• Communications of Mathematical Education
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• v.34 no.3
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• pp.393-419
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• 2020

Trigonometry allows us to recognize the usefulness of mathematics through connection with real life and other disciplines, and lays the foundation for the concept of higher mathematics through connection with trigonometric functions. Since international comparisons on the trigonometry area of textbooks can give implications to trigonometry teaching and learning in Korea, this study attempted to compare trigonometry in textbooks in Korea, Australia and Finland. In this study, through the horizontal and vertical analysis presented by Charalambous et al.(2010), the objectives of the curriculum, content system, achievement standards, learning timing of trigonometry content, learning paths, and context of problems were analyzed. The order of learning in which the three countries expanded size of angle was similar, and there was a difference in the introduction of trigonometric functions and the continuity of grades dealing with trigonometry. In the learning path of textbooks on the definition method of trigonometric ratios, the unit circle method was developed from the triangle method to the trigonometric function. However, in Korea, after the explanation using the quadrant in middle school, the general angle and trigonometric functions were studied without expanding the angle. As a result of analyzing the context of the problem, the proportion of problems without context was the highest in all three countries, and the rate of camouflage context problem was twice as high in Korea as in Australia or Finland. Through this, the author suggest to include the unit circle method in the learning path in Korea, to present a problem that can emphasize the real-life context, to utilize technological tools, and to reconsider the ways and areas of the curriculum that deal with trigonometry.

• Journal of Educational Research in Mathematics
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• v.20 no.3
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• pp.221-239
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• 2010

Attention to Korean perspective mathematics education has been increasingly paid m international academic meetings or international comparative studies. Personal or intuitive, vague explanation has been given based on limited literature or observations. This increasing attention and Jack of studies warrant the necessity of systematic researches on it. This article aims at clarifying the research issues in searching for Korean perspective on mathematics education and finding the starting point through discussion on mathematical modeling by teacher on researchers and researchers. Firstly, hypothetical perspective will be described. Secondly, Fourteen teacher educators' and seven researchers' opinion on it will be discussed. Findings imply that strong responsibility for Korean mathematics teachers to reveal theoretical aspects of mathematical knowledge, i.e., structure or essence, as well as to pursue efficiency and effectiveness in mathematics teaching and learning is the main aspect of Korean perspective on mathematics education.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.1-20
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• 1999

What do our mathematics teachers now do in the classroom？ What does it actually mean to teach mathematics？ Every preparatory mathematics teacher is confronted with these questions since they have studied to become a teacher. Almost all in-service teachers are faced by of questions, too, as they evaluate their teaching in the light of that of their colleagues. In this sense, Jon L. Higgins has proposed mathematics teaching patterns of five categories, i. e., exploring, modeling, underlining, challenging, and practicing, for the sake of our all teachers. Next, J. P. Guilford has suggested three faces of intellect presented by a single solid model, which we call the 'structure of intellect' Each dimension represents one of the modes of variation of the factors. It is found that the various kinds of operations are in one of the dimensions, the various kinds of products are in another, and the various kinds of contents are in the other one. In order to provide a better basis for understanding this model and regarding it as a picture of human intellect, I've explored it systematically and shown some concrete examples for its tests. Each cell in the model stands for a certain kind of ability that can be described in terms of operation, content, and product, for each cell is at the intersection uniquely combined with kinds of ope- ration, content, and product. In conclusion, how could we use the teaching patterns of five categories, that is, exploring, modeling, underlining, challenging, and practicing, according to the given mathematics learning substances？ And also, how could children constitute the learning sub- stances well in their mind with a viewpoint of constructivism if teachers would connect the mathematics teaching patterns of five categories with any factors among the three faces of intellect？ I've made progress this study focusing on such problems.

• Communications of Mathematical Education
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• v.34 no.1
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• pp.17-39
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• 2020

The purpose of this study is to analyze the mathematical beliefs of students and teachers by Latent Class Analysis(LCA). This study surveyed 60 teachers about beliefs of 'nature of mathematics', 'mathematic teaching', 'mathematical ability' and also asked 1850 students about beliefs of 'school mathematics', 'mathematic problem solving', 'mathematic learning' and 'mathematical self-concept'. Also, this study classified each student and teacher into a class that are in a similar response, analyzed the belief systems and built a profile of the classes. As a result, teachers were classified into three types of belief classes about 'nature of mathematics' and two types of belief classes about 'teaching mathematics' and 'mathematical ability' respectively. Also, students were classfied into three types of belief classes about 'self concept' and two types of classes about 'School Mathematics', 'Mathematics Problem Solving' and 'Mathematics Learning' respectively. This study classified the mathematics belief systems in which students were categorized into 9 categories and teachers into 7 categories by LCA. The belief categories analyzed through these inductive observations were found to have statistical validity. The latent class analysis(LCA) used in this study is a new way of inductively categorizing the mathematical beliefs of teachers and students. The belief analysis method(LCA) used in this study may be the basis for statistically analyzing the relationship between teachers' and students' beliefs.

• Communications of Mathematical Education
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• v.34 no.1
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• pp.1-15
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• 2020

Today's healthcare, intelligent robots, smart home systems, and car sharing are already innovating with cutting-edge information and communication technologies such as Artificial Intelligence (AI), the Internet of Things, the Internet of Intelligent Things, and Big data. It is deeply affecting our lives. In the factory, robots have been working for humans more than several decades (FA, OA), AI doctors are also working in hospitals (Dr. Watson), AI speakers (Giga Genie) and AI assistants (Siri, Bixby, Google Assistant) are working to improve Natural Language Process. Now, in order to understand AI, knowledge of mathematics becomes essential, not a choice. Thus, mathematicians have been given a role in explaining such mathematics that make these things possible behind AI. Therefore, the authors wrote a textbook 'Basic Mathematics for Artificial Intelligence' by arranging the mathematics concepts and tools needed to understand AI and machine learning in one or two semesters, and organized lectures for undergraduate and graduate students of various majors to explore careers in artificial intelligence. In this paper, we share our experience of conducting this class with the full contents in http://matrix.skku.ac.kr/math4ai/.

• Communications of Mathematical Education
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• v.30 no.3
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• pp.309-333
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• 2016

This study is part of app development research based on user centered design which targets silver generation learners. The mathematical contents provided by Senior math application focus on Numeracy issues. In order to finalize the user interface and the mathematical contents which is for developing the mathematic application, teaching experiment was carried out through 9 senior learners. Also CIPP program evaluation model was used for monitoring the result of this teaching experiment. Factors such as 'educational objectives' 'requirement analysis' 'educational environment' 'curriculum' 'learning content' 'learning matter' 'interaction' 'program administration' 'supporting environment' 'satisfaction' 'study result' 'substantiality of learning' were checked and as a result the Senior Mathematic application was developed through these feedbacks.

• Communications of Mathematical Education
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• v.25 no.1
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• pp.79-97
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• 2011

As the necessity of the special education for the gifted to develop their talents and national power is gradually recognized, many kinds of teaching-learning materials have been developed. However, the development tendency of the materials is not systematically studied because their database is not sufficiently constructed nor most of them are made public. In this research, we would like to provide the reference data to improve the quality of developed materials and reduce the deviation among the classified fields when we will develop the teaching-learning materials by collecting the already developed materials and analyse their development tendency by classifying them according to the contents.

• Nuclear Engineering and Technology
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• v.54 no.11
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• pp.3985-3995
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• 2022

The emergence of new nanoscale technologies has imposed significant challenges to designing reliable electronic systems in radiation environments. A few types of radiation like Total Ionizing Dose (TID) can cause permanent damages on such nanoscale electronic devices, and current state-of-the-art technologies to tackle TID make use of expensive radiation-hardened devices. This paper focuses on a novel and different approach: using machine learning algorithms on consumer electronic level Field Programmable Gate Arrays (FPGAs) to tackle TID effects and monitor them to replace before they stop working. This condition has a research challenge to anticipate when the board results in a total failure due to TID effects. We observed internal measurements of FPGA boards under gamma radiation and used three different anomaly detection machine learning (ML) algorithms to detect anomalies in the sensor measurements in a gamma-radiated environment. The statistical results show a highly significant relationship between the gamma radiation exposure levels and the board measurements. Moreover, our anomaly detection results have shown that a One-Class SVM with Radial Basis Function Kernel has an average recall score of 0.95. Also, all anomalies can be detected before the boards are entirely inoperative, i.e. voltages drop to zero and confirmed with a sanity check.

• Communications of Mathematical Education
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• v.32 no.3
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• pp.275-296
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• 2018

The purpose of this study is to investigate the change of gaze and the change of the proof learning achievement after learning the analytic method for proof to mathematical gifted students using eye tracking technique. In order to complete the purpose of this study, a mixed method research was used, that is a combination of quantitative and qualitative research methods. Quantitative analysis was conducted based on the data obtained through the eye tracker, and qualitative analysis was also done using post interview data to make up for the quantitative analysis. The subjects of this study were 8 mathematical gifted 3rd grade middle school students in the gifted education center. The conclusions of this study are as follows. First, the learning of analysis leads to a change of gaze in the proof learning of students. The students, after learning the analysis, moved their gaze from the bottom to the top when solving the proof problem, and the occupancy rate of the gaze to the bottom of the proof was higher than the higher part. Second, the change of gaze caused by the learning of the analysis have a correlation with the achievement of the proof learning and it can be seen that the method learning improves the achievement of the proof learning of the students.

• Communications of Mathematical Education
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• v.27 no.1
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• pp.19-37
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• 2013

In order to improve the problem-solving abilities and enhance the academic achievement of under achieving students for university basic mathematics, P-university has opened the basic mathematics and practice education courses. These education courses are operated as prerequisite subject of Calculus and we are progressing the class focused on presentation with variety learning materials by organizing level-based classes In this paper, we analyzed the acquired grade and the result of teaching assessment of 1,106 students registered in the 30 classes that the teaching portfolio of the basic mathematics and practice education courses were submitted to support 'Accreditation for Engineering Education of Korea'. In addition, we tried to find attention points and improved solutions on operating the level-based class of the basic mathematics and practice education courses based on the 'Continuous Quality Improvement Report' of teaching portfolio submitted by each professor who is in charge of this class.