• Communications of Mathematical Education
• /
• v.36 no.3
• /
• pp.335-353
• /
• 2022

The purpose of this study is to identify the characteristics and types of errors in the conceptual image of Korean language learners according to the types of terms in mathematics that are the basis for solving mathematical word problems, and to prepare basic data for effective teaching and learning methods in solving the word problems of Korean language learners. To do this, a case study was conducted targeting four Korean language learners to analyze the specific conceptual images of terms registered in curriculum and terms that were not registered in curriculum but used in textbooks. As a result of this study, first, it is necessary to guide Korean language learners by using sufficient visualization material so that they can form appropriate conceptual definitions for terms in school mathematics. Second, it is necessary to understand the specific relationship between the language used in the home of Korean language learners and the conceptual image of terms in school mathematics. Third, it is necessary to pay attention to the passive term, which has difficulty in understanding the meaning rather than the active term. Fourth, even for Korean language learners who do not have difficulties in daily communication, it is necessary to instruct them on everyday language that are not registered in the curriculum but used in math textbooks. Fifth, terms in school mathematics should be taught in consideration of the types of errors that reflect the linguistic characteristics of Korean language learners shown in the explanation of terms. This recognition is expected to be helpful in teaching word problem solving for Korean language learners with different linguistic backgrounds.

• Communications of Mathematical Education
• /
• v.30 no.2
• /
• pp.121-138
• /
• 2016

Most of elementary and secondary school mathematical terms in Korean are Sino-Korean words. We check Chinese characters relating to such Sino-Korean words by using Chinese dictionaries, and critically judge how much we can understand Sino-Korean words by Chinese characters. Through this search, we classify Sino-Korean words into three categories; words which can be understood by Chinese characters, words which can not be understood by Chinese characters, words which are misunderstood by Chinese characters.

• Communications of Mathematical Education
• /
• v.27 no.4
• /
• pp.391-406
• /
• 2013

Most of mathematical terms in Korean are Sino-Korean words. It is necessary to find the efficient ways to teach Sino-Korean mathematical terms to mathematics teachers and students who dot not know Chinese characters well and use only Korean alphabet in mathematics. Especially, we have to avoid the inappropriate Sino-Korean words which can cause misconceptions and can distinguish homophones by Korean alphabet. We may use native Korean terms to do that and the national curriculum can play an important role. In this paper, we investigate the way of improving mathematics terms in Korea with concrete examples.

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

• School Mathematics
• /
• v.18 no.3
• /
• pp.611-623
• /
• 2016

This study explored the problems of definitions and choices of terms and notations and proposed a few tasks for improvement of them included , , of high school mathematics based on 2009 revised mathematics curriculum and textbooks. We explored the problems on the features of the methods and contents of definitions of terms and notations in the viewpoint of the possibilities of difficulties on students' understanding, and proposed several criteria for choices of terms and notations in curriculum. And we proposed several tasks to improve the problems as follows: we need to implement much analyses and discussions on terms and notations and to open the results, to make the criteria for the examinations of mathematics textbooks in the viewpoint of therm and notation, to consider the differences of the methods of definitions among primary, middle, and high schools, and to consider the changes of terms and notations and the methods for introduction of them in textbooks.

• Journal of Educational Research in Mathematics
• /
• v.13 no.3
• /
• pp.227-246
• /
• 2003

In this paper, some terms of high school mathematics which read Chinese characters phonetically in Hangul are studied semantically. Nowadays, most terms of high school mathematics are terms of Chinese characters given the reading of them in Hangul alphabet. In such terms of Chinese characters, there are many loan-words from daily life and newly coined terms. Some such terms are examined in respect of meaningfulness and rule-ness. The degree of meaningfulness and rule-ness of loan-words from daily life are relative. Students seems familiar to loan-words usually, but it is difficult to know whether students seems to be familiar to loan-words or not. Degree of familiarity to a certain loan-word must be relative. In loan-words, there are such terms whose mathematical meaning is different from daily life meaning. Such terms are strong in rule-ness. Newly coined terms are strong in rule-ness. Students are not familiar to newly coined terms which are not used in daily life and have only mathematical meaning. In coining new terms using Chinese character, unit characters are related directly or indirectly to concept which unit characters want to express. So, It is possible to guess something unit characters want to express by investigating them. According to Vinner(1991), images can be evoked. But in case of reading Chinese characters phonetically in Hangul, it can not be guaranteed for Hangul mathematical terms to evoke images which the original mathematical terms evoked. To solve such problems semantic investigation of mathematical terms has been suggested. Through this process, transplanting images which the original mathematical terms evoked into Hangul terms are planned.

• Journal of Educational Research in Mathematics
• /
• v.25 no.3
• /
• pp.431-448
• /
• 2015

This study is conducted to understand the real shape of confusion surrounding mathematical terminologies, 'ratio' and 'rate' in both the US and Korea and to get some implications for Korean education. For this, various materials including textbooks and materials for kids and teachers, dictionaries, educational internet web sites, the past Korean elementary mathematics curriculums and etc are reviewed with respect to the terminologies related to 'ratio' and 'rate'. As a result, the findings are as follows. Firstly, the US and Korea have different views with ratio and rate. Secondly, Korean terminologies related to ratio and rate are not enough to treat the essentials of the concept of ratio and rate.

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

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

• Communications of Mathematical Education
• /
• v.36 no.4
• /
• pp.559-587
• /
• 2022

The purpose of this study is to derive implications for the development of the next curriculum and textbooks by comparing and analyzing the textbooks of the 2015 revised high school mathematics curriculum <Mathematics for Economics> and social studies curriculum <Economics>. In the <Mathematics for Economics> textbooks, economic terms and function notations should be introduced. Additionally, the use of graphs for economic-related functions is different from the use of graphs in mathematics in the <Mathematics for Economics> textbooks. For these reasons, the usage of economic terms, function notations, and function graphs covered in the <Mathematics for Economics> textbooks were compared and analyzed with the usage in the <Economics> textbooks. In the <Mathematics for Economics> textbooks, economic terms that are highly related to mathematics are defined and presented. Contrary to the conventions of mathematics and economics, the function notations in the <Mathematics for Economics> textbooks were used inconsistently because uppercase and lowercase letters were mixed in the function notations. Function graphs in the <Mathematics for Economics> textbooks had differences in the range of values represented by the variables regarding axes and scaling. The <Mathematics for Economics> textbooks did not provide a mathematical interpretation of the translation or slope. In the course of <Mathematics for Economics>, it is necessary to specify considerations for teaching and learning, and assessment in the curriculum to promote students' understanding of mathematics and economics. The descriptions in the curriculum document and textbooks of <Mathematics for Economics> should be supplemented to provide learning opportunities for mathematical interpretation of economics-related contents.