• Title/Summary/Keyword: Mathematics Education and Language

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Teaching-Learning Method for Calculus Education with Maplet (Maplet을 이용한 미적분학 교수-학습 방법)

  • 한동숭
    • Journal of the Korean School Mathematics Society
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    • v.6 no.2
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    • pp.71-85
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    • 2003
  • In this paper we study the usefulness of Maple in school calculus education. The use of computer and calculator is debated in many aspect in mathematics education. By the computer visualization of mathematical image and proper use of computer we can teach inductively and intuitively the mathematical concept and give rise to the students' interest. Maple is very popular in college but is not in middle school because of language. Maple application which is made by Maplet is very useful multimedia teaching-learning tools. We introduce the use of Maplet and some application of the calculus course which we made.

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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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Levels of Statistical Literacy Derived from Middle School Mathematics Textbook (중학교 수학 교과서의 통계적 소양 수준 반영 정도)

  • Choi, Sun Mi;Noh, Jihwa
    • East Asian mathematical journal
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    • v.37 no.4
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    • pp.481-497
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    • 2021
  • The importance of statistics in everyday life and work place has led to calls for an increased attention to statistical literacy in the mathematics curriculum both internationally and domestically. While professional organizations and researchers propose perspectives towards and models of statistical literacy, conceptions and elements of statistical literacy vary. This study examines how mathematics textbook questions fulfill the requirements of statistical literacy by employing two models: Watson's model focusing on understanding of statistical language and Curcio's model on data interpretation aspects of statistical literacy. For this, a total of 872 problem questions presented in the statistics units of from ten textbooks for the middle school year 1 mathematics were analyzed.

A Design and Implementation of Graphic Component for Function Learning in Mathematics (수학과 함수 학습을 위한 그래픽 컴포넌트 설계 및 구현)

  • Shin, Woo-Chang;Kim, Kap-Su
    • The Journal of Korean Association of Computer Education
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    • v.10 no.4
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    • pp.51-59
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    • 2007
  • There is the meager level of applying computers to mathematics education. It is because the effective mathematics educational softwares and the various contents that make students' spontaneous participation through the interaction with computers are insufficient. As a solution to solve it, we design and implement the graphic component, graphic entities and function types that are supported in the component was identified through analyzing the mid/high school curriculum, using a simple script language to invoke the functionality of the component improves reusability and extendability. The component can be used to produce the mathematics educational softwares and contents easily that need the facility to draw various functions and geometric figures.

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The Later Wittgenstein' Philosophy and Mathematics Learning (후기 비트겐슈타인 철학과 수학 학습)

  • Cho, Jin Woo;Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.25 no.1
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    • pp.59-74
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    • 2015
  • It is an increasing research area to explore mathematics learning from discursive perspectives. However, there have been little studies conducted on why and how discursive perspectives in mathematics learning were adopted and developed. Especially, not much discussion has been done on the later Wittgenstein's philosophical stance in terms of the relationship between language and thought as a background of discursive approach to learning mathematics. This study aims to explore the later Wittgenstein on language to get better understanding about discursive approaches to mathematics learning. For the attainment of this aim, first the later philosophy is compared with the former philosophy in depth. Then the later philosophy is discussed focusing on how his point of view on the world and the language have been changed. After providing an account of his later philosophy, it is clarified that what is discursive approaches to learning mathematics and how this philosophy brace the approaches. This research concludes with implications and limitations, as well as suggestions for future researches.

An Analysis of Communication Means in the Elementary Mathematical Small Group Cooperative Learning (초등학교 수학과 소집단 협동학습에 나타나는 의사소통의 수단 분석)

  • Kong, Hee-Jung;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.2
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    • pp.181-200
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    • 2005
  • The purpose of this thesis was to analyze communicational means of mathematical communication in perspective of languages and behaviors. Research questions were as follows; First, how are the characteristics of mathematical languages in communicating process of mathematical small group learning? Second, how are the characteristics of behaviors in communicating process of mathematical small group learning? The analyses of students' mathematical language were as follows; First, the ordinary language that students used was the demonstrative pronoun in general, mainly substituted for mathematical language. Second, students depended on verbal language rather than mathematical representation in case of mathematical communication. Third, quasi-mathematical language was mainly transformed in upper grade level than lower grade, and it was shown prominently in shape and measurement domain. Fourth, In mathematical communication, high level students used mathematical language more widely and initiatively than mid/low level students. Fifth, mathematical language use was very helpful and interactive regardless of the student's level. In addition, the analyses of students' behavior facts were as follows; First, students' behaviors for problem-solving were shown in the order of reading, understanding, planning, implementing, analyzing and verifying. While trials and errors, verifying is almost omitted. Second, in mathematical communication, while the flow of high/middle level students' behaviors was systematic and process-directed, that of low level students' behaviors was unconnected and product-directed.

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The Effects of Lessons Using Reading Materials on Mathematical Communication, Disposition and Attitudes (읽기 자료를 활용한 수업에서 나타난 수학적 의사소통과 수학적 성향 및 태도 분석)

  • Kim, Su-Mi;Shin, In-Sun
    • The Mathematical Education
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    • v.49 no.4
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    • pp.463-488
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    • 2010
  • The purpose of this study was providing implications in teaching and learning activities to vitalize mathematical communication and to raise positive attitudes about mathematics. We analyzed mathematical communication, disposition and attitudes of the students who had lower mathematical achievement rather than that of Korean language in class using reading materials and strategies. We found that teaching-learning activities using the reading materials and strategies let the low achievers in mathematics communicate more about mathematical notions and problem-solving process actively. The activities triggered interests and attention of mathematics and self-study. In addition, the lessons with reading materials and strategies aroused confidence, will and responsibility to mathematics learning to the students. They made the learners notice mathematics' values and roles and gave the opportunity of reflection about students' learning processes. As a result, the teaching-learning using reading materials and strategies should be developed and accomplished actively in classroom to turn mathematical inclination and attitudes of the students who had had negative inclination and attitudes to mathematics into those of positive and to vitalize mathematical communication to the lower achievers in mathematics.

A Study on the Design of Mathematics Education Program for Foreign Students Majoring in Natural Science and Engineering at University in Korea (이공계 대학 유학생을 위한 수학교육 프로그램 설계 및 적용)

  • Kim, Soocheol
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.9 no.5
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    • pp.147-157
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    • 2019
  • In this study, mathematics education program was developed for the foreign students who entered the science and engineering college of Korea in order to improve their basic competency and to prevent dropouts. It is applied to 5 Chinese students, 4 male students and 1 female student. Three students are majoring in engineering college and two students are majoring in natural science college. Before applying the mathematics education program to foreign students, most students did not draw a graph of the 'irrational function' and the 'exponential function' and did not understand the concept of the 'limit' at all. However, after applying the mathematics program, all foreign students were able to draw graphs of the various function and the limit values were calculated accurately. Through the results of this study, the researcher proposes some of the following. When developing mathematics education programs for foreign students, it is very important to develop teaching materials suitable for their level. Textbook developers need to select and organize contents that are essential for learning in university mathematics and to present mathematical concepts and examples considering the Korean language level of foreign students. Moreover, it will be necessary to try to present mathematical terms commonly used in Korea in their native language or English.

OBTAINING WEAKER FORM OF CLOSED SETS IN TOPOLOGICAL SPACE USING PYTHON PROGRAM

  • Prabu, M. Vivek;Rahini, M.
    • The Pure and Applied Mathematics
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    • v.29 no.1
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    • pp.93-102
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    • 2022
  • The impact of programming languages in the research sector has helped lot of researchers to broaden their view and extend their work without any limitation. More importantly, even the complex problems can be solved in no matter of time while converting them into a programming language. This convenience provides upper hand for the researchers as it places them in a comfort zone where they can work without much stress. With this context, we have converted the research problems in Topology into programming language with the help of Python. In this paper, we have developed a Python program to find the weaker form of closed sets namely alpha closed set, semi closed set, pre closed set, beta closed set and regular closed set.

The Direction to Assessment of School Mathematics in Accordance with 2009 Reformed Curriculum (2009 개정 교육과정에 따른 수학과 평가가 나아가야 할 방향)

  • Kang, Myung-Won;Kim, Sung-Ho;Park, Ji-Hun;Lee, Sun-Joon;Cha, Yong-Woo;ChoiKoh, Sang-Sook
    • Communications of Mathematical Education
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    • v.24 no.2
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    • pp.301-323
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    • 2010
  • This study was to find the direction to assessment of school mathematics in accordance with 2009 reformed curriculum. As new trends in the latest reformed 2009 curriculum, creativity, multicultural education, and mathematics disposition were focused. In creativity, more items should be developed for enhancing students' ability in areas of fluency, elaborateness, and originality, besides flexibility which was mostly dealt in the formal assessments that have been done previously in school. In multicultural education. purposeful bilingual programs should be developed in mathematics education to improve not only students' language skill, but also mathematical ability. In mathematical disposition, various questionnaires including checklists along with clinical interview should be provided to evaluate students' on-going process of mathematical learning.