• 제목/요약/키워드: problem-solving activities

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A Case Study of Procedural and Conceptual Knowledge Construction in the Computer Environments

  • Lee, Joong-Kwoen
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권2호
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    • pp.81-93
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    • 2004
  • This study investigated three preservice teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of preservice teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

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수학 영재아의 문제해결 활동에 대한 메타정의적 관점에서의 특성 분석 (Analysis of characteristics from meta-affect viewpoint on problem-solving activities of mathematically gifted children)

  • 도주원;백석윤
    • 한국수학교육학회지시리즈A:수학교육
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    • 제58권4호
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    • pp.519-530
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    • 2019
  • 선행연구에 의하면 수학 학습활동에서 인지적, 정의적 요소들 사이의 상호작용에 기반하는 메타정의는 메타인지와 유사한 방식으로 학습자의 수학적 능력과 긴밀한 역학적 관련성을 유지한다. 본 연구에서는 이러한 특성을 현상학적으로 파악하기 위하여 초등학교 5학년 수학 영재아의 소집단 문제해결 사례를 메타정의적 관점에서 분석하였다. 그 결과 수학 영재아의 인지적, 정의적 특성이 메타정의적 활동을 통해 문제해결 활동에 나타나고 있음을 알 수 있으며, 특히 문제해결자의 정의적 역량은 정서나 태도 형태의 메타정의로 문제해결 활동에 작용함을 알 수 있었다.

수학 탐구학습에서 지식 형성에 대한 연구 (Knowledge Construction on Mathematics Problem Solving)

  • 이중권
    • 한국수학사학회지
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    • 제17권3호
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    • pp.109-120
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    • 2004
  • 이 연구는 학과 과제와 기말 프로젝트에 있는 문제들 중에서 컴퓨터를 활용하여 수학적 문제 해결을 해 가는 세 명의 예비 교사를 연구 조사하였다 모든 연구 참여자들의 활동과 컴퓨터를 활용한 문제 해결 과정을 관찰하고 촬영하였다. 가능한 경우 예비 교사들의 탐구활동 전과 후 및 탐구활동 중에 개별적인 면담을 하였다. 자료수집 방법은 관찰, 면담, 현장 기록, 제출과제, 컴퓨터 작업, 오디오와 비디오 테이프를 사용하였다. 수학적 문제 해결 초기 단계에서는, 모든 연구 참여자들이 그래프와 데이터를 사용하여 모델 만들기, 사인 함수의 일반적 개념에 대하여 절차적 지식과 개념적 지식이 약하게 형성되어 있었으나 컴퓨터를 활용한 수학적 문제 해결 활동을 통하여 그들은 절차적 지식과 개념적 지식을 강하게 구성하였고 그들을 적절하게 연계시킬 수 있었다

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자율적 규칙정하기와 규칙지키기 활동이 유아의 대인문제 해결사고에 미치는 영향 (The Effects of Autonomous Rule-Making and Rule-Keeping Activities on Young Children's Interpersonal Cognitive Problem Solving)

  • 최기영;조부경;우수경
    • 아동학회지
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    • 제21권1호
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    • pp.3-17
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    • 2000
  • This study investigated the effects of autonomous rule-making and rule-keeping activities on young children's interpersonal cognitive problem solving. The 20 five-year-old children in the experimental group participated in 6-step activities for autonomous rule-making and rule-keeping. The interpersonal cognitive problem solving Test was used to measure children's interpersonal cognitive problem solving thinking. The results of the ANCOVA revealed a significant difference between experimental and control groups in children's interpersonal cognitive problem solving thinking but not in alternative solution thinking.

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산업체 애로기술을 활용한 TRIZ 기반 창의적문제해결방법론 교과목 개선 (Improvement of Creative Solving Problem Method Curriculum based TRIZ Using Industrual Bottleneck Techniques)

  • 이재경
    • 공학교육연구
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    • 제24권3호
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    • pp.58-69
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    • 2021
  • It is very necessary to have a creative problem-solving capacities to learn various majors and liberal arts based on the major, and to solve the bottleneck techniques led by students. In this study, the existing creative problem-solving curriculums, 'Methodology of Inventive Problem Solving' based on TRIZ, were improved and applied, and industrial bottleneck techniques were provided to students to solve these techniques. To improve the curriculum, 1) improvement of instructional objectives and learning contents, 2) improvement of evaluation methods and contents (reflecting the evaluation of instructor and students), and 3) learning satisfaction survey were conducted in the following order. As a result of the application of the improved curriculum, the level of activities for each team was improved, and when the core process was well understood, the evaluation of team activities was also excellent, but there was a tendency to focus on methods that are relatively easy to apply in the problem solving process. In the final exam (learning contents evaluation), teams with difficult understanding of the TRIZ theory or low team activities showed a relatively high trend, but the difference in level between divisions was slightly reduced.

'문제해결' 관점에서의 GSP활용 (A Study on the GSP in the Viewpoint of Problem Solving)

  • 김남희
    • 대한수학교육학회지:학교수학
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    • 제4권1호
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    • pp.111-125
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    • 2002
  • In this study, we studied some examples using GSP(Geometer's SketchPad) in the process of problem solving that is explained by G. polya. After reconsidering examples, we tried to show that using GSP can help student's intuitive thinking, investigative activities, reflective thinking. Especially, in the three phase of problem solving(understanding the problem, devising a plan, looking back), mathematics teachers may using GSP in order to helping student's understanding. Besides, we tried to suggest the direction to use GSP more adequately in the teaching and Beaming mathematics. First of all, Mathematics teachers using GSP in their class must have ideas how to use it. And they have to be careful on the didactical transposition of mathematical knowledge in the computer-based learning. They also have to lead students move from activities with GSP materials to carrying out the problem solving plan and reflection activities.

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수학교과역량에 기반한 학습자의 토론 능력 향상 방안 탐색 (Exploring Student's Ability to Improve Debate Based on Mathematics Competencies)

  • 김수철
    • 예술인문사회 융합 멀티미디어 논문지
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    • 제8권12호
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    • pp.1-10
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    • 2018
  • 본 연구에서는 학습자의 토론 능력을 향상시킬 수 있는 방안을 모색하기 위하여 중학교 국어과 토론 수업에서 요구되는 수학교과역량을 분석하였다. 분석 결과, 리서치 활동에서는 창의성과 정보처리 능력을, 입안 활동에서는 문제해결력과 창의성, 정보처리 능력을, 반박 활동에서는 추론과 창의성, 정보처리 능력을, 요약 활동에서는 문제해결과 추론, 정보처리 능력을, 교차질의 활동에서는 문제해결과 추론, 정보처리, 그리고 창의성을, 마지막 초점에서는 창의성을, 판정 및 총평에서는 문제해결과 추론 능력을, 준비시간 활동에서는 문제해결, 추론, 정보처리 능력을 각각 요구하고 있다. 수학교과역량이 부족한 학생들은 토론 수업에서 자신의 주장을 펼치거나 상대방의 주장을 논리적으로 반박하는 것을 어려워하며, 논의된 내용들을 구조화시키고 쟁점을 도출하는 활동에도 어려움을 겪고 있다. 따라서 학습자의 토론 능력을 향상시키기 위해서는 문제해결, 추론, 정보처리, 창의성 등과 같은 수학교과역량의 신장도 함께 요구된다고 하겠다.

Thinking Science 프로그램 중 분류활동이 초등학교 5학년 학생의 분류문제해결능력에 미치는 영향 (The Effect of the classification problem solving of Thinking Science Program on the Classified Activities on Elementary School 5th grade category)

  • 이성현;한신
    • 대한지구과학교육학회지
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    • 제4권2호
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    • pp.102-107
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    • 2011
  • In this study, elementary school science program, this category did not affect any troubleshooting analyzed. Thinking Science Program to buy for them in group activities by using one of the elements of a program of treatment and cognitive level effects were two kinds of research questions. 102, 5th grade four classes were involved, these two classes of the experimental group and the remaining two classes were divided into a control group. Pre-test between the two groups is compared to the level and classification problem-solving skills but the skills did not show a statistically significant difference. Thinking Science activity after application of classification and posttest the experimental group than in the control group problem solving abilities of students classified at the level of statistical significance was higher. Thinking Science program is a treatment effect for each level of analysis, tests, regardless of cognitive level was more effective. Through theses findings, Thinking Science activities 5th grade category classification problem-solving skills of students found to be effective in improving and these types of programs actively introduced in the field suggests that we need to see.

교구로봇을 활용한 활동이 유아의 논리-수학적 지식과 창의적 문제해결능력에 미치는 영향 (The Effect of Activities using Hands-on Robots on Logic-Mathematical Knowledge and Creative Problem-Solving Ability of Young Children)

  • 김상언;김상희;장지은
    • 로봇학회논문지
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    • 제12권3호
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    • pp.287-296
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    • 2017
  • Robots are used in early childhood education as a new instructional media, and educational activities using robots have been increased. So the purpose of this study is to investigate the effect of educational activities using hands-on robots on logic-mathematical knowledge and creative problem-solving ability of young children. The total number of subjects was 43, and they were all five-year-old children. The experimental group and control group did activities with hands-on robots and general free activities, respectively. Results using ANCONA have shown that the activities with hands-on robots positively affected logic-mathematical knowledge and creative problem-solving ability of young children. These meaningful results have shown the possibility of early childhood educational use as the effectiveness of hands-on robots has come out.

유아 수학에서의 문제해결에 대한 이론적 고찰 (Establishing a Theoretical Rationale for Mathematical Problem Solving in Early Childhood Education)

  • 김은정;이정욱
    • 아동학회지
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    • 제28권4호
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    • pp.319-331
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    • 2007
  • This review of literature establishes a contemporary meaning of mathematical problem solving including young children's mathematical problem solving processes/assessments and teaching strategies. The contemporary meaning of mathematical problem solving involves complicated higher thinking processes. Explanations of the mathematical problem solving processes of young children include the four steps suggested by $P{\acute{o}}lya$(1957) : understand the problem, devise a plan, carry out the plan, and review/extend the plan. Assessments of children's mathematical problem solving include both the process and the product of problem solving. Teaching strategies to support children's mathematical problem solving include mathematical problems built upon children's daily activities, interests, and questions and helping children to generate new approaches to solve problems.

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