• 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.

• School Mathematics
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• v.9 no.2
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• pp.181-196
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• 2007

It would have a trouble to communicate mathematically without an appropriate use of mathematical language. Therefore it is necessary to form mathematics classroom culture to encourage students to use mathematical language precisely. A four-month teaching experiment in a 4th grade mathematics class was conducted focused the accurate use of mathematical language. In the course of the teaching experiment, children became more careful to use their language precisely. The use of demonstrative pronouns such as this or that as well as the use of inaccurate or wrong expressions was diminished. Children became to use much more mathematical symbols and terms instead of their imprecise expressions. The result of the experiment suggests that the culture that encourage students to use mathematical language precisely can be formed in elementary mathematics classroom.

• School Mathematics
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• v.5 no.3
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• pp.297-314
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• 2003

Mathematics students must appropriate their mathematical knowledge which has the definition and theorem of mathematics, algorithm, reasonable thought, heuristic, and mathematics language, and so on. That is, students should construct, use, and apply their own knowledge during learning. Appropriation of mathematical knowledge is practicable when mathematics language is in charge of many functions that Vygotsky cited. To reach the potential development level with mathematics language, students need the zones that they interact themselves and peers, as well as teacher. On that ground, this study presented the interactional zones of IZPD, ZPP, and ZAD, and modeled mathematics learning. By the case of 2 students, we found that ZPP and ZAD were necessary and important.

• School Mathematics
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• v.12 no.1
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• pp.61-77
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• 2010

Understanding of mathematical terms plays one of the key factors in understanding and utilizing related mathematical contents. In order to understand such terms well, it is necessary to define and use them appropriately. In this study, we first investigate specific instances of inappropriate using or representing mathematical terms in elementary school mathematics textbooks from a mathematical point of view and a consistent point of view. We then suggest implications for using and representing such mathematical terms appropriately.

• School Mathematics
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• v.18 no.3
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• pp.527-539
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• 2016

A word 'is' in "A parallelogram is trapezoid." is ambiguous and very rich when it comes to its meaning. In this paper, 'is' as in everyday language will be identified as semantic primes that can be interpreted in different ways depending on context and situation, and meanings of 'is' in mathematics will be discussed separately. Focusing on 'identity', 'is' will be reinterpreted in the view of equivalence relation and van Hieles' work. 'Is', as a mathematical sign, is thought to have a significant importance in producing mathematical ideas meaningfully.

• Annual Conference on Human and Language Technology
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• 2023.10a
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• pp.698-703
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• 2023

최근 ChatGPT와 같은 사전학습 생성모델은 자연어 이해 (natural language understanding)에서 좋은 성능을 보이고 있다. 또한 코드 작업을 도와주고 대학수학능력시험, 중고등학교 수준의 문제를 풀거나 도와주는 다양한 분야에서 활용되고 있다. 본 논문은 사전학습 생성모델을 이용하여 영어 교육을 위해 말뭉치를 확장하는 프레임 워크를 제시한다. 이를 위해 ChatGPT를 사용해 말뭉치를 확장 한 후 의미 유사도, 상황 유사도, 문장 교육 난이도를 사용해 생성된 문장의 교육적 효과를 검증한다.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.163-175
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• 2003

The research was aimed to find a special quality to the mathematical concept development using a graphing calculator in the collaborative learning. I could observe the process in which the students had formed the generalized and abstract mathematical concepts after they were given different concepts. I \ulcorner-Iso observed the characteristics of how they started with a vague syncretic conglomeration and approached to the complicated thoughts and genuine concepts. The advance of the collection type was achieved in the process of teacher's confirming of what the students had observed with a calculator. The language and the instrument were used in order for students to control the partial process. Also, they were given similar types of problems to make them clear when the students confronted 'the crisis of thoughts' at the level of pseudo-concept.

• Proceedings of the Korean Society of Computer Information Conference
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• 2011.06a
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• pp.225-228
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• 2011

창의성이 강조되는 시대에 영재 교육의 중요성은 점차 높아지고 있다. 그러나 정보 영재를 위한 연구는 수학이나 과학 영재에 비해 미미한 수준이며, 특히 초등 정보영재를 위한 프로그래밍 교육은 창의적 알고리즘을 개발하는 능력을 기르는 것보다 학습자의 수준에 맞지 않는 특정 프로그래밍 언어의 사용법이나 문법 위주의 교육에 치중하고 있다는 우려의 목소리가 높았다. 이에 본 논문에서는 초등 정보영재의 알고리즘적 사고력을 향상시키기 위한 실생활 중심의 컨텐츠를 제안하고자 한다. 초등학생의 생활과 밀접하게 연관된 주제를 선정하여 학습 동기를 유발하고, Polya의 문제해결모형을 토대로 스스로 이야기를 만들고 그 안에서 알고리즘을 찾아가는 과정을 통해 알고리즘적 사고력을 향상시킬 수 있도록 컨텐츠를 설계하였다.

• Journal of The Korean Association of Information Education
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• v.7 no.1
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• pp.11-26
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• 2003

Although many mathematical teaching/learning materials are already developed in the web, diverse utilization of this materials such as calculation, searching, or reusing of expressions are limited since the expression is actually a figure. To cope with this, MathML which describing mathematical notation was developed. In the paper, we proposed the methods of developing teaching materials using MathML, making learning assistance tools which utilize MathML, and applying MathML to information exchange community for Mathematics courses in ICT environment. Using MathML to develop a teaching material makes easy to correct and reuse the mathematical notations conveniently. Furthermore, learning assistance tools made by placing MathML help teachers reorganize and utilize these materials in the classroom as well as enhancing the connection between mathematical notations and concepts. The web-board that can make a use the mathematical notations using MathML enables the teachers and students to exchange information actively. It also helps to fulfill different types of teaching using ICT such as "discussion on the web".

• Journal of KIISE:Software and Applications
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• v.26 no.4
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• pp.568-583
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• 1999

대량의 말뭉치(corpus)로부터 구문 정보나 의미 정보를 컴퓨터를 사용하여 자동으로 발췌하려는 연구가 활발하다. 그러나 실용적인 자연언어처리 시스템이 되기 위해 필요한 망라성(coverage)과 견고성(robustness)을 갖기 위해 어느 정도 규모의 말뭉치가 필요한지에 대한 연구는 극히 미비하다. 본 연구는 '우리말큰사전'상의 주요 4가지 품사에 속하는 단어들을 중심으로 상이 단어(different words) 수와 말뭉치 크기간의 상관관계를 통계적으로 고찰하여 수학적 예측함수(estimating functions)를 구한다. 그리고 이를 통해 자료 빈약성(data sparseness)현상을 타당한 수준으로 감소시켜 말뭉치를 기반 자연어처리의 신뢰도를 높이기 위해 요구되는 말뭉치 크기를 예측한다. 또한 예측된 말뭉치 크기를 근거로 합리적인 말뭉치 구축 방법을 제안한다.