• Journal for History of Mathematics
• /
• v.11 no.1
• /
• pp.42-46
• /
• 1998

Using Fermi coordinates and the principle curvature on the tubula hypersurfaces, we characterize space of constant sectional curvature by analysing the shape operator on the tubular hypersurfaces.

• Journal for History of Mathematics
• /
• v.14 no.1
• /
• pp.109-114
• /
• 2001

Using Fermi coordinate and Jacobi operator on Kahler manifold, we characterize partially conformal geodesic transformation in Kahler geometry.

• Journal for History of Mathematics
• /
• v.32 no.4
• /
• pp.195-213
• /
• 2019

This study sampled 6,535 grade 11 or 12 students in South Korea using a stratified random sampling method in order to identify the differences in the perception of students on what a good mathematics class is by school class and region. The results showed that four elements of a good mathematics class were significantly different among school classes and regions.

• Korean Journal of Mathematics
• /
• v.24 no.3
• /
• pp.375-395
• /
• 2016

In this paper, we study the long-time dynamical behavior for the extensible suspension bridge equations with past history. We prove the existence of the global attractors by using the contraction function method. Furthermore, the regularity of global attractor is achieved.

• Journal for History of Mathematics
• /
• v.32 no.6
• /
• pp.301-313
• /
• 2019

This paper briefly examines the Book of Changes that is the philosophical background of East Asian ancient mathematics and its collection of complementary(ShíYì), and then examines the structure and contents of GyeSaJeon, which explains the basic principles of Book of Changes as one of ShíYì. GyesaJeon reveals the unique East Asian thought of dealing with numbers in the process of explaining the formation of Eight-Gwae(Bagua) and Sixty-four-Gwae based on Yin-Yang theory. It understands numbers in terms of symbols, not quantitative, and use them to represent characteristics or hierarchy of certain classes, and to explain certain principles. Based on this, the implications of using East Asian mathematics history in the mathematics classroom are discussed.

• Journal for History of Mathematics
• /
• v.19 no.4
• /
• pp.31-62
• /
• 2006

In this article, the theoretical basis of applying mathematical his tory in lessons is inquired in various educational aspects. It also covers the psychological genetic principle, mainly concerning the childish development and states that it has to be compatible with the historico-genetic principle, which is suggested mainly concerning the development of data. In addition, it evolves the arguments about the meaning of mathematical history in math lessons based on the mentioned aspects besides that in ordinary math lessons. Next, the link between the apply of mathematical history and education for gifted children is examined. Last, cases of mathematic history applied to mathematic education is suggested mainly concerning the understanding of differential concepts.

• Education of Primary School Mathematics
• /
• v.10 no.1 s.19
• /
• pp.57-70
• /
• 2007

This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

• Journal for History of Mathematics
• /
• v.19 no.2
• /
• pp.89-100
• /
• 2006

There are currently various types of alternative schools which has diverse goals and traits in Korea. Education suited to educational principles can't be carried out, as long as mathematics education in alternative schools is same as one in the regular schools. In this thesis the problems of mathematics education which is conducted in alternative schools for maladjusted students will be examined in three aspects of teaching contents, teaching methods, and teaching environments. And we will study about mathematics education that use mathematical history as one way of mathematics education for the alternative school students.

• Journal for History of Mathematics
• /
• v.26 no.4
• /
• pp.245-257
• /
• 2013

Hermann Grassmann classified mathematics and extended the dimension of vector spaces by using dialectics of contrasts. In this paper, we investigate his mathematical idea and its background, and the process of the classification of mathematics. He made a synthetic concept of mathematics based on his idea of 'equal' and 'inequal', 'discrete' and 'indiscrete' mathematics. Also, he showed a creation of new mathematics and a process of generalization using a dialectic of contrast of 'special' and 'general', 'real' and 'formal'. In addition, we examine his unique development in using 'real' and 'formal' in a process of generalization of basis and dimension of a vector space. This research on Grassmann will give meaningful suggestion to an effective teaching and learning of linear algebra.

• Journal for History of Mathematics
• /
• v.22 no.4
• /
• pp.53-66
• /
• 2009

The east-asian mathematics is highly evaluated in mathematics education. In this paper, we search the geometric problems of east-asian mathematics in high school textbooks and various examinations and investigate how to use such problems. We also confirm that the geometric problems of east-asian mathematics can be widely used as real life materials for introducing new mathematical topics, real life applications for mathematical topics, and valuable source for mathematical discourse.