• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.231-257
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• 2020

As the main mathematical concepts are presented and expressed in various ways through textbooks during the teaching and learning process, it is necessary to look at the representations used in elementary math textbooks to find effective guidance. This study analyzed sentences used in the definition of mathematical terms and unit assessments of current elementary mathematics textbooks according to word depth (Yngve, 1960) from a syntactic perspective. As a result of the analysis, it could be seen that the sentences in textbook were generally concise, the word depth was lower, and the sentence structure and form were different depending on the individual characteristics of each term. Also, the sentences in the lower grade textbooks were more easily constructed, and the sentences of the term definition were more complex than the sentences of the unit assessments. Efforts should be made to help learners learn mathematical concepts, such as clarifying sentences in textbooks, presenting visual materials together, and providing additional explanations to suit the level of individual learners.

• School Mathematics
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• v.10 no.2
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• pp.223-257
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• 2008

To understand terms and symbols correctly which is the basic factor of teaming mathematics is important for understanding and utilizing related mathematic contents. Since the definition of terms and symbols is the important starting point of learning mathematics, it has been studied a lot since the ancient times. This study investigates the transition of terms and symbols which was presented in our curriculum after Korea's independence and it also investigates terms and symbols which are used for the current middle school text books. As a result of studying the transition of the terms, more detailed and broader analysis should be done for the explanation, modification, deletion, and creation of the terms. And complements are needed for some of the terms and symbols. Also, some definition of the terms which are used in some of the current middle school text books should be explained in a way that is suitable for the students' capability. And some errors and omissions of the terms need to be corrected. Furthermore, we need to compare our definition of terms with that of the other countries and modify them if it is necessary. Also, It is better to put guidelines about the interpretation of terms and symbols in the curriculum to reduce the confusion which can be produced by the variety of explanation of the definition of terms and symbols.

• 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.

• Communications of Mathematical Education
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• v.8
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• pp.77-89
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• 1999

“초등학교 수학의 주된 목표는 수 감각 개발이 되어야 한다” 는 Everybody Counts (1989)의 진술에서 알 수 있듯 수 감각은 최근 그 중요성이 강조되고 있으며, 수학교육의 목표와 내용을 대표하는 용어가 되고 있다. 이는 지금까지 교실에서 이루어진 연산 중심수업에 대한 반성이고, 의미 부여 학습을 강조하는 현재 진행중인 교육과정 개혁 움직임에서 쉽게 찾아 볼 수 있다. 그러나 아직 수 감각이라는 용어에 대한 명확한 정의가 내려져 있지 않을뿐더러 그 하위 구성요소를 분류하는데도 문헌마다 서로 일치하지 않는다. 따라서 본 연구에서는 문헌에 나타난 수 감각의 정의와 그 하위 구성요소들을 고찰해 보고, 아동들에게 수 감각을 길러주기 위한 수학 학습에 대해 알아본다.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.2
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• pp.301-316
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• 2011

In this study, some discordance between curriculum and textbooks in usage of mathematics terms, dual meaning of some terms in the usage of those terms in textbooks, and inconsistency of defining methods of terms are discussed through some examples. Generally it can not be expected that there are any discordance between curriculum and textbooks, because textbooks are developed in the basis of curriculum. But actually, some discordance between curriculum and textbooks can be found out. Some terms are used with two different meaning, geometric figure and measure. It can be causative of troubles in teaching and learning mathematics. Terms of same kind can be expected to be consistent in the way of defining, but some examples defined inconsistently can be found out. The following four suggestions are offered as conclusions. First, textbooks must be consistent with curriculum. Second, The meaning of terms used in textbooks must be stipulated obviously. Third, terms of same kind must be defined consistently. Fourth, it is necessary to supplement a system for developing elementary mathematics textbooks. The result of this study can help develop new textbooks, and revise curriculum, and develop new curriculum.

• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.285-295
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• 2013

In this study I examine the definitions of terms related to ratio and rate from 5, 6, 7th revised elementary school math textbooks to discuss the improvements and the remained problems in 2007 curriculum textbook. Next, I make the alternative definitions of the terms, 'biyoul', the value of 'bi', and 'baekboonyul' by re-establishing the relations between them. Finally, I point out that those problems are intrinsic to the attempt of the textbook to introduce the terms related to ratio with little consideration for the mathematical meaning of ratio as a equivalence class.

• 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.

• School Mathematics
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• v.3 no.2
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• pp.475-499
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• 2001

• School Mathematics
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• v.3 no.1
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• pp.185-213
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• 2001

• 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.