• Title/Summary/Keyword: Mathematical Analysis

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A Survey of the Teachers' Perception and the Status about the Descriptive Evaluation in Elementary School Mathematics (초등 수학과 서술형 평가 적용을 위한 기초조사연구)

  • Kim, Min-Kyeong;Kwon, Jum-Rye;Noh, Sun-Sook;Joo, You-Ri;You, Hai-Jin
    • School Mathematics
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    • v.10 no.3
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    • pp.401-422
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    • 2008
  • In the current school curriculum, an alternative assessment method which focuses more on the problem solving process rather than the final solution is being investigated. The goal is to evaluate students' understanding of the subject. A descriptive evaluation is being suggested as a way of examining the thought process of the students by a structured analysis of the problem solving process. But currently, there are not enough descriptive problems available for teachers to effectively carry out the alternative assessment method in the elementary school mathematics curriculum. In this research, we surveyed 197 elementary school teachers in Seoul to determine the status of descriptive evaluation in elementary school mathematics and to understand the teachers perception about the new assessment method. The goal of the survey was to find an effective implication of the new assessment method in elementary mathematics classes. The research showed that the elementary teachers use this assessment method about 4 to 7 times per month in their classes. They give descriptive problem test anytime they think it is appropriate during the Instruction of the topic. More than 90% of the teachers were using this assessment method to improve students' creativity and mathematical thinking. The teachers in the survey also commented that the teachers' administrative responsibility should be reduced and that the school environment in general should be improved for the new assessment method to be successful. Finally the study also showed that development of more descriptive problems in each grade level is needed to progress the new assessment method.

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An Alternative Program for the Teaching of Multiplication Concept Based on Times Idea (배 개념에 기초한 자연수 곱셈 개념의 지도 방안)

  • Kang, Heung-Kyu
    • School Mathematics
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    • v.11 no.1
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    • pp.17-37
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    • 2009
  • Concept and model of multiplication is not single. Concepts of multiplication can be classified into three cases: repeated addition, times idea, pairs set. Models of multiplication can be classified into four cases: measurement, rectangular pattern, combinatorial problem, number line. Among diverse cases of multiplication's concept and model, which case does elementary mathematics education lay stress on? This question is a controvertible didactical point. In this thesis, (1) mathematical and didactical analysis of multiplication's concept and model is performed, (2) a concrete program of teaching multiplication which is based on times idea is contrived, (3) With this new program, the teaching experiment is performed and its result is analyzed. Through this study, I obtained the following results and suggestions. First, the degree of testee's understanding of times idea is not high. Secondly, a sort of test problem which asks the testee to find times value is more easy than the one to find multiplicative resulting value. Thirdly, combinatorial problem can be handled as an application of multiplication. Fourthly, the degree of testee's understanding of repeated addition is high. In conclusion, I observe the fact that this new program which is based on times idea could be a alternative program of teaching multiplication which could complement the traditional method.

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Optimal Sensor Allocation for Health Monitoring of Roller-Coaster Structure (롤러코스터의 모니터링을 위한 최적 센서 구성)

  • Heo, Gwang Hee;Jeon, Seung Gon;Park, In Joon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.15 no.4
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    • pp.165-174
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    • 2011
  • This research aims at the optimal constitution of sensors required to identify the structural shortcoming of roller-coaster. In this research we analyzed the dynamic characteristics of roller-coaster by three dimensional FE modelling, decided on the appropriate location and number of sensors through optimal transducer theory, abstracted the mathematical value of modal features before and after damage on the basis of optimally placed and numbered sensors. and then presented it as a primary information about the basic structure which would be applied to damage estimation. As a target structure, the roller-coater at Seoul Children's Grand Park was chosen and built as a model reduced by one twentieth in size. In order to consider the Kinetics features particular to the roller-coaster structure, we made an exact three-dimensional FE modelling for the model structure by means of Spline function. As for the proper location and number of sensors, it was done by applying EIM and EOT. We also estimated the damage from the combination of strength, flexibility, and model corelation after abstracting the value of modal features. Finally the optimal transducer theory presented here in this research was proved to be valid, and the structural damage was well identified through changes in strength and flexibility. As a result, we were able to present the optimal constitution of sensors needed for the analysis of dynamic characteristics and the development of techniques in dynamic characteristics, which would ultimately contribute to the development of health monitoring for roller-coaster.

Quantitative analysis of selenium species in sea food using solid phase extraction and HPLC-ICP/MS (해산물 시료에서 solid-phase extraction 및 HPLC-ICP/MS를 이용한 셀레늄 화학종의 정량분석)

  • Kim, Eunju;Joo, Minkyu;Kwon, Hyosik;Pak, Yongnam
    • Analytical Science and Technology
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    • v.26 no.5
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    • pp.307-314
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    • 2013
  • Selenium exists in various forms of chemical species. The activity and bioavailability is strongly dependent on its chemical form and concentration. Consequently the information on each selenium species and its concentration must be exactly determined for the food we take in. In this study, selenium species in seafood were separated and quantified by RP (reversed phase) HPLC (high performance liquid chromatography) coupled with ICP-MS (inductively coupled plasma mass spectrometry) using post-column isotope dilution. $^{79}Br$, which interferes on $^{80}Se$, has mostly been removed by solid phase extraction and then mathematical correction has been applied for the more accurate correction. The experimental result for CRM (certified reference material) DOLT-4 agreed well with the certified value but each selenium species could not be compared. SeCys (selenocysteine) and SeMet (selenomethionine) were the major species detected in seafood such as belt fish, spanish mackerel, and squid that have been serving as Korean diet. The concentrations found in Korean sea food for SeCys and SeMet were in the range of 0-661.6 mg/kg and 137.3-462.7 mg/kg, respectively.

A Study on the Elements of Character in the Elementary Mathematics Textbooks Based on the 2009 Revised Curriculum -Focused on the 3rd and 4th Grades- (2009 개정 수학 교과용 도서의 인성 요소 분석 -3, 4학년을 중심으로-)

  • Park, Yongjun;Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.4
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    • pp.545-561
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    • 2015
  • The purpose of this study was to analysis how the elements of character are reflected in the 3rd and 4th grade elementary mathematics textbooks based on the 2009 revised curriculum. This study focused on the elements of character in the 3rd and 4th grade mathematics textbooks. The researchers analyzed the elements of character in the students' mathematics textbooks and teacher's guide books. In particular, they analyzed how those elements of character are reflected in those books. Findings of this study are as follows. First of all, the elements of character were founded in the most of units on the 3rd and 4th grade mathematics textbooks, but they were biased to the specific elements of character. Second, the resources using related with character vary in the textbooks. As methods of character education, connections of elements of character with mathematical concepts, broader view of the world, or problem solving are appeared. From the results of the research, we suggest the followings. We need to set the teacher's roles in character education. Mathematics textbooks should include various elements of character for effective character education. In addition to development of quality materials for character education in mathematics education, teacher education programs should include character education in mathematics education.

An Analysis of STEAM Elements Included in the Elementary School Mathematics Textbooks Revised on 2009 - Focusing on the 5th and 6th Grade Group - (2009 개정 교육과정에 따른 초등수학교과서의 STEAM 요소 분석: 5~6학년군을 중심으로)

  • Ryu, Sung Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.333-351
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    • 2016
  • This study analyzed what STEAM elements, except mathematical content, are contained in 2009 revised elementary school 5th and 6th grade group mathematics textbooks. STEAM elements in the textbooks were examined by grade and by content area in the elementary school mathematics curriculum. The results were as follows. First, the number of STEAM elements in mathematics 5-1, 5-2, 6-1, 6-2 are 151(18.4%), 212(25.9%), 211(25.7%), 246(30.0%), respectively. The 6th Grade than in 5th Grade can be seen a few plenty. Second, the number of STEAM elements are different depending on the type of STEAM. The number of arts element is 617(75.2%) and this elements are seen the most. The number of representative art and cultural art is 445(54.3%) and 172(20.9%), respectively. The number of technology-engineering and science is 158(19.2%) and 45(5.5%), respectively. We need to developed to promote use of science element in next mathematics curriculum.

Comparative Analysis of Influential Factors on Computer-Based Mathematics Assessment between Korea and Singapore (우리나라와 싱가포르의 컴퓨터 기반 수학 평가 결과에 대한 영향 요인 비교 분석)

  • Rim, Haemee;Jung, Hyekyun
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.157-170
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    • 2017
  • Mathematics was the main domain of PISA 2012, and both paper-based and computer-based assessment of mathematics (CBAM) were conducted. PISA 2012 was the first large-scale computer-based mathematics assessment in Korea, and it is meaningful in that it evaluated students' mathematical literacy in problem situations using dynamic geometry, graph, and spreadsheet. Although Korea ranked third in CBAM, the use of ICT in mathematics lessons appeared to be low. On the other hand, this study focused on Singapore, which ranked first in CBAM. The Singapore Ministry of Education developed online programs such as AlgeTools and AlgeDisc, and implemented the programs in classes by specifying them in mathematics curriculum and textbooks. Thus, this study investigated influential factors on computer-based assessment of mathematics by comparing the results of Korea and Singapore, and aimed to provide meaningful evidence on the direction of Korea's ICT-based mathematics education. The results showed that ICT use at home for school related tasks, attitudes towards computers as a tool for school learning, and openness and perseverance of problem solving were positively associated with computer-based mathematics performance, whereas the use of ICT in mathematics class by teacher demonstration was negatively related. Efforts are needed to improve computer use and enhance teaching techniques related to ICT use in Korean math classes. Future research is recommended to examine how effectively teachers use ICT in mathematics class in Singapore.

Relationship between Music Cognitive Skills and Academic Skills (음악의 인지기술과 학습 기술과의 관계)

  • Chong, Hyun Ju
    • Journal of Music and Human Behavior
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    • v.3 no.1
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    • pp.63-76
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    • 2006
  • Melody is defined as adding spatial dimension to the rhythm which is temporal concept. Being able to understand melodic pattern and to reproduce the pattern also requires cognitive skills. Since 1980, there has been much research on the relationship between academic skills and music cognitive skills, and how to transfer the skills learned in music work to the academic learning. The study purported to examine various research outcomes dealing with the correlational and causal relationships between musical and academic skills. The two dominating theories explaining the connection between two skills ares are "neural theory" and "near transfer theory." The theories focus mainly on the transference of spatial and temporal reasoning which are reinforced in the musical learning. The study reviewed the existing meta-analysis studies, which provided evidence for positive correlation between academic and musical skills, and significance of musical learning in academic skills. The study further examined specific skills area that musical learning is correlated, such as mathematics and reading. The research stated that among many mathematical concepts, proportional topics have the strongest correlation with musical skills. Also with reading, temporal processing also has strong relationship with auditory skills and motor skills, and further affect language and literacy ability. The study suggest that skills learned in the musical work can be transferred to other areas of learning and structured music activities may be every efficient for children for facilitating academic concepts.

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Schematic Cost Estimation Method using Case-Based Reasoning: Focusing on Determining Attribute Weight (사례기반추론을 이용한 초기단계 공사비 예측 방법: 속성 가중치 산정을 중심으로)

  • Park, Moon-Seo;Seong, Ki-Hoon;Lee, Hyun-Soo;Ji, Sae-Hyun;Kim, Soo-Young
    • Korean Journal of Construction Engineering and Management
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    • v.11 no.4
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    • pp.22-31
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    • 2010
  • Because the estimated cost at early stage has great influence on decisions of project owner, the importance of early cost estimation is increasing. However, it depends on experience and knowledge of the estimator mainly due to shortage of information. Those tendency developed into case-based reasoning(CBR) method which solves new problems by adapting previous solution to similar past problems. The performance of CBR model is affected by attribute weight, so that its accurate determination is necessary. Previous research utilizes mathematical method or subjective judgement of estimator. In order to improve the problem of previous research, this suggests CBR schematic cost estimation method using genetic algorithm to determine attribute weight. The cost model employs nearest neighbor retrieval for selecting past case. And it estimates the cost of new cases based on cost information of extracted cases. As the result of validation for 17 testing cases, 3.57% of error rate is calculated. This rate is superior to accuracy rate proposed by AACE and the method to determine attribute weight using multiple regression analysis and feature counting. The CBR cost estimation method improve the accuracy by introducing genetic algorithm for attribute weight. Moreover, this makes user understand the problem-solving process easier than other artificial intelligence method, and find solution within short time through case retrieval algorithm.

Dynamic changes of yak (Bos grunniens) gut microbiota during growth revealed by polymerase chain reaction-denaturing gradient gel electrophoresis and metagenomics

  • Nie, Yuanyang;Zhou, Zhiwei;Guan, Jiuqiang;Xia, Baixue;Luo, Xiaolin;Yang, Yang;Fu, Yu;Sun, Qun
    • Asian-Australasian Journal of Animal Sciences
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    • v.30 no.7
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    • pp.957-966
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    • 2017
  • Objective: To understand the dynamic structure, function, and influence on nutrient metabolism in hosts, it was crucial to assess the genetic potential of gut microbial community in yaks of different ages. Methods: The denaturing gradient gel electrophoresis (DGGE) profiles and Illumina-based metagenomic sequencing on colon contents of 15 semi-domestic yaks were investigated. Unweighted pairwise grouping method with mathematical averages (UPGMA) clustering and principal component analysis (PCA) were used to analyze the DGGE fingerprint. The Illumina sequences were assembled, predicted to genes and functionally annotated, and then classified by querying protein sequences of the genes against the Kyoto encyclopedia of genes and genomes (KEGG) database. Results: Metagenomic sequencing showed that more than 85% of ribosomal RNA (rRNA) gene sequences belonged to the phylum Firmicutes and Bacteroidetes, indicating that the family Ruminococcaceae (46.5%), Rikenellaceae (11.3%), Lachnospiraceae (10.0%), and Bacteroidaceae (6.3%) were dominant gut microbes. Over 50% of non-rRNA gene sequences represented the metabolic pathways of amino acids (14.4%), proteins (12.3%), sugars (11.9%), nucleotides (6.8%), lipids (1.7%), xenobiotics (1.4%), coenzymes, and vitamins (3.6%). Gene functional classification showed that most of enzyme-coding genes were related to cellulose digestion and amino acids metabolic pathways. Conclusion: Yaks' age had a substantial effect on gut microbial composition. Comparative metagenomics of gut microbiota in 0.5-, 1.5-, and 2.5-year-old yaks revealed that the abundance of the class Clostridia, Bacteroidia, and Lentisphaeria, as well as the phylum Firmicutes, Bacteroidetes, Lentisphaerae, Tenericutes, and Cyanobacteria, varied more greatly during yaks' growth, especially in young animals (0.5 and 1.5 years old). Gut microbes, including Bacteroides, Clostridium, and Lentisphaeria, make a contribution to the energy metabolism and synthesis of amino acid, which are essential to the normal growth of yaks.