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Analysis on Students' Abilities of Proof in Middle School (중학교 학생의 증명 능력 분석)

  • 서동엽
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.183-203
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    • 1999
  • In this study, we analysed the constituents of proof and examined into the reasons why the students have trouble in learning the proof, and proposed directions for improving the teaming and teaching of proof. Through the reviews of the related literatures and the analyses of textbooks, the constituents of proof in the level of middle grades in our country are divided into two major categories 'Constituents related to the construction of reasoning' and 'Constituents related to the meaning of proof. 'The former includes the inference rules(simplification, conjunction, modus ponens, and hypothetical syllogism), symbolization, distinguishing between definition and property, use of the appropriate diagrams, application of the basic principles, variety and completeness in checking, reading and using the basic components of geometric figures to prove, translating symbols into literary compositions, disproof using counter example, and proof of equations. The latter includes the inferences, implication, separation of assumption and conclusion, distinguishing implication from equivalence, a theorem has no exceptions, necessity for proof of obvious propositions, and generality of proof. The results from three types of examinations; analysis of the textbooks, interview, writing test, are summarized as following. The hypothetical syllogism that builds the main structure of proofs is not taught in middle grades explicitly, so students have more difficulty in understanding other types of syllogisms than the AAA type of categorical syllogisms. Most of students do not distinguish definition from property well, so they find difficulty in symbolizing, separating assumption from conclusion, or use of the appropriate diagrams. The basic symbols and principles are taught in the first year of the middle school and students use them in proving theorems after about one year. That could be a cause that the students do not allow the exact names of the principles and can not apply correct principles. Textbooks do not describe clearly about counter example, but they contain some problems to solve only by using counter examples. Students have thought that one counter example is sufficient to disprove a false proposition, but in fact, they do not prefer to use it. Textbooks contain some problems to prove equations, A=B. Proving those equations, however, students do not perceive that writing equation A=B, the conclusion of the proof, in the first line and deforming the both sides of it are incorrect. Furthermore, students prefer it to developing A to B. Most of constituents related to the meaning of proof are mentioned very simply or never in textbooks, so many students do not know them. Especially, they accept the result of experiments or measurements as proof and prefer them to logical proof stated in textbooks.

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The Analysis of 'Software Education' Unit in the Practical Arts Textbooks According to 2015 Revised Curriculum (2015 개정 교육과정에 따른 실과 교과서 '소프트웨어 교육' 단원 분석)

  • Kim, Myeong-nam;Park, SunJu
    • Journal of The Korean Association of Information Education
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    • v.23 no.3
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    • pp.255-264
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    • 2019
  • Modern society has become a key factor in determining software competitiveness. Therefore, Korea has required more than 17 hours of software education per year in the actual course subject to the 2015 revised curriculum. In this paper, we analyzed the software related units in 6 kinds of textbooks of elementary school published based on '2015 revised curriculum' and tried to provide basic data for selection of textbooks related to software education in elementary school. As a result of the analysis, the 6 revised textbooks of 2015 appropriately reflected both 'understanding of software', 'procedural problem solving', 'contents of programming element and structure', and I was suggesting appropriate activities. Unit support materials use comics and illustrations to stimulate interest, supplement text, and deepen learning. Four kinds of textbooks provide additional information by presenting reading materials. However, in most textbooks, the proportion of learning using the appendix was low. Although it consists of units focused on knowledge understanding and practice, it can be a textbook that enhances students' interest and participation if they are made of software in daily life, problem solving by procedural thinking, and so on.

A Study on Normative Expectation of Emotional Process in Children′s Tectbooks of the Chosen Dynasty(II) (조선시대 아동교육용 문헌에 나타난 정서과정에 대한 구범적 기대(II))

  • Shin Yangjai
    • Journal of the Korean Home Economics Association
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    • v.42 no.11
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    • pp.17-30
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    • 2004
  • The purpose of this study was to explore the normative expectations of positive emotions such as happiness and pride in Korean culture by analyzing the children's textbooks in the Chosen Dynasty period. The method of this study was document analysis and the materials for analysis were 'Dongmongsensp', 'Gyukmongyogyul', 'Myungimbogam', and 'Sohak', that were the textbooks for children's education and invoked the ethics of individual life based on Confucianism. The analysis was focused on the antecedent events, emotional consequences, and emotional regulation in the emotional process of happiness and pride. According to the analysis, happiness was caused by the accomplishment of cultural tasks such as supporting parents, observing laws, being moderate, improving oneself with reading good books, and modeling good deeds, as well as parents' love, which had desirable consequences. Hence, the emotional regulation was to enhance happiness, but far as immoderate experience of happiness, the regulatory rule was expected to suppress it. Also, the antecedents of pride were those demonstrating to have power or occupying a high social position, and the consequences of pride led to self-destruction, and pride was therefore not allowed to be expressed. Consequently, happiness was enhanced because it motivated individuals to accomplish cultural tasks of interdependence, whereas pride was inhibited because it tended to disengage self from social connectedness.

A Comparison of Elementary Science Teaching Materials in the United States and Korea (한국과 미국의 초등학교 자연과 교수 자료의 비교 분석)

  • Kim, Hyo-Nam
    • Journal of The Korean Association For Science Education
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    • v.16 no.1
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    • pp.35-40
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    • 1996
  • Teaching materials are an important aspect to decide the quality of education. Science teaching materials include textbook, workbook, worksheet, OHP materials, posters, computer softwares, experimental equipments, slides, video tapes, and other audio-vidual materials. This comparing research is based on the contemporary teaching materials used in elementary schools of the United States and Korea in 1990s. The results of this study are : 1. The United States has more elementary science teaching materials such as posters, worksheets, computer softwares, OHP materials than Korea. Both countries developed elementary science textbooks, activity books, video tapes, science reading materials, and experimental equipments. 2. The frequancy of using these science teaching materials in Korea is bigger than that in the United States. In Korean elementary science classes, most of instructions are progressed by experimental activities. Korean elementary science textbooks are mostly consisted of science activities, but those of the United States includes science information, science related jobs, STS articles and some portion of science activities. 3. Experimental equipments of the United States are stronger than those of Korea. Various and excellent elementary science teaching materials such as computer softwares, posters, audio-vidual materials, and experimental equipments should be developed and used in elementary science classes for better elementary science education.

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Soil and Soil Science Education in the Primary School Through Appearance of "흙[heuk], Soil" in the Korean Reading Textbook

  • Jung, Yeong-Sang;Joo, Jin-Ho;Lee, Eui-Do;Sonn, Yeon-Kyu
    • Korean Journal of Soil Science and Fertilizer
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    • v.48 no.2
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    • pp.87-93
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    • 2015
  • Public education on soil and soil science in Korea was reviewed through textbooks written in Korean which were used in the primary schools since 1950's. Numbers of words 흙[heuk], the Korean native word meaning soil, and 토양[土壤, toyang], originated from Chinese characters, were counted, and compared with the textbooks published in 1950's, 1970's, and 1990's, 2010's. The Korean native word "heuk" was used 20 times in 1950's, and increased to 55 times in 1970's. In 1990's version, it was decreased to 31 times and to 20 times in the 2010's version. The first appearance in the 1950's version was in the 3rd grade book, but was in the $1^{st}$ grade books in both 1990's and 2010's. In this recent version, the primary school students met this word on the poet, "Toad, Toad build a house", and "Sprout come out through soil clod". The word, "토양, toyang", originated from Chinese characters, 土壤, appears only 2 times in the $6^{th}$ grade in 2010's version. Authors conclusively recommend children should learn meaning of soil at early stage of primary school easily with positive image.

Analysis of Students' Level of Participation through the Content Analysis of the Unit of Dietary Life from Grade 9 Technology.Home Economics Textbooks (중학교 2학년 기술.가정 교과 내 식생활 단원의 내용 분석을 통한 학생들의 실천도 조사)

  • Kim, Yoon-Sun;Kim, Bok-Ran
    • Journal of Korean Home Economics Education Association
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    • v.25 no.2
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    • pp.65-78
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    • 2013
  • The following experiment was designed to test the students' involvement in the interactive activities and objectives of the relevant chapters in the newly revised curriculum of 2007. The experiment was carried out with the purpose of understanding the level of participation of the Grade 9 students who have successfully completed the Grade 8 "Choice of Food and Diet" and "Table Manners and Dining Etiquette" courses with classified materials such as tables/diagrams/pictures, reading, and activity resources from Technology Home Economics textbooks. The chapters "Choice of Food and Diet" and "Food Preparation and Etiquette" generally emphasize the practical and experiential part of domestic life through using various activity resources; while the tables/diagrams/pictures and reading materials do not provide the students with first-hand experience, they support the students' learning by explaining the basic knowledge required for doing the activities and solving various problems. Within the main training courses, the objectives which the students achieved the highest marks were(in a descending order) "Table Manners and Dining Etiquette" (3.24), "Checking Nutrition Labels, Food Expiration Date, Country of Origin When Buying Food" (3.18), Additionally "Making Food" and "Planning a Healthy, Balanced Diet" hardly met the goals, the result of which shows clear relations to the well achieved objectives from the list of in-class activities that students directly participated in. Therefore, in order to increase the students' interest in the Food and Diet section of Technology Home Economics textbooks, it is recommended to encourage the students to actively engage in the class activities by developing various learning resources and teacher education/pedagogical materials, rather than following the conventional lecture-based teaching methods.

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On Science Textbooks and Related Teaching Learning Materials (과학교과서와 그에 관련된 교수 학습자료의 활용 실태 조사)

  • Kwon, Chi-Soon
    • Journal of The Korean Association For Science Education
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    • v.5 no.2
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    • pp.81-88
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    • 1985
  • The purpose of the study was to establish a new view of textbook which may contribute to the abolishment of the instruction mainly based on the only textbook and to the promotion of creativities of students. We first reviewed science textbooks and related teaching-learning materials of foreign countries with emphasis on the relationship among textbook and teaching-learning materials and practical use of them. In western countries the roles of traditional textbook has been changed. That is, various kinds of materials such as reading book, work-book, worksheet, experimental guidebook, filmstrips are used to raise effect of instruction besides of traditional type of textbook. Secondary, we identified the problems related to the science textbook-view of textbook, textbook contents, practical use of textbook-through opinion survey administered to principals akd teachers of elementary schools. The results of the survey are as follows; Concerning the view of textbook, most teachers did not recognize textbook as an absolute materials. They thought that textbook contents could be taught reorganized according to their judgements. On the contrary, teachers responded to the question of whether or not they follow contents of textbook as they are presented in it were approximately 30%. Further, more than 75% of them have seldom used instructional materials except textbooks. In order to revise the problems of our present textbook as stated above, a new view of textbook should be established. We, above all, established 4 basic premises for searching a new view of textbook. 1) Textbook should not be considered as the only material but as being at the center of various teaching -learning materials. 2) The importance of textbook should be illustrated Among Curriculum, textbook and related teaching-learning materials, instruction and evaluation. 3. Textbook contents should not be regarded as definitely fixed or absolute ones. 4. Human being can understand environment more fully by commanding his swnsory organ multilaterally. Under these premises we disscussed about curriculum and textbook, textbook, and instruction, akd evaluation method.

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A Bibliographical Research on Textbooks of Missionary Schools in Korea during the Opening Period (한국 개화기 기독교학교 교과서의 서지학적 연구)

  • Kim Bong-Hee
    • Journal of the Korean Society for Library and Information Science
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    • v.23
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    • pp.63-106
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    • 1992
  • The opening period of Korea was the period of modernisation amidst the conflicts between conservative and progressive sections with penetration of Western powers after 1876. With the opening modernisation accompanied modernisation of education. Missionary schools established by protestant missionaries played a crucial role in educational modernisation in the period of opening. In this article, the process of educational modernisation and the ways in which the ideas of democracy and equality were taught in the earliest schools, Paejae, Ewha, Kyoungsin and Chungsin are analysed through the method of bibliographical investigation of the textbooks used by these schools. No textbook prior to 1900 was found and in general there were no textbooks such as we know today. Usually English reading material and the Bible were the main teaching materials. Teachers kept their own copies of hand-written texts which were translated versions of American textbook. Since the same teacher taught in a number of schools, they shared same curriculum. In the early period, English Bible was taught so that English and the Bible lessons were not separated but gradually history and geography were added. Teaching of Hangul, and Korean history were added to encourage the sense of national identity and patriotism. In the case of Chungsin, for biology class, pupils were sent to Che-jung-won to learn human physiology, chemistry and physics, which shows an emphasis on science education. Vocational education was carried out; in the case of Paejae, a printing workshop was set up enabling students to earn some money at the same time as learning. Also in Kyungsin, skills of woodwork and basket weaving were stressed. Ewha also held a bazaar of the work made in sewing classes. Establishment of missionary schools brought about a great contribution in modernising Korean society and the Christian spiritual education of these schools lay the foundation for building democracy in Korea.

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An Analysis of Elements for Teacher Librarians' Educational Information Services Embedded in Common Inquiry Tasks of World History Territory in Korean Middle School History Studies (중학교 「역사」 교과서 세계사 영역의 공통 탐구 과제에 포함된 사서교사의 교육정보서비스 요소 분석)

  • Song, Gi-Ho
    • Journal of the Korean Society for Library and Information Science
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    • v.50 no.2
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    • pp.5-23
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    • 2016
  • The purpose of this study is to analyze common inquiry tasks of middle school history textbooks and find out it's implications on teacher librarians' educational information services. There are 84 common inquiry tasks according to examinations of inquiry tasks related to world history in 18 kinds of middle school history textbooks. Results of the analysis show that almost all of common inquiry tasks of world history make middle school students who should resolve them research the pictures and reading materials included in the textbooks individually and verbalize under the information literacy process. Compared with information literacy process of the "Library and Information Skills" for middle schools, the First step of task definition and figuring out information needs and the Third step of representation of information are being implemented. For this reason, teacher librarian could reduce history studies teachers' burden of running the class and promote students' inquiry activities by teaching skills of information analysis and interpretation, synthesis and organization and evaluation of their information literacy process and results.

The Effect of Orthography on Electronic Character Reading and Comprehending Ability in Japanese Education using ICT (ICT를 활용한 일본어 교육에서 문장 표기 형식이 영상문자 낭독 및 내용 파악에 미치는 효과)

  • Kang, Shin-Cheol;Kim, Min-Ki
    • The Journal of Korean Association of Computer Education
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    • v.7 no.6
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    • pp.85-93
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    • 2004
  • We investigated the proper display environment for japanese electronic character reading lessons through the experiment with a projection TV and a computer. For the purpose of finding out the effect of prior learning activities at the context of authentic Japanese text orthography, which includes dual notation, words spacing, etc., we also made an experiment on comprehending the web documents which are extracted from japanese web sites. From the experimental results, we acquired a conclusion that two approaches are needed to enhance the ability of comprehending Japanese web documents which is newly added to the 7th curriculum revision. For short-term approach, we need to utilize Japanese web documents as learning materials. For long-term approach, we have to reconsider whether the orthography of the current Japanese textbooks is suitable or not.

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