• 제목/요약/키워드: open-ended problems

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The Textbook Analysis on Probability: The Case of Korea, Malaysia and U.S. Textbooks

  • Han, Sun-Young;Rosli, Roslinda;Capraro, Robert M.;Capraro, Mary M.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권2호
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    • pp.127-140
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    • 2011
  • "Statistical literacy" is important to be an effective citizen ([Gal, I. (2005). Towards "probability literacy" for all citizens: Building blocks and instructional dilemmas. In: G. A. Jones (Ed.), Exploring probability in school: Challenges for teaching and learning (pp. 39-63). New York: Springer]). Probability and statistics has been connected with real context and can be used to stimulate students' creative abilities. This study aims at identifying the extent that textbooks in three countries include experimental probability concepts and non-routine, open-ended, application and contextual problems. How well textbooks reflect real application situations is important in the sense that students can employ probability concepts when solving real world problems. Results showed that three textbook series did not mention experimental probability. Furthermore, all of text-books had more routine, close-ended, knowing, and non-contextual problems.

The 'Open Approach' to Teaching School Mathematics

  • Becker Jerry P.
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2006년도 제37회 전국수학교육연구대회 프로시딩
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    • pp.45-62
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    • 2006
  • The open approach to teaching school mathematics in the United States is an outcome of the collaboration of Japanese and U.S. researchers. We examine the approach by illustrating its three aspects: open process (there is more than one way to arrive at the solution to a problem; 2) open-ended problems (a problem can have several of many correct answers), and 3) what the Japanese call 'from problem to problem' or problem formulation (students draw on their own thinking to formulate new problems). Using our understanding of the Japanese open approach to teaching mathematics, we adapt selected methods to teach mathematics more effectively in the United States. Much of this approach is new to U.S. mathematics teachers, in that it has teachers working together in groups on lesson plans, and through a series of discussions and revisions, results in a greatly improved, effective plan. It also has teachers actively observing individual students or groups of students as they work on a problem, and then later comparing and discussing the students' work.

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개방형 기하 문제에서 학생의 드래깅 활동을 통해 나타난 수학적 추론 분석 (Students' Mathematical Reasoning Emerging through Dragging Activities in Open-Ended Geometry Problems)

  • 양은경;신재흥
    • 대한수학교육학회지:수학교육학연구
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    • 제24권1호
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    • pp.1-27
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    • 2014
  • 본 연구는 개방형 기하 문제에서 드래깅 활동을 통해 나타난 중학교 3학년 학생들의 사고 과정을 가추법, 귀납법, 연역법을 중심으로 분석하였다. 본 연구의 결과는 다음과 같다. 첫째, 학생들은 자신의 가설을 도입하기 위해 가추법을 사용하고, 다양한 사례를 통해 가설을 일반화하기 위해 귀납법을 사용하며, 가설의 근거를 설명하기 위해 연역법을 사용하였다. 둘째, '임의적 드래깅'과 '안내된 드래깅'은 학생들의 가추 과정에서 가설을 마련하는데 도움이 되었으며, '드래깅 검증'은 학생들의 귀납 과정에서 가설을 확신하고 일반화하는 데 사용되었다. 셋째, 학생들은 도형을 고정된 것으로 생각하거나 종속 관계나 경로의 개념을 쉽게 인식하지 못하거나 개연적 추론에서 연역법으로 부드럽게 나아가지 못하거나 순환논리에 빠지는 인지적 어려움을 겪었다.

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수학 교수.학습에서의 암호산술 문제의 활용 가능성에 관한 연구 (A Study on Possibility of Practical Use of Cryptarithmetic Problems in Teaching and Learning of Mathematics)

  • 박교식
    • 대한수학교육학회지:학교수학
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    • 제2권2호
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    • pp.333-355
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    • 2000
  • In this paper, possibility of practical use of cryptarithmetic problems in teaching and learning of mathematics is discussed. There might be seven cases to use them practically like followings: (1) Cryptarithmetic problems might be used for deepening the mathematical knowledges. (2) Cryptarithmetic problems might be used for fostering mathematical thinking abilities. (3) Cryptarithmetic problems might be used for fostering problem solving abilities. (4) Cryptarithmetic problems might be used as open ended problems. (5) Cryptarithmetic problems might be used as materials for personalized learning. (6) Cryptarithmetic problems might be used as materials for cooperative learning. (7) Cryptarithmetic problems might be used as materials for problems posing.

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창의성 신장을 위한 초등수학 과제의 유형 (Mathematical Task Types to Enhance Creativity)

  • 박만구
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제14권2호
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    • pp.117-134
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    • 2011
  • 본 연구의 목적은 초등학교 수학과 교수학습에서 창의성 신장을 위하여 초등학교 교실에서 활용이 가능한 수학 과제의 유형을 분류하여 제시하는 것이다. 본 연구에서는 창의성이 풍부한 과제의 제시를 학생들의 창의적 사고를 신장시키는데 가장 중요한 부분의 하나로 보고 창의성 신장을 위한 과제의 특성과 이들을 유형별로 분류하였다. 이를 위해 그 동안 창의성과 관련하여 연구되어 온 논문과 자료들을 분석하기 위하여 미국 조지아대학의 GIL과 국내의 논문 탐색을 통하여 창의성 관련 자료를 추출하여 분석하였다. 분석 결과 수학 과제를 창의성의 요소인 독창성, 융통성, 유창성, 정교성, 민감성의 5가지의 속성을 포함하는 4가지 표현 방식에 16과제의 유형으로 분류할 수 있었다. 그리고 과제 유형과 함께 학생들의 창의성 신장을 효과적으로 돕기 위해 고려해야 할 사항들을 제안을 하였다.

A Study of Selecting Problems for the Strategies Recognition of Problem Solving in School Mathematies

  • 최순만
    • 대한수학교육학회지:수학교육학연구
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    • 제8권1호
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    • pp.31-39
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    • 1998
  • In this study the types of strategies, the reasonable method of the selection of the problem for the recognition of the strategies and the presentation of the problems based on the types of the strategies are explored. The strategies can be used in elementary, middle or high school mathematics. But it can't be expected that students use the strategies unfamiliar to them, so it is necessary to select the strategies applicable according to the degree of the student's affective and cognitive abilities. And it is desirable to select the problems for the recognition of the strategy such as nonroutine problems and open-ended problems, but more study is needed in these areas.

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지역 환경 문제 해결을 위한 시뮬레이션 게임 (A Study on the Simulation Game Design for the Problem Solving of Regional Environment Problems)

  • 유혜연;이동엽;최석진
    • 한국환경교육학회지:환경교육
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    • 제15권1호
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    • pp.125-136
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    • 2002
  • The ultimate goal of environmental education is to train the civilian who positively participates in solving environmental problems. To do above, not only accurate knowledge but also right value about environmental problems are needed. It is reasonable decision making that choose the first of all alternatives to solve the problems by accurate knowledge and right value of an individual. Teaching reasonable decision making in environmental education is related to raise the participant civilian toward regional environmental problem solving Simulation game helps that students have a opportunity to practice decision making skills about regional problems and give self-confidence to their decision making ability. So, the aim of this study is to present simulation games which is fit to elementary environmental education. The first one is for group decision making, the second one is for individual decision making. These can make a conclusion, winner and loser of games. But last one is open-ended game and aims to make explicit a variety of opinions, issues and conflicts to problem.

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학교수학 지도에 대한 '개방적 접근(Open Approach)'

  • Becker Jerry P.
    • 한국수학교육학회:학술대회논문집
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    • 한국수학교육학회 2006년도 제37회 전국수학교육연구대회 프로시딩
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    • pp.63-78
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    • 2006
  • 미국에서 학교 수학 수업에서의 개방적 접근은 일본과 미국 연구자들의 공동연구의 결과물이다. 우리는 그것에 대한 세 가지의 측면을 실례로 살펴보면 접근을 시도하겠다. : 1) 개방된 과정(open process)(문제의 해답에 이르는 방법이 여러 가지이다: 2) 개방형 문제(open-ended problems)(문제에 대한 정답이 여러 가지가 될 수 있는 문제), 3) 일본에서 '문제로부터 문제(from problem to problem)'라고 불리는 것 혹은 문제고안(problem formulating)하기(학생들이 새로운 문제를 명확하게 나타내기 위해 자신의 생각을 써 내려 가는 것)수학 지도에서 일본의 개방적 접근에 대한 우리의 이해를 바탕으로, 우리는 미국에서 보다 효과적인 수학 지도를 위한 몇 가지 방법을 선택 적용해 보았다. 이러한 접근의 대부분은 학습 계획안을 만들 때 여러 교사가 함께 참여하고 일련의 토론과 수정과정을 거친 뒤, 많은 부분이 개선되고 효과적인 계획안을 만들어 낸다는 점에서 미국의 수학교사들에게 새로운 것이다. 또한 이 접근법에서는 교사가 문제를 해결하는 과정에서 학생 개개인이나 그룹을 활동적으로 관찰하여 그들의 활동을 비교하고 토론한다.

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간호사의 암환자 통증관리 및 통증지식에 관한 연구 (Pain management and Pain knowledge of Nurses)

  • 최소영
    • 종양간호연구
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    • 제4권1호
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    • pp.82-90
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    • 2004
  • Purpose: This study is part of questionnaire survey concerned with the views of nursing staff for cancer patients. This study was done to describe cancer pain management problem, pain management knowledge. Methods: The participants were 188 nurses at cancer ward. Data were collected from July 2003 to August 2003. Data were collected with multiple-choice items and one open-ended question, which were constructed structured questionnaire. The data were analyzed by means of SPSS statistical software and content analysis. Results: Experiences of pain education are 53.7%, pain assessment sheet not use 86%, pain management status are partial. Education need of pain management was 87.8% patients in pain were very often(23.9%) or rather often (35.1%) cancer patients. The nurses are respond to open question. Pain management problems as assessed by nurses are categorized 11 item. The health professional problems are Knowledge deficit pain management, Incontrollable pain, Doctor's busy. The patient problems afraid of narcotics for addiction, side effect, distinguishing between physical and suffering, economical problem. The scores of knowledge about pain was average 16.7 score. The pain knowledge showed significant correlation education need(r=.180, p=.013). The effective variable was need of $education({\beta}=.163)$. Conclusion: It was found that pain knowledge was middle score and pain management problem was multiple. The study highlights the need to increase pain education for health professional. Therefore, This study suggest that health professionals education should be done to improve pain management problem.

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Wavelet 변환의 전자기학적 응용 (Application of wavelet transform in electromagnetics)

  • Hyeongdong Kim
    • 전자공학회논문지A
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    • 제32A권9호
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    • pp.1244-1249
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    • 1995
  • Wavelet transform technique is applied to two important electromagnetic problems:1) to analyze the frequency-domain radar echo from finite-size targets and 2) to the integral solution of two- dimensional electromagnetic scattering problems. Since the frequency- domain radar echo consists of both small-scale natural resonances and large-scale scattering center information, the multiresolution property of the wavelet transform is well suited for analyzing such ulti-scale signals. Wavelet analysis examples of backscattered data from an open- ended waveguide cavity are presented. The different scattering mechanisms are clearly resolved in the wavelet-domain representation. In the wavelet transform domain, the moment method impedance matrix becomes sparse and sparse matrix algorithms can be utilized to solve the resulting matrix equationl. Using the fast wavelet transform in conjunction with the conjugate gradient method, we present the time performance for the solution of a dihedral corner reflector. The total computational time is found to be reduced.

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