• Journal of Educational Research in Mathematics
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• v.15 no.2
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• pp.197-213
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• 2005

There are not a few mathematical terms used as the undefined terms in school mathematics. The purpose of this study is to investigate critically the undefined mathematical terms in elementary school mathematics textbooks of Korea. As the result, the following suggestions are proposed. Firstly, It is not proper to use the terms which mathematics curriculum does not allow to use in elementary school math as the undefined terms in elementary school mathematics textbooks. Secondly, everyday-based undefined terms must be defined in elementary school mathematics textbook if their mathematical meanings are different from their everyday-based meanings. Thirdly, we need to consider the consistency when we use the undefined terms in elementary school mathematics. Fourthly, undefined terms should be define newly when the contexts in which they are used are changed or expanded. Finally, in elementary school mathematics textbooks, it is needed to define some purely mathematical undefined terms that there is no evidence which shows students grasp well their meaning.

• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.493-508
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• 2002

The purpose of this study is to compare the preferences of the school mathematical terms of South Korea and those of North Korea by administering a survey for learners, inservice teachers, and pre-service teachers, to establish the criteria of desirable school mathematical terms, and to evaluate the school mathematical terms of South Korea and those of North Korea based on the criteria. According to the result of the survey, the preferred mathematical terms are different from one group to the other, yet the mathematical terms of South Korea are more preferred. In general, terms written in pure Korean and concise terms which are easily understandable are favored. To discuss about the criteria of desirable school mathematical terms, four perspectives were set up, 1) the semantic perspective and the regulatory perspective, 2) terms written in pure Korean and Chinese letters, 3) terms from everyday language and technical terms, and 4) the consistency. Six criteria were followed from the aforementioned four perspectives. Finally, various school mathematical terms of South and North Korea were reviewed in the angles of the four perspectives and the six criteria.

• The Mathematical Education
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• v.45 no.4 s.115
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• pp.407-438
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• 2006

This study investigated school mathematics curriculum of England, newly revised in 1998, focused on the 'shape, space, and measures' domain among three major domains of the English curriculum. On the basis of its understanding, this domain was compared and analyzed with school mathematics curriculum of Korea. In doing so, this study explored its plans and procedures and established a frame of comparison for the curriculums between the two countries. The structure of the National Curriculum in England is composed of programmes of study and attainment targets. The former sets out what should be taught in mathematics at key stages 1, 2, 3, and 4 and provides the basis for planning schemes of work, and the latter sets out the knowledge, skills, and understanding that pupils of different abilities and matures are expected to have by the end of each key stage. Attainment targets are composed of eight levels and an additional level of increasing difficulty. According to the results of the present study, Korea focuses on the formal and systematic mathematical knowledge on the basis of sound understanding of certain mathematical terms or concepts. On the other hand, England curriculum tends to deal with the content which can be understood more intuitively, flexibly, and naturally through the experience and aquisition based on the concrete manipulation. Particularly, it emphasizes that mathematics be realistic and useful in solving a diverse problems confronted in everyday life.

• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.429-444
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• 2012

As one of the trials for a systematic approach to mathematics terms which occupies an important place in teaching and learning mathematics, compositions of listed terms in 2011 elementary mathematics curriculum in Korea are discussed in this study. To this end, listed terms are classified in view of three points and looked for their characteristics, from which implications are found out for elementary mathematics teaching and learning First of all classifications into grade-group and domain-specific terms, then into newly coined terms and terms from everyday life, and then into korean terms and chinese character terms and english terms are attempted. Next, terms with a kernel and terms without a kernel are distinguished, and in this process, term-sets are presented. Finally, object terms, operation terms, relationship terms, measure terms, conditions terms, graphics terms, name terms are classified. Based on these results, the following implications for elementary mathematics teaching and learning are suggested. First, it should be considered that many of the listed terms in 2011 curriculum are newly coined and chinese character terms. Second, the interconnections between terms should be considered. Third, a variety of roles and functions of the terms should be considered.

• Education of Primary School Mathematics
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• v.25 no.4
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• pp.343-360
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• 2022

In mathematics classes, the verbal explanation may contain diverse mathematical concepts and principles in short sentences. It may also include mathematics symbols and terms that might not be used in everyday life. Therefore, students may need particular listening ability in order to understand and participate in mathematics communication. Unlike general listening, the listening ability for mathematics classes may require student to integrate their mathematical and linguistic knowledge. The aim of this study is to reveal the subdomains of listening ability for mathematics classes in a elementary school. I categorized listening ability for mathematics classes in a elementary school from the literature. The categories of listening ability for mathematics are Interpretive Listening, Evaluative Listening, Hermeneutic Listening, Selective Listening, Pretend Listening, and Ignored Listening. In order to develop a framework for understanding listening ability for mathematics classes, I investigated a hierarchy of 412 South Korean elementary teachers' perception. Through a web-based survey, the teachers were asked to rank order their beliefs about and students' listening ability. Findings show that teachers' perceptions about listening ability for mathematics classes are divergent from current research trends. South Korean elementary teachers perceived Interpretive Listening as the most important listening.