• 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.

• School Mathematics
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• v.14 no.1
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• pp.109-134
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• 2012

The purpose of this study is to develop authentic assessment model and example tools of mathematics teaching and learning. By reviewing literature researches, we set up the definition of authentic assessment in mathematics education, checked the criterian of authentic assessment tasks and mathematical activities. We searched various assessment models of mathematics teaching and learning, project assessment proceeding model, and criterian of project assessment, and checked various project tasks of the authentic assessment. And we developed authentic assessment model and example tools of mathematics teaching and learning. The model is applied project tasks in the form of being integrated with class to high school students, with high school mathematics especially. Furthermore, we carried the test of content validity for a validity of developed tasks for experts in studies of mathematics education. The result is that authentic assessment model and example tools of mathematics teaching and learning has an significance in mathematics education and can be used to judge whether students are doing 'real' mathematics or not, keeping the applicability in the form of being integrated with class.

• Communications of Mathematical Education
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• v.29 no.2
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• pp.255-279
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• 2015

Educating for character was emphasized in 2009 reformed Korea national mathematics curriculum. Thus, in this study we basically conducted to realize the character education. This study aimed to develop the teaching and learning materials for character education in middle school. For the purpose of this study, the following study was carried out. First, we investigated the concept of character education. Second, based on this, we extracted the three factor(altruism, rationality, course orientation) for character education in mathematics teaching and learning. Third, we developed five teaching and learning models for character education. The five kinds of models are 'Respect model', 'Self-directed model', 'Cooperation-centered model', 'Self-interest model, 'Story sympathy model'. Finally, We have developed a teaching and learning materials in accordance with the models. And, we applied to the classroom and confirmed its effectiveness.

• East Asian mathematical journal
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• v.25 no.3
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• pp.379-397
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• 2009

In this paper we apply to Renzulli's Teaching and Learning models for mathematically gifted students based on the gifted science education center in university. Gifted students were very positive reaction in solving problems creatively using this program, and they were challenging and very confident performing new tasks. They reacted variously in debates with their classmates, in self-initiative studying. So more positive changes are needed for the activities using the gifted learning-teaching program to let each student have full use of his or her possibility and potential.

• Proceedings of the Korean Operations and Management Science Society Conference
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• 1995.04a
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• pp.455-468
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• 1995

기술변화에 의한 상품의 대체과정과 수요 성장 추세를 설명하고자 개발된 기존의 통계학적 수요예측 모형들은 확률밀도함수 또는 특정한 수학적 함수의 외형적 특성을 이용한 함수적 접근방법을 사용한 결과 과거 데이터들의 단순 경향치의 추세 설명에 한정되고 상한치를 향한 무한 접근 성장으로 일관되는 함수적 제약을 안고 있으며, 수요의 영향 요인을 반영하지 못하므로써 데이터가 없는 신제품 서비스 예측에 적용이 불가능한 문제점을 갖고 있다. 본 논문에서는 이들 문제점들을 극복하고 시장에 처음 출하되는 새로운 재화 또는 서비스의 수요예측 및 포화수준 도달 이후의 체감 성장에도 적용가능한 방법론으로서 수용의 결정요인을 반영한 예측모형을 제시한다. 모형의 예측능력을 판단하기 위해 정보통신 분야의 몇가지 대표적 제품 및 서비스를 대상으로 기존 모형(peal 모형, weibull 모형, NUI 모형, compertz 모형)들과 NTPS 모형(Nonasymtotic Technological Product Subsituation Model)을 적용하여 예측 결과를 비교하였다. 또한 본 모형을 활용하여 새로운 제품 및 서비스 수요예측을 위한 모수의 특성에 대하여도 검토해 보았다.

• Education of Primary School Mathematics
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• v.15 no.1
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• pp.31-40
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• 2012

In this paper, we developed teaching learning models using a numeral operation for the mathematical gifted focused on the design of a circle using GSP and investigated effects of this models. This model gave gifted-students to be able to produce creative outputs with mathematical principles and practicality and beauty of mathematics. We found following facts. Firstly, a developed teaching-learning model improves a mathematical gifted student's mathematical creativity as analytic thinking and deductive inference. Secondly, a circular design using GSP helps gifted students to understand the abstract rules because mathematical patterns was represented visually by a circular design. Lastly, a circular design using a numeral operation is helpful to gifted students revealing to creativity and beauty of mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.2
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• pp.189-209
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• 2014

This study designed and developed a model of ill-structured problem solving and ill-structured problems for the 4th, 5th, and 6th graders. In addition, two sets of ill-structured problems has been explored to 23 4th graders, 33 5th graders, and 23 6th graders in elementary schools in order to investigate their problem solving, creative personality, and mathematical reasoning. The model of ill-structured problem solving was suggested ABCDE (Analyze-Browse-Create-DecisionMaking-Evaluate) model and analyzed participants' problem solving procedure. As results, participants showed improvement between pretest and posttest in problem solving and the high graders showed the greater creative personality.

• Journal of Gifted/Talented Education
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• v.20 no.1
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• pp.205-229
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• 2010

The R&E(Research and Education) programs in Mathematics, which have the objects to give students mathematically creative experiences and enlarge creativities of the study of mathematics, could not give the experiences as creative researchers because of the following reasons: The students did not participate in the process of choosing the subjects, the evaluation of individual students actually did not existed, and the publications of mathematics papers have been excluded. In this paper, we study on the issues and some suggestions related to these R&E programs to obtain new R&E Model that gives a mathematically creative experience and enlarges creativities of the study of mathematics.

• School Mathematics
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• v.13 no.1
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• pp.65-88
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• 2011

Epistemological development process of the Fundamental Theorem of Calculus is considered in a history of mathematical notions and the genetic process of the Fundamental Theorem is arranged by the order of geometric, algebraic and formalization steps. Based on this, we studied students' episte- mological obstacles and error and analyzed the content of textbooks related the Fundamental Theorem of Calculus. Then, We developed the "Folding Back Model" of the fundamental theorem of calculus for students to lead meaningful faithfully. The Folding Back Model consists of "the Framework of thou- ght"(figure V-1) and "the Model of genetic understanding of concept"(figure V-2). The framework of thought in the Folding Back Model is included steps of pedagogical intervention which is used "the Monitoring working questions"(table V-3) by the mathematics teacher. The Folding Back Model is applied the Pirie-Kieren Theory(1991), history of mathematical notions and students' epistemological obstacles to practical use of instructional design. The Folding Back Model will contribute the professional development of mathematics teachers and improvement of thinking skills of students when they learn the Fundamental Theorem of Calculus.

• KDI Journal of Economic Policy
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• v.15 no.4
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• pp.69-112
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• 1993

최근 한국(韓國)을 비롯한 동(東)아시아지역(地域) 몇 나라들의 성공적인 성장업적(成長業績)에 자극되어 이들 국가들의 성공사례를 모형내(模型內)에서 이론적으로 설명해 보려는 노력이 활발히 진행되고 있다. 이 글에서는 최근의 이러한 노력의 일환으로 개발되고 있는 '내생적(內生的) 성장이론(成長理論)'을 개관하고 그 함의(含意)와 한계점(限界點)을 정리해 보았다. 먼저 내생적(內生的) 성장모형(成長模型)의 비판대상이 되고 있는 신고전파(新古典派) 성장모형(成長模型)의 한계점(限界點)을 요약하고 대체모형(代替模型)으로 제시되고 있는 몇 가지의 대표적인 신성장모형(新成長模型)을 그 특성별로 구분하여 정리하였다. 성장(成長)의 기본적 동인(動因)이라고 할 수 있는 기술진보(技術進步)나 인적자본(人的資本)의 축적(蓄積)을 내생화시키고 이를 통해 국가간(國家間) 성장률(成長率) 격차(隔差)를 모형내(模型內)에서 설명하려고 시도하는 등 여러 가지 새로운 이론적(理論的) 혁신(革新)이 이루어지고 있으나, 아직 비현실적인 수학적(數學的) 가정에 의존하고 있고 모형(模型)의 경직성으로 인하여 성장과정(成長過程)의 설명에 필수적인 주요 이슈들이 간과되어 있다는 점 등을 지적하였다.