• Title/Summary/Keyword: 패턴 탐구

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An Analysis of Cognitive Demands of Tasks in Elementary Mathematical Instruction: Focusing on 'Ratio and Proportion' (수학 교수${\cdot}$학습 과정에서 과제의 인지적 수준 분석 - 초등학교 '비와 비율' 단원을 중심으로 -)

  • Kim, Hee-Seong;Pang, Suk-Jeong
    • Journal of Educational Research in Mathematics
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    • v.15 no.3
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    • pp.251-272
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    • 2005
  • Given that cognitive demands of mathematical tasks can be changed during instruction, this study attempts to provide a detailed description to explore how tasks are set up and implemented in the classroom and what are the classroom-based factors. As an exploratory and qualitative case study, 4 of six-grade classrooms where high-level tasks on ratio and proportion were used were videotaped and analyzed with regard to the patterns emerged during the task setup and implementation. With regard to 16 tasks, four kinds of Patterns emerged: (a) maintenance of high-level cognitive demands (7 tasks), (b) decline into the procedure without connection to the meaning (1 task), (c) decline into unsystematic exploration (2 tasks), and (d) decline into not-sufficient exploration (6 tasks), which means that the only partial meaning of a given task is addressed. The 4th pattern is particularly significant, mainly because previous studies have not identified. Contributing factors to this pattern include private-learning without reasonable explanation, well-performed model presented at the beginning of a lesson, and mathematical concepts which are not clear in the textbook. On the one hand, factors associated with the maintenance of high-level cognitive demands include Improvising a task based on students' for knowledge, scaffolding of students' thinking, encouraging students to justify and explain their reasoning, using group-activity appropriately, and rethinking the solution processes. On the other hand, factors associated with the decline of high-level cognitive demands include too much or too little time, inappropriateness of a task for given students, little interest in high-level thinking process, and emphasis on the correct answer in place of its meaning. These factors may urge teachers to be sensitive of what should be focused during their teaching practices to keep the high-level cognitive demands. To emphasize, cognitive demands are fixed neither by the task nor by the teacher. So, we need to study them in the process of teaching and learning.

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Exploring Multidimensional Public Health Data Using Self Organizing Map and GIS (자기조직화지도와 GIS를 이용한 다차원 공중보건자료의 탐구적 분석)

  • Sohn, Chul
    • Spatial Information Research
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    • v.20 no.6
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    • pp.23-32
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    • 2012
  • This study applied an exploratory analysis based on Self Organizing Map and GIS to cause specific age-standardized regional death rates data related to ten types of male cancers to find meaning patterns in the data. Then the patterns revealed from the exploratory analysis was evaluated to investigate possible relationship between these patterns and regional socio-economic status represented by regional educational attainment levels of head of household. The results from this analysis show that SI-GUN-GUs in Korea can be clustered to eighteen unique clusters in the stand point of male cancer death rates and these clusters are also spatially clustered. Also, the results reveal that regions with higher socio-economic status show lower level of the death rates compared with the regions with lower socio-economic status. However, for some cancer types, the regions with higher socio-economic status show relatively higher death rates. These patterns imply that the prevention, detection, and treatment of male cancers might be strongly affected by regional factors such as socio-economic status, environmental factors, and cultures and norms in Korea. Especially, one of the eighteen clusters, which includes Gangnam-Gu and Seocho-Gu, shows lower death rates in many of male cancer types. This implies that socio-economic status may be one of the most influential factors for regional cancer control.

A Case Analysis of Inference of Mathematical Gifted Students in the NIM Game (NIM 게임에서 수학 영재의 필승전략에 대한 추론 사례)

  • Park, Dal-Won
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.405-422
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    • 2017
  • Nim games were divided into three stages : one file, two files and three files game, and inquiry activities were conducted for middle school mathematically gifted students. In the first stage, students easily found a winning strategy through deductive reasoning. In the second stage, students found a winning strategy with deductive reasoning or inductive reasoning, but found an error in inductive reasoning. In the third stage, no students found a winning strategy with deductive reasoning and errors were found in the induction reasoning process. It is found that the tendency to unconditionally generalize the pattern that is formed in the finite number of cases is the cause of the error. As a result of visually presenting the binary boxes to students, students were able to easily identify the pattern of victory and defeat, recognize the winning strategy through game activities, and some students could reach a stage of justifying the winning strategy.

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An Analysis of Effective on Using Calculators in Elementary Mathematics (초등수학에서 계산기 활용에 대한 효과 분석)

  • Ahn Byoung Gon
    • School Mathematics
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    • v.7 no.1
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    • pp.17-32
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    • 2005
  • The purpose of this study is to analyze the effects of calculator use, which is drawing more attention in elementary mathematics, on students' learning of mathematics and to suggest effective ways of using calculators. The present study examined appropriate items commonly used in other papers in the areas of number sense and concepts, problem solving, pattern exploration and reasoning ability. The process of item selection about calculator use were investigated through preservice elementary school teachers' responses to the Questionnaire. The use of calculators In elementary school should be based on teachers' under-standing about why calculators are useful tools for learning mathematics. For more effective use of calculators, more sophisticated experimental studies need to be conducted about selected questions.

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The Contribution of University-business Interaction to Innovation: Bibliometric Analysis (대학과 기업 간 상호협력에 따른 혁신창출 -계량서지학적 분석-)

  • Beck, Yeong Ki
    • Journal of the Economic Geographical Society of Korea
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    • v.15 no.4
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    • pp.493-514
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    • 2012
  • Research collaboration between industry and universities is high on many policy agenda's nowadays, especially with regard to science-based technological innovation. Nonetheless, there have been few attempts at examining large-scale systematic and quantitative data on the nature and extent of university-industry collaborations. The objective of this paper is to explore the patterns and trends of research collaborations between universities and companies for scientific knowledge production in the seven science-based technologies. This paper uses co-authored articles published in major scientific journals in the world as an indicator of collaborative scientific research between universities, companies and governmental research institutes. The tens of thousands of co-authorship papers in the northeast region in the US over the years 2006 to 2010 were analyzed for collaboration patterns and their spatial characteristics. This paper finds that there were increases both in the proportions of multiple authored, particularly five or more, papers, and in the volume of international collaborations. By examining a type of collaborations between different institutions, research collaboration between universities and companies in this region is relatively high share at national level. This suggests that the national or even international scale seems more appropriate for innovation policies.

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A Spatial Analysis of Research Collaboration by Using Co-authorship Publications (공동저술 논문을 이용한 연구협력에 대한 공간적 분석)

  • Beck, Yeong Ki
    • Journal of the Korean Geographical Society
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    • v.50 no.6
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    • pp.641-657
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    • 2015
  • Nowadays research collaboration between the business, academic and governmental community is high on the policy agenda in all over the world, especially with regard to science-based technological innovation. The aim of this paper is to explore some of the changing spatial patterns of research collaboration by carrying out bibliometric analysis of co-authorship publications in major international and scientific journals that are jointly realized by Korean scientists and researchers in the seven science-based technologies for the period 2002~2012. Using the co-authored papers as an indicator of research collaboration with the institutional address of each co-authoring researcher and the geographic location of their affiliation, this paper describes some trends and patterns of domestic and international research collaborations. Identifying a rapid increase in the volume of co-authored papers and the trend towards multiple authorships over the last decade, the paper finds collaborative scientific research to be geographically dispersed at the different spatial scales. Despite the rising geographic dispersion of research collaboration within the nation, this paper finds that there were empirical evidences for the presence of localized knowledge production processes at regional level, and biased knowledge flows towards core areas with advanced research resources.

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Developing a Material Topic and some Questions with Blackout Game for the Mathematically Gifted Students'' R&E (흑백게임을 활용한 수학영재들의 R&E 연구 소재 개발)

  • Song, Chang-Woo;Song, Yeong-Moo
    • School Mathematics
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    • v.12 no.3
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    • pp.337-351
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    • 2010
  • Blackout game on a certain size of the Go table, which looks simple, involves a variety of mathematical modeling. This study uses a research and education method. While the mathematically gifted students were playing blackout game, the author, as the instructor, observed the ways in which they approached various mathematical models. Based on the data, this study examines the effects of blackout game on the children's cognitive processes. This study further discusses the issues of questions.

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Relation between folding and unfolding paper of rectangle and (0,1)-pattern (사각형 종이의 접고 펼친 흔적과 (0,1)-패턴의 관계성)

  • Lee, Sung-Gye;Kim, Jin-Soo;Choi, Won
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.507-522
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    • 2009
  • In general, we do fold paper and unfold, it remain paper traces. We can be obtained by using rectangular paper, a mathematical fact and the program had a combination. Depending on the direction of the rectangle, folding paper in the form of variety shows valley and ridge signs of the appearance of this paper. By using (0,1)-code and (0,1)-matrix, we study four kinds of research. Therefore, traces of this view upside down rectangle folding paper how to fold inductive reasoning ability of the code and explore the relationship of traces. Finally, the mathematical content and program development can practice in the field.

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Advancing Societal Statistics Processing Methodology through Artificial Intelligence: A Case Study on Household Trend Survey and Time Use Survey (인공지능 기반 사회 통계 생산 방법론 고도화 방안: 가계동향조사와 생활시간조사 사례)

  • Kyo-Joong Oh;Ho-Jin Choi;Ilgu Kim;Seungwoo Han;Kunsoo Kim
    • Annual Conference on Human and Language Technology
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    • 2023.10a
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    • pp.563-567
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    • 2023
  • 본 연구는 한국 통계청이 수행하는 가계동향조사와 생활시간조사에서 자료처리 과정 및 방법을 혁신하려는 시도로, 기존의 통계 생산 방법론의 한계를 극복하고, 대규모 데이터의 효과적인 관리와 분석을 가능하게 하는 인공지능 기반의 통계 생산을 목표로 한다. 본 연구는 데이터 과학과 통계학의 교차점에서 진행되며, 인공지능 기술, 특히 자연어 처리와 딥러닝을 활용하여 비정형 텍스트 분류 방법의 성능을 검증하며, 인공지능 기반 통계분류 방법론의 확장성과 추가적인 조사 확대 적용의 가능성을 탐구한다. 이 연구의 결과는 통계 데이터의 품질 향상과 신뢰성 증가에 기여하며, 국민의 생활 패턴과 행동에 대한 더 깊고 정확한 이해를 제공한다.

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On the design of a teaching unit for the exploration of number patterns in Pascal graphs and triangles applying theoretical generalization. (이론적 일반화를 적용한 파스칼 그래프와 삼각형에 내재된 수의 패턴 탐구를 위한 교수단원의 설계)

  • Kim, Jin Hwan
    • East Asian mathematical journal
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    • v.40 no.2
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    • pp.209-229
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    • 2024
  • In this study, we design a teaching unit that constructs Pascal graphs and extended Pascal triangles to explore number patterns inherent in them. This teaching unit is designed to consider the diachronic process of teaching-learning by combining Dörfler's theoretical generalization model with Wittmann's design science ideas, which are applied to the didactical practice of mathematization. In the teaching unit, considering the teaching-learning level of prospective teachers who studied discrete mathematics, we generalize the well-known Pascal triangle and its number patterns to extended Pascal triangles which have directed graphs(called Pascal graphs) as geometric models. In this process, the use of symbols and the introduction of variables are exhibited as important means of generalization. It provides practical experiences of mathematization to prospective teachers by going through various steps of the generalization process targeting symbols. This study reflects Wittmann's intention in that well-understood mathematics and the context of the first type of empirical research as structure-genetic didactical analysis are considered in the design of the learning environment.