• Journal of the Korean School Mathematics Society
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• v.25 no.4
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• pp.307-332
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• 2022

This action research was carried out to help students learn fractions computation by making and using semi-concrete fraction manipulatives that can be used continuously in math classes. For this purpose, the researcher and students made semi-concrete fraction manipulatives and learned how to use these through reviewing the previously learned fraction contents over 4 class sessions. Afterward, through the 14 classes (7 classes for learning to reduce fractions and to a common denominator, 7 classes for adding and subtracting fractions with different denominators) in which the principle inquiry learning model was applied, students actively engaged in learning activities with fraction manipulatives and explored the principles underneath the manipulations of fraction manipulatives. Students could represent various fractions using fraction manipulatives and solve fraction computation problems using them. The achievement evaluation after class found that the students could connect the semi-concrete fraction manipulatives with fraction representation and symbolic formulas. Moreover, the students showed interest and confidence in mathematics through the classes using fraction manipulatives.

• Korean Journal of Logic
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• v.8 no.1
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• pp.23-46
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• 2005

The purpose of the paper Is to discuss and estimate early Popper's theory of probability, which is presented in his book, The Logic of of Scientific Discovery. For this, Von Mises' frequency theory shall be discussed in detail, which is regarded as the most systematic and sophisticated frequency theory among others. Von Mises developed his theory to response to various critical questions such as how finite and empirical collectives can be represented in terms of infinite and mathematical collectives, and how the axiom of randomness can be mathematically formulated. But his theory still has another difficulty, which is concerned with the inconsistency between the axiom of convergence and the axiom of randomness. Defending the objective theory of probability, Popper tries to present his own frequency theory, solving the difficulty. He suggests that the axiom of convergence be given up and that the axiom of randomness be modified to solve Von Mises' problem. That is, Popper introduces the notion of ordinal selection and neighborhood selection to modify the axiom of randomness. He then shows that Bernoulli's theorem is derived from the modified axiom. Consequently, it can be said that Popper solves the problem of inconsistency which is regarded as crucial to Von Mises' theory. However, Popper's suggestion has not drawn much attention. I think it is because his theory seems anti-intuitive in the sense that it gives up the axiom of convergence which is the basis of the frequency theory So for more persuasive frequency theory, it is necessary to formulate the axiom of randomness to be consistent with the axiom of convergence.

• Journal of Korean Philosophical Society
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• v.141
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• pp.1-42
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• 2017

This paper's purpose is to seek to grasp how Descartes demonstrates proofs of God's existence on the basis of his works especially Meditations. To consider these points, I shall explore first, second, third proofs that are present in his works, and contents related to God. Descartes argues that there is idea of God within me, but it is God, which is first proof. On the basis of this fact, Descartes shows only God is the cause of thinking self who has idea of God(second proof), both of them are called Cosmological argument. To investigate this, at first he states that representative reality that is different from formal reality sets a kind of hierarchy, the degree of this reality is equally applied to cause and effect, consequently to the cause of my idea or existence(God). From Meditation V, third proof which is called Ontological argument, Descartes examined a supremely perfect God can't be separated from God's existence(perfection) just as surly as the certainty of any shape or number, for example triangle, namely it is quite evident that God's existence includes his essence. Through these processes I shall examine following points: the way of having Descartes' proofs of God's existence itself is not only exposed, God's existence who guarantees cogito ergo sum which is never doubted, despite doubting all things that is outside, is but also postulated; Proofs for the existence of God are an ultimate source of ensuring the clear and distinct perception of human reason, Descartes uses reason suitable for non-christians instead of faith suitable for Christians for these methods, which are similarities with the traditional views on the one hand, but nevertheless there are some of discontinuities establishing authority or power of the first philosophical principle to which God is subjected, on the other.

• Korean Journal of Childcare and Education
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• v.10 no.5
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• pp.229-248
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• 2014

The purpose of this study is to draw guidelines on how to select traditional games that would efficiently help and develop multiple intelligences in children. Guidelines standard of section inquiries were prepared through a Delphi survey targeting twenty experts in early childhood education and traditional games. As a result, linguistic intelligence questions regarding writing, listening, speaking and vocabulary acquisition were selected. logical-mathematical intelligence questions regarding strategy, counting, patterns, hypothesis, verification, and comparing, contrasting, calculating ability were selected. Spatial intelligence questions regarding drawing, coloring, representation activities, operating and creating were selected, physical performance intelligence questions regarding global muscles, eye-hand coordination, flexibility, accommodation force, balance, agility and muscular strength were selected. Musical intelligence included questions about singing, and playing musical instruments. Interpersonal intelligence included perspective-taking, role-sharing, cooperation and discussion. For intrapersonal intelligence questions regarding personal significance-ties, planning-decision making, emotional expression and problem solving were selected. Finally, in relation to naturalist intelligence, questions regarding living organisms, inanimate objects and seasons were selected. In addition, traditional games were analyzed based on the finalized guidelines, and the results showed that each of the traditional games would not only work with one intelligence at a time but with other different intelligence as well. In the light of that, the study confirmed the validity of the guidelines on how to select traditional games that would develop multiple intelligences in children.

• Journal of the Korean Institute of Traditional Landscape Architecture
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• v.29 no.1
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• pp.50-58
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• 2011

Cheongpunggye is located in a valley where Baekaksan, the main mountain of Seoul and Inwang Mountain corresponding to right-white tiger(石白虎) divination based on topography are crossed. The owner of Cheongpunggye is Seonwon Kim Sangyong and many people had visited there without pause because of beautiful landscape since the early times of Chosun. Seonwon Kim Sangyong had ever studied together with Yulgok Yi I and Woogye Seong Hon. He was one of the Western faction(Seo-in) which was the leading power of Injo Coup and died for his chastity during Second Manchu Invasion of Chosun. He is known as a model of fidelity which is a symbol for scholar's spirit in Chosun together with his younger brother Cheongeum Kim Sangheon. Jangdong region, the clan village of New Andong family was the birthplace of Yulgok School which was the fundamental of scholar spirit of Chosun. And Jangdong would be the source of Jin-Gyeong(Real Scenery) Culture which was bloomed by Baekak club composed of Gyeomjae Jeong Seon, Sacheon Lee Byeongyeon, and Gwanajae Cho Yeongseok. The contents of this study are as follows. First, this study explored the placeness of Seochon region through the historical background like the relation between Jangdong, the clan village of Andong Kim family and Andong Kim family, and achievements of Seonwon Kim Sangyong and circumstances of that times. Second, this study tried to know original landscape of Cheongpunggye by investigating location, topography, water system etc. based on analysis of literature, old map, and paintings describing Cheongpunggye. The study was progressed in this way. To infer the original landscape, about 50 landscape elements of Cheongpunggye shown in Punggyejibseunggi(楓溪集勝記), Cheongpunggye Cheop, Cheongpunggye(淸風溪), the work of Gyeomjae Jeong Sean were searched, and then the location and form of the elements was analyzed. Furthermore, by analyzing the meanings of the names for the landscape elements, the thoughts(Naturalism, Taoism, Confucianism, Buddhism) supporting the structure of Cheongpunggye could be inferred. It is thought that these findings can contribute to exploration of placeness of Cheongpunggye. The study on original landscape of Cheongpunggye can be used as basic data when these works are executed-revival of Cheongpunggye, restoration of small streams in upper part of Cheonggyecheon, renewal of Seochon region.