• The Journal of Korean Association of Computer Education
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• v.11 no.6
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• pp.39-51
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• 2008

There exist many differences between the revised Informatics curriculum in 2007 and the current Informatics curriculum in junior-high school. The revised Informatics curriculum emphasized on the computer science principles and problem solving ability instead of the application program usage. Since the revised Informatics curriculum introduces a new section called 'Problem-solving methods and procedures', which is not included in the current computer curriculum, the development of achievement standards and assessment standards were needed in this section. This paper developed the achievement standards and assessment standards in 'Problem-solving methods and procedures' section in order to give the guideline of the teaching strategies and evaluation methods in the revised Informatics curriculum.

• The Journal of Korean Association of Computer Education
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• v.9 no.5
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• pp.41-51
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• 2006

The purpose of this study is to verify learning components to be taught in each grade of middle schools, to propose hierarchical structures on algorithm content, and to resolve overlapping across related subjects. In order to verify learning components, four criteria were proposed. To evaluate practical application, they were implemented into The Proposal of Curriculum Revision on Computer Education in Middle School on MPE website. It was found that there was content overlapping between 'problem solving methods and procedures' in the middle school Informatics Curriculum and 'regulation and problem solving' in the Elementary Mathematics Curriculum. So it is needed to find a way to differentiate the contents of 'problem solving methods and procedures' from the other related subjects.

• The Journal of Korean Association of Computer Education
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• v.11 no.1
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• pp.33-46
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• 2008

There exist many differences between new Informatics curriculum and the current Computer curriculum. Since the new curriculum introduces new section of "Problem-solving methods and procedures" which are not included in current computer curriculum, it is required to define and specify objectives and content units of "problem solving methods" and "programming" topics for the new section. In this paper, we define and specify the objectives and detailed contents by surveying various computer curriculums used in many other countries. Then, the specified objectives and content units are validated by a group of computer education experts. The final results of specified objectives show that areas of "comprehension", "application" and "synthesis" take relatively high percentage over the other areas. In the content specification, we set the content structure by describing how to solve a given real-world problem with a non-computerized way, followed by representing or transforming it with a corresponding computerized model.

• The Journal of Korean Association of Computer Education
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• v.15 no.1
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• pp.1-11
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• 2012

Developing middle and high students' information literacy and creative problem-solving skills in this information-oriented society is very important and for this reason, the subject of informatics has been established. However, little research on creative problem solving literacy of informatics textbooks has been conducted. Therefore, the purpose of this paper is to quantitatively analyze whether 'problem-solving methods and procedures' parts in informatics textbooks in middle schools present creative problem solving literacy or not and in what degree. Data were quantitatively analyzed using the Gil-Su Choi method. The result of data analysis indicated that all the textbooks turned out to be correct range in the category of the "composition of various learning activities," but got out of range in some categories such as "problem-solving process reflection" and "problem-solving strategy proposal". Also a few textbooks haven't satisfied in important indexes and activities. So, we suggest that more 'problem-solving process reflection' and 'problem-solving strategy proposal' parts should be included in the informatics textbook and more various forms of learning activities be utilized well as the ratio of activities needed primary and high mental processes be kept the balance.

• Journal of Elementary Mathematics Education in Korea
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• v.1 no.1
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• pp.67-86
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• 1997

The purposes of this paper are to show problem-solving strategies and their typical problems to suggest specific ways to teach strategies to promote problem-solving abilities. (1) Problem-solving strategies can be divided into general strategies and specific strategies. General strategies refer to procedural teaching-learning activities based on Polya's 4 step problem-solving. Specific strategies refer to Lenchner's 12 problem solving strategies and their characteristics which are helpful to the substantial solution of specific problems. (2) Concerning to problem-solving strategies teaching, the followings are suggested. First, the sequence of strategy teaching should be from easy to difficult ones, from short to long ones. Second problems for strategy training should be simple and good enough to serve as examples of the strategies. Repetition with similar problems are needed. Third, analysis and comparison of various strategies, and extension and adaptation of the strategies to complicate problems are needed. Fourth, procedures of strategies teaching are the follows: Have students make their own strategies focused on the solution process; Have students solve the problems with expectation of the solving methods; Have students compare and reflect on their solving methods; And assess problem - solving processes.

• Journal of the Korea Society of Computer and Information
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• v.17 no.8
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• pp.189-201
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• 2012

The purpose of this study is to develop an effective teaching model for the "Problem solving methods and procedures" section in the revised academic high school informatics curriculum, verify its effectiveness, make the subject more effective and appealing to teachers as well as students. The model includes a middle school level informatics curriculum for the students who have yet to learn the section. This development follows the ADDIE model, and the Python programming language is adopted for the model. Using the model, classes were conducted with two groups: high school computer club students and undergraduate students majoring in computer education. Of the undergraduate students 75% responded positively to the model. This model was applied in the actual high school classroom teaching for 23 class-hours in the spring semester 2012. The Pearson correlation coefficient that verifies the correspondence between the PSI score and the informatics midterm exam grade is .247, which reflects a weak positive correlation. The result of the study showed that the developed teaching model is an effective tool in educating students about the "problem solving methods and procedures". The model is to be a cornerstone of teaching/learning plans for informatics at academic high school as well as training materials for pre-service teachers.

• The Mathematical Education
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• v.58 no.1
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• pp.79-99
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• 2019

This study is a study to collect information about 'Limitations of functions' related learning. Especially, this study was conducted on three students who can find answers by algebraic procedure in the process of extreme problem solving. Students have had the experience of converting from their algebraic procedures to graphical expressions. This shows how they reflect on their algebraic procedures. This study is a study that observes these parts. To accomplish this, twelfth were teaching experiment in three high school students. And we analyzed the contents related to the research topic of this study. Through this, students showed the difference of expressions in the method of finding limits by using algebraic interpretation methods and graphs. In addition, we examined the connectivity of the limitations of functions problem solving process of functions using algebraic procedures and graphs in the process of converting algebraic expressions to graph expressions. This study is a study of how students construct limit concepts. As in this study, it is meaningful to accumulate practical information about students' limit conceptual composition. We hope that this study will help students to study limit concept development process for students who have no limit learning experience in the future.

• Journal of Elementary Mathematics Education in Korea
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• v.17 no.1
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• pp.67-86
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• 2013

The purpose of this study is to analyze selection of factors of Schoenfeld's problem solving behavior shown in problem solving process of mathematically gifted students based on brain preference of the students and to present suggestions related to hemispheric lateralization that should be considered in teaching such students. The conclusions based on the research questions are as follows. First, as for problem solving methods of the students in the Gifted Education Center based on brain preference, the students of left brain preference showed more characteristics of the left brain such as preferring general, logical decision, while the students of right brain preference showed more characteristics of the right brain such as preferring subjective, intuitive decision, indicating that there were differences based on brain preference. Second, in the factors of Schoenfeld's problem solving behavior, the students of left brain preference mainly showed factors including standardized procedures such as algorithm, logical and systematical process, and deliberation, while the students of right brain preference mainly showed factors including informal and intuitive knowledge, drawing for understanding problem situation, and overall examination of problem-solving process. Thus, the two types of students were different in selecting the factors of Schoenfeld's problem solving behavior based on the characteristics of their brain preference. Finally, based on the results showing that the factors of Schoenfeld's problem solving behavior were differently selected by brain preference, it may be suggested that teaching problem solving and feedback can be improved when presenting the factors of Schoenfeld's problem solving behavior selected more by students of left brain preference to students of right brain preference and vice versa.

• Journal of Korean Elementary Science Education
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• v.25 no.1
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• pp.27-38
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• 2006

The purpose of this study was to develop a test of a creative problem solving (CPS) for the selection of gifted science students in elementary school. For this, the methods and procedures of the selection of gifted science students was investigated through the internet homepages 23 gifted science education centers of universities and 16 city. province offices of education. The results of this study were as follows: Most of the gifted science students were selected through a multi-step examination process. They were selected on the basis of their records by recommendation of a principal or a classroom teacher in their school, by operation of standardized tests (ex. intelligence quotient score, achievements in science and mathematics, interest and attitude/aptitude for science as well as through other means), as well as through intensive observation of those gifted science students who are selected by interview and oral tests. The selection of gifted students was not evaluated through creativity testing; giftedness in city. province office of education. Testing of CPS was found to be especially lacking in these organizations. For the development of the test items of CPS in science, the five elements were extracted through the framework for the content analysis of the CPS: problem exploration, problem statement, solution thinking, experiment design, and assesment. In addition, suggestions were made regarding an appropriate scoring system for the test of the CPS. As the result of the developed test was applied to the 4th grade of the gifted and general student, we found that gifted students were superior to general students. In conclusion, it was that the CPS test developed in this study should be used to evaluate the CPS for the selection of gifted students.

• Journal of applied mathematics & informatics
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• v.4 no.1
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• pp.83-108
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• 1997

Chebysheff-Halley methods are probably the best known cubically convergent iterative procedures for solving nonlinear equa-tions. These methods however require an evaluation of the second Frechet-derivative at each step which means a number of function eval-uations proportional to the cube of the dimension of the space. To re-duce the computational cost we replace the second Frechet derivative with a fixed bounded bilinear operator. Using the majorant method and Newton-Kantorovich type hypotheses we provide sufficient condi-tions for the convergence of our method to a locally unique solution of a nonlinear equation in Banach space. Our method is shown to be faster than Newton's method under the same computational cost. Finally we apply our results to solve nonlinear integral equations appearing in radiative transfer in connection with the problem of determination of the angular distribution of the radiant-flux emerging from a plane radiation field.