• Title, Summary, Keyword: mathematical ecology

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A Study on the Direction of Mathematics Education according to the Perspective of the Classroom Ecology (교실생태학적 관점에 따른 수학교육의 방향 탐색)

  • Lee, Dae-Hyun
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.1-12
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    • 2011
  • This paper provides an outline of mathematics education based on the classroom ecology. Ecology is the subject that concentrates on the relations of human and environment. As mathematics education consists of many factors, it is natural that mathematics education should be interest in the perspective of ecology. This paper examines the meaning of ecology and classroom ecology of mathematics education in the perspective of ecology. And it provides the directions of ecological mathematics education. In special, I set the frame of mathematics classroom in the perspective of ecology. The ecological structure divides microsystem(teacher, student, content), mesosysten(relations of microsystems), exosystem(school), and macrosystem(the objects of mathematics education). Lastly, I suggest the ways of mathematical learning and research of classroom ecology in mathematics education. For we should focus the improvement of students' mathematical ability, we must search for the various teaching and learning methods and the ares of research in the perspective of ecology classroom. Therefore, we should be interested in the classroom environments as well as teaching methods, contents based on the ecology classroom in mathematics education.

The Effects of Mathematical Games with Motion on Young Children's Development (운동요소가 포함된 수학게임이 유아발달에 미치는 효과)

  • Chang, Bo-Kyung
    • Korean Journal of Human Ecology
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    • v.19 no.2
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    • pp.271-283
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    • 2010
  • This study was planned to investigate the effects of mathematical games with motion on young children's development. The study was performed to compose mathematical games with motion and just mathematical games for young children. The games were set up to be executed 16 times for 8 weeks. The results of this study were as follows: Mathematical games with motion had a significant effect on young children's mathematical problem-solving ability. Mathematical games with motion had a significant effect in every category on young children's ability for motion competence and mathematical games with motion had a significant effect on young children's socio-emotional development. There were significant differences between the control group and the experimental group except for the independence from teachers and peer interaction. Mathematical games with motion had a significant effect on young children's language ability.

The Effects of family Related Mathematical Inquiry Activities Based on Daily Experiences on the Young Children's Mathematical Abilities (가정과 연계된 일상경험을 통한 수학적 탐구활동이 유아의 수학적 능력에 미치는 영향)

  • Kim, Seong-Mi;Ahn, Jin-Kyeong
    • Korean Journal of Human Ecology
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    • v.17 no.5
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    • pp.821-833
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    • 2008
  • The purpose of this study was to investigate the effects of family related mathematical inquiry activities based on daily experiences on the young children's mathematical abilities. 38 three-years old children were selected from kindergarten in K City, Jeon-buk Province. Children were divided into 19 children for experimental group and 19 children for control group. And for the 5 weeks, the children in the experimental group participated in family related mathematical inquiry activities based on daily experiences. The Stanford Early School Achievement Test were used as both pre-test and post-test for the children's mathematical ability. And the data were analyzed by Independent-Sample t-test and ANCOVA. The results shows that the family related mathematical inquiry activities based on daily experiences had enhanced the children's mathematical abilities.

Mathematical models for population changes of two interacting species (상호작용하는 두 생물 종의 개체 수 변화에 대한 수학적 모델)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.25 no.1
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    • pp.45-56
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    • 2012
  • Mathematical biology has been recognized its importance recently and widely studied in the fields of mathematics, biology, medical sciences, and immunology. Mathematical ecology is an academic field that studies how populations of biological species change as times flows at specific locations in their habitats. It was the earliest form of the research field of mathematical biology and has been providing its basis. This article deals with various form of interactions between two biological species in a common habitat. Mathematical models of predator-prey type, competitive type, and simbiotic type are investigated.

A Historical Study on the Representations of Diffusion Phenomena in Mathematical Models for Population Changes of Biological Species (생물 종의 개체 수 변화를 기술하는 수학적 모델의 확산현상 표현에 대한 역사적 고찰)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.29 no.6
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    • pp.353-363
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    • 2016
  • In mathematical population ecology which is an academic field that studies how populations of biological species change as times flows at specific locations in their habitats, PDE models have been studied in many aspects and found to have different properties from the classical ODE models. And different approaches to PDE type models in mathematical biology are still being tried currently. This article investigate various forms to express diffusion effects and review the history of PDE models involving diffusion terms in mathematical ecology. Semi-linear systems representing the spatial movements of each individual as random simple diffusion and quasi-linear systems describing more complex diffusions reflecting interspecific interactions are studied. Also it introduce a few of important problems to be solved in this field.

Researches in 1900's on cooperative population dynamics (협력형 개체 수 동역학에 대한 1900년대 연구)

  • Chang, Jeongwook;Shim, Seong-A
    • Journal for History of Mathematics
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    • v.33 no.3
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    • pp.167-177
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    • 2020
  • Cooperative behavior may seem contrary to the notion of natural selection and adaptation, but is widely observed in nature, from the genetic level to the organism. The origin and persistence of cooperative behavior has long been a mystery to scientists studying evolution and ecology. One of the important research topics in the field of evolutionary ecology and behavioral ecology is to find out why cooperation is maintained over time. In this paper we take a historical overview of mathematical models representing cooperative relationships from the perspective of mathematical biology, which studies population dynamics between interacting biological groups, and analyze the mathematical characteristics and meanings of these cooperative models.

A Survey Study of Parents' Perceptions on Status of Parent-Child Mathematical Interaction and Use of Mathematical Materials at home (부모 인식을 통한 가정에서의 부모-자녀 간 수학적 상호작용 및 수학 관련 놀잇감 활용 실태 조사 연구)

  • Lee, Hyun-Kyung
    • Korean Journal of Human Ecology
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    • v.20 no.4
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    • pp.745-757
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    • 2011
  • The purpose of this study was to explore status of mathematical interactions between parent and child and use of mathematical materials at home. For this purpose, questionnaires were developed. The framework of the questionnaires consisted of mathematics education content domains. 276 parents(4-5 year old children) in J Province responded to the questionnaires, which were analyzed according to the level of home income, the mother's work conditions and the mother's level of education. The results were as follows: First, between parent and child mathematical interaction at home showed a 2.84 score in average and frequency of mathematical interaction expressed in the domains of 'Understanding of regularity', 'Measurement', 'Growing number sense', 'Space and shapes', 'Organizing data and showing results'. The domains of 'Growing number sense', 'space and shapes', and 'measurement' showed significant difference only by mother's level of education. The higher the mother's level of education, the more frequent the mathematical interaction between parent and child. Second, the use of mathematical materials showed an average score of 1.18, which means mathematical materials were practically not used at home. Also, the use of mathematical materials showed a slightly significant difference when measures against the levels of home income and the mother's level of education. The results showed a significant difference in parent-child mathematical interactions, and the possession and use of mathematical materials when measures against by level of home income and the mother's work conditions. Therefore, the results of this study suggest that the parent education program for mathematical interaction to apply at home and mathematics curriculum to be connected early in childhood education institution and home should be developed for parents.

A study on mathematical models describing population changes of biological species (생물 종의 개체 수 변화를 기술하는 수학적 모델에 대한 고찰)

  • Shim, Seong-A
    • Journal for History of Mathematics
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    • v.24 no.2
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    • pp.47-59
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    • 2011
  • Various mathematical models have been widely studied recently in both fields of mathematics and ecology since they help us understand the dynamical process of population changes in biological species living in a certain habitat and give useful predictions. The world population model proposed by Malthus, a British economist, in his work 'An Essay on the Principle of Population' published in the period of 1789~1826 is one of the early mathematical models on population changes. Malthus' models and the carrying capacity models of Verhulst in 1845 were based on exponential type functions. The independent research field of mathematical ecology has been started from Lotka's works in 1920's. Since then various different mathematical models has been proposed and examined. This article mainly deals with single species population change models expressed in terms of ordinary differential equations.

Modeling the Dynamics and Control of Transmission of Schistosoma japonicum and S. mekongi in Southeast Asia

  • Ishikawa, Hirofumi;Ohmae, Hiroshi
    • The Korean Journal of Parasitology
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    • v.47 no.1
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    • pp.1-5
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    • 2009
  • A mathematical model for transmission of schistosomes is useful to predict effects of various control measures on suppression of these parasites. This review focuses on epidemiological and environmental factors in Schistosoma japonicum and Schistosoma mekongi infections and recent advances in mathematical models of Schistosoma transmission.

VBioindex: A Visual Tool to Estimate Biodiversity

  • Yu, Dong Su;Yoo, Seung Hwa
    • Genomics & Informatics
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    • v.13 no.3
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    • pp.90-92
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    • 2015
  • Biological diversity, also known as biodiversity, is an important criterion for measuring the value of an ecosystem. As biodiversity is closely related to human welfare and quality of life, many efforts to restore and maintain the biodiversity of species have been made by government agencies and non-governmental organizations, thereby drawing a substantial amount of international attention. In the fields of biological research, biodiversity is widely measured using traditional statistical indices such as the Shannon-Wiener index, species richness, evenness, and relative dominance of species. However, some biologists and ecologists have difficulty using these indices because they require advanced mathematical knowledge and computational techniques. Therefore, we developed VBioindex, a user-friendly program that is capable of measuring the Shannon-Wiener index, species richness, evenness, and relative dominance. VBioindex serves as an easy to use interface and visually represents the results in the form of a simple chart and in addition, VBioindex offers functions for long-term investigations of datasets using time-series analyses.