• Title/Summary/Keyword: 수학과 평가내용 및 구성

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과학영재학교 교육과정 운영실태와 학생 반응분석

  • 문경근;박일영;박수경;정권순;추봉욱;곽미용
    • Proceedings of the Korean Society for the Gifted Conference
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    • 2003.11a
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    • pp.165-166
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    • 2003
  • 2002년 3월부터 영재교육법 시행령이 적용됨에 따라 과학기술부에서는 교육인적자원부, 부산광역시 교육청과의 협약을 통하여 부산과학고등학교를 과학영재학교로 지정하였으며 2003년 3월 신입생 입학 이후 현재까지 운영되고 있다. 과학영재를 조기에 발굴하여 맞춤식 교육을 체계적으로 실천함으로써 지식기반 사회를 선도할 수 있는 창의적인 과학영재를 육성하려는 과학영재학교의 설립목적에 부합되도록 계획, 운영, 평가되기 위해서 현재 진행되고 있는 운영 전반에 대하여 점검 및 분석이 이루어질 필요가 있다. 이에 과학영재학교 운영상의 주요 측면인 교육과정 운영 분야에 대하여 그 실태와 학생 반응을 분석하는데 본 연구의 목적이 있다. 과학영재학교의 교육과정 기본 방침은 과학 분야에 대한 깊은 이해와 논리적, 비판적, 창의적 사고력과 태도를 통하여 지식을 창출하는 자기 주도적 탐구자의 양성을 전제로 하고 있으며 교육과정 편제는 교과, 자율연구, 위탁교육 및 특별활동으로 구성되어있다. 교과에는 국어, 사회, 외국어, 예체능을 포함하는 보통교과와 수학, 과학, 정보과학을 포함하는 전공교과가 있다(과학영재학교 교수요목안내서, 2003). 본 연구에서 교육과정 편제, R&E, 교수학습 및 평가의 하위 영역별로 그 실태와 각 영역별 학생 설문 결과를 분석한 결과는 다음과 같다. 첫째, 영재학교 교육과정 편제 및 운영에 대한 학생들의 인식을 조사한 결과, 심화 선택과목의 학점 비중을 더 높여야한다는 의견과 보통교과의 학점을 줄이고 전공교과의 학점을 늘려야 한다는 의견이 상대적으로 높게 나타났다. 이러한 결과는 대상 학생들이 과학영재학교 선발과정에서 수학, 과학 각 분야별 우수자로 선발된 경우가 많아 학생 개인적으로 자신감을 가지는 과목만 집중적으로 학습하고자 하는 의도의 반영으로 볼 수 있다. 이와 관련하여 영재교육과정의 운영지침(이상천, 2002)에 의하면, 대학 수준의 내용을 그대로 도입하는 속진보다 창의성과 사고력 계발에 보다 충실할 수 있도록 내용의 폭을 넓히고 접근방법을 달리하는 심화 중심으로 교육과정을 구성하고 운영한다고 하였다. 그러나 현재 개발된 교육과정 편성과 운영은 창의성 교육의 구현보다는 압축형 속진 교육과정의 특성이 강하여, 이와 같은 운영지침을 실현하기 어려운 것이 현실이므로 교육과정 편제의 개선이나 운영지침에 적합한 교육내용의 개발이 시급히 이루어져야 할 것이다. 둘째, R&E(Research & Education)는‘연구를 통한 교육’,‘교육을 통한 연구’를 의미하며 과학영재교육과정의 가장 큰 특징이라 할 수 있는 자율연구와 위탁교육을 위한 프로그램이다.

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A Study on Curriculum and Lecture Assessment between Daegu National University of Education and Auckland College of Education in the New Zealand (대구교육대학교와 뉴질랜드 오클랜드교육대학의 수학과 교육과정 및 강의평가에 대한 소고)

  • Choi, Chang-Woo
    • Education of Primary School Mathematics
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    • v.12 no.1
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    • pp.21-30
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    • 2009
  • National university of education here in Korea have had a special purpose training competent primary school teacher hoping our nation and society so far. We can guess how students are educated and which direction focuses on education in college or university if we see the curriculum of the university. But the content of mathematics curriculum which is currently operated in ten university of education is a little different according to the major subject (pure mathematics, subject matters and so on)of the faculty or situation of the university. The purpose of this study is to get some suggestive points for the development of mathematics program and lecture assessment system which are appropriate training primary school teacher of future oriented as a special purpose university with looking around of lecture assessment system as well as comparing and looking around of the curriculum which are establishing at the auckland college of education there in the New Zealand and mathematics education department here in Daegu national university of education.

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A Remedial Education Programs to Improve Mathematics Applying Abilities as one of Core Competencies (직업기초역량으로서의 수리 활용 능력 향상을 위한 보정 학습 프로그램 개발)

  • Choe, Seung Hyun;Ryu, Hyunah;Nam, Geum Cheon
    • Journal of the Korean School Mathematics Society
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    • v.16 no.4
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    • pp.655-674
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    • 2013
  • The MEST determined to introduce a vocational ability test for the students in vocational high schools to enhance their job competence skills from 2013 accepting the field voices that current competence test is not proper for vocational high schools whose purpose is job preparation education. The test results can be used as an official certificate in the job settlement process. The purpose of this study is to enhance the students's basic skills for mathematics in vocational high schools and in addition to that, to develop mathematics teaching materials aiming to support students in applying mathematics in real vocational world after their learning mathematics in high schools. It seems that the students in vocational high schools experiencing difficulties in mathematics because of the lack of the basic skills for mathematics demanding for the restructuring the mathematics curriculum aiming for empowering to the maximum of the potential abilities of students in vocational high schools. For this purpose, we extracted essential elements from mathematics curricula ranging from elementary schools to middle schools and vocational high schools what is necessary for students in specialized high schools to enhance the students' abilities in using mathematics in vocational area. Based on above study, we analyzed, organized, and systemized the contents and levels of mathematics. Finally, we proposed in this paper the ways to build programs to enhance the students' essential mathematics skills aiming to level up the students' vocational ability required in real vocational companies.

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Effective Mathematics Instruction - Comparison of Conception by Elementary and Secondary School Teachers - (좋은 수학 수업에 대한 교사들의 인식 - 초.중등 교사의 인식 비교를 중심으로 -)

  • Pang, Jeong-Suk;Kwon, Mi-Sun
    • Communications of Mathematical Education
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    • v.26 no.3
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    • pp.317-338
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    • 2012
  • This paper compared and contrasted the views of effective mathematics instruction by 223 elementary school teachers and 151 middle school mathematics teachers using a questionnaire with 4 main domains (i.e., curriculum and content, teaching and learning, classroom environment and atmosphere, and assessment) and a total of 48 sub-elements. The analysis of results showed that elementary school teachers put their priority on the curriculum and content domain, while middle school counterparts did on the teaching and learning domain. The teachers commonly agreed with instruction which fosters students' self-directed learning ability, reconstructs the curriculum tailored to students' diverse levels, and establishes appropriate interaction between the teacher and students. However, elementary school teachers agreed more than middle school teachers with regard to the 23 elements related to effective mathematics instruction. In contrast, middle school teachers agreed more than their counterparts as for only 2 elements (instruction fostering mathematical representation and instruction eliciting students' learning motivation). This paper includes suggestions and implications related to Korean teachers' perception of effective mathematics instruction.

Principles and Methods for Critical Mathematics Education: An Explorative Study of a Program (비판적 수학교육의 원리와 방법 탐색: 프로그램 개발을 위한 기초연구로서)

  • Song, Ryoon-Jin;Ju, Mi-Kyung
    • Journal of Educational Research in Mathematics
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    • v.27 no.4
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    • pp.857-888
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    • 2017
  • Due to globalization, diversification, and informatization, modern society confronts change and crisis in a variety of areas such as economy, politics, and culture. In that context, mathematics educators seek for how to reform school mathematics for democratic and just society. This research proposes critical mathematics education as an alternative model of school mathematics for democratic society. In particular, this research is an explorative study to construct a model of critical mathematics education program. For the purpose, we conducted a comprehensive literature review to identify goals, contents, and methods of teaching and learning, and method of assessment for critical mathematics education. We checked the validity of the model by using the cases of critical mathematics education. Since this research is explorative in the regard that the model is based on theoretical literatures, further research is necessary to extend the model through design research in school context.

Educational Using A Technology In The Education Of Future Mathematics Teachers (예비 수학 교사 교육에서 공학적 도구의 교육적 활용)

  • Kim, Nam-Hee
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.345-359
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    • 2011
  • In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

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An Analysis on the Programs for the Mathematically Gifted Children in the Elementary Schools (초등 수학 영재 교수-학습 프로그램 분석)

  • Hong, Eun Ja;Bae, Jong Soo
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.1
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    • pp.65-84
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    • 2005
  • The purpose of this study was to analyze the contents and designs of the developed 22 teaching and programs for the gifted students in elementary mathematics. The focus of the analysis were the participants and the characteristics of the contents, and were to reflect them on the areas of the 7th elementary mathematics curriculum and Renzulli's Enrichment Triad Model. The results of the study as follows: First, the programs for the low grade gifted students are very few compared to those of the high grade students. For earlier development of the young gifted students, we need to develop more programs for the young gifted students. Second, there are many programs in the area of geometry, whereas few programs are developed in the area of measurement. We need to develop programs in the various areas such as measurement, probability and statistics, and patterns and representations. Third, most programs do not follow the steps of the Renzulli's Enrichment Triad Model, and the frequency of appearance of the steps are the 1st, 2nd, and 3rd enrichments, sequentially. We need to develop hierarchical programs in which the sequency and relations are well orchestrated. Fourth, the frequency of appearance is as follows as sequentially: types of exploration of topics, creative problem solving, using materials, project types, and types of games and puzzles. In the development of structure of the program, the following factors should be considered: name of the chapter, overview of the chapter, objectives, contents by steps, evaluation, reading materials, and extra materials.

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The Research on Pedagogical Content Knowledge in Mathematics Teaching (수학과 내용 교수 지식(PCK)의 범주화 - 세 명 교사의 사례를 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye-Jeang
    • School Mathematics
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    • v.10 no.4
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    • pp.489-514
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    • 2008
  • Since 2005 KICE - TLC has focused on the development of supporting programs for teaching consultation and pedagogical content knowledge(PCK). The purpose of this year's research was to explore types of pedagogical content knowledge(PCK, hereafter) for effective teaching mathematics topics drawn from the amended national mathematics curriculum announced in February, 2007. Based on this year's PCK research, we will develop mathematics teaching consulting program from 2009 research by field testing of developed mathematics PCK. The major source of data for this study was transcripts of audiotapes of the group discussions that took place during the regular weekly meetings where we compared and analyzed three teachers' classes. We also conducted open-ended interviews with the three teachers and collected reflective notes written by participants. This research provided teachers with an opportunity to think about what is important in the teaching of a topic and why, and to consider possibilities for future development. This research highlights the importance of teacher meetings where teachers share their expertises and insights through reflection and dialogue. By introducing the concept of PCK, examining, analyzing and modelling it in pre-service and in-service teacher education practice, we can contribute to extend teachers' professional learning. Finally, just like quality student learning, quality teaching and teacher education practices require critical reflection and careful scaffolding.

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Secondary Mathematics Teachers' Perceptions on Artificial Intelligence (AI) for Math and Math for Artificial Intelligence (AI) (도구로서 인공지능과 교과로서 인공지능에 대한 중등 수학 교사의 인식 탐색)

  • Sim, Yeonghoon;Kim, Jihyun;Kwon, Minsung
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.159-181
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    • 2023
  • The purpose of this study is to explore secondary mathematics teachers' perceptions on Artificial Intelligence (AI). For this purpose, we conducted three focus group interviews with 18 secondary in-service mathematics teachers and analyzed their perceptions on AI for math and math for AI. The secondary in-service mathematics teachers perceive that AI allows to implement different types of mathematics instruction but has limitations in exploring students' mathematical thinking and having emotional interactions with students. They also perceive that AI makes it easy to develop assessment items for teachers but teachers' interventions are needed for grading essay-type assessment items. Lastly, the secondary in-service mathematics teachers agree the rationale of adopting the subject <Artificial Intelligence Mathematics> and its needs for students, but they perceive that they are not well prepared yet to teach the subject and do not have sufficient resources for teaching the subject and assessing students' understanding about the subject. The findings provide implications and insights for developing individualized AI learning tools for students in the secondary level, providing AI assessment tools for teachers, and offering professional development programs for teachers to increase their understanding about the subject.

The Research on Pedagogical Content Knowledge in Mathematics Teaching (수학과 내용 교수 지식(PCK)의 의미 및 분석틀 개발에 관한 연구)

  • Choe, Seung-Hyun;Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.11 no.4
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    • pp.569-593
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    • 2008
  • Since 2005 KICE-TLC has focused on the development of supporting programs for teaching consultation and pedagogical content knowledge(PCK). The purpose of this year's research was to explore types of pedagogical content knowledge(PCK, hereafter) for effective teaching mathematics topics drawn from the amended national mathematics curriculum announced in February, 2007. Based on this year's PCK research, we will develop mathematics teaching consulting program from 2009 research by field testing of developed mathematics PCK. The major source of data for this study was transcripts of audiotapes of the group discussions that took place during the regular weekly meetings where we compared and analyzed three teachers' classes. We also conducted open-ended interviews with the three teachers and collected reflective notes written by participants. This research provided teachers with an opportunity to think about what is important in the teaching of a topic and why, and to consider possibilities for future development. This research highlights the importance of teacher meetings where teachers share their expertises and insights through reflection and dialogue. By introducing the concept of PCK, examining, analyzing and modelling it in pre-service and in-service teacher education practice, we can contribute to extend teachers' professional learning. Finally, just like quality student learning, quality teaching and teacher education practices require critical reflection and careful scaffolding.

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