• Title/Summary/Keyword: GSP 작도

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Analysis on Mathematically Gifted Middle School Students' Characteristic of Mathematical Thinking and Verbal Expression in the Study of Parallel Lines in Non-Euclidean Disc Model using Dynamic Geometry Software (GSP를 사용한 비유클리드 원판모델 학습에서 나타난 중학교 수학 영재들의 평행선에 관한 인식 및 언어 표현 방식 분석)

  • Hong, Seong Kowan
    • Journal of Educational Research in Mathematics
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    • v.23 no.1
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    • pp.53-74
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    • 2013
  • The purpose of this paper is to analyze how mathematically gifted middle school students find out the necessary and sufficient condition for a certain hyperbolic line to be parallel to a given hyperbolic line in Non-Euclidean disc model (Poincar$\acute{e}$ disc model) using the Geometer's Sketchpad. We also investigated their characteristic of mathematical thinking and analyze how they express what they had observed while they did mental experiments in the Poincar$\acute{e}$ disc using computer-aided construction tools, measurement tools and inductive reasoning.

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Using DGE for Enhancing SMK and PCK of Pre-service Elementary Teachers for the Figure Problem (예비 초등교사들의 도형 문제에 대한 SMK와 PCK 강화를 위한 DGE 활용)

  • Kang, Jeong Gi;Kim, Min Jeong;Jeong, Sang Tae;Roh, Eun Hwan
    • Journal of the Korean School Mathematics Society
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    • v.17 no.2
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    • pp.139-166
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    • 2014
  • The purpose of the study is to enhance the teaching competence for pre-service elementary teacher by using DGE in order to enhance SMK and PCK for them. To do this, we investigated the initial SMK and PCK for 23 pre-service elementary teachers, the reality of implementation activity of DGE and the change of SMK and PCK after quest activity by DGE. As results, 3 pre-service elementary teachers made errors which are misunderstanding a general angle as special angle, an excessive jump of logic and a circulation logic in the aspect of an initial SMK. In the aspect of contents of PCK, most of pre-service elementary teachers proposed teaching focused on the character using in the problem solving. And most of pre-service elementary teachers proposed teaching methods which are based on explanation, measurement and material manipulation. The reality of implementation activity of DGE was classified 4 cases which are a difficulty in understanding the concept of dynamics and embodying in DGE, an obsession about construction of $75^{\circ}$ and generalization, a difficulty in interpreting 'folding activity' mathematically and a good implementation activity. After quest activity by DGE, the case which is misunderstanding a general angle as special angle could be improved, but the others are not. And after quest activity by DGE, most of pre-service elementary teachers still proposed teaching focused on the character using in the problem solving in the aspect of contents of PCK, and some of pre-service elementary teachers added only teaching methods which are involving visual confirmation by GSP. From these results, we could extract some pedagogical implications helping pre-service teachers to reinforce SMK and PCK by DGE.

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The Program Development with Curve of Constant Width for the Math-Gifted in Elementary school (정폭도형을 활용한 초등수학영재 프로그램 개발 및 적용 결과 분석 연구)

  • Baek, Kyung Hwa;Cho, Youngmi
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.201-217
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    • 2013
  • This study intends to develop and apply elementary mathematics program for gifted students based on a 'constant width shape' in order to keep pace with the STEAM education which is becoming the main issue and therefore, it set up research subject as follows; To introduce constant width shapes through 'a circle' which is a constant width shape under present education process and based on this, to search a theory about constant width shapes and reuleaux triangles. To arrange an elementary mathematics program for gifted students according to the part 3 enrichment study model of Renzulli. To revise supplement the program on the basis of field application result twice and then to materialize the program. It is expected that the developed program and study data will suggest mathematical ideas and direction of materials development in education sites of elementary mathematics program for gifted students.

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A Study on The Interference between Global Navigation Satellite Systems (위성항법 시스템 간 간섭 영향에 관한 연구)

  • Kim, Jeong-Been;Kim, Jae-Kil;Lee, Sung-Yoon;Lee, Je-Won;Kim, Kap-Jin;Song, Ki-Won;Ahn, Jae-Min
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.37 no.6C
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    • pp.512-519
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    • 2012
  • To design a new Navigation Satellite System signal, we should analyze the influence of inter-system interference to existing Global Navigation Satellite Systems(GNSS). Various GNSS systems such as GSP, GALILEO, Compass use same frequence band and incur inter-system interference due to the overlapping spectrums. In this paper, we consider L2 Band for new Navigation Satellite System and propose the BOCcos(15,2.5) signal what has least Spectral Separation Coefficient with GPS L2 system. Assuming 4 stationary satellite over Korea, we simulate the effect of interference. As a result, proposed system shows very small mutual interference effect and negligible effective signal to noise ratio(SNR) loss, compared to the interferences between GNSS systems in L1 Band.

An Analysis of Justification Process in the Proofs by Mathematically Gifted Elementary Students (수학 영재 교육 대상 학생의 기하 인지 수준과 증명 정당화 특성 분석)

  • Kim, Ji-Young;Park, Man-Goo
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.13-26
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    • 2011
  • The purpose of this research is to analyze geometrical level and the justification process in the proofs of construction by mathematically gifted elementary students. Justification is one of crucial aspect in geometry learning. However, justification is considered as a difficult domain in geometry due to overemphasizing deductive justification. Therefore, researchers used construction with which the students could reveal their justification processes. We also investigated geometrical thought of the mathematically gifted students based on van Hieles's Theory. We analyzed intellectual of the justification process in geometric construction by the mathematically gifted students. 18 mathematically gifted students showed their justification processes when they were explaining their mathematical reasoning in construction. Also, students used the GSP program in some lessons and at home and tested students' geometric levels using the van Hieles's theory. However, we used pencil and paper worksheets for the analyses. The findings show that the levels of van Hieles's geometric thinking of the most gifted students were on from 2 to 3. In the process of justification, they used cut and paste strategies and also used concrete numbers and recalled the previous learning experience. Most of them did not show original ideas of justification during their proofs. We need to use a more sophisticative tasks and approaches so that we can lead gifted students to produce a more creative thinking.

Design of an 1.8V 6-bit 2GSPS CMOS ADC with an One-Zero Detecting Encoder and Buffered Reference (One-Zero 감지기와 버퍼드 기준 저항열을 가진 1.8V 6-bit 2GSPS CMOS ADC 설계)

  • Park Yu Jin;Hwang Sang Hoon;Song Min Kyu
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.42 no.6 s.336
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    • pp.1-8
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    • 2005
  • In this paper, CMOS A/D converter with 6bit 2GSPS Nyquist input at 1.8V is designed. In order to obtain the resolution of 6bit and the character of high-speed operation, we present an Interpolation type architecture. In order to overcome the problems of high speed operation, a novel One-zero Detecting Encoder, a circuit to reduce the Reference Fluctuation, an Averaging Resistor and a Track & Hold, a novel Buffered Reference for the improved SNR are proposed. The proposed ADC is based on 0.18um 1-poly 3-metal N-well CMOS technology, and it consumes 145mW at 1.8V power supply and occupies chip area of 977um $\times$ 1040um. Experimental result show that SNDR is 36.25 dB when sampling frequency is 2GHz and INL/DNL is $\pm$0.5LSB at static performance.