• School Mathematics
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• v.7 no.1
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• pp.1-15
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• 2005

In this paper, some characteristics of actual state of school mathematics terms in north Korean mathematics textbooks, which were issued in 2000-2002, are discussed. In north Korea, terms are expressed in north Korean orthography. Many Chinese style terms are translated into pure Korean terms, but there are still so many Chinese style terms. It is known that there is deep gap between north and south Korean terms. But actually it is not. This means that integration of north and south Korean terms can be easily realized. It is known that translating Chinese style terms into pure Korean term can be useful in mathematics teaching and learning, but north Korean experiences tell that we should act with prudence in doing so. We need sufficient discussion in case of north Korean terms which are totally different with south Korean terms. Semantical analysis is needed with preference survey.

• Journal of Educational Research in Mathematics
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• v.23 no.4
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• pp.491-503
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• 2013

In this paper we analyse how school mathematics terminologies have been changed from the syllabus period to the 2007 curriculum. For this we survey the school mathematics terminologies which have been used since the syllabus period on the 2007 curriculum basis, analyse changes in expression of those, and look through to the characteristics of mathematics terminologies for each curriculum period.

• School Mathematics
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• v.12 no.1
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• pp.27-43
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• 2010

In this article the conceptual meaning of expression, equation and identity used in Korean mathematics textbooks and American mathematics textbooks is compared and discussed. For this purpose definitions and examples in several mathematics textbooks which are used in Korean elementary school, the 1st grade of middle school and American middle school are investigated. It is founded out that at first there are some parts that give rise to misunderstanding and then there are differences between the Korean terminologies and their corresponding English counterparts. The definitions of expression, equation and identity are advised to examine in the view of middle mathematics curriculum.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.361-378
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• 2011

Since textbooks are developed according to the curriculum, it might be said that the terms registered in curriculum can serve as guidelines for terms used in textbooks. But it really is not. In this study, so that terms registered in curriculum can serve as guidelines for terms used in textbooks, inconsistencies between them would be found out and improved. To this end, suitability of selecting and using terms are discussed, focusing on terms registered in curriculum and terms used in textbooks. In fact, there are significant differences between the terms registered in curriculum and the terms in textbooks, because there is not any criteria in selecting and using terms. In this study the five criteria with respect to registering terms in curriculum are proposed. Everyday language should not be registered. Naturalized terms should not be registered. Terms used in only elementary mathematics, but are already well-established should be registered. Same term used in diverse context should be registered only once. Terms which can be used without definition should be designated. Three criteria in regard to using terms in textbooks are proposed. Terms registered in curriculum must be used. Same term used in diverse context should be redefined in every context. Terms that are not certified and are not absolutely necessary must not be used.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.2
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• pp.291-308
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• 2017

In 1946, many native korean mathematical terms are coined newly by the ministry of education of USAMGIK(the United States Army Military Government in Korea) through referring to the opinions of various circles. In native korean mathematical terms created at the time, many of them are coined, either by using native korean words corresponding to the meaning of chines characters, or by abbreviating newly coined native korean mathematical terms. However, in less than 20 years, about half of native korean mathematical terms made in 1946~1947 has been went back to chines character mathematical terms, and most of those chines character mathematical terms has been used up to now from then. Although, in the teaching and learning of mathematics, the discomfort of chinese characters mathematical terms is pointed out and it is claimed that the use of native korean mathematical terms is helpful, it is not everything to hurry to use native korean mathematical terms. Attempts to convert chinese characters mathematical terms into native korean mathematical terms should be prudent. When a certain native korean mathematical term is used, if it must be used only because it is a native korean mathematical term, then the term has no choice but to fail. In this paper, we propose the following three implications as conclusions for the successful use of native korean mathematical terms in this viewpoint. First, attempts to coin native korean mathematical terms should be continued. Second, it is necessary to identify the survival power of well-preserved native korean mathematical terms. Third, it is necessary to identify the failure factors of native korean mathematical terms which does not survive today.

• Journal of the Korean School Mathematics Society
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• v.17 no.1
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• pp.123-137
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• 2014

In this paper, the format of the Korean 2011 & the Japan 2008 elementary school mathematics curriculum are compared especially centered on elements, areas, objectives, and lesson time numbers. Through this comparison, suggestions can be obtained as follows. First, grade-group system which does not meet the actual elementary mathematics education needs to be reconsidered. Second, the area name 'number and operation' needs to be reduced into the area name 'number and calculation'. Third, using the area name 'pattern' needs to be reconsidered. Fourth, using the area name 'probability' needs to be reconsidered. If 'possibility' which some event occurs is seen as ratio, it can be contained area 'quantity relationship'. Fifth, containing the nature of mathematics into the school mathematics objectives needs to be reconsidered. Sixth, it is necessary to enhance the phase of mathematics in elementary education.

• School Mathematics
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• v.15 no.4
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• pp.833-846
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• 2013

In this paper, the real state of using terms 'product', 'place value', 'nine-nine', and 'numeral' incorrectly or inconsistently in the area in Korean elementary school 1-2 grade math textbooks/workbooks are analyzed. Based on this analysis, the following four conclusions are presented. First, 'Product' should be defined in the ${\ll}$Math 3${\gg}$ textbook like 'sum' and 'difference'. Multiplication is introduced in the ${\ll}$Math 3${\gg}$ textbook/workbook, however, the result of that calculation is not referred to 'product'. Second, there is a need to reconsider the using the term 'place value' in 2nd elementary mathematics. In the ${\ll}$Math 3${\gg}$ and the ${\ll}$Math 4${\gg}$ textbooks/workbooks are not using the term 'place value' clearly. Third, the word 'addition nine-nine table' and 'subtraction nine-nine table' should not be used in the ${\ll}$Math 2${\gg}$ and the ${\ll}$Math 4${\gg}$ textbooks. Using the term 'multiplication nine-nine' and 'multiplication nine-nine table' in elementary school mathematics textbooks/workbooks instead of using the term 'nine-nine' and 'nine-nine table' respectively would be the possible cause of these inaccurate derivatives. Fourth, in 1st and 2nd elementary mathematics 'numeral' and 'number' should be used discriminately. There is a need to reconsider the using the term 'number' uniformly if possible.

• School Mathematics
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• v.14 no.3
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• pp.377-394
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• 2012

The purpose of this paper is to analyze the elementary school mathematics textbooks according to the mathematics curriculum revised in 2007 which put emphasis on mathematics as a communication, and to find out the implication for improving the mathematics textbook of Korea. Mathematics textbooks are analyzed by five analysis criteria, which are suitability of communication activities, suitability of usage of terms and symbols, suitability of literary expressions, suitability of visual expressions and adequateness of mathematics and curriculum. As a result of analysis, it is found out that communication activities were generally reflected the intent of curriculum but there were incomplete terms usage and literary, visual expressions. So communication among authors, between authors and writers, authors and illustrators is necessary for improvement of mathematics textbooks.

• 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.

• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.375-396
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• 2022

In this paper, to provide an idea for the 2022 revised mathematics curriculum by restructuring the content of the 2015 mathematics curriculum, the content elements of recurring decimals of textbooks, which showed differences in the curriculum of Korea and Japan, were analyzed. As a result of this study, in Korea, before the introduction of the concept of irrational numbers, repeating decimals were defined in the second year of middle school, and the relationship between repeating decimals and rational numbers was dealt with. In Japan, after studying irrational numbers in the third year of middle school, the terminology of repeating decimals is briefly dealt with. Then, when learning the concept of limit in the high school <Mathematics III> subject, the relationship between rational numbers and repeating decimals is dealt with. Based on the results of the study, in relation to the optimization of the amount of learning in the 2022 curriculum revision, implications for the introduction period of the circular decimal number, alternatives to the level of its content, and the teaching and learning methods were proposed.