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Analysis of the Algebraic Thinking Factors and Search for the Direction of Its Learning and Teaching (대수의 사고 요소 분석 및 학습-지도 방안의 탐색)

  • Woo, Jeong-Ho;Kim, Sung-Joon
    • Journal of Educational Research in Mathematics
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    • v.17 no.4
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    • pp.453-475
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    • 2007
  • School algebra starts with introducing algebraic expressions which have been one of the cognitive obstacles to the students in the transfer from arithmetic to algebra. In the recent studies on the teaching school algebra, algebraic thinking is getting much more attention together with algebraic expressions. In this paper, we examined the processes of the transfer from arithmetic to algebra and ways for teaching early algebra through algebraic thinking factors. Issues about algebraic thinking have continued since 1980's. But the theoretic foundations for algebraic thinking have not been founded in the previous studies. In this paper, we analyzed the algebraic thinking in school algebra from historico-genetic, epistemological, and symbolic-linguistic points of view, and identified algebraic thinking factors, i.e. the principle of permanence of formal laws, the concept of variable, quantitative reasoning, algebraic interpretation - constructing algebraic expressions, trans formational reasoning - changing algebraic expressions, operational senses - operating algebraic expressions, substitution, etc. We also identified these algebraic thinking factors through analyzing mathematics textbooks of elementary and middle school, and showed the middle school students' low achievement relating to these factors through the algebraic thinking ability test. Based upon these analyses, we argued that the readiness for algebra learning should be made through the processes including algebraic thinking factors in the elementary school and that the transfer from arithmetic to algebra should be accomplished naturally through the pre-algebra course. And we searched for alternative ways to improve algebra curriculums, emphasizing algebraic thinking factors. In summary, we identified the problems of school algebra relating to the transfer from arithmetic to algebra with the problem of teaching algebraic thinking and analyzed the algebraic thinking factors of school algebra, and searched for alternative ways for improving the transfer from arithmetic to algebra and the teaching of early algebra.

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Humanistic Science Education through Context-Rich Approaches (맥락 중심 접근법을 통한 인간주의적 과학 교육)

  • Song, Jin-Woong
    • Journal of Korean Elementary Science Education
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    • v.25 no.4
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    • pp.383-395
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    • 2006
  • School science is often criticized as being too remote from both learners' interests and needs and as maintaining scientist-oriented approaches rather than humanistic ones. Although science is mainly taught on the basis of textbooks inside classrooms, the learning of science can not be confined to the boundaries of curriculum and school. Firstly, this paper briefly reviews and characterizes the historical development of science education with a series of analogies, and then suggests a new analogy, a so-called 'Hearts-On' approach to science education which emphasizes the humanistic aspects and the contextual dimension of science education. Secondly, it critically examines how much traditional school science teaching, particularly in physics, is limited in terms of the context of learning (i.e. textbook, laboratory, classroom, local, and global) as well as in terms of the context of the contents (i.e. physical, personal, social, and global). Thirdly, some recent attempts initiated by the author and colleagues are explained as examples of the Hearts-On approach to science education. In particular, a series of community-based science programs led by SNU and the development of a series of books on 'Contextual Physics'(i.e. Body Physics, Wearing Physics, Dining Table Physics, and Sports Physics) are outlined. Finally, the idea of scientific humanism is explored in relation to the context-rich approaches in science education. It is hoped that this paper helps us to reconsider how we can expand the world of science education beyond the boundaries of the curriculum and school and into a more humanistic one.

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Current Status and Developments of Comparative Education at Universities in Korea and World Wide (세계적 동향에 비추어 본 우리나라 대학의 비교교육학 교육현황과 과제)

  • Hyun, Kyung S.;Park, Elisa L.
    • Korean Journal of Comparative Education
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    • v.18 no.4
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    • pp.1-26
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    • 2008
  • The purpose of this study is to present the overall landscape of Comparative Education study in teacher training program at universities in Korea. The Comparative Education in Korea is relatively young without a lengthy tail on its name and still on the way of upgrading itself, however various efforts are gathering for the development of Comparative Education. With this understanding, this paper diagnoses the current status of Comparative Education in Korea by analyzing 1) the number of institutions which provide Comparative Education lectures for their teacher training program, 2) aims of Comparative Education teaching, 3) curricular and course titles, 4) teaching methods and textbooks, and 5) current issues and problems currently laid on Comparative Education in Korea designated by actual lecturers and professors who are in charge of Comparative Education lectures. The historical development of Comparative Education in Korea will be briefly presented at the beginning part of the chapter. To gauge the comparative position of Korean Comparative Education, the second half of this paper introduces the cases of Comparative Education at universities worldwide, presenting various countries' status of Comparative Education along with their developmental status. As the first research which pays an attention on the current figure of Comparative Education in Korea, it will form an impetus on why we should teach college students about comparative education and on what next step should be carried for further development of Comparative Education at universities based on the comparative understanding of other countries. Since it is in the transitional stage in terms of its development, it would be critical to have a self-analysis of the current status, which will help to lay the comprehensive understanding background for designating the future direction of its development.

Teacher's Practice of Activity Materials in the Housing Area of Middle School Technology & Home Economics Textbook (중학교 교사의 기술.가정 주생활영역 활동자료 활용실태)

  • Lee, Young-Doo;Cho, Jea-Soon
    • Journal of Korean Home Economics Education Association
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    • v.20 no.4
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    • pp.157-171
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    • 2008
  • The year of 2007 Reformed Curriculum encourages various activity materials in the textbook facilitate students oriented self-help learning. The purpose of this paper is to find out how much the activity materials in housing area of middle school Technology and Home Economics are practiced in the class and why they are used or not used. The data were collected from 253 middle school teachers who had ever taught the housing unit in any of 6 textbooks. The analyses indicated that the most frequent teaching methode was lecture based on the textbook and internet data focused on the figures and contents of the individual textbook. The average rate of practicing the activity materials was differ by textbooks and the characteristics of the materials such as type of materials, feature of non sentence materials, and type of activity. The main two reasons to practice the activity materials were it's adequacy to class goals and application to everyday life. Low interests of students and shortage of time were the two main reasons why not used the materials. Textbook writers should consider these reasons as well as the characteristics of activity materials practiced in the class by the teachers in order to meet the goals of the reformed as well as current curricula.

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Contents analyses of teaching·learning research on housing education of home economics for secondary schools (중등학교 주생활교육 교수·학습 개발연구 내용분석)

  • Joo, Hyunjung;Cho, Jaesoon;Choi, Yoori
    • Journal of Korean Home Economics Education Association
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    • v.29 no.3
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    • pp.33-48
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    • 2017
  • The purpose of this research was to analyze the contents of housing teaching learning studies in Home Economics of secondary schools since 2001. The 22 research, drawn from the database 'riss4u', were analyzed in terms of general information of the paper (studied institution & year, implementation & evaluation, subject of study & size) and specific contents of teaching learning plans (theme, curricula & textbooks, methode & # of lessons, resources). The results showed that most studies were reported during the 7th or the 2007 revised curricula period. All, except one doctoral dissertation, were master's theses from a few universities. In all studies, ranging from 2 to 15 lessons, teaching learning plans were implemented and evaluated in the class of the researcher while some were applied in other schools, too. The theme of the teaching learning plans varied but were concentrated on one out of two content elements and two out of six learning elements. The 2007 revised curriculum seems to be an important turning point, not only reinforcing the analyses of the curricular and textbooks in the analyzing stage but also facilitating the use of various methods for the lessons in the developing stage. Practical problem based model was the most frequently adopted, while cooperative learning and ICT served as fundamental although not always mentioned. Various teaching resources such as UCC, reading materials, PPT were developed for the teacher. Activity sheets were the most frequently used for the students, followed by reading materials. Because teaching learning is an essential core of education, teaching learning studies should be more actively conducted and the variety of subject topics, methods and resources should also be obtained by more researchers.

A study on the pre-service teacher's recognition and fallacy for a number with irrational exponent (무리 지수를 갖는 수에 대한 예비교사들의 인식과 오류)

  • Lee, Heon-Soo;Park, Hyung-Bin;Bea, Kang-Soo
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.323-339
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    • 2011
  • The expansion of exponential law as the law of calculation of integer numbers can be a good material for the students to experience an extended configuration which is based on an algebraic principle of the performance of equivalent forms. While current textbooks described that exponential law can be expanded from natural number to integer, rational number and real number, most teachers force students to accept intuitively that the exponential law is valid although exponent is expanded into real number. However most teachers overlook explaining the value of exponent of rational number or exponent of irrational number so most students have a lot of questions whether this value is a rational number or a irrational number. Related to students' questions, most teacher said that it is out of the current curriculum and students will learn it after going to college instead of detailed answers. In this paper, we will present several examples and the values about irrational exponents of a positive rational and irrational exponents of a positive irrational number, and study the recognition and fallacy of would-be teachers about the cases of irrational exponents of a positive rational and irrational exponents of a positive irrational number at the expansion of exponential law.

Teaching Democracy in Indonesian Civic Education Textbook (인도네시아 시민윤리교육 교과서에서의 민주주의 교육)

  • KIM, Hyun Kyoung
    • The Southeast Asian review
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    • v.27 no.3
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    • pp.1-47
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    • 2017
  • This paper examines how democracy is being taught in secondary school level of Indonesian civic education. For this purpose, this study analyses the textbook contents concerning democracy. First, this study sets the freedom, the right, the unity and the stability as key words and analyzes the characteristic of describing democracy by looking at how each keyword is explained in the textbook. The result of analysis shows that democracy of Indonesia can be described as "Pancasila democracy" and textbooks have tendency to relatively emphasize 'the unity', and 'the stability' by differentiating themselves from "liberal democracy" and "liberalism." The freedom in textbook can be interpreted in the context of organic-statism that state and interests of state have the ascendancy over individuals. This viewpoint is based on the historical contexts of Indonesia. However, when textbook describes about Indonesian democracy and its values, they deal with contents of democratic principles, "the freedom of opposition", "the negative freedom", and natural rights. And the study interprets the existence of the two contrasting concepts - relative emphasis on the unity of state and the statement about the importance of individual rights and the freedom - in the textbook as a logical tension in transitional process of traditional organic-statism. Second, the study examines educational contents in accordance with the method of description in textbook. It has been found that there are logical tension and fallacy in describing the principle of fundamental concepts and applicate that concepts into Indonesia case. Also, when describing Marsinah and Munir case, there are some parts distorted and overlooked the facts. On the other hand, the gaps between the explanation in textbook and reality can be pointed out. This study which examined textbook and contents of the rights of the individual is an introductory study on textbook, education and democracy for development of Indonesia and their education.

Importance of Enjoyment Method in Classic Poetry Education and its Methodological Study (고전시가 교육에 있어 향유 방식의 중요성과 그 방법론적 탐색)

  • Park, Kyeong-Ju
    • Journal of Korean Classical Literature and Education
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    • no.38
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    • pp.5-35
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    • 2018
  • This paper discusses this seminar's theme, 'Classic Literature Enjoyment Methods and Education,' with a focus on the genre of classic poems. However it does not focus on any individual method by discussing a specific genre or enjoyment method but focuses on a fundamental discussion. The importance of a functional relationship between the classic poetry genre and its enjoyment method is raised avoiding a generalized discussion. There are things that researchers often forget about classic poems. They forget that most classic poems are not ordinary poems but songs that are to be sung, and thus they should, in principle, be expressed in Korean language. These two facts about classic poems, indicate that their enjoyment method should be given importance. Compared to modern poems, Chinese classic poems, folk songs, and other forms of verse, only classic poems have the aforementioned conditions unique to them. In addition, classic poems include several types of poems, Japga (literally, miscellaneous songs), and Siga (literally, poem-song) genres representing each era, so it is important to discuss the characteristics of such poems with respect to their times periods and genres. Even based on such characteristics, the enjoyment situation where works are created and sung in the genre of classic poems is very important, and thus the enjoyment method issue should be closely linked with the study of works and genres. This study examines how the topics of enjoyment methods for classic poems is reflected in the current middle education curriculum. To improve the current situation, it outlines the issues that arise when enjoyment methods for classic poems are applied to textbooks or classes, set as textbook unit goals or criteria for achievement, and presented as measures designed to plan the composition of works and learning activities. Future studies on literary educational methodologies are expected to further examine the enjoyment methods for poems in class discussed herein.

Critical Success Factor of Noble Payment System: Multiple Case Studies (새로운 결제서비스의 성공요인: 다중사례연구)

  • Park, Arum;Lee, Kyoung Jun
    • Journal of Intelligence and Information Systems
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    • v.20 no.4
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    • pp.59-87
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    • 2014
  • In MIS field, the researches on payment services are focused on adoption factors of payment service using behavior theories such as TRA(Theory of Reasoned Action), TAM(Technology Acceptance Model), and TPB (Theory of Planned Behavior). The previous researches presented various adoption factors according to types of payment service, nations, culture and so on even though adoption factors of identical payment service were presented differently by researchers. The payment service industry relatively has strong path dependency to the existing payment methods so that the research results on the identical payment service are different due to payment culture of nation. This paper aims to suggest a successful adoption factor of noble payment service regardless of nation's culture and characteristics of payment and prove it. In previous researches, common adoption factors of payment service are convenience, ease of use, security, convenience, speed etc. But real cases prove the fact that adoption factors that the previous researches present are not always critical to success to penetrate a market. For example, PayByPhone, NFC based parking payment service, successfully has penetrated to early market and grown. In contrast, Google Wallet service failed to be adopted to users despite NFC based payment method which provides convenience, security, ease of use. As shown in upper case, there remains an unexplained aspect. Therefore, the present research question emerged from the question: "What is the more essential and fundamental factor that should takes precedence over factors such as provides convenience, security, ease of use for successful penetration to market". With these cases, this paper analyzes four cases predicted on the following hypothesis and demonstrates it. "To successfully penetrate a market and sustainably grow, new payment service should find non-customer of the existing payment service and provide noble payment method so that they can use payment method". We give plausible explanations for the hypothesis using multiple case studies. Diners club, Danal, PayPal, Square were selected as a typical and successful cases in each category of payment service. The discussion on cases is primarily non-customer analysis that noble payment service targets on to find the most crucial factor in the early market, we does not attempt to consider factors for business growth. We clarified three-tier non-customer of the payment method that new payment service targets on and elaborated how new payment service satisfy them. In case of credit card, this payment service target first tier of non-customer who can't pay for because they don't have any cash temporarily but they have regular income. So credit card provides an opportunity which they can do economic activities by delaying the date of payment. In a result of wireless phone payment's case study, this service targets on second of non-customer who can't use online payment because they concern about security or have to take a complex process and learn how to use online payment method. Therefore, wireless phone payment provides very convenient payment method. Especially, it made group of young pay for a little money without a credit card. Case study result of PayPal, online payment service, shows that it targets on second tier of non-customer who reject to use online payment service because of concern about sensitive information leaks such as passwords and credit card details. Accordingly, PayPal service allows users to pay online without a provision of sensitive information. Final Square case result, Mobile POS -based payment service, also shows that it targets on second tier of non-customer who can't individually transact offline because of cash's shortness. Hence, Square provides dongle which function as POS by putting dongle in earphone terminal. As a result, four cases made non-customer their customer so that they could penetrate early market and had been extended their market share. Consequently, all cases supported the hypothesis and it is highly probable according to 'analytic generation' that case study methodology suggests. We present for judging the quality of research designs the following. Construct validity, internal validity, external validity, reliability are common to all social science methods, these have been summarized in numerous textbooks(Yin, 2014). In case study methodology, these also have served as a framework for assessing a large group of case studies (Gibbert, Ruigrok & Wicki, 2008). Construct validity is to identify correct operational measures for the concepts being studied. To satisfy construct validity, we use multiple sources of evidence such as the academic journals, magazine and articles etc. Internal validity is to seek to establish a causal relationship, whereby certain conditions are believed to lead to other conditions, as distinguished from spurious relationships. To satisfy internal validity, we do explanation building through four cases analysis. External validity is to define the domain to which a study's findings can be generalized. To satisfy this, replication logic in multiple case studies is used. Reliability is to demonstrate that the operations of a study -such as the data collection procedures- can be repeated, with the same results. To satisfy this, we use case study protocol. In Korea, the competition among stakeholders over mobile payment industry is intensifying. Not only main three Telecom Companies but also Smartphone companies and service provider like KakaoTalk announced that they would enter into mobile payment industry. Mobile payment industry is getting competitive. But it doesn't still have momentum effect notwithstanding positive presumptions that will grow very fast. Mobile payment services are categorized into various technology based payment service such as IC mobile card and Application payment service of cloud based, NFC, sound wave, BLE(Bluetooth Low Energy), Biometric recognition technology etc. Especially, mobile payment service is discontinuous innovations that users should change their behavior and noble infrastructure should be installed. These require users to learn how to use it and cause infra-installation cost to shopkeepers. Additionally, payment industry has the strong path dependency. In spite of these obstacles, mobile payment service which should provide dramatically improved value as a products and service of discontinuous innovations is focusing on convenience and security, convenience and so on. We suggest the following to success mobile payment service. First, non-customers of the existing payment service need to be identified. Second, needs of them should be taken. Then, noble payment service provides non-customer who can't pay by the previous payment method to payment method. In conclusion, mobile payment service can create new market and will result in extension of payment market.