• Title/Summary/Keyword: Mathematical Book

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<구장산술九章算術>과 남병길의 <구장술해九章術解>의 교육적 활용 방안 (Pedagogical Approach of the Nine Chapters on the Mathematical Art and Nam Byung Gil's GuJangSulHae)

  • 정해남
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제14권2호
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    • pp.103-116
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    • 2011
  • 동아시아 수학사에서 가장 중요하고 기초적인 문헌은 <구장산술九章算術>이다. 이 책은 오랜 세월 동안 여러 주석가들에 의해 보완되고 재해석되며 광범위한 영향력을 미쳤다. 우리나라 역시 이 영향권 안에서 삼국시대 이래로 <구장산술>을 기본 산학서로 취급해 왔고 19세기 조선 수학자 남병길은 이 책에 대한 주석서 <구장술해九章術解>를 출판했다. 본 연구에서는 이 두 책의 구성과 내용을 확인하고 그것의 교육적 활용 가능성에 대해 모색해본다.

ON THE INCREMENTS OF A d-DIMENSIONAL GAUSSIAN PROCESS

  • LIN ZHENGYAN;HWANG KYO-SHIN
    • 대한수학회지
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    • 제42권6호
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    • pp.1215-1230
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    • 2005
  • In this paper we establish some results on the increments of a d-dimensional Gaussian process with the usual Euclidean norm. In particular we obtain the law of iterated logarithm and the Book-Shore type theorem for the increments of ad-dimensional Gaussian process, via estimating upper bounds and lower bounds of large deviation probabilities on the suprema of the d-dimensional Gaussian process.

NOMALIZERS OF NONNORMAL SUBGROUPS OF FINITE p-GROUPS

  • Zhang, Qinhai;Gao, Juan
    • 대한수학회지
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    • 제49권1호
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    • pp.201-221
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    • 2012
  • Assume G is a finite p-group and i is a fixed positive integer. In this paper, finite p-groups G with ${\mid}N_G(H):H{\mid}=p^i$ for all nonnormal subgroups H are classified up to isomorphism. As a corollary, this answer Problem 116(i) proposed by Y. Berkovich in his book "Groups of Prime Power Order Vol. I" in 2008.

HOMOGENIZATION OF THE NON-STATIONARY STOKES EQUATIONS WITH PERIODIC VISCOSITY

  • Choe, Hi-Jun;Kim, Hyun-Seok
    • 대한수학회지
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    • 제46권5호
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    • pp.1041-1069
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    • 2009
  • We study the periodic homogenization of the non-stationary Stokes equations. The fundamental homogenization theorem and corrector theorem are proved under a very general assumption on the viscosity coefficients and data. The proofs are based on a weak formulation suitable for an application of classical Tartar's method of oscillating test functions. Such a weak formulation is derived by adapting an argument in Teman's book [Navier-Stokes Equations: Theory and Numerical Analysis, North-Holland, Amsterdam, 1984].

Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning by Peter Liljedahl (2020)

  • Cho, Hoyun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제25권2호
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    • pp.165-169
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    • 2022
  • Building Thinking Classrooms in Mathematics, Grades K-12: 14 Teaching Practices for Enhancing Learning is Liljedahl's latest book that cumulated his long-term research project. He provides concrete advice on each of 14 research-based teaching practices, along with answers to frequently asked questions and suggestions for getting started, which will help you build your thinking classroom.

요리활동에 기초한 책 만들기 활동이 유아의 수학개념 및 쓰기발달에 미치는 영향 (The Effects of Cookbook Making Activities on Young Children's Mathematical Concepts and Writing Development)

  • 박미영;김민진
    • 아동학회지
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    • 제35권6호
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    • pp.93-110
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    • 2014
  • The purpose of this study was to examine the effects of cookbook making activities on young children's mathematical concept and writing development. The participants were comprised of 50 five-year-old children from two intact classes from a kindergarten in Gyeonggi province, and they were divided into an experimental and a comparison group. The experimental group participated in cooking activities and produced cookbooks as extension activities whereas the comparison group carried out only cooking activities. The results indicated that the children in the experimental group received statistically higher scores in mathematical concept- and writing-tests, suggesting that cookbook making activities are a useful educational tool for enhancing young children's mathematical concepts and facilitating their writing development.

프린키피아의 뉴턴

  • 이정선
    • 한국수학사학회지
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    • 제16권2호
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    • pp.35-42
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    • 2003
  • It is well known that a lot of mathematical theories of many famous mathematicians had scholarly effects on Isaac Newton. Nonetheless, his private internal view or attitude to natural philosophy is not so much known. In this paper we will approach him via his famous book Principia an physics and mathematics, considering the influences acted on him by mathematicians in the history of mathematics.

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구장산술에 포함된 증명의 유형과 역할

  • 이종희
    • 한국수학사학회지
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    • 제16권2호
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    • pp.11-22
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    • 2003
  • In this paper, we investigate the types and roles of ancient mathematical proof by exploring Gu-Jang-Sal-Sul. Gu-Jang-Sal-Sul is a ancient Chinese mathematics book. Types of proof contained in Gu-Jang-Sal-Sul are enactive proof and intuitive proof and the role of proof is explanation. And we suggest social background of proof in Gu-Jang-Sal-Sul topographically, culturally, and logically.

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디지털 음성 도서에서 MathML 수식의 수준별 독음 변환 기법 (A Study on Phased Reading Techniques of Mathematical Expression in the Digital Talking Book)

  • 황정수;임순범
    • 한국멀티미디어학회논문지
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    • 제17권8호
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    • pp.1025-1032
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    • 2014
  • Until now, there were few supports on reading the mathematical expressions except text based expressions, so it is important to provide the reading of the mathematical expressions. Also, there are various of obstacles for people who are not visually impaired when reading the mathematical expressions such as the situation of presbyopia, reading the mathematical expressions in the vehicles, and so on. Therefore, supports for people to read mathematical expressions in various situations are needed. In the previous research, the main goal was to transform the mathematical expressions into Korean text based on Content MathML. In this paper, we expanded the range of the research from a reading disabilities to people who are not reading disabilities. We tested appropriacy of the rules we made to convert the MathML based expressions into speech and defined 3 math-to-speech rules in korean based on levels. We implemented the mathematical expressions by using 3 math-to-speech rules. We took comprehension test to find out whether our math to speech rules are well-defined or not.

초.중.고교 확률.통계의 효율적인 지도에 관한 연구 (A Study on Analysis through the Probability and Statistics of the Curriculum and Text book in Elementary, Middle and High School)

  • 오후진;유병대
    • 한국학교수학회논문집
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    • 제1권1호
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    • pp.59-67
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    • 1998
  • Probability and statistics is an important section in mathematics which is deeply related to everyday living, natural science and social science. In spite of its importance, many students will throw away it because it becomes very harder as its step(stage) deepens and probability and statistics' relative importance is very small in Korea-SAT(the test of college entrance in Korea). Therefore, by analyzing the involvement carefully between the curriculum in the elementary, middle, high school and the text book, by studying the problem and improvement direction, it is necessary to investigate an effective teaching method. This study intends to give the students the confidence, interests, and accomplishment motive about probability and statistics field and to make a rational and creative decision-making through mathematical speculation by proposing an effective teaching method through analyzing an existing facts in school's probability and statistics field. The contents of this study are composed of four chapters. Chapter three looks into the mathematical curriculum in the elementary, middle, high school and its teaching meaning, the outline of contents, some tips on teaching and problems and presents an effective and concrete teaching method on the basis of the theoretical background in the chapter two. Chapter four is a conclusive part and gives the general improvement and intentional direction in educating the probability and statistics.

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