• Title/Summary/Keyword: Mathematical communication

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The Development and Application of Posing Open-Ended Problems Program with Renzulli's Enrichment Triad Model for Mathematics-Gifted Elementary Students (초등 수학 영재를 위한 Renzulli의 삼부심화모델 도입 개방형 수학 문제 만들기 프로그램 개발 및 적용)

  • Lee, Ja Hye;Kim, Min Kyeong
    • The Mathematical Education
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    • v.55 no.2
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    • pp.209-232
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    • 2016
  • This study analyzed the process of steps in a program introducing Renzulli's enrichment triad model and various levels of posing open-ended problems of those who participated in the program for mathematics-gifted elementary students. As results, participants showed their abilities of problem posing related to real life in a program introducing Renzulli's enrichment triad model. From eighteen mathematical responses, gifted students were generally outstanding in terms of producing problems that demonstrated high quality completion, communication, and solvability. Amongst these responses from fifteen open-ended problems, all of which showed that the level of students' ability to devise questions was varied in terms of the problems' openness (varied possible outcomes), complexity, and relevance. Meanwhile, some of them didn't show their ability of composing problem with concepts, principle and rules in complex level. In addition, there are high or very high correlations among factors of mathematical problems themselves as well as open-ended problems themselves, and between mathematical problems and open-ended problems. In particular, factors of mathematical problems such as completion, communication, and solvability showed very high correlation with relevance of the problems' openness perspectives.

Securing Anonymous Authenticated Announcement Protocol for Group Signature in Internet of Vehicles

  • Amir, Nur Afiqah Suzelan;Malip, Amizah;Othman, Wan Ainun Mior
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.11
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    • pp.4573-4594
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    • 2020
  • Announcement protocol in Internet of Vehicles (IoV) is an intelligent application to enhance public safety, alleviate traffic jams and improve transportation quality. It requires communication between vehicles, roadside units and pedestrian to disseminate safety-related messages. However, as vehicles connected to internet, it makes them accessible globally to a potential adversary. Safety-related application requires a message to be reliable, however it may intrude the privacy of a vehicle. Contrarily, if some misbehaviour emerges, the malicious vehicles must be able to traceable and revoke from the network. This is a contradiction between privacy and accountability since the privacy of a user should be preserved. For a secure communication among intelligent entities, we propose a novel announcement protocol in IoV using group signature. To the best of our knowledge, our work is the first comprehensive construction of an announcement protocol in IoV that deploys group signature. We show that our protocol efficiently solves these conflicting security requirements of message reliability, privacy and accountability using 5G communication channel. The performance analysis and simulation results signify our work achieves performance efficiency in IoV communication.

The Effects of Mathematical Games with Motion on Young Children's Development (운동요소가 포함된 수학게임이 유아발달에 미치는 효과)

  • Chang, Bo-Kyung
    • Korean Journal of Human Ecology
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    • v.19 no.2
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    • pp.271-283
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    • 2010
  • This study was planned to investigate the effects of mathematical games with motion on young children's development. The study was performed to compose mathematical games with motion and just mathematical games for young children. The games were set up to be executed 16 times for 8 weeks. The results of this study were as follows: Mathematical games with motion had a significant effect on young children's mathematical problem-solving ability. Mathematical games with motion had a significant effect in every category on young children's ability for motion competence and mathematical games with motion had a significant effect on young children's socio-emotional development. There were significant differences between the control group and the experimental group except for the independence from teachers and peer interaction. Mathematical games with motion had a significant effect on young children's language ability.

A Study on Teaching Methods of Mathematics Using SIOP Model for KLLs (SIOP 모델을 적용한 한국어학습자의 수학 학습 지도 방안 연구)

  • Choi, Hee Hoon;Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.3
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    • pp.305-321
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    • 2019
  • Rapid demographic changes such as international marriages and immigration have led to the transition of Korea to a multicultural society, thereby causing the need for education for multicultural students. In particular, there is a growing need to support Korean Language Learners (KLLs) who learn in Korean in their classrooms and whose native language is a foreign language. This study aims to adapt some teaching strategies of the SIOP model developed in the U.S. for English Language Learners(ELLs) to fit classroom situations in Korea and apply them to the Korean language learners to analyze the features of mathematical communication and to examine the possibility of a change in mathematical errors. Specifically, three KLLs in 5th grade participated in seven geometry lessons adapting some characteristics of SIOP model and then, their mathematical communication and mathematical errors were analyzed. The results of this study are expected to provide didactical implications for identifying characteristics of KLLs and for setting direction for teaching them mathematics.

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Development of Creative Problem-Solving Activities for Integrating Mathematics and Information Science: Focusing on the Hat Game for Mathematically Gifted Students (수학 정보과학 융합을 위한 창의적 문제해결 활동 개발: 영재 학생을 대상으로 한 모자 게임을 중심으로)

  • Seo, Jiyoung;Youn, Sang-Gyun
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.439-467
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    • 2022
  • The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

Fostering Mathematical Thinking and Creativity: The Percent Problem

  • Foong, Pui Yee
    • Research in Mathematical Education
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    • v.14 no.1
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    • pp.51-65
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    • 2010
  • Open-ended problems can foster deeper understanding of mathematical ideas, generating creative thinking and communication in students. High-order thinking tasks such as open-ended problems involve more ambiguity and higher level of personal risks for students than they are normally exposed to in routine problems. To explore the classroom-based factors that could support or inhibit such higher-order processes, this paper also describes two cases of Singapore primary school teachers who have successfully or unsuccessfully implemented an open-ended problem in their mathematics lessons.

An Analysis of Effects of Application of Communicative Teaching and Learning Activity on Number and Operation, Mathematical disposition (의견교환을 통한 교수.학습활동의 효과 분석)

  • Lee, Joong Hee;Choi, Chang Woo
    • East Asian mathematical journal
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    • v.37 no.2
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    • pp.223-243
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    • 2021
  • The purpose of this thesis is to analyze the effect on formation of computational abilities and dispositions to the first grade of elementary school students by applying of communicative teaching and learning activity. As a result of analysis, we could get some suggestive points and also we could make sure that computational abilities and dispositions of the first grade students are formed by applying of communicative teaching and learning activity. However, help and control of teacher have to be with it.

A study on the Elements of Communication in the Tasks of Function of Mathematics in Context Textbook (MiC 교과서의 함수 과제에 대한 의사소통의 유형별 요소에 관한 탐색)

  • Hwang, Hye Jeang;Choe, Seon A
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.353-374
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    • 2016
  • Communication is one of 6 core competencies suggested newly in mathematics curriculum revised in 2015 in Korea. Also, it's importance has been emphasized through NCTM and CCSSI. By the subject of Mathematics in Context(MiC) textbook, this study planned to explore the communication elements according to the types of communication such as discourse, representation, operation. Namely, this study dealt with 316 questions in a total of 34 tasks relevant to function content in the MiC textbook, and this study explored the communication elements on the questions of each task. To accomplish this, this study first of all was to reconstruct and establish an analytic framework, on the basis of 'D.R.O.C type' of communication developed by Kim & Pang in 2010. In addition, based on the achievement standards of function domain in mathematics curriculum revised in 2015 in Korea, this study basically compared with the function content included in MiC textbook and Korean mathematics curriculum document. Also, it tried to explore the distribution of communication elements according to the types of communication.

A Design of Web-Based System for Mathematical Word Problem Representation Ability Improvement (수학 문장제 표상능력 향상을 위한 웹 기반 시스템의 설계)

  • Park, Jung-Sik;Kho, Dae-Ghon
    • Journal of The Korean Association of Information Education
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    • v.5 no.2
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    • pp.185-196
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    • 2001
  • Elementary school students feel more difficult the mathematical word problems than the numberical formula. I think that this reason isn't the ability of mathematical calculation but the problems representation. It is demanded exactly understanding about the requirements of problem for improving ability of the mathematical word problem representation. It is necessary that we take multimedia data and communication for this, because web advances multimedia materialization and promotes mutual communication, then it gives us with the most environment for word problem representation learning. According to, this thesis is designed web-based system to improve ability of the mathematical word problem representation, applied the sixth grade it experimentally.

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