Gaining mathematical skills by using ,,concrete” manipulatives

• Autorzy: Florková M.
• Języki publikacji: EN

Abstrakty

EN

In this issue we propose the reasons why it is important to use a variety of “concrete” manipulatives in the classroom starting from the earliest ages. And for the teachers who can see the importance of using manipulatives in their classroom, we offer some new innovative ideas.

Słowa kluczowe

EN

manipulator; teaching mathematics; mathematical knowledge

PL

manipulator; umiejętności matematyczne; dydaktyka matematyki; wiedza matematyczna

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2007
• Tom: Vol. 12
• Strony: 191--197
• Opis fizyczny: Bibliogr. 14 poz., rys.

Twórcy

autor

Florková M.

• Pedagogical Faculty, Catholic University in Ružomberok Námestie Andreja Hlinku 56, Ružomberok, Slovak Republic

Bibliografia

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• [2] D.H. Clements, S. McMillen. Rethinking ‘concrete’ manipulatives. In: Teaching Children Mathematics, Vol. 2, No. 5, 270-279, 1996.
• [3] M. Florková. Rozvoj priestorovej predstavivosti na hodinách geometrie v 1. ročníku ZŠ. In: Zborník príspevkov konferencie Induktívne a deduktívne prístupy v matematike, Trnavská univerzita, 62-67, Trnava 2005.
• [4] L. Frobisher. Learning to Teach Number (a handbook for students and teachers in primary school). Cheltenham, UK: Nelson Thornes Ltd. 2002.
• [5] G. Groen, C. Kieran. In Search of Piagetian Mathematics. In: P.H. Ginsburg; The Development of Mathematical Thinking, II. series, New York, Academic Press, 1983.
• [6] P. Hanzel. Hračka a prirodzené čislo v predškolskom veku. In: Hračky - edukačné médiá v Ludotéke, 79-85, Brezno, 2001.
• [7] D. Jirotková, G. Littler. Investigations of cognitive structures from tactile perceptions of geometrical solids. In: A. Cockburn (Ed.): Proceeding of PME26, University of East Anglia, UK, 2002.
• [8] MŠSR Učebné osnovy matematiky pre 1. stupeň základných škôl. 1995.
• [9] P.M. Van Hiele. Developing Geometric Thinking through Activities That Begin with Play, Teaching Children Mathematics, vol. 5, 6, 310- 316, 1999.
• [10] A.J. Wiebe. Spatial Vizualization. AIMS Education Foundation, 1997.
• [11] URL: http://mason.gmu.edu/~mmankus/Handson/manipulatives.htm, 2006.
• [12] URL: http://nlvm.usu.edu/en/nav/vlibrary.html 2007.
• [13] URL: http://www.arcytech.org/java/patterns/patterns_j.shtml, 2007.
• [14] U. Wilensky. Abstract mediations on the concrete and concrete implicat for mathematics education. In: I. Harel, S. Papert. Constructionism, Norwood, Ablex, 193-199, 1991.