce matematyki. [ang. On the crisis of mathematical education on the example of the first year of schooling. What you need to change so that your children can succeed in learning math.] In Uczenie się dzieci. Myślenie i działanie. [ang. Learning children. Thinking and acting.] red. J. Malinowska i T. Neckar-Ilnicka, Wydawnictwo EPIDEIXIS.
Majewska, K. (2014). Efektywność interaktywnej formy nauczania z użyciem tablicy multimedialnej. (ang. Efficiency of the interactive form of teaching with the use of a multimedia board). Wyd. E-mentor, 1(63), 31–40.
Piaget, J. (1966). Studies on child psychology. Warszawa: PWN.
Piaget, J., & Inhelder, B. (1970). From the logic of a child to the logic of adolescents. A discussion on the development of formal operating structures. Wyd. PWN.
Piazza, M. (2011). Neurocognitive start-up tools for symbolic number representations. In Time and number in the brain by Stanislas Dehaene and Elizabeth Brannon (pp. 267–286). London: Elsevier.
Piazza, M., Pinel, P., Le Bihan, D., & Dehaene, S. (2007). A magnitude code common to numerosities and number symbols in human intraparietal cortex. Neuron, 53(2), 293–305.
Pinker, S. (1995). Language Instynkt. New York: Peungwin Books.
Raszka, R. (2011). Integrowanie matematyki z innymi obszarami dziecięcego poznawania. [ang. Integrating mathematics with other areas of childhood learning]. Wyd. TWP, Warszawa, In An integral system in child’s education: contexts and consequences of changes (pp. 255–266).
Report. (2014). Research report: A diagnosis of mathematical skills. Retrieved from http://eduentuzjasci.pl/.../ibe-raport-diagnoza-umiejetnosci-matematycznych-DUMa.pdf [25.03.2018].
Report. (2015a). Research report: Mathematical competences of third grade pupils. Retrieved from http://eduentuzjasci.pl/publikacje-ee-lista/raporty/258-raport-z-badania/ibe-ee-raport-k3-mat/1269-ibe-ee-raport-k3-mat.html [25.03.2018].
Report. (2015b). Research report: Needs of teachers of early education and mathematics in terms of professional development. Retrieved from http://eduentuzjasci.pl/publikacje-ee-lista/raporty/239-raport-z-badania/badania-potrzeb-nauczycieli-edukacji-wczesnoszkolnej-i-nauczycieli-matematyki-w-zakresie-rozwoju-zawodowego-bpn/1241-badania-potrzeb-nauczycieli-edukacji-wczesnoszkolnej-i-nauczycieli-matematyki-w-zakresie-rozwoju-zawodowego-bpn.html [25.03.2018].
Report. (2016/2017). Research report: Education. Retrieved from https://stat.gov.pl/obszary-tematyczne/edukacja/edukacja/oswiata-i-wychowanie-w-roku-szkolnym-20162017,1,12.html
Semadeni, Z. (2016). Podejście konstruktywistyczne do matematycznej edukacji wczesnoszkolnej. (ang. Constructivist approach to mathematical early childhood education). Wyd. ORE, Warszawa 2016.
Sessoms, D. (2008). Interactive instruction: Creating interactive learning environments through tomorrow’s teachers. International Journal of Technology in Teaching and Learning, 4(2), 86–96.
Siwek, H. (2011). System integralny w edukacji dziecka: konteksty i konsekwencje zmian. [ang. An integral system in child’s education: contexts and consequences of changes]. Wyd. TWP, Warszawa.
Snow, C., Bornstein, M. H., & Bruner, J. S. (1989). Interaction in human development.
Spelke, E. (2005). Differences in intrinsic aptitude for mathematics and science. American Psychologist, 60(9), 950–958.
Wygotski, L. S. (1989). Thinking and speech. Wyd. PWN.
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Kopczyński, T., Gałuszka, A. (2019). Reinforcement of Logical and Mathematical Competences Using a Didactic Aid Based on the Theory of Constructivism. In: Smyrnova-Trybulska, E., Kommers, P., Morze, N., Malach, J. (eds) Universities in the Networked Society. Critical Studies of Education, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-030-05026-9_16
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