• Journal of applied mathematics & informatics
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• v.37 no.1_2
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• pp.157-162
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• 2019

Programming tools are essential for students learning numerical analysis. It is troublesome to go to a laboratory where a computer is located after taking a lecture. Nowadays most students have mobile phones which can be used for programming practice through the Internet. PHP is a server-side scripting language designed for web development but also used as a general-purpose programming language. However, PHP has many inconveniences, such as adding a dollar symbol ($) to every varable. This paper introduces a slightly modified language, NAPHP, and a system which is designed for students to use their own mobile phone to write down the language NAPHP and run it on the web page. The system NAPHP-SYS is an educational tool that turns NAPHP into PHP, run PHP code and show the results on the web.

• Journal for History of Mathematics
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• v.13 no.2
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• pp.145-150
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• 2000

This paper is intended to show that fuzzy logic can be understood in the context of the late Wittgenstein's philosophy. It introduces the view of language presupposed by fuzzy logic and parallels it with the late Wittgenstein's view of language. To make the parallel clear it contrasts the views of the early Wittgenstein and the late Wittgenstein.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.305-321
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• 2019

Rapid demographic changes such as international marriages and immigration have led to the transition of Korea to a multicultural society, thereby causing the need for education for multicultural students. In particular, there is a growing need to support Korean Language Learners (KLLs) who learn in Korean in their classrooms and whose native language is a foreign language. This study aims to adapt some teaching strategies of the SIOP model developed in the U.S. for English Language Learners(ELLs) to fit classroom situations in Korea and apply them to the Korean language learners to analyze the features of mathematical communication and to examine the possibility of a change in mathematical errors. Specifically, three KLLs in 5th grade participated in seven geometry lessons adapting some characteristics of SIOP model and then, their mathematical communication and mathematical errors were analyzed. The results of this study are expected to provide didactical implications for identifying characteristics of KLLs and for setting direction for teaching them mathematics.

• Journal for History of Mathematics
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• v.28 no.4
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• pp.191-204
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• 2015

The reason of the confusion of learners about the logic concepts such as implication, necessary condition and sufficient condition can be analyzed from the point of view of history of logic, discrepancy between ordinary language and formal logic, and reification which occurs in the process of cognition of discursive object and also indicates the necessity of a research. This study analysed the difficulties related to study and implication concept and attempted to the reflection of textbook and curriculum. Not that ordinary language makes the introduction of formal language easier, but that this study discussed the possibilities ordinary language intervenes the learning of formal language. This study additionally intended to understand learning difficulties of concrete subjects, abstract subjects and the gap between primary object and discursive object by understanding the process of sagging, encapsulating and reifying.

• Communications of Mathematical Education
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• v.32 no.4
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• pp.555-573
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• 2018

The purpose of this study is to identify the emotional language of math teachers in math class using text mining techniques. For this purpose, we collected the discourse data of the teachers in the class by using the excellent class video. The analysis of the extracted unstructured data proceeded to three stages: data collection, data preprocessing, and text mining analysis. According to text mining analysis, there was few emotional language in teacher's response in mathematics class. This result can infer the characteristics of mathematics class in the aspect of affective domain.

• Journal of Educational Research in Mathematics
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• v.13 no.2
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• pp.123-141
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• 2003

This study investigated the understanding level and the using level of mathematical language for middle school students in terms of Freudenthal' language levels. It was proved that the understanding level task developed by current study for geometric concept had reliability and validity, and that there was the hierarchy of levels on which students understanded mathematical language. The level that students used in explaining mathematical concepts was not interrelated to the understanding level, and was different from answering the right answer according to the sorts of tasks. And, the level of mathematical language that was understood easily as students' thought, was the third level of the understanding levels. Mathematics teachers should consider the students' understanding level and using level, and give students the tasks which students could use their mathematical language confidently.

• Communications for Statistical Applications and Methods
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• v.8 no.2
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• pp.507-514
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• 2001

In recent years, the development and the embodiment of information analysis system has been sprightly carried out in several fields of study. In this study, as and extension of these studies, we develop a system for multivariate analysis which might be widely used in social and natural sciences. This multivariate analysis system is developed by using multivariate analysis procedures in SAS/STAT software. Also, the system supply users with he environment of GUI(Graphical User Interface), which is constructed with AF(application frame) and SCL(screen control language) of SAS software, in order to help users to use the system with easy.

• Journal of Educational Research in Mathematics
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• v.25 no.1
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• pp.59-74
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• 2015

It is an increasing research area to explore mathematics learning from discursive perspectives. However, there have been little studies conducted on why and how discursive perspectives in mathematics learning were adopted and developed. Especially, not much discussion has been done on the later Wittgenstein's philosophical stance in terms of the relationship between language and thought as a background of discursive approach to learning mathematics. This study aims to explore the later Wittgenstein on language to get better understanding about discursive approaches to mathematics learning. For the attainment of this aim, first the later philosophy is compared with the former philosophy in depth. Then the later philosophy is discussed focusing on how his point of view on the world and the language have been changed. After providing an account of his later philosophy, it is clarified that what is discursive approaches to learning mathematics and how this philosophy brace the approaches. This research concludes with implications and limitations, as well as suggestions for future researches.

• Journal of applied mathematics & informatics
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• v.16 no.1_2
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• pp.91-104
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• 2004

A modification of the gradient method of convex programming is introduced. Also, we describe symbolic implementation of the gradient method and its modification by means of the programming language MATHEMATICA. A few numerical examples are reported.

• The Mathematical Education
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• v.60 no.4
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• pp.529-542
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• 2021

The purpose of this research is to compare the mathematical beliefs that directly or indirectly affect the mathematics learning of Korean languge learners with those of non-Korean languge learners and identify the characteristics. To this end, an analytical comparative research was conducted through a questionnaire survey on perceptions of mathematics learning for 6th grade students of elementary school with different cultural and linguistic backgrounds in the same mathematics classroom. As a result of the analysis, Korean languge learners and non-Korean languge learners gave different meanings to learning mathematics, and they recognized various meanings of success in mathematics. In addition, the math learning ability of non-Korean learners was evaluated higher than that of Korean learners. Based on their positive beliefs, they decided how to resolve conflict situations with different problem-solving results. It will be necessary to prepare a teaching/learning plan that can fully implement multicultural mathematics education in the mathematics classroom where Korean language learners with different cultural and linguistic backgrounds belong. The results of this research can contribute to raising awareness of the need for follow-up researches to find ways to reduce the learning gap between Korean languge learners and non-Korean languge learners. It is expected that this research will contribute to understanding the perceptive characteristics of Korean language learners about learning mathematics and to prepare a plan to utilize them in mathematics lessons.