• Title/Summary/Keyword: Mathematical communication

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A Study on the Quantitative Analysis of Scientific Communication (학술 커뮤니케이션의 수량학적 분석에 관한 연구)

  • Kim Hyun-hee
    • Journal of the Korean Society for Library and Information Science
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    • v.14
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    • pp.93-130
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    • 1987
  • Scientific communication is an information exchange activity between scientists. Scientific communication is carried out in a variety of informal and formal ways. Basically, informal communication takes place by word of mouth, whereas formal communication occurs via the written word. Science is a highly interdependent activity in which each scientist builds upon the work of colleagues past and present. Consequently, science depends heavily on scientific communication. In this study, three mathematical models, namly Brillouin measure, logistic equation, and Markov chain are examined. These models provide one with a means of describing and predicting the behavior of scientific communication process. These mathematical models can be applied to construct quality filtering algorithms for subject literature which identify synthesized elements (authors, papers, and journals). Each suggests a different type of application. Quality filtering for authors can be useful to funding agencies in terms of identifying individuals doing the best work in a given area or subarea. Quality filtering with respect to papers can be useful in constructing information retrieval and dissemination systems for the community of scientists interested m the field. The quality filtering of journals can be a basis for the establishment of small quality libraries based on local interests in a variety of situations, ranging from the collection of an individual scientist or physician to research centers to developing countries. The objective of this study is to establish the theoretical framework for informetrics which is defined as the quantitative analysis of scientific communication, by investigating mathematical models of scientific communication.

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The Communication of Elementary Math Classes Through Observing the Excellent Lesson Videos (우수수업 사례를 통해서 본 초등 수학 교실에서의 의사소통)

  • Choi, Eun-Ah;Lee, Kwang-Ho
    • School Mathematics
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    • v.12 no.4
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    • pp.507-530
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    • 2010
  • The purpose of this study was to help teachers for their teaching practice by analyzing the excellent lesson videos. To analyze the lesson videos between teacher and students, the researchers classified excellent lesson classes into four types as 'Discourse type', 'Representation type', 'Operation type' and 'Complex type' by mathematical communication pattern and kept close watch each lesson videos. Mathematical communication of the best discourse type classroom was analyzed in terms of questioning, explaining, and the sources of mathematical ideas. As a result, the number of Discourse type classes was 6. Operation type classes were 16 owing to characteristic of elementary class. Representation type class was 1 and Complex type class was 1. The Classes excluding Operation type was more planned by teachers. Teachers need to know about mathematical communication accurately because they designed just 5 lesson plan considering mathematical communication of students and only one of the lessons has the intellectual purpose of communication. Furthermore teachers should reflect questioning for student-to-student in their lesson plan.

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As mathematical communication, case study about mathematical attitude of high school students through mathematical journal writing (수학적 의사소통으로서 수학일지 쓰기를 통한 고등학생의 수학적 태도에 관한 사례연구)

  • Kim, Mi-Ran;Song, Yeong Moo
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.77-92
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    • 2006
  • In this paper, we saw how high school students have affection mathematical journal writing and how mathematical journal writing affects high school students mathematical attitude we got the conclusion of this research through case study as following; First, through mathematical journal writing, while research participants feel sense of accomplishment, feel buren about exposure of their own ideas. Second. mathematical journal writing makes students. think self-examination and benefits mathematical comprehension process. Third, mathematical journal writing changes students' studying attitude positively and makes students participate actively in class.

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The Effects on Mathematical Communication and Disposition for the Writing Mathematics Letters in Secondary Mathematics Education (수학에 관한 편지 쓰기 활동이 고등학생의 수학적 의사소통 및 성향에 미치는 영향)

  • An, Jong-Su
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.163-184
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    • 2010
  • In this paper, we study the effects on mathematical communication and disposition for the writing mathematics letters in secondary mathematics education. For this purpose we construct a experimental class and then analyse the students' change in those aspects after applying writing mathematics letters made some significant changes on the students communication in mathematics and disposition. First. the results for this purpose on regarding the enhancement of mathematical communication are effective. Second, the results on regarding the improvement of disposition are effective.

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A Study on the Development and Application of Teaching and Learning Model for the Improvement of Mathematical Communication Ability (수학적 의사소통 능력 신장을 위한 교수-학습 모형 개발 및 적용 연구)

  • Lee, Eun-Ju;Lee, Dae-Hyun
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.135-145
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    • 2011
  • When mathematicians solve the new problems, they present the solutions to their colleagues for getting the approval. If the solution is accepted, it will be theorems. This phenomenon also happens to classrooms in elementary and secondary school. That is main reason to emphasize mathematical communication activities in mathematics education. This study is aimed to develop teaching and learning model for the improvement of mathematical communication ability, applicate the teaching and learning model to two groups and analyze for mathematical thoughts. This study is a case study of 3rd grader's activities. Eight students, four are group applied the teaching and learning model and four are traditional group. The results have been drawn as follows: First, students in the teaching and learning model group induced richer interactions for student's understanding and investigation when we compare to those of traditional group. Second, students in the teaching and learning model group have the chance to explain their thoughts. And we can observe students to clear on their thought through speaking and discussing. This model makes students to enhance organizing, forming and clearing in their mathematical thoughts and is effective to estimate of students thought for teacher.

Analyzing Effects of Cognitive Styles and Developmental Stages on Mathematical Communication Ability (인지양식 및 인지발달단계가 수학적 의사소통 능력에 미치는 효과)

  • 이종희;황보경
    • The Mathematical Education
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    • v.40 no.1
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    • pp.1-14
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    • 2001
  • The main purpose of this study is to find out how each students' different cognitive styles and cognitive developmental stages influence their mathematical communication capabilities. Our results are as follows: First, there was an interaction effect between cognitive styles and cognitive developmental stages. Students in the independent-formal group get good marks in written ability. Students' cognitive developmental stages influence their writing abilities. Second, There is a little difference in oral communication ability depending on cognitive styles. Students in the field-independent group participated in more actively and creatively, and showed competency in expressions and speaking skills and students' cognitives styles inflence their speaking abilities.

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An Analysis of the Objects and Methods of Mathematical Connections in Elementary Mathematics Instruction (초등학교 수학 수업에 나타난 수학적 연결의 대상과 방법 분석)

  • Kim, YuKyung;Pang, JeongSuk
    • The Mathematical Education
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    • v.51 no.4
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    • pp.455-469
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    • 2012
  • Given the importance of mathematical connections in instruction, this paper analyzed the objects and the methods of mathematical connections according to the lesson flow featured in 20 elementary lessons selected as effective instructional methods by local educational offices in Korea. Mathematical connections tended to occur mainly in the introduction, the first activity, and the sum-up period of each lesson. The connection between mathematical concept and procedure was the most popular followed by the connection between concept and real-life context. The most prevalent method of mathematical connections was through communication, specifically the communication between the teacher and students, followed by representation. Overall it seems that the objects and the methods of mathematical connections were diverse and prevalent, but the detailed analysis of such cases showed the lack of meaningful connection. These results urge us to investigate reasons behind these seemingly good features but not-enough connections, and to suggest implications for well-connected mathematics teaching.

Process Analysis on Mathematical Communication and Analogical Thinking through Trapezoid's Area Obtaining Activity (사다리꼴 넓이 구하기 활동에서 나타나는 수학적 의사소통과 유추적 사고 과정 분석)

  • You, Sanghwuy;Song, Sang Hun
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.253-267
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    • 2013
  • The newly revised mathematics curriculum of 2007 speaks of ultimate goal to develop ability to think and communicate mathematically, in order to develop ability to rationally deal with problems arising from the life around, which puts emphasize on mathematical communication. In this study, analysis on mathematical communication and analogical thinking process of group of students with similar level of academic achievement and that with different level, and thus analyzed if such communication has affected analogical thinking process in any way. This study contains following subjects: 1. Forms of mathematical communication took placed at the two groups based on achievement level were analyzed. 2. Analogical thinking process was observed through trapezoid's area obtaining activity and analyzed if communication within groups has affected such process anyhow. A framework to analyze analogical thinking process was developed with reference of problem solving procedure based on analogy, suggested by Rattermann(1997). 15 from 24 students of year 5 form of N elementary school at Gunpo Uiwang, Syeonggi-do, were selected and 3 groups (group A, B and C) of students sharing the same achievement level and 2 groups (group D and E) of different level were made. The students were led to obtain areas of parallelogram and trapezoid for twice, and communication process and analogical thinking process was observed, recorded and analyzed. The results of this study are as follow: 1. The more significant mathematical communication was observed at groups sharing medium and low level of achievement than other groups. 2. Despite of individual and group differences, there is overall improvement in students' analogical thinking: activities of obtaining areas of parallelogram and trapezoid showed that discussion within subgroups could induce analogical thinking thus expand students' analogical thinking stage.

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An Analysis of Inquiry Learning Situation Using Graphing Calculator: On the Viewpoint of Mathematical Communication/Visualization (그래핑계산기를 활용한 탐구 학습 상황 분석: ‘수학적 의사소통/시각화’의 관점에서)

  • Kang, Yun-Soo
    • Journal of the Korean School Mathematics Society
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    • v.8 no.1
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    • pp.19-33
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    • 2005
  • In this paper, we analyzed the qualitative data which collected from the inquiry learning situation on small group using TI-92 graphing calculator. From the analysis, we found the followings: First, TI-92 graphing calculator promote the mathematical communication between students or students and teacher on the small group inquiry learning process through it be a role of catalyzer to make opened atmosphere. Second, TI-92 graphing calculator give a chance to students to explore the advanced mathematical relations through it provide the new learning environment relate to the visual imagery.

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A Case Study on Teaching Mathematical Communication via Web-Based Online Discussion (웹 기반 온라인 토론을 통한 수학적 의사소통 지도에 관한 사례연구)

  • 권오남;김인숙
    • School Mathematics
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    • v.5 no.1
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    • pp.77-95
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    • 2003
  • We have web-based online discussion to implement active interaction and a variety of communicative activities. I have gathered the following research questions to study about the meaning of web-based online discussion as a mathematical communication teaching method. First, what changes are there in students mathematical communication ability in web-based online discussion\ulcorner Second, how do students evaluate the web-based online discussion experience\ulcorner In this web-based online discussion, groups of middle school first grade 34 students and each group had chatting at 8 times for 10 weeks. I analyzed what they had discussed by the prints that they had sent me by e-mail. I also surveyed what they had experienced and analyzed them. In this research, the online web based discussion has given positive influence on students' competence of speaking, writing, reading and listening which are crucial to mathematical communication. Students' mathematic thinking power improved and attitudes to mathematics have become more positive.

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