• Title/Summary/Keyword: mathematics teaching and learning materials

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An Application Case Study of Inventive Mathematical Club for Mathematics Talented students (수학영재교육을 위한 자발적 수학 동아리 운영 사례 분석)

  • Suh, Bo-Euk
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.77-82
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    • 2010
  • This study assumes alternative character of the operation of gifted class in middle school. The case that operated the voluntary mathematics club for one year was analyzed and the educational effect was considered. First, the examination instrument for choosing the members of mathematics club was developed and used. Second, diverse teaching and learning materials for improving creativity and mathematical ability of the members were used. Third, the difference of learning result between the experiment group and control one who joined the activities of mathematics club was analyzed.

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The Effect to Improvement of Self-Educability through the Development and Application of a Level-Learning Materials Reconstructed Text Book - Simultaneous Equations of the Second Year of Middle School - (교과서를 재구성한 수준별 학습지의 개발과 적용을 통한. 자기학습력 신장에 미치는 영향)

  • 박기석;송원수
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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    • pp.69-82
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    • 2000
  • Mathematics is the subject that requires high mental function such as the ability of logically thinking and investigating. Because of the reason there exists much greater difference in students' individual scholastic abilities in mathematics class than in other classes. Recently many schools organize students into two or three level-based mathematics classes according to each student's level to solve the problem. But in spite of its many merits the new system of class organization has some problems. The problem which is pointed out as the most serious thing frequently is that many teachers still use the same textbook and the same teaching method for all students, not considering student's level. Obviously it causes the reduction of students' interest and motivation. In this point of view, I tried to solve such a problem by development and application of level learning materials reconstructed text book according to students' abilities and levels through this research. As the result of the research to examine the changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics has occurred, the following conclusion comes out. 1. Through the mathematics class utilizing level learning materials reconstructed textbook, students come to recognize that level learning materials are more effective than uniformed contents of the same textbook and get more active learning attitude. 2 The application of level learning materials in a level-based class has contributed to increasing students' interest in mathematics. Furthermore it was also effective in the positive changes of students' emotional factors such as the recognition, interest, and attitude which influence on improving self-educability in learning mathematics.

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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.

A Study on Cultivating Creativity through Various and Divergent Thinking Activities - Focused on Mathematics Education in Elementary School - (다양한 확산적 사고활동을 통한 창조성 육성에 관한 연구 - 초등학교 수학교육을 중심으로 -)

  • Lim Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.1
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    • pp.1-19
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    • 2006
  • It is generally accepted that fostering creative thinking is a core in mathematics education and accumulating research products on that topic is really needed. In this study, I hoped to investigate and verify that in mathematics education it was possible to cultivate creative thinking through various and divergent activities, For this purpose, I delat with some illustrations, in which students learned mathematics through the operational activities using teaching tools, problem solving and problem posing activities, and finally they seemed to foster creative mathematical thinking. In conclusion of this paper, I have suggested that in math education those activities should be used to cultivate students' creative thinking in kindergarten or early elementary school. Also I asserted that it is urgently need to store up research products about various materials and methods for those mathematics teaching and learning.

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A Study on Pre-service Teachers' Development of Digital-based Teaching and Learning Materials of Pi (예비교사의 디지털 기반 원주율 교수학습자료 개발 사례 연구)

  • Kang, Hyangim;Choi, Eunah
    • Education of Primary School Mathematics
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    • v.26 no.1
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    • pp.65-82
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    • 2023
  • The purpose of this study is to examine how pre-service teachers' digital capabilities and content knowledge for teaching pi appear and are strengthened in the process of developing digital-based teaching and learning materials of pi, and to derive implications for pre-service teacher education. To this end, the researchers analyzed the process of two pre-service teachers developing exploratory activity materials for teaching pi using block coding of AlgeoMath program. Through the analysis results, it was confirmed that AlgeoMath' block coding activities provided an experience of expressing and expanding the digital capabilities of pre-service teachers, an opportunity to deepen the content knowledge of pi, and to recognize the problems and limitations of the digital learning environment. It was also suggested that the development of digital materials using block coding needs to be used to strengthen digital capabilities of pre-service teachers, and that the curriculum knowledge needs to be emphasized as knowledge necessary for the development of digital teaching and learning materials in pre-service teacher education.

수학사를 활용한 수학수업이 수학과 학습 태도에 미치는 영향

  • Yoo, Kum-Soon;Nam, Young-Man
    • East Asian mathematical journal
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    • v.28 no.4
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    • pp.383-401
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    • 2012
  • The purpose of mathematics education includes two important areas; cognitive area that emphasizes mathematical knowledge and understanding and affective area that stresses mathematical interest and attitude. The purpose of mathematics education is not only in acquiring the contents and knowledge but also rousing up interest and attention toward mathematics. Therefore, effort to accomplish this affective purpose has to be made. Introducing history of mathematics to teaching can be a important method for the students to arouse interest and attention toward mathematics. History of mathematics can help the students who are familiar to only manipulation of the symbols to develop a new way of thinking and mathematical thoughts arousing reflective thinking. According to the survey, although the effect of using mathematics history has been recognized, the mathematics history has neither been developed as teaching materials nor reflected in the courses of study. The purpose of this research is to develop the reading materials into suit for the mathematics curriculum to extract contents of the mathematics valuable in using in elementary mathematics teaching, and to investigate the effect of reading materials using the history of mathematics on learning attitude in elementary school. The way of developing materials in this study is as follows. First, to select the interesting and instructive subject for the elementary students such as the story and life of a mathematician, developmental stages of mathematical theory and calculation currently used and finding the patterns of the rules that requires mathematical thoughts. Second, to classify the selected items according to mathematics curriculum. Third, to reorganize the classified items of the appropriate grade with the reading materials of dialogue pattern in order to draw attention and interest from the students I developed 18 kinds materials in accordance with the above procedure and applied 5 materials among them to one class in 4th grade. Analysing the student's responses, First, using history of mathematics helps the students to arouse interest and confidence on mathematical learning attitude. And the students became better attitude of studying by oneself and attention on class. Second, as know by opinions after lesson, most students have a chance refresh one's thinking of mathematics, want to know the other content of history of mathematics and responded to study hard in mathematics. As a result, the reading materials on the basis of the history of mathematics motivates students for mathematics and helps them become confident in mathematics. If the materials are complemented properly, they will be useful and effective for students and teachers.

A Study of Development and Implementation of Teaching-Learning Materials for Integrated Education of Mathematics and Biological Science - Focused on Probability in Calculus and Basic Statistics Curriculum - (수학과 생명과학 통합 교수-학습 자료 개발 및 적용 -미적분과 통계 기본의 확률의 뜻과 활용 단원을 중심으로-)

  • Shin, Bo Mi;Ju, Eun Hwa
    • Journal of the Korean School Mathematics Society
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    • v.17 no.4
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    • pp.629-656
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    • 2014
  • This study developed teaching and learning materials for an integrated education program of probability and genetics in the light of connections between mathematics and biological science. It also analysed characteristics of high school students' mathematical activities which appeared while the students took part in lessons where the developed materials were contributed in order to teach them. To achieve the aim, this study firstly specified five details for the development of the materials based on the results of previous research and extracted contents of probability and genetics which had the possibility of being taught in the integrated education program by examining the text books. After embodying the teaching materials according to the five details and the extracted contents, the researchers implemented 10 lessons by using the materials. This study elaborated some implications for a succeeding integrated education of mathematics and biological science in term of anlaysis results of features from the students' mathematical understanding and attitudes emerging in the lessons.

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교구를 활용한 학습활동이 각과 각도의 개념이해에 미치는 영향

  • Baek, Jong-Rim;Choi, Jae-Ho
    • East Asian mathematical journal
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    • v.26 no.2
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    • pp.115-140
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    • 2010
  • The purpose of this paper was to develop manipulative materials to teach the angle concepts and construct a teaching-learning program by using that. Furthermore, this study analyzed how does the program affect students understanding of the angle concepts. To check the effects of learning activities with manipulative materials on the understanding of an angle concepts, applied observation during class and write a mathematics journal writing, a description of students impressions at the end of the class and analyzed before and after test paper. We find that students approached the subject more friendly and knew well about the mathematical concepts by using materials. Furthermore, this activity helped that way to solve add and subtract of the angle, estimate ability, round angle concept, positive response in mathematics learning.

Development of teaching-learning materials in lemma-incorporation method of Lakatos (라카토스의 보조정리 합체법을 적용한 교수-학습 자료 개발)

  • Cho Yeol-Je;Ryu Soo-Jeong;Lyou Ik-Seung;Kim Tae-Ho
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.361-372
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    • 2006
  • This study was extended as one of the properties of isosceles triangles to polygons(n-angles) by conjectures-proofs-reputations-reformations and developed teaching-learning materials which can be used in high-level classes for middle and high school students.

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The Effect of using Teaching-Learning Materials from Mathematical History, with Illustrations of the Impact Students -Centered around Sequence Chapter of Mathematics I- (수학사 및 예화자료를 활용한 교수.학습이 학생들에게 미치는 효과 -수학 I 수열 단원을 중심으로-)

  • Yoon Dae-Won;Park Sun-Jung
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.343-359
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    • 2006
  • The purpose of this research is to study the effect of using teaching materials related to the chapter on the mathematical history of sequence and to propose practical ways for teachers to use the materials in class. This study will show how to employ mathematical history to illustrate the practical use of mathematics, arouse students' interest, and improve the understanding of mathematics of students who are not interested in mathematics.

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