• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.277-293
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• 2011

The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

• Hwankyungkyoyuk
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• v.20 no.4
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• pp.84-96
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• 2007

The purpose of this study is to develop instruction model of environmental problem process focused with environmental justice. This study has analyzed environmental problem solution process in social studies of elementary school from 4th grade to 6th grade with it. The results of this study are as follows. First, social studies of elementary school didn't show distributive justice in environmental problem solving process. Second, procedural justice existed, but offered information is lacking to each main group. Third, substantive justice was emphasized personal viewpoint. We developed instruction model of environmental problem solving process based upon the results. Component of instruction model is problem analysis, distributive justice, procedural justice, substantive justice and evaluating a solution. Timely, teachers can use and can apply it in social studies class. In conclusion, it is strongly recommend to teach environmental education linked with environmental justice. It enables us enhance a new awareness and attitudes towards sustainable development.

• Journal of Applied Reliability
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• v.15 no.1
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• pp.12-18
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• 2015

TRIZ is one of the most famous tools for creative problem solving. However, it is said that TRIZ is complicated and difficult to understand and apply to solve problems. In order to resolve these difficulties, this paper presents S-ARIZ, a simplified ARIZ(the algorithm for inventive problem solving). S-ARIZ revised ARIZ-85C on two ways. First, cause and effect analysis is used to define core technical contradictions and control parameters for the physical contradictions. Second, we add 5 inventive principles which revised SIT(systematic inventive thinking) partially to IFR-1 definition (Step 3-2 of ARIZ-85C) to solve the intensified technical contradictions systematically and effectively. It is expect that S-ARIZ can contribute to the rapid spread of TRIZ.

• Educational Technology International
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• v.6 no.2
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• pp.69-85
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• 2005

The purpose of the article is to address a new instructional approach to a complex engineering course. We design a novel instructional method that combines mobile technology, simulation program, collaborative teamwork, problem-solving process, and a variety of evaluation techniques. We suggested five instructional principles that might be required to change the fundamental educational process by which learning is done. The proposed instructional method is expected to aspire for new perspectives on complex learning environment. Nevertheless we solely began by the research on the development of students' complex problem-solving performance in a complex engineering course, the new instructional method in the article can promote the adoption of new instructional methods and strategies across different knowledge domains. In addition, the instructional method can provide a valuable bridge to acquisition and transfer of problem solving, motivation, and meaning learning.

• Journal for History of Mathematics
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• v.22 no.3
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• pp.113-130
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• 2009

It can be said that the teaching and learning of mathematical problem solving has been greatly influenced by G. Polya. His heuristics shows down the explicit process of mathematical problem solving in detail. In contrast, Polanyi highlights the implicit dimension of the process. Polanyi's theory can play complementary role with Polya's theory. This study outlined the epistemology of Polanyi and his theory of problem solving. Regarding the knowledge and knowing as a work of the whole mind, Polanyi emphasizes devotion and absorption to the problem at work together with the intelligence and feeling. And the role of teachers are essential in a sense that students can learn implicit knowledge from them. However, our high school students do not seem to take enough time and effort to the problem solving. Nor do they request school teachers' help. According to Polanyi, this attitude can cause a serious problem in teaching and learning of mathematical problem solving.

• 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.

• School Mathematics
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• v.14 no.4
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• pp.579-598
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• 2012

Since elementary school students are in the concrete operational stages, they have to learn mathematics using intuitive methods. So teachers have to have knowledge on the intuition. In this paper we investigated specialized content knowledge on the intuition which have 8 elementary school teachers in problem solving process. They were asked to solve 8 problems in the questionnaire which were provided by the www.mathlove.net. As a result we found that 7 elementary school teachers have a lack of understand on the intuition in problem solving process.

• The Mathematical Education
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• v.55 no.1
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• pp.21-39
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• 2016

This research examined the Korean and American $6^{th}$ grade students' mathematical problem solving ability and methods via an intuitive thinking. For this, the survey research was used. The researcher developed the questionnaire which consists of problems with intuitive and algorithmic problem solving in number and operation, figure and measurement areas. 57 Korean $6^{th}$ grade students and 60 American $6^{th}$ grade students participated. The result of the analysis showed that Korean students revealed a higher percentage than American students in correct answers. But it was higher in the rate of Korean students attempted to use the algorithm. Two countries' students revealed higher rates in that they tried to solve the problems using intuitive thinking in geometry and measurement areas. Students in both countries showed the lower percentages of correct answer in problem solving to identify the impact of counterintuitive thinking. They were affected by potential infinity concept and the character of intuition in the problem solving process regardless of the educational environments and cultures.

• Journal of Educational Research in Mathematics
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• v.16 no.4
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• pp.345-366
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• 2006

In this study, we investigated the methods of using the Cabri3D program for education of problem solving in school mathematics. Cabri3D is the program that can represent 3-dimensional figures and explore these in dynamic method. By using this program, we can see mathematical relations in space or mathematical properties in 3-dimensional figures vidually. We conducted classroom activity exploring Cabri3D with 15 pre-service leachers in 2006. In this process, we collected practical examples that can assist four stages of problem solving. Through the analysis of these examples, we concluded that Cabri3D is useful instrument to enhance problem solving ability and suggested it's educational usage as follows. In the stage of understanding the problem, it can be used to serve visual understanding and intuitive belief on the meaning of the problem, mathematical relations or properties in 3-dimensional figures. In the stage of devising a plan, it can be used to extend students's 2-dimensional thinking to 3-dimensional thinking by analogy. In the stage of carrying out the plan, it can be used to help the process to lead deductive thinking. In the stage of looking back at the work, it can be used to assist the process applying present work's result or method to another problem, checking the work, new problem posing.

• 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.