• Journal of the Korean School Mathematics Society
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• v.10 no.1
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• pp.1-25
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• 2007

The purpose of this study is to investigate the degree of mathematics teachers' recognition and understanding of mathematics education curriculum at the college of education. The subject of this study is 30 secondary school mathematics teachers who graduated from the department of mathematics education at the college of education. To accomplish this study, loather's knowledge is divided into two groups such as 'subject matter knowledge' (ready-made mathematics) and 'pedagogical content knowledge' (school mathematics and its teaching planning and methods). As a result, this study examines which subjects are required to achieve the pedagogical content knowledge in order to be a professional mathematics teacher.

• Journal for History of Mathematics
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• v.16 no.2
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• pp.71-86
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• 2003

Mathematics becomes more indispensible course today, while it seems approaching to the middle school students as a boring and hard one. So, we need to take more motivational teaching devices as well as mere emphases on its importance in order to keep the students up to tile curriculum and improve the education efficiency. Then, history of mathematics call lie one major source of the motivation, since, by telling the tales on the specific unit subject, teachers can awake the students'interest naturally. Today, most of the mathematics textbooks for the middle school students have some historical tales about each unit subject in their respective unit introduction. However, many tales don't seem quite helpful or motivating to understand unit subjects, for they are either abstract or fragmental. In that sense, this paper has three sample guidelines for teaching, which ate meant to introduce historical tales to motivate the students before teachers may get into tile main unit subject. Those suggested in this paper may work as the motivational teaching devices which would make the students mote interested, more positive, and consequently more successful in mathematics.

• School Mathematics
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• v.1 no.2
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• pp.617-636
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• 1999

This study was executed with the intention of guiding ‘open education’ toward a desirable school innovation. The basic two directions of curriculum reconstruction essential for implementing ‘open education’ are one toward intra-subject (within a subject) and inter-subject (among subjects). This study showed an example of intra-subject curriculum reconstruction with a problem solving area included in elementary mathematics curriculum. In the curriculum, diverse strategies to enhance ability to solve problems are included at each grade level. In every elementary math textbook, those strategies are suggested in two chapters called ‘diverse problem solving’, in which problems only dealing with several strategies are introduced. Through this method, students begin to learn problem solving strategies not as something related to mathematical knowledge or contents but only as a skill or method for solving problems. Therefore, problems of ‘diverse problem solving’ chapter should not be dealt with separatedly but while students are learning the mathematical contents connected to those problems. Namely, students must have a chance to solve those problems while learning the contents related to the problem content(subject). By this reasoning, in the name of curriculum reconstruction toward intra-subject, this study showed such case with two ‘diverse problem solving’ chapters of the 4th grade second semester's math textbook.

• The Mathematical Education
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• v.56 no.3
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• pp.319-340
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• 2017

The purpose of this study is to develop teaching and learning materials for the mathematics project inquiry subject. Since this subject is newly opened in the 2015 revised mathematics curriculum, there are no textbooks and materials. Hence it is required to help teachers plan lessons of the mathematics project inquiry subject. For this study, developing directions and objectives are established. Ten hours of lesson plan and teaching and learning materials are also developed for the two themes of 'big data' and 'industrial mathematics'. Suitability and validity of the developed material are verified positively from a survey of 8 teachers and 2 professionals. The detailed result findings are as follows. First, teaching and learning notes are suggested for each lesson plan. They are comprised of building inquiry plan, doing inquiry, summarizing results, and presentation. Second, driving questions of each theme are developed as "What is the big data and where is it used for ?" and "How various is the use of the industrial mathematics ?" respectively. Third, poster-types of each project product are developed. Fourth, three inquiry activity sheets and examples which are theme selection, inquiry plan, and group activity are developed. Fifth, 4 assessment sheets of self, peer, group, and teacher-use are developed.

• Journal of the Korean School Mathematics Society
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• v.23 no.2
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• pp.223-237
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• 2020

Artificial intelligence technology, which represents the era of the 4th Industrial Revolution, is now deeply involved in our lives, and future education places great emphasis on building students' capabilities for the principles and uses of artificial intelligence. Therefore, the purpose of this study is to develop the contents of AI related education in mathematics, which the relationship is closely connected to each other. To this end, I propose establishing two novel AI-related contents in mathematics education. One subject is related to learning the principle of machine learning based on mathematics foundation. In addition, I draw the core math contents dealt in following subject called 'Basic Mathematics for AI and Data Science.'

• Research in Mathematical Education
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• v.17 no.1
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• pp.47-61
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• 2013

This paper aims to explore whether Learning Study improves teachers' subject content knowledge, pedagogical content knowledge, and attitude toward teaching mathematics. A Learning Study was conducted in a Hong Kong primary school for a research lesson on comparing the size of fractions to explore the new teacher roles.

• Research in Mathematical Education
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• v.14 no.2
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• pp.173-194
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• 2010

This study examines the differences and similarities of mathematics teachers' subject matter knowledge among England, the Chinese mainland and Hong Kong. Data were collected from a ten-item test in the SKIMA subject matter audit instrument [Rowland, T.; Martyn, S.; Barber, P. & Heal, C. (2000). Primary teacher trainees' mathematics subject knowledge and classroom performance. In: T. Rowland & C. Morgan (eds.), Research in Mathematics Education, Volume 2 (pp.3-18). ME 2000e.03066] from over 500 participants. Results showed that participants from England performed consistently better, with those from Hong Kong being next and then followed by those from the Chinese mainland. The qualitative data revealed that participants from Hong Kong and the Chinese mainland were fluent in applying routines to solve problems, but had some difficulties in offering explanations or justifications.

• Journal for History of Mathematics
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• v.18 no.1
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• pp.67-74
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• 2005

The purpose of this paper is to analysis with contents on thoughts and problems of philosophy of mathematics concerning around harmonical types of metaphysics and philosophy of mathematics. Moreover, we were gratefully acknowledged that the questions at issue of metaphysics and philosophy of mathematics are possible only in a philosophical position of mathematics in relation to nature of mathematical ion. These attitudes, important as they are in the study of an individual thinker, also have a pronounced effect on the future relation of mathematics to philosophy. And we can guess that many mathematician's research will have significant meaning in the future.

• Journal of Educational Research in Mathematics
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• v.24 no.1
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• pp.29-44
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• 2014

The newly revised mathematics curriculum in 2009 mentioned the mathematics specified classroom. All schools in the secondary school will implement Mathmatics Subject Class System by 2014. Expecing to extend the mathematics specified classroom to the elementary school, this study explores the direction how to configurate and use it. On the ground of previous research on mathematics laboratory and mathematics subject class system, this study makes questionnaire and survey recognition and opinions about mathematics room in the elementary school with elementary school teachers. Based on the result of analysis of questionnaire, this study suggests math cultural experience room, room for mathematical recreation, mathematics specified classroom as the main functions of elementary mathematics room, and utilization of mathematics room to perform such functions. This study provides suggestions about elementary mathematics room differentiated from mathematics subject class system in the secondary school.

• Education of Primary School Mathematics
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• v.17 no.3
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• pp.277-297
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• 2014

In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary first grade mathematics textbooks. STEAM-related subject contents in the textbooks were examined by unit and by strand of the content in the elementary school mathematics curriculum. According to the results, the number and the type of STEAM-related subject contents are different depending on the unit and the strand of the mathematics content. Generally speaking, in each unit and in each strand of mathematics, storytelling liberal arts-related contents are seen the most, followed by non-storytelling liberal arts-related contents and physical education contents in order, while the number of musical contents was very small. So we need to develop different STEAM materials in order to activate STEAM education in our elementary math classrooms.