Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F70883521%3A28150%2F20%3A63525904" target="_blank" >RIV/70883521:28150/20:63525904 - isvavai.cz</a>
Result on the web
<a href="https://www.mdpi.com/931512" target="_blank" >https://www.mdpi.com/931512</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3390/math8122257" target="_blank" >10.3390/math8122257</a>
Alternative languages
Result language
angličtina
Original language name
Relations between Generalization, Reasoning and Combinatorial Thinking in Solving Mathematical Open-Ended Problems within Mathematical Contest
Original language description
Algebraic thinking, combinatorial thinking and reasoning skills are considered as playing central roles within teaching and learning in the field of mathematics, particularly in solving complex open-ended mathematical problems Specific relations between these three abilities, manifested in the solving of an open-ended ill-structured problem aimed at mathematical modeling, were investigated. We analyzed solutions received from 33 groups totaling 131 students, who solved a complex assignment within the mathematical contest Mathematics B-day 2018. Such relations were more obvious when solving a complex problem, compared to more structured closed subtasks. Algebraic generalization is an important prerequisite to prove mathematically and to solve combinatorial problem at higher levels, i.e., using expressions and formulas, therefore a special focus should be put on this ability in upper-secondary mathematics education.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
50302 - Education, special (to gifted persons, those with learning disabilities)
Result continuities
Project
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Continuities
N - Vyzkumna aktivita podporovana z neverejnych zdroju
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
12
Country of publishing house
CH - SWITZERLAND
Number of pages
15
Pages from-to
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UT code for WoS article
000602091700001
EID of the result in the Scopus database
2-s2.0-85098508366