• Title/Summary/Keyword: 중등 수학

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A qualitative case study about mathematics pre-service teachers' deep motivation, pedagogical content knowledge and inner vision (중등 수학 예비교사의 심층 동기, 교과교육학 지식 및 내적 비전에 관한 질적 사례 연구)

  • Jun, Young-Cook;Kang, Yoon-Soo;Witz, Klaus
    • Journal of the Korean School Mathematics Society
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    • v.9 no.2
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    • pp.179-193
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    • 2006
  • The aim of this paper is to explore and understand, using in-depth interviews, the participant's enthusiasm for and involvement in studying mathematics and the deeper nature of his/her interest in mathematics teaching. In addition a larger aim is to understand how the individual's interest in mathematics and teaching are linked to his/her larger personal fulfillment. We conducted in-depth interviews with 4 pre-service teachers' subjective experiences focusing on deep motivation, pedagogical content knowledge, inner vision. Interviews focus much more on the participant's spontaneous feeling, consciousness, and state as these arise in the interview, and on past foiling, consciousness and state as they appear to the participant subjectively retrospectively in his/her memory. The output of this research consists of 2 portraits out of 4 individual participants, highlighting and conceptually developing the specific aspects under study; different ways in which individuals' involvement with the subject area affects their motivation, inner visions and academic efforts toward becoming teachers. Larger aspects of pre-service teachers' subjective experiences were sketched by contrasting the two cases. Several suggestions were put at the end to enhance mathematics education concerning curriculum development.

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Gifted Middle School Students' Genetic Decomposition of Congruent Transformation in Dynamic Geometry Environments (역동적 기하 환경에서 중등 영재학생들의 합동변환 활동에 대한 발생적 분해)

  • Yang, Eun Kyung;Shin, Jaehong
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.499-524
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    • 2015
  • In the present study, we propose four participating $8^{th}$ grade students' genetic decomposition of congruent transformation and investigate the role of their dragging activities while understanding the concept of congruent transformation in GSP(Geometer's Sketchpad). The students began to use two major schema, 'single-point movement' and 'identification of transformation' simultaneously in their transformation activities, but they were inclined to rely on the single-point movement schema when dealing with relatively difficult tasks. Through dragging activities, they could expand the domain and range of transformation to every point on a plane, not confined to relevant geometric figures. Dragging activities also helped the students recognize the role of a vector, a center of rotation, and an axis of symmetry.

A Study about Characteristics of Teachers' Analysis of an Instruction : Focused on Teachers' Knowledge for Teaching Statistics (교사들의 수업 분석 특징에 대한 연구 -통계 지도를 위한 교사 지식을 중심으로-)

  • Shin, Bo Mi
    • School Mathematics
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    • v.16 no.3
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    • pp.519-542
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    • 2014
  • This study analyzed characteristics which emerged while 45 secondary school teachers observed a video clip about a statistics instruction. The aim of this study based on the analysis was to deduct implications in terms of the various means which would enhance teachers' knowledge in teaching statistics and assist in designing statistics education programs for teachers and professional development initiatives. To achieve this goal, this research firstly developed framework descriptors which provided this study with theoretical foundations to investigate what characteristics appeared in the teachers' observation. Secondly, this study probed the observation results from the teachers in the light of the framework. Therefore, some issues in the teacher education program for teaching statistics were thirdly identified in the categories of 'focus of instruction', 'role of the teacher and discourse' and 'data and technology' based on the analysis. This research inspires the elaboration of exactly what features effective statistics classes have through the framework descriptors and additionally the elucidation of essential matters relevant to statistics education on the basis of the issues.

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Understanding of Degree and Radian by Measuring Arcs (호의 측도로 도(Degree)와 라디안 이해하기)

  • Choi, Eun Ah;Kang, Hyangim
    • School Mathematics
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    • v.17 no.3
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    • pp.447-467
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    • 2015
  • The purpose of this study is to examine how the learning experience understanding degree and radian as the measurement of arc affects the conceptual understanding of radian and measuring angle. For this purpose, we investigated pre-service teachers' understanding about measurement of angle using a length of arc, and then conducted a teaching experiment with two middle school students. The results of analyzing pre-service teachers' and students' response are as follows. Students' experience interpreting the concept of degree into measurement of arc had a positive effect on understanding of radian and students' learning process in which they got measurement of angle as measurement of arc enabled conceptual understanding of 'linear measuring'. Also a circle context and a strategy dividing by arc operated as effective strategies for solving various problems about an angle. Finally, we confirmed that providing direct manipulative activities as a chance to explore relationships between an angle and arc measure can help students' conceptual understanding of measuring angle.

20년 후 자화상 분석을 통한 과학 영재의 미래 직업에 대한 연구

  • 심규철;박상태;박종석;변두원;김여상
    • Proceedings of the Korean Society for the Gifted Conference
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    • 2003.05a
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    • pp.159-160
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    • 2003
  • 본 연구는 과학 영재들이 생각하는 "0년 후의 자화상"분석을 통해 그들이 바라는 미래 직업 또는 희망, 그 이유, 그리고 그에 대한 확신 등을 조사하고자 하였으며, K대학교 과학영재교육원 중등기초과정 수학, 물리, 화학, 생물, 지구, 정보 등 6개 분야 입학생 86명(남 56명, 여 30명)을 연구 대상으로 하였다. 분석 내용은 과학 영재들에게 20년 후의 자신의 모습을 자유 서술 방식으로 기술하도록 하였다. 과학 영재들이 자신의 미래의 꿈의 실현이나 직업에 대한 확신 또는 자신감을 갖고 있는 비율은 전체의 74% 수준이었으며, 남자 영재가 62%로 여자 영재의 88%보다 낮은 것으로 조사되었다(Pearson $X^2$=4.405, p<0.05). 또한, 과학 영재들의 미래의 희망 직업에 대한 조사에서는 자신이 속한 과학 영재분야와 관련된 직업은 29.2% 정도에 지나지 않았으며, 의사나 한의사 등 의학 계통에 종사하고자 하는 비율이 32.6%로 가장 많은 것으로 조사되었다. 이외에도 사업 경영, 교사, 법조인 및 정치인, 외교관 등 다양한 직업에 대한 희망을 갖고 있는 것으로 나타났다. 이러한 경향은 성별과 상관없이 동일한 것으로 조사되었다(Pearson $X^2$=9.570, p>0.05). 과학 영재들이 미래 직업으로 관련 과학분야에 대해 응답한 것을 수학, 물리, 화학, 생물, 지구, 정보 등 과학영재 분야별로 비교하여 보면, 수학 영재들이 54,5%로 가장 높았으며, 다음으로는 화학 분야 40% 정도를 차지하는 것으로 나타났다. 반면에, 과학 영재들이 가장 선호하였던 의학 분야에 대해서는 지구과학 영재들이 61.5%로 가장 높았으며 다음으로는 물리 영재들이 38. 9%를 차지한 것으로 조사되었다. 미래의 자신의 직업을 선택한 이유는 첫 번째가 사회 봉사와 국가 발전에 기여하기 위한 것이었으며, 다음으로는 생활의 안정을 꼽고 있었다. 이외에도 과학적 업적 달성을 위해, 자신의 꿈(이상) 실현을 위해 등의 이유를 들고 있었다. 이러한 경향은 남자 영재와 여자 영재들간에 다소 차이는 있었으나 거의 유사한 것으로 조사되었다(Pearson $X^2$=2.186, p>0.05). 우수한 능력을 소유한 영재들이 과학관련 분야를 선호하지 않는다면 우리나라의 과학 발전은 그리 낙관할 수 없을 것이다. 그러므로, 영재들을 과학 관련 분야로 이끌어 그들이 소유한 영재성을 발휘하도록 하는 것은 매우 중요한 일일 것이다. 이룰 위해서는 과학 영재들이 자신의 능력에 대한 자신감을 더욱 높여야 하며 그 능력을 과학관련 분야에 발휘하도록 하기 위한 국가적, 사회적, 교육적 노력이 필요하다. 노력이 필요하다.

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Process of Visualization in 2D-Geometric Problem Solving among Secondary School Students (중등 기하문제 해결에서 시각화 과정)

  • Ryu, Hyun-Ah;Chang, Kyung-Yoon
    • Journal of Educational Research in Mathematics
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    • v.19 no.1
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    • pp.143-161
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    • 2009
  • This study was designed to gain insights into students' visualization process in geometric problem solving. The visualization model for analysing visual process for geometric problem solving was developed on the base of Duval's study. The subjects of this research are two Grade 9 students and six Grade 10 students. They were given 2D-geometric problems. Their written solutions were analyzed problem is research depicted characteristics of process of visualization of individually. The findings on the students' geometric problem solving process are as follows: In geometric problem solving, visualization provided a significant insight by improving the students' figural apprehension. In particular, the discoursive apprehension and the operative apprehension contributed to recognize relation between the constituent of figures and grasp structure of figure.

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On the Usage of the Multiplication and Parentheses signs (곱셈과 괄호 기호의 사용에 대한 연구)

  • Lee, Min Jung;Lee, Yang;Yang, Sung Pil;Park, Mi Suk
    • Journal of the Korean School Mathematics Society
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    • v.15 no.4
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    • pp.627-641
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    • 2012
  • We found a few students had an error in the function and equation units, because most of mathematicians omitted the multiplication signs. In the mathematical history, the multiplication and parentheses signs had various changes. Based on the Histogenetic Principle, high level students know that the letter in the functions and equations represents a number and the related principles, so they have no big problems. But since the low level students stay in the early days in the mathematical history, they have some problems in the modern function and equation. Therefore, while we study the function and equation units with the low level students, we present that we have to be cautious when we omit the multiplication and parentheses signs.

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An analysis of algebraic thinking of fourth-grade elementary school students (초등학교 4학년 학생들의 대수적 사고 분석)

  • Choi, Ji-Young;Pang, Jeong-Suk
    • Communications of Mathematical Education
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    • v.22 no.2
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    • pp.137-164
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    • 2008
  • Given the importance of early experience in algebraic thinking, we designed six consecutive lessons in which $4^{th}$ graders were encouraged to recognize patterns in the process of finding the relationships between two quantities and to represent a given problem with various mathematical models. The results showed that students were able to recognize patterns through concrete activities with manipulative materials and employ various mathematical models to represent a given problem situation. While students were able to represent a problem situation with algebraic expressions, they had difficulties in using the equal sign and letters for the unknown value while they attempted to generalize a pattern. This paper concludes with some implications on how to connect algebraic thinking with students' arithmetic or informal thinking in a meaningful way, and how to approach algebra at the elementary school level.

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An Investigation of Teaching Methods of Finding out the Greatest Common Divisor and the Least Common Multiple Focused on Their Meanings (최대공약수와 최소공배수를 구하는 과정에서 의미를 강조한 지도방안 탐색)

  • Pang, JeongSuk;Lee, YuJin
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.283-308
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    • 2018
  • 'Divisor and multiple' is the topic included both in the elementary and in the secondary mathematics curriculum, but there has been lack of research on it. It has been reported that students have a difficulty in understanding the meaning of the greatest common divisor (GCD) and the least common multiple (LCM), while they can find out GCD and LCM. Against the lack of research on how to overcome this difficulty, this study designed teaching methods with a model for visualization to emphasize the meanings of divisor and multiple in finding out GCD and LCM, and implemented the methods in one fourth grade classroom. A questionnaire was developed to explore students' solution methods and interviews with focused students were implemented. In addition, fourth-grade students' thinking was compared and contrasted with fifth-grade students who studied divisor and multiple with the current textbook. The results of this study showed that the teaching methods with a specific model for visualization had a positive impact on students' conceptual understanding of the process to find out GCD and LCM. As such, this study provides instructional implications on how to foster the meanings of finding out GCD and LCM at the elementary school.

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Development Convergence Education Program for Elementary and Middle School Using Design (디자인을 활용한 초‧중등 융합교육 프로그램 개발)

  • Lee, Jong-Hak;Yoon, Ma-Byong;Ryu, Sung-Rim;Kim, Hak-Sung
    • Journal of the Korea Convergence Society
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    • v.8 no.10
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    • pp.173-183
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    • 2017
  • The purpose of this study is to develop students' creativity and artistic sensitivity by developing a convergence education program that links various subjects, including mathematics, science, and art based on design. Design is done in almost every human activity that pursues beauty and implements cultural value through patterns and images. We have developed three programs for elementary school students and two programs for middle school students, taking into consideration the achievement standards and curriculum content appropriate for the 2015 revised curriculum. It was assessed by a panel of five educational experts during the development and demonstration courses to evaluate the feasibility of the development program. The development program can enhance the design literacy and design sense of elementary and junior high school students and can be used convergent educational contents that can be applied in the free-semester system activities of junior high school. Through this program, adolescents who will lead the future design society will be able to acquire the sense of design, literacy, and design ability as design consumers and producers.