• Journal of the Korean Chemical Society
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• v.58 no.6
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• pp.667-680
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• 2014

The purpose of this study was to develop teaching stratege focused on Conservational reasoning, Proportional reasoning, Variable-controlling reasoning, Probabilitic reasoning, Correlational reasoning, Combinational reasoning and investigate its effects on enhancing students' logical thinking skills through the science teaching on common education. And the teaching materials was implemented to 110 students in middle school over about six months. The results indicated that the experimental group presented statistically meaningful improvement in logical thinking skills (p<05). Especially, this teaching stratege was effective on Conservational reasoning, Variable-controlling reasoning, Combinational reasoning but was not effective on Proportional reasoning, Probabilitic reasoning, Correlational reasoning (p<.05). Logical thinking according to the teaching strategy skill was not affected by gender, cognitive level, academic achievement (p<.05).

• The Korean Journal of Applied Statistics
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• v.7 no.1
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• pp.113-119
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• 1994

Logical and frequency probabilities are computed with discussion on their conceptual difference for the case of '14-faces dice' which was excavated in a Unified Silla period pond Anap-chi located at Kyung-ju City, Korea. This wooden dice has eight triangular and six square faces.

• Korean Journal of Logic
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• v.13 no.1
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• pp.53-81
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• 2010

This essay attempts to suggest a third way to interpret probabilities based on diagnoses of weaknesses and strengths of the objective and the subjective interpretations. While the objective interpretations capture important intuitions in employing probability, it can provide the definitions of probability only in a circular way. Although the subjective interpretations seem to avoid this problem, it also fails to understand how one can extract certain information from the ignorance of a given system. It will be suggested that these problems can be bypassed if we consider probabilities as theoretical structure, which provide significant generalizations about the world.

• Journal of The Korean Association For Science Education
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• v.29 no.4
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• pp.437-449
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• 2009

The purpose of the study is to meta-analyze research results on Korean students' logical thinking ability. The results of meta-analysis on the research studies between the year 1980 and the year 2000 show that about 40-50% of Korean middle school students have conservation reasoning, proportional reasoning and combinatorial reasoning abilities, and that about 25-30% of them have control of variables and probability reasoning abilities. In addition, only 8% of the Korean middle-school students have correlational ability. When comparing their logical thinking ability results with those of Japanese and American middle-school students, The ratio (32.6%) of Korean middle-school students who have formal thought ability is a little higher than that of American students (30.6%), but much lower than that of Japanese students (50.1%).

• Korean Journal of Logic
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• v.9 no.2
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• pp.31-57
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• 2006

직설법적 조건문의 이론이 해결해야 할 문제 중 하나는 각자 옳을 것 같지만 모두 참일 수 없는 직설법적 조건문에 관한 세 원리들이 있다는 것이다. 먼저 직설법적 조건문을 진리 함수적으로 분석하는 것은 '주관적 확률'을 고려할 때 이 문제를 해결할 수 없다고 논증할 것이다. 필자는 여기서 직설법적 조건문에 관한 성향적 분석을 제시하고 이 이론이 세 원리들의 문제를 해결한다고 주장한다. 그리고 잘 알려져 있는 직설법적 조건문의 수용 조건 혹은 주장가능성 조건을 제시하는 아담스 논제는 조건부 확률이 두 절대적 확률의 비로 정의된 다면 옳지 않을 것이라고 주장한다. 조건부 확률을 성향적으로 정의할 경우에만 아담스 논제는 옳을 수 있다. 마지막으로 아담스 논제의 주장가능성 조건을 진리 조건으로 제시하는 이론도 논박될 것이다.

• Journal of The Korean Association For Science Education
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• v.6 no.2
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• pp.53-62
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• 1986

본 연구의 목적은 한국 중 고등학교 학생들의 지적 발달의 특성을 조사 분석함으로써 교과서 및 교육과정의 개발에 필요한 기초자료를 얻으려는 것이다. 지역, 학년, 연령, 성 및 가정의 사회 경제적 지위에 따른 인지 발달 특성을 조사하였다. 연구의 대상은 전국을 대도시, 중 소도시, 농촌으로 유층화한 유층군집 표집방법에 의해 표집한 중학교 1학년부터 고등학교 2학년까지의 남 녀 학생이었다. 표집학생 수는 중학교가 18개교 54학급 3,164명이었고, 고등학교가 18개교 36학급 1,981명이었다. 가정의 사회 경제적 지위는 가정의 경제적 형편, 부의 직업, 부의 학력, 가정의 수입 정도를 고려하여 4계층으로 구분하였다. 사용된 도구는 지적 영역의 조사에 Piaget의 인지발달이론에 따른 논리발달 검사를 이용했다. 분석된 결과를 요약하면 다음과 같다. 첫째, 명제논리, 확률논리, 조합논리, 변인조작개념은 연령과 학년이 높아질수록, 대도시로 갈수록, 사회 경제적 지위가 높을수록 더욱 발달하는 경향이다. 둘째, 개념의 발달경향에 있어서 이원추리와 조합논리개념의 발달이 확률논리와 명제논리 개념의 발달보다 빠른 경향이다. 셋째, 한국의 중등학생 중에서 12세의 64.6%, 13세의 58.1%, 14세의 43.8%, 15세의 30.1%, 16세의 22.6%가 구체적 조작 후기에 도달해 있다. 넷째, 중등학생의 학년별 인지발달경향을 보면 중1의 69.8%, 중2의 51.1%, 중3의 47.4%, 고1의 21.6%, 고2의 21.7%가 구체적 후기의 발달수준이다.

• The Korean Journal of Applied Statistics
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• v.9 no.2
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• pp.83-94
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• 1996

The probability of Yut was calculated by using the physical property in previous study, but this article suggested empirical estimators for probability of Yut. In practice, physics-based probability imposes too strong assumptions, which result in the difference between the calculated probabilies and empirical relative frequencies. Experiment shows the probabilities of Yut depend on the integrated shape of Yut rather than the floor type. Maximum likelihood estimator and empirical Bayes estimators are compared and all turn out to be almost identicla for more than 40 trials. For smaller number of trials, Bayes estimators are recommended for its stability. Regression approach is also adopted as an easy-to-use method without empirical trials.

• Journal for History of Mathematics
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• v.19 no.3
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• pp.43-56
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• 2006

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.

• The Korean Journal of Applied Statistics
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• v.7 no.2
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• pp.263-268
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• 1994

Thomas Bayes assumed uniform prior for the location $\theta$ of a billiard ball W in his historic 1764 paper. In this study, following mathematical derivation of the uniform distribution from several assumptions that are plausible on te billiard table, it is argued that the probabilistic meaning of Bayes' uniform prior (especially in Billiard Problem) is not just sujective but logical.

• The Korean Journal of Applied Statistics
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• v.18 no.2
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• pp.445-452
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• 2005

We considered the frequency and classical probabilities under cuboctahedral die with 8 hexagons and 6 regular squares and compared with the frequency and logical probabilities under cuboctahedral die with 8 triangles and 6 regular squares.