• 한국수학교육학회지시리즈E:수학교육논문집
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• 제37권3호
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• pp.349-368
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• 2023

2022 개정 교육과정은 언어 소양 및 디지털 소양과 함께 전 교과의 학습을 통해 함양할 수 있는 기초소양으로써 수리 소양의 중요성을 강조하였다. 그러나 수리 소양에 관한 적합한 정의를 내리고 있지 않아 모든 교과의 교육과정에 체계적으로 이를 적용하는 것에 어려움이 있다. 이 연구는 우리나라 교육과정에서 기초소양으로써 수리 소양이 체계적으로 적용될 수 있도록, 문헌 검토를 통해 교육과정에서의 수리 소양의 정의를 명료화하고 타 교과에서의 수리 소양의 적용 양상을 분석하는 것을 목적으로 한다. 이를 위해 먼저 문헌 연구를 통해 수리문해력, 수학 역량 등과 같은 용어와 비교, 대조하고 수리 소양의 의미를 명료화하고 세분화한다. 다음으로 국내외 각 교육과정에서 나타난 수리 소양의 범주를 비교해보고, 수리 소양이 전 교과의 성취기준에 반영된 호주 NSW주의 교육과정에 수리 소양의 적용 양상을 분석한다. 수리 소양의 의미를 세분화하여 각 성질을 이해하고 교육과정에의 적용 양상을 살펴보는 것은 수학 교과 이외의 교과에서도 수리 소양을 반영한 교육과정을 구성하도록 도울 수 있을 것이라 기대한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제48권3호
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• pp.213-234
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• 2009

College students have a diverse educational background with the recent multiplicity in university admissions standards and procedures. As a result, their mathematical preparation and performance varies widely. Teaching calculus to such a diverse student group is a demanding task. Differentiated curriculum has been conducted for the university calculus course in Yonsei university for the past five years. A case study on the differentiated curriculum in Yonsei university is presented for the curriculum improvement. With its ideal purpose, the differentiated curriculum has created issues and problems in practice. As an alternative to the ideal differentiated curriculum, this study shows that a computer-based approach using a numerical software could give aids to overcoming the difficulty of inadequately prepared students in the learning process while mathematically sophisticated students could keep interested in the course. This study also presents the useful topics in calculus that can be implemented for computer-based calculus education and provides guidelines for the effective usage.

• 한국수학교육학회지시리즈A:수학교육
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• 제59권1호
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• pp.1-15
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• 2020

본 연구에서는 2015개정교육과정에서 '경제수학'으로 이동한 '부등식의 영역(inequalities as regions)' 단원과 미적분학 사이의 연계성 및 수학적 연결성을 분석하여 '부등식의 영역'이 미적분학의 중요한 선수학습개념이라는 논지를 제시한다. 교육과정의 연계성 측면에서 직업 교과에 포함된 '경제수학'을 학습하지 않고 이공계에 진학하는 학생들은 '부등식의 영역'의 절차적 개념적 지식의 부재로 인하여 미적분학에서 학습 위계의 '격차'를 경험할 가능성이 크다. 수학적 연결성의 관점에서는 '부등식의 영역'과 밀접한 연관이 있는 미적분학의 다변수함수 이론의 학습에 어려움을 느낄 수 있다고 판단된다.

• 한국수학교육학회지시리즈A:수학교육
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• 제54권1호
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• pp.65-81
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• 2015

The purpose of this study is to investigate the international trends of how the core competencies are reflected in mathematics curriculum, and to find the implications for the revision of Korean mathematics curriculum. For this purpose, the curriculum of the 9 countries including the U.S., Canada(Ontario), England, Australia, Poland, Singapore, China, Taiwan, and Hong Kong were thoroughly reviewed. It was found that a variety of core competencies were reflected in mathematics curricula in the 9 countries such as problem solving, reasoning, communication, mathematical knowledge and skills, selection and use of tools, critical thinking, connection, modelling, application of strategies, mathematical thinking, representation, creativity, utilization of information, and reflection etc. Especially the four most common core competencies (problem solving, reasoning, communication, and creativity) were further analyzed to identify their sub components. Consequently, it was recommended that new mathematics curriculum should consider reflecting various core competencies beyond problem solving, reasoning, and communication, and these core competencies are supposed to combine with mathematics contents to increase their feasibility. Finally considering the fact that software education is getting greater attention in the new curriculum, it is necessary to incorporate computational thinking into mathematics curriculum.

• 대한수학교육학회지:수학교육학연구
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• 제12권2호
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• pp.213-228
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• 2002

We know that curriculum is, first of all, related to teaching materials, namely, contents. Therefore, when we think of mathematics curriculum, we must take account of characteristic of mathematics. Vygotsky has studied the development of scientific concepts and everyday concepts. According to Vygotsky, scientific concepts grow down through spontaneous concepts; spontaneous concepts grow upward through scientific concepts. And mathematics is a representative of subjects dealing with scientific or theoretical concept. Therefore, his study provides scientific basis for mathematics curriculum design. In this context, Davydov notes that everyday concepts are developed through empirical abstraction, while scientific concepts require a theoretical abstraction. And Davydov constructed the curriculum materials for the teaching of number concept. Davydov's curriculum is an example of reflecting Vygotsky' theoretical view and his view about the types of abstraction. In particular, it represents mathematical characteristic of a 'science' by introducing number concept through quantitative relationship and use of signs. In conclusion, stance mathematical concepts have scientific characteristic, mathematics curriculum reflects this characteristic.

• 아동학회지
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• 제35권2호
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• pp.137-156
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• 2014

The purpose of this study was to better understand the tendencies and general distributive features of mathematical educational activities which are presented in the Nuri Curriculum Teaching Guidebooks. This was done by analysis of 628 mathematical activities suggested in those guidebooks, the total number of which was thirty-two. The results of this study can be summarized as follows: First, the number of activities for mathematical education was 204 for the age of three, 223 for the age of four, and 201 for the age of five. Second, these mathematical educational activities are aimed mainly for developing positive attitudes toward mathematics rather than the delivery of mathematical knowledge and skills. Third, the number of activities for developing mathematical inquiry skills was greater than that of activities for developing of inquiry attitudes. Furthermore, the characteristic of understanding the basic concepts of space and figures can be found most frequently in five kinds of activities for mathematical inquiry. Last, the activities for mathematical education are more frequently found in free choice activities rather than group activities. The results of this study also suggest that checking the current status of mathematical education for young children and the Nuri Curriculum Teaching Guidebooks can be utilized for creating teachers' manuals.

• 한국수학교육학회지시리즈A:수학교육
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• 제42권5호
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• pp.595-606
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• 2003

In this paper we analyze the Russian national curriculum for training of mathematics teachers at universities published by Russian Ministry of Education. From the document we are able to know the structure of the curriculum, compulsory subjects, and minimum mathematical contents for training mathematics teachers at universities.

• 한국학교수학회논문집
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• 제4권1호
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• pp.1-8
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• 2001

This paper discusses some variables of innovation arised in the Mathematical Curriculum reform, This means that we should consider the curriculum change based on those variables so that the Mathematical Curriculum could be created on our culture, need of industrial society and nation's system. Those variables could be described as follows. (1) Extension of Compulsory Education (2) Needs of industrial society (3) Change of School environment (4) Integration of School subjects The research method used in the study was the interview-analysis method which the researcher firstly send the questionnaire and then have interviews with the target people. This study also suggests informally a possible solutions of problem that current mathematical curriculum is faced. Those solutions include the change of mathematics syllabus based on the adaption toward the real problems arised in real world.

• 한국수학교육학회지시리즈A:수학교육
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• 제58권1호
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• pp.55-77
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• 2019

Textbooks play a very important role as a medium for implementing curriculum in the school. This study aims to analyze tasks for mathematical competencies in the high school 'mathematics' textbooks based on the 2015 revised mathematics curriculum emphasizing competencies. And our study is based on the following two research question. 1. What is the relationship between core competencies and mathematical competencies? 2. What is the distribution of competencies of tasks for mathematical competencies presented in the textbooks? 3. How does the tasks for mathematical competencies reflect the meaning of the mathematical competencies? For this study, the tasks, marked mathematical competencies, were analyzed by elements of each mathematical competencies based on those concept proposed by basic research for the development of the latest mathematics curriculum. The implications of the study are as follows. First, it is necessary to make efforts to strengthen the connection with core competencies while making the most of characteristics of subject(mathematics). Second, it needs to refine the textbook authorization standards, and it should be utilized as an opportunity to improve the textbook. Third, in order to realize competencies-centered education in the school, there should be development of teaching and learning materials that can be used directly.

• 한국수학교육학회지시리즈E:수학교육논문집
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• 제20권4호
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• pp.561-574
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• 2006

Mathematical creativity has been confused with general creativity or mathematical problem solving ability in many studies. Also, it is considered as a special talent that only a few mathematicians and gifted students could possess. However, this paper revisited the mathematical creativity from a mathematics educator's point of view and attempted to redefine its definition. This paper proposes a model of creativity in school mathematics. It also proposes that the basis for mathematical creativity is in the understanding of basic mathematical concept and structure.