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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

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

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

EDULEARN21 Proceedings

ISBN

978-84-09-31267-2

ISSN

2340-1117

e-ISSN

—

Počet stran výsledku

4

Strana od-do

3287-3290

Název nakladatele

International Association of Technology, Education and Development (IATED)

Místo vydání

Madrid

Místo konání akce

Palma

Datum konání akce

5. 7. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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