• Journal of Educational Research in Mathematics
• /
• v.22 no.3
• /
• pp.353-370
• /
• 2012

Since the 7th revision of national mathematics curriculum, it has been recommended that the concept of function be introduced based on the dependent relation between variables. The 2009 revision of national mathematics curriculum shares this way of conceptualizing function. In this context, this study analyzes the effect of this revision of the mathematics curriculum on middle school students' conceptualization of function. To be specific, this study investigates the characteristics of students' conceptualization of function through task-based in-depth interviews. It also investigates how teachers introduce function through interview. The analysis show that the middle school students had a lack of understanding about dependent relation in function. The teachers also had difficulties in teaching concept of function based on dependent relation. In the conclusion, this study makes some suggestions for teaching the function in middle school classes.

• Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
• /
• 2009.04a
• /
• pp.15-17
• /
• 2009

The line simplification method based on the turning function is studied in this paper for conversion of ground plan data to geospatial data to update the digital map. This method eliminate vertices effectively by estimating the length and the angle between the vertices based on the turning function which is useful to express the shape of linear feature. As the result, this method shows high shape similarity, high elimination rate of vertices and 100% of satisfaction degree to the drawing rules. Thus this line simplification method is judged to be effective in updating the digital map with ground plans.

• School Mathematics
• /
• v.11 no.1
• /
• pp.131-145
• /
• 2009

This research was designed to investigate the possibility to teach function concept and graph representation of functions in explicit manner toward at elementary level. Eight class-hours instruction was given to four Grade 5(age 11) students, and dynamic geometry software GSP was partially used in the class. Results indicate that the students could conceptualize the function relation, interpret linear function graphs, recognize the meaning of their slopes, and discuss the relationships among linear graphs and real life situation. Results also indicate that GSP helped students to recognize the relation between dots and the linear graph clearly and that GSP-line graph did decisive role for children to understand the meaning of graph representation of function.

• The Journal of Korean Institute of Communications and Information Sciences
• /
• v.38A no.8
• /
• pp.629-637
• /
• 2013

Chaos communication systems have the characteristics such as non-periodic, wide-band, non-predictability of signals and easy implementation. There have been many studies about chaos communication systems because of these advantages. But, chaos communication systems have low BER(Bit Error Rate) compare to general digital communication system. Existing researches on chaos communication systems only analyze BER performance according to various chaos maps. There are no studies on analysis of BER performance according to PDF(Probability Density Function) of chaos maps. In this paper, we analyze the BER performance according to changing parameter, equation, and initial values of chaos map's PDF. In addition, we propose new chaos map to improve BER performance. Simulation results show that BER performance of CDSK(Correlation Delay Shift Keying) is changed when PDF of chaos map changed. And the proposed chaos map has a better BER performance compare to previous chaos maps such as Tent map, Logistic map, and Henon map.

• Communications of Mathematical Education
• /
• v.25 no.1
• /
• pp.63-78
• /
• 2011

The purpose of this study is to explore a teaching method of limits of functions with more intuitive and visual of CAS graphing calculators rather than with the rigorous ${\epsilon}-{\delta}$ method. Texas Instruments Voyage200 CAS graphing calculators are used for studying the possibility of the use of technology in calculus course. For this, various related theoretical constructs are reviewed: concept image, concept definition, cognitive conflict, the use of visualization of technology for calculus concepts, the theory of APOS, and local straightness. Based on such theoretical constructs this study suggests a teaching method of limits of functions with embodied visualization of CAS graphing calculators.

• Communications of Mathematical Education
• /
• v.22 no.3
• /
• pp.289-310
• /
• 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 Educational Research in Mathematics
• /
• v.26 no.4
• /
• pp.769-789
• /
• 2016

Pattern activities are useful to develop functional thinking of young students, but there has been lack of research on how to teach patterns. This study explored teaching methods of geometric patterns for developing functional thinking of elementary school students, and then analyzed the lessons in which such methods were implemented. For this, three classrooms of fourth grades in elementary schools were selected and three teachers taught geometric patterns on the basis of the same lesson plan. The lessons emphasized noticing the commonality of a given pattern, expanding the noti ce for the commonality, and representing the commonality. The results of this study showed that experience of analyzing the structure of a geometric pattern had a significant impact on how the fourth graders reasoned about the generalized rules of the given pattern and represented them in various methods. This paper closes with several implications to teach geometric patterns in a way to foster functional thinking.

• Communications of Mathematical Education
• /
• v.5
• /
• pp.247-265
• /
• 1997

• The Mathematical Education
• /
• v.20 no.2
• /
• pp.21-26
• /
• 1982

• Proceedings of the KAIS Fall Conference
• /
• 2007.05a
• /
• pp.279-282
• /
• 2007

본 연구의 목적은 조정을 거친 수치지도를 이용하여 3차원 도시공간모델을 생성하는 자동제작기를 제안하는 것이다. 일반적인 디지털 도시공간모탤 제작방식에 대해 분석하여 3차원 도시공간모델 제작에 필요한 소요정보 및 공간제작함수(기능, Method} 등을 추출한다. 수치지도에서 3차원 도시공간모델 제작에 필요한 정보를 추출하고 이런 정보들을 가공하여 모텔제작에 사용가능한 정보로 바꾸어 준다. 또한 수치지도를 이용하여 3차원 모델을 제작할 때 사용자가 필요로 하는 부가정보들을 수동으로 입력할 수 있도록 한다. 수치지도에서 얻는 정보에 공간제작함수를 적용해서 3차원 모텔을 제작한다. 수치지도가 2차원지도로만 활용되고 있는 현실이며 수치지도의 다양한 3차원 정보를 이용한 3차원 도시 공간모델 자동제작을 제안함으로써 재래식 모델제작에 필요했던 대량의 시간과 노동력을 절감할 것이고 또한 제작된 도시공간모텔은 건축이나 도시설계분야에서 보다 경제적이고 보다 쉽게 활용될 수 있을 것이라고 기대된다.