• Communications of Mathematical Education
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• 제30권1호
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• pp.1-22
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• 2016

We had a full scale of literature survey and case survey of mathematics Flipped Learning class models. The purpose of this study is to design and adopt a Flipped Learning 'Linear Algebra' class model that fis our need. We applied our new model to 30 students at S University. Then we analyzed the activities and performance of students in this course. Our Flipped Learning 'Linear Algebra' teaching model is followed in 3 stages : The first stage involved the students viewing an online lecture as homework and participating free question-answer by themselves on Q&A before class, the second stage involved in-class learning which researcher solved the students' Q&A and highlighted the main ideas through the Point-Lecture, the third stage involved the students participating more advanced topic by themselves on Q&A and researcher (or peers) finalizing students' Q&A. According to the survey, the teaching model made a certain contribution not only to increase students' participation and interest, but also to improve their communication skill and self-directed learning skill in all classes and online. We used the Purposive Sampling from the obtained data. For the research's validity and reliability, we used the Content Validity and the Alternate-Form Method. We found several meaningful output from this analysis.

• School Mathematics
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• 제7권2호
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• pp.193-219
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• 2005

This study looked into the procedures of and the status on the implementation of the new mathematics curriculum at the secondary school level(7th through 10th grades). This study examined schools and the teachers were subjects for the actual implementation of the mathematics classroom. More specifically it examined the degree to which the particular innovation ideas of the 7th mathematics curriculum(i.e., reorganization , student-centeredness, diversification/specialization) were being carried out at every stage of the curriculum implementation. Nationwide survey for teachers including students were conducted along with classroom observation and teacher interviews. For an in-depth study into the process and the product of mathematics curriculum implementation, two provincial boards of education participated in the project as research partners. Detailed documentation on the classroom practices were made in order to provide schools and teachers including policy makers with relevant and practical suggestions for further improvement of mathematics curriculum implementation. It was found that mathematics teachers generally were reconstructing the contents giving the priority to the needs of the learners. The concept of learner-centered-ness was reflected in teaching objectives, contents, instructional methods and evaluation. In most schools observed, emphasis was given to the reorganization of the curriculum contents fitting to the concept of 'student-centered' curriculum. The efforts by teachers to diversity and/or specialize the curriculum contents with consideration of various educational conditions such as student readiness, student abilities, classroom equipment and facilities, school locations and environment were found.

• Journal of the Korean School Mathematics Society
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• 제15권2호
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• pp.215-238
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• 2012

One of the keyword in every nation's recent educational policy is key competencies. Considering national competitiveness originating from educational competitiveness, educational policy has been driven to identify key competencies and realize them through school education. Within this context some leading countries have developed competencies-based curriculum and discussed ways to relate key competencies and subject matter areas. However, there have been few researches on how to reflect or integrate key competencies into subject matter areas. Because of this reason, the ways to incorporate and integrate key competencies into three subject areas including mathematics were investigated. The recent trends of curriculum, teaching and learning, and assessment of domestic and foreign cases were explored by the subject of one Korean international middle school, one British foreign school in Seoul, one French foreign school in Seoul, and four middle schools in New Zealand. To establish competencies-based school education, there should be intimate connection system among curriculum, teaching and learning, assessment, and teacher education. Through analysis of domestic and foreign cases, some conclusions regarding how these aspects have changed with the emphasis of key competencies were drawn. In this paper, through classroom observations and teacher interviews, the reality of competencies-based mathematics teaching of New Zealand and France was investigated. As a result, summaries and recommendations related to ways to improve subject teaching and teacher education in light of key competencies were presented. In these recommendations, the ways to reconstruct subject-based curriculum, the content-specific teaching and learning, and educational assessment were included.

• Journal of Elementary Mathematics Education in Korea
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• 제11권1호
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• pp.43-59
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• 2007

The goal of this thesis was to examine the effects of applying meta-problems to elementary school mathematics class In their achievements, beliefs and attitudes. To achieve this goal the following research questions were asked. a. What effects does the class applied with meta-problem have on students' mathematical achievements? b. What effects does the class applied with meta-problem have on students' mathematical beliefs and attitudes? To answer questions, an experimental study was designed and conducted. The subjects were 6th-grade students at S Elementary School located in Dobong-Gu, Seoul where the researcher teaches. Among them, the class that the researcher teach was chosen as the experimental group. During the experimental study, a teaching-learning with meta-problems was applied to the experimental group and a teaching-learning with general problems was applied to the comparative group. To examine changes in the mathematical achievements of the experimental group and the comparative group, a post-test of mathematical achievements was conducted and the results were t-tested. As well, to find answers to the second research question, a pre-test and a post-test of mathematical beliefs and attitudes were conducted on the experimental group and the results were t-tested. The results of this study were as follows First, the experimental group which was taught applying meta-problems got higher mathematical achievement than the comparative group. Second, the class with meta-problems did not bring significant changes in students' mathematical beliefs and attitudes. Synthesizing the study results above, a teaching-learning with meta-problems is a teaching-learning method that can accommodate problem solving naturally in school mathematics and give a positive effect on students' mathematical achievements.

• Journal of Educational Research in Mathematics
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• 제24권3호
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• pp.333-357
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• 2014

This study resulted from a study regarding creative STEAM System based upon an experiment with the center of gravity. The results of the study are constructed by a fusion of mathematics and physics, showing that they are the same as mathematical calculations. Also, students can find that center of gravity of an object is in equilibrium on a metal rod when the center of gravity exactly is placed on the rod. The fact that an experimental results are correspond to calculations can maximize the effectiveness of teaching. And also this study has the following effectiveness. First, the exact construction and calculations arouses good competition among students. Second, this experiment can give students a motivation for study and increase their thinking in classes because the theoretical background of center of gravity experiment is basically attributed to math and science classes in school. This study includes three different types of center-of-gravity experiments. One is a simple type of experiment in which center of gravity exists inside of an object. Another is a complicated one in which the center of gravity is also inside of an object. However, the third type is an experiment in where the center of gravity is outside of an object. Therefore, it gives students an opportunity to discuss how to confirm equilibrium on a metal rod when the object has its center of gravity outside. Having discussions in class will allow students to have a critical way of thinking. In addition, searching for a way to solve a problem will increase creativity of students as well. And the last type is finding the center of gravity of a big acrylic panel where multiple objects are on the panel. According to the survey and interview conducted by students who participated in this program, teaching based on creative STEAM system helps students to get a better understanding and more fast acquisition of knowledge. We can expect that a well-planned creative STEAM system through a continuous study will be both effective and efficient in educating critical and creative students.

• Education of Primary School Mathematics
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• 제20권1호
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• pp.19-36
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• 2017

The purpose of this study was to analyze the research trends of elementary mathematics education in terms of topics, methods, subjects, mathematics content strands, and mathematical competencies. For this purpose, a total of 596 papers published in eight domestic journals during the recent seven years were analyzed. The results of this study showed that the popular research topics included learners' perspectives and abilities, analysis of curriculum and textbooks, and instruction and teaching methods, whereas studies on assessment and technology or manipulative materials did not get much attention. The results also showed that qualitative research methodology was used a lot with focus on students. The mathematics content strand which was most frequently studied was number and operations, and problem solving was most popular among the mathematical competencies. On the basis of these results, this paper includes several implications for the future research direction in elementary mathematics education.

• Journal of The Korean Association of Information Education
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• 제8권3호
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• pp.335-349
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• 2004

Recently, there is change the environment of education due to development of Science Technology Specially, As education information on web increased by internet, using education web data by mean of medium that aids learning by computer. Also It studied method that used the Computer as learning medium through the CAI(Computer Assisted Instruction), ICAI(Intelligent CAI), and ITS(Intelligent Tutoring System). But legacy system are not support efficient method that learns to vary learner suitable learning method by individual level. Specially It is not suitable the education course to direct current course of education, and not consider different of student capability, aptitude, need, interesting, not maximized the individual growable power and effect of education. To solve the this problem, our paper suggest the web-based self-directed MITS(Multimedia ITS) that supply the needed the information on web, make the environment that can self-directed learning. To maximized effect of individual learning, our paper structured coursed, characterized, related learning contents in region of numeral at mathematics of primary school. And then integrated contents and class, design and implement the web-based MITS that consist of 4 module to escape from limitation of learner grade, learning time, learning place.

• Journal of Educational Research in Mathematics
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• 제24권4호
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• pp.537-554
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• 2014

In this study, we investigated a good way for teacher professional development. Based on this way, we designed teacher training program. We carried out teacher training program for 50 secondary school mathematics teachers in July 2014. In this teacher training courses, teachers conducted recording mathematics teaching-learning processes by dialogue between teacher and student according to Socratic method. We also shared the practices of teacher educators, teachers and colleagues. In this teacher training, we tried to cultivate teachers' abilities needed to a good mathematics instruction. And we aimed to equip the attitude that guided reflection on their mathematics class. Through the teacher training, teachers recognized the need to study on the thinking of students and take into account students' expected reaction on the part of learners. Also they developed an attitude as reflective practitioners and recognized the need of teacher learning communities for their professional development.

• 대한공업교육학회지
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• 제33권1호
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• pp.44-66
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• 2008

As the way to intensify vocational education, the places to learn and work merge into one educational system and teaching-learning methods that were pointed at lecturer level are adjusted to learners level. However, the current education environment of vocational highschool doesn't keep up with a new teaching and learning paradigm due to the lack of government-level support and the lecturer level education as well. In this paper, we present a novel learner-leading e-Learning teaching & learning contents framework that intensifying self leading education. In this framework, we concern the ability of self leading, space perception and lesson preparation, preferences of multimedia, scholastic aptitude level and achievement level of students in vocational highschool. Moreover, with following the protocol of the suggested model, we generate a new e-learning contents applying to the subject "Introduction to industry". Especially, to perform better quality of contents, we have survey the whole content of the subject and assorted part of it that would work best with learner-leading e-Learning teaching and learning contents. As we tentatively apply e-learning contents to students in vocational highschool, 79% of them replied that contents brought advantages to get school accomplishment, whereas 19% of students answered in negative that contents wasn't helpful than we've expected. Therefore, the statistical results probe that the e-learning contents we proposed show positive effect, and we analyzed the reasons that deteriorate the effects of contents as shortage of budget and copyright limitation.

• Communications of Mathematical Education
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• 제33권3호
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• pp.163-180
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• 2019

This study introduces a development of calculus contents which makes to understand the main concepts of calculus in a short period of time and to enhance problem solving and computational thinking for complex problems encountered in the real world for college freshmen with diverse backgrounds. As a concrete measure, we developed 'Teaching and Learning' contents and Python-based code for Calculus I and II which was used in actual classroom. In other words, the entire process of teaching and learning, action plan, and evaluation method for calculus class with Python based coding are reported and shared. In anytime and anywhere, our students were able to freely practice and effectively exercise calculus problems. By using the given code, students could gain meaningful understanding of calculus contents and were able to expand their computational thinking skills. In addition, we share a way that it motivated student activities, and evaluated students fairly based on data which they generated, but still instructor's work load is less than before. Therefore, it can be a teaching and learning model for college mathematics which shows a possibility to cover calculus concepts and computational thinking at once in a innovative way for the 21st century.