• Title/Summary/Keyword: multiplication patterns

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Making Sense of Drawn Models for Operations of Fractions Involving Mixed Numbers

  • Noh, Jihwa
    • East Asian mathematical journal
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    • v.34 no.2
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    • pp.203-217
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    • 2018
  • This study examined preservice elementary teachers' patterns and tendencies in thinking of drawn models of multiplication with fractions. In particular, it investigated preservice elementary teachers' work in a context where they were asked to select among drawn models for symbolic expressions illustrating multiplication with non-whole number fractions including a mixed number. Preservice teachers' interpretations of fraction multiplication used in interpreting different types of drawn models were analysed-both quantitatively and qualitatively. Findings and implications are discussed and further research is suggested.

Teachers' Decision and Enactment of Their Content Knowledge Assessed Through Problem Posing - A U.S. Case (문제 만들기를 통해 알아본 교사의 내용지식 사용에 대한 결정과 수행 - 미국 사례를 중심으로)

  • Noh, Jihwa
    • Communications of Mathematical Education
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    • v.31 no.2
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    • pp.153-166
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    • 2017
  • 164 preservice elementary teachers' decision and enactment of their knowledge of fraction multiplication were examined in a context where they were asked to write a story problem for a multiplication problem with two proper fractions. Participants were selected from an entry level course and an exit level course of their teacher preparation program to reveal any differences between the groups as well as any recognizable patterns within each group and overall. Patterns and tendencies in writing story problems were identified and analyzed. Implications of the findings for teaching and teacher education are discussed.

Influence of Holding Methods and Times on Recovery of Salmonella Typhimurium in Simmered Pork and Ham at Cucumber Salad Served at Foodservice Institutions (급식소에서 제공되는 돼지고기 장조림과 햄ㆍ오이샐러드의 조리 후 보관방법 및 시간이 살모넬라(Salmonella typhimurium) 식중독균의 생존에 미치는 영향)

  • 고성희;김지영
    • Korean journal of food and cookery science
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    • v.20 no.4
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    • pp.352-357
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    • 2004
  • This study was performed to predict the multiplication growth patterns of Salmonella typhimurium according to the holding methods and times in cooked foods served at foodservice institutions. When simmered pork in soy sauce and ham and cucumber salad were inoculated with S. typhimurium (7.00 logCFU/g) and tested according to holding methods and times, room temperature holding showed a continuous increase in S. typhimurium count as time passed, whereas 80$^{\circ}C$ heating table sharply reduced the count to 4.00 (logCFU/g) after 2hrs of holding and to zero after 6hrs, which suggested that all S. typhimurium were destroyed. However, 5$^{\circ}C$ refrigerator holding showed a count increase, although it wasis still lower than that at room temperature and at 10$^{\circ}C$ cold table holding, which suggested that S. typhimurium is comparatively resistive to low temperature.

An Analysis of Error Treatment in Multiplication Using Reflective Activities (반성적 활동을 통한 곱셈의 오류 처치 행동 분석)

  • Na, Yunji;Park, Mangoo
    • Education of Primary School Mathematics
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    • v.22 no.4
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    • pp.281-294
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    • 2019
  • The purpose of this study is to analyze errors and treatment behavior during the course of mathematics learning of academic achievement by applying reflective activities in the second semester of the third year of elementary school. The study participants are students from two classes, 21 from the third-grade S elementary school in Seoul and 20 from the comparative class. In the case of the experiment group, the multiplication unit was reconstructed into a mathematics class that applied reflective activities. They were pre-post-test to examine the changes in students' mathematics performance, and mathematical communication was recorded and analyzed for the focus group to analyze the patterns of learners' error handling in the reflective activities. In addition, they recorded and analyzed students' activities and conversations for error type and error handling. As a result of the study, the student's mathematics achievement was increased using reflective activities. When learning double digit multiplication, the error types varied. It was also confirmed that the reflective activities helped learners reflect on the multiplication algorithm and analyze the error-ridden calculations to reflect on and deal with their errors.

Calculation of Radiation Patterns of Planar Array Antennas of Rectangular Waveguides Loaded by Dielectric Plug and Sheath (유전체 마개와 덮개가 부착된 구형 도파관의 평면 배열 안테나의 복사패턴 계산)

  • 김세윤;하헌태
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.29A no.9
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    • pp.8-14
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    • 1992
  • The radiation pattern of a rectangular-grid array antenna consisted of rectangular waveguides is represented by multiplication of its element and array factors. Calculated radiation patterns for excitation of TES110T mode inside the waveguides suffer from the blindness at a particular direction on E-plane. Numerical simulations show that the blindness can be removed by inserting dielectric plug inside the waveguides or covering dielectric sheath in front of the waveguides.

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Investigation of Geoboards in Elementary Mathematics Education (초등수학에서 기하판 활용방안 탐색)

  • 김민경
    • Education of Primary School Mathematics
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    • v.5 no.2
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    • pp.111-119
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    • 2001
  • Over the years, the benefits of instructional manipulatives in mathematics education have been verified by classroom practice and educational research. The purpose of this paper is to introduce how the instructional material, specifically, geoboard could be used and integrated in elementary mathematics classroom in order to develop student's mathematical concepts and process in terms of the following areas: (1) Number '||'&'||' Operation : counting, fraction '||'&'||' additio $n_traction/multiplication (2) Geometry : geometric concepts (3) Geometry : symmetry '||'&'||' motion (4) Measurement : area '||'&'||' perimeter (5) Probability '||'&'||' Statistics : table '||'&'||' graph (6) Pattern : finding patterns Further, future study will continue to foster how manipulatives will enhance children's mathematics knowledge and influence on their mathematics performance.

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Development of Image Processing Technique for Photoelastic Fringe Analysis (광탄성 프린지해석을 위한 영상처리기법 개발)

  • 백태현;이재춘
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.10
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    • pp.2577-2584
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    • 1994
  • A method of digital image processing thechnique, which can multiply and sharpen isochromatic fringes in photoelasticity on both occasions, is developed. To test the method, photoelastic fringe patterns of a disk compressed by two diametrically opposite cocentrated loads are simulated and these patterns are processed to yield sharpened lines. The method is then aplied to measurement of residual stresses in glass bar. The procedure is proved to be capable of extraction sharpened lines accurately from photoelastic multiplied fringes, and yields good experimental results consistently and precisely.

Influence of Packaging Methods and Storage Conditions on Recovery of Inoculated Foodborne Pathogens in Home-Delivered Meals (가정배달급식의 포장방법 및 저장조건이 식중독균의 생존에 미치는 영향)

  • Kim, Heh-Young;Ryu, Si-Hyun;Park, Seog-Gee
    • Korean Journal of Food Science and Technology
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    • v.35 no.3
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    • pp.429-435
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    • 2003
  • The purpose of this study is to predict multiplication patterns of foodborne pathogens according to packaging methods and storage conditions in home-delivered meals. Pan fried oak mushroom and meat, soy sauce glazed hair tail and roasted dodok which inoculated $10^6\;CFU/g$ of foodborne pathogens were packaged by wrap packaging, top sealing, vacuum packaging and stored at 25, 4 and $-18^{\circ}C$ during 5 days. The result of study was revealed that the growth and multiplication pattern of the inoculated foodborne pathogens was inhibited in chilling and freezing storage after vacuum packaging, and was significantly influenced by storage temperature. The survival of Listeria monocytogenes was also significantly influenced by storage period. The effective method to preserve the bacteriologic safety of pan fried oak mushroom and meat and soy sauce glazed hair tail in home-delivered meals was stored for maximum three days in chilling storage after vacuum packaging.

Sensitivity Analysis of Core Neutronic Parameters in Electron Accelerator-driven Subcritical Advanced Liquid Metal Reactor

  • Ebrahimkhani, Marziye;Hassanzadeh, Mostafa;Feghhi, Sayed Amier Hossian;Masti, Darush
    • Nuclear Engineering and Technology
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    • v.48 no.1
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    • pp.55-63
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    • 2016
  • Calculation of the core neutronic parameters is one of the key components in all nuclear reactors. In this research, the energy spectrum and spatial distribution of the neutron flux in a uranium target have been calculated. In addition, sensitivity of the core neutronic parameters in accelerator-driven subcritical advanced liquid metal reactors, such as electron beam energy ($E_e$) and source multiplication coefficient ($k_s$), has been investigated. A Monte Carlo code (MCNPX_2.6) has been used to calculate neutronic parameters such as effective multiplication coefficient ($k_{eff}$), net neutron multiplication (M), neutron yield ($Y_{n/e}$), energy constant gain ($G_0$), energy gain (G), importance of neutron source (${\varphi}^*$), axial and radial distributions of neutron flux, and power peaking factor ($P_{max}/P_{ave}$) in two axial and radial directions of the reactor core for four fuel loading patterns. According to the results, safety margin and accelerator current ($I_e$) have been decreased in the highest case of $k_s$, but G and ${\varphi}^*$ have increased by 88.9% and 21.6%, respectively. In addition, for LP1 loading pattern, with increasing $E_e$ from 100 MeV up to 1 GeV, $Y_{n/e}$ and G improved by 91.09% and 10.21%, and $I_e$ and $P_{acc}$ decreased by 91.05% and 10.57%, respectively. The results indicate that placement of the Np-Pu assemblies on the periphery allows for a consistent $k_{eff}$ because the Np-Pu assemblies experience less burn-up.

Bacterial Multiplications and Electrophoretic Patterns of Soluble Proteins in Compatible and Incompatible Interactions of Pepper Leaves with Xanthomonas campestirs pv. vesicatoria (Xanthomonas campestris pv. vesicatoria에 감염된 고추잎의 친화적, 불친화적 반응에서 세균증식과 수용성 단백질의 전기영동 패턴)

  • 이연경;김영진;황병국
    • Korean Journal Plant Pathology
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    • v.10 no.4
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    • pp.305-313
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    • 1994
  • Typically susceptible lesions were developed on pepper (cv. Hanbyul) leaves inoculated with the compatible strains Ds 1 of Xanthomonas campestris pv. vesicatoria. The lesions appeared first water-soaked and then turned yellow with a chlorotic area. In contrast, the leaves inoculated with the incompatible strain 81-23 initially turned yellow and then developed local necrosis. Multiplication of x. c. pv. vesicatoria in pepper leaves also were distinctly different between the two strains. The strain Ds 1 multiplied more greatly than did the strain 81-23 in the infected leaves. X. c. pv. vesicatoria infection of pepper leaves induced the synthesis of soluble proteins, especially more greatly in the compatible than in the incompatible interactions. Some pathogenesis-related (PR) proteins were detected in the intercellular washing fluid (IWF) and extracts of the infected pepper leaves. In particular, the 32 kDa protein on SDS-PAGE gels appeared intensely in the incompatible interaction. In contrast, some proteins with moluecular masses of 65, 71, and 75 kDa disappeared in the infected pepper leaves. Isoelectric focusing could identify the pIs of soluble proteins in infected pepper leaves. The accumulation of the IWF from infected leaves was more conspicuous in the incompatible than the compatible interaction. These results suggest that some extremely acidic and basic proteins were induced and accumulated in the intercellular spaces of infected pepper leaves.

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