• Title/Summary/Keyword: 수학 교수학습의 내용 및 방법

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The Keyword-based Learning Effect of the discipline of Mathematics Education for Pre-service Mathematics Teachers (예비 수학교사의 수학교육학 키워드 중심 학습 효과)

  • Kim, Changil;Jeon, Young Ju
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.493-506
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    • 2014
  • This study is to seek access to a way of learning of the discipline of mathematics education, one of several knowledge is required to pre-service mathematics teachers. First, by selecting the key topics and researchers in mathematics education learning materials were produced by the relevant classification information by keyword. This applies to pre-service teachers in the curriculum, and looked to clarify the theoretically connectivity among the researchers and concepts and principles of the discipline of mathematics education. And as a result, investigate whether there is any effect to the pre-service teacher education.

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The Effects of Mentoring Experience in STEAM Classes on Pre-service Mathematics Teachers' Teaching Competency for STEAM Education (STEAM 수업에서의 멘토교사 경험이 예비수학교사들의 STEAM 교수 역량에 미치는 효과)

  • Han, Hyesook
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.1-22
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    • 2018
  • The purpose of the study was to examine the effects of mentoring experience in STEAM classes on pre-service mathematics teachers' teaching competency for STEAM education. The study was conducted with 23 pre-service mathematics teachers who participated in the mentoring program affiliated with free learning semester system during one semester. To investigate the changes of pre-service mathematics teachers' teaching competencies for STEAM education and the effects of the mentoring program, pre, post questionnaires, lesson journals, and whole group discussion data were collected. According to the results, pre-service mathematics teachers' competencies for 'knowledge of STEAM education', 'subject matter knowledge', 'teaching and learning methods', and 'learning environments and circumstances' categories were improved significantly after the mentoring program. Especially, some results indicated that pre-service mathematics teachers' teaching experiences in real STEAM classrooms were very helpful for the development of understandings of STEAM education and construction of practical knowledge.

A Study on the Teaching Method for Activities Justify of Paper Folding by Given Size Colored Paper (최대 넓이의 정다각형 종이접기 정당화 활동을 위한 영재학급에서의 교수·학습 방법 개선에 관한 연구)

  • Lee, Seung Hwan;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.4
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    • pp.695-715
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    • 2016
  • This study is on the teaching method for the students who belong to the same school (one, the gifted class, passed gifted education of Science High school ), 1-1, face-to-face learning (two, good students in regular classroom) with a teacher, paired learning teams (4 people, gifted classes), and group lessons (20 people, gifted classes) and using the justification analysis framework tool(PIRSO) of Kim(2010) analyzes the justification element of the students in the group classes regular polygons paper was to explore ways to improve the justification of the folding maps activities. As a result, the width of the largest polygon difficulty level appropriate to the class for gifted elementary school classes but the individual learning style of the 1-1 face-to-face with a teacher or discussion with colleagues and cooperative approach is justified, rather than the material of the study of origami activities it turned out to be more effective in improving the level of justification. Unlike the individual learning activities, the exploration for class is the need to strain in parallel to the student is selected as needed, rather than serial manner was confirmed that it is necessary to clearly present problems even from the beginning. Development of teaching through the implications obtained from this method of reconstruction activities and proposed improvement measures for questioning.

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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The Effects of Problem Posing Program through Structure-Centered Cooperative Learning on Mathematics Learning Achievements and Mathematical Disposition (구조중심 협동학습을 통한 문제 만들기 학습이 수학학업성취도 및 수학적 성향에 미치는 효과)

  • Yun, Mi-Ran;Park, Jong-Seo
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.2
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    • pp.101-124
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    • 2008
  • The purpose of this study is to test if problem posing based on structural approach cooperative learning has a positive effect on mathematical achievement and mathematical disposition. For this purpose, this study carried out tasks as follows: First, we design a problem posing teaching learning program based on structural approach cooperative learning. Second, we analyze how problem posing based on structural approach cooperative learning affects students' mathematical achievement. Third, we analyze how problem posing based on structural approach cooperative learning affects students' mathematical disposition. The results of this study are as follows: First, in the aspect of mathematical achievement, the experimental group who participated in the problem posing program based on structural approach cooperative teaming showed significantly higher improvement in mathematical achievement than the control group. Second, in the aspect of mathematical disposition, the experimental group who participated in the problem posing program based on structural approach cooperative teaming showed positive changes in their mathematical disposition. Summing up the results, through problem posing based on structural approach cooperative learning, students made active efforts to solve problems rather than fearing mathematics and, as a result, their mathematical achievement was improved. Furthermore, through mathematics classes enjoyable with classmates, their mathematical disposition was also changed in a positive way.

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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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An Analysis about Narrative of Weights and Measures in Korean Elementary Mathematics Textbooks (한국 초등수학 교과서의 도량형 서술 내용에 대한 분석)

  • Lee, Jong-hak;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.183-197
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    • 2019
  • The purpose of this study is to support elementary teachers to use the teaching of weights and measures. To help the author of the next elementary mathematics textbook to be used as a reference for the quantitative narrative process. For this purpose, I focused on the contents of textbooks in terms of definition, a unit of measure, and calculation. As a result, first, as for the definition of weights and measures, it is taken as an example rather than as an explicit statement. Second, several problems were found in the metrology content and metric unit introduction order. Third, the computation between measurement units stood in simple computation rather than procedural knowledge. Fourth, it was concluded that the reason and groundbreaking of the grade-specific differences and the amount of a student's education are necessary.

The Study on the Investigation of the Evaluation Standards for Mathematics Teaching Focused on Teacher's Knowledge (수학 수업에서 요구되는 교사 지식에 대한 평가 기준 재탐색)

  • Hwang, Hye-Jeang
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.109-135
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    • 2012
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

Study on Big Data Utilization Plans in Mathematics Education (수학교육에서 빅데이터 활용 방안에 대한 소고)

  • Ko, Ho Kyoung;Choi, Youngwoo;Park, Seonjeong
    • Communications of Mathematical Education
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    • v.28 no.4
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    • pp.573-588
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    • 2014
  • How will the field of education react to the big data craze that has recently seeped into every aspect of society? To search for ways to use big data in mathematics education, this study first examined the concept of big data and examples of its application, and then pursued directions for future research in two ways. First, changes in the representation and acceptance of data are required because of changes in technology and the environment. In other words, the learning content and methodology of data treatment need to be changed by describing a myriad amount of data visually or by 'analyzing and inferring' data to provide data efficiently and clearly. Additionally, the mathematics education field needs to foster changes in curricula to facilitate the improvement of students' learning capacity in the 21st century. Second, it is necessary to more actively collect data on general education and not merely on teaching or learning to identify new information, pursue positive changes in the teaching and learning of mathematics, and stimulate interest and research in the field so that it can be used to make policy decisions regarding mathematics education.

A Study on Alignment of Assessment with Curriculum and Instruction in Mathematics Education : A Synthesis of Research (평가와 교육과정 및 교수방법의 일관성에 관한 연구: 연구의 종합)

  • Oh Young Youl
    • Journal of Educational Research in Mathematics
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    • v.13 no.2
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    • pp.107-122
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    • 2003
  • The present study aims at theoretically reviewing studies en the need of alignments among assessment, curriculum and instruction in order to implement the goals of mathematics education. This paper discusses about issues and models fer alignment between instruction and curriculum, and then mainly focuses on alignment of assessment with instruction and curriculum at two levels, classroom and large-scale assessment. It was pointed out that both many published standardized tests for large-scale assessment and classroom assessments failed to meet curricular goals and contents, and instructional methods. The findings imply that reform in mathematics education should not be driven by assessment, but be embedded in instructional practices.

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