• The Mathematical Education
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• v.42 no.3
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• pp.327-335
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• 2003

This study analyzes the effectiveness of cooperative learning in the instruction of the underachieved students. The result of this study showed that students who participated in the cooperative teaming tended to exert positive effects on the cognitive and affective(interest, self-confidence, motivation) domains. In the cooperative teaming, the underachieved students were encouraged in mathematics teaming and improved the efficiency of loaming in mathematics.

• The Mathematical Education
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• v.42 no.3
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• pp.337-352
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• 2003

In this paper, we have studied the ways to enhance students' interest in infant math education. Firstly, we explain to the students the relation between the infant math skills and the college math contents. Next, the students practiced the subject about the infant education and the infant math education in real environment. Finally, the results of the practice are analyzed. From this study, we could find that the students got good experiences in infant math education activities and had the chance to change their mind in affirmative way for the infant math education and mathematics itself through performing given projects and investigations.

• Communications of the Korean Mathematical Society
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• v.21 no.2
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• pp.397-407
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• 2006

We construct polynomial-fitting interpolation rules to agree with a function f and its first derivative f' at equally spaced nodes on the interval of interest by introducing a linear functional with which we produce systems of linear equations. We also introduce a matrix whose determinant is not zero. Such a property makes it possible to solve the linear systems and then leads to a conclusion that the rules are uniquely determined for the nodes. An example is investigated to compare the rules with Hermite interpolating polynomials.

• Journal of the Korean Mathematical Society
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• v.53 no.6
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• pp.1275-1292
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• 2016

The Marcinkiewicz-Zygmund strong law of large numbers for conditionally independent and conditionally identically distributed random variables is an existing, but merely qualitative result. In this paper, for the more general cases where the conditional order of moment belongs to (0, ${\infty}$) instead of (0, 2), we derive results on convergence rates which are quantitative ones in the sense that they tell us how fast convergence is obtained. Furthermore, some conditional probability inequalities are of independent interest.

• Journal of the Korean School Mathematics Society
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• v.1 no.1
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• pp.69-79
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• 1998

My suggestions to the teachers on the basis of my research are as follows: 1. A mathematical curriculum in high school requires an intuitive understanding. I'm sure we can not only improve the student's intuition and imagination by Euler's insight and intellectual investigation, but also induce motive and interest in mathematical learning by increasing the inquiry activities. Therefore, I suggest that we take advantage of teaching aids available from this research by processing the units in the mathematical textbook. 2. We can feel the beauty of mathematics by Euler's symbols and simple formulas. We must take pride in teaching mathematics because the mathematical insight is very useful in the inqury process. 3. We have to model ourselves after Euler's spirit of inquiry and energetic activities.

• Journal of Educational Research in Mathematics
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• v.12 no.2
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• pp.291-311
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• 2002

The PISA(Program for International Student Assessment), an international comparative study supervised by OECD, is aimed at producing reliable and internationally comparab1e indicators of students' literacy in reading, mathematics, and science. In mathematical literacy, Korean students ranked the 2nd out of the 32 participating countries in PISA. This result is very encouraging in the sense that the scores in the mathematical literacy is the forecasting indicator for the mathematical level of future citizens who are supposed to lead their countries in every fields. In contrast to the high performance in mathematics, Korean students possess extremely low level of interest in mathematics. On the other hand, Korea's highest top 5% students are not on a par with the best students in New Zealand, Japan, Swiss, Australia, and England. This finding urges Korean education to put serious efforts to pursue academic excellence. Overall, PISA results suggest that Korean mathematics education has been effective and efficient. Korean education system should set goals to meet the world standard and the challenges of the lifelong teaming society.

• The Journal of Korean Medicine
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• v.33 no.3
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• pp.105-119
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• 2012

Background: In contrast to the increased interest in constitutional medicine evidenced by clinical experiences, there has been no theoretical or mathematical analysis on the stability or number of constitutional types. Objectives: The purpose of the study was to evaluate the stability of possible constitutional types and to find stable constitutional types based on imbalanced structure of five energy elements using mathematical analysis. Methods: For the 120 constitutional types which are possible by the imbalanced combination of five energy elements, vitality, stability and continuity were evaluated mathematically based on mutual activation and suppression between the five energy elements. Results: 10 constitutional types were derived. They had the highest vitality and stability, and they had permanent continuity, never changing their order of imbalanced structure. Conclusions: 10 constitutional types are logical and most reasonable when we classify the body types based on imbalanced structure of five energy elements.

• The Mathematical Education
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• v.40 no.1
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• pp.93-102
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• 2001

The world we live in is called the age of information. Thus communication and computers are doing the central role in it. When one studies the mathematical problem, the use of tools such as computers, calculators and technology is available for all students, and then students are actively engaged in reasoning, communicating, problem solving, and making connections with mathematics, between mathematics and other disciplines. The use of technology extends to include computer algebra systems, spreadsheets, dynamic geometry software and the Internet and help active learning of students by analyzing data and realizing mathematical models visually. In this paper, we explain concepts of transformation, linear transformation, congruence transformation and homothety, and introduce interesting, meaningful and visual models for teaching of a plane transformation geomeoy which are obtained by using Mathematica. Moreover, this study will show how to visualize linear transformation for student's better understanding in teaching a plane transformation geometry in classroom. New development of these kinds of teaching-learning methods can simulate student's curiosity about mathematics and their interest. Therefore these models will give teachers the active teaching and also give students the successful loaming for obtaining the concept of linear transformation.

• East Asian mathematical journal
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• v.33 no.4
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• pp.413-429
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• 2017

This study is a basic study for developing a mathematical learning application program that can be used in smart devices for adaptive learning. We selected 20 mathematical learning applications including middle school contents and analyzed learning types. And we analyzed the contents and the learning process. As a result, most learning types of mathematics learning applications were problem-centered. Contents analysis results showed that the most applications have achievement goals. The factors that induce interest in learning were lacking and feedback was not provided sufficiently. Analysis of the learning process showed that most of the math learning applications were classified according to their purpose and characteristics.

• Education of Primary School Mathematics
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• v.4 no.1
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• pp.51-61
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• 2000

Mathematical Problem solving has been the focus of a considerable amount of research over past 30 years. But nowadays problem solving is being beginning to be of less interest to mathematics education researchers. Moreover, mathematics teachers have an urgent need to be provided with well-documented informations about "teaching of(expecially, via) problem solving" though following research issues ：ⅰ) the role of the teacher in a problem-centered classroom, ⅱ) what actually takes place in problem-centered classrooms, and iii) groups and whole classes' problem solving rather than individuals. This paper intends to give some informations about practice of teaching mathematical problem solving in elementary school.ry school.