A study on instruction of Non-Euclidean Geometry for Mathematics Education
김도상 D . S .Kim
4(1) 1-15, 1966
DOI: JANT Vol.4(No.1) 1-15, 1966
In accordance with the tendency of Modern Mathematics laying emphasis on Mathematical structure, that is, on axioms, it is necessary for students to be interested in structure of Geometry on Mathematics Education. In fact, it is of importance not only to obtain new ideas but also to forget old ones in the development of Mathematics. Most students do not understand the Mathematical significance of axioms, and do not know what Mathematical truth is. Now Non-Euclidean Geometry offers opportunity to understand the essence of Mathematics better, and is no less effective than Euclidean Geometry in training student in logical inference. This thesis is a study with regard to what should be taught and how student should be guided at High school Mathematics. Chiefly Hyperbolic Geometry is discussed in connection with Abosolute Geometry. As Non-Euclidean Geometry has not appeared in our curriculum, some experiments are required before putting it into actual curriculum to find out how much students understand and how much pedagogically useful it can be. This is only a presentation of a tentative plan, which needs to be criticized by many teachers.
A Research for Teaching Systematic Probability Introduced by Sets
유병우 B . O . Yu
4(1) 16-28, 1966
DOI: JANT Vol.4(No.1) 16-28, 1966
According to the modernization of mathematics education, new abstract concepts such as the concept of sets are introduced in many fields of it. The purpose of this thesis is to adopt the concept of sets to "probability" which is included in the curriculum of high school mathematics education. The considerations of the preceding chapter III, and their obvious generalizations to more complicated experiments, justify the conclusion that probability theory consists of the study of sets. An event is a set, its opposite event is the complementary set; mutually exclusive events are disjoint sets, and an event consisting of the simultaneous occurrence of two other events is a sets obtained by intersecting two other sets it is clear how this glossary, translating physical terminology into set theoretic terminology, may be continued. Furthermore, the important theorems of probability; Additional theorem, multiplication theorem, their applications and so on, are proved by the technical operations of sets. Thinking of the mathematics education introduced by the concept of sets is very important in future.
4(1) 29-32, 1966
DOI: JANT Vol.4(No.1) 29-32, 1966
The Mathematical Education
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