• Title/Summary/Keyword: decimal

Search Result 321, Processing Time 0.03 seconds

A Reconstruction of Area Unit of Elementary Mathematics Textbook Based on Freudenthal's Mathematisation Theory (Freudenthal의 수학화 이론에 근거한 제 7차 초등수학 교과서 5-가 단계 넓이 단원의 재구성)

  • You, Mi-Hyun;Kang, Heung-Kyu
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.13 no.1
    • /
    • pp.115-140
    • /
    • 2009
  • Freudenthal has advocated the mathematisation theory. Mathematisation is an activity which endow the reality with order, through organizing phenomena. According to mathematisation theory, the departure of children's learning of mathematics is not ready-made formal mathematics, but reality which contains mathematical germination. In the first place, children mathematise reality through informal method, secondly this resulting reality is mathematised by new tool. Through survey, it turns out that area unit of Korea's seventh elementary mathematics textbook is not correspond to mathematisation theory. In that textbook, the area formular is hastily presented without sufficient real context, and the relational understanding of area concept is overwhelmed by the practice of the area formular. In this thesis, first of all, I will reconstruct area unit of seventh elementary textbook according to Freudenthal's mathematisation theory. Next, I will perform teaching experiment which is ruled by new lesson design. Lastly, I analysed the effects of teaching experiment. Through this study, I obtained the following results and suggestions. First, the mathematisation was effective on the understanding of area concept. Secondly, in both experimental and comparative class, rich-insight children more successfully achieved than poor-insight ones in the task which asked testee comparison of area from a view of number of unit square. This result show the importance of insight in mathematics education. Thirdly, in the task which asked testee computing area of figures given on lattice, experimental class handled more diverse informal strategy than comparative class. Fourthly, both experimental and comparative class showed low achievement in the task which asked testee computing area of figures by the use of Cavalieri's principle. Fifthly, Experiment class successfully achieved in the area computing task which resulting value was fraction or decimal fraction. Presently, Korea's seventh elementary mathematics textbook is excluding the area computing task which resulting value is fraction or decimal fraction. By the aid of this research, I suggest that we might progressively consider the introduction that case. Sixthly, both experimental and comparative class easily understood the relation between area and perimeter of plane figures. This result show that area and perimeter concept are integratively lessoned.

  • PDF

Application of Mathematics PBL Model Courses in the Chapter of a Decimal for the 4th Grade of Elementary School Students (초등학교 4학년 소수단원에서의 수학과 PBL 모형 적용 수업 분석)

  • Kang, Mi-Ae;Song, Sang-Hun
    • School Mathematics
    • /
    • v.13 no.1
    • /
    • pp.189-206
    • /
    • 2011
  • This study is to setup a mathematics PBL model that is right for elementary students. PBL models are developed and applied to actual courses and analyzed. So, a specific plan and practical understanding of PBL mathematics textbooks will be presented. But in order for this to happen, first the mathematics PBL model, that can realize 7th revised curriculum's goal, needs to setup and divided into knowledge, skill and attitude domains. Through this study, the general PBL model and the PBL model appropriate for elementary mathematics was amended and supplemented, this was then applied to courses and analyzed, and the below conclusions were realized. First, mathematical idealization stage is needed for mathematical PBL model. Since an elementary student is shortcoming in problem understanding and mathematical activity, a middle step that allows the student to understand the problem situation mathematizing and find a solution mathematically is desperately needed. Therefore, in this study, we named it the mathematical idealization stage and had it setup. Second, a mathematics information collection stage needs to be prepared for a successful PBL. Through this stage, the students will have an opportunity to gather the necessary information needed and restructure it to solve the problem. Third, the organization stage in mathematical PBL model needs to be strengthened. PBL is not just completed, through the best use of mathematics subject matter to solve the problem. Organization time is needed to allow the students to grow to a more deepened and advanced level. In conclusion, there is significance in providing a specific plan for mathematical PBL model, which can be seen through this study on applying and analyzing elementary mathematics and appropriate PBL models.

  • PDF

A Longitudinal Study on the Mathematical Contents Changed in 2015 National Revised Curriculum for Elementary School Mathematics (2015 개정 초등 수학과 교육과정의 변화 내용에 대한 종적 분석)

  • Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.20 no.2
    • /
    • pp.215-238
    • /
    • 2016
  • The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

The Destruction of Bacterial Spores Upon Compressional Pressure (타정 압력에 의한 세균포자의 파괴현상)

  • Lee, Cherl-Ho;Kim, Young-Man;Lee, Jung-Chi;Jung, Pil-Keun
    • Korean Journal of Food Science and Technology
    • /
    • v.12 no.4
    • /
    • pp.272-277
    • /
    • 1980
  • The tolerance of useful bacterial spores to the conditions of tablet making, specifically, the destruction of bacterial spores upon compressional pressure was investigated. The damage of bacterial spores occurred mainly during the tabletting. The bacterial spores obeyed a logarithmic destruction rate upon compressional pressure. The spore destruction rate was dependent upon the strains of microorganism. The Decimal Reduction Pressure, designated as P-value, were $2.9\;ton/cm^2$, $2.6\;ton/cm^2$ and $2.1\;ton/cm^2$ for the spores of Bacillus subtilis, Bacilus coagulans and Clostridium butyricum, respectively, and $1.7\;ton/cm^2$ for the vegetative cell of Streptococcus faecalis. The spore destruction upon compressional pressure was influenced by the type of filler. The P-value of the spore of B. coagulans was $2.8\;ton/cm^2$ in the lactose filler, but $2.0\;ton/cm^2$ in the starch filler. The number of viable spores was inversely proportional to the hardness and density of tablet, in case that the same type of filler was used. The starch filler, which resulted in the lower hardness and lower density of tablet, caused higher spore destruction rate compared with the lactose filler.

  • PDF

Studies on Thermal Resistance of Paralytic Shellfish Poison in Blue Mussel (진주담치의 마비성패류독의 내열성에 관한 연구)

  • Shin, Il-Shik;Chang, Dong-Suck
    • Korean Journal of Food Science and Technology
    • /
    • v.22 no.7
    • /
    • pp.799-801
    • /
    • 1990
  • Of the several methods proposed for decreasing toxicity of Paralytic shellfish poison(PSP) from intoxicated shellfish, heat treatment has been most popular, although a large percentage of the incidents of PSP illness have been related to the ingestion of cooked shellfish. The purpose of this study was to determine the kinetics of PSP destruction at various temperatures. The homogenate of intoxicated blue mussel(Mytilus edulis) was heated at temperature ranging from $90\;to\;121^{\circ}C$ and toxicities measured in samples heated for various time intervals. The rate constant(k) per second was $3{\times}10^{-4},\;at\;90^{\circ}C,\;4.98{\times}10^{-4},\;at\;100^{\circ}C,\;7.38{\times}10^{-4},\;at\;116^{\circ}C,\;and\;8.38{\times}10^{-4},\;at\;121^{\circ}C,\;$. By the Arrhenius equation, the decimal reduction time(D-value) was $121min.\;at\;90^{\circ}C,\;82min,\;at\;100^{\circ}C,\;58min.\;at\;116^{\circ}C\;and\;53min.\;at\;121^{\circ}C$. The z-value, activation energy($E_a\;and\;Q_{10}$) was $72^{\circ}C,\;3.9{\times}10^7(J/kg\;mol)$ and 1.39, respectively.

  • PDF

A Study on the Types and Causes of Medication Errors and Related Drugs - by Analyzing AJNs Medication Error 73 Cases - (임상에서의 투약오류원인과 관련 의약품 분석 - AJN에 기고된 Medication Error 기사의 73사례를 중심으로 -)

  • Cho Won Sun
    • Journal of Korean Public Health Nursing
    • /
    • v.16 no.1
    • /
    • pp.176-189
    • /
    • 2002
  • The purpose of this study were to illustrate the various medication error types and causes and identified to related drugs to provide basic data for preventing nurses' medication error by analysing 73 cases of AJN 'medication Error' column(1993, Oct -2000, Nov). Nurses' types of medication error were classified into 7 types. The most frequent error types are wrong medication$(21.9\%)$ and the wrong dose$(21.9\%)$ together. The others are wrong $time(4.1\%)$, $omission(2.7\%)$, mechanical $error(2.7\%)$, incorrect IV $rate(1.4\%)$. wrong route $administration(1.4\%)$ in order. Nurses' causes of medication error were 9 kinds. The most frequent type is confusing between similar drug shape, color, size, name, injection devices and patient's $name(43.9\%)$ and the others are lack of knowledge about $drugs(26.8\%),\; slips(7.3\%),\; miscalculating\;dose(4.9\%)$, incorrect adjusts $devices(4.9\%)$, difficulty to read or illegible decimal $point(4.9\%),$ $abbreviation(2.4\%)$, fatigue with $overwork(2.4\%)$ and no communication with $patient(2.4\%)$ in order. Related drugs with medication error are as follows. - dose unit(IU. minims. mcg/min. mEq) : Heparin. insulin. synthetic calcitonin, some enzymes and hormones, vitamins, some antibiotics, tuberculin injection. MgSO4 injection. nitroglycerin - similar size, color and shape drug : $0.9\%$ N/S and acetic acid $0.25\%$ for irrigation. premixed 2mg lidocaine sol. and $0.9\%$ N/S, gentamycin 20mg/2mL for children and 80mg/2mL for adult, dextroamphetamine 5mg and 10mg capsule. sedatives chloral hydrate 250mg/5mL and 500mg/5mL - similar name :Aredia(pamidronate disodium) and Adriamycin(doxorubicin), Lamictal (lamotrigine) and Lamisil 250mg. Elderpryl and enalapril, cefotaxime and cefoxitin, carboplatin and cisplatin, sumatriptan and zolmitriptan, Celebrex and Celexa, Humulin and Humalog, Percodan and Percocet, Diabeta and Diabinese, Epivir and Retrovir, Xanax(alprazolam) and Zantac(ranitidine) - decimal point : low molecular weight warfarin, methotrexate - unfamiliar drug uses of familiar drug ; methotrexate. droperidol, imipramine, propranolol - number of drug name(misleading chemical name) : 6-thioguanine, 6-mercaptopurine, 5-fluorouracil - type of administration route : Oxycodone(OxyContin). - administration time : acarbose(Precose). - injection way (Z-track method): hydroxyzine - epidural cathether : LMWHs(enoxaparin, dalteparin), - ADD Vantage self contained delivery system : ceftriaxone(Rocephin)

  • PDF

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
    • /
    • v.36 no.4
    • /
    • pp.469-486
    • /
    • 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.

Performance Comparison of Automatic Classification Using Word Embeddings of Book Titles (단행본 서명의 단어 임베딩에 따른 자동분류의 성능 비교)

  • Yong-Gu Lee
    • Journal of the Korean Society for information Management
    • /
    • v.40 no.4
    • /
    • pp.307-327
    • /
    • 2023
  • To analyze the impact of word embedding on book titles, this study utilized word embedding models (Word2vec, GloVe, fastText) to generate embedding vectors from book titles. These vectors were then used as classification features for automatic classification. The classifier utilized the k-nearest neighbors (kNN) algorithm, with the categories for automatic classification based on the DDC (Dewey Decimal Classification) main class 300 assigned by libraries to books. In the automatic classification experiment applying word embeddings to book titles, the Skip-gram architectures of Word2vec and fastText showed better results in the automatic classification performance of the kNN classifier compared to the TF-IDF features. In the optimization of various hyperparameters across the three models, the Skip-gram architecture of the fastText model demonstrated overall good performance. Specifically, better performance was observed when using hierarchical softmax and larger embedding dimensions as hyperparameters in this model. From a performance perspective, fastText can generate embeddings for substrings or subwords using the n-gram method, which has been shown to increase recall. The Skip-gram architecture of the Word2vec model generally showed good performance at low dimensions(size 300) and with small sizes of negative sampling (3 or 5).

Hierarchic Document Clustering in OPAC (OPAC에서 자동분류 열람을 위한 계층 클러스터링 연구)

  • 노정순
    • Journal of the Korean Society for information Management
    • /
    • v.21 no.1
    • /
    • pp.93-117
    • /
    • 2004
  • This study is to develop a hierarchic clustering model fur document classification and browsing in OPAC systems. Two automatic indexing techniques (with and without controlled terms), two term weighting methods (based on term frequency and binary weight), five similarity coefficients (Dice, Jaccard, Pearson, Cosine, and Squared Euclidean). and three hierarchic clustering algorithms (Between Average Linkage, Within Average Linkage, and Complete Linkage method) were tested on the document collection of 175 books and theses on library and information science. The best document clusters resulted from the Between Average Linkage or Complete Linkage method with Jaccard or Dice coefficient on the automatic indexing with controlled terms in binary vector. The clusters from Between Average Linkage with Jaccard has more likely decimal classification structure.

A Case Study of the Base Technology for the Smart Grid Security: Focusing on a Performance Improvement of the Basic Algorithm for the DDoS Attacks Detection Using CUDA

  • Huh, Jun-Ho;Seo, Kyungryong
    • Journal of Korea Multimedia Society
    • /
    • v.19 no.2
    • /
    • pp.411-417
    • /
    • 2016
  • Since the development of Graphic Processing Unit (GPU) in 1999, the development speed of GPUs has become much faster than that of CPUs and currently, the computational power of GPUs exceeds CPUs dozens and hundreds times in terms of decimal calculations and costs much less. Owing to recent technological development of hardwares, general-purpose computing and utilization using GPUs are on the rise. Thus, in this paper, we have identified the elements to be considered for the Smart Grid Security. Focusing on a Performance Improvement of the Basic Algorithm for the Stateful Inspection to Detect DDoS Attacks using CUDA. In the program, we compared the search speeds of GPU against CPU while they search for the suffix trees. For the computation, the system constraints and specifications were made identical during the experiment. We were able to understand from the results of the experiment that the problem-solving capability improves when GPU is used. The other finding was that performance of the system had been enhanced when shared memory was used explicitly instead of a global memory as the volume of data became larger.