• Title/Summary/Keyword: Practical mathematics

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Method of Study Modules in Higher Mathematics Studies

  • Zeidmane, Anda;Vintere, Anna
    • Research in Mathematical Education
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    • v.13 no.3
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    • pp.251-266
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    • 2009
  • Being aware of the present situation in Latvia and in whole Europe, Mathematics curriculum development is a topical issue. One of the ways how to deal with it is the application of study modules in the study process. The division of Mathematics studies in the Forms and Content Modules allows students to understand better the organization of study process of mathematics, and creates conceptual awareness of Mathematics logics and its practical application helping students to understand causal relationships and to develop cognitive skills. In the article will be present same theoretical aspects and practical experience in Latvia University of Agriculture.

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A study on the practical use of CAI (컴퓨터 보조수업의 활용실태에 대한 분석)

  • Choi Taeg Young;Park Yong Kil;Cho Won-Jong
    • Journal of the Korean School Mathematics Society
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    • v.8 no.2
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    • pp.117-143
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    • 2005
  • This study is aimed at checking on the extent of practical use of CAI in mathematical classes in secondary schools, thus seeking a way of activating the practical use of CAI, with computer networks being widely used for education. This research was conducted among some 120 mathematics teachers and 350 students in middle and high schools in the City of Kunsan, with questionnaires designed to survey the extent and effectiveness of the use of CAI, the teachers and students' awareness of CAI. In consequence, this research shows the following: The use of CAI was of considerable help in conducting mathematics classes, along with CAI used in a more effective way, but education materials concerning CAI were poorly managed and not a few teachers was negative toward the use of CAI in mathematics classes. In short, the practical use of CAI was unsatisfactory, probably due to the lack of application ability on the part of teachers caused by the perfunctory teachers' training. In conclusion, the practical use of CAI in classes can be activated as follows: CAI apparatuses and other teaching aids should be systematically managed by experts; high-quality CAI programs need to be developed to help teachers conduct effective classes; teachers should be positively encouraged to make practical use of CAI through teachers' training and a plan of obligating teachers to use CAI for one or two fixed class hours in a week may be strongly recommended.

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School Mathematics and Mathematics Education Focusing on the Change in the Enlightenment Period (개화기를 중심으로 살펴본 학교수학과 수학교육)

  • Cha Joo-Yeon
    • Communications of Mathematical Education
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    • v.20 no.2 s.26
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    • pp.207-214
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    • 2006
  • Mathematics can be divided into practical mathematics and logical mathematics. The 'Enlightenment Period' is the period in which our mathematics shifted from practical mathematics to logical mathematics. Considering the change of our school mathematics and mathematics education in the enlightenment period, we reach the following conclusions. First, the contents and forms of mathematics books followed to Western style, but the attitudes adhered to on. Second, making much of results than process, we are afraid of proof. Third, we necessitate the mathematics culture of enjoying itself.

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Herbart의 교육학이 주는 수학교육학적 함의에 관한 연구

  • Yu, Chung-Hyun
    • East Asian mathematical journal
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    • v.27 no.2
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    • pp.223-242
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    • 2011
  • The fact that Herbart's education has realized in the educational context the Kant's theory of transcendental education by applying Kant's transcendentalism to education is of great significance for education. It also provides an implication for mathematics education that Herbart's education of mathematics education can be applied to mathematics education through an attempt to combine a practical ethics education and an aesthetic emotion education with mathematics education. Both Kant and Herbart clearly show that an only practical, aesthetic education would not exist as a solely theoretical mathematics education cannot. Therefore, these multi-dimensional aspects of mathematics education should be always considered as a whole although there could be a difference in importance among those aspects. It implies that, regardless of the environments for mathematics education, mathematics teachers and students must do mathematics education activities that take into consideration the humanity in its entirety. The theory of mathematics education based on Herbart's education reveals that the entireness of human being should not be neglected in any case. In this regard, Herbart's theory of education shows that mathematics education is an all-inclusive theory of mathematics education that embraces both phenomenon and transcendence.

A Study on Probability and Statistics Education in Practical Mathematics and Mathematics I Textbooks According to the 7th National Mathematics Curriculum in Korea (제 7차 수학과 교육과정에 따른 실용수학과 수학 I 확률 및 통계단원 분석)

  • Jang Dae-Heung;Lee Hyo-Jeong
    • The Korean Journal of Applied Statistics
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    • v.18 no.2
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    • pp.453-469
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    • 2005
  • In Korea, mathematics education of 11-12 grade students has been taken according to the 7th national mathematics curriculum, which was renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and statistics has been carried out as a part of this curriculum. We analyze mathematics textbooks-Practical mathematics and Mathematics I- and compare the 7th national mathematics curriculum with the 6th national mathematics curriculum.

THE COMPUTATION OF MULTIVARIATE B-SPLINES WITH APPLICATION TO SURFACE APPROXIMATIONS

  • KIM, HOI SUB
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.3 no.1
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    • pp.81-98
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    • 1999
  • In spite of the well developed theory and the practical use of the univariate B-spline, the theory of multivariate B-spline is very new and waits its practical use. We compare in this article the multivariate B-spline approximation with the polynomial approximation for the surface fitting. The graphical and numerical comparisons show that the multivariate B-spline approximation gives much better fitting than the polynomial one, especially for the surfaces which vary very rapidly.

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SEVERAL NEW PRACTICAL CRITERIA FOR NONSINGULAR H-MATRICES

  • Mo, Hongmin
    • Journal of applied mathematics & informatics
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    • v.28 no.3_4
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    • pp.987-992
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    • 2010
  • H-matrix is a special class of matrices with wide applications in engineering and scientific computation, how to judge if a given matrix is an H-matrix is very important, especially for large scale matrices. In this paper, we obtain several new practical criteria for judging nonsingular H-matrices by using the partitioning technique and Schur complement of matrices. Their effectiveness is illustrated by numerical examples.

Contents on Exercises in Mathematical Texts in Joseon (산서에 나타난 연습문제들의 내용)

  • KHANG, Mee Kyung
    • Journal for History of Mathematics
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    • v.35 no.4
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    • pp.117-128
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    • 2022
  • In learning mathematics, if you know how much mathematics is related to real life, you can understand mathematics much more easily. So, in many cases, practical instances are used in exercises. This is the way that has been used in mathematical texts since ancient times. From this perspective, these practical problems enable to reflect the very contemporary lives of those who learn mathematics. In this paper, types of contents of the exercises in mathematical texts of Joseon Dynasty are investigated, so that it may be possible to imagine the life in Joseon dynasty.

수학창조의 주체전환에 대한 고찰

  • 한재영
    • Journal for History of Mathematics
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    • v.13 no.1
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    • pp.89-98
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    • 2000
  • This paper analyzes the philosophy of mathematics as the ancient Egypt. This article provides an overview of computer programing capacities by Mathematica. To give an idea of mathematical graphic's capacities, practical example will be computed.

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A STUDY ON THE TELEOLOGY OF MATHEMATICS EDUCATION IN THE LIGHT OF KANT'S EPISTEMOLOGY

  • CHUNGHYUN YU
    • Journal of Applied and Pure Mathematics
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    • v.5 no.1_2
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    • pp.109-119
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    • 2023
  • As for the practical purpose of mathematics education, the extrinsic purpose is emphasized. As an alternative to this, a discussion on mathematics education as a character education is urgently requested. It can be said that the main purpose of learning mathematics is to have a form of life that values the form and structure of mathematics. The epistemological basis of such an idea can be seen as based on Kant's philosophy. Kant's epistemology can provide one answer to the question of the intrinsic purpose of mathematics education.