• 한국정보교육학회:학술대회논문집
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• 2021.08a
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• pp.167-173
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• 2021

The purpose of this study is to discuss the types of algorithms and data categories in AI education for elementary school students. The study surveyed 11 pre-elementary teachers after providing education and practice on various data, artificial intelligence algorithm, and AI education platform for 15 weeks. The categories of data and algorithms considering the elementary school level, and educational tools were presented, and their suitability was analyzed. Through the questionnaire, it was concluded that it is most suitable for the teacher to select and preprocess data in advance according to the purpose of the class, and the classification and prediction algorithms are suitable for elementary AI education. In addition, it was confirmed that Entry is most suitable as an AI educational tool, and materials that explain mathematical knowledge are needed to educate the concept of learning of AI. This study is meaningful in that it specifically presents the categories of algorithms and data with in AI education for elementary school students, and analyzes the need for related mathematics education and appropriate AI educational tools.

• Journal of Elementary Mathematics Education in Korea
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• v.11 no.2
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• pp.161-176
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• 2007

It is useless to say that time is precious and important. So it does when we emphasize the importance of studying the quality and efficiency of time in learning, especially in the learning of Mathematics. In this respect, this study aims to examine the overall structure of time application in the learning of Mathematics, understanding the state and problems of Mathematics education in respect of time application, and finally seeking to find the solutions for the problems. As a first step, the items below were examined for the solutions: First, the eight viewpoints of time in Mathematics education was examined and the meaning of each viewpoint was analysed. Second, the variables resulting from teachers was examined. The preconditions for mathematics education, the attitude towards Mathematics classes, viewpoints of mathematics, the forms of self-expression, the way of utterance can be considered as the variables mentioned above. Third, the variables resulting from students was examined. Learning attitude, specific activity(both meaningful and meaningless), practical uses of teaching tools, game activities, the ways of communication and problem solving can be examined as well. In conclusion, it needs to be stressed that Mathematics class should be the meaningful time for learners, parents, and teachers. The class should guarantee the satisfaction of the learners. In other words, even if physical time is applied the same to everyone, it may differ in degree of quality and value of time application according to the way one spends the time.

• Journal for History of Mathematics
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• v.24 no.2
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• pp.31-46
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• 2011

[ ${\ll}$ ]n divisions of figures(${\pi}{\varepsilon}{\rho}{\acute{\iota}}\;{\delta}{\iota}{\alpha}{\iota}{\rho}{\acute{\varepsilon}}{\sigma}{\varepsilon}{\omega}{\nu}\;{\beta}{\iota}{\beta}{\lambda}{\acute{\iota}}o{\nu}$)${\gg}$ is one of the works written by Euclid, but little known to us. In this paper, we introduce this Euclid's book on divisions of figures with its brief history, analyse its contents, and discuss how to use it in mathematics education.

• Journal of Practical Engineering Education
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• v.15 no.3
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• pp.605-614
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• 2023

In In the era of digital transition, AI-based personalized services are emerging in the field of education. This research aims to examine the development strategies for implementing AI-based learning services in school. Focusing on AI-based math learning service "Math Cell" developed by i-Scream Edu, this study surveyed the functional requirements from the perspective of an educator. The results were analyzed for importance and suitability using IPA, and expert opinions were surveyed to explore specific development directions for the service. Consequently, importance in all areas such as diagnosis, learning, evaluation, and management averaged 4.82 and performance averaged 4.56, showing excellent results in most questions, and in particular, importance was higher than performance. Among certain detailed functions, concept learning, customized task presentation, evaluation result analysis function, dashboard-related functions, and learning materials in the dashboard were not intuitive for students to understand and had to be supplemented. This study provides meaningful insights by summarizing expert opinions on AI-based personalized mathematics learning services, thereby contributing to the exploration of the development strategies for "Math Cell".

• Journal of the Korean School Mathematics Society
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• v.8 no.1
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• pp.77-87
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• 2005

Smith(2001) calls for practice-based professional development for teachers of mathematics. This paper discusses laboratory class as a model for conducting professional development program for a group f elementary school mathematics teachers. The laboratory class seeks to promote teachers' generative growth (Carpenter & Levi, 1999) and all the core and structural features (Garet, Porter, Desimone, Birman & Kwang, 2001) of a professional development are also engaged in this program and the ultimate goal is for teachers to be reflective in their practices to be generative (Carpenter & Leher, 1999) in their teaching and learning. This paper also discusses the design of the laboratory class based on the principles of reflective thinking and psychological observation by Dewey to connect theory with practice.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.335-354
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• 2019

The purpose of this study is to explore alternative ways of teaching derivatives in a way that emphasizes intuition. For this purpose, the contents related to derivatives in Korean curriculum and textbooks were analyzed by comparing with contents in Singapore Curriculum and textbooks. Singapore, where the curriculum deals with derivatives relatively earlier than Korea, introduces the concept of derivatives and differentiation as the slope of tangent instead of the rate of instantaneous change in textbook. Also, Singapore use technology and inductive extrapolation to emphasize intuition rather than form and logic. Further, from the results of the exploration of other foreign cases, we confirm that the UK and Australia also emphasized intuition in teaching derivatives and differentiation. Based on the results, we discuss the meaning and implication of introducing derivatives and teaching differentiation in a way that emphasizes intuition. Finally, we propose the implications for the alternative way of teaching differentiation.

• Journal for History of Mathematics
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• v.19 no.1
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• pp.65-78
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• 2006

The law of refraction, which is called Snell's law in physics, has a significant meaning in mathematics history. After Snell empirically discovered the refraction law $\frac{v_1}{sin{\theta}_1}=\frac{v_2}{sin{\theta}_2$ through countless observations, many mathematicians endeavored to deduce it from the least time principle, and the need to surmount these difficulties was one of the driving forces behind the early development of calculus by Leibniz. Fermat solved it far advance of others by inventing a method that eventually led to the differential calculus. Historically, mathematics has developed in close connection with physics. Physics needs mathematics as an auxiliary discipline, but physics can also belong to the lived-through reality from which mathematics is provided with subject matters and suggestions. The refraction law is a suggestive example of interrelations between mathematical and physical theories. Freudenthal said that a purpose of mathematics education is to learn how to apply mathematics as well as to learn ready-made mathematics. I think that the refraction law could be a relevant content for this purpose. It is pedagogically sound to start in high school with a quasi-empirical approach to refraction. In college, mathematics and physics majors can study diverse mathematical proof including Fermat's original method in the context of discussing the phenomenon of refraction of light. This would be a ideal environment for such pursuit.

• Communications of Mathematical Education
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• v.20 no.2 s.26
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• pp.295-326
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• 2006

Despite the importance of mathematics education, many students in high school have lost their interests and felt difficulties and they don't have 'mathematical' experience with meanings attached because of the entrance examination. This paper attempted to resolve these problems and find the teaching-method with which students can study by themselves with more confidence. Nowadays students' use of Internet is very popular. After develop 'the development of mathematical power' program based on mathematics history, history, science, the application of problems in real world, and self-evaluation, I made students repeat them after making teaching lessons in classroom as moving pictures. Through this processes, I attempted to develop the Self-Directed Learning' ability by making public education substantial. First of all I analyzed the actual conditions on 'Self-Directed Learning' ability in mathematics subject, the conditions of seeing and hearing in Internet learning program, and students' and their parents' interests in Internet education. By analyzing the records, I observed the significance of the introducing mathematics history in mathematics subject in early stager, cooperative-learning, leveled-learning, self-directed learning, and Internet learning. Actually in aspect of applying 'the development of mathematical power' program, at first I made up the educational conditions to fix the program, collected the teaching materials, established the system of teaching-learning model, developed materials for the learning applying Internet mail and instruments of classroom, and carried out instruction to establish and practice mathematics learning plan. Then I applied the teaching-learning model of leveled cooperation and presentation loaming and at the same time constructed and used the leveled learning materials of complementary, average, and advanced process and instructed to watch teaching moving pictures through Internet mail and in the classroom. After that I observed how effective this program was through the interest arid attitude toward mathematics subject, learning accomplishment, and the change of self-directed learning. Finally, I wrote the conclusion and suggestion on the preparation of conditions fur the students' voluntary participation in mathematics learning and the project and application on 'the development of mathematical power' program and repeated learning with the materials of moving pictures in classroom.

• The KIPS Transactions:PartB
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• v.14B no.1 s.111
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• pp.43-50
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• 2007

This study proposes design of courseware based on scaffolding for teaching math word problem solving of students with intellectual disabilities. This courseware not only offer various technological supports to solving difficult problems of students with intellectual disabilities but also systematically withdraw that supports. Compared with previous related softwares, this courseware has potential that can adapt math strategies to meet different needs of individuals with intellectual disabilities, increase independent learning ability of learners and maintain high level of motive through successful problem solving experience.

• The Journal of the Korea Contents Association
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• v.16 no.10
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• pp.364-372
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• 2016

The purpose of this study was to investigate preservice mathematics teachers' perceptions for mathematics digital textbook. To do this, we provided a questionnaire to 52 preservice mathematics teachers and analysed the questionnaires. The questionnaire was investigated using 5 point scale. The results of this study can be summarized as follows. First, the preservice mathematics teachers' perception on effectiveness of mathematics digital textbook was positive. Second, the preservice mathematics teachers' perception on interaction of mathematics digital textbook was normal. Third, the preservice mathematics teachers' perception on interest of mathematics digital textbook was positive. Fourth, the preservice mathematics teachers' perception on students' health of mathematics digital textbook was normal. Fifth, the preservice mathematics teachers' perception on class-management of mathematics digital textbook was normal. Sixth, some preservice mathematics responded that mathematics digital textbook was efficient to teach a function or a geometry, others responded that paper textbook was more efficient to teach a mathematics.