• Title/Summary/Keyword: the variety of problem solving

### Effects of Teaching with Problem Posing on Mathematical Problem Solving Ability and Attitude in Elementary School Mathematics (초등 수학에서 문제 만들기를 적용한 수업이 수학적 문제 해결력 및 태도에 미치는 효과)

• Choi Yun Seok;Bae Jong-Soo
• Journal of Elementary Mathematics Education in Korea
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• v.8 no.1
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• pp.23-43
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• 2004
• The purposes of this study are, by referring to various previous studies on problem posing, to re-construct problem posing steps and a variety of problem posing learning materials with a problem posing teaching-learning model, which are practically useful in math class; then, by applying them to 4-Ga step math teaming, to examine whether this problem posing teaching-learning model has positive effects on the students' problem solving ability and mathematical attitude. The experimental process consisted of the newly designed problem posing teaching-learning curriculum taught to the experimental group, and a general teaching-learning curriculum taught to the comparative group. The study results of this experiment are as follows: First, compared to the comparative group, the experimental group in which the teaching-teaming activity with problem posing was taught showed a significant improvement in problem solving ability. Second, the experimental group in which the teaching-learning activity with problem posing was taught showed a positive change in mathematical attitude.

### A Parallel Iterative Algorithm for Solving The Eigenvalue Problem of Symmetric matrices

• Baik, Ran
• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.4 no.2
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• pp.99-110
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• 2000
• This paper is devoted to the parallelism of a numerical matrix eigenvalue problem. The eigenproblem arises in a variety of applications, including engineering, statistics, and economics. Especially we try to approach the industrial techniques from mathematical modeling. This paper has developed a parallel algorithm to find all eigenvalues. It is contributed to solve a specific practical problem, a vibration problem in the industry. Also we compare the runtime between the serial algorithm and the parallel algorithm for the given problems.

### Analysis of Inductive Reasoning Process (귀납적 추론의 과정 분석)

• Lee, Sung-Keun;Ryu, Heui-Su
• School Mathematics
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• v.14 no.1
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• pp.85-107
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• 2012
• Problem solving is important in school mathematics as the means and end of mathematics education. In elementary school, inductive reasoning is closely linked to problem solving. The purpose of this study was to examine ways of improving problem solving ability through analysis of inductive reasoning process. After the process of inductive reasoning in problem solving was analyzed, five different stages of inductive reasoning were selected. It's assumed that the flow of inductive reasoning would begin with stage 0 and then go on to the higher stages step by step, and diverse sorts of additional inductive reasoning flow were selected depending on what students would do in case of finding counter examples to a regulation found by them or to their inference. And then a case study was implemented after four elementary school students who were in their sixth grade were selected in order to check the appropriateness of the stages and flows of inductive reasoning selected in this study, and how to teach inductive reasoning and what to teach to improve problem solving ability in terms of questioning and advising, the creation of student-centered class culture and representation were discussed to map out lesson plans. The conclusion of the study and the implications of the conclusion were as follows: First, a change of teacher roles is required in problem-solving education. Teachers should provide students with a wide variety of problem-solving strategies, serve as facilitators of their thinking and give many chances for them ide splore the given problems on their own. And they should be careful entegieto take considerations on the level of each student's understanding, the changes of their thinking during problem-solving process and their response. Second, elementary schools also should provide more intensive education on justification, and one of the best teaching methods will be by taking generic examples. Third, a student-centered classroom should be created to further the class participation of students and encourage them to explore without any restrictions. Fourth, inductive reasoning should be viewed as a crucial means to boost mathematical creativity.

### A study on teaching methodology for improving problem-solving skills in high school mathematics (고등학교 문제해결 능력 신장을 위한 교수 학습 방법 연구)

• 김용규
• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.165-174
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• 1998
• This is the study on a teaching method for improving problem-solving ability in mathematics. If this method is performed step by step in solving problems, learners can approach problems in a variety of ways. This step-by-step teaching method will create some changes among learners. The purpose of this experiment was to determine what effects resulted from this method, especially which effects arose in the affective areas of learning math. For the experiment, learning materials were divided into 73 parts. And the subjects, who are low-leveled and have negative attitudes towards mathematics, were divided into two groups. One group was exposed to this method for four months (treatment group), and the other group(control group) was not. According to the result, though there were few changes, the treatment group came to be more interested in math than before and also negative attitudes towards math were reduced gradually, as compared with the control group. In this study, three factors were investigated: interest in math, attitudes toward math, and learning -achievement in math. Significant changes were found in two factors: interest in math and learning-achievement in math. No significant changes were found in the area of attitudes towards math. In conclusion, if this method is adopted and performed regularly, it is likely that the problem-solving skills will be improved and the negative attitudes towards math will be reduced.

### A Study on Problem-based Learning Model of Orthopedic Manual Physical Therapy (정형도수물리치료의 문제중심학습 모형에 관한 고찰)

• Kim, Ho-Bong;Bang, Sang-Bun
• The Journal of Korean Academy of Orthopedic Manual Physical Therapy
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• v.18 no.2
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• pp.31-39
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• 2012
• Background: The purpose of this study was to develop a problem-based learning model for orthopedic manual physical therapy. A problem-based learning (PBL) model for orthopedic manual physical therapy developed from PBL module of Jeju C university (Halla-Newcastle PBL Center). A summary of this study is as follows: 1) PBL model is comprised of a class of 30 students, operated small group as of 4~5 students. 2) PBL is suggested a scenario of clinical case, induced variety reaction through group discussion and presentation. 3) PBL is occurred wide variety learning through group work activity and self-directed learning. 4) The tutor as a facilitator is played a guide for group discussion, work activity and team learning. 5) The evaluation for PBL is performed such as student self-evaluation, group activity evaluation, individual presentation, and practice. This model is considered wide variety learning through team learning and self-directed learning by clinical reasoning and problem solving for musculoskeletal clinical case. We suggest problem based learning for the education of orthopedic manual physical therapy in which the learners are very interested in and has the effective outcome.

### Analysis of Correlation and Group Difference for Selection of Elementary Fusion Gifted Students (초등융합영재 선발요소의 상관관계 및 그룹 차이 분석)

• Min, Meekyung;Kim, Kapsu
• Journal of The Korean Association of Information Education
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• v.22 no.4
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• pp.491-500
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• 2018
• In the era of the Fourth Industrial Revolution, talents should not be subordinated to a particular discipline, but must be able to converge a variety of disciplines. It is important to have a fused thinking because elementary school students are likely to make various changes. Therefore, when selecting elementary gifted students, they are selecting students for fusion gifted students. This study examines the effects of creative problem solving ability, document evaluation, and interview factors on student selection when selecting students for gifted students. The results show that creative problem solving ability has the most influence on selection. In the case of the fifth graders, the creative problem solving ability and the document evaluation influence the selection. In fourth graders, the creative problem solving ability and interview affect the selection. In the case of female students, it was found that creative problem solving ability and document evaluation influenced selection. In addition, there was a gender difference in the evaluation of documents in the gender difference analysis. There is no significant difference between the three groups in the grade-by-grade difference analysis.

### Effects of High-fidelity Simulation-based Education on Nursing Care for Patients with Acute Chest Pain (시뮬레이션을 활용한 급성 흉통환자간호 실습교육의 효과)

• Han, Sang-Young
• Journal of the Korea Academia-Industrial cooperation Society
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• v.15 no.3
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• pp.1515-1521
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• 2014
• This study applies simulation-based education and care for acute myocardial infarction nursing students to investigate the effect of critical thinking, problem solving, and academic achievement of a single group before and after the raw experimental design. A total of 137 subjects were arbitration period September-October 2011, enforcement and arbitration were evaluated after simulation-based training six weeks total. Data analysis was performed using SPSS Win17.0, Paired t-test, the mean and standard deviation, Pearson's correlation coefficient was used. Research results of simulation-based training program to improve critical thinking, problem solving, and academic achievement were As increase critical thinking and problem solving ability was improved. whereas, Critical thinking skills and problem solving ability was no significant difference with academic achievement. Simulation-based training program to improve the practical skills of nursing students learning was found how useful it, that there is a need to take advantage of hands-on training in a variety of cases that can be common in the field of clinical scenarios developed by. To do this, It seems to be necessary to the development and operation more varied and appropriate hands-on training method.

### A Study on the Optimization Problem Solving utilizing the Quadratic Curve using the Dynamic Geometry Software (동적기하프로그램을 활용한 이차곡선 최적화 문제해결에 관한 연구)

• Kim, Jung Soo;Jeon, Bo Hyun;Chung, Young Woo;Kim, Boo Yoon;Lee, Yan
• East Asian mathematical journal
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• v.30 no.2
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• pp.149-172
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• 2014
• The problems of optimization addressed in the high school curriculum are usually posed in real-life contexts. However, because of the instructional purposes, problems are artificially constructed to suit computation, rather than to reflect real-life problems. Those problems have thus limited use for teaching 'practicalities', which is one of the goals of mathematics education. This study, by utilizing 'GeoGebra', suggests the optimization problem solving related to the quadratic curve, using the contour-line method which contemplates the quadratic curve changes successively. By considering more realistic situations to supplement the limit which deals only with numerical and algebraic approach, this attempt will help students to be aware of the usefulness of mathematics, and to develop interests in mathematics, as well as foster students' integrated thinking abilities across units. And this allows students to experience a variety of math.

### TEACHING PROBABILISTIC CONCEPTS AND PRINCIPLES USING THE MONTE CARLO METHODS

• LEE, SANG-GONE
• Honam Mathematical Journal
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• v.28 no.1
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• pp.165-183
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• 2006
• In this article, we try to show that concepts and principles in probability can be taught vividly through the use of the Monte Carlo method to students who have difficulty with probability in the classrooms. We include some topics to demonstrate the application of a wide variety of real world problems that can be addressed.

### An Exploration of International Trends about the Core Competencies in Mathematics Curriculum (수학과 교육과정에 반영된 핵심역량의 국제적 동향 탐색)

• Kim, Sun Hee;Park, Kyungmee;Lee, Hwan Chul
• The Mathematical Education
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• v.54 no.1
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• pp.65-81
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• 2015
• The purpose of this study is to investigate the international trends of how the core competencies are reflected in mathematics curriculum, and to find the implications for the revision of Korean mathematics curriculum. For this purpose, the curriculum of the 9 countries including the U.S., Canada(Ontario), England, Australia, Poland, Singapore, China, Taiwan, and Hong Kong were thoroughly reviewed. It was found that a variety of core competencies were reflected in mathematics curricula in the 9 countries such as problem solving, reasoning, communication, mathematical knowledge and skills, selection and use of tools, critical thinking, connection, modelling, application of strategies, mathematical thinking, representation, creativity, utilization of information, and reflection etc. Especially the four most common core competencies (problem solving, reasoning, communication, and creativity) were further analyzed to identify their sub components. Consequently, it was recommended that new mathematics curriculum should consider reflecting various core competencies beyond problem solving, reasoning, and communication, and these core competencies are supposed to combine with mathematics contents to increase their feasibility. Finally considering the fact that software education is getting greater attention in the new curriculum, it is necessary to incorporate computational thinking into mathematics curriculum.