• The Mathematical Education
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• v.24 no.2
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• pp.35-47
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• 1986

As computer is diffused in society widely, it is desired that we investigate on computer uses in school education. In this paper, Possibility of Micro computer uses in mathematics education is investigated. Educational computing is classified roughly three categories they are CAI CMI and Computer iteracy education. CAI is discussed at this place. Firstly, programs of mathematics educational computing is introduced and they are classified into Practicing, Tutoring, Simulating, Gaming, Demonstration, Informing. Next, the problems that we must notice in mathematics educational computing are indicated. They are computer language, development of soft ware, effectiveness of CAI etc...

• Journal of Elementary Mathematics Education in Korea
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• v.9 no.2
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• pp.181-200
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• 2005

The purpose of this thesis was to analyze communicational means of mathematical communication in perspective of languages and behaviors. Research questions were as follows; First, how are the characteristics of mathematical languages in communicating process of mathematical small group learning? Second, how are the characteristics of behaviors in communicating process of mathematical small group learning? The analyses of students' mathematical language were as follows; First, the ordinary language that students used was the demonstrative pronoun in general, mainly substituted for mathematical language. Second, students depended on verbal language rather than mathematical representation in case of mathematical communication. Third, quasi-mathematical language was mainly transformed in upper grade level than lower grade, and it was shown prominently in shape and measurement domain. Fourth, In mathematical communication, high level students used mathematical language more widely and initiatively than mid/low level students. Fifth, mathematical language use was very helpful and interactive regardless of the student's level. In addition, the analyses of students' behavior facts were as follows; First, students' behaviors for problem-solving were shown in the order of reading, understanding, planning, implementing, analyzing and verifying. While trials and errors, verifying is almost omitted. Second, in mathematical communication, while the flow of high/middle level students' behaviors was systematic and process-directed, that of low level students' behaviors was unconnected and product-directed.

• Journal for History of Mathematics
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• v.13 no.1
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• pp.99-112
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• 2000

In this paper we discuss the teaching methods about statistical inferences. Bayesian methods have the attractive feature that statistical conclusions can be stated using the language of subjective probability. Simple methods of teaching Bayes' rule described, and these methods are illustrated for inference and prediction problems for one proportions. Also, we discuss the advantages and disadvantages of traditional and Bayesian approachs in teaching inference.

• Research in Mathematical Education
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• v.2 no.1
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• pp.5-12
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• 1998

The COM curriculum provides first a core of mathematics for all students, and then offers opportunities for students to enter different streams of mathematics studies. The flexible curriculum (COM) is certainly welcome as it focuses on a transition from concrete to conceptual mathematics and on sequentially learning the power of mathematical language and symbols from simple to complex. This approach emphasizes the use of computers in mathematics education in the upper secondary grades. In Mathematics A, one unit is developed to computer operation, flow charts and programming, and computation using the computer. In mathematics B, a chapter addresses algorithms and the computer where students learn the functions of computers, as well as programs of various algorithms. Mathematics C allots a chapter for numerical computation in which approximating solutions for equations, numerical integration, mensuration by parts, and approximation of integrals. But, unfortunately, they do not have any plan for the cooperation study.

• Journal for History of Mathematics
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• v.29 no.5
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• pp.267-278
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• 2016

Mathematics is a kind of language, and even a tool of cognition for human beings. Mathematics has been used to communicate and to develop the civilizations through the history. So mathematics is one of the most important subjects for human to teach and learn. Especially, developed countries believe that mathematics will play very important roles in the developments of future industries and so future society. In this article, we clarify that combinatorics which is mainly represented by counting is an important ingredient of future mathematics education. To do so, we investigate the characteristics of combinatorics from the educational and cognitive perspectives.

• The Mathematical Education
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• v.48 no.2
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• pp.169-182
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• 2009

This study deals with the postmodern perspectives in mathematics classroom. Today, mathematics and mathematics education can be explored through postmodernism because they have very different practices, pluralism, and anti-authoritarianism. Thus practices and researches of mathematics classroom are coherent to postmodern perspectives such as situated theory, anthropological approach, and interactionism. In these socio-cultural views, learners' milieu and participation, language of classroom activities, and culture of mathematics classroom are considered very important. Therefore, it is required that both mathematics educators and researchers make a change toward postmodernism in attitude and subject of mathematics classroom research.

• The Mathematical Education
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• v.39 no.1
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• pp.37-47
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• 2000

Number concept is basic in mathematics education. But it is very complex and is not easy to understand real number concept, because of its infinity. This study tried to show that what percents of secondary school mathematics teachers in Korea understood the properties of real number, such as cardinality, continuity, relation with real line, and infinity, which were written by verbal language.

• Korean Journal of Logic
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• v.21 no.1
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• pp.97-133
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• 2018

In his unpublished article, "Is Mathematics Syntax of Language?," $G{\ddot{o}}del$ criticizes what he calls the 'syntactical interpretation' of mathematics by Carnap. Park, Chun, Awodey and Carus, Ricketts, and Tennant have all reconstructed $G{\ddot{o}}del^{\prime}s$ arguments in various ways and explored Carnap's possible responses. This paper first recreates $G{\ddot{o}}del$ and Carnap's debate about the nature of mathematics. After criticizing most existing reconstructions, I claim to make the following contributions. First, the 'language relativity' several scholars have attributed to Carnap is exaggerated. Rather, the essence of $G{\ddot{o}}del^{\prime}s$ critique is the applicability of mathematics and the argument based on 'expectability'. Thus, Carnap's response to $G{\ddot{o}}del$ must be found in how he saw the application of mathematics, especially its application to science. I argue that the 'correspondence principle' of Carnap, which has been overlooked in the existing discussions, plays a key role in the application of mathematics. Finally, the real implications of $G{\ddot{o}}del^{\prime}s$ incompleteness theorems - the inexhaustibility of mathematics - turn out to be what both $G{\ddot{o}}del$ and Carnap agree about.

• Research in Mathematical Education
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• v.9 no.3 s.23
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• pp.269-273
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• 2005

Nowadays application of modem achievements of information technologies in science, engineering and education is usual phenomenon. Application of these technologies allows easily creating new methods of learning of mathematics. More of new methods of creation of multimedia electronic manuals on high mathematics are founded to application of multimedia and communication opportunities of the computer. But application only multimedia and communication opportunities of the computer at creation of multimedia electronic manuals on high mathematics is insufficient to elimination of 'gap' between training and studying high mathematics. So, we offer a new way of the decision of this problem: creation of a multimedia electronic manual on high mathematics with built-in a mathematical environment MathCad in the national language.

• Journal of Fisheries and Marine Sciences Education
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• v.29 no.3
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• pp.932-940
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• 2017

This study investigated the perception of pre - service teachers in order to find out how paper textbooks are used in high school classes and what improvement is needed. Firstly, the results of analyzing the perception about the utilization of textbooks are as follows. First, in the case of Korean language, social studies, mathematics, science, and English, textbooks were used most frequently, and most of the respondents did not use textbooks for arts and physical education subjects. Secondly, Korean language, social studies, mathematics, science, and English textbooks are most frequently used as teaching materials. Third, in the case of Korean, social, mathematics, science, and English subjects, in addition to textbooks, problem collections were used most frequently and arts and physical education subjects showed the most use of prints. Next, the results of analyzing the perception of the improvement method of the textbooks are as follows. First, in the high school class, the response rate was high in that Korean, social, mathematics, science, and English classes needed a textbook. Most of the respondents answered that they were not necessary for the textbooks of arts and physical education subjects. Second, in order to improve the textbooks, the most demanding textbooks focused on the core basic contents, followed by self - directed learning activities, competency centered contents selection, cooperative learning activities, and teacher self - development. The demand for digital textbooks was low.