• 한국학교수학회논문집
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• 제4권2호
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• pp.1-9
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• 2001

Since the computer is becoming more and more indispensible tool in every fields of the modern society, it is needed and desirable to utilize the computer as a basic tool from the very early stage of the education process. Recently Maple is gaining its popularity as a comprehensive mathematical software with its power of symbolic calculations and graphics as well as its great numerical computational ability. We demonstrate the suitability of this software as a tool for the mathematical education and presents several examples of the applications of Maple. For the middle and the high school mathematics courses, we give the application examples for the quadratic functions and their graphs, statistics, the three dimensional shapes, algebraic problems. Through the examples, we confirm that mathematical education can be much more effective and simple by using Maple. If we establish computer-assisted mathematical classes, we can draw more attention and excitement from the attendants than traditional classes and eventually improve more rapidly their problem-solving ability On the other hand, the excess of the computer-aided education give to obstacle of psychological, not to be passing over the fact.

• 대한수학교육학회지:학교수학
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• 제4권1호
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• pp.63-78
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• 2002

This research's purpose is to investigate follows. 1. How do middle school teachers recognize the mathematical communication globally? 2. If we classify the modes of mathematical communication as written, spoken, graphic and active ones, how much do teachers use them and how do the students' communication ability come as teachers judge? 3. What are teachers' thinking, the present condition and the future indication for the application of mathematical communication with computer? 4. Do teachers evaluate their students' communication ability? If then, what is the assessment rubric of student's communication ability? The results are analyzed by frequency analysis including percentile and free writings are arranged by similar responses. The result of this study is that global recognition for mathematical communication, current state for students' concrete performance of mathematical communication, and assessment of mathematical communication & proposals are very lacking.

• 한국학교수학회논문집
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• 제15권2호
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• pp.281-297
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• 2012

수학과 평가는 학생들의 수학적 사고력과 성취도를 측정하는데 있다. 또한 이를 분석 활용하여 수학교육의 질을 높이는데 그 목적이 있다. 이러한 평가는 좋은 문항제작에서부터 시작된다. 이에 본고는 문항제작 관련 이론을 고찰하고, 교육목표에 따른 예시 문항과 문항제작시의 유의점을 살펴보며, 계획 단계, 초안 문항제작 단계, 검토 단계, 최종 문항제작 단계 등 단계별 문항제작의 실제를 안내하고자 한다.

• 한국학교수학회논문집
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• 제10권4호
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• pp.455-469
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• 2007

본 연구는 대학에서 연구 개발된 교재와 결과물 중에서 실생활을 기반으로 한 내용으로 교육 과정을 편성하여 교육함으로써 수학적 문제 해결력을 증진시키는데 도움을 주고자 한다. 학생들의 창의적 문제 해결력 신장과 자기 주도적 학습 능력을 배양시키기 위하여 가장 중요한 교육 환경이 학부모라 생각하고 학부모에게 사전 교육을 통하여 학생 스스로 자기 주변의 생활에서 문제를 찾고 흥미를 유발시켜 개방적 탐구 활동이 가능하도록 하는데 주안점을 두고 연구한 실험 연구라 할 수 있다. 지식을 전달하는 방법에 있어서도 생활 속에 포함된 문제를 스스로 찾고 분석하여 해결하는 학부모의 경험을 바탕으로 수학에 대한 긍정적인 태도와 활용 능력을 극대화시키고자 한다. 본 연구 진행은 크게 두 부분으로 나누어서 실행하였는데 학부모 교육과 학생 교육을 통하여 사고력, 논리력, 추리력을 배양하여 창의적인 문제해결능력을 기르고 학습 의욕을 진작시켜 생활 친화적인 수학지식을 습득시키고 학습 효과를 극대화시키고자 한다.

• 한국학교수학회논문집
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• 제3권2호
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• pp.69-82
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• 2000

Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

• 한국수학교육학회지시리즈A:수학교육
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• 제30권1호
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• pp.1-19
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• 1991

This study intends to provide some desirable suggestions for the development of application oriented mathematics curriculum. More specific objects of this study is: 1. To identify the meaning of application and modelling in mathematics curriculm. 2. To illuminate the historical background of and trends in application and modelling in the mathematics curricula. 3. To consider the reasons for including application and modelling in the mathematics curriculum. 4. To find out some implication for developing application oriented mathematics curriculum. The meaning of application and modelling is clarified as follows: If an arbitrary area of extra-mathematical reality is submitted to any kind of treatment which invovles mathematical concepts, methods, results, topics, we shall speak of the process of applying mathemtaics to that area. For the result of the process we shall use the term an application of mathematics. Certain objects, relations between them, and structures belonging to the area under consideration are selected and translated into mathemtaical objects, relation and structures, which are said to represent the original ones. Now, the concept of mathematical model is defined as the collection of mathematical objcets, . relations, structures, and so on, irrespective of what area is being represented by the model and how. And the full process of constructing a mathematical model of a given area is called as modelling, or model-building. During the last few decades an enormous extension of the use of mathemtaics in other disciplines has occurred. Nowadays the concept of a mathematical model is often used and interest has turned to the dynamic interaction between the real world and mathematics, to the process translating a real situation into a mathematical model and vice versa. The continued growing importance of mathematics in everyday practice has not been reflected to the same extent in the teaching and learning of mathematics in school. In particular the world-wide 'New Maths Movement' of the 19608 actually caused a reduction of the importance of application and modelling in mathematics teaching. Eventually, in the 1970s, there was a reaction to the excessive formallism of 'New Maths', and a return in many countries to the importance of application and connections to the reality in mathematics teaching. However, the main emphasis was put on mathematical models. Applicaton and modelling should be part of the mathematics curriculum in order to: 1. Convince students, who lacks visible relevance to their present and future lives, that mathematical activities are worthwhile, and motivate their studies. 2. Assist the acqusition and understanding of mathematical ideas, concepts, methods, theories and provide illustrations and interpretations of them. 3. Prepare students for being able to practice application and modelling as private individuals or as citizens, at present or in the future. 4. Foster in students the ability to utilise mathematics in complex situations. Of these four reasons the first is rather defensive, serving to protect or strengthen the position of mathematics, whereas the last three imply a positive interest in application and modelling for their own sake or for their capacity to improve mathematics teaching. Suggestions, recomendations and implications for developing application oriented mathematics curriculum were made as follows: 1. Many applications and modelling case studies suitable for various levels should be investigated and published for the teacher. 2. Mathematics education both for general and vocational students should encompass application and modelling activities, of a constructive as well as analytical and critical nature. 3. Application and modelling activities should. be introduced in mathematics curriculum through the interdisciplinary integrated approach. 4. What are the central ideas of, and what are less-important topics of application-oriented curriculum should be studied and selected. 5. For any mathematics teacher, application and modelling should form part of pre- and in-service education.

• 한국학교수학회논문집
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• 제18권2호
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• pp.169-186
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• 2015

대입 제도가 변화하고 2017학년도 대학수학능력시험에 2009 개정에 따른 수학과 교육과정이 처음으로 적용됨에 따라 수학 영역은 시험의 성격을 재조명하고 출제와 관련된 세부 방안을 마련해야 한다. 특히 대학수학능력시험의 취지에 부합하면서 고등학교 교육과정의 정상적 운영에 기여하기 위해서는 학교 현장의 목소리를 반영할 필요가 있다. 이에 본 연구에서는 전국 고등학교 2,338개교 중 시 도교육청별 유층표집을 통하여 312개 학교를 추출하고 해당 학교의 교사를 대상으로 설문 조사를 실시하였다. 설문 조사 결과를 분석하여 2017학년도 대학수학능력시험 수학 영역에 대한 성격과 역할을 재조명하고 수학 영역의 선택 과목별 문항 배분을 비롯한 출제와 관련한 세부 사항을 탐색하였다.

• 대한수학교육학회지:학교수학
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• 제13권1호
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• pp.1-17
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• 2011

본 연구에서는 2009년과 2010년에 시행된 중국 대학입학 수학 시험을 분석하여 우리나라 대학입학시험인 대학수학능력시험 수리 영역에 대한 시사점을 도출하고자 하였다. 중국의 일반계 고등학교 수학교육과정을 기반으로 하는 중국의 대학입학 수학 시험은 수학 기초 지식과 대학 수학을 위한 수학적 소양을 다면적으로 평가하는 것을 목적으로 하여 이과 시험과 문과 시험으로 나뉘어 실시되며, 선택형, 단답형, 서술형 문항이 출제된다. 이 시험에서 평가하고자 하는 수학적 사고 능력은 사유능력, 연산능력, 공간상상 능력, 실천능력, 창의적 사고능력이다. 중국 대학입학 수학시험의 분석 결과, 대학수학능력시험을 개선하기 위한 방법으로서 하위 문항의 출제, 복수의 정답을 지닌 선택형 문항의 출제, 수리 '가'형과 '나'형에서 공통으로 출제되는 문항의 배열과 배점을 달리하는 것에 대한 시사점을 얻을 수 있었다.

• 한국항공운항학회지
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• 제18권1호
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• pp.83-88
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• 2010

The study is intended to help to select the pilot candidates with exceptional flight aptitude ability and to investigate the relationship between the results of the scholastic aptitude test and the flight aptitude. It is intended that the research will help to draw recommendations on the relevant fields of the scholastic aptitude test that is to be used to select the high caliber candidates with exceptional flight aptitude ability, to gauge the resulting effectiveness of its application and helping to revise the university's syllabus accordingly. From the study, korean, mathematics, english grade and the flight aptitude test results have all shown to hold mutual relationship and through simple correlation analysis, it was discovered that mathematics and English are the two factors that affect the results of the flight aptitude test, with the extent of its impact graded in descending order of English, mathematics and Korean. Lastly, the logistic regression analysis have discovered that the mathematics grade has significant effect on the classification of the flight aptitude and non aptitude category groups, and English also has significant influence close to the 0.05 p-values. It is believed that should the findings of this study be considered as part of the selection process of the university applicants of the department of aeronautical science, making discovery of candidates of higher quality is expected.

• 한국수학교육학회지시리즈C:초등수학교육
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• 제9권1호
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• pp.43-58
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• 2005

The objective of the present study was designed to examine that metacognition education had any promoting effects on the development of students' reasoning ability. Two classes in the 5th grade were asked to participated for the present study. Prior to the metacognition teaching, both the experimental and control group classes were given to the preliminary test in which students' basic ability for mathematical reasoning was graded. Then, the students in the experimental group were given 8hour teaching for the topics on the symmetric properties of geometric figures. The present findings indicate that educational application which motivates metacognition can improve mathematical reasoning ability in elementary students. It is widely accepted that metacognition is an active and conscious mental activity, helps the students perceive voluntarily the study items, and further plays an important role in constructing independent and active thinking processes. Accordingly, the present results implicate that the practical performance of metacognition education into the class indeed contributes to build up or strengthen students' voluntary ways of reasoning.