• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.429-442
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• 2014

In this study we reviewed the backgrounds, main claims, and teaching and learning of STEAM education, and analysed STEAM education on the viewpoint of didactics of mathematics. The core competences of STEAM are creativity, communication, convergence, and caring. We found that the theoretical background of caring among these competences is relatively very weak, and the main principles for teaching and learing are mainly included the theories of didactics of mathematics and of creativity. We need to approach very carefully and progressively to creativity education through STEAM, and also need to study on the background of the mathematical creativity.

• Journal for History of Mathematics
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• v.14 no.1
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• pp.83-100
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• 2001

The paper analyzes the philosophy of mathematics and outlook on the mathematics education as the philosophy of mathematics in the history of mathematics. We have found that various views of the human society have led us to the various philosophy of mathematics. This change of philosophy have important implications to the didactics of mathematics. This study tries to find out the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.16 no.3
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• pp.57-68
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• 2003

Infinity is very important concept in mathematics. In history of mathematics, potential infinity concept conflicts with actual infinity concept for a long time. It is reason that actual infinity concept causes difficulty in our perceptions. This phenomenon is called epistemological obstacle by Brousseau. So, in this paper, we examine the infinity in terms of mathematical didactics. First, we examine the history of development of infinity and reveal the similarity between the history of debate about infinity and episternological obstacle of students. Next, we investigate obstacle of students about infinity and the contents of curriculum which treat the infinity Finally, we suggest the methods for overcoming obstacle in learning of infinity concept.

• The Mathematical Education
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• v.50 no.2
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• pp.135-148
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• 2011

We can say that the history of mathematics is the history on the development of the number system. The number starts from Natural number and is constructed to Integer number and Rational number. The Rational number is not the complete number analytically so that Real number is completed by the idea of the nested interval method. Real number is completed analytically, however, is not by algebra, so the algebraically completed type of the rational number, through the way that similar to the process of completing real number, is Complex number. The purpose of this study is to show the most appropriate way for the development of the human being thinking about the teaching and leaning of Complex number. To do this, We have to consider the proof of the existence of Complex number, the background of the introduction of Complex number and the background knowledge that the teachers to teach Complex number should have. Also, this study analyzes the knowledge to be taught of Complex number based on the anthropological theory of didactics and finally presents the teaching method of Complex number based on this theory.

• Journal for History of Mathematics
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• v.17 no.2
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• pp.33-52
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• 2004

The paper is analyzed the mathematics curriculum of Korea and the philosophy of the mathematics education in the history of mathematics education. We have found that the various philosophy of Western mathematics education have led us to various views of the mathematics curriculum of Korea. This change of the mathematics curriculum in Korea have important implications to the didactics of mathematics. This study tried to find out the direction of outlook on the mathematics education in the future.

• Journal for History of Mathematics
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• v.17 no.3
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• pp.73-92
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• 2004

The paper surveys various attempts to use the concept of 'fundamental ideas' -Bruner's concept- as a tool for organizing mathematics teaching and research in mathematics education. One of the characteristics of fundamental ideas in mathematics is their correspondence to the history of mathematics; therefore in forming out contents and methods in mathematics education, the history of mathematics may be serve as an interesting aspect. It is demonstrated by the example of mean values.

• School Mathematics
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• v.2 no.2
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• pp.403-426
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• 2000

In this study, we tried to suggest a meaningful teaching method that is a mathematical thinking-oriented. After referring to the recent trend of mathematics education, we examined the direction that school mathematics should go. Next, we considered previous studies that deals with teaching methods focusing on the mathematical thinking. On the basis of the above examination, we accomplished case studies that aims at mathematical thinking-oriented teaching. And we explained that these case studies reflects the key points didactics of mathematics such as the education of ‘open mathematics’, constructivism etc. Finally, we proposed the necessity of mathematical thinking-oriented teaching in the current state of school mathematics.

• Research in Mathematical Education
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• v.14 no.2
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• pp.115-122
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• 2010

The education of teachers in mathematics consists of two parts: enhancing the math-skills of the students and education in didactics. Mainly the math is taught in lessons for 50 to 100 students or even more. This has wrong influence to the teaching style and the attitude towards mathematics. This paper reports about a project, where active schoolteachers are involved in teaching the mathematics content. This is done in workshops, where the teaching can be a model for teaching a class. In addition there is the chance to inspire the students for mathematics.

• School Mathematics
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• v.1 no.2
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• pp.571-588
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• 1999

Our mathematical curriculum has been revised frequently compared to another countries. The frequent revisions may mean that the current curriculum is not so complete in the selected contents of each grade levels. The idea is partially supported by the fact that the didactics of mathematics has both hypothesis-deductive and hypothesis-constructive property. Investigating the items which are used in TIMSS study and based on the relatively common curriculums of 40 more countries, the styles of them are a bit different from those of our textbooks of primary and secondary school. Hence, we consider that the construction and implementation of our mathematical curriculum may be a large scale of experiment for the improved curriculum carried by the nation. Additionally, we propose less compulsive curriculum than the current for minimizing the possible trial and errors.

• Nonlinear Functional Analysis and Applications
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• v.29 no.3
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• pp.711-738
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• 2024

This study develops an optimal control strategy for canine rabies transmission using a two-dimensional spatiotemporal model with spatial dynamics. Our objective is to minimize the number of infected and exposed individuals while reducing vaccination costs. We rigorously establish the existence of optimal control and provide a detailed characterization. Numerical simulations show that early intervention, in particular timely vaccination at the onset of an outbreak, effectively controls the disease. Our model highlights the importance of spatial factors in rabies spread and underlines the need for proactive vaccination campaigns, providing valuable insights for public health policy and intervention strategies.