• Communications of Mathematical Education
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• v.23 no.2
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• pp.197-230
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• 2009

The purpose of the study was to reveal the current situations and suggest some ideas to improve the mathematics education of magnet high schools in Korea. Magnet high schools were founded to offer special professional education for students who are interested in a specialized area. Students were selected based on their abilities and potentials in those fields. In Magnet high schools, the curriculums were constructed based on these objectives. Also close connections were established with universities through professional education. However, many magnet high schools are facing difficulties to chase two rabbits at the same time. Those are university admissions and specialized education for near future employment. Furthermore, increasing number of students who want to study at the university level cause more difficulties. The results of the study indicated several suggestions to improve current situation of the magnet high schools.

• School Mathematics
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• v.15 no.2
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• pp.315-335
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• 2013

Probability has distinctive characteristics which are different from other areas of school mathematics. The critical change can be noticed in the domain, 'probability and statistics' of 2009 revised national curriculum for elementary school mathematics. This indicates that the concept of chance is supposed to be taught in the 5~6 grade band instead of the definition of probability which is moved to the middle school level. The purpose of this study is to seek desirable methods for teaching the concept of chance which reflect the achievement criteria and the attention point for teaching and learning of the curriculum at the point of time when textbooks haven't yet been developed. To do this, based on theoretical considerations and comparative analysis of the curricula in the longitudinal - latitudinal dimensions respectively, the validity of the latest curriculum change was confirmed and several learning activities were devised. And then two lessons were planned for applying these activities to eight fifth graders and were implemented along the plan. As a result, the relevance of the learning activities was examined and students' difficulties in learning the concept of chance with educational implications were discussed.

• Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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• v.8 no.12
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• pp.1-10
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• 2018

The purpose of this study is to analyze the mathematics competencies required in middle school Korean language class to find out ways to improve student's debate ability. The results of the analysis showed that creativity and information processing ability in research activities; problem solving ability, creativity, information processing ability in planning activities; reasoning and creativity, information processing ability in rebutting activities; problem solving and reasoning in summary activities. In cross-inquiry activities, problem solving and reasoning, information processing, and creativity are required; creativity in final focus; problem solving and reasoning ability in judgment and general review; preparation time activities require problem solving, reasoning, and information processing ability. Therefore, in order to improve the debate ability of the students, it is required that the mathematics competencies such as problem solving, reasoning, information processing, and creativity are increased.

• Journal of Gifted/Talented Education
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• v.13 no.1
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• pp.81-95
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• 2003

There have been tremendous needs and requirements of special education for the gifted to the level of country development and for developing their talents. Even though a lot of research has been done on special education for the gifted supported by the government, lack of educational materials and material development has been a main concern. Some trails using the web with the help of information technology have been made on distance education and resulted good effect on education. No application using a web-based educational method has been made on special education for the gifted so far. This paper describes about the web-based special education for the gifted on mathematics. The discussed topics are development of educational materials, compliments of the current educational materials in mathematics being used at the KIGES(Kyungnam Institute of the Gifted Education in Science), and the continuation of special education for the gifted. Furthermore, a better and more efficient way is suggested for special education for the gifted that has been limited by geographic and locational restrictions.

• Journal of the Korean School Mathematics Society
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• v.7 no.1
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• pp.71-81
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• 2004

This study aimed at analyzing the real situations and problems related to the performance assessment and surveying the relationship between performance assessment and teaching-learning in schools. Especially, It focused on the performance assessment through ICT teaching method. Next, by suggesting performance assessment patterns in Math, this study tried to approach solution as follow: difficulties in setting up evaluation items, objectiveness or impartiality in evaluation, complexity in putting them into practice, time modulation related to evaluation, reduction of teachers' heavy burden in teaching and achievement to specific aims in each period. Finally, some suggestions were made as follow: more concerns and efforts were needed to establish better math teachers and physical environment with regard to teaching math in schools.

• Journal for History of Mathematics
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• v.24 no.4
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• pp.97-118
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• 2011

This study aimed finding effective models for the teaching the concept of function. We selected two models. One is discrete model which focuses on the 'corresponding relation of the elements of the sets(domain and range). The other is continuous model which focuses on the dependent relationship of the two variables connected in variable phenomenon. A vending machine model was used as a discrete model, and a water bucket model was used as a continuous model in our study. We taught 2 times about the concept of function using two models to the 60 students (7th grade, 2 classes) living in Taebak city, and tested it twice, after class and about 3 months later. A vending machine model was helpful in understanding the definition of function in the 7th grade math textbook. Also, it was helpful to making concept image and to recalling it. On the other hand, students who used the water bucket model had a difficultly in understanding the all independent variables of the domain corresponding to the dependent variables. But they excelled in tasks making formula expression and understanding changing situations.

• The Mathematical Education
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• v.58 no.3
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• pp.423-442
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• 2019

Stepping into the beginning of the fourth industrial revolution, we need new mathematics education plans and policies to foster talent in people for future. Investigating the present condition and teachers' perceptions of mathematics education in schools is an essential process in making mathematics education plans and policies that reflect the periodical changes and social needs. Thus, we developed a survey to investigate teachers' perceptions and present condition of mathematics education, conducted the survey for teachers in elementary, middle, and high schools, and analyzed the results of the survey. In this study, focusing on the results of the survey, we interpreted the results and provided implications for mathematics educational policies. Through frequency analysis of individual questionnaires and crosstabulation analysis between questionnaires, we could provide mathematics teachers' overall perceptions of mathematics education and basic information on the conditions of mathematics education in the schools. In addition, the findings of this study suggest that policymakers should consider the followings when developing new mathematics education plans and policies: having the proper number of students per class, reducing non-teaching work, supporting teachers' expertise in evaluation, improving Internet access and technology equipment, supporting the school administrators' change of perceptions of mathematics education, retraining teachers in the active use of ICT or technological tools, and supporting students having difficulty learning mathematics.

• Communications of Mathematical Education
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• v.14
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• pp.197-215
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• 2001

최근 수학적 사고력 연구가 구체적 수학내용에 기반한 활동과 조작에 대한 연구보다는 활동이나 조작을 통한 결과로 수학적 사고력에 접근하는 일회성 연구로 이루어지는 경향이 있다. 본고에서는 교육 내용을 선정하기 위해 학교수학에서 아동들이 어떤 수학적 사고를 하는데 장애을 겪는지에 주목하여, 이러한 장애를 극복하는 것을 통해 수학적 사고력의 신장을 생각해보고자 하였다. 이에 대수에서는 문자도입에 따른 추상적 상징의 수용과 이용부분에서, 기하에서는 논증기하의 증명도입과정에서 형식적, 연역적 사고 시작으로 아동이 수학적 사고에 어려움을 겪는다는 사살에 주목하였다. 특히 논증 기하의 연역적, 형식적 증명은 논리와 추론이 바탕이 되어야 한다. 그런데 논리와 추론은 고등학교 1학년과정 집합과 명제부분에 들어있어 아동은 논리와 추론에 대한 어떤 경험도, 교육도 받지 않은 상태에서 증명을 하게 된다. 이에 교육 내용으로 수학적 사고력을 신장을 위해 가장 필요한 내용이 논증 기하가 도입되기 이전에 초등학교 5,6학년 아동을 대상으로한 논리와 추론교육이라고 본다. 또한 교육 방법으로는 컴퓨터를 이용한 교육공학적 접근을 하고자 하였다. 교육공학적 접근이 적극 권장되는 교육적 현실과 정규교육과정에서 이를 받아들일만한 시간적 여유가 없음을 감안하여, 교과 내용과 연계된 컴퓨터 교육을 제안하는 바이다. 이에 논리 및 추론 교육은 컴퓨터 교육으로 초등학교의 특기적성 시간이나 정규수업 시간에 이용할 것을 제안한다. 논리와 추론교육을 위해 무엇을 어떻게 가르칠 것인가에 대한 답으로 논리와 추론교육에 적합한 수학적 내용으로 크게 이산수학과 중등 기하의 초등화하여 탐구하도록 하는 내용을, 교육 방법 측면에서는 논리와 추론 교육을 위한 LOGO 기반 마이크로월드를 설계, 이용하여 수학적 사고력을 신장시키고자 한다. 여기까지가 수학적 사고력을 위한 가능성을 모색한 것이라면 후속연구로 이러한 가능성을 실험연구로 검증하고자 한다.

• Communications of Mathematical Education
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• v.23 no.3
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• pp.483-506
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• 2009

In this study, as a way to develop students' latent ability of mathematics, we asked the students to write on the ways to develop their potential in mathematics. Each student chose his own topic relating to the development of potential in mathematics. In addition, we distributed questionnaires on the same topic to the students. The contents of questionnaires and the summaries of students' writings are given in appendix 1 and 2. Among the submitted writings, good writings and the suggested ideas in them are introduced for more effective instruction of mathematics in college. During the course of conducting this study, we had a good experience of seeking and finding the ways to develop students' potential in mathematics. Finally, for more rigorous study on this topic, we felt a need for conducting cooperative research with the colleagues.

• School Mathematics
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• v.9 no.1
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• pp.99-117
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• 2007

In this paper it is discussed how children develop their logical reasoning beyond difficulties in the process of making sense of division with decimals in the classroom setting. When we consider the gap between mathematics at elementary and secondary levels, and given the logical nature of mathematics at the latter levels, it can be seen as important that the aspects of children's logical development in the upper grades in elementary school should be clarified. This study focuses on the teaching and learning of division with decimals in a 5th grade classroom, because it is well known to be difficult for children to understand the meaning of division with decimals. It is suggested that children begin to conceive division as the relationship between the equivalent expressions at the hypothetical-deductive level detached from the concrete one, and that children's explanation based on a reversibility of reciprocity are effective in overcoming the difficulties related to division with decimals. It enables children to conceive multiplication and division as a system of operations.