Development of Combinatorial Thinking by means of Non-Standard Arithmetics Problems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F20%3A73605287" target="_blank" >RIV/61989592:15410/20:73605287 - isvavai.cz</a>

Výsledek na webu

<a href="https://obd.upol.cz/id_publ/333185173" target="_blank" >https://obd.upol.cz/id_publ/333185173</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Development of Combinatorial Thinking by means of Non-Standard Arithmetics Problems

Popis výsledku v původním jazyce

Dice and card games formed a significant part of the social life of nobles in the 16th and 17th centuries. This led to a great development of combinatorics and to writing of the first major works in this area (Blaise Pascal, Gottfried Wilhelm Leibniz, Jacob Bernoulli). The arithmetic triangle (Pascal&apos;s triangle) played a crucial role in all these works. Both combinatorics and arithmetic are very important components of mathematics education, so it seems to be useful to develope the combinatorial thinking by means of non-standard arithmetic problems. In our paper, we will present several non-standard arithmetic problems requiring combinatorial considerations. Among the others, we recall the problem named Sum and Product Puzzle which was published by Hans Freudethal in 1969. We show the modifications of this problem that can be accessible to pupils of different age groups. We will also show how to use MS Excel during solution of some non-standard arithmetic problems (requiring combinatorial considerations), thus helping to develop digital literacy of pupils. Using two tests, one focused on combinatorics and the other on arithmetic, we conducted research among prospective lower secondary school teachers to determine the dependence between their ability to solve combinatorial and arithmetic problems. We will use Spearmann&apos;s rank correlation coefficient for the collected data.

Název v anglickém jazyce

Development of Combinatorial Thinking by means of Non-Standard Arithmetics Problems

Popis výsledku anglicky

Dice and card games formed a significant part of the social life of nobles in the 16th and 17th centuries. This led to a great development of combinatorics and to writing of the first major works in this area (Blaise Pascal, Gottfried Wilhelm Leibniz, Jacob Bernoulli). The arithmetic triangle (Pascal&apos;s triangle) played a crucial role in all these works. Both combinatorics and arithmetic are very important components of mathematics education, so it seems to be useful to develope the combinatorial thinking by means of non-standard arithmetic problems. In our paper, we will present several non-standard arithmetic problems requiring combinatorial considerations. Among the others, we recall the problem named Sum and Product Puzzle which was published by Hans Freudethal in 1969. We show the modifications of this problem that can be accessible to pupils of different age groups. We will also show how to use MS Excel during solution of some non-standard arithmetic problems (requiring combinatorial considerations), thus helping to develop digital literacy of pupils. Using two tests, one focused on combinatorics and the other on arithmetic, we conducted research among prospective lower secondary school teachers to determine the dependence between their ability to solve combinatorial and arithmetic problems. We will use Spearmann&apos;s rank correlation coefficient for the collected data.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50302 - Education, special (to gifted persons, those with learning disabilities)

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

ICERI2020 Proceedings

ISBN

978-84-09-24232-0

ISSN

2340-1095

e-ISSN

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Počet stran výsledku

5

Strana od-do

1023-1027

Název nakladatele

International Association of Technology, Education and Development (IATED)

Místo vydání

Madrid

Místo konání akce

Sevilla

Datum konání akce

9. 11. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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