• Title/Summary/Keyword: Mathematics 1

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THE NORMALIZED LAPLACIAN ESTRADA INDEX OF GRAPHS

  • Hakimi-Nezhaad, Mardjan;Hua, Hongbo;Ashrafi, Ali Reza;Qian, Shuhua
    • Journal of applied mathematics & informatics
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    • v.32 no.1_2
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    • pp.227-245
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    • 2014
  • Suppose G is a simple graph. The ${\ell}$-eigenvalues ${\delta}_1$, ${\delta}_2$,..., ${\delta}_n$ of G are the eigenvalues of its normalized Laplacian ${\ell}$. The normalized Laplacian Estrada index of the graph G is dened as ${\ell}EE$ = ${\ell}EE$(G) = ${\sum}^n_{i=1}e^{{\delta}_i}$. In this paper the basic properties of ${\ell}EE$ are investigated. Moreover, some lower and upper bounds for the normalized Laplacian Estrada index in terms of the number of vertices, edges and the Randic index are obtained. In addition, some relations between ${\ell}EE$ and graph energy $E_{\ell}$(G) are presented.

Introduction of the TIMSS and its Implications for Korean Mathematics Education (TIMSS에 대한 소개와 TIMSS가 한국 수학교육에 주는 시사점)

  • 박만구;전경순;정인철
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.89-96
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    • 1998
  • The purpose of this paper was to introduce 'The Third International Mathematics and Science Study'(TIMSS) to the mathematics education society in Korea, and to address current discussion about the TIMSS from the view of three Korean authors who are currently enrolled in an American university. This paper consisted of three parts: (1) The structure and organization of the TIMSS, (2) The analyses on test items from three populations of student groups, curricula and textbooks, questionnaires from students and teachers, video study, and case studies, (3) The discussion of various perspectives for mathematics education in Korea. The authors pointed out that the TIMSS was not just an international comparison study designed for ranking each of the 41 participating countries, but a study providing some insights for Korean mathematics education.

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Objectives and Learning Activities in the Mathematics Curriculum

  • Ediger, Marlow
    • The Mathematical Education
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    • v.23 no.1
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    • pp.53-65
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    • 1984
  • Teachers need to provide a variety of learning experiences for pupils in elementary school mathematics. This is necessary due to pupils (a) achieving at diverse levels of accomplishment in the mathematics curriculum. (b) individually possessing different learning styles. The following, among others, can be relevant learning activities to present to pupils: 1. using a selected series of elementary school mathematics textbooks. 2. utilizing the flannel board to guide individual pupil achievement in mathematics. 3. helping pupils attach meaning to learning through the use of markers. 1. guiding pupils in learning by using place value charts. 5. aiding learner achievement through the use of transparencies and the overhead projector. 6. stimulating learner interest in mathematics with the use of selected filmstrips. 7. using graphs in functional situations. 8. helping young pupils to develop interest in numbers by singing songs directly related to ongoing units of study in elementary school mathematics. 9. using the geoboard to help pupils experience the world of geometry. 10. providing drill and practice for pupils so that previous developed learnings will not be forgotten.

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Designing Mathematics Curriculum Focusing on Continuity of Kindergarten and First Grade (유치원과 초등 1학년의 연계성을 강조한 수학과 교육과정의 구성 방안 연구)

  • Chang, Hyewon
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.631-655
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    • 2015
  • Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.

A Study on Identity of Elementary School Mathematics in Korea (우리 나라 초등학교 수학의 정체성에 관한 연구)

  • 박교식
    • Journal of Educational Research in Mathematics
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    • v.8 no.1
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    • pp.89-100
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    • 1998
  • In this paper, it is insisted that elementary school mathematics has its own identity, Since it can be found out that is not precisely, rigidly, or deductively developed in elementary school mathematics, it must be regarded as a property of elementary school mathematics. But elementary school mathematics and mathematics as a discipline are not different totally. In this paper, it is stressed that they do not share some attributes of each other.

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Directions for using writing in mathematics education (수학 교육에서의 쓰기(writing)의 활용 방향)

  • 김용익
    • School Mathematics
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    • v.1 no.2
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    • pp.589-603
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    • 1999
  • Writing in mathematics education is widely used in foreign countries. In this respect, it needs to consider the possibility and directions and directions for using writing in mathematics education. For this purpose, three perspectives - constructivism, socio-cultural perspective, symbolic interactionism - on communication in mathematics education have been reviewed. Then the past research on writing in general and using writing in mathematics education was summarized. Finally, directions for using writing in our mathematics class were suggested.

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A STUDY ON THE INTEGRATED APPROACH FOR CHARACTER EDUCATION IN MATHEMATICS EDUCATION

  • CHUNGHYUN YU
    • Journal of Applied and Pure Mathematics
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    • v.5 no.1_2
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    • pp.55-68
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    • 2023
  • Character education is an important educational purpose in the current situation of secondary mathematics education. In the current mathematics curriculum, character education is mentioned in terms of core competencies. However, it is very difficult to concretely practice character education in secondary mathematics education. This paper examines the theoretical background of character education in the tradition of mathematics education, and suggests that mathematics is regarded as a practical tradition by the nature of mathematics from a value-intrinsic perspective. In this respect, mathematics education is defined as an intrinsic and nurturing character through long history of practice. This paper searched for an integrated approach to practicing character education in of secondary mathematics education, and argued that the teacher's personal approach including the class model approach of the human factors by an example of the exponential law aman = am+n and the value-oriented activities according to the nature of the mathematics was the core.

A Study on 7th Probability and Statistics Education In Mathematics 1 Textbooks in Korea (수학 I 검정교과서 확률통계 영역에 대한 연구)

  • Lee Sang Bock;Sohn Joong-Kweon;Chung Sung Suck
    • The Korean Journal of Applied Statistics
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    • v.18 no.1
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    • pp.197-210
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    • 2005
  • In Korea, mathematics education has been taken according to the 7th national mathematics curriculum renovated by the Ministry of Education and Human Resources Development announcement in 1997. The education of probability and Statistics has been carried out as a part of this curriculum. We analyze and compare mathematics 1 textbooks for 11-12 grade students. Descriptions of random variable, sample variance and sample standard deviation, distribution of sample mean, and etc. which are on some textbooks, are misleaded in school education. We suggest the unbiased estimator of sample variance in accordance with textbooks and central limit theorem of sample mean under normal population.