• 제목/요약/키워드: mathematics and science integrated instruction

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Analysis on the Theoretical Models Related to the Integration of Science and Mathematics Education: Focus on Four Exemplary Models

  • Lee, Hyon-Yong
    • 한국과학교육학회지
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    • 제31권3호
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    • pp.475-489
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    • 2011
  • The purposes of this study were to inform the exemplary models of integrated science and mathematics and to analyze and discuss their similarities and differences of the models. There were two steps to select the exemplary models of integrated science and mathematics. First, the second volume (Berlin & Lee, 2003) of the bibliography of integrated science and mathematics was analyzed to identify the models. As a second step, we selected the models that are dealt with in the School Science Mathematics journal and were cited more than three times. The findings showed that the following four exemplary theoretical models were identified and published in the SSM journal: the Berlin-White Integrated Science and Mathematics (BWISM) Model, the Mathematics/Science Continuum Model, the Continuum Model of Integration, and the Five Types of Science and Mathematics Integration. The Berlin-White Integrated Science and Mathematics (BWISM) Model focused an interpretive or framework theory for integrated science and mathematics teaching and learning. BWISM focused on a conceptual base and a common language for integrated science and mathematics teaching and learning. The Mathematics/Science Continuum Model provided five categories and ways to clarify the extent of overlap or coordination between science and mathematics during instructional practice. The Continuum Model of Integration included five categories and clarified the nature of the relationship between the mathematics and science being taught and the curricular goals for the disciplines. These five types of science and mathematics integrations described the method, type, and instructional implications of five different approaches to integration. The five categories focused on clarifying various forms of integrated science and mathematics education. Several differences and similarities among the models were identified on the basis of the analysis of the content and characteristics of the models. Theoretically, there is strong support for the integration of science and mathematics education as a way to enhance science and mathematics learning experiences. It is expected that these instructional models for integration of science and mathematics could be used to develop and evaluate integration programs and to disseminate integration approaches to curriculum and instruction.

수학과학통합교육의 설계 및 실행에 대한 연구 (A Study on the Design and Implementation of Mathematics and Science Integrated Instruction)

  • 이혜숙;임해미;문종은
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권2호
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    • pp.175-198
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    • 2010
  • To understand natural or social phenomena, we need various information, knowledge, and thought skills. In this context, mathematics and sciences provide us with excellent tools for that purpose. This explains the reasons why there is always significant emphasis on mathematics and sciences in school education; some of the general goals in school education today are to illustrate physical phenomena with mathematical tools based on scientific consideration, to encourage students understand the mathematical concepts implied in the phenomena, and provide them with ability to apply what they learned to the real world problems. For the mentioned goals, we extract six fundamental principles for the integrated mathematics and science education (IMSE) from literature review and suggest a instructional design model. This model forms a fundamental of a case study we performed to which the IMSE was applied and tested to collect insights for design and practice. The case study was done for 10 students (2 female students, 8 male ones) at a coeducational high school in Seoul, the first semester 2009. Educational tools including graphic calculator(Voyage200) and motion detector (CBR) were utilized in the class. The analysis result for the class show that the students have successfully developed various mathematical concepts including the rate of change, the instantaneous rate of change, and derivatives based on the physical concepts like velocity, accelerate, etc. In the class, they described the physical phenomena with mathematical expressions and understood the motion of objects based on the idea of derivatives. From this result, we conclude that the IMSE builds integrated knowledge for the students in a positive way.

Interdisciplinary Knowledge for Teaching: A Model for Epistemic Support in Elementary Classrooms

  • Lilly, Sarah;Chiu, Jennifer L.;McElhaney, Kevin W.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제24권3호
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    • pp.137-173
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    • 2021
  • Research and national standards, such as the Next Generation Science Standards (NGSS) in the United States, promote the development and implementation of K-12 interdisciplinary curricula integrating the disciplines of science, technology, engineering, mathematics, and computer science (STEM+CS). However, little research has explored how teachers provide epistemic support in interdisciplinary contexts or the factors that inform teachers' epistemic support in STEM+CS activities. The goal of this paper is to articulate how interdisciplinary instruction complicates epistemic knowledge and resources needed for teachers' instructional decision-making. Toward these ends, this paper builds upon existing models of teachers' instructional decision-making in individual STEM+CS disciplines to highlight specific challenges and opportunities of interdisciplinary approaches on classroom epistemic supports. First, we offer considerations as to how teachers can provide epistemic support for students to engage in disciplinary practices across mathematics, science, engineering, and computer science. We then support these considerations using examples from our studies in elementary classrooms using integrated STEM+CS curriculum materials. We focus on an elementary school context, as elementary teachers necessarily integrate disciplines as part of their teaching practice when enacting NGSS-aligned curricula. Further, we argue that as STEM+CS interdisciplinary curricula in the form of NGSS-aligned, project-based units become more prevalent in elementary settings, careful attention and support needs to be given to help teachers not only engage their students in disciplinary practices across STEM+CS disciplines, but also to understand why and how these disciplinary practices should be used. Implications include recommendations for the design of professional learning experiences and curriculum materials.

웹을 기반으로 한 자기 주도적 MITS -초등 수학 수와 연산 영역 중심- (Self-Directed MITS Based on the Web -The main theme is operation of numeral in primary school mathematics -)

  • 김동혁;고병오;최의인
    • 정보교육학회논문지
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    • 제8권3호
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    • pp.335-349
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    • 2004
  • 최근 과학기술의 급속한 발달로 인하여 컴퓨터를 활용하는 교육환경도 크게 변화하고 있다. 특히 인터넷의 빠른 성장으로 인해 웹 상의 교육정보가 기하급수적으로 증가되었으며, 이에 따라 수많은 교육용 웹 자료를 컴퓨터 보조 학습 매체로 활용하고 있다. 또한 CAI(Computer Assisted Instruction), ICAI(Intelligent CAI) 나 ITS(Intelligent Tutoring System) 등을 통해 컴퓨터를 수업 매체로 활용하는 방법도 많이 연구되고 있다. 그러나 기존의 시스템들은 다양한 수준의 학습자들에게 수준별로 적합한 학습 방법과 학습할 수 있는 방법이 효율적으로 제공되지 않고 있는 실정이다. 특히 현행 교육과정이 지향하고 있는 수준별 교육과정에 적합하지 않으면서 학생들의 능력, 적성, 필요, 흥미에 대한 개인차를 고려하지 않고 학생 개개인의 성장 잠재력과 교육의 효율성을 극대화하지 못하고 있다. 따라서 본 논문에서는 학습자에게 웹을 통하여 필요한 학습정보를 제공하고 자기 주도적으로 학습 할 수 있는 환경을 만들어주면서, 학습자의 특성, 흥미, 호기심, 능력에 따라 알맞은 학습효과를 충족시켜줄 수 있는 웹 기반 자기주도적 MITS(Multimedia ITS)를 제안하였다. 본 시스템에서는 개별 학습의 효과를 극대화하기 위해 초등 수학 전 학년 수와 연산 영역에서 과정별, 특성별, 연계별 학습내용을 체계화하여 내용과 학년을 통합하였고, 학습자가 학년, 학습시간과 장소의 제한에서 벗어날 수 있도록 4개의 모듈로 구성된 웹 기반 MITS를 설계 및 개발하였다.

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