• Title/Summary/Keyword: the language of Mathematics

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Effects on Extension of Mathematical Communication Ability by Applying of Computational-Strategy Games (계산 전략 게임 적용이 수학적 의사소통 능력 신장에 미치는 영향)

  • 박병서
    • Education of Primary School Mathematics
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    • v.3 no.2
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    • pp.133-142
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    • 1999
  • When the game is used in mathematics loaming, students take pleasure of game in themselves and communicate through interaction with other students naturally. It is important because the game is activity for intellectual growth and social development. Also students have had affirmative attitude about mathematics by Emu. The communication in mathematics loaming helps that linking informal and intuitive thinking of students with abstract and basic mathematical language and that it also helps changing from the dependent situation to teacher to the self-directive teaming of students. The purpose of this thesis is to effect on extension of mathematical communication ability to the second grade of elementary school students by applying of computational-strategy games. It has conclusion as follows. Application of computational-strategy games had effected on extension of mathematical communication ability importantly. When students have mathematical communication through computational-strategy games, at the beginning, the words which students used was long, incorrect, and unnecessary words. But at the later, students became to use clear, correct concise words as they connect their routine language with mathematical symbol. Therefore we can make sure that mathematical communication ability of the second grade students' is extended by applying of computational-strategy games.

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PATTERNS IN IRREGULAR MULTI-DIMENSIONAL ARRAYS

  • BENTIBA AHMED
    • Journal of applied mathematics & informatics
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    • v.17 no.1_2_3
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    • pp.297-305
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    • 2005
  • In this paper, we study irregular 3D-Arrays with pyramid shapes. Some computation using Maple software and C++ language have been carried out to illustrate some novel and interesting patterns of numbers in these arrays.

The Effects of Teaching University Mathematics in English (대학 수학 교육에서 영어 강의의 효과 연구)

  • Lee, Hae-Moon;Kim, Young-Wook
    • Journal for History of Mathematics
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    • v.20 no.1
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    • pp.83-102
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    • 2007
  • A math class in Korean university was taught in English for one semester and the students' improvement was measured in math content and English proficiency. Pre and post test in 9 week intervals showed that math content loaming in the immersion class was superior to the non-immersed class. Especially, the immersion class showed remarkable improvement in difficult problems among math content test problems. The immersion class improved in math-related English, but not in general English. It is discussed that the particular English expressions for math are hardly separable from the math content knowledge in English because understanding and using those expressions correctly means the students' understanding of math concept in English and thus the math concept itself.

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PARALLEL COMMUNICATING AUTOMATA SYSTEMS -A SURVEY

  • Carlos Martin-Vide;Victor Mitrana
    • Journal of applied mathematics & informatics
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    • v.7 no.2
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    • pp.357-377
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    • 2000
  • A parallel communicating automata system is an accepting device based on the communications between more automata working in parallel. It consists of several automata corking independently but communicating with each other by request. We survey several variants of parallel communicating automata systems with respect to their computational power. Other aspects like decidability and complexity matters are also briefly discussed. Some open problem sand directions for future research are finally pointed out.

EDGE-MINIMIZATION OF NON-DETERMINISTIC FINITE AUTOMATA

  • Melnikov, B.F.;Melnikova, A.A.
    • Journal of applied mathematics & informatics
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    • v.8 no.3
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    • pp.693-703
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    • 2001
  • In this paper we consider non-deterministic finite Rabin-Scott’s automata. We use a special structure to descibe all the possible edges of non-determinstic finite automaton defining the given regular language. Such structure can be used for solving various problems of finite automata theory. One of these problems is edge-minimization of non-deterministic automata. As we have not touched this problem before, we obtain here two versions of the algorithm for solving this problem to continue previous series of articles.

A Research Synthesis on Mathematics Education for Students with Diversity Including Multicultural Education, Language Minority, and Social Economic Status (다양성 배경을 지닌 학생들의 학습현장에서 수학교육연구에 관한 문헌고찰)

  • ChoiKoh, Sang-Sook
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.389-409
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    • 2009
  • This article was to investigate the previous research as a research synthesis in the area of Mathematics Education for students with diversity including multi-cultural education, language minority, and social economic status. The following summaries were made: Recognizing equity in students with diversity; Restoring teachers' perspectives toward poststandardization; Introducing creative curricular based on students' characteristics; Application of the direct instruction; Foci on interests, challenges and mastery learning; Application of Anchored Instruction; Application of CRA; Tasks, tools, & classroom norms; Enhancement of connection and communication using small-group activity; Development of programs enriched by bilingual education; and Producing curriculum for students from North Korea.

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TianYuanShu and Numeral Systems in Eastern Asia (천원술(天元術)과 기수법(記數法))

  • Hong, Sung Sa;Hong, Young Hee;Lee, Seung On
    • Journal for History of Mathematics
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    • v.25 no.4
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    • pp.1-10
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    • 2012
  • In Chinese mathematics, there have been two numeral systems, namely one in spoken language for recording and the other by counting rods for computations. They concerned with problems dealing with practical applications, numbers in them are concrete numbers except in the process of basic operations. Thus they could hardly develop a pure theory of numbers. In Song dynasty, 0 and TianYuanShu were introduced, where the coefficients were denoted by counting rods. We show that in this process, counting rods took over the role of the numeral system in spoken language and hence counting rod numeral system plays the role of that for abstract numbers together with the tool for calculations. Decimal fractions were also understood as denominate numbers but using the notions by counting rods, decimals were also admitted as abstract numbers. Noting that abacus replaced counting rods and TianYuanShu were lost in Ming dynasty, abstract numbers disappeared in Chinese mathematics. Investigating JianJie YiMing SuanFa(簡捷易明算法) written by Shen ShiGui(沈士桂) around 1704, we conclude that Shen noticed repeating decimals and their operations, and also used various rounding methods.

Code automorphism group algorithms and applications

  • Cho, Han-Hyuk;Shin, Hye-Sun;Yeo, Tae-Kyung
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.575-584
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    • 1996
  • We investigate how the code automorphism groups can be used to study such combinatorial objects as codes, finite projective planes and Hadamard matrices. For this purpose, we write down a computer program for computing code automorphisms in PASCAL language. Then we study the combinatorial properties using those code automorphism group algorithms and the relationship between combinatorial objects and codes.

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Development of Teaching Methods to Improve Mathematical Capabilities for Electronics Engineering

  • LEE, Seung-Woo;LEE, Sangwon
    • International Journal of Internet, Broadcasting and Communication
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    • v.13 no.2
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    • pp.120-126
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    • 2021
  • The importance of mathematics is emerging to create new values and secure competitiveness in an intelligent information society based on the Fourth Industrial Revolution. This study was conducted with the aim of improving the academic performance and increasing interest of electronics majors in mathematics subjects. In order to develop learners' mathematical capabilities in major fields that utilize mathematics that electronics majors do not prefer, we have proposed a new teaching method to promote employment in mathematics-based electronics fields. In addition, to enhance learners' self-directed learning, we developed teaching methods for efficient mathematics subjects with programming languages as tools in electronics engineering and applied them to real-world teaching sites to effectively cultivate academic performance improvement of majors. Finally, we conducted a survey and statistically analyze the effectiveness of the developed teaching methods to present effective operational measures for mathematics education, an essential tool in intelligent information technology.