• Title/Summary/Keyword: mathematics courses

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Learning Program of Calculus Related Courses for Training of Mathematics Teacher of Secondary Schools (중등 교사 양성을 위한 미적분학 강좌 운영방안)

  • 강미광
    • The Mathematical Education
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    • v.42 no.4
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    • pp.523-540
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    • 2003
  • The main purpose of this work is to propose programs of calculus for the department of mathematics education of teacher training universities. There is a description of the characteristics, goal and contents of calculus course for pre-service teacher, followed by principles for teaching the subject. We suggest the constituents and something being kept in mind for each part in calculus.

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Global van Hiele (GVH) Questionnaire as a Tool for Mapping Knowledge and Understanding of Plane and Solid Geometry

  • Patkin, Dorit
    • Research in Mathematical Education
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    • v.18 no.2
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    • pp.103-128
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    • 2014
  • This paper presents the Global van Hiele (GVH) questionnaire as a tool for mapping knowledge and understanding of plane and solid geometry. The questionnaire facilitates identification of the respondents' mastery of the first three levels of thinking according to van Hiele theory with regard to key geometrical topics. Teacher-educators can apply this questionnaire for checking preliminary knowledge of mathematics teaching candidates or pre-service teachers. Moreover, it can be used when planning a course or granting exemption from studying in basic geometry courses. The questionnaire can also serve high school mathematics teachers who are interested in exposing their students to multiple-choice questions in geometry.

The Study for Problems of course evaluations in mathematics education (수학강좌의 강의평가에 대한 문제점 연구)

  • Moon, Kwon-Bae
    • Communications of Mathematical Education
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    • v.24 no.4
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    • pp.909-922
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    • 2010
  • This paper deals with disparities in course evaluation between general and major courses of mathematics education. We provide concrete evidences which verify the mismanagement of the evaluation system and can be an impetus to a more rational one. We indicate the direction to which professors of mathematics education should head. Also those statistics obtained from the author's teaching of mathematics education and related subjects for twelve years are provided for the fact-finding of and improving the erroneous evaluation system.

A Study on improvement of curriculum in Nursing (간호학 교과과정 개선을 위한 조사 연구)

  • 김애실
    • Journal of Korean Academy of Nursing
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    • v.4 no.2
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    • pp.1-16
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    • 1974
  • This Study involved the development of a survey form and the collection of data in an effort-to provide information which can be used in the improvement of nursing curricula. The data examined were the kinds courses currently being taught in the curricula of nursing education institutions throughout Korea, credits required for course completion, and year in-which courses are taken. For the purposes of this study, curricula were classified into college, nursing school and vocational school categories. Courses were directed into the 3 major categories of general education courses, supporting science courses and professional education course, and further subdirector as. follows: 1) General education (following the classification of Philip H. phoenix): a) Symbolics, b) Empirics, c) Aesthetics. 4) Synthetics, e) Ethics, f) Synoptic. 2) Supporting science: a) physical science, b) biological science, c) social science, d) behavioral science, e) Health science, f) Educations 3) Professional Education; a) basic courses, b) courses in each of the respective fields of nursing. Ⅰ. General Education aimed at developing the individual as a person and as a member of society is relatively strong in college curricula compared with the other two. a) Courses included in the category of symbolics included Korean language, English, German. Chines. Mathematics. Statics: Economics and Computer most college curricula included 20 credits. of courses in this sub-category, while nursing schools required 12 credits and vocational school 10 units. English ordinarily receives particularly heavy emphasis. b) Research methodology, Domestic affair and women & courtney was included under the category of empirics in the college curricula, nursing and vocational school do not offer this at all. c) Courses classified under aesthetics were physical education, drill, music, recreation and fine arts. Most college curricula had 4 credits in these areas, nursing school provided for 2 credits, and most vocational schools offered 10 units. d) Synoptic included leadership, interpersonal relationship, and communications, Most schools did not offer courses of this nature. e) The category of ethics included citizenship. 2 credits are provided in college curricula, while vocational schools require 4 units. Nursing schools do not offer these courses. f) Courses included under synoptic were Korean history, cultural history, philosophy, Logics, and religion. Most college curricular 5 credits in these areas, nursing schools 4 credits. and vocational schools 2 units. g) Only physical education was given every Year in college curricula and only English was given in nursing schools and vocational schools in every of the curriculum. Most of the other courses were given during the first year of the curriculum. Ⅱ. Supporting science courses are fundamental to the practice and application of nursing theory. a) Physical science course include physics, chemistry and natural science. most colleges and nursing schools provided for 2 credits of physical science courses in their curricula, while most vocational schools did not offer t me. b) Courses included under biological science were anatomy, physiologic, biology and biochemistry. Most college curricula provided for 15 credits of biological science, nursing schools for the most part provided for 11 credits, and most vocational schools provided for 8 units. c) Courses included under social science were sociology and anthropology. Most colleges provided for 1 credit in courses of this category, which most nursing schools provided for 2 creates Most vocational school did not provide courses of this type. d) Courses included under behavioral science were general and clinical psychology, developmental psychology. mental hygiene and guidance. Most schools did not provide for these courses. e) Courses included under health science included pharmacy and pharmacology, microbiology, pathology, nutrition and dietetics, parasitology, and Chinese medicine. Most college curricula provided for 11 credits, while most nursing schools provide for 12 credits, most part provided 20 units of medical courses. f) Courses included under education included educational psychology, principles of education, philosophy of education, history of education, social education, educational evaluation, educational curricula, class management, guidance techniques and school & community. Host college softer 3 credits in courses in this category, while nursing schools provide 8 credits and vocational schools provide for 6 units, 50% of the colleges prepare these students to qualify as regular teachers of the second level, while 91% of the nursing schools and 60% of the vocational schools prepare their of the vocational schools prepare their students to qualify as school nurse. g) The majority of colleges start supporting science courses in the first year and complete them by the second year. Nursing schools and vocational schools usually complete them in the first year. Ⅲ. Professional Education courses are designed to develop professional nursing knowledge, attitudes and skills in the students. a) Basic courses include social nursing, nursing ethics, history of nursing professional control, nursing administration, social medicine, social welfare, introductory nursing, advanced nursing, medical regulations, efficient nursing, nursing english and basic nursing, College curricula devoted 13 credits to these subjects, nursing schools 14 credits, and vocational schools 26 units indicating a severe difference in the scope of education provided. b) There was noticeable tendency for the colleges to take a unified approach to the branches of nursing. 60% of the schools had courses in public health nursing, 80% in pediatric nursing, 60% in obstetric nursing, 90% in psychiatric nursing and 80% in medical-surgical nursing. The greatest number of schools provided 48 crudites in all of these fields combined. in most of the nursing schools, 52 credits were provided for courses divided according to disease. in the vocational schools, unified courses are provided in public health nursing, child nursing, maternal nursing, psychiatric nursing and adult nursing. In addition, one unit is provided for one hour a week of practice. The total number of units provided in the greatest number of vocational schools is thus Ⅲ units double the number provided in nursing schools and colleges. c) In th leges, the second year is devoted mainly to basic nursing courses, while the third and fourth years are used for advanced nursing courses. In nursing schools and vocational schools, the first year deals primarily with basic nursing and the second and third years are used to cover advanced nursing courses. The study yielded the following conclusions. 1. Instructional goals should be established for each courses in line with the idea of nursing, and curriculum improvements should be made accordingly. 2. Course that fall under the synthetics category should be strengthened and ways should be sought to develop the ability to cooperate with those who work for human welfare and health. 3. The ability to solve problems on the basis of scientific principles and knowledge and understanding of man society should be fostered through a strengthening of courses dealing with physical sciences, social sciences and behavioral sciences and redistribution of courses emphasizing biological and health sciences. 4. There should be more balanced curricula with less emphasis on courses in the major There is a need to establish courses necessary for the individual nurse by doing away with courses centered around specific diseases and combining them in unified courses. In addition it is possible to develop skill in dealing with people by using the social setting in comprehensive training. The most efficient ratio of the study experience should be studied to provide more effective, interesting education Elective course should be initiated to insure a man flexible, responsive educational program. 5. The curriculum stipulated in the education law should be examined.

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Teaching and Learning Models for Mathematics using Mathematica (I)

  • Kim, Hyang-Sook
    • Research in Mathematical Education
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    • v.7 no.2
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    • pp.101-117
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    • 2003
  • In this paper, we give examples of models we have created for use in university mathematics courses. We explain the concept of linear transformation, investigate the roles of each component of 2 ${\times}$ 2 and 3 ${\times}$ 3 transformation matrices, consider the relation between sound and trigonometry, visualize the Riemann sum, the volume of surfaces of revolution and the area of unit circle. This paper illustrates how one can use Mathematica to visualize abstract mathematical concepts, thus enabling students to understand mathematics problems effectively in class. Development of these kinds of teaching and learning models can stimulate the students' curiosity about mathematics and increase their interest.

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A Study of Current Work in Curriculum Development for School Mathematics in Korea towards the 21st Century

  • Koo, Kwang-Jo
    • Research in Mathematical Education
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    • v.1 no.1
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    • pp.7-12
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    • 1997
  • The curriculum differentiation is supposed to maximize individual strength and possibilities of the students, and to maximize educational efficiency by differentiating the instructions according to students' abilities, aptitudes, needs and interests. The Ministry of Education has suggested a stepwise model for school mathematics. This model is named "Stepwise Curriculum Differentiation"(段階別 敎育課程 差別化). In this paper, we would like to make a specific proposal for the 7th curriculum. Our proposal reflects fully the guidelines of the Ministry of Education. It is also based on the national curriculum history up to the present time. It could be used as a reference for the continuing work of curriculum reformation. We suggest dividing the contents of mathematics for 1-10th graders into about 15 steps, to use the step-based textbooks instead of the grade-based ones, and to prepare evaluation standards for each step. We also suggest that the classes for grades 11-12 be organized according to their optional courses and/or their steps.

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Meaning and Realization of the Socratic Method - Application to Teaching-Learning of Complex Natural Exponential Function - (소크라테스 방법의 의의와 실천 - 복소지수함수의 교수.학습에의 적용 -)

  • Kim, Seong-A;Jeong, Moon-Ja
    • The Mathematical Education
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    • v.49 no.4
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    • pp.423-436
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    • 2010
  • In this paper we discuss the Socratic method from the aspects of subject education and examine the meaning of the method in mathematics education that is the most suitable subject for the realization of the Socratic method. In addition, as a realization of the Socratic method, we conducted a teaching-learning experiment of complex natural exponential function with a 2nd year college student. The results of the experiment are analyzed with the intention of improving instruction of the complex analysis that is one of the college mathematics courses.

A Study on the Historic-Genetic Principle of Mathematics Education(2) -History of Mathematics in the Teaching of Mathematics and Mathematics Teachers Education (역사 발생적 수학교육 원리에 대한 연구(2) -수학사의 교육적 이용과 수학교사 교육)

  • 우정호;민세영;정연준
    • School Mathematics
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    • v.5 no.4
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    • pp.555-572
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    • 2003
  • In this study we analyze critically the educational studies on the history of mathematics, and the results of the questionnaires to the mathematics teachers and mathematics teacher educators and interviews with them in order to highlight the problems which ought to be settled for more efficient using the history of mathematics in the mathematics classes. We ought to deepen the understanding of the meaning of mathematical concepts and its essential viewpoints through the historical development of mathematics, going beyond the interest and motivation of learning mathematics. In this respect there are insufficient sides in the results of the educational studies in the history of mathematics and in the recognition of the mathematics teachers about using history of mathematics. And the teachings of the history of mathematics in the mathematics teachers education courses are not sufficient in that they just survey the history of mathematics, and it is the very important task to develop the historic-genetic materials in the school mathematics and study the historic-genetic approach to the mathematics texts.

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A Study on the Development of Creativity in the Secondary Mathematics in Korea

  • Kim, Boo-Yoon;Lee, Ji-Sung
    • Research in Mathematical Education
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    • v.5 no.1
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    • pp.45-58
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    • 2001
  • This study sheds light on the importance of developing creativity in mathematics class by examining the theoretical base of creativity and its relationship to mathematics. The study also reviewed the realities of developing creativity in mathematics courses, and it observed and analyzed the processes in which students and teachers solve the mathematics problems. By doing so, the study examined creative abilities of both students and teachers and suggests what teachers can do to tap the potential of the student. The subjects of the study are two groups of students and one group of mathematics teachers. These groups were required to solve a particular problems. The grading was made based on the mathematical creativity factors. There were marked differences in the ways of the solutions between of the student groups and the teacher group. It was clear that the teachers\\` thinking was limited to routine approaches in solving the given problems. In particular, there was a serious gap in the area of originality. As can be seen from the problem analysis by groups, there was a meaningful difference between the creativity factors of students and those of teachers. This study presented research findings obtained from students who were guided to freely express their creativity under encouragement and concern of their teachers. Thus, teachers should make an effort to break from their routine thinking processes and fixed ideas. In addition, teaching methods and contents should emphasize on development of creativity. Such efforts will surely lead to an outcome that is beneficial to students.

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A Study on Mathematics Education in the UK Focusing on high school math education (영국의 수학교육에 대한 고찰: 고등학교 수학교육을 중심으로)

  • Kang, Hyun-Young
    • Journal of the Korean School Mathematics Society
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    • v.25 no.2
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    • pp.175-194
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    • 2022
  • This study intends to suggest implications by comparing the high school mathematics curricula between Korea and the UK ahead of the 2022 revision of the mathematics curriculum. The UK has revised assessments to emphasize mathematics after age 16 since 2017. Thus, in this study, the contents of Key Stage 4, Core Maths and A-level, which correspond to the UK high school mathematics curriculum, were examined and compared with Korean high school math subjects. In the UK, mathematics education is more emphasized at the high school level. The national curriculum emphasized 'numeracy and mathematics', and students' selection for mathematics courses were expanded. In order to prepare for the future society, new mathematics subjects and evaluations were developed and implemented, and the A-level mathematics was improved. In addition, the subject-centered content was developed and continuously handled from Key Stage 3 to the high school stage. It was structured to facilitate mathematics' internal and external connection by linking it with the subjects of other areas.