• East Asian mathematical journal
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• v.37 no.4
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• pp.355-379
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• 2021

In this article, we investigated plane figures introduced in elementary school mathematics in the perspective of traditional classification, and also analyzed plane figures focused on the invariance of plane figures out of traditional classification. In the view of traditional classification, how to treat trapezoids was a key argument. In the current mathematics curriculum of the elementary school mathematics, the concept of sliding, flipping, and turning are introduced as part of development activities of spatial sense, but it is rare to apply them directly to figures. For example, how are squares and rectangles different in terms of symmetry? One of the main purposes of geometry learning is the classification of figures. Thus, the activity of classifying plane figures from a symmetrical point of view has sufficiently educational significance from Klein's point of view.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.509-531
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• 2011

This study is to determine if teaching of measuring the area of plane figures in elementary school is successful. While they teach to measure the area of figures in elementary school, students don't measure the segment of the figure directly until now. The figures are presented with auxiliary line and numerical information. When students measure the area of such figure, they do only substitute the number and calculate it. This study found that such teaching is not successful and propose the new teaching method of measuring the plane figures.

• Journal of the Korean School Mathematics Society
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• v.13 no.1
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• pp.1-21
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• 2010

This paper analyzed the contents and instructional methods of various plane figures presented mainly in a series of elementary mathematics textbooks on the basis of the analysis of related contents in the 2007 revised national mathematics curriculum. As such, this paper provided detailed analyses of how textbooks would implement the vision and intention of the curriculum, how the definition of each plane figure in the textbooks might be different from its mathematical definition, and how textbooks would introduce each plane figure. It is expected that the issues and suggestions stemming from this analysis will be informative in designing new instructional materials.

• Journal for History of Mathematics
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• v.37 no.3
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• pp.59-75
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• 2024

This study aims to analyze Joseon mathematical knowledge and its application to real world. The mathematical knowledge refers to measuring the area of plane figures, known as square-shaped land(方田). Its application is land surveys(量田) conducted for taxation purposes. Specifically, this study analyzes the correlation between the related contents in representative mathematical books of the Joseon Dynasty, such as MuksaJipsanbub (17th century), Guiljib (18th century), and SanhakIbmun (18th century), and the shapes and areas of plane figures presented in GwangmuYangan (20th century). The analysis reveals both differences and similarities in the measured area between mathematical books and real world land surveys. While most results of the land survey align with the results obtained from mathematical methods, differences arise due to variations in real measurement of lengths and given conditions in the problems. Additionally, various aspects such as the focus on rectangles in land surveys, the proportionality and relativity of lengths, types of approximation, composed shapes, the purpose of problem solving, and reasoning of unspecified shapes or measures are discussed.

• 제어로봇시스템학회:학술대회논문집
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• 1999.10a
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• pp.222-225
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• 1999

We discuss the symmetry for computer-generated figures based on complex dynamics. The figures have not continuous lines, and they axe plotted on a specific region in the complex plane. They have different properties from classical figures. But we believe that they are variety of figures. The symmetric discussions are necessary because of their properties.

• Journal of the Korean School Mathematics Society
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• v.15 no.3
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• pp.429-451
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• 2012

This paper examined eight novice elementary teachers' knowledge in terms of the types and sources of students' errors and teaching strategies on plane figures through a questionnaire and teachers' discussion. The teachers tended to predict students' diverse error types, but they attributed the sources of such errors mainly to their characteristics. The analysis of teachers' responses of teaching strategies revealed that they recognized the importance of the teacher's clear explanation and students' own problem-solving, while they were somewhat negative in presenting diverse examples and classifying, drawing, or constructing figures. Building on these results, this paper provides the implications for novice teachers' professional development programs.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.141-159
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• 2011

The purpose of the present research is to suggest implications on guidance of height concept understanding of figures by investigating concept understanding how sixth grade's elementary school students understand a height concept of figures. In order to achieve this research purpose, a height concept understanding test of figures was carried out with the target of 54 sixth grade students who already learned a height concept of plane figures and three-dimensional solid figures and thus this research analyzed characteristics and errors appeared there. When analyzing its characteristics and errors interviews with students were carried out for in-depth analysis. And as a result the following implications could be obtained. First, students felt more difficulty in measuring height in a figure that its lower base is not horizontal in questions measuring height of a plane figure. Second, there were cases that students associate a height concept of figures with experience of height experienced in daily life. Third, students were feeling difficulty in linguistically expressing a concept called height that oneself has. Expressing a concept linguistically plays an important role in understanding a concept clearly. Accordingly activities for raising this mathematical communication ability are required, Fourth, the present research can suggest implications in designing classes that students can clearly understand the height concept of figures.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.1
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• pp.129-149
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• 2020

This study reports the results of analyzing the learning opportunities about the plane figures provided by the first and second grade mathematics textbooks. The plane figures that students learn during this period are important in that it serves as the basis for the later geometric education. With assumptions that mathematics learning is related to the problem of meaning and that meaning-related activity can be viewed as a symbolic activity, it adopts and uses the perspectives and tools of semiotics to analyze the learning opportunities provided by the mathematics textbook. The analysis of the semiotic process of the textbook activities revealed the significance of learning opportunities and helped to distinguish the seemingly similar learning opportunities. Based on the results of the analysis, I discussed the link between learning opportunities provided by grade 1 and grade 2 mathematics textbooks. Finally, the paper concludes with suggestions and conclusions and suggestions for further research.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.253-263
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• 2014

In this paper we review an axiomatic definition of the area of plane figures with area axioms, discuss what the area axioms mean, and analyze the contents about the area of plane figures in elementary school mathematics from the view point of area axioms. So we evaluate which aspects of the concept of area are emphasized or deemphasized in the current elementary school mathematics textbook.

• Education of Primary School Mathematics
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• v.2 no.1
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• pp.65-73
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• 1998

The purpose of this study is to investigate significant differences of structural knowledges among the groups(high, middle, low) when the 6th grade subjects structured the concepts of the plane figures, triangle and quadrangle, by concept maps, and to analyse the features of concept maps according to hierarchy. For this purpose, the following two research contents were investigated： 1. Investigating significant differences of structural knowledge in the concepts of the plane figures using concept maps among the groups(high, middle, low). 2. Analysing the features of concept maps according to hierarchy. The structural knowledges represented on the concept maps of triangle and quadrangle which were drawn by the subjects were analysed by propositions, hierarchies, and cross-links. Subject-self Reports about how to make the concept maps were used to analyse the features of concept maps according to hierarchy. The conclusions drawn from the results were as fellows： First, there were significant differences among the groups in proposition links. Second, there wasn't my significant difference among the groups in hierarchy. Third, there were significant differences among the groups in cross-links, and Fourth, the results of analysing the concept maps by hierarchy showed that there were differences among the individuals in constructing the knowledges.