• Title/Summary/Keyword: Mathematical activities

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A Model for Constructing Learner Data in AI-based Mathematical Digital Textbooks for Individual Customized Learning (개별 맞춤형 학습을 위한 인공지능(AI) 기반 수학 디지털교과서의 학습자 데이터 구축 모델)

  • Lee, Hwayoung
    • Education of Primary School Mathematics
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    • v.26 no.4
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    • pp.333-348
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    • 2023
  • Clear analysis and diagnosis of various characteristic factors of individual students is the most important in order to realize individual customized teaching and learning, which is considered the most essential function of math artificial intelligence-based digital textbooks. In this study, analysis factors and tools for individual customized learning diagnosis and construction models for data collection and analysis were derived from mathematical AI digital textbooks. To this end, according to the Ministry of Education's recent plan to apply AI digital textbooks, the demand for AI digital textbooks in mathematics, personalized learning and prior research on data for it, and factors for learner analysis in mathematics digital platforms were reviewed. As a result of the study, the researcher summarized the factors for learning analysis as factors for learning readiness, process and performance, achievement, weakness, and propensity analysis as factors for learning duration, problem solving time, concentration, math learning habits, and emotional analysis as factors for confidence, interest, anxiety, learning motivation, value perception, and attitude analysis as factors for learning analysis. In addition, the researcher proposed noon data on the problem, learning progress rate, screen recording data on student activities, event data, eye tracking device, and self-response questionnaires as data collection tools for these factors. Finally, a data collection model was proposed that time-series these factors before, during, and after learning.

Analysis of activities task using multiple intelligence in middle school 「Technology·Home Economics」 textbooks - Focusing on the 'Dietary Life' unit according to the curriculum of the 2015 revised Practical Arts(Technology·Home Economics) curriculum - (중학교 기술·가정 교과서 다중지능 활용 활동과제 분석 - 2015 개정 실과(기술·가정) 교육과정에 따른 '식생활' 단원을 중심으로 -)

  • Choi, Seong-Youn;Lee, Young-Sun;Choi, Ye-Ji;Joo, Hyun-Jung;Kim, Seung-Hee;Park, Mi-Jeong
    • Journal of Korean Home Economics Education Association
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    • v.30 no.3
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    • pp.19-42
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    • 2018
  • The purpose of this study is to analyze the tasks of 'dietary life' in the textbook developed according to the 2015 revised middle school 「Technology·Home economics」 education curriculum based on the multiple intelligence teaching and learning methods. To accomplish this purpose, 12 textbooks of middle school 「Technology·Home economics」 textbooks were titled "Nutrition and Dietary Behavior of Adolescents", "Planning and Choosing Meals", "Choosing Foods and Safe Cooking" except the questions, the tasks that the students can perform are analyzed based on the teaching and learning methods using multiple intelligences. Analysis methods were analyzed by using contents analysis method, focusing on learning activities, and sub-questions of activities were all included in each activity, and the process of preparing activities on a continuous line was grouped into one. Three people analyzed the activities and proceeded to revise and supplement the analysis standard through consultation. The other three researchers confirmed it. As a result of analyzing 12 kinds of textbooks, the number of activity tasks was 25~74 for each kind of textbooks, and the total number of activities was 527. According to the ratio of multiple intelligences, 35% of the tasks were using logical-mathematical intelligence, and 26.8% of linguistic intelligence, 23% of intrapersonal intelligence, 7.2% of interpersonal intelligence, 3.8% of spatial intelligence, bodily-kinesthetic(2.7%) and musical intelligence(1.5%). On the other hand, it was analyzed that there is no activity task using naturalist intelligence. Except to the naturalist intelligence, general intelligence was utilized. This indicates that the home economics curriculum is a convergence of the home economics curriculum in that it is a reorganization by extracting the contents and methods of other curriculum related to dietary life, is interpreted. This study is expected to provide a framework for various teaching and learning methods to activate students' participation classes and to provide an alternative to realize convergence education in home economics curriculum.

The Effects of Inductive Activities Using GeoGebra on the Proof Abilities and Attitudes of Mathematically Gifted Elementary Students (GeoGebra를 활용한 귀납활동이 초등수학영재의 증명능력 및 증명학습태도에 미치는 영향)

  • Kwon, Yoon Shin;Ryu, Sung Rim
    • Education of Primary School Mathematics
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    • v.16 no.2
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    • pp.123-145
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    • 2013
  • This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

A Study on the Combustion Characteristics of Spark Ignition Engine by the Thermodynamic Properties Model (열역학적 물성치 모델에 의한 스파크 점화기관의 연소특성에 관한 연구)

  • Han, Sung Bin
    • Journal of Energy Engineering
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    • v.23 no.1
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    • pp.75-80
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    • 2014
  • The past several years have seen a substantial growth in mathematical modeling activities whose interests are to describe the performance, efficiency and emissions characteristics of various types of internal combustion engines. The key element in these simulations of various aspects of engine operation is the model of the engine combustion process. Combustion models are then classified into three categories: zero-dimensional, quasi-dimensional and multidimensional models. zero-dimensional models are built around the first law of thermodynamics, and time is the only independent variable. This paper presents a introduction to the combustion characteristics of a spark ignition combustion modeling by zero-dimensional model.

A Study on Bench Design Applied the Concept of Space (공간개념을 적용한 벤치디자인 개발 연구)

  • Jung, Myung-Taek;Yoon, Yeoh-Hang
    • Journal of the Korea Furniture Society
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    • v.23 no.1
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    • pp.75-83
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    • 2012
  • Space dominates all the art activities human do and plays a role of providing aesthetic emotion. Architecture, sculpture, painting, and furniture, etc. these two and three dimensional works are represented in space and interpreted the role of its form, structure and function. Each area is different, but space has been studied in philosophy, physics, geometry, and mathematical studies, etc. and has been consistently interpreted and represented relating to a variety of human creative activity. Furniture is also three dimensional art being dependent on space. In the United States in 2004, I made the living room bench by applying the spatial concept at Rochester Institute of Technology. Two years later, this design was adopted by wendell Castle Collection, an American furniture company, then prototype were made and tested three times during a year, and then since 2007 as indoor benches it has been manufactured in the United States. The study's purpose is to order the process of its development based on the experience of bench production applied the spatial concept, and by analyzing the properties of spatial concept, I am planning to propose a new concept on interaction with the space and furniture for next.

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A Brief Introduction to Marine Ecosystem Modeling (해양 생태모델링 고찰)

  • Kim, Hae-Cheol;Cho, Yang-Ki
    • The Sea:JOURNAL OF THE KOREAN SOCIETY OF OCEANOGRAPHY
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    • v.18 no.1
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    • pp.21-31
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    • 2013
  • Ecosystem models are mathematical representations of underlying mechanistic relationships among ecological components and processes. Ecosystem modeling is a useful tool to visualize inherent complexities of ecological relationships among components and the characteristic variability in ecological systems, and to quantitatively predict effects of modification of systems due to human activities and/or climate change. A number of interdisciplinary programs in recent 20 to 30 years motivated oceanographic communities to explore and employ systematic and holistic approaches, and as an outcome of these efforts, synthesis and modeling became a popular and important way of integrating lessons learned from many on-going projects. This is a brief review that includes: background information of ecosystem dynamics model; what needs to be considered in building a model framework; biologically-physically coupled processes; end-to-end modeling efforts; and parameterization and related issues.

An Improvement Program on Specially Supplementary Course in Mathematics for the Test and Teaching (수학과 특별보충과정 편성 및 운영에 관한 개선 방안)

  • Kim, Boo-Yoon;Kim, Ik-Pyo;Kim, Ae-Suk
    • Journal of the Korean School Mathematics Society
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    • v.9 no.3
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    • pp.363-384
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    • 2006
  • In general, teachers have opened a specially supplementary course for the underachivers in mathematics. But because of a lot of problems, the class has not been activated. So in this paper, for the purpose of maximizing the effect of the class, we introduce mathematical games and puzzles in the class for causing the students' interest in mathematics and adopt multi-step test, which is a test with multi level problems in a problem, for both selecting the underachivers in mathematics and supplementing learning deficiency. As a result of the process, the atmosphere of learning is positive and learning activities are voluntary and the altitude to the mathematics is improved.

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An Analysis on Contents Sentences for the Elementary Mathematics Curricula (초등학교 수학과 교육과정의 내용 문장 분석)

  • Kang, Wan
    • Journal of Educational Research in Mathematics
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    • v.25 no.3
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    • pp.449-460
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    • 2015
  • As a main body of a curriculum, a set of sentences stating mathematical contents plays an important role in teaching and learning mathematics. The contents sentences in the $7^{th}$ version, the 2007 version, and the 2009 version of elementary mathematics curricula were analysed. The elementary mathematics curriculum consists of about 200 contents sentences. The final endings of those sentences are the type of ability such as "to be able to ~". The elementary mathematics curriculum would be managed systematically by disassembling and restructuring those contents sentences. We should state students' activities more concretely by varying the final endings in the curriculum.

Exploring Beliefs and Stated-Actions of a Preservice Mathematics Teacher (예비교사의 수학교수학습에 대한 신념체계와 기술된 수업행동 분석)

  • Kim, Goo-Yeon
    • School Mathematics
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    • v.12 no.2
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    • pp.97-111
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    • 2010
  • The purpose of this study is to examine a preservice elementary mathematics teacher's beliefs and stated-actions in which she planned and implemented mathematical activities in a field experience within a mathematics methods course. Results show that the preservice teacher seemed to be dealing with conflicts and trying to resolve them in order to make sense to herself. Results also suggest that the preservice teacher's beliefs about how children learn seem to get confirmed through the field experiences so that she was able to articulate, which influence her experience of focusing on an individual child. This, in turn, induces her to elaborate her beliefs. These processes would explain her beliefs and actions as a sensible system.

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A Study on the Configuring Process of Secondary Mathematically Gifted about the Hyperbolic Plane Tessellation Using Dynamic Geometry Software (GSP의 쌍곡원반모형을 활용한 중학교 수학영재 학생들의 쌍곡평면 테셀레이션 구성과정에 관한 연구)

  • Lew, Hee Chan;Lee, Eun Joo
    • School Mathematics
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    • v.15 no.4
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    • pp.957-973
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    • 2013
  • This study analyzed Secondary Mathematically Gifted' mathematical thinking processes demonstrated from the activities. They configured regular triangle tessellations in the Non-Euclidean hyperbolic disk model. The students constructed the figure and transformation to construct the tessellation in the poincare disk. gsp file which is the dynamic geometric environmen, The students were to explore the characteristics of the hyperbolic segments, construct an equilateral triangle and inversion. In this process, a variety of strategic thinking process appeared and they recognized to the Non-Euclidean geometric system.

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