• Title/Summary/Keyword: 수학 역량 하위요소

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An Analysis of Students' Mathematical Communication Competency focused on Fraction Division (분수의 나눗셈에 대한 초등학생의 수학적 의사소통 능력 분석)

  • Pang, Jeong Suk;Kim, Yoon Young;Sunwoo, Jin
    • Education of Primary School Mathematics
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    • v.25 no.2
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    • pp.179-195
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    • 2022
  • Mathematical communication competency, one of the six mathematical competencies emphasized in the latest mathematics curriculum, plays an important role both as a means and as a goal for students to learn mathematics. Therefore, it is meaningful to find instructional methods to improve students' mathematical communication competency and analyze their communication competency in detail. Given this background, this study analyzed 64 sixth graders' mathematical communication competency after they participated in the lessons of fraction division emphasizing mathematical communication. A written assessment for this study was developed with a focus on the four sub-elements of mathematical communication (i.e., understanding mathematical representations, developing and transforming mathematical representations, representing one's ideas, and understanding others' ideas). The results of this study showed that students could understand and represent the principle of fraction division in various mathematical representations. The students were more proficient in representing their ideas with mathematical expressions and solving them than doing with visual models. They could use appropriate mathematical terms and symbols in representing their ideas and understanding others' ideas. This paper closes with some implications on how to foster students' mathematical communication competency while teaching elementary mathematics.

The Effect of Physical Computing Education to Improve the Convergence Capability of Secondary Mathematics-Science Gifted Students (중등 수학과학 영재를 위한 피지컬컴퓨팅 교육이 융합적 역량 향상에 미치는 영향)

  • Kim, Jihyun;Kim, Taeyoung
    • The Journal of Korean Association of Computer Education
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    • v.19 no.2
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    • pp.87-98
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    • 2016
  • Our study is composed of Arduino robot assembly, board connecting and collaborative programming learning, and it is to evaluate their effect on improving secondary mathematics-science gifted students' convergence capability. Research results show that interpersonal skills, information-scientific creativity and integrative thinking disposition are improved. Further, by analyzing the relationship between the sub-elements of each thinking element, persistence and imagination for solving problems, interest of scientific information, openness, sense of adventure, a logical attitude, communication, productive skepticism and so on are extracted as important factors in convergence learning. Thus, as the result of our study, we know that gifted students conducted various thinking activities in their learning process to solve the problem, and it can be seen that convergence competencies are also improved significantly.

An Analysis of Statistics Strand in Elementary Mathematics Instructional Resources: Focused on the Information-Processing Capacity (통계 내용에 관한 초등학교 수학과 교과용 도서 분석 : 정보 처리 능력을 중심으로)

  • Pang, JeongSuk;Yoo, EunSeo;Kim, Yukyung
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.3
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    • pp.499-519
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    • 2016
  • This study analyzed the statistics contents in elementary mathematics textbooks in terms of an information-processing capacity, which is one of the math competencies emphasized by the 2015 revised mathematics curriculum. The findings of this study showed that the activities of 'summarizing and analyzing data or information' far outnumbered 'collecting data or information', 'interpreting and utilizing information', and 'using technological instruments or manipulative materials'. Lessons of collecting data or information were mostly present in the textbooks of lower grade-levels, where the range of data collection was narrow, and lacked adequate exploration of data collecting methods. Some lessons on utilizing information were not based on the interpretation of data, and using technological instruments or manipulative materials was merely introduced in teachers' manual and hardly introduced in the actual textbooks. Based on these findings, this study sought to suggest implications regarding the development of statistics contents in elementary mathematics textbooks in a manner to improve students' information processing capabilities.

A Remedial Education Programs to Improve Mathematics Applying Abilities as one of Core Competencies (직업기초역량으로서의 수리 활용 능력 향상을 위한 보정 학습 프로그램 개발)

  • Choe, Seung Hyun;Ryu, Hyunah;Nam, Geum Cheon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.655-674
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    • 2013
  • The MEST determined to introduce a vocational ability test for the students in vocational high schools to enhance their job competence skills from 2013 accepting the field voices that current competence test is not proper for vocational high schools whose purpose is job preparation education. The test results can be used as an official certificate in the job settlement process. The purpose of this study is to enhance the students's basic skills for mathematics in vocational high schools and in addition to that, to develop mathematics teaching materials aiming to support students in applying mathematics in real vocational world after their learning mathematics in high schools. It seems that the students in vocational high schools experiencing difficulties in mathematics because of the lack of the basic skills for mathematics demanding for the restructuring the mathematics curriculum aiming for empowering to the maximum of the potential abilities of students in vocational high schools. For this purpose, we extracted essential elements from mathematics curricula ranging from elementary schools to middle schools and vocational high schools what is necessary for students in specialized high schools to enhance the students' abilities in using mathematics in vocational area. Based on above study, we analyzed, organized, and systemized the contents and levels of mathematics. Finally, we proposed in this paper the ways to build programs to enhance the students' essential mathematics skills aiming to level up the students' vocational ability required in real vocational companies.

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A case study of elementary school mathematics-integrated classes based on AI Big Ideas for fostering AI thinking (인공지능 사고 함양을 위한 인공지능 빅 아이디어 기반 초등학교 수학 융합 수업 사례연구)

  • Chohee Kim;Hyewon Chang
    • The Mathematical Education
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    • v.63 no.2
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    • pp.255-272
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    • 2024
  • This study aims to design mathematics-integrated classes that cultivate artificial intelligence (AI) thinking and to analyze students' AI thinking within these classes. To do this, four classes were designed through the integration of the AI4K12 Initiative's AI Big Ideas with the 2015 revised elementary mathematics curriculum. Implementation of three classes took place with 5th and 6th grade elementary school students. Leveraging the computational thinking taxonomy and the AI thinking components, a comprehensive framework for analyzing of AI thinking was established. Using this framework, analysis of students' AI thinking during these classes was conducted based on classroom discourse and supplementary worksheets. The results of the analysis were peer-reviewed by two researchers. The research findings affirm the potential of mathematics-integrated classes in nurturing students' AI thinking and underscore the viability of AI education for elementary school students. The classes, based on AI Big Ideas, facilitated elementary students' understanding of AI concepts and principles, enhanced their grasp of mathematical content elements, and reinforced mathematical process aspects. Furthermore, through activities that maintain structural consistency with previous problem-solving methods while applying them to new problems, the potential for the transfer of AI thinking was evidenced.

Development and Effectiveness of STEAM Outreach Program based on Mathematics (수학을 기반으로 하는 STEAM 아웃리치 프로그램 개발과 효과성)

  • Hwang, Sunwook;Kim, Namjun;Son, Jeongsuk;Song, Wonhee;Lee, Kapjung;Choi, Seongja;Lew, Kyounghoon
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.389-407
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    • 2017
  • Many researches related to STEAM education have been actively conducted for developing elementary and secondary school students' comprehensive and logical thinking ability in relation to creativity education in Korea. Each sub factor of STEAM education requires creative thinking with the ability to be merged together to solve problems as integrated or combined forms in the fields of Science, Technology, Engineering, Arts, and Mathematics. Also, these STEAM activities and experiences should be carried out at various places outside the classroom in school. Although various educational programs to enhance mathematical creativity have been emphasized for elementary and secondary school students, recent tendency to focus on classroom learning in the school makes it difficult to develop creative thinking ability of students. This research is mainly based on the result of the project "Development and Administration of STEAM Outreach Program in 2016" supported by KOFAC(Korea Foundation for the Achievement of Science & Creativity). The purpose of this research is to develop a STEAM outreach program including students' activity books, teachers' manuals and administration manual that can maximize STEAM-related interest of students, and to provide a chance for elementary and secondary school students to experience creative thinking based on sub factors of STEAM. The STEAM competency total score and the perception of convergence education were significantly increased for all students participating this program, but some sub factors showed different result by school levels. The STEAM outreach program developed by this study is designed to emphasize STEAM education especially 'based on' mathematics in order to provide students with the opportunity to experience more interest in the field of mathematics and will be able to provide an interesting creative STEAM outreach program that utilizes a variety of activities which, we expect, would help students to consider their career in the future.

Effects of Out-of-school STEAM Programs Based on Social-Emotional Learning (사회정서학습 기반의 학교 밖 STEAM 프로그램의 효과)

  • Lee, Hyunjoo;Lee, Soo-Yong;Jung, Jaeeun;Lee, Saebyoul;Choi, Eunhye;Kwak, E-Rang;Kim, Younghwa;Chang, Hyewon
    • Journal of Korean Elementary Science Education
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    • v.41 no.4
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    • pp.740-753
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    • 2022
  • This study was conducted to develop and apply an out-of-school STEAM program model based on Social-Emotional Learning (SEL) for underprivileged students in the lower grades. To this end, a STEAM program based on SEL was developed, with the following characteristics. First, by integrating traditional STEAM learning elements and SEL elements, a structured program was designed with consistent stages, including mindfulness meditation→present an authentic situation→creative design→emotional experiences→reflection. Second, the program was structured so that elementary school students could develop mathematical thinking and scientific inquiry skills in problem-solving situations in daily life. Third, the detailed themes for each STEAM program involved storytelling-based problem situations, as well as activities centered on play and sympathy to reflect the educational needs of underprivileged students. From these characteristics, a total of five programs were developed and applied to 16 teachers and 354 lower-grade elementary school students in 16 community children centers nationwide. The results were as follows. First, while students' satisfaction with the STEAM program was 4.16, there were no significant differences in STEAM satisfaction according to gender. Second, while all students' interest and self-efficacy, which was one of sub factors of STEAM attitude, were significantly improved, no significant difference was seen in STEAM attitudes according to gender. Third, although students' SEL competencies were not significantly improved, relationship skills, which were among the sub factors of SEL competencies, were significantly improved, and there were no significant differences in SEL competencies according to gender. From these results, a discussion on the effect of the out-of-school STEAM program for underprivileged students and directions for follow-up studies was suggested.