• Title/Summary/Keyword: 대수영역

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A Comparative Study of Mathematics Textbook Between 2009 Revised Curriculum and IB Diploma Program - The case of high school Algebra - (2009 개정 수학교육과정과 IBDP 수학과 교육과정에서의 교과서 비교 연구 - 고등학교 대수 영역을 중심으로 -)

  • Yang, Hyun Ju;Choa, Jun Soo;Choe, Seung Hyun
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.391-421
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    • 2015
  • The scientific technology developed rapidly and the internet became more popular, also, the world became interactive with one another and the word 'Global' became popular and built a new paradigm. As the development of the society, the ideal criteria for the competent student changed. Consequently, the attention for the globalized education increased. From the points of view of mathematical education, it became a important task to be prepared for international competitiveness for korean talented students. For theses reasons, this article analyzes the characteristics of IBDP and its textbook, which is an international official curriculum and one of the actualizing method for internalization Korean high school curriculum and text book, specifically, focusing on algebra part. Especially, Korean curriculum textbooks and the Mathematical Higher Level textbooks of IBDP was compared and analyzed. As a result, the depth and range of the content, standard level of the question, methods being used to explain the concept, type of questions as well as teaching - learning method were analyzed and in each chapter of the algebra we give meaningful result and proposed discussion.

International Achievement in Mathematics Content Areas Based on TIMSS 2003 (TIMSS 2003의 내용 영역별 수학 성취도 국제 비교)

  • Kim, Sun-Hee;Kim, Kyung-Hee
    • Journal of Educational Research in Mathematics
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    • v.18 no.2
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    • pp.239-261
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    • 2008
  • This study presents results by the content areas in mathematics. Average performance is provided for five content areas: number, algebra, measurement, geometry, and data. Relative achievement is shown among the content areas for 4 countries in comparison to Korea. In number, Korea had lower average achievement than Singapore, especially for ratio proportion percent. Among 5 countries, Korea had the highest average achievement in algebra and geometry, but the lowest in attributes and units of measurement. In data, Korean students didn't learn the followings successfully: a) comparing characteristics of data sets and using mean, median, range, and shape of distribution, b) interpreting data sets (e.g., draw conclusions, make predictions, and estimate values between and beyond given data points), c) evaluating interpretations of data with respect to correctness and completeness of interpretation.

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Letters and Expressions in View of Semiotic (기호학 관점에서의 문자와 식 분석)

  • 김선희;이종희
    • School Mathematics
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    • v.5 no.1
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    • pp.59-76
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    • 2003
  • Algebraic signs are important on learning and problem solving of algebra. This study investigated the contents of letters and expressions in textbooks by syntactics, semantics and pragmatics, and considered the introduction and extension processes of algebraic signs didactically. We also categorized the signs, and looked into textbook problems in view of semiotic. The result is that textbook is constructed in syntactics and semantics. Finally, the assessment of 7th grade students' competence in syntactics, semantics, syntactics+- semantics, pragmatics, and problem solving shows that students' ability in syntactics and pragmatics Is a predictive variable for algebraic problem solving.

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A Scheme for Computing Time-domain Electromagnetic Fields of a Horizontally Layered Earth (수평다층구조에 대한 시간영역 전자기장의 계산법)

  • Jang, Hangilro;Kim, Hee Joon
    • Geophysics and Geophysical Exploration
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    • v.16 no.3
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    • pp.139-144
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    • 2013
  • A computer program has been developed to estimate time-domain electromagnetic (EM) responses for a onedimensional model with multiple source and receiver dipoles that are finite in length. The time-domain solution can be obtained by applying an inverse fast Fourier transform (FFT) to frequency-domain fields for efficiency. Frequency-domain responses are first obtained for 10 logarithmically equidistant frequencies per decade, and then cubic spline interpolated to get the FFT input. In the case of phases, the phase curve must be made to be continuous prior to the spline interpolation. The spline interpolated data are convolved with a source current waveform prior to FFT. In this paper, only a step-off waveform is considered. This time-domain code is verified with an analytic solution and EM responses for a marine hydrocarbon reservoir model. Through these comparisons, we can confirm that the accuracy of the developed program is fairly high.

Excess Pore Pressure Induced by Cone Penetration in OC Clay (콘관입으로 인한 과압밀점토의 과잉간극수압의 분포)

  • Kim, Tai-Jun;Kim, Sang-In;Lee, Woo-Jin
    • Journal of the Korean Geotechnical Society
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    • v.22 no.11
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    • pp.75-87
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    • 2006
  • A series of calibration chamber tests are performed to investigate the spatial distribution of the excess porewater pressure due to piezocone penetration into overconsolidated clays. It was observed that the excess porewater pressure increases monotonically from the piezocone surface to the outer boundary of the shear zone and then decreases logarithmically, approaching zero at the outer boundary of the plastic zone. It was also found that the size of the shear zone decreases from approximately 2.2 to 1.5 times the cone radius with increasing OCR, while the plastic radius is about 11 times the piezocone radius, regardless of the OCR. Based on the modified Cam clay model and the cylindrical cavity expansion theory, the expressions to predict the Initial porewater pressure at the piezocone were developed, considering the effects of the strain rate and stress anisotropy. The method of predicting the spatial distribution of excess porewater pressure proposed in this study was verified by comparing it with the porewater pressure measured in overconsolidated specimens in the calibration chamber.

Research on Teaching of Linear Algebra Focused on the Solution in the System of Linear Equations (선형방정식계의 해법을 중심으로 한 선형대수에서의 교수법 연구)

  • Kang, Sun-Bu;Lee, Yong-Kyun;Cho, Wan-Young
    • School Mathematics
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    • v.12 no.3
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    • pp.323-335
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    • 2010
  • Linear algebra is not only applied comprehensively in the branches of mathematics such as algebra, analytics, and geometry but also utilized for finding solutions in various fields such as aeronautical engineering, electronics, biology, geology, mechanics and etc. Therefore, linear algebra should be easy and comfortable for not only mathematics majors but also for general students as well. However, most find it difficult to learn linear algebra. Why is it so? It is because many studying linear algebra fail to achieve a correct understanding or attain erroneous concepts through misleading knowledge they already have. Such cases cause learning disability and mistakes. This research suggests more effective method of teaching by analyzing difficulty and errors made in learning system of linear equations.

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Domestic Research Trends and Tasks on Early Algebra Education : Focused on the Elementary School Mathematics (국내 초기 대수 교육 연구의 동향과 과제 : 초등 수학을 중심으로)

  • Han, Chaereen;Kwon, Oh Nam
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.2
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    • pp.115-142
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    • 2018
  • This research analyzed domestic researches on early algebra education which are published in six major mathematics education journals in Korea. The purpose of this work is to grasp trends of early algebra education in Korea and to draw up future tasks. From 2000 to 2017, 89 papers which are related to early algebra education published in 6 journals. The 89 papers were categorized by research period, academic journals, research topics, and research subjects. As a result, the number of researches on early algebra education in Korea has increased since 2000. Although early algebra education belongs to the field of elementary mathematics education, lots of papers were published in other math education journals than in the math education journals for elementary school mathematics. Most research focused on proportional reasoning across the algebraic content area. The majority of the research subjects were students, especially upper-grade students of elementary school. Based on the results of this study, some implications for early algebra education in Korea were suggested.

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Removal of Volatile Organic Contaminant(toluene) from Specific Depth in Aquifer Using Selective Surfactant-Enhanced Air Sparging (계면활성제와 폭기를 이용한 대수층의 특정깊이에 존재히는 휘발성 유기오염물질 (톨루엔)의 휘발제거)

  • Song, Young-Su;Kwon, Han-Joon;Yang, Su-Kyeong;Kim, Heon-Ki
    • Economic and Environmental Geology
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    • v.43 no.6
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    • pp.565-571
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    • 2010
  • An innovative application of surfactant-enhanced air sparging(SEAS) technique was developed in this study. Using a laboratory-scale physical model packed with water-saturated sand, air sparging was implemented to remove water-dissolved toluene that was introduced into a specific depth of the system with finite vertical width prior to sparging. An anionic surfactant(Sodium dodecylbenzene sulfonate) was introduced into the contaminated layer as in dissolved form in the toluene-contaminated solution for SEAS, whereas no surfactant was applied in the control experiment. Due to the suppressed surface tension of water in the surfactant(and toluene)-containing region, the toluene removal rate increased significantly compared to those without surfactant. More than 70% of the dissolved toluene was removed from the contaminated layer for SEAS application while less than 20% of toluene was removed for the experiment without surfactant. Air intrusion into the contaminated layer during sparging was found to be more effective than that without surfactant, enhancing air contact with toluene-contaminated water, which resulted in improved volatilization of contaminant. This new method is expected to open a new option for remediation of VOC(volatile organic compound)-contaminated aquifer.