• Title/Summary/Keyword: counting strategies

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Counting Strategies in Radioactivity Measurement for the Monitoring and Screening (방사능 존재확인과 정량분석시 최적화된 측정시간의 결정을 위한 계측전략)

  • Seo, Kyung-Won
    • Journal of Radiation Protection and Research
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    • v.23 no.2
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    • pp.65-74
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    • 1998
  • One of the important things in low level radioactivity measurement is determination of the optimized counting time. Counting strategy has to be established, in order to count the radioactivity of the sample by condition of optimized measurement. There were three kinds of counting strategies in this report ; about fixed time, about fixed count, to compared sample, background, and reference level. The best of them was satisfied rendition to give about condition of instrument and process, as an example, efficiency of detector, counter capacity, maximum and average background count rate of counter, reference level and limit of derision and detection, etc. Therefore, we can decide the optimized counting time in the screening and monitoring. And we can save the time for courting the sample of course the data of count will be counted by optimized accuracy finally, in rountine measurement of radioactivity these strategies will be used available.

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Analysis of Second Graders' Counting an Irregular Arrangement of Three-Digit Objects (세 자리 수의 불규칙 배열 대상에 대한 초등학교 2학년의 수 세기 분석)

  • Chang, Hyewon
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.469-486
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    • 2022
  • Counting occupies a fundamental and important position in mathematical learning due to its relation to number concepts and numeral operations. In particular, counting up to large numbers is an essential learning element in that it is structural counting that includes the understanding of place values as well as the one-to-one correspondence and cardinal principles required by counting when introducing number concepts in the early stages of number learning. This study aims to derive didactical implications by investigating the possibility of and the strategies for counting large numbers that is expected to have no students' experience because it is not composed of current textbook activities. To do this, 89 second-grade elementary school students who learned the three-digit numbers and experienced group-counting and skip-counting as textbook activities were provided with questions asking how many penguins were in a picture where 260 penguins were irregularly arranged and how to count. As a result of analyzing students' responses in terms of the correct answer rate, the strategy used, and their cognitive characteristics, the incorrect answer rate was very high, and the use of decimal principles, group-counting, counting by one, and partial sum strategies were confirmed. Based on these analysis results, several didactical implications were derived, including the need to include counting up to large numbers as textbook activities.

Counting and the Development of Number Concepts (수 세기와 수 개념의 발달 유형에 관한 이론)

  • 박만구
    • Education of Primary School Mathematics
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    • v.4 no.1
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    • pp.43-49
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    • 2000
  • The purpose of this paper is to address the theory of counting and the development of number concepts. Leslie Steffe and his colleagues developed the theory of children's counting types using the teaching experiment. As the results of their research, they published two books: "Children's counting types" (Steffe, von Glasersfeld, Richards, '||'&'||' Cobb, 1983) and "Construction of arithmetic meanings and strategies" (Steffe, Cobb, & von Glasersfeld, 1988). They classified children's counting types into five categories: Perceptual Counting Stage, Figural Counting Stages, Initial Number Sequence Stage, Tacitly Nested Number Sequence Stage, and Explicitly Nested Number Sequence Stage. The meaning of this theory is added in the last part of this paper. this paper.

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A Study of Counting Ability of Mathematical Low Achievers in Low Grades of Elementary School (초등학교 저학년 수학부진아의 수세기 능력 연구)

  • Kim, Soo-Mi
    • School Mathematics
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    • v.12 no.2
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    • pp.137-150
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    • 2010
  • This study has planned to understand the counting ability of mathematical low achievers(MLAs) in low grades of elementary school. For this, four MLAs of second graders were chosen as a experimental group and four MLAs of fourth graders and two mid-achievers of second grades were chosen as a comparison group. Every students were individually interviewed and their data were analyzed with three respects: accuracy, speed, efficiency. The results are the following three. First, the experimental group is still not used to counting. They counted slowly, made many mistakes and errors, and used inefficient strategies during counting. Second, It is hard to expect natural improvement of their counting performance as growing up. Finally, the explicit correlation between counting ability and arithmetic ability is not drown in this study, but the possibility still remains. These results tell us that we need to stress counting activity to MLAs when they are low graders.

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A Study on the Strategies of Addition in the 1st Year Elementary School Students (학교수학과 어린이의 수학 지식에 대한 고찰 - 초등학교 1학년 덧셈을 중심으로 -)

  • 김연;박만구
    • Journal of the Korean School Mathematics Society
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    • v.7 no.1
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    • pp.83-102
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    • 2004
  • The purpose of this study was to investigate addition strategies of the 1st year elementary school students compared to the strategies recommended by the 7th national curriculum. We used interviewed children's worksheets to analyze the children's strategies. The results of the study showed that the formal strategies the textbook recommended and the children's strategies were so different. Teachers need to articulately comment two strategies when they teach mathematics in the classrooms.

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Evaluation of a Parent Training Program for Promoting Filipino Young Children's Number Sense with Number Card Games

  • Cheung, Sum Kwing;McBride-Chang, Catherine
    • Child Studies in Asia-Pacific Contexts
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    • v.5 no.1
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    • pp.39-49
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    • 2015
  • Not all parents are skilled in scaffolding their young children's numeracy learning. The present study investigated the effectiveness of a parent training program in promoting Filipino young children's number sense via card game playing at home. Participants were 161 young children and their parents; families were of a relatively low socioeconomic status. During the 10-week intervention period, parents in the experimental group received training on how to use number game cards to help their children acquire various numeracy concepts; parents in the control group received no special instructions. Children in the experimental group showed greater improvements in their performance on six number sense tasks (namely numeral identification, object counting, rote counting, missing number, numerical magnitude comparison, and addition) over the intervention period than did children in the control group. Findings of the present study suggest that providing simple training to parents on strategies for fostering their young children's number sense at home is important for giving children a good early start in basic number knowledge.

Analysis and Evaluation of Frequent Pattern Mining Technique based on Landmark Window (랜드마크 윈도우 기반의 빈발 패턴 마이닝 기법의 분석 및 성능평가)

  • Pyun, Gwangbum;Yun, Unil
    • Journal of Internet Computing and Services
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    • v.15 no.3
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    • pp.101-107
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    • 2014
  • With the development of online service, recent forms of databases have been changed from static database structures to dynamic stream database structures. Previous data mining techniques have been used as tools of decision making such as establishment of marketing strategies and DNA analyses. However, the capability to analyze real-time data more quickly is necessary in the recent interesting areas such as sensor network, robotics, and artificial intelligence. Landmark window-based frequent pattern mining, one of the stream mining approaches, performs mining operations with respect to parts of databases or each transaction of them, instead of all the data. In this paper, we analyze and evaluate the techniques of the well-known landmark window-based frequent pattern mining algorithms, called Lossy counting and hMiner. When Lossy counting mines frequent patterns from a set of new transactions, it performs union operations between the previous and current mining results. hMiner, which is a state-of-the-art algorithm based on the landmark window model, conducts mining operations whenever a new transaction occurs. Since hMiner extracts frequent patterns as soon as a new transaction is entered, we can obtain the latest mining results reflecting real-time information. For this reason, such algorithms are also called online mining approaches. We evaluate and compare the performance of the primitive algorithm, Lossy counting and the latest one, hMiner. As the criteria of our performance analysis, we first consider algorithms' total runtime and average processing time per transaction. In addition, to compare the efficiency of storage structures between them, their maximum memory usage is also evaluated. Lastly, we show how stably the two algorithms conduct their mining works with respect to the databases that feature gradually increasing items. With respect to the evaluation results of mining time and transaction processing, hMiner has higher speed than that of Lossy counting. Since hMiner stores candidate frequent patterns in a hash method, it can directly access candidate frequent patterns. Meanwhile, Lossy counting stores them in a lattice manner; thus, it has to search for multiple nodes in order to access the candidate frequent patterns. On the other hand, hMiner shows worse performance than that of Lossy counting in terms of maximum memory usage. hMiner should have all of the information for candidate frequent patterns to store them to hash's buckets, while Lossy counting stores them, reducing their information by using the lattice method. Since the storage of Lossy counting can share items concurrently included in multiple patterns, its memory usage is more efficient than that of hMiner. However, hMiner presents better efficiency than that of Lossy counting with respect to scalability evaluation due to the following reasons. If the number of items is increased, shared items are decreased in contrast; thereby, Lossy counting's memory efficiency is weakened. Furthermore, if the number of transactions becomes higher, its pruning effect becomes worse. From the experimental results, we can determine that the landmark window-based frequent pattern mining algorithms are suitable for real-time systems although they require a significant amount of memory. Hence, we need to improve their data structures more efficiently in order to utilize them additionally in resource-constrained environments such as WSN(Wireless sensor network).

Minimum Detectable Radioactivity Concentration of Atmospheric Particulate Measurement System for Nuclear Test Monitoring (핵활동 감시를 위한 대기 입자 측정시스템의 최소검출 방사능 농도 결정)

  • Kim, Jong-Soo;Yoon, Suk-Chul;Shin, Jang-Soo;Kwack, Eun-Ho;Choi, Jong-Seo
    • Journal of Radiation Protection and Research
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    • v.22 no.2
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    • pp.111-117
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    • 1997
  • Recently, the conclusion of Comprehensive Test Ban Treaty(CTBT) is globally constructing a network system for nuclear test monitoring. The radionuclide experts of the Conference on Disarmament recommended that the detection of nuclear debris in the atmosphere was an essential factor of nuclear test monitoring and proposed the technical requirements. Based on those requirements, atmospheric radionuclide monitoring system to detect nuclear debris generated from the nuclear explosion test was composed. The system is comprised of high volume air sampler(HVAS), filter paper presser and high purity germanium detector(HPGe). Minimum detectable concentrations(MDCs) of the key nuclides requiring in CTBT monitoring strategies are determined by considering of decay time, counting time and flow rate of the high volume air sampler for the rapid explosion and the optimum measurement condition. The results were selected $10{\pm}$2h, $20{\pm}$2h and $850{\pm}50m^3$/h as parameters, respectively. The relation between the natural air-borne radionuclide concentration of $^{212}Pb$ and MDC were calculated which gave effect in the Compton continuum baseline due to those nuclides in the gamma-ray spectroscopy. These results can be used as an actually tool in the CTBT monitoring strategies.

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Assembly strategies of wind turbine towers for minimum fatigue damage

  • Nunez-Casado, Cristina;Lopez-Garcia, Oscar;de las Heras, Enrique Gomez;Cuerva-Tejero, Alvaro;Gallego-Castillo, Cristobal
    • Wind and Structures
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    • v.25 no.6
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    • pp.569-588
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    • 2017
  • The aim of this paper is to present a method to obtain the dynamic response of a wind turbine tower in time domain by means of the generation of time series and to estimate the associated fatigue damage by means of a Rainflow counting algorithm. The proposed method is based on assuming the vortex shedding is a bidimensional phenomena and on following a classical modal superposition method to obtain the structure dynamic response. Four different wind turbine tower geometric configurations have been analyzed in a range of usual wind velocities and covering extreme wind velocities. The obtained results have shown that, depending on the turbulence intensity and the mean wind velocity, there are tower geometric configurations more advantageous from the fatigue load standpoint. Consequently, the presented model can be utilized to define assembly strategies oriented to fatigue damage minimization.

Mathematics and its Education for Near Future (가까운 미래의 수학과 수학교육)

  • Kim, Young Wook
    • Journal for History of Mathematics
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    • v.30 no.6
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    • pp.327-339
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    • 2017
  • Recently industry goes through enormous revolution. Related to this, major changes in applied mathematics are occurring while coping with the new trends like machine learning and data analysis. The last two decades have shown practical applicability of the long-developed mathematical theories, especially some advanced mathematics which had not been introduced to applied mathematics. In this concern some countries like the U.S. or Australia have studied the changing environments related to mathematics and its applications and deduce strategies for mathematics research and education. In this paper we review some of their studies and discuss possible relations with the history of mathematics.