• Education of Primary School Mathematics
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• v.7 no.1
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• pp.1-14
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• 2003

The purpose of this research is to explore teachers' role actions in teaching mathematical problem solving and to analyze the influences of the teachers'role actions on their students' activities and beliefs about problem solving. The results obtained in this study suggested that the teachers' role actions brought qualitative differences to students' activities, and students' beliefs about mathematical problem solving were consistent with the perspective held by their teachers. Therefore, teachers should help students build up desirable beliefs about problem solving. They should understand teaching mathematical problem solving and play proper roles in various situations of teaching mathematical problem solving.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.385-400
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• 2007

This study pilot tested a researcher-designed instrument based on National Council of Teachers of Mathematics' problem solving standard and middle school teachers' beliefs about teaching problem solving. One hundred twenty four teachers' responses were analyzed. The instrument was validated and found to be reliable. The study found that females and males have significantly different beliefs about teaching problem solving. Age of the teacher did not appear to affect the teaching of problem solving.

• Journal of Elementary Mathematics Education in Korea
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• v.19 no.2
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• pp.123-141
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• 2015

The purpose of this study is to reconsider of teaching mathematics problem solving in Korea's elementary school through an analysis of mathematics curricula and mathematics textbooks of the elementary school. As a result, it is found that the problem solving had been emphasized continually from the 4th curriculum to the 2009 revised curriculum. However, contents in their textbooks did not reflect the intent of the mathematics curricula properly. And amount of contents related to teaching about problem solving in the textbooks reached the peak in the 6th mathematics curriculum. Then teaching about problem solving had been weakened gradually. And it is also revealed that there had been a movement to change to teaching for problem solving in the textbooks of the 2007 and 2009 revised curricula. Teaching via problem solving had not been carried out appropriately so far.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.51-61
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• 2000

Mathematical Problem solving has been the focus of a considerable amount of research over past 30 years. But nowadays problem solving is being beginning to be of less interest to mathematics education researchers. Moreover, mathematics teachers have an urgent need to be provided with well-documented informations about "teaching of(expecially, via) problem solving" though following research issues ：ⅰ) the role of the teacher in a problem-centered classroom, ⅱ) what actually takes place in problem-centered classrooms, and iii) groups and whole classes' problem solving rather than individuals. This paper intends to give some informations about practice of teaching mathematical problem solving in elementary school.ry school.

• The Mathematical Education
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• v.42 no.2
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• pp.137-157
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• 2003

Mathematical Problem solving has had the largest focus in the spread of mathematical topics since 1980. In Korea, most of the articles on problem solving appeared 1980s and 1990s, during which there were special concerns on this issue. And there is general acceptance of the idea that the famous statement "Problem solving must be the focus of school mathematics"(NCTM, 1980, p.1) in Agenda for Action, reflected in the curriculum of Korea. In a historical review focusing on the problem solving in the National Curriculum of Mathematics, we can infer that the primary goal of mathematics instruction should be to have students become competence problem solver. However, the practices of mathematics classroom and the trends of research in mathematical problem solving have oriented to ′teaching about problem solving′ and ′teaching for problem solving′. The issue of teaching via problem solving′ remain unsolved in the community of mathematics education and we need much more attention to this issue.

• The Journal of Korean Association of Computer Education
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• v.12 no.4
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• pp.1-11
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• 2009

There are several studies in order to learn about programming language. This paper develops a peer agent system based on teaching and learning strategies in order to improve problem-solving ability. Problem-solving ability involves three components - content understanding, domain-dependent problem-solving strategies, and self-regulation. This paper shows the teaching and learning strategies about components of problem-solving for learning to program and the peer agent system uses the teaching and learning strategies. This study intents to analyze the educational effects of the peer agent system. The results show that the system has superior effects on problem-solving ability compared to traditional programming courses or pair programming courses. It means that the peer agent system is the effective educational system in improving student's problem-solving ability.

• 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 Association of Information Education
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• v.18 no.2
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• pp.243-254
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• 2014

We need problem solving abilities based on the information abilities in information-oriented society. New curriculum is demanded by new technology and circumstance to need the core competencies. Korea Association of Information Education has studied new curriculum and suggested new plans that contents of information education classified by 'Software', 'Computer System' and 'Convergence Activities.' Therefore, we studied on 'Problem Solving' topic of the 'Software' section of first grade to ninth grade. In this paper we firstly categorized 'Problem Solving' as 'Problem Comprehension and Analysis', 'Data Management', 'Strategy Establishment for Problem Solving', 'Problem Solving Method Seeking and Development' and 'Examination of Problem Solving Method.' We nextly suggested the achievement goals, teaching-learning methods and evaluation methods of 'Problem Solving' topic. We expect that the achievement goals and teaching-learning methods we suggested about 'Problem Solving' topic will contribute to training talented individuals.

• Research in Mathematical Education
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• v.19 no.1
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• pp.19-41
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• 2015

Previous studies indicated that students tended to hold less satisfactory beliefs about the discipline of mathematics, beliefs about themselves as learners of mathematics, and beliefs about mathematics teaching and learning. However, only a few studies had developed curricular interventions to change students' beliefs. This study aimed to examine the effect of a problem-solving curriculum (i.e., Mathematical Problem Solving for Everyone, MProSE) on Singaporean Grade 7 students' beliefs about mathematical problem solving (MPS). Four classes (n =142) were engaged in ten lessons with each comprising four stages: understand the problem, devise a plan, carry out the plan, and look back. Heuristics and metacognitive control were emphasized during students' problem solving activities. Results indicated that the MProSE curriculum enabled some students to develop more satisfactory beliefs about MPS. Further path analysis showed that students' attitudes towards the MProSE curriculum are important predictors for their beliefs.

• Hwankyungkyoyuk
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• v.20 no.1
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• pp.118-130
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• 2007

This article investigated the effects of students' knowledge, beliefs, and attitudes about environment on environmental issue-based environmental problem solving in secondary school students. This article also investigated whether these factors are related to the environmental problem solving. Therefore, we first developed the test instruments to measure secondary school students' environmental knowledge, environmental beliefs, and environmental attitudes. Then, we developed the environmental issue-based teaching materials for secondary school students. The subjects participated in a environmental issue-based approach that consist of 3 lesson over an three weeks period. The results of this study presents that environmental knowledge and environmental beliefs are effective for the environmental problem solving in middle school environment class. First, secondary school students knew well ecological knowledge about environmental problem, and was entertaining most ecological beliefs. Second, secondary school students were having attitude which is most pro-environmental behaviors. Third, secondary school students are referring necessity of development partially about environment point at issue of country level. But, they were retaining situation of preservation about environment point at issue of area level. It's not easy to generalize these results because of many different variables, but the results suggests that teachers should make an effort to improve student's environmental problem solving ability applying environmental issue-based learning. And it's necessary to develop many kinds of environmental issues and teacher's instruction method to enrich problem solving ability in the process of environmental issue-based learning.