• The Mathematical Education
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• v.53 no.1
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• pp.75-92
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• 2014

In this paper, we summarize briefly some of the most salient features of Repkina & Zaika's theory of learning action formation levels. We concretize Repkina & Zaika's theory by comparing various points of view of Uoo, Polya, Krutetskii, and Davydov et al. In this study we are able to diagnose students' learning action formation levels in the process of mathematics problem solving. In addition we use interview method to collect various information about students' levels. As a result we suggest data related with each level of learning action formation, and characteristics of students who belong to each level of learning action formation.

• Journal of Engineering Education Research
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• v.26 no.3
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• pp.35-41
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• 2023

The study was conducted to develop two parallel short forms for the Convergent thinking and Problem solving questionnaires which are part of H University's core competency diagnostic tools, based on Multi-Item Response Theory. Item responses of 2,580 students were analyzed using Graded Response Model(GRM) to determine item difficulty and discrimination of each item. The research results are as follows. Two parrallel short tests were developed for the Convergent thinking questionnaire consisting of 12 items which were originally 17 items. Likewise, the Problem solving questionnaire, which originally consisted of 15 questions, was divided into two parallel short forms, each consisting of 9 items. The reliability of the shortened parallel tests was confirmed through internal consistency analysis, and their similarity to the original tests was established through correlation analysis. This study contributed to quality management of competency-based education and programs at H University by developing shortened tests. Based on the results, implications were presented as well as limitations and discussions.

• Educational Technology International
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• v.11 no.1
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• pp.93-117
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• 2010

The purpose of this study was to develop the problem solving instruction facilitating novice learner to represent the problem. For the purpose, we mainly focused on three aspects of problem solving. First, learner should represent the targeted problem and its solutions for problem solving. Second, from crucial notions of cognitive load theory, learner's mental load should be optimized for problem representation. Third, for optimizing students' mental load, experts may support making their thinking more visible and mapping from their intuition to expert practice. We drew the design principles as follows. First, since providing worked examples for the targeted problem has been considered to minimize analogical errors as well as reduce cognitive load in problem representation at line of problem solving and instructional research, it is needed to elaborate the way of designing. The worked example alternatively corresponds to expert schema that consists of domain knowledge as well as strategies for expert-like problem representation and solution. Thus, it may help learner to represent what the problem is and how to solve it in problem space. Second, principle can be that expert should scaffold learner's self-explanations. Because the students are unable to elicit the rationale from worked example, the expert's triggering scaffold may be critical in that process. The unexplained and incomplete parts of the example should be completed not by expert's scaffold but by themselves. Critical portion of the expert's scaffold is to explain about how to apply and represent the given problem, since students' initial representations may be reached at superficial or passive pattern of example elaboration. Finally, learner's mental model on the designated problem domain should be externalized or visualized for one's reflection as well as expert's scaffolding activities. The visualization helps learner to identify one's partial or incorrect model. The correct model of learner could be constructed by expert's help.

• Journal of applied mathematics & informatics
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• v.30 no.5_6
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• pp.719-728
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• 2012

In this paper, we develop a numerical method to solving an optimal control problem, which is governed by a parabolic partial differential equations(PDEs). Our approach is to approximate the PDE problem to initial value problem(IVP) in $\mathbb{R}$. Then, the homogeneous part of IVP is solved using semigroup theory. In the next step, the convergence of this approach is verified by properties of one-parameter semigroup theory. In the rest of paper, the original optimal control problem is solved by utilizing the solution of homogeneous part. Finally one numerical example is given.

• Journal of Engineering Education Research
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• v.15 no.1
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• pp.61-71
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• 2012

The core issue of ethical problem solving in engineering is to understand what exactly happened and to define its nature. Problems often arise mostly in morally complex situations. Traditional philosophical theories usually focus on extreme conflicts of interest and suggest moral theory-centered problem solving methods. However, these methods are not only difficult to specifically apply to real situations, but also are likely to fail to deal with actual moral issues in engineering fields. This study aims to develop more desirable ethical problem solving methods, based on STS (Science and Technology Studies) and engineering ethics combined. First, we have examined the engineering ethics with implications of an STS perspective, then have analyzed traditional ethical problem solving methods in a critical point of view. This study will suggest a new ethical problem solving method named Matrix Guide, based upon those analyses. Specifically, this study classifies four stages of problem definition, analysis, solving, and feedback. Here, we focus on how to combine technological and non-technological factors in each stage, when we are facing morally complex situations in engineering sectors.

• The Journal of Korean Institute for Practical Engineering Education
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• v.4 no.2
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• pp.1-6
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• 2012

This paper introduces a model of practice education for creative problem solving, using five steps on CPS. Learners can get the motivation about development of creative thinking and problem solving skill through the theory of CPS. Furthermore, they can apply problem solving skill to various problem. As a result of the study, the learners could realize the importance of the problem definition and the creative problem solving method. We proposed a guideline about five steps of CPS method and a method about idea evaluation. So, we established the education model about leaners can get the creative problem-solving skill more efficiently.

• Proceedings of the Safety Management and Science Conference
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• 2008.11a
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• pp.633-639
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• 2008

Recently, product-reliability and process-reliability in product development processes has been regarded as an important issue in many manufacturers. TRIZ which is theory for inventive solving is required to obtain reliability of each process. To solve the technological problems, TRIZ provides problems can be occurred in product development processes as a contradiction matrix based on 40 creative invention principles with alternatives for physical and technological contradiction. This paper suggests the method for inventive solving to ensure the reliability assurance of product development processes based on TRIZ.

• Proceedings of the Korean Society for Quality Management Conference
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• 1998.11a
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• pp.531-543
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• 1998

TRIZ, the Russian acronym for Theory of Inventive Problem Solving(TIPS) is introduced in this paper. The core concepts of TRIZ such as levels of inventions, patterns of technological evolution, technical and physical contradictions are explained. It is also discussed that how TRIZ can be applied to quality function deployment in order to overcome negative correlations(i.e., trade-off relationships) between engineering characteristics. Some case examples are presented for the purpose of explanation.

• Journal of Practical Engineering Education
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• v.9 no.2
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• pp.91-98
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• 2017

To produce highly creative students, engineering education must develop both problem recognition skills and the ability to solve problems independently. Chonnam National University has been developing a creativity program in which students identify and solve problems themselves. Initially, the primary focus was on solving problems, but this was unsuccessful at attracting the students' interest. To overcome this, we adopted Csikszentmihalyi's flow theory in our creativity program, much like the way this theory is used in computer games. As a result of adopting flow theory, we achieved our goal. Thus, in this paper, we will introduce Chonnam National University's creativity program (designed based on flow theory), which we will call the Self-Directed Creativity-Upgrade Program. Furthermore, we will discuss the impact of this program based on statistical analyses.

• School Mathematics
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• v.1 no.2
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• pp.617-636
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• 1999

This study was executed with the intention of guiding ‘open education’ toward a desirable school innovation. The basic two directions of curriculum reconstruction essential for implementing ‘open education’ are one toward intra-subject (within a subject) and inter-subject (among subjects). This study showed an example of intra-subject curriculum reconstruction with a problem solving area included in elementary mathematics curriculum. In the curriculum, diverse strategies to enhance ability to solve problems are included at each grade level. In every elementary math textbook, those strategies are suggested in two chapters called ‘diverse problem solving’, in which problems only dealing with several strategies are introduced. Through this method, students begin to learn problem solving strategies not as something related to mathematical knowledge or contents but only as a skill or method for solving problems. Therefore, problems of ‘diverse problem solving’ chapter should not be dealt with separatedly but while students are learning the mathematical contents connected to those problems. Namely, students must have a chance to solve those problems while learning the contents related to the problem content(subject). By this reasoning, in the name of curriculum reconstruction toward intra-subject, this study showed such case with two ‘diverse problem solving’ chapters of the 4th grade second semester's math textbook.