Využitie rovnováhy na páke pri odvodení niektorých súčtov
Utilization of Law of the Lever in Deriving Some Sums
Abstract
The aim of the contribution is to point out, that the utilization the law of the lever represents visual approach to deriving some formulae. The presented approach could be useful in the teaching process, for example by using the guided discovery method.
- Keywords
- sum of squares formula, law of the lever, visualisation
- Classification
- 97D50 , 11L03
References
Levi, M. 2009. The Mathematical Mechanics. Princeton: Princeton University Press, 2009. 197 p. ISBN 978 – 0-691-14020-9.
Edwards, C. H. 1979. The Historical Development of the Calculus. New York: Springer-Verlag, 1979. 346 p. ISBN 3 – 540 – 94313 – 7
Kline, M.: Mathematical thought from ancient to modern times (Volume 1). Oxford University Press, 1972. 412 s. ISBN 0-19-50135-7
Vargová, M. 2020. Ako súvisí súčet 12+22+?+??2 s multiplikatívnou tabuľkou? In. Dva dni s didaktikou matematiky 2020. Bratislava: Fakulta matematiky, fyziky a informatiky, Univerzita Komenského v Bratislave, 2020. ISBN 978-80-8147-095-0. 149 -154.
Shirali S. 2015. Counting Your Way to the Sum of Squares Formula. In Resonance – Journal of Science Education. 2015, Vol. 20, No. 10, ISSN 0973-712X [13.11. 2021]. dostupné:
https://www.ias.ac.in/describe/article/reso/020/10/0893-0902
Edwards, C. H. 1979. The Historical Development of the Calculus. New York: Springer-Verlag, 1979. 346 p. ISBN 3 – 540 – 94313 – 7
Kline, M.: Mathematical thought from ancient to modern times (Volume 1). Oxford University Press, 1972. 412 s. ISBN 0-19-50135-7
Vargová, M. 2020. Ako súvisí súčet 12+22+?+??2 s multiplikatívnou tabuľkou? In. Dva dni s didaktikou matematiky 2020. Bratislava: Fakulta matematiky, fyziky a informatiky, Univerzita Komenského v Bratislave, 2020. ISBN 978-80-8147-095-0. 149 -154.
Shirali S. 2015. Counting Your Way to the Sum of Squares Formula. In Resonance – Journal of Science Education. 2015, Vol. 20, No. 10, ISSN 0973-712X [13.11. 2021]. dostupné:
https://www.ias.ac.in/describe/article/reso/020/10/0893-0902