• Title/Summary/Keyword: Understanding of Basic Concepts

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RESULTS ON THE HADAMARD-SIMPSON'S INEQUALITIES

  • Asraa Abd Jaleel Husien
    • Nonlinear Functional Analysis and Applications
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    • v.29 no.1
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    • pp.47-56
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    • 2024
  • It is well known that inequalities enable us to analyze and solve complex problems with precision and efficiency. The inequalities provide powerful tools for establishing bounds, optimizing solutions, and deepening our understanding of mathematical concepts, paving the way for advancements in areas such as optimization, analysis, and probability theory. In this paper, we present some properties for Hadamard-Simpsons type inequalities in the classic integral and Riemann-Liouville fractional integral. We use the convexity of the given function and its first derivative.

A Chaos of Understanding on Performance Assessment in Mathematics Education (수학과 수행평가에 관한 이해의 혼돈 -최근 국내 논문 분석을 중심으로-)

  • 황혜정
    • The Mathematical Education
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    • v.42 no.2
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    • pp.159-176
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    • 2003
  • From the mid-1990s in Korea, performance assessment has been continuously emphasized in school mathematics and thus many researchers and teachers have been steadily studying this topic. But the concepts relevant to performance assessment and its purposes are very confusing because the mathematics educators' different views and voices are vary. As a result most mathematics teachers experience trouble in executing performance assessment properly and effectively in their math class. This unability for proper execution of performance assessment was once again revealed in this study which dealt with 15 articles on performance assessment. These 15 articles includes almost every article written on the topic of performance assessment that have been published in 4 domestic journals since December 1997. By examining this inability, it is required that its concepts and purposes should be organized with a common view and newly defined in the near future. Therefore, to successfully accomplish this, this paper outlines the basic problems on the understanding of performance assessment as follows: ㆍWhat is the relationship between performance assessment and alternative assessment\ulcorner ㆍWhat is the proper types(methods) of performance assessment\ulcorner ㆍIs the subject test a type of performance assessment\ulcorner ㆍWhat is the difference between subject test and essay test\ulcorner ㆍWhat is the relationship between performance assessment and performance tasks\ulcorner ㆍWhat is the relationship between performance tests and project method\ulcorner ㆍWhat is a project method\ulcorner ㆍIs it assessment standard or scoring standard to score a test result\ulcorner ㆍWhat is the difference between analytic scoring method and holistic scoring method?

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Evolutionary Developmental Perspectives on Child Development (아동발달에 대한 진화 발달적 관점)

  • Shin, HyeEun;Choi, Kyoung-Sook
    • Korean Journal of Child Studies
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    • v.26 no.5
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    • pp.185-204
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    • 2005
  • This paper demonstrated how application of evolutionary knowledge to developmental perspectives enhances understanding of human ontogeny. Evolutionary Developmental Psychology (EDP) explains human behavior through evolutionary principles and focuses on ontogeny rather than phylogeny. In this paper, the authors review concepts of evolution, adaptations, and the processes of evolution from EDP perspectives. The definition and basic assumptions of EDP are introduced, followed by explanations of how evolution happens in ontogeny by looking at developmental systems approaches, concepts of ontogenetic and deferred adaptations, evolution of childhood, and brain plasticity. Possible pathways of evolution in ontogeny are also discussed. Finally, some research methodology for applying EDP to child development is suggested with specific hypotheses and studies.

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A Study on the Cognitive Learning of Meaning through Frame Semantics (틀 의미론을 통한 인지적 의미학습에 관한 연구)

  • Oh, Ju-Young
    • Cross-Cultural Studies
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    • v.19
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    • pp.295-311
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    • 2010
  • The concept of frame in semantics has implications for our understanding of such problematic terms as "meaning" and "concept". It is conventional to say that a particular word corresponds to a particular "concept" and to assume that concepts are essentially identical across speakers. In contrast, the notion of frame accepts that the frame for a particular word can vary across speakers as a function of their particular life experience. To say, instead of thinking in terms of words as expressing "concepts", we should think of them as tools, like frames, that cause listeners to activate certain areas of their knowledge base, with different areas activated to different degrees in different contexts of use. This notion is Fillmore's most crucial contribution to current cognitive linguistic theories, and his frame semantics is built on such a notion. This paper discusses the basic assumptions and goals of frame semantics, and examines the notion of frame and illustrates various framing words of English and Korean under such a notion.

Understanding Biotechnology: An Analysis of High School Students' Concepts (생명공학의 기본 개념에 대한 고등학생의 이해도 조사 및 개념 분석)

  • Chung, Young-Lan;Kye, Bo-Ah
    • Journal of The Korean Association For Science Education
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    • v.18 no.4
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    • pp.463-472
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    • 1998
  • Biotechnology is the process of using biological system for the production of materials. Genetic engineering, a subset of biotechnology, is the process of altering biological systems by the purposeful manipulation of DNA It is a new field in biology and no topic in biology is more likely to impact our personal lives and is therefore more worthy of our attention and understanding. The purpose of this study was to investigate students' understanding of the concepts of biotechnology, and a test tool which is made up of 20 basic questions was developed for the study. The subject of this study was high school students and the sample size was 486. In order to find out the source of students' misunderstanding, we also analysed high school textbooks and teachers were given the same tool applied to students. Two-way ANOVA was used for the analysis. Major findings of this study are as following; 1. Mean score of students was 41, and there was a significant difference between the scores of boys and girls(p<0.05). Female students scored higher than male students. The variables "region" and "major" had no significant influence. 2. Students' the most misunderstood concepts were "monoclonal antibody" and "gene cloning". Many students thought that a plamid DNA originally has a useful DNA in it, which is apparently wrong. 3. Mean score of teachers was 82, and the variabes of gender and career did not have statistically significant influence on the result(p>0.05). 4. Teachers got the lowest scores on the concepts of "gene therapy", "the accomplishment of biotechnology in agriculture and medicine", and "plasmid DNA". The results of item analysis implied that teachers' misunderstanding might be a part of the sources of students' misunderstaning. 5. Out of 18 basic concepts selected in the study, only 10 concepts were explained well enough in most textbooks. The results of item analysis indicated that textbooks also could be a part of the source of students' misunderstanding.

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Current States of Sibling Researches in America (미국 동기관계연구의 최근동향 - 기본인식과 접근방법-)

  • 박영애
    • Journal of Families and Better Life
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    • v.8 no.2
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    • pp.147-162
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    • 1990
  • The purpose of this review is to establish a groundwork for building a more comprehensive conceptual framework within which various aspects of sibling relations and factor related to sibling behaviors con be explained and integrated. Descriptions of the trends and shifts in sibling studies are made in terms of their themes, variables, basic perceptions and general approaches, and analyzes of current state of sibling researches are made with relation to the conceptual aspects of the studies, namely, their standpoints on the issues of sibling variations, the sources of variations, and basic units of analysis, their reliance or emphasis on different methods, and their interests in the mediation processes. It is recognized that research variables have been successively differentiated and used in diversified manners and family ecology and systems theory viewpoints have been incorporated into the understanding of sibling relations. A triad in its full meaning, rather than a dyad or a partial trial, is proposed as a unit of analysis in order for the researchers to be able to examine and describe the true interactional aspects of family relations involving sibling relations. The concepts of coexistence and interaction are proposed as key concepts os that the inconsistencies in findings, differing viewpoints, contradicting conceptions , and contrasting approaches can be interpreted and integrated into a unified system of theories on siblings. The coexistence of similarities and differences in reality. the inevitability of interaction between individual variables and environmental variables and between within-family environmental factors and our-of-family environmental factors, and the need for the joint use of intrafamilial and extrafamilial approach are acknowledged. Attention is also drawn to the mechanism characteristics and the directionality of the mediating processes of mediating variables between a variable and its effects.

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An analysis of 6th graders' cognitive structure about division of fraction - Application of Word Association Test(WAT) - (분수의 나눗셈과 관련된 초등학교 6학년 학생들의 인지구조 분석 - 단어연상검사(Word Association Test) 적용 -)

  • Lee, Hyojin;Lee, Kwangho
    • The Mathematical Education
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    • v.53 no.3
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    • pp.329-355
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    • 2014
  • The purpose of this study is to understand the difference of cognitive structure depending on the level of the 6th graders' problem-solving abilities about the division of fraction and to propose a method for improving the 6th graders' understanding about the division of fraction through the word association test. The following is the findings from this study. 1)The lower level students' is, the lower the step that the chunk appeared in cognitive structure is. 2)The basic level students' association frequency between any two concepts was less than the excellent level students and the ordinary level students' it. 3)The basic level students' connection number between concepts was far less than the excellent level students and the ordinary level students' it. 4)The connection between natural number and unit fractions, subtraction of fraction and division of fraction, division of fraction and reduction to common denominator, and division of fraction and common multiple that expected in this study did not appear in the three groups.

An Ethnography of the Concept of Illness by the Elderly (노인의 질병 관념에 관한 문화기술적 연구)

  • Cho, Myoung Ok
    • Korean Journal of Adult Nursing
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    • v.12 no.4
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    • pp.690-705
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    • 2000
  • This ethnography was based on Kleinman's explanatory model of a health care system. It is conducted to make thick discription of illness conception of the elderly in a sociocultural context. The basic assumptions were as follows. 1) A health care system is a cultural system, and as with any other cultural system, it is a system of symbolic meanings anchored in a particular arrangement of social institutions and patterns of interpersonal relationships; 2) In all societies health care activities are more or less interrelated. Therefore, they need to be in a holistic manner as socially organized responses to disease that constitute a special cultural system; health care system; 3) Health and illness experiences are the natural process of disease. Individuals who recognized a for state of health, their family, neighbors, and communities define the state, search for causes of the health problems, and response to it. According by, they proceed to search for healing stratagies. So, understanding of the illness experience is the starting point for health care. The study participants were 12 elders aged 60 or more. The fieldwork was conducted in an agricultural clan village of Namwon city. The data collection and analysis were cyclic, from descriptive observation, domain analysis, focused observation, taxanomic analysis, selected observation, componential analysis, and finally cultural themes were all analysed. Proxemic and text analysis techniques were used according to the characteristics of the data. The data of sociocultural context and descriptive data were collected from 1990 to 1992. Informations on illness concepts were collected during 1994 using focused observation. Data confirming and contrast observations were conducted from 1997 and 1999. Illness concepts of the elderly were taxonomized supernatural cause, non-supernatural cause, immediate cause, and ultimate cause. The supernatural ones were ancestors, god of home, god of village, and ghost such as 'sal(evil force of dead man)' and 'gagqui(ghost of begger)'. The non-supernatural ones were Ki, natural phenomenones, natural objects, foods, human and human behaviors. Immediate ones were insufficiency and overflows, discretion and consolidation, disorder and out of order, cloudness and contamination, and fluctuation and stagnation of supernatural cause and non-supernatural ones. Ultimate causes were intrusion and loss of supernatural and nonsupernatural ones. The cultural themes of illness concepts of the elderly are: 1) illness concepts are not based on causality principle, but on reciprocal principle; 2) illness concepts are affected by social level and charicteristics of the patients; 3) the causes of disease are recognized as imposed both positive and negative effects on health based on interpretation of the indiviuals; 4) illness concepts reflects on principles of everyday life of the society members such as hierachial structure and group cohesiveness; 5) illness concepts are ruled on principle of reciprocity and spread; 6) illness concepts are interrelated with physical environment of the participants. It can be concluded that the illness concepts of the elderly in a traditional clan village are a component of health care system as a cultural system based on these results. The these results can be a useful basis for gerontological nursing practice and education.

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A Study on the Articulation between Kindergarten and 1st Grade in Mathematics Education (유치원과 초등 1학년 아동의 수학 교육 연계에 관한 연구)

  • 김숙자;권영례;신인선;김상미
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.1-17
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    • 2000
  • The purpose of this study is to analyze the articulation between the kindergarten and 1st grade in mathematics education. for this purpose, the problems of this study selected as follows :(ⅰ) What is the mathematical concepts related between the kindergarten curriculum and the 1st grade curriculum\ulcorner (ⅱ) How is the mathematics classroom in the kindergarten and 1st grade\ulcorner (ⅲ) Which instructional materials are used in the kindergarten and the 1st grade\ulcorner (ⅳ) What is the new direction of articulation between the kindergarten and first grade in mathematics education\ulcorner The results of this study are as follows : (ⅰ) According to examining each curriculum the focus is on understanding the basic concepts of number in the kindergarten, on the concepts of number, addition and subtraction in the 1st grade. (ⅱ) By being analyzed the mathematics classrooms of the kindergarten and the 1 st grade, it is different the focus of lessons or the teaching strategies. (ⅲ) As a result of analysing the teaching plans in the kindergarten and the survey in the first grade teachers, used instructional materials are manipulative ones. While mainly used materials are puzzles and blocks in kindergarten, a paduk stone, number cards, sankagi are used in 1st grade. (ⅳ) Finally, we propose the direction of articulation between the kindergarten and 1st grade in mathematics education.

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The Need for Paradigm Shift in Semantic Similarity and Semantic Relatedness : From Cognitive Semantics Perspective (의미간의 유사도 연구의 패러다임 변화의 필요성-인지 의미론적 관점에서의 고찰)

  • Choi, Youngseok;Park, Jinsoo
    • Journal of Intelligence and Information Systems
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    • v.19 no.1
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    • pp.111-123
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    • 2013
  • Semantic similarity/relatedness measure between two concepts plays an important role in research on system integration and database integration. Moreover, current research on keyword recommendation or tag clustering strongly depends on this kind of semantic measure. For this reason, many researchers in various fields including computer science and computational linguistics have tried to improve methods to calculating semantic similarity/relatedness measure. This study of similarity between concepts is meant to discover how a computational process can model the action of a human to determine the relationship between two concepts. Most research on calculating semantic similarity usually uses ready-made reference knowledge such as semantic network and dictionary to measure concept similarity. The topological method is used to calculated relatedness or similarity between concepts based on various forms of a semantic network including a hierarchical taxonomy. This approach assumes that the semantic network reflects the human knowledge well. The nodes in a network represent concepts, and way to measure the conceptual similarity between two nodes are also regarded as ways to determine the conceptual similarity of two words(i.e,. two nodes in a network). Topological method can be categorized as node-based or edge-based, which are also called the information content approach and the conceptual distance approach, respectively. The node-based approach is used to calculate similarity between concepts based on how much information the two concepts share in terms of a semantic network or taxonomy while edge-based approach estimates the distance between the nodes that correspond to the concepts being compared. Both of two approaches have assumed that the semantic network is static. That means topological approach has not considered the change of semantic relation between concepts in semantic network. However, as information communication technologies make advantage in sharing knowledge among people, semantic relation between concepts in semantic network may change. To explain the change in semantic relation, we adopt the cognitive semantics. The basic assumption of cognitive semantics is that humans judge the semantic relation based on their cognition and understanding of concepts. This cognition and understanding is called 'World Knowledge.' World knowledge can be categorized as personal knowledge and cultural knowledge. Personal knowledge means the knowledge from personal experience. Everyone can have different Personal Knowledge of same concept. Cultural Knowledge is the knowledge shared by people who are living in the same culture or using the same language. People in the same culture have common understanding of specific concepts. Cultural knowledge can be the starting point of discussion about the change of semantic relation. If the culture shared by people changes for some reasons, the human's cultural knowledge may also change. Today's society and culture are changing at a past face, and the change of cultural knowledge is not negligible issues in the research on semantic relationship between concepts. In this paper, we propose the future directions of research on semantic similarity. In other words, we discuss that how the research on semantic similarity can reflect the change of semantic relation caused by the change of cultural knowledge. We suggest three direction of future research on semantic similarity. First, the research should include the versioning and update methodology for semantic network. Second, semantic network which is dynamically generated can be used for the calculation of semantic similarity between concepts. If the researcher can develop the methodology to extract the semantic network from given knowledge base in real time, this approach can solve many problems related to the change of semantic relation. Third, the statistical approach based on corpus analysis can be an alternative for the method using semantic network. We believe that these proposed research direction can be the milestone of the research on semantic relation.