• Title/Summary/Keyword: mathematics application ability

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Understanding of the trigonometric function using Maple (Maple을 이용한 삼각함수의 이해)

  • 한동승;유흥상
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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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.

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Investigation of Present State for Teaching Mathematical Communication (수학적 의사소통의 지도에 관한 실태 조사)

  • Lee, Jong-Hee;Kim, Sun-Hee
    • School Mathematics
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    • v.4 no.1
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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.

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A Study on the Practice of Making up Questions on Schools Mathematics Tests (수학과 평가 문항제작의 실제)

  • Jeon, Young-Ju
    • Journal of the Korean School Mathematics Society
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    • v.15 no.2
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    • pp.281-297
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    • 2012
  • Mathematics evaluation is aimed at measuring students' mathematical ability to think and achievement. Moreover, the quality of mathematics education at school is elevated by the test questions analysis and application process. And the starting point of evaluation is to make good test questions. This study is composed of four parts. First, theoretical background associated with making test questions is surveyed. Second, example questions according to the education goals and question-making cautions are presented. Third, four practical stages of making test questions which consist of designing, making the first draft of questions, verifying and making the final draft of questions, are illustrated.

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On the Attractive Teaching Methods of Mathematics with Parents of Students (학부모와 함께 하는 흥미로운 수학지도 방안)

  • Park, Hyung-Bin;Lee, Heon-Soo
    • Journal of the Korean School Mathematics Society
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    • v.10 no.4
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    • pp.455-469
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    • 2007
  • In this study, we want to being helpful to improvement of ability to solve mathematical problem, that is grafted on the subjects being able to occur in real life, of students in teaching materials and results studied and developed in the university. For increasing ability to solve ingenious problem and growing in the learning ability of oneself leading of students. The goal of this study is to make possible open research as a result of that students look for problem around real life by one's own efforts and take interest in them through learning mathematics of parents of students, they are the most important fact of educational environment in the mathematics education - earlier than students. In particular, the goal of this study is that students have an positive attitude of mind for mathematics and maximize ability of practical application by the analytic thinking learned through experience of their parents, they survey, analyze and solve problems taken from real life in the method transmitting one's knowledge to others. This study is divided into 2 categories: education of students and education of their parents. By these, we want to disseminate advanced knowledge and theory through students improve the powers of thought, logic and inference, develop ability to solve mathematical problem, stir up motivation of learning and learn knowledge of mathematics become familiar with real life.

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The Effect to Improvement of Self-Educability through the Development and Application of a Level-Learning Materials Reconstructed Text Book - Simultaneous Equations of the Second Year of Middle School - (교과서를 재구성한 수준별 학습지의 개발과 적용을 통한. 자기학습력 신장에 미치는 영향)

  • 박기석;송원수
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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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.

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용용과 모델 구성을 중시하는 수학과 교육 과정 개발 방안 탐색

  • Jeong Eun Sil
    • The Mathematical Education
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    • v.30 no.1
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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.

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High School Teachers' Opinions on Mathematics Section in 2017 College Scholastic Ability Test Applied 2009 Revised Mathematics Curriculum (개정 교육과정이 적용되는 2017학년도 수능 수학 영역에 대한 의견 조사)

  • Cho, Seong Min;Kim, Jae Hong;Yang, Seong Hyun
    • Journal of the Korean School Mathematics Society
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    • v.18 no.2
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    • pp.169-186
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    • 2015
  • According to changes of college admission policies and the first application for 2009 revised mathematics curriculum, we should redefine characterization of mathematics section in 2017 College Scholastic Ability Test(CSAT) and prepare a plan on details of making questions related to it. Specially, we need to reflect the voices of the school site in order to determine the method of making CSAT questions which is consistent with the intent of it and contributes to the normal operation of high school curriculum. In this study, we polled out 312 schools among 2,338 high schools nationwide and math teachers of the schools were been chosen were surveyed. The sampling method used a proportionate stratified sampling by the department of education. Analyzing the results of the survey, We redefined characterizations and roles of mathematics section in 2017 CSAT and suggested the details including questions distribution according to optional object of 2017 CSAT mathematics section.

A Study on the Chinese National University Entrance Examination in Mathematics (중국의 대학입학 수학 시험 분석 연구)

  • Nam, Jin-Young;Joung, Youn-Joon
    • School Mathematics
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    • v.13 no.1
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    • pp.1-17
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    • 2011
  • This study investigated the Chinese national university entrance examination (Gaokao) in mathematics administered in 2009 and 2010 to draw out some implications on the College Scholastic Ability Test (CSAT) in mathematics of Korea. To evaluate the attainments of basic mathematical skills and multilateral abilities required for further studies in university, the Gaokao mathematics is set in two forms(Art/Science), based on the Chinese national mathematics curriculum. The types of items in the Gaokao mathematics are multiple-choice, single-answer, and write-out-answer. The mathematical abilities that the Gaokao mathematics evaluates are mathematical reasoning, operation, geometrical imagination, application, and creativity. As a result, some implications on the Korean CSAT are drawn out in terms of the level of difficulty, the types of items, the arrangements, and the scores of items.

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A Study on the effect of the Scholastic Aptitude Test on flight aptitude (비행적성에 영향을 미치는 대학수학능력시험에 관한 연구)

  • Noh, Yo-Sup
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.18 no.1
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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.

Effects of metacognitive instructions on mathematical reasoning ability in the elementary school students (아동의 메타인지를 유발하는 발문이 수학적 추론능력에 미치는 영향)

  • Bae Hye-Jung;Nam Seung In
    • Education of Primary School Mathematics
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    • v.9 no.1 s.17
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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.

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