• Title/Summary/Keyword: Problem Solving Stage

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A Case study on the Validity Review of the Problem Solving Process of Elemetary $5^{th}$ graders (초등학교 5학년 학생들의 문제해결 과정의 타당성 검토 활동에 관한 사례연구)

  • Park, Ji-Yeon;Park, Young-Hee
    • The Mathematical Education
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    • v.51 no.3
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    • pp.265-280
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    • 2012
  • This study aims to provide implications from mathematics education perspective by designing a process of 'validity review on the problem solving process', and then, by analyzing the results. In the result of analysis on the features of children's thinking in accordance with 4 stages of problem solving, children's thinking was equally observed in every stage rather than intensively observed in one stage, and reflective thinking related to important elements from each stage of problem solving process was observed. In the result of analysis of changes in description for problem solving process, there was a difference in the aspects of changes by children's knowledge level in mathematics, however, the activity of validity review on problem solving process in overall induced positive changes in children's description, especially the changes in problem solving process of children. Through the result of this study, we could see that the validity review on problem solving process promotes children's reflective thinking and enables meta-cognition thus has a positive influence on children's description of problem solving process.

Coding of students′ thinking process in Polya′s stages of problem solving (Polya의 문제해결 각 단계에서 학생들이 보인 사고과정의 코드화)

  • 김소균;신현성
    • Journal of the Korean School Mathematics Society
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    • v.5 no.2
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    • pp.23-31
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    • 2002
  • The purpose of this study is to analyze thinking process in problem solving and to get some teaching materials to improve students' problem solving abilities. For this study, 14 girl and boy students in highschool were tested with 7 testing questions. The whole process of students' problem solving was observed by using 'Thinking aloud', recorded by Audio Tape and finally drawn up to Protocol. On the basis of that Protocol, coding system was set up and characteristics of thinking process in each stage were analyzed. -In the stage of planning, successful problem solvers tried to check the properties of words included in problems(Pr) and made it clear that they were seeking(O) -In the stage of planning, students used abstraction strategy(Ab, making equation(E) or using variable(V)) appropriately could solve more difficult problems. Successful problem solvers turned used unsystematical trial into systematical method and were good at using partial objects, assistant factors. - In the stage of carring out the plan, successful problem solvers to reduce the error, check the purpose, used formula, knowledge and calculation. -In the looking back stage, successful problem solvers generalized the answer and checked the total process.

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Everyday science problem solving processes of high ability elementary students in science: Analysis of written responses (초등 과학 우수 학생의 일상적 맥락의 과학 문제 해결 과정: 서답형 문항에 대한 응답 분석)

  • 김찬종
    • Journal of Korean Elementary Science Education
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    • v.17 no.1
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    • pp.75-87
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    • 1998
  • The problem solving processes of elementary school children who are talented in science have been seldom studied. Researchers often resort to thinking aloud method to collect data of problem solving processes. The major purpose of the study is investigating high ability elementary school students' problem solving processes through the analysis of written responses to science problems in everyday context. 67 elementary students were participated Chungcheongbuk-do Elementary Science Contest held on October, 1997. The written responses of the contest participants to science problems in everyday context were analyzed in terms of problem solving processes. The findings of the research are as follows. (1) High ability elementary students use various concepts about air and water in the process of problem solving. (2) High ability elementary students use content specific problem solving strategies. (3) The problem solving processes of the high ability elementary students consist of problem representation, problem solution, and answer stages. Problem representation stage is further divided into translation and integration phases. Problem solving stage is composed of deciding relevant knowledge, strategy, and info..ins phases. (4) High ability elementary students' problem solving processes could be categorized into 11 qualitatively different groups. (5) Students failures in problem solving are explained by many phases of problem solving processes. Deciding relevant knowledge and inferring phases play major roles in problem solving. (6) The analysis of students' written responses, although has some limitations, could provide plenty of information about high ability elementary students' problem solving precesses.

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Analysis on Science Problem Solving Process of the Elementary Science Gifted Students (초등 과학 영재의 과학 문제 해결 과정 분석)

  • Lim, Cheong-Hwan;Lim, Gui-Sook
    • Journal of Korean Elementary Science Education
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    • v.30 no.2
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    • pp.213-231
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    • 2011
  • The purpose of this study was to investigate knowledge types which the elementary science gifted students would use when solving a science problem, and to examine characteristics and types that were shown in the science problem solving process. For this study, 39 fifth graders and 38 sixth graders from Institute of Education for the Gifted Science Class were sampled in one National University of Education. The results of this study were as follows. First, for science problem solving, the elementary science gifted students used procedural knowledge and declarative knowledge at the same time, and procedural knowledge was more frequently used than declarative knowledge. Second, as for the characteristics in the understanding step of solving science problems, students tend to exactly figure out questions' given conditions and what to seek. In planning and solving stage, most of them used 3~4 different problem solving methods and strategies for solving. In evaluating stage, they mostly re-examined problem solving process for once or twice. Also, they did not correct the answer and had high confidence in their answers. Third, good solvers had used more complete or partially applied procedural knowledge and proper declarative knowledge than poor solvers. In the problem solving process, good solvers had more accurate problem-understanding and successful problem solving strategies. From characteristics shown in the good solvers' problem solving process, it is confirmed that the education program for science gifted students needs both studying on process of acquiring declarative knowledge and studying procedural knowledge for interpreting new situation, solving problem and deducting. In addition, in problem-understanding stage, it is required to develop divided and gradual programs for interpreting and symbolizing the problem, and for increasing the understanding.

문제해결과정의 단계별 회귀가 문제해결시간에 미치는 영향에 관한 연구

  • 손달호;최무진
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.04a
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    • pp.73-82
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    • 1993
  • Over the last decades, interest in the application of decision support systems(DSS) in organizations has increased rapidly. Desipte the growing number of investigations examining decision support system, relatively few empirical studies have evaluated the effects of DSS on problem-solving processes. This study examined, using a computer simulation technique, the effect of recursion in problem-solving processes about the problem-solving time. Results indicate that the recursion at the early stage of problem-solving processes scarcely influenced the problem-solving time, which is contrasted with the case of the recursion at the final stage.

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Comparison of Chemistry Problem Solving Behaviors In the Aspects of Cognitive Developmental Level of Student and Context of Problem (학생의 인지발달 수준과 문제의 상황에 따른 화학 문제해결 행동 비교)

  • Noh, Tae-Hee;Jean, Kyung-Moon;Han, In-Ok;Kim, Chang-Min
    • Journal of The Korean Association For Science Education
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    • v.16 no.4
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    • pp.389-400
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    • 1996
  • The purposes of this study were to analyze chemistry problem solving processes of middle school students and to compare their problem solving behaviors in the aspects of the cognitive developmental level of student, the success in problem solving, and the context of problem. Their failures in solving problems were also analyzed in the aspects of problem solving stage and prior knowledge. Forty-two students individually solved four problems regarding density and solubility using a think-aloud method. Students' responses were analyzed after intercoder agreement for analyzing problem-solving processes had been established to be 0.94. The results were as follows: 1. Most students solved chemistry problems following the stages of understanding, planning, and solving, while few exhibited the behaviors of the reviewing stage. There was also individual difference in the number of the stages repeated and their behaviors at each stage. 2. Most students were successful in understanding problems. However, unsuccessful and/or concrete-operational students had more difficulties in understanding problems than successful and/or formal-operational students, and students tended to have more difficulties in understanding problems in everyday contexts than in scientific contexts. 3. Successful and/or formal-operational students exhibited more behaviors of the planning stage than unsuccessful and/or concrete-operational students. Students showed more behaviors of the planning stage, but failed more at this stage, in everyday contexts than in scientific contexts. 4. Most students did not review their solutions. Successful and/or formal-operational students exhibited these behaviors more than unsuccessful and/or concrete-operational students. Students tended to exhibit the behaviors more in everyday contexts than in scientific contexts. 5. Many students failed to solve problems correctly due to the lack of prior knowledge and the inability to plan appropriately.

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Analysis of differences in chemical problem solving process of college students related to the characteristics of problems (문제의 특성에 따른 대학생들의 화학 문제해결 과정의 차이 분석)

  • Hong, Mi-Young;Park, Yune-Bae
    • Journal of The Korean Association For Science Education
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    • v.15 no.1
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    • pp.80-91
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    • 1995
  • This study aims to identify the differences in chemical problem solving process of college students when the amount of information, problem context and the reasoning level were varied. Four students were participated and each student solved the problem by think-aloud method and then interviewed individually. Problem solving stage, ratio of time for each solving stage, solving strategy, misconceptions, and errors were identified and discussed related to the characteristics of problems. And, the relationships of students' belief system about chemistry & chemistry problem solving and problem solving characteristics were also identified.

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The Effects of Recursion in Problem-Solving Processes on the Problem-Solving Time : a Simulation Study (문제해결과정의 단계별 회귀가 문제해결시간에 미치는 영향에 관한 연구)

  • 손달호;최무진
    • Journal of the Korean Operations Research and Management Science Society
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    • v.19 no.1
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    • pp.53-67
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    • 1994
  • Over the last decades, interest in the application of decision support systems (DSS) in organizations has increased rapidly. Despite the growing number of investigations exmaining decision support system, relatively few empirical studies have evaluated the effects of DSS on problem-solving processes. This study examined, using a computer simulation technique, the effects of recursion in problem-solving processes on the problem-solving time. Results indicate that the recursions at the early stage of problem-solving processes scarcely influenced the problem-solving time, which is contrasted with the case of the recursions at the final stage.

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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.

Analysis of Characteristics of Problem Solving Process in Gas Phase Problems of College Students (대학생들의 기체의 성질에 대한 문제해결 과정의 분석)

  • Hong, Mi-Young;Park, Yune-Bae
    • Journal of The Korean Association For Science Education
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    • v.14 no.2
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    • pp.143-158
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    • 1994
  • This study aims to identify the characteristics of gas phase problem solving of college freshmen. Four students were participated in this study and solved the problem by using think-aloud method. The thinking processes were recorded and transferred into protocols. Problem solving stage, the ratio spended in each solving stage, solving strategy, misconceptions, and errors were identified and discussed. The relationships between students' belief system about chemistry problem solving and problem solving characteristics were also investigated. The results were as follows: 1. Students felt that chemical equation problem was easier than word problem or pictorial problem. 2. When students had declarative knowledge and procedural knowledge required by given problem, their confidence level and formula selection were not changed by redundunt information in the problem. 3. When the problem seemed to be difficult, students tended to use the Means-End or Random strategy. 4. In complicated problems, students spent longer time for problem apprehension and planning. In familiar problems, students spent rather short time for planning. 5. Students spent more time for overall problem solving process in case of using Means-End or Random strategy than using Knowledge-Development strategy.

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