• Research in Mathematical Education
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• v.17 no.4
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• pp.279-290
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• 2013

Presently, there has been growing interests in using mathematics' history in teaching mathematics [Katz, V. & Tzanakis, C. (Eds.) (2011). Recent Developments on Introducing a Historical Dimension in Mathematics Education. Washington, DC: Mathematical Association of America]. Thus, this article introduces some work of scholars from ancient East Indian culture like Bhaskara (AD 1114-1185) and Arabic culture such as Ibn Qurrah (AD 9th c) that are related to Pythagoras Theorem. In addition, some Babylonian creative works related to Pythagorean triples found in a tablet known as 'Plimpton 322', and an application of the Pythagorean Theorem found in another tablet named 'Yale Tablet' are presented. Applications of computer animation of dissection Motion Operations concept in 2D and 3D using dynamic software like Geometer's-Sketchpad and Cabri-II-and-3D. Nowadays, creative minds are attracted by the recent stampede in the advances of technological applications in visual literacy; consequently, innovative environments that would help young students, gifted or not, acquiring meaningful conceptual understanding would immerge.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.8 no.1
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• pp.11-30
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• 2004

Access Control is one of essential branches to provide system's security. Depending on what standards we apply, in general, there are Role-based access control, History-based access control. The first is based on subject's role, The later is based on subject's history. In fact, RBAC has been implemented, we are using it by purchasing some orders through the internet. But, HBAC is so complex that there will occur some errors on the system. This is more and more when HBAC is used with other access controls. So HBAC's formalization and model which are general enough to encompass a range of policies in using more than one access control model within a given system are important. To simplify these, we design the mathematical model called non-access structure. This Non-access structure contains to historical access list. If it is given subjects and objects, we look into subject grouping and object relation, and then we design Non-access structure. Then we can determine the permission based on history without conflict.

• Journal for History of Mathematics
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• v.16 no.3
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• pp.109-114
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• 2003

In this paper, we deal with partially conformal geodesic transformations in Kahler geometry by using Fermi coordinates when tile submanifold is a geodesic sphere. We derive the necessary and sufficient condition for tile existence of such transformation in terms of the Jacobi operator and its derivative.

• Journal for History of Mathematics
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• v.13 no.1
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• pp.99-112
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• 2000

In this paper we discuss the teaching methods about statistical inferences. Bayesian methods have the attractive feature that statistical conclusions can be stated using the language of subjective probability. Simple methods of teaching Bayes' rule described, and these methods are illustrated for inference and prediction problems for one proportions. Also, we discuss the advantages and disadvantages of traditional and Bayesian approachs in teaching inference.

• Journal for History of Mathematics
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• v.13 no.2
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• pp.23-32
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• 2000

Using some units of length, weight and time, human beings have constructed their own cultures in many regions on earth. This paper aims to study the applied methods of Ching and Pil, i.e. the units of length and weight in the Chosun dynasty and to investigate their meanings.

• Journal for History of Mathematics
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• v.12 no.1
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• pp.73-81
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• 1999

We survey the researches on self-reproducing structures on cellular automata. Self-reproduction is the foremost characteristic of life, and cellular automata are ideal model for studying artificial life. From the early studies by Von Neumann to late results on computational models using self-reproducing structures and emergence of self-replication are covered. Also possible applications of self-replicating structures are listed.

• Journal for History of Mathematics
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• v.13 no.2
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• pp.121-132
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• 2000

In this paper, we demonstrate the Pythagorean Theorem by using the computer geometric software, Geometer's Skechpad(GSP) in stead of Eucliean logical proof. Also, we show that two applications of Pythagorean Theorem. The one is constructed by the fact that $ka^2+kb^2=kc^2$, where k is a constant, the other is made by the fractal.

• School Mathematics
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• v.13 no.3
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• pp.525-542
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• 2011

As teachers need to understand how to select and use technology in mathematics education, analysis on history, characteristics, and effects of various technology used in school mathematics will facilitate effective use of technology. This thesis aims to analyze through literary studies the history, characteristics, and effects of using spreadsheets Excel, dynamic geometry softwares GSP, Cabri and CAS, the most commonly used technology in teaching and learning mathematics in Korea. And we also study the current trends on using technology in mathematics education in Korea by investigating research trend, secondary mathematics curriculums past and present in Korea, mathematics textbooks, and classroom environments.

• Journal for History of Mathematics
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• v.20 no.4
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• pp.123-152
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• 2007

This study researched on Cooperative learning. The contents of this study as follows; Especially, first, this studies researched theoretical background for cooperative learning, factor for effects of cooperative learning, features and effects on a model of cooperative learning. second, this studies researched the need of cooperative learning on mathematics, several conditions to succeed cooperative learning on mathematics, the models mainly using cooperative learning on mathematics, and this model was investigated an effects of mathematics learning.

• Communications of Mathematical Education
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• v.33 no.4
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• pp.471-488
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• 2019

This paper aims to examine how mathematical history is used in $ textbooks according to the 2015-Revised Curriculum. We analyze the distribution and characteristics of making use of the mathematical history in the nine textbooks, using the framework suggested by Jankvist (2009) on the whys and hows of using historical tasks. First, the tasks related to mathematical history in the textbooks are mostly used as an affective tool, while few tasks are used as a cognitive tool. Second, most of the historical tasks of the type of an affective tool are introducing the anecdotes of mathematicians or in the history of mathematics, and only one case is trying to show human nature of mathematics by illuminating the difficulties mathematicians were faced with. Third, all the mathematical history tasks used as affective tools and goals are illumination materials, while only two out of the ten tasks in the category of a cognitive tool are illumination materials, yet eight others are modular ones. Considering the importance and value of using mathematical history in the math education, this paper recommends that more modular materials on mathematical history tasks in the category of cognitive tools and goals should be developed and their deployment in the textbooks or courses should be promoted. $