• Title/Summary/Keyword: 수학교육과 교육과정

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An Investigation of Beginning and Experienced Teachers' PCK and Teaching Practices - Middle School Functions - (초임교사와 경력교사의 교수학적 내용지식과 수업실제 분석 - 중학교 함수단원 -)

  • Choi, Yoon-Hwa;Choi, Sang-Ho;Kim, Dong-Joong
    • Journal of the Korean School Mathematics Society
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    • v.17 no.2
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    • pp.251-274
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    • 2014
  • The purpose of this study is to analyze characteristics of PCK before class, investigate how these characteristics are enacted in classrooms when beginning and experienced teachers teach mathematical functions, and provide pedagogical implications. Two beginning teachers and two experienced teachers participated in the study. In order to analyze characteristics of PCK before class, interviews and survey research were conducted. An investigation of classroom discourse was used to examine how the PCK characteristics appear in classrooms. Results show that experiences teachers enacted their PCK about learner, curriculum, teaching methods, and teaching environment in classrooms, whereas beginning teachers could not show their PCK. These results suggest practical implications for the developments of teacher education curriculum and teacher training program.

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A Study on the Van Hiele Level of Middle school Mathematics Textbooks and Middle school students' geometric thinking (중학교 수학교과서와 중학생들의 반 힐레 기하수준에 관한 연구)

  • Kang, MiHye;Son, HongChan
    • Journal of the Korean School Mathematics Society
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    • v.22 no.4
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    • pp.483-500
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    • 2019
  • This study compared and analyzed the van Hiele levels of geometry contents in middle school mathematics textbooks and those of students' thinking. As the mathematics curriculum was revised recently, the amount of contents in the geometry area were reduced, but the van Hiele level did not change much, and the gap between the van Hiele level of geometric contents presented in the textbooks and the level of students' geometric thinking still remained unchaged. The van Hiele levels of the geometric contents in the textbooks were distributed in the levels of 1, 2, 3 in the first grade, and 2, 3, 4 in the second and third grade. In the case of the first grade, 69% of the students were less than or equal to level 2, and 73.7% and 47.6% of the students in the second and third grades were less than or equal to level 3, respectively. Especially, in the case of the second and third grade, the ratio of the 4th level of the contents presented in the textbook is higher than the problem, which can cause difficulties for the students.

Development of Lesson Plan based on Storytelling and Searched the Possibility of Application (스토리텔링 기반의 교수-학습 과정안 구안 및 현장적용 가능성 탐색 - 고등학교 수학과 집합단원을 중심으로 -)

  • Kang, Han-Kyun;Kim, Hoy-Yong;Kim, Du-Gyu
    • Journal of Fisheries and Marine Sciences Education
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    • v.23 no.2
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    • pp.302-318
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    • 2011
  • The object of this study is to provide easily-understandable mathematics class to highschool students, who usually take no interest in mathematics, by apply teaching strategy based on storytelling to real lessons. The approaching methods for the mathematics education are emphasizing the mathematical education during making storytelling-studying plans, inducing the interest of the students by applying the mathematical situations in the story. The effects of the storytelling such as induction of the interest, persistency, perception of the practicality, smooth communication between teachers and students coincides with the way national mathematical education orients. This study contains the definition of the storytelling based on education, and applicability to the students, and application to the real lessons, and verification of the effects by focus-group interview with the students and observing teachers. I made the lesson plan based on storytelling for achievements to the object of the highschool mathematical study, and searched the best way to apply the lesson plan to the real lessons. I studied designing lesson strategy based on dissertations and books and reports directly related this study, and did focus-group interview to find advantages and disadvantages of the strategy. And finally I could make the well-applicable lesson plan.

Feasibility Study for the Reconstruction of Kwanghee Middll School Building (서울 광희중학교 재개발계획 연구요약)

  • Min, Chang-Kee
    • Journal of the Korean Institute of Educational Facilities
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    • v.3 no.3
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    • pp.41-57
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    • 1996
  • 본 연구는 광희중학교 학구내에서 재개발로 인하여 증가되는 인구수을 예측하여 장래 중학교 학생수를 예측하였다. 2016까지 학급당 학생수를 37명으로 하고 36학급 규모의 학교를 추구한다면 중학교는 적어도 1개 더 건축하여야만 재개발로 늘어나는 제1학군의 학생수를 수용할 수있을 것음을 분석하였다. 또, 교과과정을 분석한 결과 도덕 2.5교실, 국어 6교실, 사회 5교실, 수학 5교실, 과학 5교실, 체육 4교실, 음악 2교실, 미술 2교실, 가정 1.5교실, 기술 3교실, 영어 5.5교실, 한문 1교실, 컴퓨터 1교실로 분석되어 이용율이 88%가 되었다. 본 연구는 광희중학교 구체적 건축계획에 앞서 계획의 모델을 설정하여 이를 토대로 계획에 임하였다. 광희중학교 주변의 접근성, 교통 조건, 소음 상태, 지역사회인의 이용, 전망 등의 환경 분석을 토대로 4개의 죠닝(Zonning)안을 제시하여 평가한 후 가장 바람직한 안을 선정하였다. 이를 토대로 브록(Block)프랜을 5개 작성하여 평가후 1개 안을 채택하여 구체적 평면 계획안을 작성하였다. 36학급 37명 학생수를 기준으로 교과교실형으로 계획하였으며 특별 교실형의 학습도 가능하게 계획하였다. 교수, 학습의 복합화에 대처하여 칸막이를 이동 가능한 형태로 계획하였으며, 일반 교과도 컴퓨터를 이용한 수업이 가능하게 정보 코너를 설치하였다. 지역사회인에게 열린 교실이 되게 계획하였고 개별 학습이 가능한 구조로 계획하교 기자재의 선진화를 대비한 학습 환경의 제고도 고려하였다. 본 연구의 입면 형상은 주변 건물과 조화되게 수평적 요소가 강조되는 형상이 되도록 계획하며 고층의 아파트의 위협을 상쇄시키기 위하여 지붕이 있는 구조로 계획하여 지역사회에서 중심임을 강조하도록 계획하였다.

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An Analysis on the Inquiry Activities of Quadratic Surface throughout Mathematically Gifted Students' Analogical Inference (수학영재학생들의 유추를 통한 이차곡면의 탐구활동 분석)

  • Yang, Ki-Yeol;Lee, Ui-Jin
    • Journal of Gifted/Talented Education
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    • v.21 no.2
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    • pp.269-286
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    • 2011
  • The purpose of this thesis is to examine difficulties students face in the inquiry activities of quadratic surface throughout mathematically gifted students' analogical inference and the influence of Cabri 3D in students' inquiry activities. For this examination, students' inquiry activities were observed, data of inferring quadratic surface process was analyzed, and students were interviewed in the middle of and at the end of their activities. The result of this thesis is as following: First, students had difficulties to come up with quadratic surfaced graph in the inquiry activity of quadratic surface and express the standard type equation. Secondly, students had difficulties confirming the process of inferred quadratic surface. Especially, students struggled finding out the difference between the inferred quadratic surface and the existing quadratic surface and the cause of it. Thirdly, applying Cabri 3D helped students to think of quadratic surface graph, however, since it could not express the quadratic surface graph in a perfect form, it is hard to say that Cabri 3D is helpful in the process of confirming students' inferred quadratic surface.

Experiments and Analysis for Security Vulnerabilities on Teredo (Teredo 보안 취약점 실험 및 분석)

  • Cho, Hyug-Hyun;Kim, Jeong-Wook;Noh, Bong-Nam;Park, Jong-Youll
    • Proceedings of the Korea Information Processing Society Conference
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    • 2007.11a
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    • pp.1158-1161
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    • 2007
  • IPv6는 IETF가 IPv4를 대체하기 위해 제안한 프로토콜이다. 하지만 현재 모든 네트워크를 IPv4에서 IPv6로 전환하는 것은 비용과 시간적인 측면에서 힘들기 때문에 상당 기간 IPv4와 IPv6가 공존하는 IPv4/IPv6 혼재 네트워크가 유지될 것이다. IPv4/IPv6 혼재 네트워크에서 통신을 위해 다양한 메커니즘들이 개발되었다. Teredo는 이러한 메커니즘들 중에 하나로 NAT 내에 위치한 IPv4 호스트가 IPv6를 이용할 수 있게 하고, 향후 다수의 사용자에 의해 사용이 예상되는 윈도우 비스타에서 기본적으로 이용할 수 있기 때문에 혼재 네트워크에서 상당히 오랜 기간 동안 사용될 것이다. 하지만 Teredo 메커니즘은 NAT 내의 보안 장비 우회, Teredo 구성 요소의 신뢰성 등 보안 취약점을 가지고 있다. 본 논문에서는 Teredo를 이용하는 네트워크에서 발생 가능한 보안 취약점들에 대해서 기술하고, 그 중에서 캐쉬 오버플로우 공격에 대한 실험 결과를 기술한다.

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Analysis of Error on the process of solving the liner inequality - Focusing on curriculum of the middle school - (일차부등식의 문제 해결과정에서 발생하는 오류유형 분석 - 중학교 교육과정을 중심으로 -)

  • 김용호;오후진
    • Journal of the Korean School Mathematics Society
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    • v.5 no.1
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    • pp.69-86
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    • 2002
  • This study accordingly brought the analysis of the error into focus to instruct the liner inequality efficiently. Students, in result, committed errors: misused data(14.6%), misinterpreted problem(15.0%), logically invalid inference(2.7%), misunderstood theorem or definition(22.1%), unmatched solution(22.4%), technical error(17.5%), omission of solving process(5.7%). Through the analysis of preceding errors, I try to emphasize the following in instructing students: First, you must emphasize studying of concept of the liner inequality and instruct students in the use of that Second, you must minimize the error by searching for the error that students are apt to commit and showing the anti-example when you instruct them in the liner inequality. Third, after evaluation, you must tell the result to students, and show many forms of the liner inequality with various means lest they should commit the same error. Therefore, if an instructor gives lessons to the students studying the instructive methods in order not to make errors about the contents mentioned above, it will help students understand much faster and arouse their curiosities and interests in lessons, and so they will take lessons willingly.

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On Explaining Rational Numbers for Extending the Number system to Real Numbers (실수로의 수 체계 확장을 위한 유리수의 재해석에 대하여)

  • Shin, Bo-Mi
    • Journal of the Korean School Mathematics Society
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    • v.11 no.2
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    • pp.285-298
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    • 2008
  • According to the 7th curriculum, irrational numbers should be introduced using infinite decimals in 9th grade. To do so, the relation between rational numbers and decimals should be explained in 8th grade. Preceding studies remarked that middle school students could understand the relation between rational numbers and decimals through the division appropriately. From the point of view with the arithmetic handling activity, I analyzed that the integers and terminating decimals was explained as decimals with repeating 0s or 9s. And, I reviewed the equivalent relations between irrational numbers and non-repeating decimals, rational numbers and repeating decimals. Furthermore, I suggested an alternative method of introducing irrational numbers.

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The Influence of Students' Perception of Tutor's roles on Deep Learning, Achievement, and Course Evaluation in Online Gifted Education Program (온라인 영재교육 프로그램에서 중학생의 튜터 역할에 대한 인식이 심층학습, 학업성취, 수업평가에 미치는 영향)

  • Choi, Kyoungae;Lee, Sunghye
    • Journal of Gifted/Talented Education
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    • v.25 no.6
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    • pp.857-879
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    • 2015
  • This study investigated the relationships among middle school students' perceptions on the roles of online tutor, their deep learning, achievement, and overall evaluation of learning experiences in the context of inquiry based online gifted mathematics and science learning. For this purpose, 249 middle school students who took online course were surveyed about their perceptions on the degree to which their tutor performed the roles as an online tutor. The students were also asked about the activities which indicate deep learning approaches and overall course experiences such as the level of satisfaction, understanding and engagement in the course. The regression analyses were conducted to examine the relationships of students' perceptions on the roles of online tutor, deep learning, achievement, and overall course experiences. The results first showed that the roles of online tutor which affects students' deep learning approach such as high-order learning, integrative learning, reflective learning were the role as a subject matter and evaluation expert. Among the sub variables of deep learning approach the variable that was related to students' overall achievement was the use of high-order learning strategy. Second, the achievement in inquiry task was related to the role of tutor as a guide of learning process and method. Third, students' overall course evaluations such as the level of satisfaction, understanding and engagement were not related to any role of tutor.

An Analysis of Korean Middle School Students' Learning Style (우리나라 중학생들의 학습양식 분석)

  • Ju, Mi Kyung;Byun, Hee Hyun
    • School Mathematics
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    • v.15 no.1
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    • pp.101-120
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    • 2013
  • International comparative studies of students' performance in mathematics have shown that Korean students possess very negative attitudes toward mathematics, while they are ranked as one of the highest in the cognitive achievement of mathematics. This has prompted mathematics educators to seek for a way to improve the quality of mathematics education. In this context, this research has been conducted to investigate the learning style of Korean middle school students under the assumption that it is of essence to understand the characteristics of our students as mathematics learners. For the purpose, in-depth interview had been conducted and sixteen middle students participated in the interview. The students were chosen to represent the average group of their age-cohorts based on their performance in mathematics and their SES. The interview was designed as a semi-structured clinical interview. In the interview, the students were given mathematical tasks dealing with central themes in the domain of function. Each student was given about 30 to 50 minutes to solve the tasks. After an interviewee finished the tasks, s/he was asked to explained how s/he solved the tasks. The researchers asked additional questions to clarify the students' understanding of the mathematical themes in the tasks and to identify their strategies for learning mathematics. The analysis of the in-depth interview has primarily identified the characteristics of the students' understanding of the main themes in function and then has been extended to investigate their characteristic styles for learning mathematics. The analysis of the interview identified the learning styles of the students as 'inductive learning based on prototypical cases', 'repeated practice of exemplar mathematics problems', 'disengaged learning', and 'double standards in learning mathematics'. Based on the results of the analysis, this research presents the implications for the improvement of mathematics education.

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