• 제목/요약/키워드: mathematics lessons

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"Heart beating" of the classroom-Interaction in mathematics lessons as reflected in classroom discourse

  • Levenberg, Ilana
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제18권3호
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    • pp.187-208
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    • 2014
  • This study engages in the features of interaction in elementary school mathematics lessons as reflected in the class discourse. 28 pre-service teachers documented the discourse during observation of their tutor-teachers' lessons. Mapping the interaction patterns was performed by a unique graphic model developed for that purpose and enabled providing a spatial picture of the discourse conducted in the lesson. The research findings present the known discourse pattern "initiation-response-evaluation / feedback" (IRE/F) which is recurrent in all the lessons and the teacher's exclusive control over the class discourse patterns. Hence, the remaining time of the lesson for the pupils' discourse is short and meaningless.

수학학습부진아 지도를 위한 도움자료의 개발과 효과 분석 (The development of teaching material for stow learners in mathematics and the analysis of its effect)

  • 이남훈;권성룡
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제9권2호
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    • pp.89-105
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    • 2005
  • The purposes of this study were to develop an effective teaching material for slow learners in mathematics and to investigate its effect. To achieve the first goal, several pre-used teaching material and the 7th national curriculum for elementary school mathematics were analyzed to set up a framework fur developing new teaching material. Using these developed framework and curriculum data, 370 units of lesson were developed from the 3rd grade to the 6th grade. To investigate the effect of the material, 3 slow learners (2 from the 5th and 1 from the 6th grade) were selected through diagnostic tests. Then supplementary lessons were administered after school to relieve their disability accordingly for seven months. During the lessons(lasted about 40 minutes), teacher observed the subjects in detail and .judged the teaming sequence and the learning pace. Through this observation and the test administered after the treatment, several conclusions were drawn as follow: First, the supplementary lessons using the developed teaching material helped slow learners understand mathematics and solve problems. Especially, the test scores gained on formative evaluation became higher. This might be caused by the material that enabled to relieve the disablement and the teaching method that aimed to give a meaningful mathematical experience. Second, the supplementary lessons affected positively to the affective domain of the slow learners. They convinced themselves to their mathematical ability and became active in their mathematics class. This was observed by researcher and the class teacher in their lessons. Positive attitude toward mathematics and their ability is quite important for mathematics learning especially fur slow learners in mathematics.

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정규수업과 연계된 수학과의 웹 기반 가정학습에 대한 연구 (On a Web-Based Home Study in the Regular Lessons of Mathematics Education)

  • 류시규;김재욱
    • 한국수학교육학회지시리즈A:수학교육
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    • 제41권1호
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    • pp.59-78
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    • 2002
  • In a globalization and information society in the 21st century, the emphasis of education is on producing people who can create intellectual value. To meet the purpose in mathematics education, students should be taught to be able to understand basic logics and principles and exchange mathematical information each other. Also they had better be guided to study on their own at home in an effective way. In reality, however, most of the home study does not go beyond confirming the same homework. It is very difficult for students to plan systematic preparation and review of their lessons and study on their own. Moreover there seems to be no integration between the lessons students receive at school and in private classes. Therefore the need for more systematic home study in relation to school lessons is high to maximize the teaming effect. Studying through Web has little restriction in terms of time and space. Students can collect useful information inexpensively and share their learning assignment with each other. But mathematics education through Web has not yet been developed in such a way as to see a positive result from it. This research intends to develop a web site where students can study mathematics systematically in a self-guided way. The research methods applied included survey, student discussion and online home study. The questionnaires were designed to figure out students'and parents'changes in their concept of mathematics home study. The research also tried to look for ways to cut down the burden of expensive private lessons in mathematics. The student discussions were made up of problem-making and problem-solving. The discussion procedure was analysed so as to check if students used their creativity while they were working. As stated above, the research aims to develop a web site to support effective home study, enhance students' mathematical ability and reduce the burden of private lessons.

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온라인 수학 수업에서 상호작용 설계에 대한 초등교사의 교육요구도 분석 (An Analysis of Elementary School Teachers' Educational Needs on Designing Interactions for Online Mathematics Lessons)

  • 조미경;김세영
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제25권1호
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    • pp.19-41
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    • 2022
  • 팬데믹으로 인해 초등교육 현장에서 온라인 수업은 보편적인 교수·학습 방법으로 자리매김하였고, 온라인 환경의 특성 및 교과 특수성을 반영해 온라인 수업을 설계하고 실행하는 것이 초등교사들에게 필수 역량이 되었다. 온라인 수학 수업의 질적 개선은 교사들이 온라인 수업에서 실제로 어떤 어려움을 겪고 있는지를 살펴보는 것으로부터 출발할 수 있고, 본 연구는 상호작용 측면에서 초등교사들이 인식하고 실행하는 정도를 조사하여 그들의 교육요구도를 확인하였다. 연구 결과, 초등학교에서 온라인 수학 수업의 설계를 위해 학습자-학습내용 상호작용과 학습자-학습자 상호작용에 관한 교육이 필요한 것으로 나타났고, 상호작용의 세부 항목별 교육요구도를 확인할 수 있었다. 더 나아가, 초등교사의 생애단계에 따라 상호작용 유형에 대한 교육요구도에 차이가 있음을 발견하였다. 이러한 결과를 바탕으로 초등교사들의 온라인 수학 수업에서 상호작용에 관한 설계 전략과 그들의 교육요구도를 반영한 교사교육의 시사점을 제안하였다.

창의성 관점에서 본 제 7차 초등 수학과 교육과정: 규칙성과 함수를 중심으로 (Mathematical Creativity and Mathematics Curriculum: Focusing on Patterns and Functions)

  • 서경혜;유솔아;정진영
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제7권1호
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    • pp.15-29
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    • 2003
  • The present study examined the 7th national elementary school mathematics curriculum from a perspective of mathematical creativity. The study investigated to what extent the activities in the Pattern and Function lessons in the national elementary school mathematics textbooks promoted the development of mathematical creativity. The results indicated that the current elementary school mathematics curriculum was limited in many ways to promote the development of mathematical creativity. Regarding the activities in Pattern lessons, for example, most activities presented closed tasks involving finding and extending patterns. The lesson provided little opportunities to explore the relationships among various patterns, apply patterns to different situations, or create ones own patterns. In regard to the Function lessons, the majority of activities were about computing the rate. This showed that the function was taught from an operational perspective, not a relational perspective. It was unlikely that students would develop the basic understanding of function through the activities involving the computing the rate. Further, the lessons had students use exclusively the numbers in representing the function. Students were provided little opportunities to use various representation methods involving pictures or graphs, explore the strengths and limitations of various representation methods, or to choose more effective representation methods in particular contexts. In conclusion, the lesson activities in the current elementary school mathematics textbooks were unlikely to promote the development of mathematical creativity.

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이공계 신입생의 수학 기초학력과 학업 성취도에 관한 연구 (A Study on the relationship between freshmen's achievements of general mathematics and BMDT)

  • 박형빈;정인철;이헌수
    • 한국수학교육학회지시리즈A:수학교육
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    • 제49권3호
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    • pp.329-341
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    • 2010
  • In this paper, we analyzed the freshmen's achievements on general mathematics their GPA based on 'basic mathematics diagonal test score'. Also, we studied the achievements of students who were not passed the 'Basic Mathematics Diagonal Test (BMDT)' and had to take supplementary lessons to improve their mathematics abilities four times a week during the first semester of academic year 2008 in Mokpo National University. Before taking college entrance exam, high school students had to choose two types of scholastic area. One is on 'Ga' or 'Na' in mathematics and the other is on Natural Science or Social Science. According to the types, we classified the freshman-Ga or Na and NS or SS. We found some facts. First, a few of Ga and NS freshmen had low score on the BMDT. Second, Na and NS freshman got higher score than Na and SS freshmen on the BMDT. Third, Ga and NS freshmen who passed the BMDT got higher score on the general mathematics than those who failed the BMDT. Finally, there are correlations between achievements of general mathematics and a curriculum of freshmen who were passed test after taking supplementary lessons.

창의.인성교육을 위한 수학 수업 모형 사례 (Model lessons of mathematical practice focus on creativity and character education curriculm)

  • 권오남;박지현;박정숙
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권4호
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    • pp.403-428
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    • 2011
  • The direction of recent education literature points to the importance of creativity and creative practices, which also plays an important role in character education and has been recognized as being invaluable for the educational goals of the 21st century. As such, the goal of mathematics educators and researchers has also been on emphasizing the importance of building character and promoting creative practices. In this research, we study the pedagogical measures that can be easily implemented in classrooms to foster creative mathematical thinking and practices in students. In particular, the mathematical topic of interest is three-dimensional geometry, and especially polygons, and processes in which mathematical knowledge and creative practices play out in classrooms. For example, we explore how these creative lessons can be organized as the target internalization lessons, concepts definition lessons, regularity and relationship lessons, question posing lessons, and narrative story lessons. All of these lessons share three commonalities: 1) they require specific planning and execution challenges in order to achieve creative tasks, 2) they take advantage of open-ended problems, and 3) they are activity-oriented. Through this study, we hope to further our understanding on successful creative mathematical educational practices in the field of mathematics education, and help establish model lessons and materials for teachers and educators to use towards such goals.

교사학습공동체를 기반으로 한 초등학교 수학 수업연구의 긍정적인 측면과 한계점 분석 (An Analysis of Strengths and Weaknesses in the Study of Elementary Mathematics Lessons via Teacher Learning Community)

  • 선우진;방정숙
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제17권3호
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    • pp.189-203
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    • 2014
  • 교사들의 지속적인 수업전문성 신장을 도모하기 위한 대안으로써 최근 수학 교사교육 연구에서는 교사학습공동체를 주목하고 있다. 이에 본 연구에서는 실제 현장에서 운영되고 있는 교사학습공동체 사례를 분석하여 교사학습 공동체를 기반으로 한 초등학교 수학 수업연구의 긍정적인 측면과 한계점을 규명하고자 하였다. 연구 결과, 교사들의 수학 교과 관련 지식의 신장, 교사로서의 성취감 및 동료 교사와의 친밀감 증진, 동료 교사들 간의 상호교수, 지속적인 수업연구 시스템 정착을 통한 탐구적인 교사 문화의 형성이 긍정적인 측면으로 확인되었으며, 교사학습공동체 내 자체 규범에 의한 제한, 경력교사의 영향력에 의한 제한, 교사들의 의사결정에 대한 비전문성, 수업평가 및 반성에 대한 체계성 부족이 한계점으로 확인되었다. 이와 같은 결과를 바탕으로 교사학습공동체 기반 수학 수업 연구의 개선 방향에 대한 시사점을 논의하고자 한다.

오답사례 조별발표방식이 수학과 학습태도 및 학업성취에 미치는 영향 (The Effect of the Learning Attitude and Achievement by the Group Presentation Method of Incorrect Answer Case in Mathematics)

  • 곽만영;김승동
    • 한국학교수학회논문집
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    • 제3권1호
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    • pp.31-45
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    • 2000
  • The idea to be changed first among the general ideas of mathematics is that, from the standpoint of teachers, one-sided teaching is efficient due to the progress of classwork of excessive quantity, and, from the standpoint of students, they say they gave up mathematics publicly feeling uneasiness in every class because of the deficiency of previous learning and interest, and they think all problems are due to the educational system, neglecting their studies, not participating actively in lessons. Therefore this study is, after giving learning points and problem papers of which the degree of difficulty differs to the groups of students divided into the advanced, intermediate, and elementary by personal abilities of learning and concerns, tried out to remove uniformity and integrity of lessons through solving the problems students can, to convert lessons to the learner-oriented that learners take part in voluntarily through discussing, solving the problems, and correcting the errors of them by group-cooperative actions, for the students to realize that they can solve everything only by their own endeavors.

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Insight into the Development of Mathematics Teaching: A Comparative Study of Two Videotaped Lessons

  • Li, Shiqi;Yang, Yudong
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제11권3호
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    • pp.165-176
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    • 2007
  • From the perspective of phenomenongraphy(根据登的象式), two videotaped mathematics lessons were observed, compared and analyzed, and the features of those times were extracted. The quantitative and qualitative analysis of the global structure and the questioning in the lessons etc. showed that in teaching behaviors there were some essential differences reflecting the impact of new beliefs and principles of teaching. Evidences also show that excellent teachers did keep and carry on the good tradition teaching for basic knowledge and basic skills were seen as the most important thing in mathematics teaching in China.

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