• 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.

• 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.

• 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.

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.1
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• pp.75-95
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• 2009

The purpose of the study was to investigate the scaffolding processes of children in mathematical problem solving. 3 groups of 4th grade students participated in the study and the researchers proceeded the study for 4 months. The procedures of this research were as followings. First, when the learners solved the problems, the categories of scaffolding processes(by way of unit line coding belong in open codings, the categories were made 25 concepts and integrated 20 subcategories) were produced the 7 results: invite to the learning, set the problems, affective aids, attempt self learning, re-ordering between learners and affirmation self learning. Second, the processes of scaffolding in mathematic problem solving resulted in condition, the present condition, action/interaction and the outcomes. Third, the cognitive and affective aids that discovered in the scaffolding processes were considered the main categories of learner's scaffolding processes in solving the mathematic problems. In conclusion, first, the learners' scaffolding processes, based on Vygotsky's "the zone of proximal development" in selection and presentation of mathematic problems, are very diverse. Peers' affective aids are very important in solving the problems. Second, learners in the scaffolding processes exchange the cognitive and affective aids with each other with joy and earnestness, and the aids can give assistance to all the participants. Third, in the results of observation and analysis in learners' scaffolding processes, it is meaningful to know how they think. Finally, the learners' scaffolding processes are a little unsystematic and illogical compared to those of adults, but those of scaffolders are so similar to those of learners' cognitive and affective systems that they can provide teachers with many merits in understanding and teaching learners.

• Journal of Elementary Mathematics Education in Korea
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• v.22 no.2
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• pp.143-159
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• 2018

Since the mathematics learning achievement level is closely related to problem-solving ability, it is necessary to understand the relationship between problem-solving ability and meta-affect ability from the point of view of general mathematics learning ability. In this study, we compared the frequency analysis and the case analysis of the functional aspects of the meta-affect in elementary school students' problem-solving processes according to mathematics learning achievement level in parallel with frequency analysis and case analysis. In other words, the frequency of occurrence of meta-affect, the frequency of meta-affective type, and the frequency of meta-functional types of meta-affect were compared and analyzed according to the mathematics learning achievement level in the collaborative problem-solving activities of small group members with similar mathematics learning achievement level. In addition, we analyzed the representative cases of meta-affect by meta-functional types according to the mathematics learning achievement level in detail. As a result, meta-affect in problem-solving processes of the upper level group acted as relatively various types of meta-functions compared to the lower level group. And, the lower level group, the more affective factors acted in the problem-solving processes.

• Journal of the Korean Society for Library and Information Science
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• v.54 no.1
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• pp.197-221
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• 2020

This study investigates the influence of project-based learning method on the problem-solving ability and communication ability of students taking the 'Reading Guide' course in Library and Information Science(LIS). During this study, two tests measuring students' problem-solving ability and communication ability were conducted, containing 30 items divided into 5 steps of problem-solving processes and 45 items divided into 15 categories of communication ability, respectively. By utilizing the correspondence sample T-test during this study, significant differences were found in the 5 steps problem-solving processes. However, no difference was found between the pre-test and the post-test results in all 15 categories of communication ability. Subsequently, an in-depth interview was conducted, inquiring into the students' perspectives on the difficulty of attending classes, the content of lectures, the appropriateness of assignments, the validity of the evaluation method, the relationship with their team members, and the benefits acquired from completing the projects. Finally, an intensive analysis was conducted in the categories of problem-solving ability and communication ability.

• Educational Technology International
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• v.12 no.1
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• pp.125-145
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• 2011

Facilitating critical thinking is important for students' cognitive growth and knowledge acquisition. This study examines the dimensions of tutors' roles in facilitating the critical thinking required for problem solving in online discussions. The research procedures include identifying the research problems related to critical thinking skills; synthesizing theories and perspectives on critical thinking skills; and analyzing, validating, and determining tutors' roles. Using the results of this study, problem solving processes are divided into four phases: analyzing, judging, inferencing, and meta-cognitively evaluating. Tutors' roles in online problem solving can be categorized into four domains: cognitive, social, managerial, and technical. Tutors' roles in each domain are specifically analyzed, and the strengths, weaknesses, and improvements in tutors' facilitation of critical thinking for online problem solving are evaluated.

• Journal of Korean Academy of Nursing
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• v.34 no.5
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• pp.712-721
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• 2004

Purpose: This investigation examined the effect of PBL on the meta-cognition, critical thinking, and problem solving process. Method: The research design was pre-posttest with a none qui valent control group design. Scenarios for PBL sessions were developed on the basis of textbooks and patients' charts and tested for content validity. Seventy six nursing students who took a 'Nursing Process' course from two nursing schools participated in the experimental group and control group. The experimental group performed PBL during the semester. Meta-cognition and problem solving processes were assessed by questionnaires which were developed using pedagogics. Critical thinking was measured by the CCTST(California Critical Thinking Skill Test) Form 2000. The data was analyzed by repeated measure (pretest-posttest) MANOVA, and correlation analysis. Result: PBL improved the participants' meta-cognition and problem solving process but not critical thinking. The relationship between meta-cognition and the problem solving process was supported but the relationship between critical thinking and problem solving was not supported. Conclusion: These results suggest that PBL has a positive effect on nursing students' educational outcomes. To improve the problem solving ability of nursing students, PBL should be applied to more subjects in the nursing curriculum.

• Journal for History of Mathematics
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• v.29 no.1
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• pp.17-30
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• 2016

This study focused on the selection and application of mathematical problems to provide mathematically challenging tasks for the gifted elementary students. For the selection, a mathematical problem from <算術管見> of Joseon dynasty, '圓容三方互求', was selected, considering the participants' experiences of problem solving and the variety of approaches to the problem. For the application, teaching strategies such as individual problem solving and sharing of the solving methods were used. The problem was provided for 13 mathematically gifted elementary students. They not only solved it individually but also shared their approaches by presentations. Their solving and sharing processes were observed and their results were analyzed. Based on this, some didactical considerations were suggested.

• The Journal of Korean Association of Computer Education
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• v.14 no.1
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• pp.13-21
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• 2011

The purpose in this paper is to provide the theoretical framework of characteristics of programming thinking processes in computational literacy education. That is, we developed the theoretical framework through analyzing novices' cognitive thinking processes, applied it to the real situation about computational literacy problem-solving processes and defined characteristics of the processes. For this purpose, we tried to analyze characteristics of programming thinking processes of novices by using think-aloud method. Also we developed the programming process code about novices' cognitive processes and programming processes, and analyzed the process that novice faced and overcame programming barriers by using qualitative research tool, Nvivo. As a result, we found what characteristics of programming problem-solving processes were and how novices used the thinking skill in the process. This study contributes to understand programming problem-solving processes and provides the criterion to analyze the processes scientifically.