Routes on a Cubic Grid and on a Chessboard

• Autorzy: Kopka J.
• Konferencja: X Polish-Czech Mathematical School (10 ; 04-07.06.2003 ; Poraj near Częstochowa, Poland)
• Języki publikacji: EN

Abstrakty

EN

Here we present two different problems for investigation: counting the routes on a cubic grid and counting the paths on a chessboard. In both investigations we can use two different strategies: a) the strategy "of jumping" and b) the strategy "of going step- by-step", The first strategy leads to combinatorial formulas and the second to number triangles. We feel the strategy of "going step-by-step" is more important at this moment.

Słowa kluczowe

EN

routes on a cubic grid; routes on a chessboard; investigation of routes; investigation of paths

PL

trasy na siatce sześciennej; trasy na szachownicy; badanie tras; badanie ścieżek

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2003
• Tom: Vol. 9
• Strony: 149--153
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Kopka J.

• J.E. Purkyně University, České mládeže 8, 400 96 Ústí nad Labem, Czech Republic

Bibliografia

• [1] J. Cofman, What to Solve?, New York, Oxford University, 1990.
• [2] L. Frobisher, Insights into Teaching Mathematics, London, University of Leeds, 1996.
• [3] J. Kropka, Problem Posing and Learning of Mathematics In: Mathematical Investigations in School Mathematics, Oslno, University of Oslo, 1997.
• [4] J. Kopka, Hrozny problěmu ve Školské matematice (Clusters of problems in school mathematics), Ustf nad Labem, UJEP, 1999.
• [5] J. Kopka, G. Feissner, Investigative Approach in School Mathematics, In: Acta Fac. Paed. Univ. Tyrnaviensis, Ser. C, No. 6, 2002