• Title/Summary/Keyword: 수학혁명

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문화속의 과학 - 음악은 과학의 한 형태

  • Choe, Byeong-Ho
    • The Science & Technology
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    • v.32 no.1 s.356
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    • pp.29-29
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    • 1999
  • 음악은 곧 과학의 한 형태이다. 수학적 관련에서 음계가 구성된 것처럼 악기도 음향적인 발달을 위해 지속적으로 발달되어 온 기계적 산물이다. 기술의 발달은 음악의 생산과 적응에 밀접한 관련을 맺고 있어 20세기 말 미디(MIDI)의 등장과 개인 컴퓨터 등의 보급은 음악산업 전반에 걸쳐 혁명적인 큰 변화를 불러왔다.

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A Study on Development of School Mathematics Contents for Artificial Intelligence (AI) Capability (인공지능(AI) 역량 함양을 위한 고등학교 수학 내용 구성에 관한 소고)

  • Ko, Ho Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.23 no.2
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    • pp.223-237
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    • 2020
  • Artificial intelligence technology, which represents the era of the 4th Industrial Revolution, is now deeply involved in our lives, and future education places great emphasis on building students' capabilities for the principles and uses of artificial intelligence. Therefore, the purpose of this study is to develop the contents of AI related education in mathematics, which the relationship is closely connected to each other. To this end, I propose establishing two novel AI-related contents in mathematics education. One subject is related to learning the principle of machine learning based on mathematics foundation. In addition, I draw the core math contents dealt in following subject called 'Basic Mathematics for AI and Data Science.'

A research on mathematics teachers' perceptions of mathematics education (수학교육에 대한 우리나라 수학교사의 인식조사 연구)

  • Kim, Somin;Kim, Hong-Kyeom
    • The Mathematical Education
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    • v.58 no.3
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    • pp.423-442
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    • 2019
  • Stepping into the beginning of the fourth industrial revolution, we need new mathematics education plans and policies to foster talent in people for future. Investigating the present condition and teachers' perceptions of mathematics education in schools is an essential process in making mathematics education plans and policies that reflect the periodical changes and social needs. Thus, we developed a survey to investigate teachers' perceptions and present condition of mathematics education, conducted the survey for teachers in elementary, middle, and high schools, and analyzed the results of the survey. In this study, focusing on the results of the survey, we interpreted the results and provided implications for mathematics educational policies. Through frequency analysis of individual questionnaires and crosstabulation analysis between questionnaires, we could provide mathematics teachers' overall perceptions of mathematics education and basic information on the conditions of mathematics education in the schools. In addition, the findings of this study suggest that policymakers should consider the followings when developing new mathematics education plans and policies: having the proper number of students per class, reducing non-teaching work, supporting teachers' expertise in evaluation, improving Internet access and technology equipment, supporting the school administrators' change of perceptions of mathematics education, retraining teachers in the active use of ICT or technological tools, and supporting students having difficulty learning mathematics.

Paradigm and Pan-paradigm in Mathematics and Architecture (수학과 건축의 패러다임과 범 패러다임)

  • Kye, Young Hee
    • Communications of Mathematical Education
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    • v.27 no.2
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    • pp.165-177
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    • 2013
  • Mathematics teaching is often more effective when teachers connect the contents of mathematics with history, culture, and social events. In the history of mathematics, the 'paradigm' theory from Thomas Kuhn's scientific revolution is very effective to explain the revolutionary process of development in mathematics, and his theory has been widely quoted in the history of science and economics. However, it has not been appropriate to use his theory in the other fields. This is due to the fact that the scope of Kuhn's paradigm theory is limited to mathematics and science. In this study, this researcher introduced pan-paradigm as a general concept that encompasses all, since through any relation in the field of mathematics and architecture, Thomas Kuhn's theory of paradigm does not explain the phenomena. That is, at the root of various cultures there exist always a 'collective unconsciousness' and 'demands of the times,' and these two factors by synergism form values and controlling principles common to various parts of the culture, and this synergism leads the cultural activities, the process of which is a phenomenon called pan-paradigm.

Social Physical Super Connecting Layer of 4th Industrial Revolution for Jeju Goendam-Goendang (제주 괸담-괸당에 대한 4차산업혁명의 사회·물리적 초연결층)

  • Lee, Moon-Ho
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.3
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    • pp.71-85
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    • 2017
  • The $4^{th}$ industrial revolution is a super connection society. It connects all things between things and things, PC and mobile phone, human and human and human and things. In Jeju island, 'Batdam' and 'Sandam' are conneted like 'black dragon ten thousand Li', and stone walls are connected to each other as the stone network, which is called as the 'Goendam' (and conventionally is told as the 'Goendang') and is related to the Family network. Also, IoT(Internet of Things) makes the connection between the stone network and people. The Jeju's fourth industrial revolution is a its testbed. 'Goendang' connection in 4G industrial revolution is shown to be important Node and Link in socially and mathematically. In this paper, we review the historical background of the Goendang and find combinations of stones on the various types of stone field using the algebraic geometry.

Historical Significance and Didactical Implications of Stevin's (Stevin의 '소수'의 수학사적 의의와 수학교육적 함의)

  • Chang, Hye-Won
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.121-134
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    • 2011
  • Stevin is known as the inventor of decimal fractions, even though many mathematicians had the concept of decimal fractions and used it before Stevin. Why? To respond to such a question, we studied about its significance which 'La Disme' had in the history of mathematics. These can be summarized as its notational aspect, the manner of developing the book, the conceptual revolution and the practical purpose. And the chapter and verse of are little known when compared to its reputation. So in this paper we considered its contents in detail and discussed some didactical implications in relation to teaching and learning of decimal fractions in elementary school : importance of place values, similarity of calculation to natural numbers, using common fractions to justify, emphasis on the applications of decimal fractions, relation to measuring units, necessity of teaching number sense, using notational aspects.

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The Effects of Computational Thinking-based Instruction Integrating of Mathematics Learning and Assessment on Metacognition and Mathematical Academic Achievements of Elementary School Students (학습과 평가를 통합한 컴퓨팅 사고력 기반의 수업이 초등학생의 메타인지와 수학학업성취도에 미치는 영향)

  • Sim, Hyo Shin;Park, Mangoo
    • Education of Primary School Mathematics
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    • v.22 no.4
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    • pp.239-259
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    • 2019
  • The 2015 revised mathematics curriculum specified software education as a mandatory curriculum amid a trend in which the software environment was extended to daily life due to the fourth industrial revolution. It also calls for a paradigm shift in lessons that incorporate learning and evaluation by specifying a process-oriented assessment. This study focused on addition and subtraction classes based on computational thinking skills that integrate mathematics learning and evaluation. Two fourth grade classes of elementary schools in Seoul were selected to conduct a pre- and post- test of metacognition and mathematics achievement through quantitative research. Also, a mixed study was conducted to analyze students' activities and opinions in parallel. The results of the study confirmed that the computational thinking-based classes, which incorporate mathematics learning and evaluation, had a positive effect on the metacognition of elementary school students and the improvement of their achievement scores. In addition to those identified in this study, further studies on other factors are proposed.

An Analysis of the Connection between Mathematics and other Subjects in the Seventh Grade Mathematics Textbook (2015 개정 중학교 1학년 수학 교과서에 반영된 교과 연계 분석 - 문자와 식 단원을 중심으로)

  • Yoon, Si Yeong;Huh, Nan
    • Communications of Mathematical Education
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    • v.32 no.4
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    • pp.537-554
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    • 2018
  • The era of the Fourth Industrial Revolution calls for creativity - convergence talent. In addition to having mathematical knowledge, they can create new technologies by linking them to other fields. This social trend is also reflected in the 2015 revised curriculum, and plans to further expand the STEAM education emphasized since 2011. Many teachers who had previous experience with STEAM training were satisfied with the STEAM teaching effectiveness. However, the reality is that the lack of expertise in other subjects is causing a burden on the ongoing implementation of convergence education. One way to alleviate these teachers' burden is to find the STEAM elements and then apply. Since the convergence education is required continuously, it is necessary to analyze the textbook according to the 2015 curriculum. In this study, we examined how the elements of the STEAM were apply in 7th grade textbooks. Based on the classification framework proposed by Yakman (2008), a new classification framework was devised and applied to the analysis.

Research on a statistics education program utilizing deep learning predictions in high school mathematics (고등학교 수학에서 딥러닝 예측을 이용한 통계교육 프로그램 연구)

  • Hyeseong Jin;Boeuk Suh
    • The Mathematical Education
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    • v.63 no.2
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    • pp.209-231
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    • 2024
  • The education sector is undergoing significant changes due to the Fourth Industrial Revolution and the advancement of artificial intelligence. Particularly, the importance of education based on artificial intelligence is being emphasized. Accordingly, the purpose of this study is to develop a statistics education program using deep learning prediction in high school mathematics and to examine the impact of such statistically problem-solvingcentered statistics education programs on high school students' statistical literacy and computational thinking. To achieve this goal, a statistics education program using deep learning prediction applicable to high school mathematics was developed. The analysis revealed that students' understanding of context improved through experiencing how data was generated and collected. Additionally, they enhanced their comprehension of data variability while exploring and analyzing various datasets. Moreover, they demonstrated the ability to critically analyze data during the process of validating its reliability. In order to analyze the impact of the statistics education program on high school students' computational thinking, a paired sample t-test was conducted, confirming a statistically significant difference in computational thinking between before and after classes (t=-11.657, p<0.001).

Exploring of the Possibility to Construct the Items for Computer-based Assessment in Mathematics : Focused on Fence Items in PISA2012 or 2015 within an Environment of Dynamic Geometric Software (컴퓨터기반수학평가(CBAM)의 문항 제작 가능성 탐색: 동적 기하소프트웨어 환경에서 PISA2012 또는 2015 울타리 문항을 중심으로)

  • Lee, Seo Bin;Kim, Sun Ho;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.325-344
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    • 2017
  • Since PISA2006, the computer based assessment in mathematics(CBAM) was introduced for the first times and at last PISA2015 used all items in CBAM for problem solving. In this study, we focused on which important properties were considered in constructing geometric 'fence items' used in PISA 2015 to find the future direction over our teacher education, especially for constructing 'computer based assessment items.' For the purpose of the study, we analyzed the fence items on three components such as dependency, invariant, and path found in dragging activities, within a computer environment using the dynamic Geometry Software, GSP. Also, for the future, we provided an open-ended problem related to the fence items, which we could use as the merit of computer-based environment.

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