• Title/Summary/Keyword: concepts understanding

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Hierarchical Analysis of Astronomical Space Concepts Based on the Knowledge Space Theory (지식공간론에 기초한 천문학적 공간개념의 위계 분석)

  • Yoon, Ma-Byong;Kim, Hee-Soo
    • Journal of the Korean earth science society
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    • v.31 no.3
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    • pp.259-266
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    • 2010
  • High school students' understanding hierarchy of astronomical concepts and an individual student's knowledge state are analyzed by using the knowledge space theory that allows one to infer an individual's entire knowledge on a subject based on fragmentary information coming from that student's answers. The hierarchy of astronomical space concepts is: spatial position$\ll$spatial reasoning$\ll$spatial variation. In addition, an analysis of assessment materials using the knowledge space theory shows not only the relationship of assessment questions but also the knowledge state of individual students, which the current evaluation method is not able to reveal. Therefore, the assessment analysis of this study using the knowledge space theory becomes critically instrumental in providing information of an instructional differentiation amenable to individual learners for deciding their level of understanding and selecting suitable curriculum.

Visualization of Calculus Concepts with GeoGebra (GeoGebra와 미분적분학 개념의 시각화)

  • Lee, Sang-Gu;Jang, Ji-Eun;Kim, Kyung-Won;Park, Kyung-Eun
    • Communications of Mathematical Education
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    • v.28 no.4
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    • pp.457-474
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    • 2014
  • Recently, with the development of technology, intuitive understanding of abstract mathematical concepts through visualizations is growing in popularity within college mathematics. In this study, we introduce free visualization tools developed for better understanding of topics which students learn in Calculus. We visualize important concepts of Calculus as much as we can according to the order of most Calculus textbooks. In this process, we utilized a well-known, free mathematical software called GeoGebra. Finally, we discuss our experience with visualizations in Calculus using GeoGebra in our class and discuss how it can be effectively adopted to other university math classes and high school math education.

Study on the Development of a Model for Teaching and Learning Mathematics Using Graphic Calculators (그래픽 계산기를 활용하는 수학과 교수-학습 자료 모형 개발 연구)

  • 강옥기
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.453-474
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    • 1998
  • This study is focused on the possibility if we can use graphic calculators in teaching and learning school mathematics. This study is consisted with four main chapters. In chapter II, the functions of the graphic calculator EL-9600 produced by Sharp Corporation was analyzed focused on the possibilities if the functions could be used in teaching and learning school mathematics. Calculating of real numbers and complex numbers, solving equations and system of linear equations, calculating of matrices, graphing of several functions including polynomial functions, trigonometric functions, exponential and logarithmic functions, calculation of differential and integrals, arranging of statical data, graphing of statistical data, testing of statistical hypotheses, and other more useful functions were founded. In Chapter III, a mathematics textbook developed by Core-Plus Mathematics Project was analyzed focused on how a graphic calculator was used in teaching and learning mathematics, In the textbook, graphic calculator was used as a tool in understanding mathematical concepts and solving problems. Graphic calculator is not just a tool to do complex computations but a tool used in the processes of doing mathematics, In chapter IV, the 7th mathematics curriculum for korean secondary schools was analyzed to find the contents could be taught by using graphic calculators. Most of the domains, except geometric figure, were found that they could be taught by using graphic calculators, In chapter V, a model of a unit using graphic calculator in teaching 7th mathematics curriculum was developed. In this model, graphic calculator was used as a tool in the processes of understanding mathematical concepts and solving problems. This study suggests the possibilities that we can use graphic calculators effectively in teaching and learning mathematical concepts and problem solving for most domains of secondary school mathematics.

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An Analysis on Understanding of Gifted Students in Elementary Mathematics about Situations and Concepts of Multiplication (초등수학영재의 곱셈 상황에 따른 개념 이해 분석)

  • Kim, Young A;Kim, Sung Joon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.283-309
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    • 2016
  • The purpose of this study is to investigate gifted students in elementary mathematics how they understand of situations involving multiplication and concepts of multiplication. For this purpose, first, this study analyzed the teacher's guidebooks about introducing the concept of multiplication in elementary school. Second, we analyzed multiplication problems that gifted students posed. Third, we interviewed gifted students to research how they understand the concepts of multiplication. The result of this study can be summarized as follows: First, the concept of multiplication was introduced by repeated addition and times idea in elementary school. Since the 2007 revised curriculum, it was introduced based on times idea. Second, gifted students mainly posed situations of repeated addition. Also many gifted students understand the multiplication as only repeated addition and have poor understanding about times idea and pairs set.

Conceptual Understanding of Thought-Action Fusion and Cognitive Fusion : Focus on Obsessive-Compulsive Symptoms (사고-행동 융합과 인지적 융합의 개념적 이해 : 강박증을 중심으로)

  • Lee, Sang Won;Lee, Kyung-Uk;Choi, Mina;Lee, Seung Jae
    • Anxiety and mood
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    • v.15 no.1
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    • pp.1-12
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    • 2019
  • Thought-action fusion (TAF) is a tendency to blindly assume causal relations between their thoughts and external reality. On the other hand, cognitive fusion (CF) is a tendency to take internal experiences, such as thoughts and feeling, literally rather than view them as random events. However, these two terms are often confusedly used and, in fact, have conceptual overlaps. Therefore, this study aimed to identify their distinctive features through a comprehensive review of the definition, origin, measurements and clinical implications especially on the understanding of obsessive-compulsive symptoms. The cognitive-behavioral concept of TAF is confined to erroneous and maladaptive beliefs about the connection between thoughts and behaviors. The CF is a broader construct that entails taking thoughts and feelings as facts and engaging or struggling with them such that the quality of life is lowered. They also have different theoretical backgrounds, developing processes and therapeutic approaches. From the perspective of the obsessive-compulsive disorder, both concepts have been studied as mid-structures for this illness. Recently, the effectiveness of psychological therapies related to these concepts such as defusion therapy has been tested. However, it is yet still in its infancy. In the future, complementary advances between the two concepts with studies on biological substrates is needed.

Hepatic encephalopathy on magnetic resonance imaging and its uncertain differential diagnoses: a narrative review

  • Chun Geun Lim;Myong Hun Hahm;Hui Joong Lee
    • Journal of Yeungnam Medical Science
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    • v.40 no.2
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    • pp.136-145
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    • 2023
  • Hepatic encephalopathy (HE) is a severe neuropsychiatric abnormality in patients with either acute or chronic liver failure. Typical brain magnetic resonance imaging findings of HE are bilateral basal ganglia high signal intensities due to manganese deposition in chronic liver disease and hyperintensity in T2, fluid-attenuated inversion recovery, or diffusion-weighted imaging (DWI) with hemispheric white matter changes including the corticospinal tract. Low values on apparent diffusion coefficient mapping of the affected area on DWI, indicating cytotoxic edema, can be observed in acute HE. However, neuropsychological impairment in HE ranges from mild deficits in psychomotor abilities affecting quality of life to stupor or coma with higher grades of hepatic dysfunction. In particular, the long-lasting compensatory mechanisms for the altered metabolism in chronic liver disease make HE imaging results variable. Therefore, the clinical relevance of imaging findings is uncertain and differentiating HE from other metabolic diseases can be difficult. The recent introduction of concepts such as "acute-on-chronic liver failure (ACLF)," a new clinical entity, has led to a change in the clinical view of HE. Accordingly, there is a need to establish a corresponding concept in the field of neuroimaging diagnosis. Herein, we review HE from a historical and etiological perspective to increase understanding of brain imaging and help establish an imaging approach for advanced new concepts such as ACLF. The purpose of this manuscript is to provide an understanding of HE by reviewing neuroimaging findings based on pathological and clinical concepts of HE, thereby assisting in neuroimaging interpretation.

A Case Study about Influence of Primary Mathematic Concepts on the Composition of Mathematic Concepts in 3rd grade Prodigies of Elementary Schools - Focusing on Addition and Multiplication of Fractions - (수학의 1차적 개념이 초등학교 3학년 영재아의 수학적 개념구성과정에 미치는 영향에 대한 사례연구 - 분수의 덧셈과 곱셈을 중심으로 -)

  • Kim, Hwa Soo
    • Journal of Gifted/Talented Education
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    • v.24 no.1
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    • pp.17-43
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    • 2014
  • On the subjects of elementary 3rd grade three child prodigies who had learned the four fundamental arithmetic operations and primary concepts of fraction, this study conducted a qualitative case research to examine how they composed schema of addition and multiplication of fractions and transformed schema through recognition of precise concepts and linking of concepts with addition and multiplication of fractions as the contents. That is to say, this study investigates what schema and transformed schema child prodigies form through composition of primary mathematic concepts to succeed in relational understanding of addition and multiplication of fractions, how they use their own formed schema and transformed schema for themselves to approach solutions to problems with addition and multiplication of fractions, and how the subjects' concept formation and schema in their problem solving competence proceed to carry out transformations. As a result, we can tell that precise recognition of primary concepts, schema, and transformed schema work as crucial factors when addition of fractions is associated with multiplication of fractions, and then that the schema and transformed schema that result from the connection among primary mathematic concepts and the precise recognition of the primary concepts play more important roles than any other factors in creative problem solving with respect to addition and multiplication of fractions.

Korean University Students' Understanding of Idealization in Mechanics and Its Implications for Physics Education

  • Song, Jin-Woong;Park, Jong-Won
    • Journal of The Korean Association For Science Education
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    • v.21 no.5
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    • pp.906-923
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    • 2001
  • This study investigated university students' (majoring physics education) understanding of some aspects of idealization frequently used in teaching and learning of physics, especially of mechanics. A total of 143 students were given a Questionnaire of six questions requiring written responses. Out of the six questions, the first three were concerned with basic idealized concepts, the next two with the making of the assumptions of ideal conditions for given problem settings, and the last with the identification of the idealization used in the given solution of a problem. Students' written responses were grouped into patterns and the relative frequencies of the patterns were counted. It was found that the students had limited understanding of the idealization and their ideas were diverse and frequently incorrect. The implications of the findings are discussed in relation to the roles of idealization in physics education.

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Understanding Mathematics Textbook Based on the Seventh School Curriculum (제 7차 교육과정에 따른 수학 교과서의 이해: 초등학교를 중심으로)

  • 신항균;황혜정
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.31-41
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    • 2000
  • There has been much concern and worry about executing school curriculum from the year 2000 because the seventh curriculum is based on the complicated' differentiated education' concept. Now the new textbook has been developed according to the curriculum. This paper will reinforce the understanding of the curriculum and textbook in school math. In order to do this, this paper will present questions on three subjects to help school teachers and people related to math education to probe and discuss the benefits and problems of teaching math using the new textbook. The three subjects are based on the contents included in certain chapters of the math textbook. These are 1) understanding mathematics concepts using manipulatives or concrete objects, 2) doing math projects or problem solving activities 3) learning mathematics using calculators. furthermore, it is emphasized in this paper that math teachers must keep in mind that they should execute instruction in their own way using the 'textbook' not as a bible but as a guideline.

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Basics of Deep Learning: A Radiologist's Guide to Understanding Published Radiology Articles on Deep Learning

  • Synho Do;Kyoung Doo Song;Joo Won Chung
    • Korean Journal of Radiology
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    • v.21 no.1
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    • pp.33-41
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    • 2020
  • Artificial intelligence has been applied to many industries, including medicine. Among the various techniques in artificial intelligence, deep learning has attained the highest popularity in medical imaging in recent years. Many articles on deep learning have been published in radiologic journals. However, radiologists may have difficulty in understanding and interpreting these studies because the study methods of deep learning differ from those of traditional radiology. This review article aims to explain the concepts and terms that are frequently used in deep learning radiology articles, facilitating general radiologists' understanding.