Abstract:This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden.
“…1 Some current critical points of teaching geometry in the Czech Republic have been described by Rendl and Vondrová (2013). Similar problems also occur in other countries (Adolphus, 2011;Mirna, 2018;Geçici and Aydın, 2020). Some of the problems in the current teaching geometry are related to a number of changes that have taken place in the past in our country.…”
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.
“…1 Some current critical points of teaching geometry in the Czech Republic have been described by Rendl and Vondrová (2013). Similar problems also occur in other countries (Adolphus, 2011;Mirna, 2018;Geçici and Aydın, 2020). Some of the problems in the current teaching geometry are related to a number of changes that have taken place in the past in our country.…”
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.
“…One of the factors affecting the complexity of problem-posing performance is the task format (e.g., Geçici & Aydın, 2020;Leung & Silver, 1997;Silber & Cai, 2017;Silver & Cai, 1996). Participants posed mathematically more complex problems in structured problem-posing activities compared to those in free activities (e.g., Silber & Cai, 2017) and in the tasks containing specific numbers compared with those without specific numbers (e.g., Leung & Silver, 1997).…”
Section: The Factors Affecting Posing Complex Problemsmentioning
This article may be used for research, teaching, and private study purposes.Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden.
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