• 제목/요약/키워드: conceptual mathematics

검색결과 204건 처리시간 0.023초

The Impact of Integrating Engineering into Science Learning on Student's Conceptual Understandings of the Concept of Heat Transfer

  • ;남윤경
    • 대한지구과학교육학회지
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    • 제4권2호
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    • pp.89-101
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    • 2011
  • Science, Mathematics, Engineering, and Technology (STEM) integrated education has been spotlighted as a new approach for promoting students' conceptual understanding and supporting their future career in STEM field. There is increasing evidence of the positive impact of using a whole design process that can be an example of STEM integrated activities to improve students' conceptual understanding and problem solving skills. However, there is a lack of information on how teachers should accomplish science and engineering integration activities in their classroom and what process they should pay attention. To answer this question, we research the relationship between an design process and students' conceptual understanding using an engineering design activity, called 'Save the Penguins', and study on how each step in an engineering design process in this activity enhance students' conceptual knowledge in science. We found that testing their prototypes and discussing with their peers were the most important process for students to understand and apply science concept for their design, even though the whole engineering design process (demonstration about radiation, discussion about examples in our lives, and testing and reviewing their prototypes, and making final design) helps the students understand the scientific concepts.

십진블록을 활용한 소수의 나눗셈 지도에서 초등학교 5학년 학생들의 개념적 이해 과정 분석 (An Analysis on the Process of Conceptual Understanding of Fifth Grade Elementary School Students about the Division of Decimal with Base-Ten Blocks)

  • 방정숙;김수정
    • 대한수학교육학회지:수학교육학연구
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    • 제17권3호
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    • pp.233-251
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    • 2007
  • 본 연구는 주로 알고리즘 위주로 학습되는 소수의 나눗셈 지도에 반하여 십진블록을 활용하여 초등학교 5학년 학생들이 소수의 나눗셈을 보다 의미 있게 학습할 수 있는지를 면밀하게 탐색하였다. 연구결과 학생들은 다양한 소수의 나눗셈 문제를 십진블록으로 모델링하여 계산하는 과정을 통해 연산의 의미를 개념적으로 이해할 수 있었고, 알고리즘의 각 단계를 십진블록의 조작활동과 연결하여 설명함으로써 계산 원리를 터득할 수 있었다. 또한 소수의 나눗셈 계산 결과를 연산의 의미와 연결하여 개념적으로 설명할 수 있었다. 이를 통하여 본 연구는 구체적인 수업 사례를 바탕으로 소수 나눗셈 지도 방안에 대한 시사점을 제공한다.

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십진블록을 활용한 소수의 곱셈 지도에서 초등학교 5학년 학생들의 개념적 이해 과정 분석 (An Analysis on the Process of Conceptual Understanding of Fifth Grade Elementary School Students about the Multiplication of Decimal with Base-Ten Blocks)

  • 김수정;방정숙
    • 한국초등수학교육학회지
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    • 제11권1호
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    • pp.1-21
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    • 2007
  • 본 연구는 초등학교 5학년 학생들에게 십진블록을 활용하여 소수의 곱셈을 지도하는 과정에서 학생들의 개념적 이해 과정을 면밀히 분석함으로써 십진블록을 활용한 소수의 곱셈 지도 과정에 대한 시사점을 제공하는데 그 목적이 있다. 십진블록을 활용한 소수의 곱셈 지도에서 초등학교 5학년 학생들은 주어진 문제에서 각 연산의 의미를 개념적으로 이해하고 해석하였으며 그 의미에 따라 십진블록으로 모델링하여 계산하였다. 학생들은 십진블록을 이용한 계산 과정을 통해 알고리즘을 발견하고 알고리즘의 각 단계를 십진블록과 연결하여 설명함으로써 계산 원리를 개념적으로 이해하였다 또한 소수의 곱셈 계산 결과가 올바른지 판단하고 그 이유를 십진블록으로 설명함으로써 소수의 곱셈 계산 결과를 각 연산의 의미와 연결하여 개념적으로 이해하였다. 이런 측면에서 본 연구는 십진블록을 활용한 소수의 곱셈 지도가 초등학교 5학년 학생들의 소수의 곱셈에 대한 개념적 이해를 도울 수 있는 한 방안이 됨을 시사한다.

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대학 수학교육 연구의 동향과 과제 (Research Trends and Tasks in Collegiate Mathematics Education)

  • 권오남;주미경
    • 한국수학교육학회지시리즈A:수학교육
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    • 제42권2호
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    • pp.229-245
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    • 2003
  • In this paper, we present a review of research perspectives and investigations in collegiate mathematics education from the four decades of development in the journal published by Korea Society of Mathematical Education. Research of mathematics education at the tertiary level, which had been a minor area in mathematics education, has made a significant development in the last decade in Europe md U.S.A. In this context, international journals for research in mathematics education were selected to comparatively examine and identify research trends and tasks in collegiate mathematics education. Based on the analysis of domestic at international journals, we present recommendations for further the development of Korean collegiate mathematics education research. First it is necessary to diversify the topics of educational research. Korean research of mathematics education at the tertiary level has been limited to the issues of curriculum developments, teacher education and computer technology. It is necessary to pursue more various topics such as conceptual development mathematical attitude and belief gender, socio-cultural aspect of teaching and teaming mathematics. Second, it is necessary to apply research methods for systematic investigations. It is important to note that international research of mathematics education introduces variety of research methods such as observation, interview, and survey in order to develop grounded theory of mathematics education. We end with pedagogical implications of the analyses presented and general conclusions concerning the perspectives for the future in collegiate mathematics education.

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Development of a multidisciplinary design optimization framework for an efficient supersonic air vehicle

  • Allison, Darcy L.;Morris, Craig C.;Schetz, Joseph A.;Kapania, Rakesh K.;Watson, Layne T.;Deaton, Joshua D.
    • Advances in aircraft and spacecraft science
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    • 제2권1호
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    • pp.17-44
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    • 2015
  • A modular multidisciplinary analysis and optimization framework has been built with the goal of performing conceptual design of an advanced efficient supersonic air vehicle. This paper addresses the specific challenge of designing this type of aircraft for a long range, supersonic cruise mission with a payload release. The framework includes all the disciplines expected for multidisciplinary supersonic aircraft design, although it also includes disciplines specifically required by an advanced aircraft that is tailless and has embedded engines. Several disciplines have been developed at multifidelity levels. The framework can be readily adapted to the conceptual design of other supersonic aircraft. Favorable results obtained from running the analysis framework for a B-58 supersonic bomber test case are presented as a validation of the methods employed.

Examination of Prospective Teachers' Perceptions on Mathematical Concepts and Their Potential Teaching Strategies

  • Lee, Ji-Eun
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제18권1호
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    • pp.55-74
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    • 2014
  • This study examined the potential teaching strategies of prospective elementary teachers and their perceptions of the procedural/conceptual nature of examples. Fifty-four prospective teachers participated in this study, engaging in two-phase tasks. Analysis of data indicated that: (a) Overall, the participants' perceptions were geared toward putting emphasis on conceptual understanding rather than procedural understanding; but (b) Generally, procedure-oriented strategies were more frequently incorporated in participants' potential teaching plans. This implied that participants' preconceived ideas regarding math examples were not always reliable indicators of their potential teaching strategies. Implications and suggestions for mathematics teacher preparation are discussed.

A Comparative Study of South Korea and Turkey: Attitudes, Beliefs, and Creative Student Oriented Teaching Practices of Middle School Mathematics Teachers

  • Corlu, M. Sencer;Erdogan, Niyazi;Sahin, Alpaslan
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제15권3호
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    • pp.295-310
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    • 2011
  • Teachers' attitudes and beliefs are related to teaching practices and are dependent upon their teaching domain. The present study compares conceptual models of creative student oriented teaching practices of mathematics teachers in two OECD countries, South Korea and Turkey to provide an insight for teacher educators and policy makers. Teaching and Learning International Survey 2008 (TALIS 2008) data are used to test the fit of a path analysis model with a subsample of l337 middle school mathematics teachers ($N_{Korea}$ = 562 vs. $N_{Turkey}$ = 775). The study showed that Turkish teachers were younger and less experienced, whereas Korean teachers were better educated. Despite the statistical differences in attitudes, beliefs and practices between countries, it was found that the teaching practices of mathematics teachers in both countries were more complex than to be explained only through attitudes and beliefs.

미국 초등학교 교사의 학생중심 수학교실문화 형성사례 및 교수법 개발에 관한 소고 (An American elementary school teacher's teaching practice toward student-centered mathematics classroom culture)

  • 방정숙
    • 대한수학교육학회지:학교수학
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    • 제4권3호
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    • pp.415-433
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    • 2002
  • The mathematics education community is seeking to change a teacher-centered class-room culture to a student-centered culture. However, the real transition is not easy, even for teachers who are eager and willing to teach differently. The challenge for teachers is to use the social structure of the classrooms to nurture students' development toward mathematical ways of thinking and communicating as well as their under-standing of mathematical concepts and processes. By introducing an elementary teacher's teaching practice and professional develop-ment along with her classroom episodes, this paper is to make strides toward an enriched understanding of the culture of the elementary mathematics classrooms in which students may have a lot of opportunities to develop conceptual under standing and math-ematical disposition. This paper first provides a detailed description of the classroom flow in terms of general social norms and sociomathematical norms in order to explore how the teacher and the students have established such a student-centered math-ematics microculture. This paper then analyzes the teacher's teaching approach and professional development.

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공간과제의 지도 방안에 관한 연구 -'2-가'와 '3-가' 단계의 공간감각 기르기 소 영역을 중심으로- (A Study on Teaching Methods of Special Tasks - on the emphasis of special sense at the levels of 2-Ga and 3-Ga -)

  • 한기완
    • 대한수학교육학회지:학교수학
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    • 제3권2호
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    • pp.355-372
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    • 2001
  • The primary school mathematics emphasizes some activities such as visualizing figures, drawing figures and comparing figures from various angles. These activities could be undertaken throughout examination, experiments and exploration of the substantial materials. They could also be undertaken by using the objects found in a daily life informally. The 7th curriculum of mathematics reflects this trend and includes the systematized activities in teaching spatial sense in geometry. However, it still requires more researches on the teaching methodology of spatial sense and the conceptual analysis of spatial sense. In this study, the concept of spatial sense is analyzed and Mackim's 3-levels teaching methodology and Bruner's EIS theory and suggestions are reviewed as a possible teaching methodology of spatial tasks. As a conclusion, this study suggests a teaching-learning methodology of spatial tasks at the levels of 2-GA and 3-Ga of the 7th curriculum of mathematics.

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Studying the Effects of Korean Mathematics on American Teachers in Mid-America

  • Grow-Maienza, Janice
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제12권2호
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    • pp.151-165
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    • 2008
  • Asian mathematics curricula and textbooks are being recognized in the United States as at least partial explanation for the higher mathematics achievement of students in Asian countries compared to students in the United States. As a result there is considerable interest among many educators in the United States in curricula from Singapore and curricula from Japan. In addition, researchers and educators at one university in the American heartland have been using the English translations of a Korean primary mathematics curriculum for professional development and assessment with groups of Missouri teachers for the purpose of enhancing teachers' understanding of the fundamentals of mathematics, and in hopes of raising student achievement scores. A professional development initiative begun seven years ago and revived this year will entail a rigorous assessment which will be reported in 2009. Results of assessment of the earlier initiatives are reported here.

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