• Journal of Elementary Mathematics Education in Korea
• /
• v.16 no.1
• /
• pp.125-143
• /
• 2012

This study is designed to see the characteristics of elementary students' arithmetic error patterns and error rates by going up grades and to draw some implications for effective instruction. For this, 580 elementary students of grade 3-6 are tested with the same subtraction, multiplication and division problems. Their errors are analyzed by the frame of arithmetic error types this study sets. As a result of analysis, it turns out that the children's performance in arithmetic get well as their grades go up and the first learning year of any kind of arithmetic procedures has the largest improvement in arithmetic performance. It is concluded that some arithmetic errors need teachers' caution, but we fortunately find that children's errors are not so seriously systematic and sticky that they can be easily corrected by proper intervention. Finally, several instructional strategies for arithmetic procedures are suggested.

• The Journal of Korea Institute of Information, Electronics, and Communication Technology
• /
• v.13 no.6
• /
• pp.503-510
• /
• 2020

In this paper, we proposed an effective technique that greatly improves the security of the watermark by concealing the multiple-encrypted watermark in the LSB of the image pixel. Even if multiple encrypted watermark hidden in the LSBs of an image pixel are extracted, it is impossible to decrypt them, so the security of the watermark is maintained very high. If the watermark is multiple encrypted and hidden in the image using the proposed technique, the visual quality of the watermark-hidden image is very high, making it impossible to distinguish between the original image and the resulting image in which the watermark is hidden. The original watermark data can be completely extracted without loss, according to the procedure of the proposed technique, from the resulting image that the watermark is encrypted and hidden in the original image. The performance of the proposed technique was analyzed mathematically and the superiority of the proposed technique was confirmed through experiments. The proposed technique is an excellent image watermarking technique that greatly improves the security of the watermark hidden in the image compared to the existing technique.

• Education of Primary School Mathematics
• /
• v.26 no.3
• /
• pp.181-197
• /
• 2023

The importance of reasoning processes based on fractional concepts and number senses, rather than a formalized procedural method using common denominators, has been noted in a number of studies in relation to compare the magnitudes of unlike fractions. In this study, a unlike fraction magnitudes comparison test was conducted on fourth-grade elementary school students who did not learn equivalent fractions and common denominators to analyze the reasoning perspectives of the correct and wrong answers for each of the eight problem types. As a result of the analysis, even students before learning equivalent fractions and reduction to common denominators were able to compare the unlike fractions through reasoning based on fractional sense. The perspective chosen by the most students for the comparison of the magnitudes of unlike fractions is the 'part-whole perspective', which shows that reasoning when comparing the magnitudes of fractions depends heavily on the concept of fractions itself. In addition, it was found that students who lack a conceptual understanding of fractions led to difficulties in having quantitative sense of fraction, making it difficult to compare and infer the magnitudes of unlike fractions. Based on the results of the study, some didactical implications were derived for reasoning guidance based on the concept of fractions and the sense of numbers without reduction to common denominators when comparing the magnitudes of unlike fraction.

• The Journal of the Convergence on Culture Technology
• /
• v.10 no.4
• /
• pp.285-294
• /
• 2024

This study aims to enhance learners' creative and integrative thinking through the use of a practical music education program, facilitating high-quality artistic activities and the integration of various disciplines. To achieve this, a practical music education program incorporating the PDIE model was designed, and the content validity of the developed program was verified. Through this process, We have researched and described methodologies for multidisciplinary research that can be applied in practical music education. This paper focuses on the fourth session of the study, which deals with the creative and integrative education of practical music and mathematics. The mathematical theory of interest in this research is the Fibonacci sequence, fundamental to the golden ratio in art. The goal is to enable balanced and high-quality creative activities through learning and applying the Fibonacci sequence. Additionally, to verify the validity and effectiveness of the instructional plan, including the one used in the 15-week course, we have detailed the participants involved in the content validation, the procedures of the research, the research tools used, and the methods for collecting and analyzing various data. Through this, We have confirmed the potential of creative and integrative education in higher practical music education and sought to develop educational methodologies for cultivating various creative talents in subsequent research.

• Journal of the Korea Concrete Institute
• /
• v.17 no.4 s.88
• /
• pp.521-526
• /
• 2005

Prestressing tendons in a nuclear containment building dome are non-axisymmetrically arranged in most cases. However, simple axisymmetric modeling of the containment has been often employed in practice to estimate structural behavior for the axisymmetric loadings such as an internal pressure. In this case, the axisymmetric approximation is required for the actual tendon arrangements in the dome. Some procedures are proposed that can implement the actual 3-dimensional tendon stiffness and prestressing effect into the axisymmetric model. Prestressing tendons, which are arranged in 3 or 2-ways depending on a containment type, are converted into an equivalent layer to consider the stiffness contribution in meridional and hoop directions. In order to reflect the prestressing effect, equivalent load method and initial stress method are devised and the corresponding loads or stresses are derived in terms of the axisymmetric model. In a companion paper, the proposed schemes are applied into CANDU and KSNP(Korean Standard Nuclear Power Plant) type containments and are verified through some numerical examples comparing the analysis results with those of the actual 3-dimensional model.

• Transactions of the Korean Society of Mechanical Engineers A
• /
• v.36 no.8
• /
• pp.873-879
• /
• 2012

Metamodels have been developed with a variety of design optimization techniques in the field of structural engineering over the last decade because they are efficient, show excellent prediction performance, and provide easy interconnections into design frameworks. To construct a metamodel, a sequential procedure involving steps such as the design of experiments, metamodeling techniques, and validation techniques is performed. Because validation techniques can measure the accuracy of the metamodel, the number of presampled points for an accurate kriging metamodel is decided by the validation technique in the sequential kriging metamodel. Because the interpolation model such as the kriging metamodel based on computer experiments passes through responses at presampled points, additional analyses or reconstructions of the metamodels are required to measure the accuracy of the metamodel if existing validation techniques are applied. In this study, we suggest a sensitivity validation that does not require additional analyses or reconstructions of the metamodels. Fourteen two-dimensional mathematical problems and an engineering problem are illustrated to show the feasibility of the suggested method.

• Journal of Digital Convergence
• /
• v.17 no.8
• /
• pp.71-80
• /
• 2019

It is very important to have pre-service teachers enhance actual content development skill for STEAM classes through deep understanding of the concept. Thus the purpose of the study is to explore the educational methodology for improving pre-service teachers' competence of designing STEAM classes. The research performed with 17 pre-service teachers from Y university and 15 from S university in 2015. It includes blended learning methodology mixing online and offline classes. The result revealed that the students' perception on and the materialization skill of the STEAM education was improved by the methods of Lesson Study and blended learning. A positive result also came out in the respect of the perception on teaching with technology.

• Proceedings of the Korea Information Processing Society Conference
• /
• 2003.11a
• /
• pp.65-68
• /
• 2003

본 논문에서는 가장 최근의 동영상 표준인 H.264에서 가변 블록 움직임 예측 시 인접한 블록과의 상관성을 분석하여 병합 절차를 추가함으로써 매크로블록의 최종 모드를 결정하는 시간을 줄이기 위한 알고리즘을 제안한다. H.264에서는 매크로블록의 모드를 결정하기 위하여 총 7가지 모드를 사용하여 움직임 예측은 실시함으로써 부호화 효율을 극대화시킨 반면 이러한 움직임 예측이 부호화기의 복잡도를 높이는 주요 요인으로 현재 커다란 단점으로 지적되고 있다. 본 논문에서는 $8{\times}8$ 움직임 예측이 끝난 후 인접한 두 블록 사이의 거리론 임계값(Threshold)과 비교하여 다음 모드의 움직임 예측의 실시 여부를 먼저 절정함으로써 필요한 움직임 예측에 소비되는 시간을 단축시켰다. 여기서 실험 조건으로 명시하고 있는 것은 대표적인 단일모드 중에서 수행 성능이 가장 좋은 $8{\times}8$ 모드를 기본모드로 사용하고 병합 시 $16{\times}16$ 모드 쪽으로 상향식(bottom-up) 방법의 병합을 수행해 나아간다 모의실험을 통해 수행 성능과 전체 부호화 시간 측면을 본 논문에서 제안한 방법과 4가지 모드인 $16{\times}16,\;16{\times}8,\;8{\times}16,\;8{\times}8$ 모드를 모두 사용한 경우, $8{\times}8$ 단일모드를 사용한 경우를 비교하였다. 실험 결과 $8{\times}8$ 단일모드보다 수행 성능이 향상되었으며, 시간 단축 면에서 제안한 방법이 4가지 모드인 $16{\times}16,\;16{\times}8,\;8{\times}16,\;8{\times}8$ 모드를 모두 사용한 경우와 $8{\times}8$ 단일모드를 사용한 경우보다 계산 시간이 감소하였음을 확인하였다.행중인 MoIM-Messge서버의 네트워크 모듈로 다중 쓰레드 소켓폴링 모델을 적용하였다.n rate compared with conventional face recognition algorithms. 아니라 실내에서도 발생하고 있었다. 정량한 8개 화합물 각각과 총 휘발성 유기화합물의 스피어만 상관계수는 벤젠을 제외하고는 모두 유의하였다. 이중 톨루엔과 크실렌은 총 휘발성 유기화합물과 좋은 상관성 (톨루엔 0.76, 크실렌, 0.87)을 나타내었다. 이 연구는 톨루엔과 크실렌이 총 휘발성 유기화합물의 좋은 지표를 사용될 있고, 톨루엔, 에틸벤젠, 크실렌 등 많은 휘발성 유기화합물의 발생원은 실외뿐 아니라 실내에도 있음을 나타내고 있다.>10)의 $[^{18}F]F_2$를 얻었다. 결론: $^{18}O(p,n)^{18}F$ 핵반응을 이용하여 친전자성 방사성동위원소 $[^{18}F]F_2$를 생산하였다. 표적 챔버는 알루미늄으로 제작하였으며 본 연구에서 연구된 $[^{18}F]F_2$가스는 친핵성 치환반응으로 방사성동위원소를 도입하기 어려운 다양한 방사성의 약품개발에 유용하게 이용될 수 있을 것이다.었으나 움직임 보정 후 영상을 이용하여 비교한 경우, 결합능 변화가 선조체 영역에서 국한되어 나타나며 그 유의성이 움직임 보정 전에 비하여 낮음을 알 수 있었다. 결론: 뇌활성화 과제 수행시에 동반되는 피험자의 머리 움직임에 의하여 도파민 유리가 과대평가되었으며 이는 이 연구에서 제안한 영상정합을 이용한 움직임 보정기법에 의해서 개선되었다. 답이 없는 문제, 문제 만들기, 일반화가 가능한 문제 등으로 보고, 수학적 창의성 중 특히 확산적 사고에 초점을 맞추어 개방형 문제가 확산적 사고의 요소인 유창성, 독창성, 유연성 등에 각각 어떤 영향을 미치는지 20주의 프로그램을 개발, 진행하여 그 효과를 검증하고자 한다. 개방형 문

• The Journal of the Korea Contents Association
• /
• v.14 no.12
• /
• pp.1083-1099
• /
• 2014

The purpose of this study is to analyze that The arithmetic and algebraic word problem solving skill, strategy preference, and assessment ability of elementary preservice teachers is investigated using a statistical methodology. The research findings are as follows. First, elementary preservice teachers demonstrated logical and delicate problem solving behaviors in arithmetic and algebraic word problem solving. And elementary preservice teachers prefer to create a formula and table strategy in problem solving of the arithmetic question. Second, there was meaningful difference in the math and english elementary preservice teachers' appreciations with significant level of 0.05. And there was not meaningful difference in the 1 and 4 grade elementary preservice teachers' appreciations with significant level of ${\alpha}=0.05$. Results of the study suggest that teachers education course need to improve elementary preservice teachers' word problem solving skill, strategy preference, and assessment ability in the arithmetic and algebraic.

• Journal of the Earthquake Engineering Society of Korea
• /
• v.3 no.3
• /
• pp.63-74
• /
• 1999

A sliding mode fuzzy control (SMFC) algorithm is presented for vibration of large structures. Rule-base of the fuzzy inference engine is constructed based on the sliding mode control, which is one of the nonlinear control algorithms. Fuzziness of the controller makes the control system robust against the uncertainties in the system parameters and the input excitation. Non-linearity of the control rule makes the controller more effective than linear controllers. Design procedure based on the present fuzzy control is more convenient than those of the conventional algorithms based on complex mathematical analysis, such as linear quadratic regulator and sliding mode control(SMC). Robustness of presented controller is illustrated by examining the loop transfer function. For verification of the present algorithm, a numerical study is carried out on the benchmark problem initiated by the ASCE Committee on Structural Control. To achieve a high level of realism, various aspects are considered such as actuator-structure interaction, modeling error, sensor noise, actuator time delay, precision of the A/D and D/A converters, magnitude of control force, and order of control model. Performance of the SMFC is examined in comparison with those of other control algorithms such as $H_{mixed 2/{\infty}}$ optimal polynomial control, neural networks control, and SMC, which were reported by other researchers. The results indicate that the present SMFC is an efficient and attractive control method, since the vibration responses of the structure can be reduced very effectively and the design procedure is simple and convenient.