• Title/Summary/Keyword: mathematics teaching model

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A New Start into Mathematics: A Project Concerning the Education of Mathematics Teachers for Primary Schools in Germany

  • Albers, Reimund;Peitgen, Heinz-Otto
    • Research in Mathematical Education
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    • v.14 no.2
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    • pp.115-122
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    • 2010
  • The education of teachers in mathematics consists of two parts: enhancing the math-skills of the students and education in didactics. Mainly the math is taught in lessons for 50 to 100 students or even more. This has wrong influence to the teaching style and the attitude towards mathematics. This paper reports about a project, where active schoolteachers are involved in teaching the mathematics content. This is done in workshops, where the teaching can be a model for teaching a class. In addition there is the chance to inspire the students for mathematics.

A Study on Application of Teaching-Learning Program based on Constructivist Views for Mathematically gifted Students in Primary School (초등 영재 교육에서의 구성주의 교수.학습 모형 적용 연구 - 알고리즘 문제를 중심으로 -)

  • Choi, Keun-Bae;Kim, Hong-Seon
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.153-176
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    • 2007
  • The purpose of this paper is to analyze teaching-learning program which can be applied to mathematically gifted students in primary school, Our program is based on constructivist views on teaching and learning of mathematics. Mainly, we study the algorithmic thinking of mathematically gifted students in primary school in connection with the network problems; Eulerian graph problem, the minimum connector problem, and the shortest path problem, The above 3-subjects are not familiar with primary school mathematics, so that we adapt teaching-learning model based on the social constructivism. To achieve the purpose of this study, seventeen students in primary school participated in the study, and video type(observation) and student's mathematical note were used for collecting data while the students studied. The results of our study were summarized as follows: First, network problems based on teaching-learning model of constructivist views help students learn the algorithmic thinking. Second, the teaching-learning model based on constructivist views gives an opportunity of various mathematical thinking experience. Finally, the teaching-learning model based on constructivist views needs more the ability of teacher's research and the time of teaching for students than an ordinary teaching-learning model.

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Development of a teaching-learning model for effective algorithm education (효과적인 알고리즘 교육을 위한 교수-학습 모형 개발)

  • Han, Oak-Young;Kim, Jae-Hyoun
    • The Journal of Korean Association of Computer Education
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    • v.14 no.2
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    • pp.13-22
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    • 2011
  • The importance of algorithm education has been emphasized for creative problem-solving capability. Especially, algorithm teaching materials related with mathematics and science are under development to enhance logical thinking. However, there are not enough teaching-learning models applicable in the field of education. Therefore, this paper proposed a teaching-learning model for effective algorithm education. The teaching-learning model reflects two characteristics : an algorithm learning process is spiral, and algorithm education is based on logical thinking. Furthermore, a survey was conducted for students' satisfaction, and the result was a mixed teaching-learning model with PBL, SDL, and peer tutoring. Based on the proposed model, examples of classes for mathematics and science are suggested to show the feasibility of effective algorithm education.

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컴퓨터를 활용한 수학과 수업 모형

  • 강윤수
    • Journal for History of Mathematics
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    • v.15 no.2
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    • pp.113-124
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    • 2002
  • The main purpose of this study is to classify types of class using computer in the school mathematics classroom. For this purpose, we will first survey the Tyle's theory relate to the curriculum model and its details. Then we will investigate the crucial points using computer in the school mathematics classroom in the viewpoint of Glaser's teaching model. From this, we will device several types of mathematics class using computer.

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A Study on the Development and Application of Teaching and Learning Model for the Improvement of Mathematical Communication Ability (수학적 의사소통 능력 신장을 위한 교수-학습 모형 개발 및 적용 연구)

  • Lee, Eun-Ju;Lee, Dae-Hyun
    • Education of Primary School Mathematics
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    • v.14 no.2
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    • pp.135-145
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    • 2011
  • When mathematicians solve the new problems, they present the solutions to their colleagues for getting the approval. If the solution is accepted, it will be theorems. This phenomenon also happens to classrooms in elementary and secondary school. That is main reason to emphasize mathematical communication activities in mathematics education. This study is aimed to develop teaching and learning model for the improvement of mathematical communication ability, applicate the teaching and learning model to two groups and analyze for mathematical thoughts. This study is a case study of 3rd grader's activities. Eight students, four are group applied the teaching and learning model and four are traditional group. The results have been drawn as follows: First, students in the teaching and learning model group induced richer interactions for student's understanding and investigation when we compare to those of traditional group. Second, students in the teaching and learning model group have the chance to explain their thoughts. And we can observe students to clear on their thought through speaking and discussing. This model makes students to enhance organizing, forming and clearing in their mathematical thoughts and is effective to estimate of students thought for teacher.

A Study of the Teaching-learning Model of the Combination Training of Mathematics-information Gifted Students (수학.정보영재 통합운영 교수-학습모형에 관한 연구)

  • Lee, Seok-Ju;Kim, Eui-Jeong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.3
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    • pp.596-601
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    • 2008
  • The study shows the typical 7 models of gifted students teaching-learning developed at home and abroad so far and suggests on integrated teaching-learning model that we can commonly apply to mathematics-information gifted students. This teaching-learning model is developed, based on Renzulli Enrichment Triad Model.

The Developmental Study of Mathematics Textbook Model Based on Storytelling for 2nd Grade in Middle School (중학교 2학년 스토리텔링 모델 수학교과서 개발 및 적용)

  • Lee, Jae Hak;Suh, Boeuk;Kwon, Young Cheol;Shin, Hyun Yong;Lee, Kyung Eon;Lee, Geun Suk;Jun, Youn Bae
    • Communications of Mathematical Education
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    • v.27 no.3
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    • pp.321-339
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    • 2013
  • This study is basic research about actualizing mathematical teaching and learning based on storytelling that is raised for reforming school mathematics education. We have developed mathematics textbook model for 2nd grade in middle school based on storytelling. It was applied in the middle school classroom and the results were analyzed. In order to develop the mathematics textbook model, the procedures and methods of development were extracted from the literature. And mathematics textbook model was developed in accordance with the process and methods. To apply it in school 20 hours of instruction were carried out. For the analysis of the results, we conducted a questionnaire survey, the teachers' interview, the affective test and math anxiety test. Through the results of this study, we will be able to check the possibility of storytelling in mathematics class. And it will be also the foundation of mathematics teaching and learning based on storytelling in middle school.

Analysis on the Theoretical Models Related to the Integration of Science and Mathematics Education: Focus on Four Exemplary Models

  • Lee, Hyon-Yong
    • Journal of The Korean Association For Science Education
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    • v.31 no.3
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    • pp.475-489
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    • 2011
  • The purposes of this study were to inform the exemplary models of integrated science and mathematics and to analyze and discuss their similarities and differences of the models. There were two steps to select the exemplary models of integrated science and mathematics. First, the second volume (Berlin & Lee, 2003) of the bibliography of integrated science and mathematics was analyzed to identify the models. As a second step, we selected the models that are dealt with in the School Science Mathematics journal and were cited more than three times. The findings showed that the following four exemplary theoretical models were identified and published in the SSM journal: the Berlin-White Integrated Science and Mathematics (BWISM) Model, the Mathematics/Science Continuum Model, the Continuum Model of Integration, and the Five Types of Science and Mathematics Integration. The Berlin-White Integrated Science and Mathematics (BWISM) Model focused an interpretive or framework theory for integrated science and mathematics teaching and learning. BWISM focused on a conceptual base and a common language for integrated science and mathematics teaching and learning. The Mathematics/Science Continuum Model provided five categories and ways to clarify the extent of overlap or coordination between science and mathematics during instructional practice. The Continuum Model of Integration included five categories and clarified the nature of the relationship between the mathematics and science being taught and the curricular goals for the disciplines. These five types of science and mathematics integrations described the method, type, and instructional implications of five different approaches to integration. The five categories focused on clarifying various forms of integrated science and mathematics education. Several differences and similarities among the models were identified on the basis of the analysis of the content and characteristics of the models. Theoretically, there is strong support for the integration of science and mathematics education as a way to enhance science and mathematics learning experiences. It is expected that these instructional models for integration of science and mathematics could be used to develop and evaluate integration programs and to disseminate integration approaches to curriculum and instruction.

A Study of Modeling Applied Mathematical Problems in the High School Textbook -Focused on the High School Mathematics Textbookin the First Year- (모델링을 활용한 문제의 연구 - 일반수학을 중심으로 -)

  • 김동현
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.131-138
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    • 1998
  • The aims of mathematical education are to improve uniformity and rigidity, and to apply to an information age which our society demands. One of the educational aims in the 6th educational curriculum emphasizes on the expansion of mathematical thought and utility, But, The change of contents in the text appears little. This means that mathematical teachers must actively develop the new types of problems. That the interests and concerns about mathematics lose the popularity and students recognize mathematics burdensome is the problems of not only teaching method, unrealistically given problems but abstractiveness and conceptions. Mathematical Modeling is classified exact model, almost exact theory based model and impressive model in accordance with the realistic situation and its equivalent degree of mathematical modeling. Mathematical Modeling is divided into normative model and descriptive model according to contributed roles of mathematics. The Modeling Applied Problems in the present text are exact model and stereotyped problems. That the expansion of mathematical thought in mathematics teaching fell into insignificance appears well in the result of evaluating students. For example, regardless of easy or hard problems, students tend to dislike the new types of mathematical problems which students can solve with simple thought and calculation. The ratings of the right answer tend to remarkably go down. If mathematical teachers entirely treat present situation, and social and scientific situation, students can expand the systematic thought and use the knowledge which is taught in the class. Through these abilities of solving problems, students can cultivate their general thought and systematic thought. So it is absolutely necessary for students to learn the Modeling Applied Problems.

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Consideration of Mathematical Modeling as a Problem-based Learning Method (문제 중심 학습의 방법으로서 수학적 모델링에 대한 고찰)

  • Kim, Sun-Hee
    • School Mathematics
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    • v.7 no.3
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    • pp.303-318
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    • 2005
  • If students can use mathematics to solve their problems and learn the mathematical knowledge through it, they may think mathematics useful and valuable. This study is for the teaching through problem solving in mathematics education, which I consider in terms of the problem-based learning and mathematical modeling. 1 think mathematical modeling is applied to teaching mathematics as a problem-based learning. So I developed the teaching model, and showed the example that students learn the formal and hierarchic mathematics through mathematical modeling.

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