• Communications of Mathematical Education
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• v.36 no.1
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• pp.73-88
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• 2022

Mathematics is a way of thinking. To do mathematics means to think mathematically. In other words, mathematics education and mathematics literacy are related. In elementary and secondary school mathematics education in many countries, teaching of mathematics using textbooks is conducted mostly in their native language. So mathematics education takes place while reading, writing, listening, and speaking mathematics. Analysis of mathematics textbooks for the lower grades of undergraduate mathematics shows that most advanced countries in mathematics use excellent undergraduate mathematics textbooks written in their native language. However, the ratio of using imported textbooks from foreign countries is particularly high in the case of textbooks for mathematics majors at Korean universities. In this article, the effect of language used in university mathematics education is analized. In particular, the importance of high-quality leading-edge university mathematics textbooks in native language is introduced by analyzing the case of Bourbaki in France and 'War of language' at the Israel Institute of Technology. The innovation of French university mathematics education in the 20th century began with Bourbaki's 'Fundamentals of Mathematics', a French textbook written in his native language. Israel's Technion and the Hebrew University of Jerusalem continue to teach all subjects in their mother tongue. This has led to produce many Nobel Prize and Fields medal winners in these two countries. This study shows that textbooks and languages used in university mathematics education has affected mathematical literacy.

• School Mathematics
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• v.6 no.1
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• pp.59-90
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• 2004

This study has been established with two purposes. The first one is to development the learning-teaching model for enhancing students' creative proof capacities in the domain of demonstrative geometry as subject content. The second one is to aim at experimentally testing its effectiveness. First, we develop the learning-teaching model for enhancing students' proof capacities. This model is named the generative-convergent model based instruction. It consists of the following components: warming-up activities, generative activities, convergent activities, reflective discussion, other high quality resources etc. Second, to investigate the effects of the generative-convergent model based instruction, 160 8th-grade students are selected and are assigned to experimental and control groups. We focused that the generative-convergent model based instruction would be more effective than the traditional teaching method for improving middle school students' proof-writing capacities and error remediation. In conclusion, the generative-convergent model based instruction would be useful for improving middle grade students' proof-writing capacities. We suggest the following: first, it is required to refine the generative-convergent model for enhancing proof-problem solving capacities; second, it is also required to develop teaching materials in the generative-convergent model based instruction.

• Journal of architectural history
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• v.18 no.6
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• pp.65-84
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• 2009

This study was to analyze the philological character of Huangdizhaijing(黃帝宅經). Huangdizhaijing is a first stage scriptures of YangzhaiFengshui(陽宅風水) which is the firstly mentioned book in Sikuquanshu(四庫全書). Huangdizhaijing is an obligatory book to read to understand the palace of ancient dynasty as well as general housing of people. Huangdizhaijing measured housing conditions divided into Yangzhai(陽宅) and Yinzhai(陰宅). The contents succeeded traditional Yangzhaiguan(陽宅觀) which values direction(方向) and Jiri(吉日). Thatis, classifying Yangzhai into 24 directions based on Qi of YinYang(陰陽之氣) theory, general contents of Huangdizhaijing explains regulatory rules and propitious day in accordance with the Yangzhai mathematical principles and archaeology through Jixiongshenshalun(吉凶神煞論). Huangdizhaijing includes the kernel of understanding the chinese architect system and housing culture because it describes close reciprocal influences between man and house. It seems that the author of Huangdizhaijing is not the emperor but he was represented by descendants who systemized the idea of Huangdizhaijing in Yangzhai shu(陽宅書). Being there many of documents presented by emperor like Huangdineijing(黃帝內徑), It is counted that the reason of the representing emperor is to show off its origin has long and authoritative history. It seems that the preserved period of writing Huangdizhaijing is Tang(唐) dynasty, but counting that various Yangzhaishu prevailed, Huangdizhaijing's contents has much in common with Dunhuangben(敦煌本), and it valued Menfazhidu(門閥制度) of Weijinnanbeichao(魏晉南北朝) dynasty, the many of the contents of Huangdizhaijing should be formed before Tang dynasty. The exiting editions of Huangdizhaijing could be divided into generally 8 kinds:(1) Zhengtongdaocangben(正統道藏本) (2)Yimenguangduben(夷門廣牘本) (3)Jindaimishuben(津逮秘書本) (4)Shuofuben(說?本) (5)Gujintushujichengben(古今圖書集成本) (6) Sikuquanshuben(四庫全書本) (7)Xuejintaoyuanben(學津討原本) (8)Dunhuangben(敦煌本).

• Education of Primary School Mathematics
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• v.23 no.1
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• pp.45-61
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• 2020

The concept of equality is given as a way of reading the equal sign without dealing it explicitly in elementary school mathematics. The meaning of the equal sign can be largely categorized as operational and relational views. However, most elementary school students understand the equal sign as an operational symbol for just writing the required answers. It is essential for them to understand a relational concept of the equal sign because algebraic thinking in middle school mathematics is based on students' understanding of a relational view of the equal sign. Recently, the relational meaning of the equal sign is emphasized in arithmetic. Hence it is necessary for elementary school students to have some activities so that they experience a relational meaning of the equal sign. In this study, we investigate the meaning of the equal sign and contexts of the equal sign in elementary school mathematics to discuss explicit ways to emphasize the concept of equality and relational views of the equal sign.

• Korean Journal of Childcare and Education
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• v.9 no.3
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• pp.229-252
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• 2013

In this study, WSS developmental checklist and nursery maladaptive test were conducted and applied to 203 multicultural children and non-multicultural children. The children were 3-5years old and were attending 34 kindergartens located in Gimpo-si and Ansan-si, Gyeonggi-do to investigate the developmental level and status of adaptation to the nursery in multicultural children. The result shows that there is no difference in the development of scientific thinking and mathematical thinking while developmental level is lower in personality, sociality, language, reading and writing area in multicultural children compared to non-multicultural children. According to age, there is no difference in the development between 4~5-year-old multicultural children and non-multicultural children while there is a difference in the development between 3-year-old multicultural and non-multicultural children. It also shows that there are no significant differences in nursery adaptation between multicultural children and non-multicultural children.

• Journal of Technologic Dentistry
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• v.41 no.1
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• pp.31-41
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• 2019

Purpose: This provides basic data for improving educational effectiveness by selecting and applying basic vocational competency applicable to dental technology's sub-major curricula by determining and researching dental technicians' awareness levels concerning the basic vocational competency's importance. Methods: 170 dental technicians working in Daegu, Korea were surveyed using a self-administered questionnaire between 9 January 2018 and 23 February 2018. Results: 1. The highest level of the basic vocational competency elements by the awareness levels of importance in dental technology laboratories was shown in the occupational ethics, followed by technological skills, interpersonal skills, self-development levels, problem-solving skills, information skills, resource management skills and skills for understanding groups, communication skills, and mathematical skills. 2. Female dental technicians put relatively higher importance on writing documents and managing time, while males stressing on basic statistics. 3. Dental laboratory CEOs and managers put high values on resource management skills, while head technicians valuing information skills more. 4. The awareness levels concerning the basic vocational competency importance in some dental technology fields did not match those of the dental technology laboratories in the fields of porcelain, crown and bridge, and orthodontics. Conclusion : This study demonstrates that the awareness levels concerning basic vocational competency's importance in some fields of dental technology differ from those of dental technology laboratories. Developing a basic vocational competency curriculum, it seems necessary to find ways to increase educational effectiveness by selecting and applying the basic vocational competency for the respective fields of dental technology.

• Communications of Mathematical Education
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• v.34 no.3
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• pp.299-324
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• 2020

The purpose of this study was to identify high school students' mathematics learning style and its characteristics according to their personality disposition types and to propose mathematics learning strategies fit into each personality disposition type. For this purpose, MBTI personality test and survey to find mathematics learning style for 375 high school students were executed. The results were as follows. First, many students highly evaluated the effects of private education and prefer reference book to textbook. Second, there were significant differences on following variable domains of mathematics learning style such as learning attitude, learning habit(concentrativeness to concept understanding), problem solving strategies(effort for problem comprehension, use of various strategies), self management(metacognition) by MBTI personality disposition types(SJ, SP, NT, NF groups). Third, based on the results, the following mathematics learning strategies fit into each personality disposition type were recommended. SJ type students are needed to effort creative approach for open problem and to use mindmap as mathematics learning strategy. SP type students are needed to fulfill stepwise problem solving process and to effort constantly practice long/short term learning objectives. NT type students are needed to expand opportunity to study with friends and to use SRN(self reflection note) or mathematics journal writings as mathematics learning strategy. NF type students are needed to use mathematics learning note writing activity which include logical basis for each step of problem solving and to invest more time on learning algebra which need meticulous calculation.

• Cross-Cultural Studies
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• v.39
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• pp.219-240
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• 2015

The following summarized argument is the comparative research of the characteristics of automatic techniques demonstrated in the mixed expression of foreign language and Korean language in Lee Sang's poetry. Our research examines the use of foreign languages such as French and English shown in Lee Sang's poems, and then, recognized the characteristics of the automatic techniques demonstrated by the parallel marks and signs of Korean language. The automatical technique's element that Lee Sang made use of is a language of loanblend, consisting of free use of French, English, Japanese and Korean. The mathematical and geometric figures such as numbers and shapes can be seen as an important poetic language. In Lee Sang's poetry, the French words "AMOUREUSES" and "ESQUISSE" and English words "I WED A TOY BRIDE" are considered as parts of Korean language. The use of foreign language is seen by the readers as encodes of a unacquainted language and it provides rhetorical characteritstics that gives off profanatory feeling about the poetry. The poet is seen to have created a new poetic language that excess the standards of the limitations that Korean and Chinese marks have through the application of polysems and poliphonyic effects that foreign languages have. The mathematical and geometric signs are Lee Sang's special experimental elements that can't be seen in other literary poetries. They are conversational and the requirements for the expression of abstract artistry and esthetics. The language used in his poetry are external to those traditional poetic languages and they mix freely with other poetic elements to become an automatic technique used in the writing. Lee Sang's techniques can be considered as the pursuit of defiance and departure, freedom about literature and artistry. Moreover, the avant-garde expressionism is the literary form that demonstrated the sense of inferiority, nervousness and loneliness risen from physical pain and the abnormal relationship with women in the poet's personal life. The technique shows the longingness of the the Western culture and literature that lay dormant in the poet's consciousness and it is also the expression of ingenious that created the new guide in the Korean poetic literature, exceeding the European surrealism. Lastly, the automatic technique images that are demonstrated by the mixture of the foreign languages and Korean language are the creations of an innate poetic language and poetic literature that can't be imitated by anyone in Korean literature.

• The Mathematical Education
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• v.61 no.4
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• pp.559-579
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• 2022

Research on lexicon and language provides insights into the interests, values and practices of a community where individuals use the language. The International Classroom Lexicon Project, in which ten countries participated, identified own country's mathematics teaching and learning lexicons by investigating mathematics classroom instruction from teachers' perspectives in a speaking-oriented community. This study, as an extension of the International Classroom Lexicon Project research, investigated pedagogical lexicons used in 「Mathematics and Education」 journals specialized for Korean professional mathematics teachers published by the Korean Society of Teachers of Mathematics. Using the text mining approach, we also traced how these pedegogical lexicons have changed quantitatively over the past 10 years with a diachronic perspective. As a results, several novel terms were found in the writing-oriented community, which were not identified in the speaking-oriented community. In addition, we could discover some pedagogical lexicons have increased statistically significantly and some lexicons appeared(increased) rapidly across years. This implies the teacher community's values and zeitgeist by reflecting these changes in the sociocultural, incidental and social changing (i.e., periodical change) contexts. This study has value as a first step in understanding zeitgeist for mathematics education in Korean mathematics teacher community according to changes of times over the past 10 years. Also, this study contributes to the methodological insights: the text mining technique provides a methodological contribution to researching changes in interests, values and zeitgeist according to these changes in the times.

• Journal of Educational Research in Mathematics
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• v.26 no.2
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• pp.247-267
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• 2016

It has been pointed out that the mathematics textbooks according to 2009 revised national curriculum cause difficulty not by mathematical knowledge but concomitantly by words and sentences for the first graders who just started learning Korean alphabets. This study focused on the suitability of words and sentences in mathematics textbooks for elementary first grade. We analyzed the degree of difficulty and familiarity in terms of words and the structure, length, and expression in terms of sentences. The results show some causes that lead the first graders to the difficulty. In more detail, we found 108 difficult words and 6 unfamiliar words for the first graders. And it is noticed that the textbooks contain 37 compound sentences, 727 complex sentences, and 38 compound-complex sentences. They also contain 237 long sentences that are composed of 9 words or more, 168 sentences that assign two activities or more, and 52 sentences that contain three nouns or adjectives or more successively. Based on these results and discussions, we suggested several implications for writing mathematics textbooks for the lower grades in elementary school.