• Journal for History of Mathematics
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• v.34 no.3
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• pp.113-115
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• 2021

An elementary proof of the Catalan Theorem is given.

• Cartoon and Animation Studies
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• s.37
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• pp.393-411
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• 2014

The volume of world market for serious game in year 2015 is expected to be about 9.6 trillion, and the volume of educational serious game market is expected to surpass half of the whole serious game market. In Korea, the development of game for educational purpose has dominated around the education enterprises since late 90s. In 2008, 'Serious Game Forum' was founded led by the Ministry of Culture, Sports, and Tourism with experts from many fields in the society and there were progressing of making policies and plans for potential development of the serious game industry, but the effects were not successful than expected. In 2012, the Ministry of Education, Science, and Technology announced commercialization policy of digital textbook by 2015 and the serious game for educational purpose got attention again. Then, the serious game market became more vigorous with the dispersion of smart devices.13) As a result, the serious games on the smart devices or interlocking between the online and smart devices became an important issue in development rather than the online only serious games. Math field has international competitive power through export in the educational serious game market which takes more than half of the serious game market. Therefore, developing serious game for math education is a good area to raise competitiveness in domestic and international game industries. Moreover, it has no received preferences from students and parents although it has high potential for positive change of individuals and society. The reason is that students recognize it as educational content rather than a game and they avoid it, while parents recognize it as game but not an education. This phenomenon happens because the game elements and educational elements are not properly mixed but focused only on education or emphasized only the fun factors of game when it was developed. Therefore, the purpose of this research is to suggest a direction of developing serious games effectively combining with elementary math for elementary students to get interested in math while playing games. The research will analyze the current elementary math textbooks and find contents which may be combined with the game genre that elementary students enjoy playing these days. This research received advice from serious game developers and math education expert group to reflect the inclination of elementary school students, and respond to the demands from parents and educational institutions, and suggested a direction of developing serious games for effective math education.

• Journal of Elementary Mathematics Education in Korea
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• v.21 no.3
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• pp.415-441
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• 2017

The purpose of this study is to develop elementary school math classes for the gifted and talented with a focus on social issues to investigate the possibility of character education through specialized subject classes. As suggested in the goals of the math education for social justice, which provide the fundamental theoretical basis, through mathematics activities with a theme of social issues, mathematically gifted and talented young students can critically perceive social issues, express a sense of mathematical and critical agency throughout the course and develop a willingness and mindset to contribute to social progress. In particular, the concept of Figured Worlds and agency is applied to this study to explain the concept of elementary math classes for the gifted and talented with a focus on social issues. The concept is also used as the theoretical framework for the design and analysis of the curriculum. Figured Worlds is defined as the actual world composed of social and cultural elements (Holland et al., 1998) and can be described as the framework used by the individual or the social structure to perceive and interpret their surroundings. Agency refers to the power of practice that allows one to perceive the potential for change within the Figured Worlds that he is a part of and to change the existing Figured Worlds. This study sees as its purpose the fostering of young talent that has the agency to critically perceive the social structure or Figured Worlds through math classes with a theme of social issues, and thus become a social capital that can contribute to social progress.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.2
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• pp.219-245
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• 2019

The purpose of this study is to provide basic data for the next curriculum revision, as well as to foster improvements to the quality of the Korean elementary school math classes by analyzing and comparing the Korean 2015 revised curriculum with the current Japanese curriculum of math. To accomplish this purpose, the research questions were set as follows. 1. What are the directions for revising Korean 2015 revised curriculum and the Japanese curriculum for elementary school mathematics? 2. What is the difference between the elements of learning content offered in the respective Korean and Japanese curriculums for elementary school mathematics? The conclusions of this study are as follows. Firstly, although Korea and Japan share common core statistical education objectives, they approach their goals with different methods. Korea focuses on academic competency, while Japan focuses on fostering the "power to live". For the learning process, Korea emphasized process-focused evaluation, while Japan emphasized fostering mathematical thought and thinking through mathematical activities. For class improvement, Korea focused on reducing the learning burden through appropriating the amount of learning by shifting or removing some elements of the learning content. Japan, on the other hand, refocused their attention on improving active learning within the classroom, and also increased the hours of math class within their curriculum. Secondly, there was a difference in the content composition of the curriculums of Korea and Japan. By comparing the elements of learning content, I got the conclusions for the next curriculum revision in Korea.

• Journal of Elementary Mathematics Education in Korea
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• v.12 no.2
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• pp.185-204
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• 2008

The purposes of this study are to analyze sentence structures of word problems suggested in educational math programs for the 2nd grade elementary students and error patterns in sentence interpretation, and examine how sentence structures influence on errors during sentence comprehension. Based on the results of the analysis on 168 word problems suggested in math textbooks for the 2nd grade elementary students and error patterns observed while 160 the 2nd grade elementary students attempted to solve math word problems, easy and simple vocabularies are repeatedly used in the sentence structures of word problems and specific real life materials such as fruits, books, the number of people and etc. were repeatedly used. 51.56% of errors in sentence interpretation observed was higher than 39.20% of calculation errors and backtracking operation, a length of sentences, the numbers used in questions and off were analyzed to be involved in the errors in interpretation. Therefore, it is very important to make word problems from a student's points of view rather than a teacher's point of view and the study suggests that teachers help students learn basic sentence interpretation skills.

• The Mathematical Education
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• v.63 no.2
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• pp.369-385
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• 2024

With the advancement of digital technology, a variety of digital materials are being utilized in education. For their appropriate use of digital resources, teachers need to be able to evaluate the quality of digital resource and determine the suitability for teaching. This study explored how preservice teachers evaluate TocToc-Math, an Artificial Intelligence (AI)-based math support system. Based on an evaluation framework developed through prior research, preservice teachers evaluated TocToc-Math with evidence-based criteria, including content quality, pedagogy, technology use, and mathematics curriculum alignment. The findings shows that preservice teachers positively evaluated TocToc-Math overall. The evaluation tendencies of preservice teachers were classified into three groups, and the specific characteristics of each factor differed depending on the group. Based on the research results, we suggest implications for improving preservice teachers' evaluation abilities regarding the use of digital technology and AI in mathematics education.

• The Mathematical Education
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• v.50 no.3
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• pp.367-381
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• 2011

It is important to concern about individual difference on every subject and every class. How can we know the individual difference? It is helpful for that to find out students' math learning style and learning type. In this paper, I conducted a survey to look for math learning style and math learning type of 4th, 5th and 6th grade students, and analyzed those data. The research findings are summarized as follows; First, 4th, 5th and 6th grade students prefer the visual learning style to the verbal style, and they have more wholistic tendency than analytical tendency in the domain of the cognitive learning style. Second, they prefer the authoritative and goal-oriented learning style to the practical and recreational learning style, and they have more interior-oriented than exterior-oriented in the domain of affective learning style. Third, the representative math learning type of 4th, 5th and 6th grade students is visual/holistic/authoritative and goal-oriented/interior-oriented. The math learning styles of students have a lot of influence on their learning, so that an appropriate teaching method for each student could arouse a maximum effect in the math study.

• Journal of Gifted/Talented Education
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• v.20 no.2
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• pp.461-486
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• 2010

By learning math, constructing math problems helps us to improve analytical thinking ability and have a positive attitude and competency towards math leaning. Especially, gifted students should create math problems under certain circumstances beyond the level of solving given math problems. In this study, I examined the math problems made by the gifted students after the process of raising questions and discussing them for themselves by doing origami. I intended to get suggestions by analyzing of problem posing strategy and method facilitating the thinking of mathematics gifted students in an origami program.

• School Mathematics
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• v.4 no.3
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• pp.331-346
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• 2002

This study has two purposes. One is to know that it is Possible to use portfolio in the elementary math class. The other is to make a useful method for using portfolio. We got the following conclusion through the study. Portfolio gave students an opportunity that they could review their mathematical thinking. But it couldn't work very well for the low-level students. They didn't pay attention to the class. So, careful prepa-ration and training were necessary for the portfolio material. And the portfolio material must be prepared by appropriate contents. Teacher had to do math class by considering students ability. The math class could be much better for motivation, teaching-learning activity impro-vement and communication tool by using portfolio material. There are several imple-mentation processes in preparation, execution and utilization of the class. 1) Preparation: Teacher must decide if it is appropriate for portfolio by analyzing the course and textbook and set a final goal. And then teacher has to select an appropriate item and make a schedule for the class. The portfolio material must contain valuable things from which students learn mathematics and use in their life. The student level, utilization purpose and contents are considered when one prepares portfolio material. 2) Execution: Students are supposed to understand about the portfolio very well. It is important for them to get the opportunity for reviewing through math class diary, their opinion, friends opinion and teachers opinion. 3) Utilization: Parents review ameliorates the communication among teacher, student and parents about learning activity.

• Education of Primary School Mathematics
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• v.10 no.2
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• pp.77-110
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• 2007

This study attempted to investigate how to students show high-level mathematical thinking in math classes. This paper describes how to setup the task for lead to a high - level of thinking out students and what efforts are required while a teacher tried to maintaining students's high-level cognition during the tasks implemented. The researcher as teacher analyzed the tasks of length measurement unit in 2-Ga elementary math textbooks, modified and created math tasks demanded students' high-level cognition, made instruction plans, and implemented those tasks maintaining the levels of cognitive demand of tasks. After that, the researcher reflected and analyzed the levels of cognitive demand of tasks of instruction and factors that cause to change intended high-level cognitive demand. After reflection, second roof of action research was conducted to 2-Na length measurement unit. This paper includes those results and reflections of practitioner.