• Education of Primary School Mathematics
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• v.23 no.2
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• pp.73-85
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• 2020

The purpose of this study was to examine the influence of the auxiliary questions of word problems presented to students on their problem solving-strategies and mathematical thinking and to discuss the educational implications of the results. As a result of making an analysis, problems that included auxiliary questions to give information on workable problem-solving strategies made it more possible for students of different levels to do relatively equal mathematical thinking than problems that didn't by inducing them to adopt efficient problem-solving strategies. And they were helpful for the students in the middle and lower tiers to find a clue for problem solving without giving up. But it's unclear whether the problems that provided possible strategies through the auxiliary questions stirred up the analogical thinking of the students. In addition, due to the impact of the problems provided, some students failed to adopt a strategy that they could have come up with on their own. On the contrary, when the students solved word problems that just offered basic recommendation by minimizing auxiliary questions, the upper-tiered students could devise various strategies, but in the case of the students in the middle and lower tiers, those who gave up easily or who couldn't find an answer were relatively larger in number.

• Education of Primary School Mathematics
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• v.12 no.2
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• pp.117-132
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• 2009

The purpose of this study was analysis on types of strategies and errors when the sixth grade students were solving proportion problems of mathematics textbooks. For this study, proportion problems in mathematics textbooks were investigated and 17 representative problems were chosen. The 277 students of two elementary schools solved the problems. The types of strategies and errors in solving proportion problems were analyzed. The result of this study were as follows; The percentage of correct answers is high if the problems could be solved by proportional expression and the expression is in constant rate. But the percentage of correct answers is low, if the problems were expressed with non-constant rate.

• Journal of The Korean Association For Science Education
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• v.32 no.10
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• pp.1489-1501
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• 2012

The purpose of this study was to search for effective strategies on teaching open-inquiry by comparing students' and teachers' recognition of its difficulties and helpful strategies. This study focused on the cases of science high school students and their teachers, who carried out open-inquiry to participate in KYPT. This research was conducted through participant observation, questionnaires, and interviews. The research findings were as follows: students stated that planning and doing experiments were the most difficult parts, whereas teachers viewed that their students had difficulties in analyzing data and making a conclusion. With respect to the effective strategy, students stated that they gained many ideas from peer discussions although they have had to carry out their individual tasks. On the contrary, teachers thought that reference materials and the discussions with teachers were most helpful. There were clear differences between students' and their teachers' recognition toward open-inquiry and the gap needs to be closed. Consequently, it would be useful to guide students to form teams and to spend more time in peer discussions especially when doing experiments and to encourage teachers to understand students' actual difficulties and needs.

• Journal of the Korean Chemical Society
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• v.55 no.5
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• pp.857-874
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• 2011

The purposes of this study were to develop teaching strategy enhancing creative problem solving skills and to examine the instructional influences on studints' creative thinking skills, critical thinking skills, creative personality and academic self-regulation. In this study, a model using inter-disciplinary analogies(PDCA model) was designed and applied to the existing 'Teaching model for the enhancement of the creative problem solving skills'. And it was implemented to preservice science teachers for the one semester. Results indicated that the experimental group presented statistically meaningful improvement in creative thinking skills, especially in the originality of identifying a problem, making hypothesis, and controlling variables (p<.05). In addition, the strategy contributed to improving critical thinking skills, especially in inquiry process of recognizing problems, making hypothesis, interpreting and transforming of data (p<.05). This strategy also helped students' academic self-regulation (p<.05). But there was no significant improvement in creative personality(p<.05).

• Education of Primary School Mathematics
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• v.15 no.2
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• pp.59-75
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• 2012

This study aims to find whether the solutions for well-structured problems learned in school can be transferred to the moderately-structured problem and ill-structured problem. For these purpose, research questions were set up as follows: First, what are the patterns of changes in strategies used in solving the mathematics problems with different level of structuredness? Second, From the group using and not using proportion algorithm strategy in solving moderately-structured problem and ill-structured problem, what features were observed when they were solving that problems? Followings are the findings from this study. First, for the lower level of structuredness, the frequency of using multiplicative strategy was increased and frequency of proportion algorithm strategy use was decreased. Second, the students who used multiplicative strategies and proportion algorithm strategies to solve structured and ill-structured problems exhibited qualitative differences in the degree of understanding concept of ratio and proportion. This study has an important meaning in that it provided new direction for transfer and analogical problem solving study in mathematics education.

• Journal of The Korean Association For Science Education
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• v.26 no.1
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• pp.1-8
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• 2006

This study investigated the causal relationships between high school student multiple-choice algorithmic chemistry problem solving and 1) the motivational variables of achievement goal (task goal/performance goal/performance-avoidance) and perceived ability, and 2) the cognitive variables of learning strategy (deep learning/surface learning) and self-regulation. Path analysis supported a causal model in which perceived ability and task goal were found to positively influence algorithmic chemistry problem-solving ability via self-regulation. In particular it was found that perceived ability directly influenced algorithmic chemistry problem-solving ability. Moreover, deep learning was found to have been influenced by perceived ability and task goal, while surface learning was influenced by performance-avoidance goal. Lastly, there did not appear to be any causal relationship between learning strategy and algorithmic chemistry problem-solving ability.

• Journal of The Korean Association For Science Education
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• v.26 no.4
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• pp.546-558
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• 2006

The purpose of this study was to identify heuristically how abduction was used in a context of solving an earth-environmental problem. Thirty two groups of participants with different institutional backgrounds, i,e., inservice earth science teachers, preservice science teachers, and high school students, solved an open-ended earth-environmental problem and produced group texts in which their ways of solving the problem were written, The inferential processes in the texts were rearranged according to the syllogistic form of abduction and then analyzed iteratively so as to find thinking strategies used in the abductive reasoning. The result showed that abduction was employed in the process of solving the earth-environmental problem and that several thinking strategies were used for inferring rules from which abductive conclusions were drawn. The strategies found included data reconstruction, chained abduction, adapting novel information, model construction and manipulation, causal combination, elimination, case-based analogy, and existential strategy. It was suggested that abductive problems could be used to enhance students' thinking abilities and their understanding of the nature of earth science and earth-environmental problems.

• Communications of Mathematical Education
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• v.8
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• pp.209-229
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• 1999

보통 문장제(거리 ${\cdot}$ 속도 문제, 시계 문제, 농도 문제, 개수 세기, 측도 영역)는 초등학교부터 반복하면서 대학수학능력 시험에서는 외적 문제해결력을 측정하는 문장으로 나타난다. 문장제를 해결하는데는 사고가 여러 단계로 이루어져야 한다. 따라서 일반적으로 문장제는 난해하므로 조직적이고 전문적인 학습지도가 이루어져야 한다. 하지만 입시위주의 교육 등 여러 여건상 잘 이루어지지 않고 있는 것이 현실이다. 수학을 잘하는 학생이라도 문장제를 해결하지 못하는 경우가 많다. 본 연구에서는 문장제의 해결의 저해 요인을 완화시킬 수 있는 지도 방안으로서 Polya의 문제해결 전략을 이용하며, 실험반과 비교반의 학습 효과를 비교 분석하여 이를 통하여 효율적인 문장제 지도방안을 연구한다.

• Journal of Educational Research in Mathematics
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• v.22 no.4
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• pp.619-636
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• 2012

The main purpose of this study was to explore the process of generalization generated by mathematically gifted students. Specifically, this study probed how fourth, fifth, and sixth graders might generalize geometric patterns and represent such generalization. The subjects of this study were a total of 30 students from gifted classes of one elementary school in Korea. The results of this study showed that on the question of the launch stage, students used a lot of recursive strategies that built mainly on a few specific numbers in the given pattern in order to decide the number of successive differences. On the question of the towards a working generalization stage, however, upper graders tend to use a contextual strategy of looking for a pattern or making an equation based on the given information. The more difficult task, more students used recursive strategies or concrete strategies such as drawing or skip-counting. On the question of the towards an explicit generalization stage, students tended to describe patterns linguistically. However, upper graders used more frequently algebraic representations (symbols or formulas) than lower graders did. This tendency was consistent with regard to the question of the towards a justification stage. This result implies that mathematically gifted students use similar strategies in the process of generalizing a geometric pattern but upper graders prefer to use algebraic representations to demonstrate their thinking process more concisely. As this study examines the strategies students use to generalize a geometric pattern, it can provoke discussion on what kinds of prompts may be useful to promote a generalization ability of gifted students and what sorts of teaching strategies are possible to move from linguistic representations to algebraic representations.

• The Mathematical Education
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• v.33 no.1
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• pp.75-82
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• 1994

리더를 선출하는 기존의 선거 전략은 노드의 성능을 고려하지 않아서 양질의 리더를 선출할 수 없다. 이러한 문제점을 해결하기 위하여 성능을 고려하여 리더를 선출하는 방안에 대한 연구가 진행 되고 있다. 본 논문에서는 성능을 양방향 지연값을 선호도로 할 때, 선거전략중 다수결 선거 전략을 확률론적으로 분석하였다.