• School Mathematics
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• v.8 no.1
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• pp.89-106
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• 2006

In this research, we investigated the effects of mathematics education in using Socrates , method in a course of mathematics education in teacher's college. And we proposed some suggestions for education of future mathematics teachers. This study was conducted with 44 university students(third grade) who entered the department of mathematics education (future mathematics teachers) in 2005. We took a course in curriculum that was required for the future mathematics teachers in my department. In this course, we began with the reading the famous dialogue between Socrates and Meno's slave. And we analysed Socrates' questioning of Meno's slave and tried to understand what this dialogue is implicating in mathematics education. All the participants in this course was divided 11 groups. Each group designed a school mathematics class plan using Socrates' method and practiced their teaching plan by a performance(students' announcements). Through the analysis of research data. Five effects of mathematics education in using Socrates' method for future mathematics teachers were induced. Therefore, we suggest that future mathematics teacher need to have many opportunity to design and practice a mathematics teaching plan by using mathematics teaching-learning methods taught in their course.

• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.575-595
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• 2006

In this paper, we investigated the effects of mathematics classes using play-action programs in the course of mathematics education of future elementary school teachers. This study was conducted with 43 junior university students who selected 'Play Mathematics' in 2006. All the participants in this course was divided 11 groups. Play-action mathematics programs was consisted of 12 themes. For example, there was tangram, somacube, hexamino, tessellation, geoboard etc. In the beginning of lessons, we investigated theses themes itself through plays, puzzles, games, and computer programs. And next time, we investigated the relationships between these themes and elementary mathematic textbooks(i.e. mathematical contents). In 14th and 15th lessons, all the groups took a project presentation lessons that included all things about play mathematics in all group categories. And they developed two themes of play mathematics in accordance with grades, contents, levels as course tasks. Through this study, three educational effects induced. First, future elementary school teachers have a deep understanding about play-action mathematics. They are interested in these play themes, and take part in these play mathematics programs of their own accord. And they realize that these play themes are related to elementary mathematics. Second, future elementary school teachers' attitude and mind about mathematical are improved after this course. Third, future elementary school teachers comprehend various instruction methods relating to play mathematics. Therefore, we suggest that future elementary school teachers need to have many opportunity to experience and develop a mathematics classes using play mathematics.

• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.345-359
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• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

• Journal for History of Mathematics
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• v.29 no.5
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• pp.267-278
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• 2016

Mathematics is a kind of language, and even a tool of cognition for human beings. Mathematics has been used to communicate and to develop the civilizations through the history. So mathematics is one of the most important subjects for human to teach and learn. Especially, developed countries believe that mathematics will play very important roles in the developments of future industries and so future society. In this article, we clarify that combinatorics which is mainly represented by counting is an important ingredient of future mathematics education. To do so, we investigate the characteristics of combinatorics from the educational and cognitive perspectives.

• Journal of the Korean School Mathematics Society
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• v.15 no.4
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• pp.673-698
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• 2012

In this study, we suggest the standards for future mathematics classroom from environment, teachers, and students aspects. Future mathematics classroom should have the three environmental standards that perform responsible roles and appropriate functions of physical resources and classroom space. In the teacher standards' domain, we presented as a total of eight kinds. Concretely, we proposed the four standards for improvement of mathematical teacher's instructional expertise and the four standards for improvement of abilities of learners. The students standards consist of 4 domain a such as 3 standards of mathematical investigation and problem solving, 3 standards of cooperation and communication, 1 standard of utilization and operation of mathematical technologies and learning support systems, 2 standard of digital ethics and citizenship. Also, we developed the mathematical convergence instruction model and reported the results of its application after the lessons conducted in the classroom equipped with advanced environmental and technologies. We presented the convergence instruction model and scenarios focused on thoughts and actions of teachers and students in the future mathematics classroom.

• Journal for History of Mathematics
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• v.30 no.6
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• pp.327-339
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• 2017

Recently industry goes through enormous revolution. Related to this, major changes in applied mathematics are occurring while coping with the new trends like machine learning and data analysis. The last two decades have shown practical applicability of the long-developed mathematical theories, especially some advanced mathematics which had not been introduced to applied mathematics. In this concern some countries like the U.S. or Australia have studied the changing environments related to mathematics and its applications and deduce strategies for mathematics research and education. In this paper we review some of their studies and discuss possible relations with the history of mathematics.

• Journal for History of Mathematics
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• v.10 no.2
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• pp.53-63
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• 1997

The paper is analyzed the variety of outlook on the mathematics education as the paradigm of the mathematics in the history of mathematics and suggested the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.12 no.2
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• pp.83-97
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• 1999

This paper analyzes the philosophy of mathematics and outlook on the mathematics education as the Ancient Greece in the history of mathematics. This study tried to find out the direction of outlook on the mathematics education in the future.

• School Mathematics
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• v.1 no.1
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• pp.217-234
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• 1999

The first part of this paper examines the assumptions underlying traditional types of standardized testing compared with assumptions underlying innovative types of performance assessment. The second part focuses on directions for the future. The third part gives examples from closed related projects which were designed to find practical ways to implement recommendations.

• 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.