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

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Mathematical Communication and Mathematics Learning-Teaching (수학적 의사소통과 수학의 교수-학습)

  • 유현주
    • School Mathematics
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    • v.2 no.1
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    • pp.53-72
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    • 2000
  • The purpose of this study is to review theoretically the meaning and importance of mathematical communication and to search effective teaching-learning materials to develop it. This study has the content on relation of learning & communication, the qualitative examination of student's response in some mathematical communication tasks and materials of teaching mathematical communication.

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A Study on Teaching-Learning programs of Mathematics Education and Mathematics History Related Courses for Training of Mathematics Teacher of Secondary Schools (중등 교사 양성을 위한 수학교육학 및 수학사 강좌에 대한 연구)

  • 한인기
    • The Mathematical Education
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    • v.42 no.4
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    • pp.465-480
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    • 2003
  • The main purpose of this work is to propose programs of mathematics education and mathematics history courses for the department of mathematics education of teacher training universities. Foundation of Mathematics Education, Mathematics Teaching and Learning Theories, Mathematics Problem Solving, Analysis and Evaluation of Mathematics Teaching Materials and Mathematics History are discussed in this article.

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A study on teaching unit material for teaching and learning of sequences - polygonal numbers and pyramidal numbers (수열의 교수.학습을 위한 교수단원 소재 연구 - 다각수와 각뿔수)

  • 박교식
    • School Mathematics
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    • v.4 no.3
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    • pp.361-373
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    • 2002
  • In this paper, a series of tasks related on polygonal numbers and pyramidal numbers are suggested for using them as teaching unit materials for teaching and learning of sequences in junior high school mathematics. Especially, finding n-th term in those seque-nces, relations among polygonal numbers, and relations among Pyramidal numbers are focused on. A series of tasks related on polygonal numbers and pyramidal numbers have three math-eucational values. First, they have a value as natural materials for teaching and teaming of finding nth term of original sequences using pro-gression of differences. Second, they have a value as materials for teaching and learning of mathematical thinking such as general-ization, analogy, etc. Third, they have a value as materials for teaching and learning of algebraic operation, proof, and connecting mathematical knowledges.

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A Study on Development of Integrating Mathematics and Coding Teaching & Learning Materials Using Python for Prime Factorization in 7th Grade (파이썬을 활용한 중학교 1학년 소인수분해의 수학과 코딩 융합 교수·학습 자료 개발 연구)

  • Kim, Ye Mi;Ko, Ho Kyoung;Huh, Nan
    • Communications of Mathematical Education
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    • v.34 no.4
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    • pp.563-585
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    • 2020
  • This study developed teaching-learning materials for mathematics and coding convergence classes using Python, focusing on 'Prime Factorization' of seventh graders. After applying the teaching methods and contents to the students, they analyzed whether the learners achieved their learning goals. The results were used to modify and supplement teaching and learning materials. Affective domain of learners were also analyzed. The results are that the teaching methods and contents of the developed teaching-learning materials were generally appropriate for learners. The learners understood most of the lessons according to the set teaching methods of all classes. And learners have mostly reached their learning goals. In addition, as a result of analyzing the definition characteristics of learners through follow-up interviews, the interest in mathematics and programming has improved. The developed teaching and learning materials of this study are well consisted mostly of the teaching methods and the contents of the classes, and are organized so that learners can reach most of the learning goals. It also brought positive changes to the affective domain of mathematics and coding, demonstrating the potential for useful use in school.

Development and Application of Teaching and Learning Materials for Gifted Students in Elementary School (초등수학영재를 위한 교수학습 자료 개발 및 적용)

  • Kim, Sung Joon
    • East Asian mathematical journal
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    • v.37 no.4
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    • pp.443-460
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    • 2021
  • This study analyzes the characteristics of elementary math gifted classes through the development and application of teaching and learning materials. We used the guided reinvention methods including quasi-experiential perspectives. To this end, the applicability of Lakatos' quasi-empirical mathematical philosophy in elementary mathematics was examined, and the criteria for the development of teaching and learning materials for gifted students were presented, and then this study was conducted in this theoretical background. The subjects of the study were 21 elementary students at P University's Institute of Science and Gifted Education, and non-face-to-face real-time classes were conducted. Classes were divided into introduction, deployment1, deployment2, organization stages, and in each stage, small group cooperative learning was conducted based on group activities, and in this process, the characteristics of elementary mathematics gifted were analyzed. As a result of the study, elementary mathematics gifted students did not clearly present the essence of justification in the addition algorithm of fractions, but presented various interpretations of 'wrong' mathematics. They also showed their ingenuity in the process of spontaneously developing 'wrong' mathematics. On the other hand, by taking interest in new mathematics starting from 'wrong' mathematics, negative perceptions about it could be improved positively. It is expected that the development of teaching and learning materials dealing with various and original topics for the gifted students in elementary school will proceed through follow-up research.

The Role of Teachers in Reform the Culture of Mathematics Classroom (수학 교실 문화 개선을 위한 교사의 역할)

  • Park, Sung-Sun
    • Education of Primary School Mathematics
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    • v.10 no.2
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    • pp.151-161
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    • 2007
  • There were a lot of attempt to reform mathematics education. These may include reforms of teaching and learning methods, development of mathematics curriculum and textbooks, materials and resources for teaching. But the most important thing is reform of teaching and learning method. The teaching and learning in mathematics is related with culture of mathematics classroom. Thus the culture of mathematics classroom plays a critical role in the learning of mathematics. Although there is consensus what desirable culture of mathematics classroom is, the role of teachers is important to make desirable culture of mathematics classroom. So, this paper suggested the role of teachers in reforming the culture of mathematics classroom. Avoiding from routine and technical teaching, the teachers should play active role in constructing mathematical understanding of students.

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Analysis on the development of integrated teaching-learning materials of the mathematics and other subjects (수학교과의 통합 교수-학습자료 개발 현황 분석)

  • Park, Hye Sook
    • Journal of the Korea Convergence Society
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    • v.8 no.7
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    • pp.331-339
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    • 2017
  • Mathematics has kept the relationships with other studies constantly. However, there is not many researches about the integrated teaching-learning materials for mathematics. In this paper, we review the integrated learning theories and domestic research trends of the integrated learning for the mathematics. Through the literature review, we survey the integrated teaching-learning materials, which integrate the mathematics and other subjects for the secondary school. As a result, it can be seen that integrated teaching-learning materials of mathematics and science, social studies, arts, physical education, and korean literature have recently been developed to help raise awareness of the usefulness of mathematics. Further study on the revision and supplementation of these materials should be carried out based on this paper.

A Study on Development of Problem-Centered Learning Materials for the 7th Mathematics Curriculum (제 7차 수학 교육과정에 따른 수학과 문제 중심 학습 자료 개발 연구)

  • 신인선;권점례
    • The Mathematical Education
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    • v.42 no.3
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    • pp.369-386
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    • 2003
  • Problem-centered learning has many implications on teaching and learning mathematics. Students devise their solutions to solve problems and participate in the discussion with teacher and other students to share and justify their solution during the problem-centered learning. Therefore, we purposed to provide problem-centered loaming materials to be able to use in teaching and loaming the 7th mathematics curriculum in this study. First, we reviewed the 7th curriculum and its textbooks to know what and how students learn and suggested the problem-centered learning as a teaching method to perform the 7th curriculum. Next, we developed the problem-centered loaming materials for 6th grade in elementary school and taught students with these materials to amend errors. Finally, we developed evaluation criteria to evaluate students while they teamed mathematics in the problem-centered learning.

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A Study on the Process of Teaching.Learning Materials Development According to the Level in the Figurate Number Tasks for Elementary Math Gifted Students (초등 수학 영재를 위한 도형수 과제의 수준별 교수.학습 자료 개발 절차와 방법에 관한 연)

  • Kim, Yang-Gwon;Song, Sang-Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.745-768
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    • 2010
  • The purpose of this study at gifted students' solving ability of the given study task by using all knowledge and tools which encompass mathematical contents and curriculums, and developing the teaching learning materials of gifted students in accordance with their level which tan enhance their mathematical thinking ability and develop creative idea. With these considerations in mind, this paper sought for the standard and procedures of teaching learning materials development according to the levels for the education of the mathematically gifted students. presented the procedure model of material development, produced teaching learning methods according to levels in the task of figurate number, and developed prototypes and examples of teaching learning materials for the mathematically gifted students. Based on the prototype of teaching learning materials for the gifted students in mathematics in accordance with their level, this research developed the materials for students and materials for teachers, and performed the modification and complement of material through the field application and verification. It confirmed various solving processes and mathematical thinking levels by analyzing the figurate number tasks. This result will contribute to solving the study task by using all knowledge and tools of mathematical contents and curriculums that encompass various mathematically gifted students, and provide the direction of the learning contents and teaching learning materials which can promote the development of mathematically gifted students.

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A Study on the Improvement of Teaching Mathematics via the Use of the Mathematical History based on the Learning Stages (학습 단계별 수학사 활용 학습을 통한 수학 수업 개선)

  • Lee, Jeong-Jae;Yun, Sang-Hyun;Choo, Shin-Hae;Shim, Soo-Jeong
    • Education of Primary School Mathematics
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    • v.10 no.1 s.19
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    • pp.57-70
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    • 2007
  • This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

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