• Journal for History of Mathematics
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• v.24 no.4
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• pp.119-141
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• 2011

This paper analysed the mathematical paradoxes which would be based in the probability and statistics. Teachers need to endeavor various data in order to lead student's interest. This paper says mathematical paradoxes in mathematics education makes student have interest and concern when they study mathematics. So, teachers will recognize the need and efficiency of class for using mathematical Paradoxes, students will be promoted to study mathematics by having interest and concern. These study can show the value of paradoxes in the concept of probability and statistics, and illuminate the concept being taught in classroom. Consequently, mathematical paradoxes in mathematics education can be used efficient studying tool.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.26 no.11
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• pp.1623-1629
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• 2022

Matrix multiplication is a fundamental operation widely used in science and engineering. There is an approximate matrix multiplication method as a way to reduce the amount of computation of matrix multiplication. Approximate matrix multiplication determines an appropriate probability distribution for selecting columns and rows of matrices, and performs approximate matrix multiplication by selecting columns and rows of matrices according to this distribution. Probability distributions are generated by considering both matrices A and B participating in matrix multiplication. In this paper, we propose a method to generate a probability distribution that selects columns and rows of matrices to be used for approximate matrix multiplication, targeting only matrix A. Approximate matrix multiplication was performed on 1000×1000 ~ 5000×5000 matrices using existing and proposed methods. The approximate matrix multiplication applying the proposed method compared to the conventional method has been shown to be closer to the original matrix multiplication result, averaging 0.02% to 2.34%.

• The Mathematical Education
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• v.44 no.3 s.110
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• pp.435-456
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• 2005

This research aims to analyse implementation effects of the Real mathematics Education(RME) in the high school probability and statistics For this aim, two research questions are estabilished as fellows. (1) Is there any improvement of mathematical achievement in the class by RME's lecture than in the class by the mathematics text's lecture ? (2) Is there any improvement of mathematisation level in the class by RME's lecture than in the class by the mathematics text's lecture ? Before answering the above research questions, RME.`s lecture notes and ordinary lecture notes are developed based on the learning principles of the RME and mathematics textbook respectively. Two classes are randomly chosen from a high school located at midium size city and assigned as the experimental group and the control group respectively. The 20 hours of the RME's lecture notes is administerd to the experimental group and the 20 hours of the odinary lecture notes is administerd to the control group. It is shown that the class by RME's lecture is more effective in both of the mathematical achievement and the mathematisation activity than the class by the ordinary lecture. Hence, it is urged from the result of this research that RME's context will be developed and the RME's lecture will be implemented in the other field of high school mathematics.

• The Journal of Korean Institute for Practical Engineering Education
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• v.5 no.1
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• pp.1-13
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• 2013

For a basic engineering education the confirmation and verification of the deductive Inference was studied and the principle of probability inference was applied. The background of introduction of deductive Inference and its test method was mentioned, and historic arguments on the compatibility of deductive statistical inference was summarized and analyzed. Philosophical arguments on the deductive confirmation for engineering experiments was introduced. Premise, procedure, and control of the experiments are studied. As an example of the deductive probability inference three groups of experimental data were used in order to find successful inferences respectively.

• The Korean Journal of Applied Statistics
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• v.18 no.1
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• pp.197-210
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• 2005

In Korea, mathematics education has been taken according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.

• Journal of the Korean Data and Information Science Society
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• v.25 no.4
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• pp.869-880
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• 2014

This study aims at presenting the educational model for the effective application of probability and statistics to the H/W curriculum. In order to do this, this paper conducts a survey with H/W major college students, and then analyzes how probability and statistics can be correlated with other H/W core subjects and how the knowledge of probability and statistics can affect the understanding of H/W majors through the actual class experiment. Consequently this study suggests probability and statistics as a prerequisite subject in the H/W curriculum.

• Bulletin of the Korean Chemical Society
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• v.27 no.12
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• pp.1976-1980
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• 2006

We have calculated the reaction probability and the reaction cross-section of the $N(^4S)+O_2(X^3\sum_{g}^{-})\;\rightarrow\;NO(X^2\Pi)+O(^3P)$ reaction by the quasiclassical trajectory method with the 6th-order explicit symplectic algorithm, based on a new ground potential energy surface. The advantage of the 6th-order explicit symplectic algorithm, conserving both the total energy and the total angular momentum of the reaction system during the numerical integration of canonical equations, has firstly analyzed in this work, which make the calculation of the reaction probability more reliable. The variation of the reaction probability with the impact parameter and the influence of the relative translational energy on the reaction cross-section of the reaction have been discussed in detail. And the fact is found by the comparison that the reaction probability and the reaction cross-section of the reaction estimated in this work are more reasonable than the theoretical ones determined by Gilibert et al.

• 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.

• Journal of the Korean Data and Information Science Society
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• v.23 no.5
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• pp.905-912
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• 2012

We are dealing with the Bayes' rule education tool with Excel Macro and its usage example. When an event occurs, we are interested in whether it does under certain conditions or not. In this case, we use the Bayes' rule to calculate the probability. Bayes' rule is very useful in making decision based on newly obtained statistical information. We introduce an efficient self-teaching educational tool developed to help the learners understand the Bayes' rule through intermediate steps and descriptions. The concept and examples of intermediate steps such as conditional probability, multiplication rule, law of total probability, prior probability and posterior probability could be acquired through step-by-step learning. All the processes leading to result are given with diagrams and detailed descriptions. By just clicking the execution button, users could get the results in one screen.

• The Journal of Korean Academic Society of Nursing Education
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• v.20 no.3
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• pp.372-381
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• 2014

Purpose: This study aims to investigate the effects of a peer gatekeeper training program on existential spiritual well-being, interpersonal relationship with friends, and suicide probability for middle school students. Methods: The participants were fifty students who were at a vocational middle school in D city from october 13, 2012 to november 10, 2012. To test the effects of the peer gatekeeper training program, the participants were divided into two groups in the way of matching distribution, an experimental group(24) and a control group(26). Data were analyzed by Chi-square test, t-test, and Fisher exact probability test using the SPSS/WIN 12.0 program. Results: After attending the peer gatekeeper training program, significant differences between the experimental group and the control group were found in existential spiritual well-being(t=2.80, p=.007) and interpersonal relationship with friends scores(t=2.67, p=.010). However, there was no statistically significant difference in suicide probability between the two groups. Conclusion: The results indicate that the peer gatekeeper training program enhance existential spiritual well-being and interpersonal relationship with friends of middle school students. Therefore, this program could be a good strategy that teachers and community mental health nurses can use for suicide prevention of middle school students.