• Title/Summary/Keyword: 수학교육과 교육과정

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A Study on the Curriculum of University Calculus Reflecting the 2015 Revised Curriculum (2015 개정 교육과정을 반영한 대학 미적분학 교과에 대한 탐색)

  • Kim, Yun Ah;Kim, Kyung Mi
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.349-366
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    • 2017
  • The 2015 revised curriculum is an integrated curriculum that reflects national and societal needs to foster creative convergent talent in the school curriculum. Along with these changes, the Ministry of Education introduced a system to change the major from 2017 to the fourth year of university. Therefore, each university should prepare to reflect the curriculum and institutional change before welcoming students who have completed the 2015 revised curriculum. The university needs to study the countermeasures for implementing the 2015 revised curriculum and expanding the period of major change when preparing the curriculum and contents of the calculus courses that freshmen take. Handong University has been studying the operation methods of new students who want to decide their major at the first grade, such as operating calculus courses at various levels and allocating appropriate proportions of calculus for preliminary examinations. This case is similar to the basic purpose of the revised curriculum in 2015, so it can suggest implications for the operation of the university calculus class after the curriculum revision. In this paper, we have analyzed the results of the recent freshman mathematics test for the recent 5 years and the students' calculus grades and compared them with the contents of the calculus curriculum operated by Handong University and the 2015 revised higher mathematics curriculum. As a result, we proposed five classes of calculus suitable for college major and it was found that the calculus curriculum should include the missing quadratic method in the 2015 revised curriculum.

A study on the high school teachers' perceptions and experiences of mathematics curriculum reconstruction (수학과 교육과정 재구성에 대한 고등학교 교사들의 인식과 경험에 관한 연구)

  • Lee, Dong Gun
    • The Mathematical Education
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    • v.58 no.4
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    • pp.567-588
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    • 2019
  • This study is a follow-up to Lee(2019). Lee(2019) investigated the method of collecting information on the curriculum of elementary and middle school math teachers, when differences were observed between elementary and middle school math teachers in the method of collecting information on the curriculum. Following Lee(2019)'s study, this study looked at the perceptions and experiences of high school math teachers in their curriculum.At the time when the curriculum was changed from time to time, the authority for restructuring curriculum was strengthened. In addition, the role of teachers as 'curriculum restructuring practitioners' became important. However, previous studies have pointed out the structural problem that teachers empathize with the necessity of restructuring the curriculum and have a negative perception of the willingness to practice the curriculum. Therefore, the researcher examined high school teachers who are sensitive to the characteristics and evaluation of the highly hierarchical mathematics subjects. A total of six interviews were conducted with ten high school mathematics teachers in three groups of ten years of teaching experience. Through this, it was possible to observe how teachers as curriculum reconstruction practitioners had thought about curriculum restructuring, and I could observe what difficulties teachers' experienced. This suggests that teachers have two ideas for restructuring the curriculum: 'realistic curriculum reconstruction' and 'ideal curriculum reconstruction'. In addition, the teachers found that there are 'sides of incongruity in the school system' and 'difficulties in the management of teachers'.

A discussion from a multi-dimensional curriculum perspective on how to instruct the computational estimation of addition and subtraction (덧셈과 뺄셈의 어림셈 지도 방식에 대한 다차원 교육과정적 관점에서의 논의)

  • Do, Joowon;Paik, Suckyoon
    • The Mathematical Education
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    • v.59 no.3
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    • pp.255-269
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    • 2020
  • In this study, how to instruct the computational estimation of addition and subtraction was considered from the perspective of a 'intended-written-implemented' multi-dimensional curriculum. To this end, the 2015 revised elementary school mathematics curriculum as a intended curriculum and the 2015 revised first~sixth grade textbook as a written curriculum were analyzed with respect to how to instruct the computational estimation of addition and subtraction. As an implemented curriculum, a research study was conducted in relation to the method of instructing teachers about the computational estimation of addition and subtraction. As a result, first, it is necessary to discuss how to develop the ability to estimate and set it as a teaching goal and achievement standard in a separate curriculum to instruct it with learning content. Second, it is necessary to provide an opportunity to learn about various estimation methods by presenting specific activities so that students can learn the estimation itself in a separate operation method. Third, in order to improve the computational estimating ability of addition and subtraction, contents related to the computational estimation need to be included in the achievement criteria, and discussions on the expansion of the areas, and the diversification of the instructing time will be needed.

Extracting Teaching Units for the Area of Geometrical Figures Based on the Elementary School Mathematics Curriculum (초등학교 수학과 교육과정에 근거한 도형영역 교수단위 추출 연구)

  • Kang, Wan;Kim, Hyun-Mi
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.323-338
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    • 2010
  • In this study we analyzed the teaching units for the area of geometrical figures by the same method in the previous research of Kang, Wan and Kim, Nam Jun in 2010, where they extracted the teaching units based on the mathematics curriculum based on the theory of Wittmann (1984). Teaching units are a systematic organization of the essential contents for mathematics education according to 4 elements, objectives, data, functions, and backgrounds. In this study, the features and titles of the teaching units, extracted from the area of geometrical figures in revised mathematics curriculums in 2007, are analyzed and categorized as accepting of concept type, application of concept type, and acquiring of relation type. Their meanings for education are investigated, in addition, the way of their practical application to research of education for the area of geometrical figures. The teaching units are a model consistently compensated and evolved rather than fixed. It will be an important material for establishing new educational courses if the teaching units are more systematically studied by mathematics researchers and teachers in educational fields.

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2007개정 교육과정에 따른 서술형 평가 자료 개발

  • Kim, Tae-Hwan
    • Proceedings of the Korea Society of Elementary Mathematics Education
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    • 2010.08a
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    • pp.157-172
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    • 2010
  • 본 연구는 현행 초등학교에서 이루어지고 있는 서술형 평가의 유형과 문제점을 분석해 보고 2007개정 교육과정에 따른 수학과 서술형 예시 평가 문항을 개발해 보는데 목표가 있다. 학교에서 시행되고 있는 평가 자료의 분석은 수학교과서, 국가수준 학업성취도 평가지, 서울시 교육청 보급 2010 장학자료집, 서울시내 학교에서 시행되고 있는 평가 문항을 분석해 보았다. 그리고 예시 서술형 평가 문항개발은 2007개정 교육과정에 따른 수학과 4학년을 대상으로 하였다. 평가 문항 분석의 결과는 문항 유형이 단순하고 교과서와 장학자료집의 수준을 벗어나지 못하고 있으며 창의성 영역의 평가는 거의 이루어지고 있지 않았다. 서술형 예시평가 문항의 개발은 수학과의 내용영역과 인지적 영역뿐 아니라 교육계의 화두가 되고 있는 창의성 영역까지 평가내용으로 포함시키고자 노력하였으며 영역별 1-2 문항을 개발하였다.

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A Study on the Mathematics Education of Magnet High Schools in Korea (특성화고등학교 수학교육에 관한 현황 및 개선 방안에 관한 연구)

  • Whang, Woo-Hyung;Lee, Eun-Jeong
    • Communications of Mathematical Education
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    • v.23 no.2
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    • pp.197-230
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    • 2009
  • The purpose of the study was to reveal the current situations and suggest some ideas to improve the mathematics education of magnet high schools in Korea. Magnet high schools were founded to offer special professional education for students who are interested in a specialized area. Students were selected based on their abilities and potentials in those fields. In Magnet high schools, the curriculums were constructed based on these objectives. Also close connections were established with universities through professional education. However, many magnet high schools are facing difficulties to chase two rabbits at the same time. Those are university admissions and specialized education for near future employment. Furthermore, increasing number of students who want to study at the university level cause more difficulties. The results of the study indicated several suggestions to improve current situation of the magnet high schools.

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A Comparative Analysis of the Middle School Mathematics Curriculum in Korea and Australian (우리나라와 호주 중학교 수학과 교육과정 비교 분석)

  • Ko, Ho Kyoung;Chang, Kyung-Yoon;Lee, Gang Cheon
    • Journal of Educational Research in Mathematics
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    • v.26 no.2
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    • pp.309-331
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    • 2016
  • Australian Curriculum Assessment and Reporting Authority(ACARA) was founded by Australian federal government in 2009. Leading under ACARA, national education curriculum development was propelled. Also from 2014 they gradually extended enforcement of new curriculum by a Reminder about new syllabus implementation (2013.01.29.). The research result of Australia's curriculum, and textbook shows that students repeat, and advance the same contents under spiral curriculum as they move to higher grade. They actively use digital technology, and also puts emphasis on practical context such as Money & financial mathematics. On the level of difficulty, or quantity aspect, Korea handles relatively advanced contents of 'number and operation' or 'Letters and Algebraic Expressions' domain than Australia. However on statistics domain, Australia not only puts more focus on practical stats than Korea, but also concerns as much on both various and qualitative terms Australia doesn't deal with formal concept of 'function'. However, they learn the wide concept of function by handling various graphs. This shows Australia has a point of similarity, and also difference to Korea on various angles.

Analysis of the issues derived from the implementation of the 2015 revised mathematics curriculum in 1st and 2nd grade (2015 개정 수학과 교육과정 초등학교 1~2학년 적용에서의 쟁점 분석)

  • Kim, Seong-Kyeong;Oh, Taek-Keun
    • The Mathematical Education
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    • v.58 no.2
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    • pp.263-282
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    • 2019
  • The purpose of this study is to analyze the implementation of 2015 revised mathematics curriculum. This study focused on issues raised from the implementation. The teaching-learning methods for enhancing mathematical competencies, the amount and difficulty of mathematics in the 1st and 2nd grade, the level of vocabulary and sentence for students in the textbooks, and the support for successful implementation of the curriculum were collected and analyzed through questionnaires and interviews. As a result of the research, most of the teachers tried to improve the teaching and learning method considering mathematical competencies, but had difficulty in connecting contents and competencies. They also recognized that the amount and difficulty in the 1st and 2nd grade math, and the level of vocabulary and sentences presented in math textbooks were generally appropriate. However, they pointed out that the textbooks were over-emphasized in various ways out of basic calculation methods, and that the long sentences, which are not easy to read and understand by students who are not familiar with reading Korean, are included in the . They recognised that there is a large difference in level of reading Korean and understanding math among students. So we suggest that more active support is needed for the students who are learning slowly and the students who are having difficulty in reading Korean.

Some basic points to be considered in developing the national mathematical curriculum (수학과 교육과정 개정에서의 기본 고려 사항)

  • Park, Hye-Sook
    • The Mathematical Education
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    • v.49 no.3
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    • pp.343-351
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    • 2010
  • In this paper, we take the survey through both papers and recent reports to investigate points to be considered in developing the national mathematical curriculum. Then we suggest that to prepare the next national mathematical curriculum, we consider the method to deduce the math-dislike, the method to increase the power of problem solving etc. and also we construct a compact curriculum which contains most of important math items. In the process of developing the curriculum, we must have lively discussion with mathematicians, and especially with teachers.