• Journal of Elementary Mathematics Education in Korea
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• v.22 no.4
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• pp.405-425
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• 2018

Increasing the problem solving power in school mathematics is the most important task of mathematics education. It is the ultimate goal of mathematics education to help students develop their thinking and creativity and help solve problems that arise in the real world. In this study, we investigated the contents of problem solving according to mathematics curriculum goals from the first curriculum to current curriculum in Korea. This study analyzed the problem-solving contents of the mathematics textbooks reflecting the achievement criteria of the revised curriculum in 2015. As a result, it was the first curriculum to use the terminology of problem solving in the mathematics goal of Korea's curriculum. Interest in problem solving was most actively pursued in the 6th and 7th curriculum and the 2006 revision curriculum. After that, it was neglected to be reflected in textbooks since the 2009 revision curriculum, We have identified the problems of this problem-solving instruction and suggested improvement direction.

• School Mathematics
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• v.11 no.4
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• pp.665-683
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• 2009

The purpose of this study is to improve forward mathematics study by analyzing the effects of the teaching and learning process applied situation-based mathematical problem posing activity on problem solving ability and mathematical attitudes. For this purpose, the research questions were established as follows: 1. How the situation-based mathematical problem posing activity(WQA activity) changes the problem solving ability of students? 2. How the situation-based mathematical problem posing activity(WQA activity) changes the mathematical attitudes of students? The results of the study were as follows: (1) There was significant difference between experimental group and comparative group in problem solving ability. This means that situation-based mathematical problem posing activity was generally more effective in improving problem solving ability than general classroom-based instruction. (2) There was not significant difference between experimental group and comparative group in mathematical attitudes. But the experimental group's average scores of mathematical attitudes except mathematical confidence was higher than comparative group's ones. And there was significant difference in the mathematical adaptability. The results obtained in this study suggest that the situation-based mathematical problem posing activity can be used to improve the students' problem solving ability and mathematical attitudes

• Proceedings of the Korean Society for Environmental Edudation Conference
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• 2003.12a
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• pp.107-124
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• 2003

• 대한공업교육학회지
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• v.32 no.1
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• pp.1-32
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• 2007

The purpose of this study was to verify that the practical skill instruction of the heat treatment and the tensile strength test using the problem-based learning is more effective than the traditional skill instruction in improving the key competencies. For the study, various literature researches were reviewed intensively about problem solving process, problem -based learning, and learning principals. The process of the practical skill instruction using the problem-based learning was composed with planning, executing, testing and evaluating. Based upon the conclusion of this study, the practical skill instruction using the problem-based learning was more effective than the traditional practical skill instruction of the heat treatment and the tensile strength test in improving the key competencies.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.41-59
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• 1999

We believe that there can be a mutually supportive relationship between emphasizing problem solving and emphasizing understanding in mathematics instruction, when teachers teach via problem solving, as well as about it and for it they provide their student with a powerful and important means of developing their own understanding. As students' understanding of mathematics becomes deeper and richer, their ability to use mathematics to solve problem increases.

• Journal of Educational Research in Mathematics
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• v.12 no.4
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• pp.509-521
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• 2002

The purpose of this paper is as follows: $^{\circleda}$ to disclose the essence of symmetry $^{\circledb}$ to propose the desirable strategy of problem-solving as to symmetry $^{\circledc}$ to clarify the relationship between symmetry and group $^{\circledd}$ to propose a way of introduction of 'group' in school mathematics according to its fundamental characteristic, symmetry. This study shows that the nature of symmetry is 'invariance under a transformation' and symmetry is the main idea of 'group'. In mathematics textbooks and mathematics education literature, we find out that the logic of symmetry is widespread. We illustrate two paradigmatic problem related to symmetrical logic and exemplify a desirable instruction of Pascal's triangle. This study also suggests a possibility of developing students' unformal and unconscious conception of group with sym metry idea from elementary to secondary school mathematics.

• Educational Technology International
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• v.20 no.1
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• pp.83-107
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• 2019

The aim of this study is to provide the values and descriptive implications of the Design Thinking (DT) method into the context of educational problems of practice in an undergraduate course. To achieve the research objective, both quantitative and qualitative studies were conducted. For the qualitative study, the student's productions and reflections on the experience of the application of the DT into educational problems were analyzed. For the quantitative research, one-group pre and post-test were designed to validate the effectiveness of the DT method into educational contexts in terms of creativity level to measure the student's Creativity Potential and Practiced Creativity, Academic Self-Efficacy Scale, and Problem-Solving Inventory. This study validated that the DT method had a statistically significant influence on those three competencies and also illustrated the detailed process from a qualitative viewpoint. The results and implications reflect the potential of the DT approach with the educational problem of practice, especially, in the ill-structured problem-solving contexts for student-centered instructional setting.

• Journal of Korean Clinical Health Science
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• v.8 no.1
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• pp.1369-1376
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• 2020

Purpose: This research was conducted to the comparison of flipped learning on nursing students' learning motivation, learning attitude and problem solving ability. Method: Flipped learning was a learner-centered learning method. This study was conducted on 93 nursing students and 4th grade students taking community nursing. This study was a comparative experimental study of single group. The collected data were analyzed using SPSS Win 20.0 program. Results: The results of this study showed that the instruction of the flip learning application was statistically different from that before the test in the learning motivation (t=-2.149, p=.034) and problem solving ability (t=2.210, p=.030). However, there was no statistically significant difference in learning attitude. It is thought that the flipped-learning classes was progressed with the learner-centered, and the learner was given a lot of tasks and the preparation time was required. The classes with the flip learning was effective for the motivation and problem solving ability improvement. Conclusion: Therefore, in the next study, it is necessary to design a classes that complements this part in order to positively increase the students' attitude of learning. I would like to apply flipped-learning classes in various subjects.

• The Mathematical Education
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• v.48 no.3
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• pp.235-263
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• 2009

The purpose of the study was to investigate the influence of children's understanding of fractions in mathematics problem solving. Kieren has claimed that the concept of fractions is not a single construct, but consists of several interrelated subconstructs(i.e., part-whole, ratio, operator, quotient and measure). Later on, in the early 1980s, Behr et al. built on Kieren's conceptualization and suggested a theoretical model linking the five subconstructs of fractions to the operations of fractions, fraction equivalence and problem solving. In the present study we utilized this theoretical model as a reference to investigate children's understanding of fractions. The case study has been conducted with 6 children consisted of 4th to 5th graders to detect how they understand factions, and how their understanding influence problem solving of subconstructs, operations of fractions and equivalence. Children's understanding of fractions was categorized into "part-whole", "ratio", "operator", "quotient", "measure" and "result of operations". Most children solved the problems based on their conceptual structure of fractions. However, we could not find the particular relationships between children's understanding of fractions and fraction operations or fraction equivalence, while children's understanding of fractions significantly influences their solutions to the problems of five subconstructs of fractions. We suggested that the focus of teaching should be on the concept of fractions and the meaning of each operations of fractions rather than computational algorithm of fractions.

• East Asian mathematical journal
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• v.40 no.2
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• pp.149-166
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• 2024

This study is to establish the domains and the standards of instructional evaluation on the teacher knowledge dealing with the knowledge of 'teaching and learning methods and assessment'. Especially, in this study, the instruction assessment standards are developed focused on the five types of mathematics competencies such as problem solving, communication, reasoning, connection, information and handling, which were emphasized in the mathematical curriculum revised in 2022. By the result, ten domains such as an instruction involving instruction goal and content, problem-solving competency, data treatment competency, learners' achievement level and attitude, communication competency, reasoning competency, connection competency, the assessment method and procedure based on the competency, the assessment tool development based on the competency, assessment result based on the competency were new established. According to those domains, the total 20 instructional evaluation standards were developed. This study is limited to consider the domain of 'teaching and learning methods and assessment' among the domains of teacher knowledge, while dealing with the elements of mathematics competencies in the standards. However, instructional evaluation standards reflecting these competencies should be developed in the other diverse domains of teacher knowledge.