• Title/Summary/Keyword: Philosophy of Mathematics for School Teachers

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A Proposal on Contents and Teaching-Learning Programs of Algebra Related Courses in Teachers College (교사 양성 대학에서의 대수 영역의 학습과 지도)

  • 신현용
    • The Mathematical Education
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    • v.42 no.4
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    • pp.481-501
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    • 2003
  • The main purpose of this work is to propose programs of algebra courses for the department of mathematics education of teacher training universities. Set Theory, Linear Algebra, Number Theory, Abstract Algebra I, Abstract Algebra II, and Philosophy of Mathematics for School Teachers are discussed in this article.

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The Defining of a Reformed Professional development for Mathematics Teachers (현장 중심 수학 교사 교육의 철학적 배경에 관한 고찰)

  • Ko, Ho-Kyoung
    • Journal of the Korean School Mathematics Society
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    • v.8 no.4
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    • pp.495-508
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    • 2005
  • This study focused on what philosophy of education based on theory of Dewey has to be involved in teacher professional development program. In this view, an attempt was made to identify characteristics and ultimate goal of professional development program. Finally, this paper also discussed the design and the process of the professional development program based on the principles of reflective thinking and psychological observation by Dewey in order to connect theory with practice as a model which is for conducting professional development program for a group of mathematics teachers.

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A Review and Prospect of the Mathematics Education in Korea - In reference to the 7th curriculum in mathematics education- (수학교육의 회고와 제7차 교육 과정 및 교직수학 -제7차 교육 과정에 따른 수학교과서 검정심의와 관련하여-)

  • 박한식
    • The Mathematical Education
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    • v.40 no.1
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    • pp.125-137
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    • 2001
  • We review the mathematics education in Korea just after the 1595 Liberation and the first, second curriculum announced in 1955 and 1963, respectively. The 3rd curriculum announced in 1973 is influenced by “New Mathematics” in America. There were theoretical research about “New Mathematics”, but no experimental research about it in the school. So, there was not much effect of “New Mathematics” in mathematics education. After that we have the 4th, 5th and 6th curriculum which is improved by the result of experience in teaching. The 7th curriculum announced in 1997 emphasized practical mathematics. In this paper, we review the mathematics education and consider some problems in the 7th curriculum. We also consider some problems in mathematics textbook authorization under the 7th curriculum. To solve these problems, we suggest some facts. Especially, we need the philosophy about mathematics education and the enough knowledge about “Mathematics for Mathematics Teachers”.

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Socrates's dialogue and a history of mathematical dialogues in classrooms (소크라데스의 대화법과 수업에서의 수학적 대화의 역사)

  • Han, Gil-Jun
    • Journal for History of Mathematics
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    • v.21 no.1
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    • pp.157-166
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    • 2008
  • Mathematical communication is an important goal of recent educational reform. The NCTM's Principle and Standards for School Mathematics, consulting an emphasis on mathematical discourse from 1991 Professional Standards for Teaching Mathematics, has a Communication Standard at each grade level. This paper examines Socrates's educational philosophy and the mathematical dialogue in Plato's. Further it examines mathematical dialogues between teachers and students from antiquity through the nineteenth century.

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Relationship of mathematical knowledge for teaching and mathematical quality in instruction: Focus on high schools (수업을 위한 수학적 지식과 수업의 수학적 질 사이의 관계: 고등학교를 중심으로)

  • Kim, Yeon
    • The Mathematical Education
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    • v.59 no.3
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    • pp.237-254
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    • 2020
  • The current study investigated the relationships between mathematical knowledge for teaching and the mathematical quality in instruction in order to gain insight about teacher education for secondary teachers in South Korea. We collected and analyzed twelve high school teachers' scores of the multiple-choice assessment for mathematical knowledge for teaching developed by the Measures of Effective Teaching project. Their instruction was video recorded and analyzed with the mathematical quality in instruction developed by the Learning Mathematics for Teaching project. We also interviewed the teachers about how they planned and assessed their instruction by themselves in order to gain information about their intention and interpretation about instruction. There was a statistically significant and positive association between the levels of mathematical knowledge for teaching and the mathematical quality in instruction. Among three dimensions of the mathematical quality in instruction, mathematical richness seemed most relevant to mathematical knowledge for teaching because subject matter knowledge plays an important role in mathematical knowledge for teaching. Furthermore, working with students and mathematics as well as students participation were critical to decide the quality of instruction. Based on these findings, the current study discussed offering opportunities to learn mathematical knowledge for teaching and philosophy about how teachers need to consider students in high schools particularly in terms of constructivism.

A Study on the Realities and Recognition of Integrated Science Essay in High School (고등학교 통합과학논술교육의 실태 및 인식에 관한 연구)

  • Park, Jong-Un;Kang, Beo-Deul
    • Journal of Fisheries and Marine Sciences Education
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    • v.25 no.1
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    • pp.198-210
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    • 2013
  • The purpose of this study investigates high school students' recognition and realities on the integrated science essay and is to suggest desirable direction of integrated science essay of how eduction. To this end, this paper was a questionnaire developed for use, it consists of the status, the writing skills and recognition of integrated science essay. Firstly, all grade students recognize the interest in integrated science essay class, but the need for third grade boys urgently was feeling. Second, STEAM class as a whole than average preference was. Third, integrated science essay was the most relevant, then was mathematics, languages, philosophy ethics, and social. Fourth, integrated science essay class with boys than girls in grade 1, science essay writing, reading science-related essay books, grammar, knowledge of the science and philosophy of science lessons, classes STEAM, read commentary essay reference all on the item, the higher affinity. Currently being implemented in integrated science essay test compared to the first, team teaching approach in schools project under one class teaches students how many teachers should be made. Second, it would require modifications of course content tailored to the preferences of female preference for science higher grade female students to disappear.

Analysis of Elementary Textbooks and Guidebook for Teacher regarding the Classification of Angles and Triangles in the Constructivist Perspective (구성주의 관점에서 각과 삼각형의 분류에 관한 초등 교과서 및 교사용지도서 분석)

  • Roh, Eun Hwan;Kang, Jeong Gi
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.313-330
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    • 2015
  • The classification is an important activity that is directly related to concept formation. Thus it will need to be made meaningful learning to classification through learner-centered teaching. But we doubts weather teaching and learning to the classification are reflected in the constructivist philosophy of 'learner-centered' well or not. The purpose of this study was to analyze critically the content of elementary textbooks and guidebook for teachers relating to the classification of angles and triangles in terms of constructivism. As a result, there is a problem in the classification of angles that are not provided a reasonable chance to set criteria by agreement of the communities. There is a problem in the classification of triangles that has the characteristics of radical development in terms of diversity. In addition, response of students was predicted like anyone who already acquired knowledge. And it has the shortcomings that the opportunity to have a choice and a discussion to hierarchical and partition classification are not provided. The followings are proposed based on such features; faithful reflection of 'Learner-centered' principle, careful prediction of student response, teaching that focus on process than results.

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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