• Journal of the Korean earth science society
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• v.22 no.5
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• pp.339-349
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• 2001

The aim of this study is to explore effective teaching strategies through an investigation of the problem-solving abilities and reasons for the unsuccessful problem solving of pre-service teachers. The participants of the study were 60 pre-service teachers who were expected to teach earth science in elementary school (40) and secondary school (20). The participants had taken a course in astronomy before they took part in the present study. The instruments for the study were a paper-and-pencil test and interviews. The results demonstrated that the pre-service teachers' abilities to solve problems were low. The pre-service teachers of the elementary school were inferior to those of the secondary school in their problem solving abilities. The causes for the unsuccessful problem solving were identified as follows: (1) lack of prerequisite knowledge to understand the motions of the moon and the planets, (2) failure to represent problems based on solution principles, (3) failure to apply the knowledge acquired in one setting to another, different setting, (4) frames of reference the frameworks for everyday life situation and for earth science problem situation, and (5) rote-memorization of facts rather than understanding the cause-and-effect relationships. The above causes for unsuccessful problem solving seemed to be related to the characteristics of novice problem solvers in general and of the tasks about the motions of the moon and the planets. Suggestions are made to enhance pre-service teachers' problem solving abilities based on the result of the study.

• English Language & Literature Teaching
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• v.9 no.spc
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• pp.1-17
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• 2003

This paper aims to propose that Problem-Based Learning (PBL) is a method that can help meet the conditions in language learning and instruction. PBL was first used in medical education, where learners engaged in problem-solving activities that reflect the demands of real-life professional practice, thus promoting critical thinking in the content domain. The paper proposes that by applying PBL in language learning and creating situations in which learners work collaboratively on problems, the learners benefit in two respects: (i) they have the opportunity to practise the kind of thinking skills and problem-solving strategies needed in real life, and (ii) they engage in purposeful language activity with others through discussion and negotiation. The paper first provides a theoretical rationale far the use of PBL in language learning and suggests attendant changes in the role of a language instructor in a PBL context. The paper then presents an outline of the stages and components needed in designing an online PBL Unit far use in an undergraduate language class.

• Journal of Korean Academy of Nursing
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• v.35 no.7
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• pp.1314-1324
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• 2005

Purpose: The purpose of the study was to identify the effects of problem solving nursing counseling and intensified walking exercise on diabetic self-care, coping strategies, and glycemic control among older adults with DM type II. Method: Ninety nine DM patients who were older than 50 were recruited from DM clinics or public health centers and conveniently assigned into three groups: the Polar(n=41), counseling(n=30) and control groups (n=28). Participants in both Polar and counseling groups attended weekly problem solving nursing counseling for 12 weeks. Polar heart rate monitors were used in the Polar group to intensify walking exercise. Data was collected from November 2003 to August 2004 and analyzed by ANOVA or ANCOVA using the SPSS WIN program. Result: After a 12 week intervention, participants in both the Polar and counseling groups reported increased diabetic self care behaviors and decreased blood glucose levels, which is significantly different from those in the control group. There were no distinctively different program effects between the Polar and counseling groups. Conclusion: Based on the findings, we concluded that problem solving counseling alone could have positive effects on diabetic self care and glycemic controls for older adults with DM. Future research is needed to identify long-term effects of the program.

• Journal of Korean Elementary Science Education
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• v.36 no.1
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• pp.73-84
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• 2017

Cultivating creativity is one of the goals in science education. Previous studies report that students use visualization while they solve the creative science problem and it looks helpful to make them think more. For this study three $6^{th}$ grade students were selected in the consideration of pre-test through the qualitative think-aloud method. The results show that even though students have many ideas in planning stage in problem solving, they appeared to visualize familiar and empirical ideas at first. So if teachers want to watch another creative ideas, they tended to give enough time to visualize many ideas. Students drew lines, circles, "X"marks to select or remove information during their problem solving works. They said these marks seem to be useful to understand question. However, removal marks sometimes turn out to block another chance to re-think. Also students did not have a chance to reflect what they did. It means that they lose the chance to do convergent thinking. The implications of this study include the importance of students' visualization works to facilitate their creative ideas and support their problem solving strategies. In this study, we discuss the meaningful messages for teachers who construct science classroom for creativity.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.129-144
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• 2009

The purpose of the study was to investigate the effects of the use of RNP curriculum based on Lesh translation model on third grade students' understandings of fraction concepts and problem solving ability. Students' conceptual understandings of fractions and problem solving ability were improved by the use of the curriculum. Various manipulative experiences and translation processes between and among representations facilitated students' conceptual understandings of fractions and contributed to the development of problem solving strategies. Expecially, in problem situations including fraction ordering which was not covered during the study, mental images of fractions constructed by the experiences with manipulatives played a central role as a problem solving strategy.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.117-145
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• 2006

Mathematically gifted children have creative curiosity about novel tasks deriving from their natural mathematical talents, aptitudes, intellectual abilities and creativities. More effect in nurturing the creative thinking found in brilliant children, letting them approach problem solving in various ways and make strategic attempts is needed. Given this perspective, it is desirable to select open-ended and atypical problems as a task for educational program for gifted children. In this paper, various types of open-ended problems were framed and based on these, teaming activities were adapted into gifted children's class. Then in the problem solving process, the characteristic of bright children's mathematical thinking ability and examples of problem solving strategies were analyzed so that suggestions about classes for bright children utilizing open-ended tasks at elementary schools could be achieved. For this, an open-ended task made of 24 inquiries was structured, the teaching procedure was made of three steps properly transforming Renzulli's Enrichment Triad Model, and 24 periods of classes were progressed according to the teaching plan. One period of class for each subcategories of mathematical thinking ability; ability of intuitional insight, systematizing information, space formation/visualization, mathematical abstraction, mathematical reasoning, and reflective thinking were chosen and analyzed regarding teaching, teaming process and products. Problem solving examples that could be anticipated through teaching and teaming process and products analysis, and creative problem solving examples were suggested, and suggestions about teaching bright children using open-ended tasks were deduced based on the analysis of the characteristic of tasks, role of the teacher, impartiality and probability of approaching through reflecting the classes. Through the case study of a mathematics class for bright children making use of open-ended tasks proved to satisfy the curiosity of the students, and was proved to be effective for providing and forming a habit of various mathematical thinking experiences by establishing atypical mathematical problem solving strategies. This study is meaningful in that it provided mathematically gifted children's problem solving procedures about open-ended problems and it made an attempt at concrete and practical case study about classes fur gifted children while most of studies on education for gifted children in this country focus on the studies on basic theories or quantitative studies.

• 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.

• The Mathematical Education
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• v.60 no.2
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• pp.133-157
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• 2021

Ill-structured problems have drawn attention in that they can enhance problem-solving skills, which are essential in future societies. The purpose of this study is to analyze and evaluate students' spatial reasoning(Intrinsic-Static, Intrinsic-Dynamic, Extrinsic-Static, and Extrinsic-Dynamic reasoning) and problem solving abilities(understanding problems and exploring strategies, executing plans and reflecting, collaborative problem-solving, mathematical modeling) that appear in ill-structured problem-solving. To solve the research questions, two ill-structured problems based on the geometry domain were created and 11 lessons were given. The results are as follows. First, spatial reasoning ability of sixth-graders was mainly distributed at the mid-upper level. Students solved the extrinsic reasoning activities more easily than the intrinsic reasoning activities. Also, more analytical and higher level of spatial reasoning are shown when students applied functions of other mathematical domains, such as computation and measurement. This shows that geometric learning with high connectivity is valuable. Second, the 'problem-solving ability' was mainly distributed at the median level. A number of errors were found in the strategy exploration and the reflection processes. Also, students exchanged there opinion well, but the decision making was not. There were differences in participation and quality of interaction depending on the face-to-face and web-based environment. Furthermore, mathematical modeling element was generally performed successfully.

• Communications of Mathematical Education
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• v.20 no.4 s.28
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• pp.603-619
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• 2006

One of the most important aims in mathematics education is to enhance students' problem-solving abilities. To achieve this aim, in real school classrooms, many educators have examined and developed effective teaching methods, learning strategies, and practical problem-solving techniques. Among those trials, it is noticeable that Engel, Zeits, Shapiro and other not a few mathematicians emphasized 'Invariance Principle' as a mean of solving problems. This study is to consider the basic concept of 'Invariance Principle', analyze 'Invariance' concept in secondary Mathematics contents on the basis of framework of 'Invariance Principle' shown by Shapiro and discuss some instructional issues to occur in the process of it.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.291-305
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• 2009

The purpose of this article is to formulate the base that mathematical thinking power can be improved through activating the metacognitive ability of students in the math problem solving process. The guidance material for activating the metacognitive ability was devised based on a body of literature and various studies. Two high school students used it in their math problem solving process. They reported that their own mathematical thinking power was improved in this process. And they showed that the necessary strategies and procedures for math problem solving can be monitored and controled by analyzing their own metacognition in the mathematical thinking process. This result suggests that students' metacognition does play an important role in the mathematical thinking process.