Development of combinatorial thinking by means of non-standard geometric problems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F21%3A73611441" target="_blank" >RIV/61989592:15410/21:73611441 - isvavai.cz</a>

Result on the web

<a href="https://library.iated.org/view/PASTOR2021DEV" target="_blank" >https://library.iated.org/view/PASTOR2021DEV</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21125/edulearn.2021.0698" target="_blank" >10.21125/edulearn.2021.0698</a>

Result language

angličtina

Original language name

Development of combinatorial thinking by means of non-standard geometric problems

Original language description

Both combinatorics and geometry are very important components of mathematics education, so it seems to be useful to develop the combinatorial thinking by means of non-standard geometric problems. Combinatorial geometry studies geometric objects and their combinatorial structure. Specially, covering chessboard problems can be very attractive for students. For example, the well-known Gomory problem deals with the situation when we remove two arbitrary squares of different colors from the chessboard, and then we ask if it is possible to cover the remaining portion of the board with dominoes without disturbing the original piece. In our paper, we will focus on geometric problems developing combinatorial thinking from the Mathematical Kangaroo competition, Junior category. We will show examples of such interesting problems with their solutions. We will also show how to use Geogebra program during solution of some non-standard geometric problems (requiring combinatorial considerations), thus helping to develop digital literacy of pupils. We will look, using Spearman&apos;s correlation coefficient, at the relationship between the number of examples requiring combinatorial considerations and the number of solvers with excellent results.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

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OECD FORD branch

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

EDULEARN21 Proceedings

ISBN

978-84-09-31267-2

ISSN

2340-1117

e-ISSN

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Number of pages

4

Pages from-to

3287-3290

Publisher name

International Association of Technology, Education and Development (IATED)

Place of publication

Madrid

Event location

Palma

Event date

Jul 5, 2021

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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