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Comparative Analysis of Mathematics Textbooks in Elementary Schools between Korea and Canada - Focusing on the Numbers and Operations in 5th and 6th Grade - (한국과 캐나다 초등학교 수학 교과서 비교 분석 - 초등학교 5, 6학년 수와 연산 영역을 중심으로 -)

  • Kim, Aekyong;Ryu, Heuisu
    • Journal of Science Education
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    • v.44 no.3
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    • pp.331-344
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    • 2020
  • This study aims to find meaningful implications for the development of Korean elementary school math education courses and textbooks by comparing and analyzing the number and arithmetic areas of Korean and Canadian math textbooks in fifth and sixth grades. To this end, the textbook composition system of Korean and Canadian elementary schools was compared and analyzed, and the number and timing of introduction of math textbooks and math textbooks by grade, and the number in fifth and sixth grade and the learning contents of math textbooks were compared and analyzed. The following conclusions were obtained from this study: First, it is necessary to organize a textbook that can solve the problem in an integrated way by introducing the learned mathematical concepts and computations naturally in the context of problems closely related to real life, regardless of the type of private calculation or mathematics area. Second, it is necessary to organize questions using materials such as real photography and mathematics, science, technology, engineering, art, etc. and to organize textbooks that make people feel the necessity and usefulness of mathematics. Third, sufficient learning of the principles of mathematics through the use of various actual teaching aids and mathematical models, and the construction of textbooks focusing on problem-solving strategies using engineering tools are needed. Fourth, in-depth discussions are needed on the timing of learning guidance for fractions and minority learning or how to organize and develop learning content.

An Analysis of Improvement and Compilation Issues of Mathematics Textbooks for Elementary Schools: Focusing on the 2015 Revised Elementary School Mathematics Textbook Government Published (초등학교 수학 교과서 개선과 편찬 상의 이슈 분석: 2015 개정 초등학교 수학 국정 교과용 도서를 중심으로)

  • Lee, Hwa Young
    • Education of Primary School Mathematics
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    • v.25 no.4
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    • pp.411-431
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    • 2022
  • In this paper, implications for future curriculum compilation were sought by analyzing the process and results of compiling books for elementary school mathematics textbooks government published according to the 2015 revised curriculum. The 2015 revised elementary mathematics textbooks government published was operated with a systematic compilation system so that academia and school field experts across the country could demonstrate their expertise. As improvements in content, the unit and time to strengthen basic computational skills were increased, and the mathematical concept and principle introduction method and algorithm presentation method were improved, and the internal connection between contents was strengthened. The learning period was adjusted, such as moving and arranging contents that are difficult for students to understand to the upper semester or the upper grade. In the 1st and 2nd graders, the amount of reading was drastically reduced to suit the students' level of Korean, and sentences and vocabulary were improved, and instructions were briefly revised. As for editing and design improvements, illustrations of each unit's introduction and contextual pictures were presented in detail, and the characters in the textbook were consistently presented across all grades, giving children characters a role to actively participate in learning in the textbook. In the process of compiling, the media, the National Assembly, and civic groups raised opinions that sentences and vocabulary in first-year textbooks are more difficult than students' level of Hangeul education, that reducing textbooks makes it difficult for students to understand. Accordingly, efforts to improve textbook compilation and the results were viewed. Through the overall analysis as above, for future compilation of state-authored textbooks and certified textbooks, a plan to improve textbook compilation for students and teachers and a plan to operate compilation was proposed.

Analysis of functions and applications of intelligent tutoring system for personalized adaptive learning in mathematics (개인 맞춤형 수학 학습을 위한 인공지능 교육시스템의 기능과 적용 사례 분석)

  • Sung, Jihyun
    • The Mathematical Education
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    • v.62 no.3
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    • pp.303-326
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    • 2023
  • Mathematics is a discipline with a strong systemic structure, and learning deficits in previous stages have a great influence on the next stages of learning. Therefore, it is necessary to frequently check whether students have learned well and to provide immediate feedback, and for this purpose, intelligent tutoring system(ITS) can be used in math education. For this reason, it is necessary to reveal how the intelligent tutoring system is effective in personalized adaptive learning. The purpose of this study is to investigate the functions and applications of intelligent tutoring system for personalized adaptive learning in mathematics. To achieve this goal, literature reviews and surveys with students were applied to derive implications. Based on the literature reviews, the functions of intelligent tutoring system for personalized adaptive learning were derived. They can be broadly divided into diagnosis and evaluation, analysis and prediction, and feedback and content delivery. The learning and lesson plans were designed by them and it was applied to fifth graders in elementary school for about three months. As a result of this study, intelligent tutoring system was mostly supporting personalized adaptive learning in mathematics in several ways. Also, the researcher suggested that more sophisticated materials and technologies should be developed for effective personalized adaptive learning in mathematics by using intelligent tutoring system.

A systematic review on on-line education in mathematics education: Focused on before and after COVID-19 (수학 교육에서의 온라인 교육에 대한 체계적 문헌 고찰: COVID19 전후를 중심으로)

  • Hwang, Seonyoung;Han, Sunyoung;Cho, Yoonjin;Jeong, Hyeajin;Lee, Jaemin
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.93-120
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    • 2024
  • On-line education in mathematics education changed in various aspects before and after COVID-19. This study conducted a systematic literature review of 98 academic papers on on-line education published from 2017 to 2023 in the field of mathematics education before and after COVID19. In particular, this study conducted content analysis to organize on the definitions of various similar terms related to online education. In addition, this study explored research trends on year, research subject, research method, on-line education type, and research topic by the pre-COVID-19, COVID-19, and post-COVID-19 era. Also, a comparative analysis was conducted on literatures on the effects of online education. As a result, first, it was confirmed that there is a need to organize the definitions of terms similar to online education. Also, the implications of identifying the differences and hierarchies between each term can be found. Second, it was confirmed that teachers' expertise for on-line mathematics education was emphasized based on the result of the rapid increase in the number of on-line education studies on teachers since COVID-19. Third, it was confirmed that the number of studies on blended and flipped learning was high in pre-COVID-19, but decreased in the COVID-19 era. Instead, in the COVID-19 era, studies on real-time interactive classes were rapidly active, and even in the post-COVID-19 era, studies on real-time interactive classes still occupied a large proportion. Finally, it was confirmed that the effectiveness of on-line education varies depending on the research background and model. Accordingly, the need to be cautious in interpreting the results of each study on the effectiveness of on-line education was confirmed. Based on these findings, this study presented implications for future research on on-line education in mathematics education.

Prediction of Optimal Microwave-Assisted Extraction Conditions for Functional Properties from Fluid Cheonggukjang Extracts (액상청국장 추출물의 기능성에 대한 마이크로웨이브 최적 추출조건 예측)

  • Lee, Bo-Mi;Do, Jeong-Ryong;Kim, Hyun-Ku
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.36 no.11
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    • pp.1465-1471
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    • 2007
  • Response surface methodology (RSM) was employed to optimize extraction conditions in order to find the maximal functional properties of fluid Cheonggukjang. Based on central composite design, a study plan was established with variations of microwave power, ethanol concentration, and extraction time. Regression analysis was applied to obtain a mathematical model. The maximum inhibitory of tyrosinase activity was found as 26.75% at the conditions of 30.56W microwave power, 2.40 g/mL of ratio of solvent to sample content and 10.00 min extraction time, respectively. The maximum superoxide dismutase (SOD)-like activity was 53.23% under the extraction conditions of 108.42 W, 4.38 g/mL and 7.84 min. Based on superimposition of three dimensional RSM with respect to extraction yield, inhibitory of tyrosinase activity and SOD-like activity obtained under the various extraction conditions, the optimum ranges of extraction conditions were found to be microwave power of $55{\sim}75$ W, ratio of solvent to sample content of $2{\sim}5$ g/mL and extraction time of $3.5{\sim}15$ min, respectively.

An Analysis of 2009 Revised Elementary Mathematics 6th Grade Textbooks and Teacher's Manuals Based on STEAM-related Subject Contents (2009 개정 초등 수학 6학년 교과서 및 교사용 지도서의 STEAM 관련 교과 내용 분석)

  • Kim, Hae Gyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.1
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    • pp.163-192
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    • 2016
  • In this study, we analyzed what STEAM-related subject contents, except mathematical knowledge, are contained in 2009 revised elementary mathematics 6th grade textbooks and teacher's manuals. The STEAM-related subject contents in the textbooks and the teacher's manuals were examined by unit, by semester, and by strand of the content in the elementary school mathematics curriculum. The results are the following: First, in each unit and in each strand of mathematics, the most frequent STEAM-related subject content is storytelling, followed by the STEAM-related subject contents of technology and engineering, natural science, and social studies in order. On the other hand, the number of culture, physical education, music and fine arts contents is very small. Second, the number of STEAM-related subject contents in the textbook for the second semester(textbook 6-2) of the 6th grade year is 61 more than that in the textbook for the first semester(textbook 6-1). The number of non-storytelling STEAM-related subject contents in textbook 6-2 is 107, 2.7 times more than that in textbook 6-1. Third, the teacher's manual for textbook 6-1 is insufficient in complementing the textbook units which lack in STEAM-related subject contents, while the teacher's manual for textbook 6-2 is comparatively good in its complementing role. Therefore, it is recommended that we develop different STEAM materials for our 6th grade mathematics classes.

Application of Predictive Food Microbiology Model in HACCP System of Milk (우유의 HACCP 시스템에서 Predictive Food Microbiology Model 이용)

  • 박경진;김창남;노우섭;홍종해;천석조
    • Journal of Food Hygiene and Safety
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    • v.16 no.2
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    • pp.103-110
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    • 2001
  • Predictive food microbiology(PFM) is an emerging area of food microbiology since the later 1980’s. It does apply mathematical models to predict the responses of microorganism to specified environmental variables. Although, at present, PFM models do not completely developed, models can provide very useful information for microbiological responses in HACCP(Hazard Analysis Critical Control Point) system and Risk Assessment. This study illustrates the possible use of PFM models(PMP: Pathogen Modeling Program win5.1) with milk in several elements in the HACCP system, such as conduction of hazard analysis and determination of CCP(Critical Control Points) and CL(Critical Limits). The factors likely to affect the growth of the pathogens in milk involved storage fixed factors were pH 6.7, Aw 0.993 and NaCl 1.3%. PMPwin5.1 calculated generation time, lag phase duration, time to level of infective dose for pathogens across a range of storage (Critical Control Points) and CL(Critical Limits). The factors likely to affect the growth of the pathogens in milk involved storage temperature, pH, Aw and NaCl content. The factors likely to affect the growth of the pathogens in milk involved storage temperature, pH, Aw and NaCl content. The variable factor was storage temperature at the range of 4~15$^{\circ}C$ and the fixed factors were pH 6.7, Aw 0.993 and NaC 1.3%. PMPwin5.1 calculated generation time, lag phase duration, time to level of infective dose for pathogens across a range of storage temperature.

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The Development and Validation of a Children's Play Disposition Scale (아동 놀이성향척도 개발 및 타당화 연구)

  • Sung, Jihyun;Byun, Hye-weon;Nam, Ji-hae
    • The Journal of the Korea Contents Association
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    • v.17 no.4
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    • pp.606-620
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    • 2017
  • The purpose of this study was to develop and validate a Children's Play Disposition Scale(CPDS) which could be used to evaluate children's play patterns and preferences. The participants of this study were parents of 437 5-7-year-old children (age range from 51months to 106months). Preliminary items were developed through a review of relevant research, multiple intelligence theory and scales, confirmation of item adequacy and content validity. After the content validity was confirmed by experts, these items were edited down to a final list of 27 items representing 6 factors identified by exploratory factor analysis. The 6 factors of the scale consists of initiative, linguistic activity, logical-mathematical activity, art and craft, physical activity, and sensitivity respectively. Concurrent validity was established by using correlations between each factor of the CPDS and sub-factors and the total scores of Multiple Intelligence Checklist for preschoolers (Multiple Intelligence Institute Co., Ltd, 2008) and Multiple Intelligence Checklist for elementary schoolers (Multiple Intelligence Institute Co., Ltd, 2007). In addition, the reliability of each factor, as measured by Cronbach's ${\alpha}$, ranged from .53 to .79. The CPDS provides the developmental and educational information for strengthening children's developmental forte and for supporting children's developmental weakness. This scale can be used on developing children's play contents and guiding play methods in the future.

Processing Optimization and Antioxidant Activity of Chocolate Added with Mulberry (오디 초콜릿의 제조 최적화 및 항산화 활성)

  • Park, So-Yeon;Joo, Na-Mi
    • Korean Journal of Food Science and Technology
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    • v.43 no.3
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    • pp.303-314
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    • 2011
  • The purpose of this study was to determine the optimal mixing conditions for two different amounts of added mulberry powder and fresh cream to prepare functional chocolate with added mulberry powder. The experiment was designed according to the central composite response surface design, which showed 10 experimental points, and included two replicates for mulberry powder and fresh cream. The physiochemical, mechanical, and sensory properties of the test were measured, and these values were applied to the mathematical models. The results of the physiochemical and mechanical analyses of each sample, including pH, moisture content, total phenolic content, DPPH free radical scavenging activity, color L, color b, hardness, gumminess, and cohesiveness showed significant differences. The sensory characteristics of the samples tested were significantly different in flavor, texture, sourness, bitterness, and overall acceptability. The optimum formulation calculated by numerical and graphical methods was 25.76 g mulberry powder and 72.21 g fresh cream.

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.