• Communications of Mathematical Education
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• v.22 no.3
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• pp.289-310
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• 2008

The purpose of study is to propose the possibilities of finding trigonometric function values using trigonometric function graphs instead of the unit circle method. And it is to discuss how to enhance relating trigonometric function value finding to graphs construction, and students conceptual understanding of the properties of trigonometric functions. The conclusions of this study are the effectiveness of function value finding using trigonometric function graphs, the use of a precise term of function value finding given general angles, consideration of a link between function value finding and graphs, and the possibility of teaching trigonometric function graphs in advance of function value finding.

• Journal of the Korean School Mathematics Society
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• v.6 no.1
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• pp.101-113
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• 2003

The purpose of this study is to analyze students misunderstood types relate to trigonometric function and to devise its teaching method using GSP. To do this, we performed several steps as followings: First, we performed questionnaire survey to 70 students belong to second year at high school to find students comprehension degree about radian angle representation and trigonometric function graph. Second, we devised the teaching-learning materials relate to trigonometric function graph using GSP. And then, we used them in the class of 35 students who are at the time to learn trigonometric function in the first year at high school. Third, we conducted Questionnaire survey to students studied through teaching and learning materials using GSP. As a result of doing the survey, we found that general students were interested in the class using GSP and they could also operate computer without difficulty.

• Communications of Mathematical Education
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• v.18 no.2 s.19
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• pp.187-208
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• 2004

삼각비 단원에 대한 학습 결손은 나아가 공통수학 삼각함수 단원에 대한 선수학습 결손으로써 학습의욕의 상실, 자기 열등감, 삼각함수 단원에 대한 지속적인 학습결손의 누적으로 이어진다. 실제로 고등학교 1학년 학생들의 삼각함수를 학습할 때 삼각비에 대한 기초가 부족한 것에 영향을 받아 지적인 측면은 물론이고 정의적 측면에서도 기초가 부족하다는 부정적 자아개념을 가지고 출발하게 되어 이후 학습에 많은 어려움을 겪고 있다. 이에 본 연구에서는 중학교 9-나의 삼각비 단원과 고등학교 공통수학의 삼각함수 단원에 대한 중 ${\cdot}$ 고등학교 교사 및 학생들의 인식과 교수 ${\cdot}$ 학습 실태를 알아보고, 수학의 계통성을 고려하여 올바른 교육과정을 모색하는데 그 목적이 있다.

• Proceedings of the Korean Society of Computer Information Conference
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• 2011.06a
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• pp.315-316
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• 2011

수학 함수 중에서 삼각함수는 그 활용도가 매우 높아서 아주 많이 사용되는 함수 중 하나이다. 직각 삼각형의 직각이 아닌 한 각의 크기를 a라 하면, 이 삼각형의 임의의 두 변의 길이의 비는 이 각 a의 크기에 의하여 결정되므로 이 비를 이각의 삼각 함수라 하였다. 즉, 삼각함수는 직각삼각형에서 한 각의 크기가 일정하면, 이들 변의 비의 값은 삼각형의 크기에는 관계없이 일정하다는 가장 단순하고 독특한 성질에 기초를 둔 학문이다. 어떠한 대상체의 높이는 직삼각형의 밑변의 길이와 건물을 올려다본 각이 있다면 삼각함수를 이용하여 쉽게 구할 수 있다.

• Communications of Mathematical Education
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• v.16
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• pp.123-137
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• 2003

본 논문의 목적은 삼각함수의 학습에 테크놀로지가 기여할 수 있는 방법적인 측면과 인지적인 효과를 명시하는 것이다. 테크놀로지가 삼각함수의 학습에 기여할 수 있는 네 가지 방법론적인 면을 '수학과 학생들의 실제 경험의 연결', '수학적 대상과 수학적 관계의 구체화', '수학의 다양한 표현 체계의 연결', '사고력 중심의 수학교육 추구'의 관점에서 논한다. 이 네 가지 방법론적인 측면 중 '수학적 대상과 수학적관계의 구체화'와 '수학의 다양한 표현 체계의 연결'을 중심으로 삼각함수의 학습법을 예시하면서 이 두 가지 방법이 어떻게 인지적으로 기여하는지를 보여준다.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.607-622
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• 2014

The purpose of this paper is that it analyzes the historical development of the concept of trigonometric functions and discuss some didactical implications. The results of the study are as follows. First, the concept of trigonometric functions is developed from line segments measuring ratios to numbers representing the ratios. Geometry, arithmetic, algebra and analysis has been integrated in this process. Secondly, as a result of developing from practical calculation to theoretical function, periodicity is formalized, but 'trigonometry' is overlooked. Third, it must be taught trigonometry relationally and structurally by the principle of similarity. Fourth, the conceptual generalization of trigonometric functions must be recognized as epistemological obstacle, and it should be improved to emphasize the integration revealed in history. The results of these studies provide some useful suggestions to teaching and learning of trigonometry.

• Journal of the Korean Institute of Intelligent Systems
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• v.24 no.4
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• pp.398-402
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• 2014

A generalized trigonometric fuzzy set is a generalization of a trigonometric fuzzy number. Zadeh([7]) defines the probability of the fuzzy event using the probability. We define the normal and exponential fuzzy probability on $\mathbb{R}$ using the normal and exponential distribution, respectively, and we calculate the normal and exponential fuzzy probability for generalized trigonometric fuzzy sets.

• Communications of Mathematical Education
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• v.33 no.3
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• pp.319-334
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• 2019

In this study, using the tasks related trigonometric functions, the degree of high school students' understanding of the function concept was examined through the level of Hitt(1998). First, the degree of the students' understanding was classified by level, then the concept understanding was reclassified by the process or the object. As a result, high school students' concept understanding showed incompleteness in three stages. It was possible to know that the process in the interpretation of the graph is the main perspective, and the operation of algebraic representation is regarded as important. Based on these results, it seems necessary to study the teaching-learning method which can understand trigonometric functions from various perspectives. It seems necessary to study a lesson model that can reach function concept's understanding level 5 that maintains consistency between problem solving and representation system.

• Journal of the Korean School Mathematics Society
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• v.15 no.2
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• pp.299-316
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• 2012

In this paper, we examine high school in order to know their ability for understanding about fundamental functions, such as polynomial, trigonometric, logarithm and exponential functions which have learned from high school. The result of this study shows as follows. More than half students are not able to draw shape of given functions, except polynomial. More students do not fully understand about function properties such as domain, codomain, range, maximum and minimum value.

• Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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• 2010.10a
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• pp.641-642
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• 2010

Trigonometric functions is the study based on the most simple and unique properties of right triangle that if an angular size was settled, the value of the ratio of these sides is constant regardless of the size of the triangle. If it is the angle of right triangle with the length of the lower base and the measured angle of building, the height of the building can be obtained by using trigonometry. it is considered as a good way to gauge the height of the building as the car moves.