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Analysis of abduction and thinking strategies by type of mathematical problem posing (수학 문제 만들기 유형에 따른 가추 유형과 가추에 동원된 사고 전략 분석)

  • Lee, Myoung Hwa;Kim, Sun Hee
    • The Mathematical Education
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    • v.59 no.1
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    • pp.81-99
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    • 2020
  • This study examined the types of abduction and the thinking strategies by the mathematics problems posed by students. Four students who were 2nd graders in middle school participated in problem posing on four tasks that were given, and the problems that they posed were classified into equivalence problem, isomorphic problem, and similar problem. The type of abduction appeared were different depending on the type of problems that students posed. In case of equivalence problem, the given condition of the problems was recognized as object for posing problems and it was the manipulative abduction. In isomorphic problem and similar problem, manipulative abduction, theoretical abduction, and creative abduction were all manifested, and creative abduction was manifested more in similar problem than in isomorphic problem. Thinking strategies employed at abduction were examined in order to find out what rules were presumed by students across problem posing activity. Seven types of thinking strategies were identified as having been used on rule inference by manipulative selective abduction. Three types of knowledge were used on rule inference by theoretical selective abduction. Three types of thinking strategies were used on rule inference by creative abduction.

Effects of Critical Thinking and Communication Skills on the Problem-Solving Ability of Dental Hygiene Students

  • Han, Ji-Hyoung;Ahn, Eunsuk;Hwang, Ji-Min
    • Journal of dental hygiene science
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    • v.19 no.1
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    • pp.31-38
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    • 2019
  • Background: This study aimed to investigate the effects of critical thinking and good communication skills on the problem-solving abilities of dental hygiene students. Methods: A total of 508 dental hygiene students were convenience-sampled from 3 universities. Results: The results revealed that critical thinking had the highest intellectual fairness score of 3.60, and systematicity was the lowest at 3.19. The values for communication skills were high in reaction, social adequacy, and concentration, with an average of 3.65. Problem-solving abilities were in the following order: clarification of the problem, seeking solutions, and decision making. According to general characteristics, more extroverted personalities possessed higher levels of critical thinking, communication skills, and problem-solving abilities (p<0.01). Critical thinking scores were high (p=0.016) in students who responded that peer relationship was difficult; however, their communication skills were the lowest (p<0.001). Additionally, problem-solving abilities were highest among students who reported a difficult peer relationship (p=0.001). The higher the satisfaction with dental hygiene academics, the higher the critical thinking, communication skill, and problem-solving ability (p<0.001). Critical thinking showed a high positive correlation with variables in the following order: clarification of the problem, performing the solutions, seeking solutions, decision making, and evaluation and reflection. The communication skills were also related to these variables listed above (p<0.01). With critical thinking, confidence, watchfulness, intellectual passion/curiosity, sound skepticism, objectivity, and systematicity all influenced the problem-solving ability. Conclusion: Communication skills were influenced by noise control, putting on the other's shoe, social tensions, and efficiency, which affected the problem-solving ability. Dental clinics require dental hygienists to have critical thinking to make analytical judgments and effective communication skills to solve human relation problems with patients and care-givers. Therefore, these skills should be developed in dental hygiene students to improve their problem-solving abilities.

A Study on Intention to Solve the Problem via the Prior Experience of Creativity Programs based on the Action Learning Methodology (액션러닝방법론에 기반한 창의성프로그램 참여경험에 따른 문제해결의도의 영향에 관한 연구)

  • Kim, Soung-Hyun;Park, JaeSung
    • Journal of Digital Convergence
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    • v.19 no.6
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    • pp.73-83
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    • 2021
  • This study identified the factors that influence the problem solving intention of students who completed the action learning-based creativity programs based on the theory of reasoned action, and examined the influence relationship between these factors. As a result of the study, first, subjective norms of problem solving had a positive effect on problem solving intention, and second, attitude toward problem solving had a significant effect on problem solving intention. Third, it was found that students who had experience of participating in a patent education program applying the action learning methodology had a positive effect on the relationship between their attitude toward problem solving and their intention to solve the problem. These findings confirmed that in order to enhance the problem-solving intention, which is the basis for creativity of university students, it is important to spread the positive value of problem-solving within the university and to give students a positive attitude toward problem solving.

Development of Active Problem Solving Model(SPPE) and Middle School Students' Recognition in Problem Solving Activities (활동적인 문제해결 모형(SPPE) 개발 및 중학생들의 문제해결 활동에 대한 인식)

  • Song, Young-Wook;Kim, Beom-Ki
    • Journal of The Korean Association For Science Education
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    • v.27 no.4
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    • pp.309-317
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    • 2007
  • The purpose of the study is to investigate the effects of problem solving models and middle school students' recognition inproblem solving activities and to get implications of problem solving activities in science education. We took the position of problem solving as consisting of four sequential stages: search of problems, performance of the plan, presentation of results, and evaluation of the presentation. Taking into account thechosen activity factors for each stage of problem solving, we developed detailed activity tools that are supposed to guide the stage. Recognition of problem solving activities in 7th grade middle school students were positive. Students felt that problem solvingactivities made them engage more and interested in science classes, and that they were helpful in solving problems in everyday life. Even though they found real problems in everyday life, they preferred problem solving activities to deal with real problems rather than simple minded ones.

A Study about the Experienced Problems and the Demands of Counseling of the Adolescents according to the Physical, Psychological, Sexual and the Socio-cultural Problem Categories (일부 지역 청소년들의 신체적$\cdot$정신적$\cdot$성적$\cdot$사회문화적 영역별 문제경험정도와 상담의 필요성에 관한 연구)

  • Kim Jin Kyung;Kim Eun Sook;Lee Jung Ae
    • Journal of Korean Public Health Nursing
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    • v.11 no.2
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    • pp.152-170
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    • 1997
  • The purpose of this study was to identify physical. psychological. sexual and socio-cultural problems that the adolescents have experienced and to assess the demands of counseling about the experienced problems. The design of this study was descriptive-survery study. The sample size was 601 middle and high school students. Data analysis was done by frequencies. Percent. t -test. ANOVA. Pearson correlation coefficiency, stepwise regression and Cronbach's $\alpha$ Score was produced for the reliability of the tool by using the item analysis method. The results was as follows : 1. The distribution of the each item that the adolescents experienced according to the physical, psychalogical. Sexual and Socio-cultural problem Categories was examined. In the physical problem category, the number of items that half and more than half of the adolescents experienced of often or frequently were 10 among all 19 items. In the psychological problem category. 13 item were among all 19 items. In the sexual problem category, 1 item among all 17 items and in the socio-cultural problem category, 10 items were among all 30 items. 2. The distribution of the each items that the adolescents wanted to the counseling according to the physical. psychological. sexual and socio-cultural problem categories was examined. In the physical problem category, the numbers of the items that half and more than half of the adolescents wanted counseling were 1 among all 19 items. In the psychological problem category, the numbers of the items that half and more than half of the adolescents wanted counseling were 2 items among all 19 items. In the sexual problem category, 0 item among all 17 items and in the socio-cultural problem category, 2 items were among all 30 items. 3. In the comparison of the female student and male student about the experienced problems and the demands of counseling according to the physical. psychological. sexual and socio-cultural problem categories. There was a significant difference statistically in all categories between groups(P<.001) 4. In the comparison of high school students and middle school students about the demands of counseling according to the physical. psychological. sexual and socio-cultural problem categories(P<.001). Particulary, grade II of high school students have experienced problems according to the physical. psychological. sexual and socio-cultural problem categories. There was a significant difference statistically in all categories(P<.001). 5. In the correlation between the experienced problem and the demands of counseling according to 4 categories. there was the positive correlation at P<.001 level. 6. The less the satisfaction for family and school life. the more experienced problems according to the physical. psychological. sexual and socio-cultural problem categories. There was a significant difference statistically in all categories(P<.001).

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Balancing assembly line in an electronics company

  • 박경철;강석훈;박성수;김완희
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1993.10a
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    • pp.12-19
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    • 1993
  • In general, the line balancing problem is defined as of finding an assignment of the given jobs to the workstations under the precedence constraints given to the set of jobs. Usually, the objective is either minimizing the cycle time under the given number of workstations or minimizing the number of workstations under the given cycle time. In this paper, we present a new type of an assembly line balancing problem which occurs in an electronics company manufacturing home appliances. The main difference of the problem compared to the general line balancing problem lies in the structure of the precedence given to the set of jobs. In the problem, the set of jobs is partitioned into two disjoint subjects. One is called the set of fixed jobs and the other, the set of floating jobs. The fixed jobs should be processed in the linear order and some pair of the jobs should not be assigned to the same workstations. Whereas, to each floating job, a set of ranges is given. The range is given in terms of two fixed jobs and it means that the floating job can be processed after the first job is processed and before the second job is processed. There can be more than one range associated to a floating job. We present a procedure to find an approximate solution to the problem. The procedure consists of two major parts. One is to find the assignment of the floating jobs under the given (feasible) assignment of the fixed jobs. The problem can be viewed as a constrained bin packing problem. The other is to find the assignment of the whole jobs under the given linear precedence on the set of the floating jobs. First problem is NP-hard and we devise a heuristic procedure to the problem based on the transportation problem and matching problem. The second problem can be solved in polynomial time by the shortest path method. The algorithm works in iterative manner. One step is composed of two phases. In the first phase, we solve the constrained bin packing problem. In the second phase, the shortest path problem is solved using the phase 1 result. The result of the phase 2 is used as an input to the phase 1 problem at the next step. We test the proposed algorithm on the set of real data found in the washing machine assembly line.

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Effects of Open-Situation Scientific Problem-Making Activity on the Scientific Problem-Finding Ability of Pre-Service Teachers (개방적 상황에서 과학적 문제 만들기 활동이 예비교사의 과학적 문제발견능력에 미치는 영향)

  • Hwang, Yohan;Park, Yunebae
    • Journal of The Korean Association For Science Education
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    • v.35 no.1
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    • pp.109-119
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    • 2015
  • In this study, we investigated how the scientific problem-finding ability of pre-service teachers is improved through open-situation scientific problem-making activity. We organized two experimental groups and a control group by degree of participation. The 1st experimental group is an actively participating class, while the 2nd experimental group is a passively participating class. We developed and applied a worksheet for training in problem-making. The pre-service teachers filled in the worksheet for problem-making once a week for seven weeks, then the lecturer gave feedback for every worksheet. We developed and applied a problem finding test in an open-situation to measure their problem finding ability at pre- and post-training. As a result of the training, problem level and diversity improved for pre-service teachers through continuous problem-making activities and feedback. The 1st experiment group significantly improved on the quality and quantity of problems. Especially in the originality, elaboration, verifiability, and variables' category, the 1st experimental group significantly improved compared to the control group and the 2nd experimental group. On the other hand, the quality and quantity of problems of the 2nd experimental group decreased. These results provide a basis for correlation between training attitude and improvement of problem-finding ability. Based on the result of this study, continuous problem-making training and feedbacks are helpful in improving the problem-finding ability of pre-service teachers.

The Fourth Graders' Visual Representation in Mathematics Problem Solving Process (초등학교 4학년 학생들의 수학 문제해결과정에서의 시각적 표현)

  • Kim, So Hee;Lee, Kwangho;Ku, Mi Young
    • Education of Primary School Mathematics
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    • v.16 no.3
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    • pp.285-301
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    • 2013
  • The purpose of the study is to analyze the 4th graders' visual representation in mathematics problem solving process and to find out how to teach the visual representation in mathematics problem solving process. on the basis of the results, this study gives several pedagogical implication related to the mathematics problem solving. The following were the conclusions drawn from the results obtained in this study. First, The achievement level of students and using visual representation in the mathematics problem solving are closely connected. High achieving students used visual representation in the mathematics problem solving process more frequently. Second, high achieving students realize the usefulness of visual representation in the mathematics problem solving process and use visual representation to solve mathematical problem. But low achieving students have no conception that visual representation is one of the method to solve mathematical problem. Third, students tend to especially focus on 'setting up an equation' when they solve a mathematical problem. Because they mostly experienced mathematical problems presented by the type of 'word problem-equation-answer'. Fourth even through students tried visual representation to solve a mathematical problem, they could not solve the problem successfully in numerous instances. Because students who face a difficulty in solving a problem try to construct perfect drawing immediately. But generating visual representation 2)to represent mathematical problem cannot be constructed at one swoop.

An Analysis of High School Students' Activity on Problem-finding in III-structured Scientific Problem Situation (낮게 구조화된 과학적 문제 상황에서 고등학생들의 문제발견 활동 분석)

  • Ryu, Si-Kyung;Park, Jong-Seok
    • Journal of The Korean Association For Science Education
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    • v.26 no.6
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    • pp.765-774
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    • 2006
  • The purpose of this study was to suggest an instructional direction for improving scientific problem-finding ability. For this purpose, the present study made an in-depth analysis about activity on problem finding tasks of high school students in an ill-structured scientific problem situation. Subjects were divided into two groups (cooperative and individual) and two kinds of problem finding tasks were administered to two groups. Results indicated that a cooperative activity on problem finding happened to a series of steps exploring problem situation, expressing knowledge and experience, discussing provisional problems, creating various problems and selecting the best problem. Besides, a cooperative activity on problem finding depended heavily on prior knowledge and experience, and in the meantime, various scientific concepts turned out to naturally be expressed. As for the problems found out during a cooperative activity, their scores in creativity factors, including the degree of agreement in original problem selection came out to be on the whole, as excellent. In addition, the types of the problems found out in open problem situation showed that they were more various than those found out in closed problem situation. Subjects perceived that activity on problem finding had positive influence on scientific concept and science process skills. Findings of this study have the following educational implications: First, it is needed to prepare for educational environment that enables students to explore various knowledge and information. Second, the offering of various opportunities is needed to enlarge the scope of scientific knowledge and experience. Third, it is needed to prepare for a study atmosphere that lets students express their knowledge and experiences freely.

A Study on Creativity and Problem-Solving of the EMT Students (일부 응급구조과 학생들의 창의성과 문제해결능력에 관한 연구)

  • Kim, Yun-Kyung;Park, Hee-Jin
    • The Korean Journal of Emergency Medical Services
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    • v.13 no.1
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    • pp.49-60
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    • 2009
  • The purpose of this study was to investigate the creativity and problem-solving of EMT students in Gwangju Metropolitan City. Data was collected by self-reported questionnaire from 106 EMT students from December 1, to December 20, 2008, Data collected were analyzed by technical statistics and correlation analysis using $SPSS/PC^+$ 12.0 program, The results were as follows : 1. The subjects were 49 males (46%) and 57 females (54%). 2. According to gender characteristics and creativity of the subjects, there were not significant differences(t = 1.02, p = .312). To gender characteristics and problem-solving of the subjects, male were higher grade more than female and there were significant differences(t = 2.04, p = .044). 3. According to age characteristics and creativity of the subjects, there were not significant differences(F = 8.73, p = .421). To age characteristics and problem-solving of the subjects, there were not significant differences(F = 2.314, p = .104). 4. There was positive correlation between creativity and problem-solving(r = .489, p = .000). Therefore, these findings showed that more studies needed about creativity and problem-solving on EMT students and creative problem-solving programs be started for these EMT students in order to development their creativity and problem-solving.

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