• Title/Summary/Keyword: mathematical creativity

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Integrating Math and Music: Teaching Ideas

  • NOH, Jihwa;HUH, Nan
    • Research in Mathematical Education
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    • v.19 no.3
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    • pp.177-193
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    • 2015
  • Mathematical creativity, an important goal in mathematics education, can be promoted through an integrated learning environment where students explore mathematics with other subject areas such as science, technology, engineering and art. Establishing such learning environments is not a trivial task. Therefore, this creates a need for the development of instructional resources promoting meaningful integration. This paper focuses on integration of the fields of mathematics and music. Beginning with some of the historical discoveries and views of the connections between mathematics and music, this paper attends to several musical concepts correlating to middle school mathematical content and then provides ideas for teaching.

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

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.35 no.4
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    • pp.407-427
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    • 2019
  • The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the problem solving is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of the problem solving such as problem solving process, cooperative problem solving, mathematical modeling, problem posing. 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 problem solving competency were shown in each textbook.

An Exploration on the Reasoning Competency Element Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 추론 역량 요소 탐색 - 중학교 1학년 함수 영역을 중심으로 -)

  • Hwang, Hye Jeang
    • East Asian mathematical journal
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    • v.37 no.2
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    • pp.149-167
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    • 2021
  • The six core competencies included in the mathematics curriculum revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the reasoning is very important for students' enhancing much higher mathematical thinking. Based on this competency, this study selected the four elements of investigation and fact guess, justification, the logical performance of mathematical content and process, reflection of reasoning process, 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 reasoning competency were shown in each textbook.

List and Classification of Bumwoo KIM Chi Young's Contributions on Mathematics Education (범우 김치영선생의 수학교육에 관한 업적의 목록과 그 분류)

  • Lee, Kang Sup
    • Journal for History of Mathematics
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    • v.29 no.5
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    • pp.279-294
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    • 2016
  • In this study, Bumwoo KIM Chi Young's (1916.12.24~1995.4.22) papers, essays and books on mathematics education were collected and classified. Bumwoo KIM Chi Young was the most important person on the New Math Movement (Modernization for Mathematics Education), and in 1973, he led the Third Reformation of National School Mathematics Curriculum in Korea. Bumwoo emphasized mathematical structure in mathematics education, and he was a strong advocate of importance of set theory, creativity and the type of spiral learning.

A Case Study on the Use of Mathematical Materials in Elementary School Mathematics (초등수학 수업에서 교구의 활용에 대한 사례연구)

  • Choi, Eun-Joo;Choi, Chang-Woo
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.1
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    • pp.31-49
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    • 2009
  • Utilizing the mathematical materials in elementary mathematics education is known to increase the learners' creativity and interests for mathematics. Although the effects of mathematical materials have been frequently researched, a practical plan and a process to utilize the mathematical materials has been rarely researched. The dependence on the mathematical materials is tested by the students' responses to the mathematical problems in the class that allowed to use mathematical materials. The activities in the text book are reorganized to seven chapters for utilizing the mathematical materials. The dependence on the mathematical materials when solving the mathematical problems is investigated by the textbook, students' answers, and handouts. The conclusions of this study are: First of all, the activities using mathematical materials are reorganized within the mathematics education curriculum. The high interests are also investigated in all the learning level of learners. Second, the learners in the high learning level use the mathematical materials for their needs and the correction of their mistakes. The dependence on mathematical materials is lowest compared to the other level learners. Third, the learners in the mid learning level also use the mathematical materials for their needs and their mistakes, but are often confused when utilizing the materials. Fourth, the learners in the low learning level show their interests, and enthusiasm in the mathematical materials themselves. Their interests help to solve mathematical problems. The dependence on the materials is higher than the other level learners, but the dependence is not shown only for the low level learners.

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MCY-Mentoring Activities by Creating and Communicating Mathematical Objects

  • Cho, Han-Hyuk;Lee, Ji-Yoon;Shin, Dong-Jo;Woo, Ahn-Sung
    • Research in Mathematical Education
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    • v.15 no.2
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    • pp.141-158
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    • 2011
  • In recent years, an increasing number of viewpoints hold that students should be engaged in a learning environment where understanding and knowledge transfer take place. This study introduces Mathematics Created by You (MCY)-mentoring program, which allows students to construct artefacts that are required to learn. This program is online-based and so can be shared by several people and mathematics leaning takes place through interactions within this carefully designed environment. Also, MCY intends to provide students a series of sequential activities related to creative play, creative learning and creative inquiry based on a Constructive and interactive environment. Furthermore, a creative activity- constructing a creative product using building blocks- was presented as an example. Finally, we investigate the pedagogical implications and suggest directions for the further development.

수학 영재교육의 최근 동향에 대한 분석 - APCR 8, ERIC, ICME 10, ICCME&EGS'03을 중심으로 -

  • Lee, Gang-Seop;Hwang, Dong-Ju
    • Communications of Mathematical Education
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    • v.18 no.3 s.20
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    • pp.199-208
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    • 2004
  • 본 연구는 2004년은 한국에서 개최된 APCG 8(The 8th Asia-Pacific Conference on Giftedness, 2004)을 통하여 일반 영재교육의 최근 동향을 탐색하였다. 1980에서 2002년까지의 ERIC(Education Research Information Center)에 나타난 수학영재관련 문헌을 검색하여 644개를 선정 분석하여 그 연구 동향을 파악하고, 2003년에서 2004년까지는 ICME 10(the 10th International Congress on Mathematical Education, 2004)과 ICCME&EGS'03 (The Third International Conference Creativity in Mathematics Education and the Education of Gifted Students, 2003)을 통하여 수학영재교육의 최근 연구 동향을 분석하여 수학영재교육 발전과 활성화에 도움을 주는데 목적을 두고 있다.

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A Mathematical Model for Balanced Team Formation in Capstone Design Class (설계 수업에서 균형적인 팀 편성을 위한 수리적 모형)

  • Kim, Jong-hwan
    • Journal of Engineering Education Research
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    • v.21 no.4
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    • pp.28-34
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    • 2018
  • Design class through team activities is increasing in engineering education. Team-based education has been known to improve students' creativity, problem solving ability, cooperative ability, self-directed learning ability, and communication ability. How to organize a team is an important issue that affects the performance of team activities as well as student satisfaction. However, previous studies have focused on the causal relationship between team formation and the team's performance. This paper deals with how to organize a balanced team in a real class. When the basic characteristic values of students are givens, the aim is to make the sum of the characteristic values as fair as possible for each team. We propose a mathematical team formation model and show how to apply it through case studies.

A Comparative Study on the Internal System of Elementary Mathematics Textbook Composition in Korea and Japan (한국과 일본의 초등수학 교과서 구성의 내적 체제 비교)

  • Kim, Pan Soo;Lee, Young Ju
    • East Asian mathematical journal
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    • v.38 no.4
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    • pp.439-461
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    • 2022
  • Since 2022, textbooks in elementary school mathematics have been converted from national textbook system to authorization system, but it is pointed out that the composition of these new textbooks is almost the same as the existing national textbooks and the advantages of the authorization system cannot be utilized. Therefore a need has been raised to find out the composition of foreign textbooks. In order to compare the internal system of elementary mathematics textbook composition in Korea and Japan, Wakuwaku Sansu, one of Japan's elementary mathematical textbooks was analyzed and compared with Korean textbooks. As a result of the analysis, it was found that Japanese textbooks have more flexibility in the composition of the unit, the number of hours of the unit, the introduction of special lessons, and emphasis. This analysis will promote the diversity and creativity of the composition of elementary mathematics textbooks in Korea, providing implications for more efficient textbook compilation.

An Analysis on the pattern of questioning sentence - A case study for the newly appointed teachers - (수학 수업 발문유형 분석 및 대안 탐색 - 신임 교사 사례 연구 -)

  • Kang, Wan;Chang, Yun-Young;Jeong, Seon-Hye
    • Education of Primary School Mathematics
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    • v.14 no.3
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    • pp.293-302
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    • 2011
  • The objective of this study is to search the recognition of teacher on the pattern and characteristics of the questioning sentence of the newly appointed teachers for the mathematics class through the case study for the 2ndyear teachers. The study participants' class was recorded in video and individual interview was made for 4 times. The pattern of the questioning sentence in the observed class was analyzed using the classification frame with addition of creativity related items to the classification frame suggested by Mogan & Saxton(2006). The questioning sentence and recognition on the mathematics class for the newly appointed teachers were analyzed based on the individual meeting and class materials. In result, the questioning sentence for confirmation was most frequent (69%) and questioning sentence of understanding (25%) and the questioning sentence for introspection (6%) in its priority. It was known that the questioning sentence for extending the creativity didn't make it at all. It was revealed that the participant teachers in this study used the questioning sentence pattern for fact confirmation of the student most frequently and the use of the questioning sentence for accelerating the creative thinking of the student was lacked. In addition, the teachers recognized that they manage the class oriented to questioning sentence for obtaining the concept. It was known that the education for the questioning sentence which accelerates the creativity and other thinking as well as the fact confirmation pattern is necessary through the training for the new teachers in the future.