The administrative service in Chosun Dynasty relating to mathematics was carried out by the middle class(中人) mathematicians selected by the official selection examination(取才). They belong to HoJo(戶曹) department and their ranks are GyeSa(計士), ByulJe(別提), HunDo(訓導 = mathematics teacher), and GyoSu(敎授 = mathematics professor). We call them SanWon(算員). HunDo and GyoSu played very important role although their ranks are low, for they educate SanWon and manage the official selection examination. Using JuHakSeonSaengAn(籌學先生案, List of mathematics teachers) and JuHakIpGyukAn(籌學入格案, List of successful candidates in the official selection examination for mathematics), we investigate HunDo and GyoSu in Chosun Dynasty.

We investigate chinese mathematicians and their works including their books. We also compare the present transcription of chinese mathematicians and their mathematics books with that in published books on history of chinese mathematics.

This paper aims to introduce a construction method for the 'Wooden Die for Drinking Game' and to find some geometrical structures and mathematics educational viewpoints. As the results, we get two methods which are eventually same with Figure 5 and Figure 6-3. We proved the ground that classical probability of this Die's each side showing up is one out of fourteen and introduced few other empirical probabilities with Table 1 to Table 3. Also, some Chinese characters were corrected and re-interpreted. In fact, 象人打鼻 changed to 衆人打鼻, and 醜物 is interpreted as 'ugly animal' such as frog, toad, earthworm or pine caterpillar.

In this paper, we study the meaning and symbols of the number three and the structure of dividing into three parts in the religions, views of the world and the nature. Also we investigate the meaning of the number three, and the structure of dividing into three in the Samsung myth. According to legend, the 'Three Names' (Samsung-Yang, Ko and Pu) which are three demi-gods emerged from Samsung-hyeol(called Moheung-hyeol), and became the progenitors of the Jeju people who founded the Kingdom of Tamna.

The purpose of the study was to investigate the evolution of Korean modern mathematics in late 19th and early 20th century. This article reveals the efforts of incipient Korean mathematicians who had adopted modern mathematics from western countries and the difficulties and struggles they had to go through at that time. At the end of the article, we discussed our current status in international mathematical society.

We review Galois rings and permutation polynomials over Galois rings with emphasis on cryptological properties of Dickson polynomials and conclude that it is not plausible to obtain the Dickson scheme which has a Galois ring as a plaintext space.

The purpose of this paper is to investigate a classic mathematician and inventor Archimedes' work On the Sphere and Cylinder. The propositions of this book which deals with three dimensional geometry are reviewed. Through the review this study tries to find out how Archimedes mastered spherical figures and how classical mathematics ideas are related to the modern concept of integration. The results of this study seems to help people understand deeply modern mathematics and to be good resources to develop new mathematical ideas.

We investigate the mathematical background, statistical methodology, and the teaching of computer-software field using smoothing methodology in this paper. Also we investigate conception and methodology of histogram, kernel density estimator, adaptive kernel estimator, bandwidth selection based on mathematics and statistics.

The topic in this thesis stems from the current education situation that represses learners' freedom by excessive instruction and compulsory institution, in spite of the education helping learners free from inner prejudice as one of its chief aims. In this thesis, to discuss with an educational aspect, I call the learners' freedom in the learning process 'freedom-in-process' and the learners' freedom as the result of learning 'freedom-as-result'. Through this discussion, the conclusions are as follows; First, learners who enjoy freedom-in-process get to obtain freedom-as-result in mathematics education. Second, freedom-in-process and freedom-as-result appear repeatedly in the process of looking for and gaining structures. Freedom-in-process and freedom-as-result are both faces of coin, like seed and fruit which are related mutually and fertilized each other. For this purpose, Mathematics teacher must have awareness of the value of freedom, cherish the freedom, and enjoy it with his students.

The purposes of this study are that understand vocational high school student's scholastic ability, dream and conception about mathematics exactly and that we find a educational mathematics program suitable to vocational high school student. Through this improvement of the curriculum in vocational high school, we will find the way that increase efficiency.