• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2002.11a
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• pp.363-367
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• 2002

Represent of mathematical formula used within system handling document that is nonstructural in existent document editing system that is used in electron document processing that use computer is represented or processed by method that is nonstructural of image or text or etc. Such mathematical formular causes relative inconvenience to readablility and reusability of document and processing and exchange of document. Therefore, document editing system is required that can overcome such nonadvantage and apply MathML mathematical formula structure on efficiently structural document. Therefore, designed and implemented that document editing system for structural document creation of XML base that can mathematical formular editing of MathML base in this paper.

• Journal of the Korean School Mathematics Society
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• v.16 no.1
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• pp.141-155
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• 2013

Process to translate into other forms in the form of expression for function is important in the development of functional thinking. Also it should be emphasized on the teaching of the function. This study will identify the translation ability of functional expressions and errors in the process to translate. The purpose of this study is to suggest important implications for the teaching and learning of function. To do this, we lead high school students perform the task to examine the translation ability. Then we compute a percentage of correct answers for each question and analyze the types of errors and their causes.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.231-257
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• 2020

As the main mathematical concepts are presented and expressed in various ways through textbooks during the teaching and learning process, it is necessary to look at the representations used in elementary math textbooks to find effective guidance. This study analyzed sentences used in the definition of mathematical terms and unit assessments of current elementary mathematics textbooks according to word depth (Yngve, 1960) from a syntactic perspective. As a result of the analysis, it could be seen that the sentences in textbook were generally concise, the word depth was lower, and the sentence structure and form were different depending on the individual characteristics of each term. Also, the sentences in the lower grade textbooks were more easily constructed, and the sentences of the term definition were more complex than the sentences of the unit assessments. Efforts should be made to help learners learn mathematical concepts, such as clarifying sentences in textbooks, presenting visual materials together, and providing additional explanations to suit the level of individual learners.

• Journal of The Korean Association For Science Education
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• v.34 no.4
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• pp.335-347
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• 2014

Size/scale is a central idea in the science curriculum, providing explanations for various phenomena. However, few studies have been conducted to explore student understanding of this concept and to suggest instructional approaches in scientific contexts. In contrast, there have been more studies in mathematics, regarding the use of number lines to relate the nature of numbers to operation and representation of magnitude. In order to better understand variations in student conceptions of size/scale in scientific contexts and explain learning difficulties including alternative conceptions, this study suggests an approach that links mathematics with the analysis of student conceptions of size/scale, i.e. the analysis of mathematical structure and reasoning for a number line. In addition, data ranging from high school to college students facilitate the interpretation of conceptual complexity in terms of mathematical development of a number line. In this sense, findings from this study better explain the following by mathematical reasoning: (1) varied student conceptions, (2) key aspects of each conception, and (3) potential cognitive dimensions interpreting the size/scale concepts. Results of this study help us to understand the troublesomeness of learning size/scale and provide a direction for developing curriculum and instruction for better understanding.

• Proceedings of the Korean Information Science Society Conference
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• 2004.10a
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• pp.733-735
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• 2004

생명 현상을 시스템적으로 이해하기 위해서는 현상에 대한 수학적 모델링이 필수적이다. 여러 가지 수학적 모델 가운데 상미분 방정식(ODE) 모델은 여러 가지 생화학 반응을 모델링 하는데 널리 사용되고 있다. 본 논문에서는 신호전달 경로에 B형 간염 바이러스가 미치는 영향을 ODE로 모델링하고, 이를 시뮬레이션 한 결과를 보인다. 또한, ODE모델을 설계하는데 있어 보다 유연하고 확장 가능한 새로운 표현 방식을 제안한다.

• Communications of Mathematical Education
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• v.14
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• pp.43-60
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• 2001

수학적 기호는 수학이라는 특수한 분야에 한정되어 사용되는 언어라고 할 수 있다. Usiskin(1996)은 수학을 쓰고 수학적 의미를 의사 소통하는 데에 기호가 그 수단이 되기 때문에 수학 또한, 수학적 기호로 만들어진 언어라고 말하였다. 그러나, 수학적 언어와 일상 언어사이의 이중성 때문에 언어로써 수학 기호는 학생들을 힘들게 만든다. 교사에게는 의미 있는 기호일지라도 학생들에게는 친숙하지 않을 수 있기 때문에, 많은 학생들이 자신들의 수학적 사고를 표현하거나 개념을 반영하거나 또는 아이디어를 확장하기 위해, 수학을 말하고, 읽고, 이해하고 쓰는 데에 어려움을 겪고 있다. 따라서, 본 연구는 학생들이 기호체계에 능숙해지도록 도와주고, 수학 학습과 문제 해결을 위해 수학 기호 언어가 의미 있고 접근하기 쉬운 의사소통 매체가 되게 하기 위하여 언어적 접근에 의하여 수학적기호의 교수-학습지도 방법에 대하여 살펴보고자 한다.

• Communications of Mathematical Education
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• v.16
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• pp.67-80
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• 2003

함수적 사고는 수학적 문제 해결에 있어 기본적인 사고이다. 함수적 사고에서는 변수 사이의 종속성 파악이 그 핵심이 된다. 이는 DGS 동적 기하의 동적(변화), 종속적(구성)이라는 특성에 잘 부합한다. 이에 우리는 동적 기하 환경에서 타당한 종속성 부여를 통해 primitive한 생성자를 알아보고, 이들의 조작과 역 조작, 합성 조작하는 과정을 통해 함수적 사고에 접근하는 방법을 연구해 보려 한다. 나아가 자취 기능을 이용함으로써 시각화를 통해 종속적 관계를 표현해 보고자 한다. 이것은 MicroWorld 환경에서 학습자가 스스로 대상을 구성하는 경험을 통해 함수적 사고를 자연스럽게 형성하도록 하는 것이 바람직하다는 관점에 바탕을 두고 있다.

• School Mathematics
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• v.5 no.4
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• pp.459-476
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• 2003

Internet was introduced to this study for making mathematics class the surroundings where students can solve the mathematics problems and communicate mathematically in a free way without restriction of time and place. With the intention of investigating mathematical communication and problem solving in mathematics education using internet, the objects of this study were determined as follows: First, how does a student express mathematical idea in problem solving using internet\ulcorner Second, is there any difference in the degree of participation of mathematical communication according to schoolwork accomplishment and characteristics of the student\ulcorner Third, what's the effect of class using internet on problem solving of mathematics class\ulcorner A case study was executed for the solution and the subjects were all students(44 persons) of a class in the fourth grade of elementary school in D city got into web-site of internet and had class with it and 8 students out of them were deeply analyzed. Their results were shown on internet, and eight of them had interview for deep research after survey with questionnaires for all of the students after class. The results and the conclusions of this study were as follows: First, it showed that there was various types(simple statement, fact enumerating, logical thinking, using letters and formula, insufficiency of explanation) of the mathematical idea expression in internet according to students and study using internet seems to be helpful to the improvement of logical his own expression through other students' expression. Second, it showed that there was difference in mathematical communication participation according to the student's characteristics and it helped students of poor schoolwork be interested and confident in mathematics. Third, it showed that pattern study using internet had effect on forming a habit of reason and verification in problem solving in mathematics class. Accordingly, pattern study using internet seems to have a positive effect on increasing mathematical interests and solving problems in mathematics class.

• Journal of Educational Research in Mathematics
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• v.24 no.2
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• pp.205-225
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• 2014

This study analyzed how two sixth graders recognized, generalized, and represented functional relationships in exploring geometric growing patterns. The results showed that at first the students had a tendency to solve the given problem using the picture in it, but later attempted to generalize the functional relationships in exploring subsequent items. The students also represented the patterns with their own methods, which in turn had an impact on the process of generalizing and applying the patterns to a related context. Given these results, this paper includes issues and implications on how to foster functional thinking ability at the elementary school.

• Journal of the Korean School Mathematics Society
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• v.17 no.2
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• pp.235-249
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• 2014

In this paper, teaching contents in area between Korea and Japan's first grade math textbooks are compared. Based on the results of this comparison, implications for improving our grade 1 math textbooks are obtained as follows. Firstly, when describing the configuration of two-digit numbers, it needs to be considered that, after the mathematical description of a concrete material representing two-digit numbers, then it should be processed mathematically. Secondly, with respect to the composition and decomposition of numbers, use of the expression of 'some number and some number' needs to be considered. Thirdly, when reading addition expression and subtraction expression with an equal sign, the way of reading them with terms 'sum' and 'difference' respectively needs to be reconsidered. Fourthly, use of the distinct expression for the supplementing situation and the merging situation respectively and use of the distinct expression for the removing situation and the comparing situation respectively need to be considered. Fifthly, the jump in representing the expression of subtraction of two numbers as the expression of the subtraction or mixed operation of three numbers to explain (some number)-(some number) with borrowing need to be resolved.