Problems in Solving Non-Standard Mathematical Tasks

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15410%2F20%3A73605480" target="_blank" >RIV/61989592:15410/20:73605480 - isvavai.cz</a>

Výsledek na webu

<a href="https://obd.upol.cz/id_publ/333185366" target="_blank" >https://obd.upol.cz/id_publ/333185366</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.21125/iceri.2020.0291" target="_blank" >10.21125/iceri.2020.0291</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Problems in Solving Non-Standard Mathematical Tasks

Popis výsledku v původním jazyce

Non-standard tasks are one of the basic components of mathematics education. Many experts agree that the core of key competencies for life and work in the future world is the ability to solve non-standard tasks and problems. In these tasks, pupils have to solve a mathematical problem and discover a way, a method of solution, because their previous experience does not allow solve the problem. The procedure for solving a task is usually unknown and the solver looks for the way to the result, often in an original way. Solving non-standard tasks therefore requires deep concentration, invention and time. Usually, solutions and the creation of non-standard tasks are considered suitable for working with gifted pupils, because the tasks develop knowledge, metacognition and motivation. The degree of heuristics of non-standard tasks is a typical example when it is necessary to take into account not only the task itself, but also the competence of a solver. In our paper we will focus on the theoretical defining of non-standard tasks and their inclusion in mathematics education in curricular documents, which is followed by an analysis of solutions of pupils in lower secondary mathematics education. The aim of the paper is to find out the ways of pupils&apos; problem solving and to identify their problems in solving. The analysis of pupils&apos; problem solving is performed in the form of a case study, which includes the interviews, analysis of documents to characterize selected mathematical problems during solving, detection and identification of used procedures of solution and discovery of &quot;special&quot; performance of pupils.

Název v anglickém jazyce

Problems in Solving Non-Standard Mathematical Tasks

Popis výsledku anglicky

Non-standard tasks are one of the basic components of mathematics education. Many experts agree that the core of key competencies for life and work in the future world is the ability to solve non-standard tasks and problems. In these tasks, pupils have to solve a mathematical problem and discover a way, a method of solution, because their previous experience does not allow solve the problem. The procedure for solving a task is usually unknown and the solver looks for the way to the result, often in an original way. Solving non-standard tasks therefore requires deep concentration, invention and time. Usually, solutions and the creation of non-standard tasks are considered suitable for working with gifted pupils, because the tasks develop knowledge, metacognition and motivation. The degree of heuristics of non-standard tasks is a typical example when it is necessary to take into account not only the task itself, but also the competence of a solver. In our paper we will focus on the theoretical defining of non-standard tasks and their inclusion in mathematics education in curricular documents, which is followed by an analysis of solutions of pupils in lower secondary mathematics education. The aim of the paper is to find out the ways of pupils&apos; problem solving and to identify their problems in solving. The analysis of pupils&apos; problem solving is performed in the form of a case study, which includes the interviews, analysis of documents to characterize selected mathematical problems during solving, detection and identification of used procedures of solution and discovery of &quot;special&quot; performance of pupils.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

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

Projekt

—

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

—

Počet stran výsledku

5

Strana od-do

1018-1022

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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