• Title/Summary/Keyword: mathematical assessment

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Development of an Adaptive e-Learning System for Engineering Mathematics using Computer Algebra and Bayesian Inference Network (컴퓨터 대수와 베이지언 추론망을 이용한 이공계 수학용 적응적 e-러닝 시스템 개발)

  • Park, Hong-Joon;Jun, Young-Cook
    • The Journal of the Korea Contents Association
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    • v.8 no.5
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    • pp.276-286
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    • 2008
  • In this paper, we introduce an adaptive e-Learning system for engineering mathematics which is based on computer algebra system (Mathematica) and on-line authoring environment. The system provides an assessment tool for individual diagnosis using Bayesian inference network. Using this system, an instructor can easily develop mathematical web contents via web interface. Examples of such content development are illustrated in the area of linear algebra, differential equation and discrete mathematics. The diagnostic module traces a student's knowledge level based on statistical inference using the conditional probability and Bayesian updating algorithm via Netica. As part of formative evaluation, we brought this system into real university settings and analyzed students' feedback using survey.

Current Status of the Numerical Models for the Analysis of Coupled Thermal-Hydrological-Mechanical Behavior of the Engineered Barrier System in a High-level Waste Repository (고준위폐기물처분장 공학적방벽시스템의 열-수리-역학적 복합거동 해석 모델 개발 현황)

  • Cho, Won-Jin;Kim, Jin Seop;Lee, Changsoo;Choi, Heui-Joo
    • Journal of Nuclear Fuel Cycle and Waste Technology(JNFCWT)
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    • v.10 no.4
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    • pp.281-294
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    • 2012
  • The current status of the computer codes for the analysis of coupled thermal-hydrological-mechanical behavior occurred in a high-level waste repository was investigated. Based on the reported results on the comparison between the predictions using the computer codes and the experimental data from the in-situ tests, the reliability of the existing computer codes was analyzed. The presented codes simulated considerably well the coupled thermal-hydrological-mechanical behavior in the near-field rock of the repository without buffer, but the predictions for the engineered barrier system of the repository located at saturated hard rock were not satisfactory. To apply the current thermal-hydrological-mechanical models to the assessment of the performance of engineered barrier system, a major improvement on the mathematical models which analyze the distribution of water content and total pressure in the buffer is required.

A Study on Analyzing and Assessing the Divergent Products of the Mathematically Gifted 5th Grade Students in Elementary Schools (초등학교 5학년 수학 영재 학생의 확산적 산출물의 분석 및 평가에 관한 연구)

  • Lim, Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.2
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    • pp.171-194
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    • 2006
  • As it is not long since the gifted education was implemented in elementary school, it is necessary to accumulate the practical studies on the mathematically gifted education. This paper focused on enhancing creativity by providing the various and divergent thinking activities for mathematically gifted students. For this purpose, I prepared two mathematics problems, and , and let the mathematically gifted 5th grade students solve them. After that, I investigated to analyse their reactions in detail and tried to find the methods for assessing their divergent products. Finally, I found that they could pose various and meaningful calculating equations and also identify the various relations between two numbers. I expect that accumulating these kinds of practical studies will contribute to the developments of gifted education, in particular, instructions, assessments, and curriculum developments for the mathematically gifted students in elementary schools.

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Evaluation of a Gifted Education Program for Mathematically Gifted Children in Seoul Area (초등 수학 영재 프로그램 평가 - 서울시 A 교육청 평가 사례를 중심으로 -)

  • Jeong, Soo Ji;Kim, Min Kyeong
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.1
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    • pp.149-168
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    • 2014
  • Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

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SOM(State of Mind) Model for Emotional Judgement Asymmetry between Positive and Negative Information (감성판단에 대한 SOM(States of Mind) 모형 : 긍정적/부정적 정보의 비대칭성)

  • 임승락;김지혜
    • Science of Emotion and Sensibility
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    • v.4 no.2
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    • pp.69-77
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    • 2001
  • Positively biased asymmetry between positive and negative cognition is the basic assumption of heuristic human functioning. This article describes the SOM(states of mind) model for emotional judgement, a psycho-mathematical model built on affective-cognitive assessment research on the balance of positive and negative thoughts and feelings. The SOM model suggests that subjects on the average choose a positive over a negative pole with the probability 0.62 and the precise value of this constant coincides with algebraic “golden section”  .618:.382. Statistical analyses of 32 normal subjects shows that the mean of SOM ratios of self-referent judgement and incidental recall task for positive/negative emotional words are .62(SD=.08) and .58(SD=.4). Also, the SOM ratios are significantly correlated with self-referent judgement for positive/negative emotional words. Implications of cognitive balance and future research directions for emotional science are discussed.

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Analysis of Pre-service Elementary School Teachers' Responses to MKT Applying Task - Focused on Kite (MKT 적용과제에 나타난 초등예비교사의 반응 고찰 - 연꼴을 중심으로)

  • Kwon, Sung-Yong
    • School Mathematics
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    • v.14 no.2
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    • pp.255-274
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    • 2012
  • The purpose of this study was to investigate the responses of pre-service elementary school teachers to the task that require to apply mathematics knowledge for teaching and from this investigation to draw some conclusions about teacher education. To do the study, task was to develop teaching materials and devise lesson plan for introducing the concept of plain figure 'kite'. For gathering data, 77 pre-service elementary school teachers were selected from the University of Education located in G city. Several conclusions were drawn as follow: first, task for applying MKT is needed to check whether pre-service teachers can apply. Second, assessment is needed to check what kind of MKT do pre-service elementary school teachers have.

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A Note on Some Characteristics of Number Teaching in the Primary School of New Zealand (뉴질랜드 초등학교에서의 수지도에서 나타나는 몇 가지 특징에 관한 고찰)

  • Choi, Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.843-863
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    • 2010
  • The basic purpose of 2007 revision curriculum is content of activity oriented, management of differentiated instruction, communication, introduction of story mathematics, mathematical exploration and problem solving ability and so on. In this paper, we investigate some characteristics of number teaching in the primary school of New Zealand. Especially, focused on materials and methods and so on. So we've got the following results. First, there are no fundamental differences in materials and methods in teaching number between Korea and New Zealand but in New Zealand there are no national textbook like us so there is a possibility not to teach number systematically like our Korea. On the contrary, they divide number region from one to six level and are offering achievement objects, suggestive learning experiences, sample assessment activities for each level and also they do not guide activities itself in detail like us and so have learners themselves think about the given problems. Second, there is a strategy stage in getting knowledge about number in New Zealand and so children can take advantage of this steps according to the type of problems. Third, it must be developed some materials and idea to reach the learning purpose rousing interest of children.

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Social aspects of computer based mathematics learning (컴퓨터를 활용한 수학학습에서의 사회적 측면)

  • 류희찬;권성룡
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.263-278
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    • 1999
  • Computer with various powerful functions has profound potential for mathematics instruction and learning. As computer technology progress, its applicability to mathematics education become more comprehensive. Not only its functional development but various psychological positions also changed the way computer technology utilized in mathematics education. In behaviorist's perspective, computer viewed as a teaching machine and constructivist viewed computer as microworld where students could explore various mathematical contents. Both theoretical positions emphasized individual aspect of learning because behaviorist tried to individualize learning using computer and constructivist focused on the process of individual construction. But learning is not only a individual event but also a social event. Therefore we must take social aspect into account. This is especially important when it comes to computer based learning. So far, mathematics loaming with computer weighed individual aspect of loaming. Even in microworld environment, learning should be mediated by teacher and collaborative learning activities. In this aspect, the roles of teacher and peers are very important and socio-cultural perspective sheds light on the computer based learning. In socio-cultural perspective, the idea of scaffold is very important in learning and students gradually internalize the social dimension and scaffolding is gradually faded. And in the zone of proximal development, teacher and more competent peers guide students to formulate their own understanding. In sum, we must take following points into account. First of all, computer should not be viewed as a medium for individualized teaming. That is, interaction with computer should be catalyst for collaborative activities with peers. So, exploration in computer environment has to be followed by small group activities including small group discussion. Secondly, regardless of the role that computer would play, teacher should play a crucial role in computer based learning. This does not mean teacher should direct every steps in learning process. Teacher's intervention should help student construct actively. Thirdly, it is needed to conceptualize computer in learning situation as medium. This would affect learning situation and result in the change of pre-service and in-service teacher training. Computer to be used effectively in mathematics classroom, researches on assessment of computer based learning are needed.

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Assessment of Occupational Dose to the Staff of Interventional Radiology Using Monte Carlo Simulations (몬테카를로 방법을 이용한 중재방사선시술자에 대한 선량평가)

  • Lim, Young-Khi
    • Journal of Radiation Protection and Research
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    • v.39 no.4
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    • pp.213-217
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    • 2014
  • Medical operations and diagnosis using interventional radiology techniques have been increased. The management and monitoring of occupational radiation exposure to the staff of interventional radiology become important, specially because they stand in close proximity to the patient. The operational radiation protection quantity, Hp(10) which can be obtained from personal dosimeter do not always represent the effective dose to the staff. So, in this study, to estimate the critical organ doses to the staff of interventional radiology, Monte Carlo calculations with mathematical human phantom and dose measurements with personal dosimeters were carried out for the major interventional radiology procedures using C-arm. Results showed that the values of Hp(10) measured by personal dosimeters were higher than critical organ doses which were calculated. And the calculated dose to thyroids was much higher than those of other critical organ doses. For the proper radiation protection of the medical staff of interventional radiology, additional radiation protection for thyroids as well as for whole body shielding like wearing a lead apron should be considered.

A Comparative Review of Radiation-induced Cancer Risk Models

  • Lee, Seunghee;Kim, Juyoul;Han, Seokjung
    • Journal of Radiation Protection and Research
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    • v.42 no.2
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    • pp.130-140
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    • 2017
  • Background: With the need for a domestic level 3 probabilistic safety assessment (PSA), it is essential to develop a Korea-specific code. Health effect assessments study radiation-induced impacts; in particular, long-term health effects are evaluated in terms of cancer risk. The objective of this study was to analyze the latest cancer risk models developed by foreign organizations and to compare the methodology of how they were developed. This paper also provides suggestions regarding the development of Korean cancer risk models. Materials and Methods: A review of cancer risk models was carried out targeting the latest models: the NUREG model (1993), the BEIR VII model (2006), the UNSCEAR model (2006), the ICRP 103 model (2007), and the U.S. EPA model (2011). The methodology of how each model was developed is explained, and the cancer sites, dose and dose rate effectiveness factor (DDREF) and mathematical models are also described in the sections presenting differences among the models. Results and Discussion: The NUREG model was developed by assuming that the risk was proportional to the risk coefficient and dose, while the BEIR VII, UNSCEAR, ICRP, and U.S. EPA models were derived from epidemiological data, principally from Japanese atomic bomb survivors. The risk coefficient does not consider individual characteristics, as the values were calculated in terms of population-averaged cancer risk per unit dose. However, the models derived by epidemiological data are a function of sex, exposure age, and attained age of the exposed individual. Moreover, the methodologies can be used to apply the latest epidemiological data. Therefore, methodologies using epidemiological data should be considered first for developing a Korean cancer risk model, and the cancer sites and DDREF should also be determined based on Korea-specific studies.