• Research in Mathematical Education
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• v.15 no.2
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• pp.115-126
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• 2011

The aim of this study was to explore teachers' values about teaching mathematics in the classrooms which implemented Lesson Study and Open Approach as a teaching approach. The targeted group was 83 school teachers from 4 schools participating in a teacher professional development project. The data was gathered through teacher questionnaires, lesson observations and interviews. Data analysis is based on Bishop's (1988; 2003; 2007) and Komin's (1990) frameworks. The results from the implementation of Lesson Study and Open Approach in Thai classroom found the different of the roles and behaviors of teachers and students in classroom. The results revealed 3 kinds of values about teaching: Mathematical values, General educational values, Mathematics educational values and also found that most of the teachers valued problem solving as an innovative teaching approach as against traditional approaches they were familiar with.

• Quality Improvement in Health Care
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• v.5 no.2
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• pp.238-256
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• 1998

Background : There have been many studies and efforts about quality management in health services, but these were not focused on the thinking ability of the personnel. In this study, We planned to define the relationship between Quality Management(QM) and thinking skill, and analyzed critical thinking skill and problem solving ability of the nurses for QM in healthcare. Methods : We surveyed 260 nurses in 3 hospitals by using questionnaires about thinking skills and QM from November 18 to 28, 1998. The response rate was 76.9%. We described and analyzed the data by descriptive statistics, t-test, ANOVA, Pearson correlation, and non-parametric Friedman test using SPSS Win 7.5. Results : This study revealed that 1) understanding level of QM concepts was very low and insufficient, 2) willingness to practice QM in healthcare was relatively high and affirmative, but the positive attitude taking part in the program of QM is very low(4.5%), 3) even though the necessity of QM was recognized, actual application of critical thinking skills and problem solving abilities is lacking, 4) the production of idea for QM was the most insufficient, and so the next of the problem solving process(QA cycle) was the same. Conclusion : Based on the above results, we can conclude that understanding the concepts of QM is very important to solve problems about QM in healthcare. For development of thinking skill to promote critical problem solving ability for QM in healthcare, it is necessary to improve curriculum of nursing education and teaching-learning methods of QM strategy and technique.

• Research in Mathematical Education
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• v.7 no.1
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• pp.11-24
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• 2003

The key features of our integrated approach to teaching and loaming college mathematics include interactive and discussion-based teaching, small group work, computer as a tool, problem solving approach, open approach, mathematics in context, emphasis on mathematical thinking and creativity, and writing/communicating about mathematics. In this paper we report a few examples to illustrate the type of problems we use in our integrated approach.

• Journal of Educational Research in Mathematics
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• v.12 no.1
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• pp.71-79
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• 2002

Visualization have strong driving force that enables us to recognize abstract mathematics by direct and specific method in school mathematics. Specially, visual thinking helps in effective problem solution via intuition in mathematics education. So, this paper examines the meaning of visualization, the role of visualization in intuitive problem solving process and the methods for enhancement of intuition using visualization in mathematics education. Visualization is an useful tool for illuminating of intuition in mathematics problem solving. It means that visualization makes us understand easily mathematical concepts, principles and rules in students' cognitive structure. And it makes us experience revelation of anticipatory intuition which finds clues and strategy in problem solving. But, we must know that visualization can have side effect in mathematics learning. So, we have to search for the methods of teaching and learning which can increase students' comprehension about mathematics through visualization and minimize side aspect through visualization.

• The Mathematical Education
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• v.31 no.2
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• pp.109-119
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• 1992

The primary purpose of the present study is to provide the sources to improve the mathematical problem solving performance by analyzing the effects of the belief systems and the misconceptions of the middle school students in solving the problems. To attain the purpose of this study, the reserch is designed to find out the belief systems of the middle school students in solving the mathematical problems, to analyze the effects of the belief systems and the attitude on the process of the problem solving, and to identify the misconceptions which are observed in the problem solving. The sample of 295 students (boys 145, girls 150) was drawn out of 9th grade students from three middle schools selected in the Kangdong district of Seoul. Three kinds of tests were administered in the present study: the tests to investigate (1) the belief systems, (2) the mathematical problem solving performance, and (3) the attitude in solving mathematical problems. The frequencies of each of the test items on belief systems and attitude, and the scores on the problem solving performance test were collected for statistical analyses. The protocals written by all subjects on the paper sheets to investigate the misconceptions were analyzed. The statistical analysis has been tabulated on the scale of 100. On the analysis of written protocals, misconception patterns has been identified. The conclusions drawn from the results obtained in the present study are as follows; First, the belief systems in solving problems is splited almost equally, 52.95% students with the belief vs 47.05% students with lack of the belief in their efforts to tackle the problems. Almost half of them lose their belief in solving the problems as soon as they given. Therefore, it is suggested that they should be motivated with the mathematical problems derived from the daily life which drew their interests, and the individual difference should be taken into account in teaching mathematical problem solving. Second. the students who readily approach the problems are full of confidence. About 56% students of all subjects told that they enjoyed them and studied hard, while about 26% students answered that they studied bard because of the importance of the mathematics. In total, 81.5% students built their confidence by studying hard. Meanwhile, the students who are poor in mathematics are lack of belief. Among are the students accounting for 59.4% who didn't remember how to solve the problems and 21.4% lost their interest in mathematics because of lack of belief. Consequently, the internal factor accounts for 80.8%. Thus, this suggests both of the cognitive and the affective objectives should be emphasized to help them build the belief on mathematical problem solving. Third, the effects of the belief systems in problem solving ability show that the students with high belief demonstrate higher ability despite the lack of the memory of the problem solving than the students who depend upon their memory. This suggests that we develop the mathematical problems which require the diverse problem solving strategies rather than depend upon the simple memory. Fourth, the analysis of the misconceptions shows that the students tend to depend upon the formula or technical computation rather than to approach the problems with efforts to fully understand them This tendency was generally observed in the processes of the problem solving. In conclusion, the students should be taught to clearly understand the mathematical concepts and the problems requiring the diverse strategies should be developed to improve the mathematical abilities.

• Journal of The Korean Association of Information Education
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• v.22 no.1
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• pp.23-32
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• 2018

This study is about in-service training structure combined digital competence and pedagogical knowledge in order to improve digital tools skill of a teacher in the school. Meanwhile domestic teacher training has been revealed low-level of applying into a teaching in the k12 school. Thus this study proposed teacher training system with focus on TPK sub-categories of TPACK. The core contents of TPK is to select appropriate digital tool for its teaching & learning. Additionally it is to select elements of teaching & learning associated with an attribute of digital tool. And this study presented modularize of 3 step such as teaching objective, teaching contents, assessment. Also we proposed that this training system should be operated with problem solving method which trainee itself compose TPK elements. And we committed quality investigation about picking up Strategies of TPK elements and the teacher training frame. The Participants concluded having a validity about TPK strategies, teacher training framework.

• The Mathematical Education
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• v.40 no.1
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• pp.93-102
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• 2001

The world we live in is called the age of information. Thus communication and computers are doing the central role in it. When one studies the mathematical problem, the use of tools such as computers, calculators and technology is available for all students, and then students are actively engaged in reasoning, communicating, problem solving, and making connections with mathematics, between mathematics and other disciplines. The use of technology extends to include computer algebra systems, spreadsheets, dynamic geometry software and the Internet and help active learning of students by analyzing data and realizing mathematical models visually. In this paper, we explain concepts of transformation, linear transformation, congruence transformation and homothety, and introduce interesting, meaningful and visual models for teaching of a plane transformation geomeoy which are obtained by using Mathematica. Moreover, this study will show how to visualize linear transformation for student's better understanding in teaching a plane transformation geometry in classroom. New development of these kinds of teaching-learning methods can simulate student's curiosity about mathematics and their interest. Therefore these models will give teachers the active teaching and also give students the successful loaming for obtaining the concept of linear transformation.

• Journal of Korean Elementary Science Education
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• v.31 no.2
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• pp.216-226
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• 2012

The purpose of this study was to examine the effects of the creative problem solving and scientific attitude through the science-based STEAM program for the elementary gifted students. For the purpose of this study, a teaching plan and worksheet for students based on STEAM was developed and applied. The objects of this study were the fourth grade of both an experimental class (18 students) and a comparative class (20 students) at the gifted class located in Gyeonggi Province. The results of this study were as follows: First, the change in students' science creative problem solving in the experimental group applying science-based STEAM program has statistically meaningful difference (p<.05). Second, the scientific attitude score of the experimental class improved, but it has no meaningful difference statistically. Third, according to the analysis of questionnaire for evaluating the program, experimental class students had a positive recognition in respect of the STEAM program and got higher satisfaction about the lesson. Therefore, science-based STEAM program applied in this study might be useful to improve the creative problem solving, and can be expected the scientific attitude' improving and better be widely applied to gifted education.

• 대한공업교육학회지
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• v.33 no.2
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• pp.120-136
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• 2008

Using the tangible programming tools, which combines physical objects (e.g. robot) and educational programming language, may help to encourage learners' creative thinking as well as to enhance problem solving ability. That is, learners can have opportunities to simulate problem solving processes through the physical objects, such as robots. Therefore, they can minimize an fixation about problem solving process. These experience is effective to induce creative thinking that is useful to find new solutions and change environment actively. Therefore, we developed a robot based programming teaching and learning curriculum and implemented it in college level introductory programming courses. The result shows that the robot based programming learning has a positive effect in all three factors of learners' creative problem solving potential, especially in a cognitive factor. The cognitive factor includes general problem solving abilities as well as factors that explain creativity, such as divergent thinking, problem recognition, problem representation. These result means that the developed robot based programming teaching and learning curriculum give positive effect to creative problem solving abilities.

• Journal of Elementary Mathematics Education in Korea
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• v.10 no.1
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• pp.1-19
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• 2006

It is generally accepted that fostering creative thinking is a core in mathematics education and accumulating research products on that topic is really needed. In this study, I hoped to investigate and verify that in mathematics education it was possible to cultivate creative thinking through various and divergent activities, For this purpose, I delat with some illustrations, in which students learned mathematics through the operational activities using teaching tools, problem solving and problem posing activities, and finally they seemed to foster creative mathematical thinking. In conclusion of this paper, I have suggested that in math education those activities should be used to cultivate students' creative thinking in kindergarten or early elementary school. Also I asserted that it is urgently need to store up research products about various materials and methods for those mathematics teaching and learning.