• Research in Mathematical Education
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• v.8 no.2
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• pp.81-93
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• 2004

This study investigated three preservice teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of preservice teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

• The Mathematical Education
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• v.58 no.4
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• pp.519-530
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• 2019

According to previous studies, meta-affect based on the interaction between cognitive and affective elements in mathematics learning activities maintains a close mechanical relationship with the learner's mathematical ability in a similar way to meta-cognition. In this study, in order to grasp these characteristics phenomenologically, small group problem-solving cases of 5th grade elementary mathematically gifted children were analyzed from a meta-affective perspective. As a result, the two types of problem-solving cases of mathematically gifted children were relatively frequent in the types of meta-affect in which cognitive element related to the cognitive characteristics of mathematically gifted children appeared first. Meta-affects were actively acted as the meta-function of evaluation and attitude types. In the case of successful problem-solving, it was largely biased by the meta-function of evaluation type. In the case of unsuccessful problem-solving, it was largely biased by the meta-function of the monitoring type. It could be seen that the cognitive and affective characteristics of mathematically gifted children appear in problem solving activities through meta-affective activities. In particular, it was found that the affective competence of the problem solver acted on problem-solving activities by meta-affect in the form of emotion or attitude. The meta-affecive characteristics of mathematically gifted children and their working principles will provide implications in terms of emotions and attitudes related to mathematics learning.

• Journal for History of Mathematics
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• v.17 no.3
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• pp.109-120
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• 2004

This study investigated three pre-service teachers' mathematical problem solving among hand-in-write-ups and final projects for each subject. All participants' activities and computer explorations were observed and video taped. If it was possible, an open-ended individual interview was performed before, during, and after each exploration. The method of data collection was observation, interviewing, field notes, students' written assignments, computer works, and audio and videotapes of pre- service teachers' mathematical problem solving activities. At the beginning of the mathematical problem solving activities, all participants did not have strong procedural and conceptual knowledge of the graph, making a model by using data, and general concept of a sine function, but they built strong procedural and conceptual knowledge and connected them appropriately through mathematical problem solving activities by using the computer technology.

• Korean Journal of Child Studies
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• v.21 no.1
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• pp.3-17
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• 2000

This study investigated the effects of autonomous rule-making and rule-keeping activities on young children's interpersonal cognitive problem solving. The 20 five-year-old children in the experimental group participated in 6-step activities for autonomous rule-making and rule-keeping. The interpersonal cognitive problem solving Test was used to measure children's interpersonal cognitive problem solving thinking. The results of the ANCOVA revealed a significant difference between experimental and control groups in children's interpersonal cognitive problem solving thinking but not in alternative solution thinking.

• Journal of Engineering Education Research
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• v.24 no.3
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• pp.58-69
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• 2021

It is very necessary to have a creative problem-solving capacities to learn various majors and liberal arts based on the major, and to solve the bottleneck techniques led by students. In this study, the existing creative problem-solving curriculums, 'Methodology of Inventive Problem Solving' based on TRIZ, were improved and applied, and industrial bottleneck techniques were provided to students to solve these techniques. To improve the curriculum, 1) improvement of instructional objectives and learning contents, 2) improvement of evaluation methods and contents (reflecting the evaluation of instructor and students), and 3) learning satisfaction survey were conducted in the following order. As a result of the application of the improved curriculum, the level of activities for each team was improved, and when the core process was well understood, the evaluation of team activities was also excellent, but there was a tendency to focus on methods that are relatively easy to apply in the problem solving process. In the final exam (learning contents evaluation), teams with difficult understanding of the TRIZ theory or low team activities showed a relatively high trend, but the difference in level between divisions was slightly reduced.

• School Mathematics
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• v.4 no.1
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• pp.111-125
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• 2002

In this study, we studied some examples using GSP(Geometer's SketchPad) in the process of problem solving that is explained by G. polya. After reconsidering examples, we tried to show that using GSP can help student's intuitive thinking, investigative activities, reflective thinking. Especially, in the three phase of problem solving(understanding the problem, devising a plan, looking back), mathematics teachers may using GSP in order to helping student's understanding. Besides, we tried to suggest the direction to use GSP more adequately in the teaching and Beaming mathematics. First of all, Mathematics teachers using GSP in their class must have ideas how to use it. And they have to be careful on the didactical transposition of mathematical knowledge in the computer-based learning. They also have to lead students move from activities with GSP materials to carrying out the problem solving plan and reflection activities.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.8 no.12
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• pp.1-10
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• 2018

The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

• Journal of the Korean Society of Earth Science Education
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• v.4 no.2
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• pp.102-107
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• 2011

In this study, elementary school science program, this category did not affect any troubleshooting analyzed. Thinking Science Program to buy for them in group activities by using one of the elements of a program of treatment and cognitive level effects were two kinds of research questions. 102, 5th grade four classes were involved, these two classes of the experimental group and the remaining two classes were divided into a control group. Pre-test between the two groups is compared to the level and classification problem-solving skills but the skills did not show a statistically significant difference. Thinking Science activity after application of classification and posttest the experimental group than in the control group problem solving abilities of students classified at the level of statistical significance was higher. Thinking Science program is a treatment effect for each level of analysis, tests, regardless of cognitive level was more effective. Through theses findings, Thinking Science activities 5th grade category classification problem-solving skills of students found to be effective in improving and these types of programs actively introduced in the field suggests that we need to see.

• The Journal of Korea Robotics Society
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• v.12 no.3
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• pp.287-296
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• 2017

Robots are used in early childhood education as a new instructional media, and educational activities using robots have been increased. So the purpose of this study is to investigate the effect of educational activities using hands-on robots on logic-mathematical knowledge and creative problem-solving ability of young children. The total number of subjects was 43, and they were all five-year-old children. The experimental group and control group did activities with hands-on robots and general free activities, respectively. Results using ANCONA have shown that the activities with hands-on robots positively affected logic-mathematical knowledge and creative problem-solving ability of young children. These meaningful results have shown the possibility of early childhood educational use as the effectiveness of hands-on robots has come out.

• Korean Journal of Child Studies
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• v.28 no.4
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• pp.319-331
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• 2007

This review of literature establishes a contemporary meaning of mathematical problem solving including young children's mathematical problem solving processes/assessments and teaching strategies. The contemporary meaning of mathematical problem solving involves complicated higher thinking processes. Explanations of the mathematical problem solving processes of young children include the four steps suggested by $P{\acute{o}}lya$(1957) : understand the problem, devise a plan, carry out the plan, and review/extend the plan. Assessments of children's mathematical problem solving include both the process and the product of problem solving. Teaching strategies to support children's mathematical problem solving include mathematical problems built upon children's daily activities, interests, and questions and helping children to generate new approaches to solve problems.