• Title/Summary/Keyword: problem Solving

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Teaching Strategies for Developing Problem Solving Abilities (문제해결력 신장을 위한 전략 지도 방안)

  • Nam Seung In
    • Journal of Elementary Mathematics Education in Korea
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    • v.1 no.1
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    • pp.67-86
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    • 1997
  • The purposes of this paper are to show problem-solving strategies and their typical problems to suggest specific ways to teach strategies to promote problem-solving abilities. (1) Problem-solving strategies can be divided into general strategies and specific strategies. General strategies refer to procedural teaching-learning activities based on Polya's 4 step problem-solving. Specific strategies refer to Lenchner's 12 problem solving strategies and their characteristics which are helpful to the substantial solution of specific problems. (2) Concerning to problem-solving strategies teaching, the followings are suggested. First, the sequence of strategy teaching should be from easy to difficult ones, from short to long ones. Second problems for strategy training should be simple and good enough to serve as examples of the strategies. Repetition with similar problems are needed. Third, analysis and comparison of various strategies, and extension and adaptation of the strategies to complicate problems are needed. Fourth, procedures of strategies teaching are the follows: Have students make their own strategies focused on the solution process; Have students solve the problems with expectation of the solving methods; Have students compare and reflect on their solving methods; And assess problem - solving processes.

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A Study on the Creative Problem-Solving Education in Entrepreneurship Education of Higher Educational Institutions: Lessons and Implications From Leading Countries' Educational Policies and Cases (대학 창업교육의 고도화를 위한 창의적 문제해결역량교육에 대한 고찰: 해외의 교육정책 및 사례분석의 시사점)

  • Kim, Jiyoung;Sung, Chang Soo;Park, Joo Y.
    • Asia-Pacific Journal of Business Venturing and Entrepreneurship
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    • v.12 no.2
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    • pp.65-76
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    • 2017
  • The purpose of this study is to promote the activation of creative problem - solving education in Korea through the case of countries leading education for creative problem solving in order to overcome the limitation of creative problem solving education in Korea. Based on 5 success factors by our cases of United States, Singapore, and Dublin City University in Ireland, we focused on the cases and extracted five key characteristics of creative problem solving education. The university should be able to provide various information gathering and theoretical knowledge for problem definition as well as continuing guidance and mentoring, rather than one-time teaching, in the form of teaching-student cooperative learning paradigm. Second, the class should be a team - based learning team which is a key factor in overseas universities' policy, so as to be able to identify differentiated, new ideas and creative problem solving methods based on knowledge and experience sharing. The creative problem solving method derived from education could be able to collect, organize, and apply to the field continuously and comprehensively about the learning process of the individual. Evaluation of curriculum should be based on characteristics of school and characteristics of students. The results of creative problem-solving education should be evaluated in order to continuously develop and create value in addition to the outcomes of the class. Therefore, it is necessary to develop an evaluation process for each university. The university should try to make creative problem solving education create value through specialization of university. Based on this, we propose a creative problem solving education framework.

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Case Analysis of Problem Solving Process Based on Brain Preference of Mathematically Gifted Students -Focused on the factors of Schoenfeld's problem solving behavior- (수학영재들의 뇌선호유형에 따른 문제해결 과정 사례 분석 -Schoenfeld의 문제해결 행동요인을 중심으로-)

  • Kim, Jae Hee;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.1
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    • pp.67-86
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    • 2013
  • The purpose of this study is to analyze selection of factors of Schoenfeld's problem solving behavior shown in problem solving process of mathematically gifted students based on brain preference of the students and to present suggestions related to hemispheric lateralization that should be considered in teaching such students. The conclusions based on the research questions are as follows. First, as for problem solving methods of the students in the Gifted Education Center based on brain preference, the students of left brain preference showed more characteristics of the left brain such as preferring general, logical decision, while the students of right brain preference showed more characteristics of the right brain such as preferring subjective, intuitive decision, indicating that there were differences based on brain preference. Second, in the factors of Schoenfeld's problem solving behavior, the students of left brain preference mainly showed factors including standardized procedures such as algorithm, logical and systematical process, and deliberation, while the students of right brain preference mainly showed factors including informal and intuitive knowledge, drawing for understanding problem situation, and overall examination of problem-solving process. Thus, the two types of students were different in selecting the factors of Schoenfeld's problem solving behavior based on the characteristics of their brain preference. Finally, based on the results showing that the factors of Schoenfeld's problem solving behavior were differently selected by brain preference, it may be suggested that teaching problem solving and feedback can be improved when presenting the factors of Schoenfeld's problem solving behavior selected more by students of left brain preference to students of right brain preference and vice versa.

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The Effects of Mental Capacity and Mental Demand on Problem Solving (문제해결자의 정신용량과 문제의 요구정신용량이 문제해결에 미치는 영향)

  • Ahn, Soo-Young;Kwon, Jae-Sool
    • Journal of The Korean Association For Science Education
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    • v.16 no.2
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    • pp.134-145
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    • 1996
  • The purpose of this study was to investigate effects of mental capacity and mental demand on problem solving. Two kinds of tests were used for this study. One was FIT 752 test which required general knowledge, the other was Ohm's law test which required domain specific knowledge. The items of each test had the same logical structure and content knowledge but had different sizes of mental demand. The results of the study were summarized as follows: As mental demand of the items increased, the success rates decreased. The analysis of the hierarchical relation among items was that items with large mental demand were higher than those with small demand or at least the same level. According to the results, mental of an item was a significant factor affecting solving the problem. Effect of mental capacity on problem solving was different according to the kind of required knowledge to solve. Mental capacity was a significant factor affecting solving the FIT 752 task which required general knowledge. On the contary, solving the task which required domain specific knowledge, the results were different depending on subjects' chunk size. The results of problem solving of the groups which had small chunk size were that mental capacity was appeared a significant factor. However, results of problem solving of groups which had large chunk size were that mental capacity was not.

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Children's Perspective-taking and Interpersonal Problem-solving Abilities according to Parents' Verbal Control Styles (부모의 언어통제유형에 따른 유아의 조망수용능력과 대인문제해결력)

  • Nam, Hyun-Young;Lee, So-Eun
    • Korean Journal of Human Ecology
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    • v.13 no.4
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    • pp.485-496
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    • 2004
  • The purpose of this study is to examine how the difference of parents' verbal control styles influence children's perspective-taking and interpersonal cognitive problem-solving skills. The subjects of this study were 117 five-year-old children with their parents included. The questionnaire used was relevant to the topic, such as parents' verbal control styles, young children's perspective-taking ability, and their interpersonal cognitive problem-solving skills. The percent, mean, standard deviation, three-way ANOVA, and Scheffe were used to analyze the data collected through SPSS WIN program. The major findings are as follows: First, a father's verbal control style makes a significant difference in young child's perspective-taking ability. However, there is no interaction effect between parents' verbal control styles and a child's sex. Second, a father's verbal control style makes a significant difference in young child's interpersonal cognitive problem-solving skills. Character-oriented verbal control mode of a father, in particular, produces more effects on boys than girls. Lastly, Two skills - alternative problem-solving skills and cause-solving skills - have interaction effects. Boys demonstrate higher skills than girls when parents apply character-oriented verbal control styles. Girls do so when mothers use position-oriented verbal control styles, especially in the area of cause-solving skills.

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The Case Study for The Construction of Similarities and Affordance (유사성 구성과 어포던스(affordance)에 대한 사례 연구 -대수 문장제 해결 과정에서-)

  • Park, Hyun-Jeong
    • The Mathematical Education
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    • v.46 no.4
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    • pp.371-388
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    • 2007
  • This is a case study trying to understand from the view of affordance which certain three middle school students perceive an activation of previous knowledge in the course of problem solving when they solve algebra word problems with a previous knowledge. The results of this study showed that at first, every subjects perceived the text as affordance which explaining superficial similarities, that is, a working(painting)situation rather than problem structure and then activated the related solution knowledge on the ground of the experience of previous problem solving which is similar to current situation. The subject's applying process for solving knowledge could be arranged largely into two types. The first type is a numeral information connected with the described problem situation or a symbolic representation of mathematical meaning which are the transformed solution applied process with a suitable solution formula to the current problem. This process achieved by constructing a virtual mental model that indicating mathematical situation about the problem when the solver read the problem integrating symbolized information from the described text. The second type is a case that those subjects symbolizing a formal mathematical concept which is not connected with the problem situation about the described numeral information from the applied problem or the text of mathematical meaning, which process is the case to perceive superficial phrases or words that described from the problem as affordance and then applied previously used algorithmatical formula as it was. In conclusion, on the ground of the results of this case study, it is guessed that many students put only algorithmatical knowledge in their memories through previous experiences of problem solving, and the memories are connected with the particular phrases described from the problems. And it is also recognizable when the reflection process which is the last step of problem solving carried out in the process of understanding the problem and making a plan showed the most successful in problem solving.

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The Effects of Problem-Based Learning on Problem Solving Ability and Collaborative Self-efficacy of Dental Hygiene Major Students (문제중심학습(PBL)이 치위생학 전공 학생들의 문제해결능력과 협력적 자기효능감에 미치는 효과)

  • Young-Soo Lee;Hyeon-Ae Sim
    • Journal of The Korean Society of Integrative Medicine
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    • v.11 no.1
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    • pp.71-78
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    • 2023
  • Purpose : This study was purposed to analyze the effectiveness of PBL (Problem-Based Learning) classes and to derive class improvement plans. Methods : The subjects of the study were 48 students who took the 4th grade clinical dental hygiene course at S University located in Chungcheongnam-do of South Korea in 2021. A single-group pre and post experimental study was designed to verify whether there were significant changes in the research variables of students who participated in the class to which problem-based learning was applied. A paired-sample t-test was conducted for the collected data of 46 respondents. Results : As a result, the degree of improvement in problem clarification, cause analysis, and alternative development among the five sub-areas of problem-solving ability was statistically significant. This means that the problem-based learning class positively affects dental hygiene major students' ability to clarify problems, the ability to analyze causes to collect and analyze information, and the ability to develop alternatives to make decisions, thereby improving overall problem-solving abilities. However, the improved post-score was not statistically significant in the planning/execution and performance evaluation of the remaining two subdomains. In addition, post-scores of the leader aspect, opinion exchange, opinion evaluation, and opinion integration, which are sub-domains of collaborative self-efficacy, all showed great statistical significance. Problem-based learning improved the collaborative efficacy of dental hygiene major students overall by positively influencing the ability to lead a team, exchange and evaluate each other's views, and constructively integrate different views. Conclusion : It was found that both the subject's problem-solving ability and cooperation efficiency improved under the influence of problem-based learning. On the other hand, implications for improvement of the future class such as the necessity of supplementing strategies to promote planning and execution ability for problem solving, and ability to evaluate problem solving performance was suggested.

A Comparative Analysis of Expert's and Novice's Thinking Processess in Solving Physics Problems (물리문제해결 실패자(초심자)와 성공자(전문가)의 문제해결 사고과정에 관한 연구)

  • Kwon, Jae-Sool;Lee, Seong-Wang
    • Journal of The Korean Association For Science Education
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    • v.8 no.1
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    • pp.43-55
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    • 1988
  • This study intended to find the differences between expert's and novice's thinking processes when they solve physics problems. Five physics professors and twenty sophomore students in a physics department were participated in the study. The researcher investigated their thinking processes in solving three physics problems on NEWTON's law of motion. The researcher accepted so called "Thinking Aloud" method. The thinking processes were recorded and transfered into protocols. The protocols were analysised by problem solving process coding system which was developed by the researcher on the basis of Larkin's problem solving process model. The results were as follows: (1) There was no difference of time required in solving physics problem of low difficulty between expert and novices; but, it takes 1.5 times longer for novices than experts in solving physics problems which difficulties are high and average. (2) Novices used working forward strategy and working backward strategy at the similiar rate in solving physics problems which difficulties were average and low. while Novices mo mostly used working backward strategy in solving physic problems which difficulty was high. Experts mostly used working forward strategy in solving physics problems whose difficulties was average and low, however experts used working forward strategy and working backward strategy at the similiar rate in solving physics problem which difficulty was high. (3) Novices usually wrote only a few information on the diagram of figure they drawn, on the other hand experts usually wrote almost all the information which are necessary for solving the problems. (4) Experts spent much time in understand the problem and evaluation stage than novices did, however experts spent less time in plan stage than novices did. (5) Physics problems are solved in sequence of understanding the problem, plan, carrying out the plan, and evaluation steps regardless of problem difficulty.

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Algebraic Problem Solving of the High School Students : An Analysis of Strategies and Errors (고등학교(高等學校) 학생(學生)의 대수(代數) 문제(問題) 해결(解決) : 전략(戰略)과 오류(誤謬) 분석(分析))

  • Lee, Sang-Won;Jeon, Pyung-Kook
    • Communications of Mathematical Education
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    • v.2
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    • pp.181-191
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    • 1997
  • The purpose of this study is to provide the primary sources to improve the problem solving performance by analyzing the errors and the strategies selection of the high school students when solving given algebraic problems. To attain the purpose of this study, the questions for investigation in this study are : 1. What are the differences / similarities in the patterns of errors committed by successful and unsuccessful problem-solvers when solving particular algebraic problems ? 2. What are the error types chosen by unsuccessful problem-solvers when solving particular algebraic problems? 3. Do students utilize checking, either locally or globally, when solving particular algebraic problems? Twenty students were drawn out of 10th grade students in J girls' high school in Yengi -gun, Chung-Nam, for this study. The problem-solving test was used as a test instrument. From the data, the verbal protocols and the written protocols were analyzed by the patterns. The conclusions drawn from the results obtained in the present study are as follows: First, in solving particular algebraic problems, when the problems were solved with one strategy, most students didn't give any consideration to other strategies. So mathematics teachers should teach them to use the various strategies, and should develop the problems to be used the various strategies. Second, in solving particular algebraic problems, errors on notions or transformations of equations were found. Thus, the basic knowledges related to equation should be taught. In addition, most unsuccessful students seleted the strategies inadequately to solve the problems because of misunderstanding the problems. So, to improve the problem solving performance the processes of 'understanding problem' should be emphasized to students. Third, although the unsuccesful students used the 'checking' processes when solving the problems, most of them did not find the errors because of misconceptions related to the problems, carelessness, and unskillfulness of checking. Thus, students must be taught more carefully and encouraged to use the checking.

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Cognitive Components Definition of Creative Problem-Solving Ability in Informatics Education (정보 교육에서 요구되는 창의적 문제해결능력의 인지적 요소 정의)

  • Kim, JongHye;Jeong, HoiGang;Kim, HanSung;Kim, HyeonCheol;Lee, WonGyu
    • The Journal of Korean Association of Computer Education
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    • v.11 no.2
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    • pp.1-12
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    • 2008
  • It is important to improve the creative problem- solving ability through subject matter education. Especially, Informatics education is important to improve the problem-solving ability by using computer as well as the general problem-solving ability. This paper identifies the creative problem- solving ability which is required in Informatics education. The cognitive components of the creative problem-solving ability are organized as the result of crossing the problem-solving ability and the creativity. This paper investigated the validity of the contents as judged by a panel of experts. The cognitive components of creativity are the elaboration, sensitivity, and reorganization in the step of 'Understanding and Analysis the Problem'. Also, The cognitive components of creativity are the fluency, flexibility, and originality in the step of the 'Exploring the Problem Solutions'. The cognitive components of creativity are elaboration in the step of the 'Design the Problem Solution' and 'Implementation'. Finally, the cognitive components of creativity are the flexibility and elaboration in the step of the 'Evaluation'.

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