• Title/Summary/Keyword: 수학과 교육과정 개발 과정

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Linear Algebra Teaching in the Digital Age (디지털 시대의 대학수학교육: 선형대수학을 중심으로)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Kyung-Eun
    • Communications of Mathematical Education
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    • v.31 no.4
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    • pp.367-387
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    • 2017
  • The educational environment in the digital age of the 21st century definitely affects teaching and learning methods to be changed. In addition, the perceptions and methods of mathematics education in the digital age have also been changing. This study proposes a university mathematics education model suitable for the digital age, which makes full use of the internet/digital environment and leads the students to participate in the learning processes. We apply the proposed model to Linear Algebra course, and present a concrete method of teaching and learning model including evaluation. This will be the first study on how to organize and operate digital courses in Korea in accordance with the mathematics education in the digital era which is rapidly spreading around the world.

An Analysis of Mathematical Modeling in the 3rd and 4th Grade Elementary Mathematics Textbooks (수학과 교육과정의 변화에 따른 초등학교 3,4학년 교과서의 수학적 모델링 관련 제시 방법 분석)

  • Jung, Seongyo;Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.19 no.1
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    • pp.103-122
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    • 2016
  • The purpose of this study was to analyze the sentences related with mathematical modeling in the third and fourth grade mathematics textbooks in accordance with changing of Korean mathematics curricula. In the preliminary analysis, the researchers used the criteria that Kim(2010) had analyzed Mathematics in Context[MiC], and analyzed South Korean textbooks from the perspective of mathematical modeling. The researchers revised them for the analysis criteria among South Korean elementary mathematics textbooks and employed them as the analysis framework of the present study. From the mathematical modeling perspective, the study reached the following conclusions in accordance with the change of textbooks from the 7th curriculum to the 2009 revised curriculum. The contexts of real-world situations presented in the textbooks are increased in all areas except Probability and Statistics areas, the methods of expression of mathematical model are diversified in all areas except Patterns area, and the communication types are also diversified and frequencies increased in all areas except Patterns area. Based on this research, several suggestions were made for the development of future textbooks.

How to Make National Assessment of Educational Achievement Better for Managing National Mathematics Curriculum (수학과 교육과정의 질 관리 측면에서 "국가수준 학업성취도 평가 연구" 내실화 방안 탐색)

  • Cho, Young-Mi
    • Journal of Educational Research in Mathematics
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    • v.16 no.3
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    • pp.199-220
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    • 2006
  • One of the main objectives of National Assessment of Educational Achievement (NAEA), which is implemented by Korea Institute of Curriculum and Evaluation(KICE), is to manage the qualities of National Curriculum. Thus we considered NAEA as the research for educational program assessment and tried to find out how to make NAEA better for achieving that objective. For the purpose of this paper we analyzed the present conditions of NAEA into four perspectives. And then according to each perspective we explored schemes for improving NAEA. In conclusion, we proposed the following; Firstly, in relation to assessing students' understanding of the mathematics contents, the meanings of Achievement Levels have to become much more clear and concrete. in relation to assessing for comparing student' understanding according to mathermatics content areas, the number of items has to be increased for elevating validities of NAEA. Thirdly, in relation to gathering the information about properties which are shown by the students in particular Achievement, it is necessary to think about how to produce items for the purpose in the step of developing items in NAEA. Finally in relation to collecting the data which can be useful for relevance of mathematics contents, it is necessary to make a special group of items for identifying relevance of mathematics contents, and to apply performance assessments on part of the students, not whole students.

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An Analysis on the Development Tendency of Teaching and Learning Materials for the Gifted Students in the Middle School (중등 수학영재 교수.학습자료 개발 동향 분석)

  • Jun, Sun-Mi;Yoo, Won-Sok
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.79-97
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    • 2011
  • As the necessity of the special education for the gifted to develop their talents and national power is gradually recognized, many kinds of teaching-learning materials have been developed. However, the development tendency of the materials is not systematically studied because their database is not sufficiently constructed nor most of them are made public. In this research, we would like to provide the reference data to improve the quality of developed materials and reduce the deviation among the classified fields when we will develop the teaching-learning materials by collecting the already developed materials and analyse their development tendency by classifying them according to the contents.

The Analysis of Mathematical Tasks in the High School Mathematics (고등학교 교과서의 수학과제 분석)

  • Kim, Mihee;Kim, Goo Yeon
    • School Mathematics
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    • v.15 no.1
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    • pp.37-59
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    • 2013
  • The purpose of this study was to examine and analyze the mathematical tasks in the high school textbooks. In particular, it aimed to reveal the overall picture of the level of cognitive demand of the mathematical tasks in the textbooks. We adopted the framework for mathematical task analysis suggested by Smith & Stein (1998) and analyzed the mathematical tasks accordingly. The findings from the analysis showed that 95 percent of the mathematical tasks were at low level and the rest at high level in terms of cognitive demand. Most of the mathematical tasks in the textbooks were algorithmic and focused on producing correct answers by using procedures.

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Teaching the Concept of Chance prior to Probability in Elementary School Mathematics (확률 개념을 위한 '가능성'의 지도 - 2009 개정 교육과정에 따른 초등학교 확률지도 방안 탐색-)

  • Chang, Hyewon
    • School Mathematics
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    • v.15 no.2
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    • pp.315-335
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    • 2013
  • Probability has distinctive characteristics which are different from other areas of school mathematics. The critical change can be noticed in the domain, 'probability and statistics' of 2009 revised national curriculum for elementary school mathematics. This indicates that the concept of chance is supposed to be taught in the 5~6 grade band instead of the definition of probability which is moved to the middle school level. The purpose of this study is to seek desirable methods for teaching the concept of chance which reflect the achievement criteria and the attention point for teaching and learning of the curriculum at the point of time when textbooks haven't yet been developed. To do this, based on theoretical considerations and comparative analysis of the curricula in the longitudinal - latitudinal dimensions respectively, the validity of the latest curriculum change was confirmed and several learning activities were devised. And then two lessons were planned for applying these activities to eight fifth graders and were implemented along the plan. As a result, the relevance of the learning activities was examined and students' difficulties in learning the concept of chance with educational implications were discussed.

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A Curriculum Development on the Robot Literacy Related with A mathematics and Science Curriculum For Elementary and Secondary School Students (초.중등 학생의 로봇교육을 위한 수학.과학과 교육과정 연계 로봇 소양 교육과정 개발)

  • Shin, Seung-Young;Cho, Hye-Kyung;Kim, Mi-Ryang
    • The Journal of Korean Association of Computer Education
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    • v.16 no.6
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    • pp.55-70
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    • 2013
  • This study tried to redesign a robot curriculum and proposed it for the purpose of enhancing, supporting sustainable development of robot in educations. For doing so, this study referred relevant existing literacy contents at robot literacy educations, and defined a robot literacy education. In addition, this study presented elements of robot literacy by dividing them into five kinds. In relation with the scope of robot literacy education suggested here, this study proposed basic robot area, measurement and observation along with robots based on three elements of robotics, movement and expression made by robots, my own robot design, and comprehensive activity area. Regarding to development stages of robot literacy, the study applied the classical model of curriculum development by Tyler (1949), and intended to secure validity and reliability on the curriculum composition, and then developed a curriculum after analyzing mathematics and science curriculums in existing elementary, middle schools accordingly.

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A Comparative Study of Mathematics Textbook Between 2009 Revised Curriculum and IB Diploma Program - The case of high school Algebra - (2009 개정 수학교육과정과 IBDP 수학과 교육과정에서의 교과서 비교 연구 - 고등학교 대수 영역을 중심으로 -)

  • Yang, Hyun Ju;Choa, Jun Soo;Choe, Seung Hyun
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.391-421
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    • 2015
  • The scientific technology developed rapidly and the internet became more popular, also, the world became interactive with one another and the word 'Global' became popular and built a new paradigm. As the development of the society, the ideal criteria for the competent student changed. Consequently, the attention for the globalized education increased. From the points of view of mathematical education, it became a important task to be prepared for international competitiveness for korean talented students. For theses reasons, this article analyzes the characteristics of IBDP and its textbook, which is an international official curriculum and one of the actualizing method for internalization Korean high school curriculum and text book, specifically, focusing on algebra part. Especially, Korean curriculum textbooks and the Mathematical Higher Level textbooks of IBDP was compared and analyzed. As a result, the depth and range of the content, standard level of the question, methods being used to explain the concept, type of questions as well as teaching - learning method were analyzed and in each chapter of the algebra we give meaningful result and proposed discussion.

Analysis of Change of Achievement Standards According to Curriculum of Mathematics in Elementary School: Focusing on Geometry Domain (초등학교 수학과 교육과정에 따른 성취기준 변화 분석: 도형 영역을 중심으로)

  • Kim, Hyunmi;Sihn, Hanggyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.437-457
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    • 2019
  • In this study, we analyzed how the content and achievement criteria of the Geometry domain of Korean elementary school mathematics curriculum have changed. To this end, based on the analysis framework based on the 2015 revised curriculum, the achievement standards for each period were classified into continuous, extinct, and additional types, and their characteristics were examined. In the domain of Geometry, continuous achievement standards accounted for 51% of the total, and there were many achievement standards that remained unchanged in grade and domain. The extinctive achievement standard is 20.4% of the total, and the mathematics contents that were rapidly introduced due to the modernization of mathematics in the 3rd curriculum were eliminated the most from the 4th curriculum, and after the 7th curriculum, With the introduction of staged curriculum and the system of school year group, the contents of learning were either integrated or moved to middle school. The additional achievement standard was 28.6% of the total, and the achievement standard was added the most with the introduction of spatial sensory development in the 7th curriculum. The GAct that the additivel achievement standard is more than the extinction achievement standard in the Geometry domain is the result of the efforts to actively introduce the geometric contents appropriate to the times despite the great flow of curriculum revision of the curriculum reduction. It is hoped that the results of these studies will be used as basic data in the formation of new achievement standards in future curriculum development.

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Development of Curricula on Geometry Related Courses for Training of Mathematics Teacher of Secondary Schools (중등 교사 양성을 위한 기하 영역의 교육과정 개발)

  • 박혜숙
    • The Mathematical Education
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    • v.42 no.4
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    • pp.503-521
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    • 2003
  • In this paper, we propose programs of geometry related courses for the department of mathematics education of teacher training universities. We suggest 4 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’, ‘Topology’ as geometry related courses in Shin et. al.(2003). Among those 4 courses, we state desirable direction of curricula on 3 courses, ‘Geometry I’, ‘Geometry II’, ‘Differential Geometry’ in this paper.

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