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

The result's identifiers

  • Result code in 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>

  • Result on the web

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

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

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

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    ICERI2020 Proceedings

  • ISBN

    978-84-09-24232-0

  • ISSN

    2340-1095

  • e-ISSN

  • Number of pages

    5

  • Pages from-to

    1023-1027

  • Publisher name

    International Association of Technology, Education and Development (IATED)

  • Place of publication

    Madrid

  • Event location

    Sevilla

  • Event date

    Nov 9, 2020

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article