The first part of this thesis discusses the Pearson's Curve Family which gives $\beta$distribution, $\Gamma$-distribution, $X^2$-distribution and t-distribution. The second part of this thesis gives some brief process of calculations for normal distribution density and t-distribution density by the 7-th type Curve of Pearson's Curve Family. Finally, a conclusion arrives that Student(Gosset) could not find out his famous 'Student's t-distribution' without his attending of 'Pearson's Differential Equation' class taught by Pearson himself when he was a senior student. However, if he had got a professorship at the Pearson Statistics Laboratory, the University of London, then he could not have found 'Student's t-distribution' for small sampling technique of modern statistics.

Lee, Sang-Hyuk(1810-\ulcorner) explained practice problems at that time which can be represented as a linear equation in the chapter of 'Sun-Lyu' of his book Cha-Geun-Bang-Mong-Gu. The explanation of each question describes the procedure to make the equation in detail. And the practice problems variety.

Reasonable Mathematics New Issues are more elaborate in dealing with the mathematical problems and the methods of the mathematical thinking than the ways of mathematical meditative concentration of one's attentive calculation. They were written about one generation later as comparing the latter of the above. They also introduced the Archimedes' principle.

In this paper we collect the mathematical problems from the past which can be used in classroom instruction. These problems can show the cultural value and the utility of mathematics, and encourage learning and illuminate the concept being taught.

In this paper we analyzed the histo-genetic principle and constructivism on the mathematics education. This study is tried to suggest teacher's a role in mathematics learning and to find out the teacher's mathematical beliefs on the mathematics education be based on the histo-genetic principle and constructivism.

In this paper we survey the main properties of a Fibonacci sequence, and find out examples of Fibonacci sequence in our nature and daily life.

In this paper we study the process of changes on the arithmetic education curriculum of elementary school in Japan. The arithmetic education curriculum have been developed through experience-centered curriculum, discipline-centered curriculum into humanistic curriculum, and its pedagogical background is based on the theory of J. Dewey, J. Bruner and J. Piaget, respectively.

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.

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.

In this paper, I will investigate the cultural factors that determine the direction of development of early mathematics. And I will survey the philosophical background of Greek logical mathematics. Then, I will survey the distinctive features of Korean.Chinese ancient mathematics which hindered the development of mathematics.

The notion of MV-algebra was introduced by C.C. Chang in 1958 to provide an algebraic proof of the completeness of Lukasiewicz axioms for infinite valued logic. These algebras appear in the literature under different names: Bricks, Wajsberg algebra, CN-algebra, bounded commutative BCK-algebras, etc. The purpose of this paper is to give a topological lattice completion of semisimple MV-algebras. To this end, we characterize the complete atomic center MV-algebras and semisimple algebras as subalgebras of a cube. Then we define the $\delta$-completion of semisimple MV-algebra and construct the $\delta$-completion. We also study some important properties and extension properties of $\delta$-completion.

This paper discusses Godel's Disjunctive Conclusion in terms of cognitive science and his Incompleteness Theorems from a metamathematical perspective.