• Title/Summary/Keyword: mathematical concepts

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Development of Computational Thinking-based Educational Program for SW Education (초등 SW교육을 위한 CT교육 프로그램 개발)

  • Ryu, Miyoung;Han, Seonkwan
    • Journal of The Korean Association of Information Education
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    • v.19 no.1
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    • pp.11-20
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    • 2015
  • The researches on the concept of justice and utilization for Computational Thinking with SW education are being actively discussed. However, a program has developed in conjunction with the actual elementary curriculum is not much. In this study, we have developed an educational program in applied mathematics based on CT. First, a separated view for a CT Application of mathematical concepts and objectives are set in three different application models. In order to achieve the CT-based math lessons, we also have developed a teaching and learning materials. We applied the developed materials in class, and to evaluate the satisfaction of learners. In addition to the validation of school application, we conducted a survey of professionals and teachers. The results of the analysis, the data showed that are helpful in the development of the student' CT ability as well as the ability to be helpful teaching and learning in school.

An Analysis of Difficulties of Teachers and Students in Class on Weight (무게 단원 수업에서 겪는 교사와 학생의 어려움 분석)

  • Park, Joonhyeong;Jhun, Youngseok
    • Journal of The Korean Association For Science Education
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    • v.34 no.3
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    • pp.295-301
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    • 2014
  • The purpose of this study is to investigate the difficulties of teachers and students on the unit about 'measuring weight.' In this research, we have acquired data about teachers through survey, interview, and self-reflection journals, at the same time we have collected information on the students through survey, assessment test, and interview. We have extracted the difficulties from analysis with constant comparison method. In addition, we have analysed the curriculum of science and mathematics to know the leaning sequence. The analysis had been checked up by experts in science education. The result of the study is as follows: The difficulties of teachers are from the lack of teachers' descriptive knowledge, disorder of conceptual hierarchy in the curriculum, poor experimental instruments, and low psychomotor skill of students. The difficulties of students are from common misconceptions, opaque concepts, lack of manipulation skill, insufficiency of mathematical ability, difficulty of application of principles to the real situation, and lack of problem-solving ability. In addition, teachers have recognized that students face more difficulties in experiment class, while students think that they face more difficulties in conceptual understanding class.

Development of the EGS4 Control Code to Calculate the Dose Distributions in a Strong Magnetic Field (자기장이 인가된 물팬텀 속의 전자선 선량분포 계산을 위한 EGS4 제어코드의 개발과 응용)

  • 정동혁;오영기;신교철;김진기;김기환;김정기;이강규;문성록;김성규
    • Progress in Medical Physics
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    • v.14 no.1
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    • pp.1-7
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    • 2003
  • In this work we developed a EGS4 control code to calculate the dose distributions for high energy electron beams in water phantom applied longitudinal magnetic field. We reviewed the electron's motion in magnetic field and delivered equations for direction changs of the electron by the external magnetic field. The mathematical results are inserted into the EGS4 code system to account for the presence of external magnetic fields in phantom. The electron pencil beam paths of 6 MeV in water phantom are calculated for magnetic fields of 1-3 T and the dose distributions for a field of 1.0 cm in diameter are calculated for magnetic fields of 0.6-1 T using the code. From the results of path calculations we found that the lateral ranges of the electrons are reduced in the magnetic field of 3 T. For a field of 1 cm diameter and a magnetic field of 1 T, the small dose enhancement near the range of the electrons on the depth dose and the penumbra reduction of 0.15 cm on the beam profile are observed. We discussed and evaluated the results from the theoretical concepts.

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The Case Study of PBL Application for Improving Teaching Method for Teaching Misconception of Middle & High School Students in Teacher Education (예비수학교사교육에서 중고등학교 학생의 오개념 지도 방안 활성화를 위한 PBL 적용 사례 연구)

  • Lee, Dong-Myung;Ko, Ho-Kyoung;Jang, Yun-Young
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.69-88
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    • 2010
  • This paper is the case study how we can apply the appropriate teaching method in order to correct the misconception of middle and high school students in preservice teachers' education. Through the review of previous research and literature, we categorized students' misconception and sought the teaching method to teach preservice teachers. During this process, we did according to PBL and preservice teachers also tried to find the teaching method for students. And thus we were able to suggest the appropriate teaching method which was effective in correcting the misconception of middle & high school students along with their fine understanding of mathematical concepts. Further, preservice teachers acknowledged cooperative teaching & learning and the importance of it as well as the self-directed teaching and learning.

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Empirical modeling and statistical analysis of the adsorption of reactive dye on nylon fibers (나일론섬유에 대한 반응성 염료 흡착의 실험적 모델링 및 통계적 분석)

  • Kim, Byung-Soon;Ravikumar, K.;Son, Young-A
    • Textile Coloration and Finishing
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    • v.18 no.4
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    • pp.43-48
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    • 2006
  • A phthalocyanine reactive dye was applied to nylon fibers to study the effects of the temperature and pH on % exhaustion and fixation. In addition, appropriate predictable empirical models, relatively new approaches in dyeing process, were developed incorporating interactions effects of temperature and pH for predicting the both % exhaustion and fixation. The significance of the mathematical model developed was ascertained using Excel regression (solver) analysis module. A very high correlation coefficient was obtained ($R^2=0.9895$ for % exhaustion, $R^2=0.9932$ for fixation) for the model which shows prominent prediction capacity of the model for the unknown conditions. The predictable polynomial equations developed from the Experimental results were thoroughly analyzed by ANOVA (Analysis of Variance) statistical concepts.

Utilization Plan of primary 3-4 grade mathematics textbooks for 'Flipped Classroom' (수학과 '거꾸로 교실' 수업을 위한 교과서 활용 방안 탐색 - 초등학교 3-4학년 군을 중심으로)

  • Kim, Soo Cheol
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.265-276
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    • 2014
  • In this study, we aim to search the utilization plan of primary 3-4 mathematics textbooks for 'Flipped Classroom' practice. In the flipped classroom, students are required to manipulate more rigorous concepts, deal with realistic problems and various activities, and discussions. Researcher analyzed the new mathematics textbooks of primary 3-4 grade that is applied 2014. The criteria of analysis was made of the instructional model for 'Flipped Classroom' that was set up by previous researcher. To practice the flipped classroom, teachers need to design their classes carefully for using selectively many materials of the textbooks to make students participate discussion in the classroom actively and to consider their interests and levels.

Korean and Hong Kong Student Teachers' Content Knowledge for Teaching Mathematics (한국과 홍콩 예비교사의 학교수학에 대한 이해 분석 연구)

  • Park, Kyung-Mee
    • Journal of Educational Research in Mathematics
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    • v.19 no.3
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    • pp.409-423
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    • 2009
  • The purpose of this study is to probe into student teachers' understanding of mathematics content knowledge and to identify the features of knowledge which is required to be emphasized in the elementary teacher education. For this, student teachers attending teacher preparation courses in Korea and Hong Kong were interviewed on tasks encompassing the 'what', 'why' and 'how' aspects of elementary mathematics. It was found that for the student teachers in the sample, their understanding of the concepts behind elementary mathematical topics was not very thorough. They were unable to retrieve the advanced mathematics that they learned in their advanced mathematics courses. It is suggested that for student teachers in mathematics, it is essential that the advanced mathematics they learn be explicitly related to the elementary mathematics they have learned in school.

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Activity-Theoretical Analysis on the Relation of Small Group Activity on Gifted Elementary Student's Concept Formation of Prime and Composite Numbers (소집단 활동체계와 초등영재의 소수와 합성수 개념 형성 사이의 관계 분석)

  • Kang, Young Ran;Kim, Jin Hwan
    • School Mathematics
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    • v.16 no.3
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    • pp.613-631
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    • 2014
  • The aim of this study was to investigate how the small group activity system influences individual to form concepts of prime number and composite number through activity theory on learning process of mathematically gifted 5th-grade students. Student's worksheets, recorded video, and interview were gathered and transcribed for analyzing data. Process of concept formation and using symbol behavior were used to derive the stage of mathematical concept from students, and the activity system and stage of concept formation process were schematized through analysis of whole class activity system and small group activity system based on activity theory. According to the results of this study, two students who were in different activity groups separated into the state of semi-concept and the stage of complex thinking respectively, and therefore, social context and the activity system had effects on process of concept formation among the students.

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An Analysis of Effective on Using Calculators in Elementary Mathematics (초등수학에서 계산기 활용에 대한 효과 분석)

  • Ahn Byoung Gon
    • School Mathematics
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    • v.7 no.1
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    • pp.17-32
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    • 2005
  • The purpose of this study is to analyze the effects of calculator use, which is drawing more attention in elementary mathematics, on students' learning of mathematics and to suggest effective ways of using calculators. The present study examined appropriate items commonly used in other papers in the areas of number sense and concepts, problem solving, pattern exploration and reasoning ability. The process of item selection about calculator use were investigated through preservice elementary school teachers' responses to the Questionnaire. The use of calculators In elementary school should be based on teachers' under-standing about why calculators are useful tools for learning mathematics. For more effective use of calculators, more sophisticated experimental studies need to be conducted about selected questions.

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A Study on the Linear Function using Graphing Calculator and CBL - A Case Study Focused on Mathematics Education for the Gifted - (그래핑 계산기와 CBL을 활용한 1차 함수 탐구 - 초등 영재아를 중심으로 한 사례연구 -)

  • Lee, Heon-Soo;Park, Jong-Youll;Lee, Kwang-Ho
    • Journal of the Korean School Mathematics Society
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    • v.12 no.3
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    • pp.347-364
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    • 2009
  • In this paper, the researchers investigated the influence of graphing calculator in learning the concept of linear function for the gifted students. Elementary students who were taking a course in enrichment mathematics at Science Education Institute for the Gifted in Mokpo National University were selected for this study. The researchers analyzed students' processes of mathematical inference and conjecture, and students' algebraic description. We found the facts that the visualization using a graphing calculator and CBL is helpful to the gifted students in understanding concepts of liner function, finding the relationship between variables, analyzing and presupposing of graph. But, using graphing calculator can be a factor that disturbs learning of students who have too much of curiosity on graphing calculator.

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