• Title, Summary, Keyword: Group Proof

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The Effects of Inductive Activities Using GeoGebra on the Proof Abilities and Attitudes of Mathematically Gifted Elementary Students (GeoGebra를 활용한 귀납활동이 초등수학영재의 증명능력 및 증명학습태도에 미치는 영향)

  • Kwon, Yoon Shin;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.123-145
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    • 2013
  • This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

A Tag Response Loss Detection Scheme for RFID Group Proof (RFID 그룹증명을 위한 응답손실 감지기법)

  • Ham, Hyoungmin
    • The Journal of the Korea Contents Association
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    • v.19 no.9
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    • pp.637-645
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    • 2019
  • The RFID group proof is an extension of the yoking proof proving that multiple tags are scanned by a reader simultaneously. Existing group proof schemes provide only delayed tag loss detection which detects loss of tag response in a verification phase. However, delayed tag loss detection is not suitable for real-time applications where tag loss must be detected immediately. In this study, I propose a tag response loss detection scheme which detects loss of tag response in the proof generation process quickly. In the proposed scheme, the tag responds with the sequence number assigned to the tag group, and the reader detects the loss of the tag response through the sequence number. Through an experiment for indistinguishability, I show that the sequence number is secure against an analyzing message attack to distinguish between specific tags and tag groups. In terms of efficiency, the proposed scheme requires fewer transmissions and database operations than existing techniques to determine which tags response is lost.

A Study on the Comfortable Pesticide-Proof Clothes (농약방제복 개발에 관한 연구)

  • Choi Jeong Wha;Kim Hyun Sik;Jeong Yong Ok
    • Journal of the Korean Society of Clothing and Textiles
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    • v.11 no.2
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    • pp.91-100
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    • 1987
  • To develop the comfortable pesticid-proof clothes, wearing trials for 7 types of existing pesticide-proof clothes were done measuring skin temperature, pulse rate, humidity and temperature of inside clothing and subjective feeling such as thermal, humid and comfort sensations at $28{\pm}1^{\circ}C$, $75{\pm}5\%$ RH, 2.3 m/sec wind speed. (Experiment 1). On the base of above results, wearing trials of 6 types of new pesticide-proof clothes and 3 types of pesticide-proof clothes as control group were done with the same method as experiment 1. (Experiment 2). The results obtained were as follows 1. Heat stress was lower in newly designed pesticide-proof clothes with mesh running shirts. 2. For the body temperature regulation, it was confirmed that 6 types of new pesticide-proof clothes made of microporous fabric were better than the others.

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A Study on Persuasion Effects of Online Cosmetic Advertising -Focused on Types of Social Proof Message and Product- (온라인 화장품 광고의 소비자 설득효과에 관한 연구 -사회증거 메시지 유형과 제품유형을 중심으로-)

  • Park, Hyun-Hee;Li, Qin;Jeon, Jung-Ok
    • Fashion & Textile Research Journal
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    • v.12 no.6
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    • pp.755-763
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    • 2010
  • This study was intended to identify the persuasion effects according to social proof message type and product type in the context of online cosmetic advertising. For the experiment, 4 stimuli were developed as experimental stimuli for the 2(social proof message type: attitudinal social proof message, behavioral social proof message)${\times}$2(product type: hedonic product, utilitarian product) factorial design. A total of 160 questionnaires allocating forty students to each group were distributed. The results were as follows. First, behavioral social proof message showed more effective than attitudinal social proof message in advertisement attention, click-through intention and purchase intention. Second, utilitarian product showed more effective than hedonic product in advertisement attention, click-through intention and purchase intention. Third, there was interaction effect according to social proof message type and product type on the aspect of click-through intention.

Absorption Characteristics of Sound Proof Wall by Scrap Aluminum and Perforated Plate (알루미늄칩과 타공판을 이용한 방음벽 충진재의 흡음특성)

  • Lee, Young-Jung;Kim, Dae-Gun;Park, Kyung-Hwa;Kim, Young-Do
    • Korean Journal of Materials Research
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    • v.19 no.7
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    • pp.382-385
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    • 2009
  • Efforts to reduce noise in industrial application fields, such as automobiles, aircrafts, and plants have been gaining considerable attention while a sound proof wall to protect people from the noise has been intensively investigated by many researchers. In this study, our research group suggested creating a new sound proof wall composed of scrap aluminum chips and perforated plates in a commercial polyester sound proof wall, which was then successfully fabricated. This wall's sound absorption characteristics were measured by an impedance tube method. The sound absorption property was evaluated by measuring the Noise Reduction Coefficient (NRC) to the standard, ASTM C 423-90a. The noise reduction coefficient of the sound proof wall composed of 3.5 vol.% and 7.5 vol.% of scrap aluminum chips relatively increased to 5% and 8% compared to the commercial polyester sound proof wall. The scrap aluminum perforated plate also relatively increased to 13% compared to the commercial polyester sound proof wall.

ANOTHER PROOF THAT Aγ(G) AND A(G) ARE BANACH ALGEBRAS

  • Lee, Hun Hee
    • Journal of the Chungcheong Mathematical Society
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    • v.24 no.2
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    • pp.337-344
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    • 2011
  • We provide another unified proof that $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are Banach algebras for a compact group G, where $A_{\gamma}(G)$ and $A_{\Delta}(G)$ are images of the convolution and the twisted convolution, respectively, on $A(G{\times}G)$. Our new approach heavily depends on analysis of co-multiplication on VN(G), the group von-Neumann algebra of G.

ON CONJUGACY OF p-GONAL AUTOMORPHISMS

  • Hidalgo, Ruben A.
    • Bulletin of the Korean Mathematical Society
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    • v.49 no.2
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    • pp.411-415
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    • 2012
  • In 1995 it was proved by Gonz$\acute{a}$lez-Diez that the cyclic group generated by a p-gonal automorphism of a closed Riemann surface of genus at least two is unique up to conjugation in the full group of conformal automorphisms. Later, in 2008, Gromadzki provided a different and shorter proof of the same fact using the Castelnuovo-Severi theorem. In this paper we provide another proof which is shorter and is just a simple use of Sylow's theorem together with the Castelnuovo-Severi theorem. This method permits to obtain that the cyclic group generated by a conformal automorphism of order p of a handlebody with a Kleinian structure and quotient the three-ball is unique up to conjugation in the full group of conformal automorphisms.

FRACTIONAL INTEGRAL ALONG HOMOGENEOUS CURVES IN THE HEISENBERG GROUP

  • KIM JOONIL
    • Journal of the Korean Mathematical Society
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    • v.42 no.3
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    • pp.499-516
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    • 2005
  • We obtain the type set for the fractional integral operator along the curve $(t,t^2,\;{\alpha}t^3)$ on the three dimensional Heisenberg group when $\alpha\neq{\pm}1/6$. The proof is based on the Fourier inversion formula and the angular Littlewood-Paley decompositions in the Heisenberg group in [5].

How Could a Proof Be Constructed into a Narrative? Focused on Function Translations (증명이 어떻게 내러티브가 될 수 있는가? -함수의 평행이동에 대한 사례연구-)

  • Lee, Ji-Hyun;Lee, Gi-Don;Lee, Gyu-Hee;Kim, Gun-Uk;Choi, Young-Gi
    • School Mathematics
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    • v.14 no.3
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    • pp.297-313
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    • 2012
  • The purpose of this paper is to discuss the potential and to examine the effect of narrative, as an alternative approach to teach formal proof in more easier and comprehensible way. Identifying the key elements of narrative in proof, we constructed a narrative that derives the equation of function translation. We examined the effect of teaching through the narrative, in comparison with teaching the corresponding proof, on low-achieving students' instrumental understanding and relational understanding of function translation. Since we found no statistically significant differences between the experimental and the comparison group, this study could not conclude that teaching through the narrative was more effective than teaching the corresponding proof. But there were some qualitative differences in the relational understanding responses and the evaluation of the teaching between two groups. These findings suggested some potential of narratives that complement the formal proof.

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