• Journal for History of Mathematics
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• v.31 no.3
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• pp.111-126
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• 2018

At present, most of school mathematical terms in elementary and secondary curriculums of Korea are Sino-Korean words. 1964 Mathematical Editing Material, which aimed to unify mathematical terms into mainly Sino-Korean words, was considered a key factor for this situation. 1964 Editing Material depended heavily on 1956 Mathematical Terminology, which contains a lot of Korean native words and displays the school mathematical terms after 1945. There are many Korean native words in the Second Mathematical Curriculum. This shows that Korean native words of mathematics had been consolidated to some extent at that time. In North Korea, a lot of Korean native words are still used in mathematics. Some Sino-Korean words were recently changed to Korean native words in South Korea. 1956 Mathematical Terminology tells the method to make Korean native words of mathematics and will be an excellent guide for making Korean native words.

• The Mathematical Education
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• v.43 no.4
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• pp.337-347
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• 2004

Korea and China have maintained close relationships since the ancient times along with Japan, which also shares the common Chinese culture. The three major players in Northeast Asia have been recognizing their increasing importance in politics, economy, society, and culture. Considering those relationships among the three countries, it's necessary to compare and investigate their mathematics terminology. The purpose of this study is to investigate the similarities and differences between the terminology of school mathematics in Korean, Chinese and Japanese. The mathematics terms included in the junior high school of Korea were selected, and the corresponding terms in Chinese and Japanese were identified. Among 133 Korean terms, 72 were shared by three countries, 9 Korean terms were common with China, and the remaining 52 Korean terms were the same as Japanese terms. Korea had more common terms with Japan than China, which can be explained by the influences of the Japanese education during its rule of Korea in the past. The survey with 14 terms which show the discrepancy among 3 countries were conducted for in-service teachers and pre-service teachers. According to the result of the survey, preferred mathematics terms are different from one group to the other, yet the Korean mathematics terms were more preferred in general. However some terms in Chinese and Japanese were favored in certain degree. This result may provide meaningful implications to revise the school mathematics terms in the future.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.565-586
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• 1998

Like many other school subjects, terminology is a starting point of mathematical thinking, and plays a key role in mathematics learning. Among several areas in mathematics, geometry is the area in which students usually have the difficulty of learning, and the new terms are frequently appeared. This is why we started to investigate geometric terms first. The purpose of this study is to investigate geometric terminology in school mathematics. To do this, we traced the historical transition of geometric terminology from the first revised mathematics curriculum to the 7th revised one, and compared the geometric terminology of korean, english, Japanese, and North Korean. Based on this investigation, we could find and structuralize the following four issues. The first issue is that there are two different perspectives regarding the definitions of geometric terminology: inclusion perspective and partition perspective. For example, a trapezoid is usually defined in terms of inclusion perspective in asian countries while the definition of trapezoid in western countries are mostly based on partition perspective. This is also the case of the relation of congruent figures and similar figures. The second issue is that sometimes there are discrepancies between the definitions of geometric figures and what the name of geometric figures itself implies. For instance, a isosceles trapezoid itself means the trapezoid with congruent legs, however the definition of isosceles trapezoid is the trapezoid with two congruent angles. Thus the definition of the geometric figure and what the term of the geometric figure itself implies are not consistent. We also found this kind of discrepancy in triangle. The third issue is that geometric terms which borrow the name of things are not desirable. For example, Ma-Rum-Mo(rhombus) in Korean borrows the name from plants, and Sa-Da-Ri-Gol(trapezoid) in Korean implies the figure which resembles ladder. These terms have the chance of causing students' misconception. The fourth issue is that whether we should Koreanize geometric terminology or use Chinese expression. In fact, many geometric terms are made of Chinese characters. It's very hard for students to perceive the ideas existing in terms which are made of chines characters. In this sense, it is necessary to Koreanize geometric terms. However, Koreanized terms always work. Therefore, we should find the optimal point between Chines expression and Korean expression. In conclusion, when we name geometric figures, we should consider the ideas behind geometric figures. The names of geometric figures which can reveal the key ideas related to those geometric figures are the most desirable terms.

• Journal of Educational Research in Mathematics
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• v.8 no.2
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• pp.495-507
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• 1998

This article intends to review what problems the terms in calculus have and how those problems are caused. For this purpose We make examinations on the considerations in the analysis of mathematical terminology, which includes the problems of general and technical terms, the meaning and the boundary of words, their consistency, the name and meaning, concept and their concept images, translations and qwerty effects. And in chapter 3, We analyse the textbook which are currently used, through which I was able to find out that the terms in calculus have some problems, In other words, the key terms such as "differentiable", "differential coefficient", "differential" have their roots in the term "differential" but the term "derived function" is very distinct from other terms and thus obstructs the consistency of terms. And the central term "differential" is being used without clear definition. In particular, the fact that "differential", when used in its arbitrary definition, has the image of "splitting minutely" can be an obstacle to understanding the exact concepts of calculus. In chapter 4, We make a review on the history of calculus and the term "differential" currently used in modern mathematics so that I can identify the origin of the problem connected with the usage of the term "differential". We should recognize the specified problems and its causes and keep their instructional implications in mind. Furthermore, following researches and discussions should be made on whether the terminology system of calculus should be reestablished and how the reestablishment should be made.e terminology system of calculus should be reestablished and how the reestablishment should be made.

• Journal of the Korean School Mathematics Society
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• v.5 no.1
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• pp.43-51
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• 2002

This study is to compared with 7-ga mathematics textbooks of 13 types in the middle school by 7-th curriculum. A synopsis of the Analysis and comparison about the contents of these textbooks is as follows. -The order of contents almost is same about the title and contents in 13 types of textbooks. -It is very important that the definition of terminology should be simple and correct. I investigated the terminology in thirteen textbooks of material at 7-th curriculum. -Most of their textbooks present the motivation of learning mathematics with resource of life such as a story of mathematics and famous mathematicians. -The chapter about numbers and operations has the biggest volume of all. -The evaluation of lessons presents at the each end of chapters with many problems as levels.

• Journal of the Korean School Mathematics Society
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• v.9 no.3
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• pp.309-316
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• 2006

This study examined the ambiguous using the terminology of statistics at mathematics textbook of highschool in Korea and proposed the correct using of sampling error and sampling distribution of sample mean with consistency. And this paper proposed that the concept of error have to teach in context of sampling action in school mathematics.

• Journal for History of Mathematics
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• v.31 no.3
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• pp.127-150
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• 2018

In spite of important researches and translational works of the Joseon mathematical treatises in the 80's and on, these results were almost out of reach to the school teachers as well as students due to the antiquity of their contents and the terms used. In order to make our traditional mathematics approachable to the middle and high school students, it will be educationally meaningful to reinterpret them tuned at the student's level using modern terminology and symbols. In this study, we reinterpreted 9 problems from Cheukryang Dohae, which is one of the representative mathematical books of Joseon Dynasty. We used the terminology and symbols from the school curriculum. We also reconstructed two of them using modern metrologies adapted to modern situations adding illustrations and photos, so that they are useful at the teaching site.

• Journal of Educational Research in Mathematics
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• v.13 no.2
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• pp.179-225
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• 2003

The purpose of this study is to revise the previous mathematics glossary Since the last mathematics glossary was published by MOE in 1937, there have been two curriculum revisions. As a result, many terms which are newly included in the curriculum are not specified in the mathematics glossary. Moreover, part of mathematics terms and the informations about mathematicians and mathematics educators in mathematics glossary are not correct. Thus the revision of the mathematics glossary is definitely necessary. To collect the opinions about mathematics terms, a large scale survey targeting mathematics education researchers and mathematics teachers was conducted and the subsequent meetings were held. Also, the studies regarding mathematics terminology were thoroughly reviewed to provide the direction of desirable mathematics terms. Reflecting all these informations, the draft of the new mathematics glossary was completed.

• 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.

• The Mathematical Education
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• v.4 no.1
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• pp.16-28
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• 1966

According to the modernization of mathematics education, new abstract concepts such as the concept of sets are introduced in many fields of it. The purpose of this thesis is to adopt the concept of sets to 'probability' which is included in the curriculum of high school matematics education. The considerations of the preceding chapter III, and their obvious generalizations to more complicated experiments, justify the conclusion that probability theory consists of the study of sets. An event is a set, its opposite event is the complementary set; mutually exclusive events are disjoint sets, and an event consisting of the simultaneous occurrence of two other events is a sets obtained by intersecting two other sets it is clear how this glossary, translating physical terminology into set theoretic terminology, may be continued. Furthermore, the important theorems of probability; Additional theorem, multiplication theorem, their applications and so on, are proved by the technical operations of sets. Thinking of the mathematics education introduced by the concept of sets is very important in future.