STUDENTS' UNDERSTANDING OF AXIAL AND CENTRAL SYMMETRY
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10433181" target="_blank" >RIV/00216208:11320/21:10433181 - isvavai.cz</a>
Výsledek na webu
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=f9so6Fs_l7" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=f9so6Fs_l7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.7160/eriesj.2021.140103" target="_blank" >10.7160/eriesj.2021.140103</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
STUDENTS' UNDERSTANDING OF AXIAL AND CENTRAL SYMMETRY
Popis výsledku v původním jazyce
The paper focuses on students' understanding of the concepts of axial and central symmetries in a plane. Attention is paid to whether students of various ages identify a non-model of an axially symmetrical figure, know that a line segment has two axes of symmetry and a circle has an infinite number of symmetry axes, and are able to construct an image of a given figure in central symmetry. The results presented here were obtained by a quantitative analysis of tests given to nearly 1,500 Czech students, including pre-service mathematics teachers. The paper presents the statistics of the students' answers, discusses the students' thought processes and presents some of the students' original solutions. The data obtained are also analysed with regard to gender differences and to the type of school that students attend. The results show that students have two principal misconceptions: that a rhomboid is an axially symmetrical figure and that a line segment has just one axis of symmetry. Moreover, many of the tested students confused axial and central symmetry. Finally, the possible causes of these errors are considered and recommendations for preventing these errors are given.
Název v anglickém jazyce
STUDENTS' UNDERSTANDING OF AXIAL AND CENTRAL SYMMETRY
Popis výsledku anglicky
The paper focuses on students' understanding of the concepts of axial and central symmetries in a plane. Attention is paid to whether students of various ages identify a non-model of an axially symmetrical figure, know that a line segment has two axes of symmetry and a circle has an infinite number of symmetry axes, and are able to construct an image of a given figure in central symmetry. The results presented here were obtained by a quantitative analysis of tests given to nearly 1,500 Czech students, including pre-service mathematics teachers. The paper presents the statistics of the students' answers, discusses the students' thought processes and presents some of the students' original solutions. The data obtained are also analysed with regard to gender differences and to the type of school that students attend. The results show that students have two principal misconceptions: that a rhomboid is an axially symmetrical figure and that a line segment has just one axis of symmetry. Moreover, many of the tested students confused axial and central symmetry. Finally, the possible causes of these errors are considered and recommendations for preventing these errors are given.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
50301 - Education, general; including training, pedagogy, didactics [and education systems]
Návaznosti výsledku
Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Ostatní
Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Journal on Efficiency and Responsibility in Education and Science
ISSN
2336-2375
e-ISSN
—
Svazek periodika
14
Číslo periodika v rámci svazku
1
Stát vydavatele periodika
CZ - Česká republika
Počet stran výsledku
13
Strana od-do
28-40
Kód UT WoS článku
000636479600004
EID výsledku v databázi Scopus
2-s2.0-85104412667