• 제목/요약/키워드: mathematical understanding

검색결과 1,034건 처리시간 0.023초

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

  • 이정재;윤상현;추신해;심수정
    • 한국수학교육학회지시리즈C:초등수학교육
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    • 제10권1호
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    • pp.57-70
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    • 2007
  • 수학사 관련 교수 학습 자료 개발에만 치중하였고 개발한 교수 학습 자료는 학습내용에 알맞은 수학사나 수학자의 일화로 실제 수업시간 중 흥미유발 자료로 사용하는데 그쳤다. 본 연구에서는 수학사를 보다 적극적으로 활용하기 위해서 문제 파악, 문제추구 및 해결, 적용 발전, 과제 파악 등의 각 학습 단계에서 활용할 수 있는 수학사 자료를 개발하여 실제 수업에 적용해 봄으로써 수학 사업을 개선하는데 도움을 주고자 하였다.

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From Visualization to Computer Animation Approaches in Mathematics Learning: the Legacy throughout History of Human Endeavours for Better Understanding

  • Rahim, Medhat H.
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제17권4호
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    • pp.279-290
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    • 2013
  • Presently, there has been growing interests in using mathematics' history in teaching mathematics [Katz, V. & Tzanakis, C. (Eds.) (2011). Recent Developments on Introducing a Historical Dimension in Mathematics Education. Washington, DC: Mathematical Association of America]. Thus, this article introduces some work of scholars from ancient East Indian culture like Bhaskara (AD 1114-1185) and Arabic culture such as Ibn Qurrah (AD 9th c) that are related to Pythagoras Theorem. In addition, some Babylonian creative works related to Pythagorean triples found in a tablet known as 'Plimpton 322', and an application of the Pythagorean Theorem found in another tablet named 'Yale Tablet' are presented. Applications of computer animation of dissection Motion Operations concept in 2D and 3D using dynamic software like Geometer's-Sketchpad and Cabri-II-and-3D. Nowadays, creative minds are attracted by the recent stampede in the advances of technological applications in visual literacy; consequently, innovative environments that would help young students, gifted or not, acquiring meaningful conceptual understanding would immerge.

수학기호와 그 의미에 대한 고찰 및 도입 방법 (Reflection and Approach on Mathematical Signs and Their Meanings)

  • 김선희;이종희
    • 대한수학교육학회지:학교수학
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    • 제4권4호
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    • pp.539-554
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    • 2002
  • Mathematics is constructed by many signs, and learning mathematics involves the understanding and uses of them. This study reflects mathematical signs and their meanings, and considers how they can be introduced in learning. For these, we first investigated epistemological positions as Piaget, Vygotsky, anthropology, and interactionism. And we investigated semiotic models that Saussure and Peirce built each. Among these we adopted Peirce' triadic model that is consisted of interpretant, object (referent), and represen tamen(sign). In mathematic learning process, representations are transformed by translations and meanings are growed to the representation of another sign. And the meaning of sign grows by learner's interpretation. In terms of theoretical grounds, we settled that the understanding of mathematical signs involved the understanding of their representations and their meanings. On the foundation of above contents, we searched how we introduced signs to students and there were methods that approached to students representationally or inquiringly.

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Social Construction of Mathematics Understanding among Student Peers in Small Group Settings

  • Cho, Cheong-Soo
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제3권2호
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    • pp.89-98
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    • 1999
  • The purpose of this review of literature is to investigate what kinds of research have been done on social construction of mathematics understanding among elementary students in small groups. Only empirical studies were reviewed, and then grouping was done in terms of the purpose of the study. This grouping identified three categories: 1) Social and mathematical norms in mathematics classroom, 2) Teaching productive communication behaviors for active learning in small group, and 3) Participation roles and communication behaviors in different group structure. To enhance social construction of mathematics understanding in small group settings two suggestions are made: the importance of the selection of collaborative tasks or problems and teachers' beliefs about mathematics and the teaching an learning of mathematics.

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수학개념 형성단계에 대한 모델과 적용사례 - 분수체 형성 추상화 단계 (A case study for student's understanding -abstraction process to quotient fields)

  • 최은미
    • 한국수학교육학회지시리즈A:수학교육
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    • 제52권1호
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    • pp.97-109
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    • 2013
  • Research in undergraduate mathematics education has been active very recently. The purpose of the paper is to investigate how college students make ion from some known informations about integer and rational numbers in algebra. Three college students were involved in the study. We analyze student's personal answers in order to find where their misunderstandings and difficulties come from based on the theoretical frameworks on mathematical understanding such as APOS-model and P-K-model. Finally we discuss about constructivist teaching ways for algebra and propose new paradigm for teaching undergraduate mathematics.

<주서관견(籌書管見)>의 구장문답(九章問答)에서의 구장(九章)에 대한 이해 (Understanding of Gujang in the Gujang-Mundab of Ju-Seo-Gwan-Gyeon)

  • 허난
    • East Asian mathematical journal
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    • 제37권4호
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    • pp.427-441
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    • 2021
  • Ju-Seo-Gwan-Gyeon is a mathematical book of Chosun dynasty by Jo Tae Gu. This study is to analyze his understanding for the 'Gujang' in the 'Gujang-Mundab'. From this study, we were able to see the contents of 'Gujang-Mundab' that has been unknown in detail so far. In this study, the following facts are found. Most parts of 'Gujang' in 'Gujang-Mundab' was explained the same as Gu-Jang-San-Sul. This indicates that Ju-Seo-Gwan-Gyeon was influenced by Gu-Jang-San-Sul. However, Ju-Seo-Gwan-Gyeon also contains what he wrote with his own understanding. We expect that the results provide basic information for mathematics history in Korea.

유아수학교육에 대한 유아교사의 수학적 이해에 대한 탐색적 연구 (A Qualitative Research of Mathematical Understanding for Kindergarten's Teachers about Early Childhood Mathematics Education)

  • 계영희
    • 한국수학교육학회지시리즈A:수학교육
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    • 제50권1호
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    • pp.119-128
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    • 2011
  • In this paper, we studied into a qualitative research to see mathematical understanding of preschool and kindergarten's teachers such as feeling attitude, parents' concern, difficulty of math teaching in kindergarten field, teacher's role, type of feed back, beauty of math, relationship of real life, and self philosophy of math education. We selected 10 teachers whose career was 7~10 years. Because this research way is qualitative, we can new aspect that teacher want to break their ignorance for math. Moreover, they would like to learn about math practicality, application, and beauty from art in professional training. Therefore we assert that fusion math lecture would support in the professional training for teacher, preschool or kindergarten's president training, and remuneration training.

2015 개정 수학 교과서에 반영된 의사소통 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 - (A Study on the Communication Competency Represented in the New Seventh Grade Mathematics Textbook)

  • 황혜정
    • East Asian mathematical journal
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    • 제38권2호
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    • pp.165-185
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    • 2022
  • The six core competencies have been emphasized in the mathematics curriculum revised in 2015. In particular, the communication is very important for students' representing their own thinking and enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the communication such as the understanding of mathematical representation, development and transition of mathematical representation, the representation of his own thinking, the understanding of the others' thinking. And also this study selected the domain of function which is comprised of the content of the coordinate plane, the graph, proportionality in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the four elements of the communication competency were shown in each textbook.

직관적·형식적 탐구 기반의 문제해결식 접근법에 따른 수학 문제해결 지도 방안 탐색 (A Study on the Mathematical Problem Solving Teaching based on the Problem solving approach according to the Intuitive and the Formal Inquiry)

  • 이대현
    • 한국수학사학회지
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    • 제32권6호
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    • pp.281-299
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    • 2019
  • Mathematical problem solving has become a major concern in school mathematics, and methods to enhance children's mathematical problem solving abilities have been the main topics in many mathematics education researches. In addition to previous researches about problem solving, the development of a mathematical problem solving method that enables children to establish mathematical concepts through problem solving, to discover formalized principles associated with concepts, and to apply them to real world situations needs. For this purpose, I examined the necessity of problem solving education and reviewed mathematical problem solving researches and problem solving models for giving the theoretical backgrounds. This study suggested the problem solving approach based on the intuitive and the formal inquiry which are the basis of mathematical discovery and inquiry process. And it is developed to keep the balance and complement of the conceptual understanding and the procedural understanding respectively. In addition, it consisted of problem posing to apply the mathematical principles in the application stage.