• Title/Summary/Keyword: mathematical change

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Effects of the Mathematical Modeling Learning on the Word Problem Solving (수학적 모델링 학습이 문장제 해결에 미치는 효과)

  • Shin, Hyun-Yong;Jeong, In-Su
    • Education of Primary School Mathematics
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    • v.15 no.2
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    • pp.107-134
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    • 2012
  • The purpose of this study is to investigate the effectiveness of two teaching methods of word problems, one based on mathematical modeling learning(ML) and the other on traditional learning(TL). Additionally, the influence of mathematical modeling learning in word problem solving behavior, application ability of real world experiences in word problem solving and the beliefs of word problem solving will be examined. The results of this study were as follows: First, as to word problem solving behavior, there was a significant difference between the two groups. This mean that the ML was effective for word problem solving behavior. Second, all of the students in the ML group and the TL group had a strong tendency to exclude real world knowledge and sense-making when solving word problems during the pre-test. but A significant difference appeared between the two groups during post-test. classroom culture improvement efforts. Third, mathematical modeling learning(ML) was effective for improvement of traditional beliefs about word problems. Fourth, mathematical modeling learning(ML) exerted more influence on mathematically strong and average students and a positive effect to mathematically weak students. High and average-level students tended to benefit from mathematical modeling learning(ML) more than their low-level peers. This difference was caused by less involvement from low-level students in group assignments and whole-class discussions. While using the mathematical modeling learning method, elementary students were able to build various models about problem situations, justify, and elaborate models by discussions and comparisons from each other. This proves that elementary students could participate in mathematical modeling activities via word problems, it results form the use of more authentic tasks, small group activities and whole-class discussions, exclusion of teacher's direct intervention, and classroom culture improvement efforts. The conclusions drawn from the results obtained in this study are as follows: First, mathematical modeling learning(ML) can become an effective method, guiding word problem solving behavior from the direct translation approach(DTA) based on numbers and key words without understanding about problem situations to the meaningful based approach(MBA) building rich models for problem situations. Second, mathematical modeling learning(ML) will contribute attitudes considering real world situations in solving word problems. Mathematical modeling activities for word problems can help elementary students to understand relations between word problems and the real world. It will be also help them to develop the ability to look at the real world mathematically. Third, mathematical modeling learning(ML) will contribute to the development of positive beliefs for mathematics and word problem solving. Word problem teaching focused on just mathematical operations can't develop proper beliefs for mathematics and word problem solving. Mathematical modeling learning(ML) for word problems provide elementary students the opportunity to understand the real world mathematically, and it increases students' modeling abilities. Futhermore, it is a very useful method of reforming the current problems of word problem teaching and learning. Therefore, word problems in school mathematics should be replaced by more authentic ones and modeling activities should be introduced early in elementary school eduction, which would help change the perceptions about word problem teaching.

The Influence on the Learning Attitude of the Development and Application of Mathematical Performance Assessment Tasks - Focused on 1st Grade Middle School Students - (수학과 수행평가과제의 개발 및 적용이 수학 학습 태도에 미치는 영향 - 중학교 1학년을 중심으로 -)

  • 정재영
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.61-74
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    • 2001
  • The purposes of this study are to develop the mathematical performance assessment tasks and to apply them to the middle school students. And I also intend to know the students' inclination and learning attitude to mathematics. In order to satisfy this study, I developed the performance assessment tasks and the standard program of marking about the mathematical function and statistics for the first grade students at middle school. After examining the students' basic investigation, their inclination and learning attitude to mathematics, I applied these developed tasks to them After that I put both classes and performance assessment into operation in all 15 periods. I set up two classes of the first grade students (49 students) at J middle school in Kongju, Chungcheongnam-do as a model group. The results of this study are as follows: First, owing to the developed performance assessment tasks of function and statistics, the teachers can operate the assessment system as a process of teaching and learning. Second, because of the application of mathematical performance assessment tasks, we can change the students' inclination and learning attitude to mathematics affirmatively. And by using these tasks, we can help the students to think mathematically. In this way, the students will be able to realize the real value of mathematics and have a growing interest in mathematics through all these meaningful processes. Judging from this study, we can elevate the students' abilities of problem solving and reasoning and improve teaching-learning method by applying the performance assessment tasks to them. Thanks to these tasks, the students will be changed affirmatively in their inclination and learning attitude to mathematics. I think that these tasks are very good assessment method which can call forth curiosity and interest. Besides, they can also help the students realize the real value of mathematics.

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The study of the Gifted Students Education about Doing Mathematical Task with the Face Plot (얼굴그림(Face Plot)을 활용한 수학영재교육의 사례연구)

  • Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.369-385
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    • 2017
  • This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

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A Study on Mathematical Model of Manoeuvring Motion of Manta-type Unmanned Undersea Vehicle at Large Attack Angles (Manta형 무인잠수정의 대각도 받음각을 갖는 조종운동 수학모델에 관한 연구)

  • Bae, Jun-Young;Sohn, Kyoung-Ho;Kim, June
    • Journal of the Society of Naval Architects of Korea
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    • v.47 no.3
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    • pp.328-341
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    • 2010
  • The authors adopt the Unmanned Undersea Vehicle(UUV), which has taken the shape of manta(Sohn et al. 2006). They call here it Manta-type Unmanned Undersea Test Vehicle(MUUTV). MUUTV is designed with the similar concept of UUV called Manta Test Vehicle(MTV), which was originally built by the Naval Undersea Warfare Center, USA(Lisiewicz and French 2000, Sirmalis et al. 2001, U.S. Navy 2004). The present study deals with evaluation of extreme motion of MUUTV at large attack angles. Extreme motion contains, for example, rising and depth change due to operation of hovering thrusters attached to MUUTV, lateral motion due to ocean current applied to MUUTV at low advance velocity, and so on. Numerical simulation technique has been utilized. The previous mathematical model on manoeuvring motion of MUUTV(Bae et al. 2009a) is basically adopted. Based on the results of present model experiment on extreme motion, the mathematical model is revised and supplemented in order to describe extreme motion. The hydrodynamic derivatives related to extreme motion are obtained from present model experiment and the other derivatives are referred to previous work(Bae et al. 2009a).

Trends in Education and Polices for Women in Korea: Focusing on Mathematics, Science, and Career Choice (한국의 여성교육과 정책의 흐름 : 수학, 과학, 직업선택을 중심으로)

  • Park, Kyung-Bin;Moon, Jeong-Hwa;Ha, Jong-Duk
    • Journal of Gifted/Talented Education
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    • v.16 no.2
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    • pp.193-214
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    • 2006
  • This study is focused on the trends in education and polices for women in Korea. First, historical background of education for women in Korea revealed that a biased view of education for women was deeply rooted. Next, several findings such as international comparison of performance on the PISA, TIMSS, and National Assessment including gender differences especially in Mathematical and Science performance were analyzed. In international assessments, female students perform better in reading literacy, but still fall behind male students in mathematical and scientific literacy, and the gap between the genders are wider than most OECD countries. The change in status of women in contemporary Korea is examined focusing on educational system and women's educational and vocational performance, etc. Additionally, policies planned by Ministry of Science and Technology which show the many execution plans for training and supporting female professionals were presented. Finally, possible reasons for gender differences in educational performance is examined and some suggestions are provided to reduce the gender gap in mathematical and scientific literacy of Korean students.

Introducing the Mrs. Weill's Hill Diagram to Learning Algorithm (수 연산에서의 언덕도 도입의 실제)

  • Lee Eui-Won;Kim Jin-Sang;Lee Myung-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.6 no.1
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    • pp.23-40
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    • 2002
  • Historically, the use of algorithms has been emphasized in the mathematics curriculum at the elementary school mathematics. The current reform movement in our country are seemed to emphasize the importance of algorithms in favor of problem-solving approaches, the conceptualization of mathematical processes and applications of mathematics in real world situations. Recently, children may come to school with a fairly well-developed attitude about mathematics and mathematical ideas. That is, they do not come to school and to learning mathematics with a clean slate. Because they have already formed some partial mathematical concepts in a wide variety of contexts. Many kindergarten children have attended pre-school programs where they played with blocks, made patterns, and started adding and subtracting. It seems that there are psychological change attitudes of the children in upper grades toward learning mathematics. In our elementary school mathematics, almost every student are still math anxious or have developed math anxiety because of paper-pencil test. In these views, this paper is devoted to introduce and apply to second grade students in ND-elementary school in Taegu City the new method for learning addition and subtraction so called ‘Mrs Weill's Hill’, which is believed as a suitable method for children with mathematical teaming disabilities and Math anxiety.

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Case Study on Change in the Geometrical Thinking Levels of the Under Achievers by Using Mathematical Journal Writing (수학저널 쓰기를 활용한 수학학습 부진학생의 기하학적 사고 수준 변화 사례 연구)

  • Ha, Eun-Young;Chang, Hye-Won
    • School Mathematics
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    • v.11 no.1
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    • pp.147-164
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    • 2009
  • This study investigated the development of geometrical thinking levels of the under achievers at mathematics through supplementary classes according to van Hiele's learning process by stages using mathematical journal writing. We selected five under achievers at mathematics among the fourth graders. We examined their geometrical thinking levels in advance and interviewed them to collect basic data related to their family backgrounds and their attitude toward mathematics and their characteristics. Supplementary classes for the under achievers were conducted a couple of times a week during 12 weeks. Each class was conducted through five learning stages of van Hiele and journal writing was applied to the last consolidating stage. After 12th class had been finished, posttest on geometrical thinking levels was conducted and the journals written by the pupils were analyzed to find out changes in their geometrical thinking levels. The result is that three out of five under achievers showed one or two level-up in their geometrical thinking levels, though the other two pupils remained at the same level as the results by the pretest. Moreover we found that mathematical journal writing could provide the pupils with opportunities to restructure the content which they study through their class.

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The Inquiry of Change of Mathematical Beliefs and Attitude in Elementary Cooperative Learning Class. (협동학습에서의 초등학생 수학적 신념 및 태도 변화 연구)

  • 서관석;안진수
    • School Mathematics
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    • v.5 no.4
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    • pp.541-553
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    • 2003
  • The purposes of this study are to look into the changing processes of mathematical beliefs and attitudes of the students and to propose the plans how to manage cooperative learning, what can contribute to cognitive affective domains of mathematics learning in applying STAD-based cooperative loaming to mathematics class. So we, the researchers performed cooperative learning in the fifth grade of elementary school and did the exams of mathematical beliefs and attitudes, interviews, supplementary Questions. And students showed meaningful changes in 'the need of cooperative learning', 'critical thinking', 'the acceptance of thoughts of others'. Meanwhile, there were possibilities what all the members of one group can't recognize their errors in STAD, so we proposed 'Tongsinsa'. And we presented concrete methods how to reconstruct groups and somethings to consider when students are not satisfied with the group activities.

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Sprinkler Layout Optimization Based on Fire Simulation and Mathematical Programming including Installation and Damage Costs (설치비와 피해액의 정형화를 통한 화재 시뮬레이션 및 수리계획법에 기반을 한 스프링클러의 배치 최적화)

  • Lee, Ki-Jun;Shin, Young-Sup T.;Hong, Gi-Hoon;Joo, Ki-Don;Shin, Dong-Il;Kim, Tae-Ok
    • Journal of the Korean Institute of Gas
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    • v.16 no.2
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    • pp.52-59
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    • 2012
  • The sprinkler system is regarded as the most effective fire extinguishing system. In this study, we proposed a sprinkler layout optimization framework based on fire simulation and mathematical programming. As a case study, the target space in the form of ordinary residence was set up with the size of $5.2m(L){\times}5.4m(W){\times}2.4m(H)$, and we constructed the fire scenario that polyurethane couch was ignited through carelessness. And we simulated and analyzed fire speed, temperature change and heat release rate according to the type and number of sprinklers installed. Through the formulation of installation and damage costs depending on sprinklers, the sprinkler layout showing optimal performance was resulted from mathematical programming.

Suggestions for Improving Computational Thinking and Mathematical Thinking for Artificial Intelligence Education in Elementary and Secondary School (초·중등 인공지능 교육에서 컴퓨팅 사고력 및 수학적 사고력 향상을 위한 제언)

  • Park, Sang-woo;Cho, Jungwon
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2022.10a
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    • pp.185-187
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    • 2022
  • Because of the rapid change in the educational paradigm in the Fourth Industrial Revolution Era, Artificial Intelligence (AI) Education is becoming increasingly important today. The 2022 Revised Curriculum focuses on AI Education that can cultivate the fundamental skills and competencies needed in the future society. The following are the directions presented in this study for improving computational thinking and mathematical thinking in AI Education in elementary and secondary schools. First, studying teaching principles that allow students to understand AI concepts and principles and develop their ability to solve real-life problems is necessary in terms of computational thinking skills education. Second, an educational program is required for students to acquire algorithms using formulas and learn principles in the process of computers thinking like humans as part of their mathematical thinking ability to understand AI. A study on expectations through the analysis of competent learning effects that may arise from the relationship between instructors and learners was proposed as a future research project.

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