• 제목/요약/키워드: Mathematical Activity

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뉴질랜드의 교사교육 프로그램과 수학교사교육 (Teacher Education Program and Mathematics Teacher Education in New Zealand)

  • 최창우
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권3호
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    • pp.287-298
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    • 2010
  • The purpose of teacher education can be accepted in various meanings but it is not too much to say that the ultimate purpose is focused on training teachers to teach instruction in school effectively. The purpose of this article consists in giving some suggestive points to the primary teacher education of our country by introducing education system, teacher education programs, real cases of teacher education in new zealand to the readers. To do this, I took part in four classes and observed the ones, interviewed some students and collected the materials of products of activity during one year and also videotaped for analysis in the case of needed and so we have reached the following conclusions. First, we have found that the teacher education program, practicum, management of class and assessment system of new zealand college of education are quite different with our primary teacher education systems and also various courses are established. Second, the teacher education in new zealand is focused on how they compose the environment of learning related to the context of one. Third, we have to think seriously how we can teach our students interestingly in our classroom. Finally, the global trend of instruction in new zealand teacher education is oriented to learner and so I felt that daily class itself is the one to cultivate creativity of learner.

무리함수의 가역성에 대한 학생들의 오개념 분석 (An Analysis On Students' Misconceptions of the Reversibility of Irrational Functions)

  • 이기석;이두호
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제24권3호
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    • pp.709-730
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    • 2010
  • 본 연구에서 함수를 어려워하는 원인이 함수의 가역성에 기인하는지 살펴보고자 가역적 사고가 요구되는 무리함수의 개념과 가역성을 분석하였다. 함수와 관련하여 저학년에서 형성된 개념이 불균형 상태로 고착화되어 있다. 하위권 학생들의 시각화, 기호 이해, 특히 가역적 사고 능력이 부족하여 오류 현상을 보이고 있다. 저학년부터 생활 주변의 가역적인 사고를 요하는 내용을 다루지만, 학생들은 가역성이 내포된 함수 내용을 어려운 대상으로만 간주하고 인지 구조의 조절 과정을 의도적으로 회피하거나, 인출하여도 연결성이 부족하고 부정확한 개념으로 응답하고, 특히 가역성이 내포된 문제에 대하여 반응율과 정답율이 낮으며 다양한 오류 현상이 나타났다.

The impacts of teacher education on students' academic achievement and satisfaction in mathematics lessons

  • Suh, Heejoo;Bae, Yunhee;Lee, Ji Su;Han, Sunyoung
    • 한국수학교육학회지시리즈A:수학교육
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    • 제57권4호
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    • pp.393-412
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    • 2018
  • Teacher quality is a key factor that determines quality of education. Being aware of this, the Korean government and teachers have been striving to improve teachers' professionalism. Research about the impacts of efforts to enhance teacher professionalism on students' academic achievement and course satisfaction, however, is extremely limited. This study sought to advance our understanding of the relationship between these factors by analyzing what teacher characteristics impact students' achievement and satisfaction. To this end, the study drew on the middle and high school data from 3rd to 6th year survey of the Seoul Educational Longitudinal Study. Structural equational modeling were used as the main approach. Latent profile analysis, a kind of mixture modeling analysis, were used as needed. This study found that teachers' participation in instruction enhancement activity and professional development impact students' attitude toward mathematics lessons and their perception on class atmosphere, and ultimately impact their academic achievement as well as their overall satisfaction in the course. In addition, teachers' use of EBS textbooks and videos impact 3rd grade high schoolers' academic achievement. These findings suggest that effort to improve teacher professionalism positively impact students' academic achievement and course satisfaction, although there is a difference according to the year grade. This study provides implications for education policy makers and teacher educators.

프랙털 도형과 카오스 게임 탐구 (A Study on the Fractal and Chaos Game)

  • 김수환;윤준서;조민준
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제33권2호
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    • pp.67-84
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    • 2019
  • 본 논문은 창의적 교육용 웹 기반 OKMINDMAP을 활용하여 중3학생 2명을 연구대상자로 선정하여 2018년 3월부터 12월까지 100시간의 수업과 여름방학의 2박3일 집중캠프를 통한 집중탐구활동의 결과물이다. 교사는 조력자로 연구문제는 학생 2명이 스스로 선정하였으며 다양한 프랙털 도형에 관한 차원을 생성함수를 변형하여 조사하였으며, 변형 시어핀스키 삼각형에서도 카오스게임이 가능함을 보인 연구물이다.

Algorithm for Computational Age Dating of Nuclear Material for Nuclear Forensic Purposes

  • Park, Jaechan;Song, Jungho;Ju, Minsu;Chung, Jinyoung;Jeon, Taehoon;Kang, Changwoo;Woo, Seung Min
    • 방사성폐기물학회지
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    • 제20권2호
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    • pp.171-183
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    • 2022
  • The parent and daughter nuclides in a radioactive decay chain arrive at secular equilibrium once they have a large half-life difference. The characteristics of this equilibrium state can be used to estimate the production time of nuclear materials. In this study, a mathematical model and algorithm that can be applied to radio-chronometry using the radioactive equilibrium relationship were investigated, reviewed, and implemented. A Bateman equation that can analyze the decay of radioactive materials over time was used for the mathematical model. To obtain a differential-based solution of the Bateman equation, an algebraic numerical solution approach and two different matrix exponential functions (Moral and Levy) were implemented. The obtained result was compared with those of commonly used algorithms, such as the Chebyshev rational approximation method and WISE Uranium. The experimental analysis confirmed the similarity of the results. However, the Moral method led to an increasing calculation uncertainty once there was a branching decay, so this aspect must be improved. The time period corresponding to the production of nuclear materials or nuclear activity can be estimated using the proposed algorithm when uranium or its daughter nuclides are included in the target materials for nuclear forensics.

Measurement of missing video frames in NPP control room monitoring system using Kalman filter

  • Mrityunjay Chaubey;Lalit Kumar Singh;Manjari Gupta
    • Nuclear Engineering and Technology
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    • 제55권1호
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    • pp.37-44
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    • 2023
  • Using the Kalman filtering technique, we propose a novel method for estimating the missing video frames to monitor the activities inside the control room of a nuclear power plant (NPP). The purpose of this study is to reinforce the existing security and safety procedures in the control room of an NPP. The NPP control room serves as the nervous system of the plant, with instrumentation and control systems used to monitor and control critical plant parameters. Because the safety and security of the NPP control room are critical, it must be monitored closely by security cameras in order to assess and reduce the onset of any incidents and accidents that could adversely impact the safety of the NPP. However, for a variety of technical and administrative reasons, continuous monitoring may be interrupted. Because of the interruption, one or more frames of the video may be distorted or missing, making it difficult to identify the activity during this time period. This could endanger overall safety. The demonstrated Kalman filter model estimates the value of the missing frame pixel-by-pixel using information from the frame that occurred in the video sequence before it and the frame that will occur in the video sequence after it. The results of the experiment provide evidence of the effectiveness of the algorithm.

대학에서의 블렌디드 수업에 관한 소고 -수업 선호도를 중심으로- (The Understanding of the blended instruction in the College focused on the preference to the type of blended instruction)

  • 황혜정
    • East Asian mathematical journal
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    • 제39권4호
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    • pp.455-478
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    • 2023
  • Expectations and interests in blended learning are increasing as universities respond to the educational flow of transition to e-lernring. This study tried to explore and understand the meaning of and the properties of blended instruction. In addition, through the literature review, this study was to find out how bleanded learning affected in teaching and learning situation. Particularly, it was to find out students' preference to the type of blended instruction. Those types are the mixed of or the unique of class instruction(off line), on line, and recorded instruction. To investigate learners' preference to the type of the instruction and also the reason of the preference, in this study, the 27 undergraduate students of the fourth grade in the major of mathematics education in the C university located in G area. By the result, most students preferred the mixed type of instruction involving off line and recorded instruction. The reason is that they could attend to the class while participating in the group activity positively and understand the content through the communication in depth and the instructor's feedback. Because of this reason, they did not prefer to the only one type insturction such as the recorded type.

플라스틱 필름 포장 김의 품질 변화 simulation과 shelf-life 예측 (Simulation of Quality Changes and Prediction of Shelf-life in Dried Laver Packaged with Plastic Films)

  • 고하영;박형우;강통삼;권용주
    • 한국식품과학회지
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    • 제19권6호
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    • pp.463-470
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    • 1987
  • 건조 식품의 적절한 포장 기법을 확립하고 포장된 제품의 품질 변화를 신속하게 예측할 수 있는 방법을 개발하고자 건조 김을 모델 식품으로 하여 저장 온 습도 조건 및 포장재별로 수분활성도 및 품질 지표 물질로서 chlorophyll a의 변화를 simulation하고 shelf-life를 예측하였다. 수분활성도와 chlorophyll a의 반응 상수 사이의 수학적인 변화 모델을 $10^{\circ}C,\;25^{\circ}C$$40^{\circ}C$에서 설정하였다. 수분 함량. 저장 온 습도 및 포장재와 같은 저장 조건의 영향을 동시에 고려하여 제품의 수분활성도 및 품질 지표 물질인 chlorophyll a의 변화를 예측할 수 있는 컴퓨터 simulation 방법이 개발되었다. simulation에 의해 예측된 품질 변화는 실측치와 잘 일치하였다. 수분활성도가 증가함에 따라 기호도 및 chlorophyll a는 감소하였으며, 기호도와 chlorophyll a와의 상관관계도 매우 높아 상관계수는 0.991이었다. 관능검사에 의해 측정된 저장 임계 수분활성도는 약 0.55이었다. 여러 저장 조건에서 플라스틱 필름 포장된 건조 김의 shelf-life를 예측할 수 있었다.

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큰 수의 법칙 시뮬레이션에서 중학생의 안구 운동 분석 (An Analysis of Middle School Student's Eye Movements in the Law of Large Numbers Simulation Activity)

  • 최인용;조한혁
    • 한국수학교육학회지시리즈A:수학교육
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    • 제56권3호
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    • pp.281-300
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    • 2017
  • This study analyzed the difficulties of middle school students in computer simulation of the law of large numbers through eye movement analysis. Some students did not attend to the simulation results and could not make meaningful inferences. It is observed that students keep the existing concept even though they observe the simulation results which are inconsistent with the misconceptions they have. Since probabilistic intuition influence student's thinking very strongly, it is necessary to design a task that allows students to clearly recognize the difference between their erroneous intuitions and simulation results. In addition, we could confirm through eye movements analysis that students could not make meaningful observations and inferences if too much reasoning was needed even though the simulation included a rich context. It is necessary to use visual representations such as graphs to provide immediate feedback to students, to encourage students to attend to the results in a certain intentional way to discover the underlying mathematical structure rather than simply presenting experimental data. Some students focused their attention on the visually salient feature of the experimental results and have made incorrect conclusion. The simulation should be designed so that the patterns of the experimental results that the student must discover are not visually distorted and allow the students to perform a sufficient number of simulations. Based on the results of this study, we suggested that cumulative relative frequency graph showing multiple results at the same time, and the term 'generally tends to get closer' should be used in learning of the law of large numbers. In addition, it was confirmed that eye-tracking method is a useful tool for analyzing interaction in technology-based probabilistic learning.

초등학교 저학년 수학부진아의 수세기 능력 연구 (A Study of Counting Ability of Mathematical Low Achievers in Low Grades of Elementary School)

  • 김수미
    • 대한수학교육학회지:학교수학
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    • 제12권2호
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    • pp.137-150
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    • 2010
  • 이 연구는 초등학교 저학년 수학부진아들의 수세기 능력을 조사하고, 이를 토대로 수학부진아 지도를 위한 시사점을 도출하고자 하였다. 이를 위해 초등학교 2학년 수학부진아 4명을 실험군으로 하고, 4학년 수학부진아 4명과 2학년 일반 학생 2명을 비교군으로 하여, 일대일 면담을 실시하였다. 학생들의 수세기 능력은 정확성, 속도, 효율성의 세 가지 관점에서 분석되었으며, 연구 결과는 다음과 같다. 첫째, 저학년 수학부진아들의 수세기 능력은 매우 낮았으며, 사소한 실수나 체계적인 오류, 더딘 수행, 비효율적인 전략 구사 등의 문제점을 드러냈다. 둘째, 학년 상승과 더불어 수세기의 속도는 어느 정도 개선되지만, 수세기의 정확성이나 효율성은 크게 개선되지 않았다. 셋째, 수세기 능력과 연산 과제 수행 능력 간의 명확한 상관관계는 도출하지 못했지만 개연성이 있음은 확인하였다. 이상의 연구 결과를 통해, 저학년 수학부진아들에게 수세기 활동을 좀 더 강조해서 지도해야할 필요성이 있음을 이끌어 내었다.

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