• Title, Summary, Keyword: 문제해결과정

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중학생들의 유추에 의한 수학적 문제 해결 과정 : 사상의 명료화를 중심으로

  • Lee, Jong-Hui;Lee, Jin-Hyang;Kim, Bu-Mi
    • Communications of Mathematical Education
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    • v.16
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    • pp.245-267
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    • 2003
  • 수학적 문제 해결은 수학 교육에서 중요한 이슈이고 문제 해결 전략으로서의 유추를 주제로 본 연구에서는 중학생들을 대상으로 단순히 유사한 문제를 제시하는 것만으로 문제 해결에 성공을 할 수 있는지, 문제 해결에 성공을 할 수 없다면 중학생들에게 어떤 과정을 제시해야만 문제 해결 과정에서 유추를 사용하여 문제를 해결 할 수 있는지를 알아보고자 한다. 이를 위하여 본 연구에서는 유추에 의한 문제 해결과정을 표상 형성, 인출, 사상, 적합성, 스키마 형성의 과정으로 보고, 이러한 과정 중 사상 단계에서 사상 과정의 명료화를 중심으로 학생들의 유추 추론에 의한 문제해결 과정을 탐구하였다. 연구 결과, 유추 추론 과정에서 근거 문제만을 제시하는 것은 목표 문제를 해결하는데 유추 추론의 성공을 보장한다고 할 수 없었으며, 근거 문제가 제시되었는데도 목표 문제를 해결하지 못하는 경우 사상 과정을 명료화하자 목표 문제를 성공적으로 해결하였다. 또한 학생들은 목표 문제의 성공 이후 유사한 새로운 목표문제를 푸는데 성공하였다.

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A Study on the Improvement of Problem-solving in Elementary Mathematics Textbooks - Focusing on Polya's Problem Solving - (초등 수학 교과서에서 문제해결 지도의 개선점과 개선 방향 -Polya의 문제해결을 중심으로-)

  • Ahn, Byounggon
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.405-425
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    • 2018
  • Increasing the problem solving power in school mathematics is the most important task of mathematics education. It is the ultimate goal of mathematics education to help students develop their thinking and creativity and help solve problems that arise in the real world. In this study, we investigated the contents of problem solving according to mathematics curriculum goals from the first curriculum to current curriculum in Korea. This study analyzed the problem-solving contents of the mathematics textbooks reflecting the achievement criteria of the revised curriculum in 2015. As a result, it was the first curriculum to use the terminology of problem solving in the mathematics goal of Korea's curriculum. Interest in problem solving was most actively pursued in the 6th and 7th curriculum and the 2006 revision curriculum. After that, it was neglected to be reflected in textbooks since the 2009 revision curriculum, We have identified the problems of this problem-solving instruction and suggested improvement direction.

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Analysis of Engineering Students' Characteristics in Design Problem Solving (설계 문제의 해결 과정에서 나타나는 공과대학생의 문제해결 특성 분석)

  • Rho, Tae-Cheon;Kim, Young-Jong;Kim, Tae-Hoon
    • Journal of Engineering Education Research
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    • v.9 no.4
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    • pp.46-62
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    • 2006
  • The purpose of this study is to identify characteristics which are related with design problem solving. For this, an effective problem solver and an ineffective problem solver have been compared and analyzed in terms of the process of design problem solving with a population of students who are enrolled in College of Engineering. This study can be concluded as follows. First, the process of design problem solving was performed in non-linear form and it was varied depending on individuals. Second, the results of problem solving could be varied according to the qualitative level of performance in each stage rather than according to the differences of consumption time by each stage. Third, the main activities in process of design problem solving were identifying a design brief, identifying requirements, exploring a problem solution, and idea modeling. Fourth, the making activities took place most frequently and the longest time in the entire process, meanwhile exploring a problem solution was related to the results of design problem solving.

Expert-novice differences of mental representation and problem solving strategy in mechanics problems (물리 문제에 있어서 전문가-초보자 간의 내적표상과 해결방안의 차이)

  • Park, Yun-Bae
    • Journal of The Korean Association For Science Education
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    • v.8 no.2
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    • pp.43-52
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    • 1988
  • 과학교육에서의 문제해결력의 강조는 그 긴 역사를 가지고 있으나, 인지 심리학에서의 정보처리 모형을 사용한 문제해결과정의 분석이 사용되면서 그 교수가능성이 높아지고 있다. 본 연구는 하나의 탐색연구로써 학습자들이 물리문제를 해결하려는 과정에서 그 문제를 자기나름으로 이해하여 만든 내적표상과 동원한 해결방안이 문제해결에 어떤 관련이 있는지를 알아내보려고 한다. 물리전공 박사과정 학생 3명을 전문가로, 고등학생 2명과 대학 1년생 4명, 모두 6명을 초보자로 삼아 역학내용을 다룬 세 문제를 소리내어 푸는 과정을 개인별로 녹음하여 그 문제해결과정들을 분석하였으며, 학생들의 사고수준을 알기위해 사고 수준검사가 실시 되었다. 주로 질적 분석을 사용했으나 그 결론을 뒷받침하기위해 비모수통계방법이 사용되었다. (유의수준 . 10) 밝혀진 결론은 다음과 같다. 1) 내적표상은 피험자와 문제에 따라 각각 달랐다. 초보자들은 모두 한가지 표상을 세 문제에 걸쳐 계속 사용한데 반해, 2명의 전문가는 문제에 따라 다른 표상을 사용하였다. 이러한 표상의 형태에 따라 문제해결결과가 달랐다. 즉,일-에너지 표상형태를 사용한 피험자가 더 나은 결과를 얻는것으로 나타났다. 2) 문제해결방안에 있어서는 전문가들은 세문제에 걸쳐 계속하여 지식-개발 방안을 사용하였으나 초보자들은 문제에 따라 다른 방안들을 동원하였다. 지식-개발 방안을 사용한 경우가 다른 것들에 비해 더 나은 결과를 얻는 것으로 나타났다. 3) 사고 수준검사(하위검사 또는 전체)의 접수와 문제해결과정 변인들-특히 내적표상의 형태, 문제해결방안의 종류, 목표확인 그리고 문제 해결력-간에는 유의미한 관련이 있는 것으로 나타났다. 4) 그외 속도와 가속도 개념의 혼동, 마찰력 개념의 부정확 등이 공통적으로 범하는 실수였다. 본 연구가 과학교육 실제에 주는 함의로는 내적표상, 문제해결방안의 훈련을 통한 문제해결력의 향상을 들 수 있겠으며 이를 위한 세부연구가 실행되어야 할 것이다.

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SEM-CT: Comparison of Problem Solving Processes in Science(S), Engineering(E), Mathematic(M), and Computational Thinking(CT) (SEM-CT: 과학(S), 공학(E), 수학(M)적 문제해결과정과 컴퓨팅 사고(CT))

  • Nam, Younkyeong;Yoon, JinA;Han, KeumJoo;Jeong, JuHun
    • The Journal of Korean Association of Computer Education
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    • v.22 no.3
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    • pp.37-54
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    • 2019
  • The main purpose of STEM education is to understand methods of inquiry in each discipline to develop convergent problem solving skills. To do this, we must first understand the problem-solving process that is regarded as an essential component of each discipline. The purposes of this study is to understand the relationship between the problem solving in science (S), engineering (E), mathematics (M), and computational thinking (CT) based on the comparative analysis of problem solving processes in each SEM discipline. To do so, first, the problem solving process of each SEM and CT discipline is compared and analyzed, and their commonalities and differences are described. Next, we divided the CT into the instrumental and thinking skill aspects and describe how CT's problem solving process differs from SEM's. Finally we suggest a model to explain the relationship between SEM and CT problem solving process. This study shows how SEM and CT can be converged as a problem solving process.

A Study on Student's Processes of Problem Solving Using Open-ended Geometric Problems in the Middle School (중학교 기하단원의 개방형문제에서 학생의 문제해결과정의 사고 특성에 관한 연구)

  • ChoiKoh, Sang-Sook;Noh, Ji-Yeon
    • Journal of the Korean School Mathematics Society
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    • v.10 no.3
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    • pp.303-322
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    • 2007
  • This study is to investigate student's processes of problem solving using open-ended Geometric problems to understand student's thinking and behavior. One 8th grader participated in performing her learning in 5 lessons for June in 2006. The result of the study was documented according to Polya's four problem solving stages as follows: First, the student tended to neglect the stage of "understanding" a problem in the beginning. However, the student was observed to make it simplify and relate to what she had teamed previously Second, "devising a plan" was not simply done. She attempted to solve the open-ended problems with more various ways and became to have the metacognitive knowledge, leading her to think back and correct her errors of solving a problem. Third, in process of "carrying out" the plan she controled her solving a problem to become a better solver based on failure of solving a problem. Fourth, she recognized the necessity of "looking back" stage through the open ended problems which led her to apply and generalize mathematical problems to the real life. In conclusion, it was found that the student enjoyed her solving with enthusiasm, building mathematical belief systems with challenging spirit and developing mathematical power.

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The Research on PBL Application in Mathematics Method Course (문제중심학습(PBL)에서 초등예비교사들의 문제해결과정)

  • Lee, Kwang-Ho;Jang, Eun-Ha
    • Education of Primary School Mathematics
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    • v.15 no.2
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    • pp.91-106
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    • 2012
  • This study reports pre-service teachers' problem solving process on the problem-based learning(PBL) employed in an elementary mathematics method course. The subjects were 6 pre-service teachers(students). The data were collected from classroom observation. The research results were described by problem solving stages. In understanding the problem stage, students identified what problem stand for and made a problem solving planned sheet. In curriculum investigation stage, students went through investigation and re-investigation process for solving the task. In problem solving stage, students selected the best strategy for solving the task and presented and shared about problem solving results.

Reconsideration of Teaching Mathematics Problem Solving in Elementary School (초등학교 수학과 문제해결 교육 재고)

  • Jeong, Eun-sil
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.2
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    • pp.123-141
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    • 2015
  • The purpose of this study is to reconsider of teaching mathematics problem solving in Korea's elementary school through an analysis of mathematics curricula and mathematics textbooks of the elementary school. As a result, it is found that the problem solving had been emphasized continually from the 4th curriculum to the 2009 revised curriculum. However, contents in their textbooks did not reflect the intent of the mathematics curricula properly. And amount of contents related to teaching about problem solving in the textbooks reached the peak in the 6th mathematics curriculum. Then teaching about problem solving had been weakened gradually. And it is also revealed that there had been a movement to change to teaching for problem solving in the textbooks of the 2007 and 2009 revised curricula. Teaching via problem solving had not been carried out appropriately so far.

The Impact of the Perceived Level of Problem Solving on the Performance of Project Completeness in Programming Education (EPL을 활용한 프로그래밍 교육에서 문제해결 수준이 프로젝트 완성도에 미치는 영향)

  • Jang, Yun-Jae;Kim, Ja-Mee;Lee, Won-Gyu
    • The Journal of Korean Association of Computer Education
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    • v.14 no.6
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    • pp.41-51
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    • 2011
  • Informatics curriculum has been revised for informatics principles and concepts to effectively teach. According to the revised curriculum, researches are verifying the educational effects of algorithmic thinking and problem-solving abilities using programming language by applying it to various area. However, researches in programming education considering the level of student are yet incomplete. This research has analyzed the impact of the perceived level of problem solving on the performance of project completeness. As results of difference of project completeness, a high perceived level of problem solving group's performance of project completeness was higher than a low perceived level of problem solving group's one. Analysis of the impact of the perceived level of problem solving on the performance of project completeness, 'problem finding' factor had a significant impact. This research suggested the importance of 'problem finding' and self-reflecting introspective 'reviewing' stages in problem solving process using programming language.abstract of your study in English. This space is for the abstract of your study in English. This space is for the abstract of your study in English.

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An Analysis on Contents Related to Problem Solving in the 7th Elementary Mathematics Curriculum and Instructional Materials (문제해결과 관련된 제7차 초등학교 수학과 교육과정 및 교과용 도서 분석)

  • Pang, Jeong-Suk;Kim, Sang-Hwa
    • School Mathematics
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    • v.8 no.3
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    • pp.341-364
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    • 2006
  • This paper analyzed contents related to problem solving in the 7th elementary mathematics curriculum in conjunction with main changes in the next curriculum under discussion. This paper then provided detailed analyses of textbooks and workbooks in terms of principal contents, problem solving strategies, content areas, and problem types in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that many issues and suggestions stemming from the analyses will serve basic information to develop next curriculum and its concomitant instructional materials in a way to fostering students' problem solving ability.

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