Methodological developments for the introduction of basic concepts from combinatorics

Authors

DOI:

https://doi.org/10.55630/mem.2023.52.172-179

Keywords:

learning models, addition of possibilities, multiplication of possibilities, permutation, variation, combination, compounds with repetitions and without repetitions

Abstract

Two methodological developments of introductory topics from Combinatorics for general educational preparation in the school mathematics course are proposed. An introduction to the concepts of addition and multiplication of probabilities, permutation, variation and combination is demonstrated. Emphasis is on assisted, conscious, inductive reaching of conclusions and formulas.

Author Biography

Desislava Georgieva, Veliko Tarnovo University, Veliko Tarnovo, Bulgaria

Desislava Georgieva
Faculty of Mathematics and Infromatics
Sts. Cyril and Methodius University of Veliko Tarnovo
1, Arch. Georgi Kozarov Blvd.
5000 Veliko Tarnovo, Bulgaria
e-mail: dmgeorgieva2@gmail.com

References

V. Bakoev. Diskretna matematika: mnozhestva, relatsii, kombinatorika. Sofiya, KLMN, 2014.

K. Bankov, T. Stoeva, I. Tsvetkova, D. Petrova. Kniga za uchitelya po matematika za 8-mi klas. Sofiya, Prosveta, 2017.

S. Grozdev, P. Rangelova, Yu. Krasteva. Idei za osashtestvyavane na propedevtika po kombinatorika 1.–7. klas. Yubileyna natsionalna nauchna konferentsiya s mezhdunarodno uchastie, Smolyan, 2012, 145–150.

K. Koleva. Logicheskite zadachi, V. Tarnovo, ITI, 2021, 978-619-7602-05-0.

Yu. Krasteva. Integratsionen model za obuchenie po kombinatorika v uchilishte. Avtoreferat na disertatsionen trud. Plovdiv, 2013. https://procedures.uni-plovdiv.bg/docs/procedure/321/730186130345095809.pdf.

Published

2023-04-01

How to Cite

[1]
Georgieva Д. 2023. Methodological developments for the introduction of basic concepts from combinatorics. Mathematics and Education in Mathematics. 52, (Apr. 2023), 172–179. DOI:https://doi.org/10.55630/mem.2023.52.172-179.

Issue

Section

Section C: Education in Mathematics