• Title/Summary/Keyword: mathematical creativity education

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Senior Secondary School Students' Epistemological Conceptions of Mathematics in China: Characteristics and Development Process

  • Yang, Xinrong
    • Research in Mathematical Education
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    • v.17 no.2
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    • pp.79-97
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    • 2013
  • This paper reports findings from a survey of senior secondary school students' epistemological conceptions of mathematics with the adaption of the instrument of the "Conceptions of Mathematics" - Inventory in China. The survey included a sample of 414 Grade 10 students, 441 Grade 11 students, and 400 Grade 12 students from three provinces. Descriptive statistics, one-way ANOVA, and T-test were employed to analyze data in this study. It was found that senior secondary school students mainly focused on objectivity and reality of mathematics, without highlighting the characteristics of sociality, subjectivity, and creativity of mathematics. In addition, besides gender differences, differences were identified among students from different grades, different areas, taught by teachers with different teaching experience and experience in using reformed curriculum.

Mathematics Teacher's Perspective on Good Teaching and Teacher Professional Development - Difference in school level and career - (좋은 수학수업과 교사 전문성 개발에 대한 현직수학교사 인식 조사 - 학교급 및 교육경력에 따른 차이 조사 -)

  • Kang, Hyun-Young;Lee, Dong-Hwan;Ko, Eun-Sung
    • The Mathematical Education
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    • v.51 no.2
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    • pp.173-189
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    • 2012
  • This study investigated elementary and secondary mathematics teachers' views on: (1) Requirements for good mathematics teaching (2) what professional development programs and supports are needed for these requirements. In particular, this study analyzed the common and difference between school levels and teaching experiences. For it, we developed questionnaire and the questionnaire was anonymously answered by one-hundred-five elementary and secondary mathematics teachers. We suggested implications related to professional development programs for mathematics teachers based on common and difference between school levels and teaching experiences.

Abacus Numerals for Rapid and Sufficient Mathematics Learning for Enhancing Creativity

  • Hayakawa Yoshinori
    • Research in Mathematical Education
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    • v.9 no.3 s.23
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    • pp.243-256
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    • 2005
  • Abacus numerals were developed using the concept of the binary system to form decimal numerals. This would allow addition, subtraction, multiplication, and division to be performed based solely on the knowledge of the 14 forms of the numerals and three simple rules. These numerals were taught to 260 elementary school pupils of 3rd and 4th grade. After 90 minutes of instruction, they, nearly all, were able to understand principles to add, and to subtract, and partly to multiply using Abacus Numerals. Protected Abacus Numerals are proposed against forgery. An International Numeration System is proposed based on the form of Abacus Numerals to facilitate international communication. A new type of abacus is proposed.

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A mathematics teacher's discursive competence on the basis of mathematical competencies (수학교과역량과 수학교사의 담론적 역량)

  • Choi, Sang-Ho;Kim, Dong-Joong
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.377-394
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    • 2019
  • The purpose of this study is to scrutinize the characteristics of a teacher's discursive competence on the basis of mathematical competencies. For this purpose, we observed all semester-long classes of a middle school teacher, who changed her own teaching methods for the last 20 years, collected video clips on them, and analyzed classroom discourse. Data analysis shows that in problem solving competency, she helped students focus on mathematically important components for problem understanding, and in reasoning competency, there was a discursive competence which articulated thinking processes for understanding the needs of mathematical justification. And in creativity and confluence competency, there was a discursive competence which developed class discussions by sharing peers' problem solving methods and encouraging students to apply alternative problem solving methods, whereas in communication competency, there was a discursive competency which explored mathematical relationships through the need for multiple mathematical representations and discussions about their differences. These results can provide concrete directions to developing curricula for future teacher education by suggesting ideas about how to combine practices with PCK needed for mathematics teaching.

The effects of S-STEAM program on creativity and multiple intelligences of young children (과학 중심 융합인재교육(S-STEAM) 프로그램이 유아의 창의성 및 다중지능에 미치는 영향)

  • Song, Min-Seo;Kim, Hyoung-Jai
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.17 no.4
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    • pp.361-372
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    • 2016
  • The purpose of this study was to develop a STEAM-based science education program for children and to verify its effectiveness. An S-STEAM-based science education program for young children was developed through careful analysis of prior research on science education for young children and S-STEAM. The participants were 29 four-year-old children from daycare centers located in Seoul (an experimental group of 14 and comparative group of 15). The S-STEAM program was applied to the experimental group, while the control group went through a general science education course provided by the government. TTCT of Creative Thinking (TTCT: Figures A and B) was used as a research tool, and a multiple intelligence test tool was applied to teachers of the groups. Afterwards, analysis of covariance was implemented to find the S-STEAM program's effects. First, the results showed positive effects on overall creativity, as well as in fluency, originality, abstractness, elaboration, and openness components of creativity. Second, the results showed positive effects on overall multiple intelligences and its components of linguistic, musical, spatial, logical/mathematical, physical exercise, interpersonal, and naturalist intelligence.

On a Web-Based Home Study in the Regular Lessons of Mathematics Education (정규수업과 연계된 수학과의 웹 기반 가정학습에 대한 연구)

  • 류시규;김재욱
    • The Mathematical Education
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    • v.41 no.1
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    • pp.59-78
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    • 2002
  • In a globalization and information society in the 21st century, the emphasis of education is on producing people who can create intellectual value. To meet the purpose in mathematics education, students should be taught to be able to understand basic logics and principles and exchange mathematical information each other. Also they had better be guided to study on their own at home in an effective way. In reality, however, most of the home study does not go beyond confirming the same homework. It is very difficult for students to plan systematic preparation and review of their lessons and study on their own. Moreover there seems to be no integration between the lessons students receive at school and in private classes. Therefore the need for more systematic home study in relation to school lessons is high to maximize the teaming effect. Studying through Web has little restriction in terms of time and space. Students can collect useful information inexpensively and share their learning assignment with each other. But mathematics education through Web has not yet been developed in such a way as to see a positive result from it. This research intends to develop a web site where students can study mathematics systematically in a self-guided way. The research methods applied included survey, student discussion and online home study. The questionnaires were designed to figure out students'and parents'changes in their concept of mathematics home study. The research also tried to look for ways to cut down the burden of expensive private lessons in mathematics. The student discussions were made up of problem-making and problem-solving. The discussion procedure was analysed so as to check if students used their creativity while they were working. As stated above, the research aims to develop a web site to support effective home study, enhance students' mathematical ability and reduce the burden of private lessons.

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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.

The Influence of using On-Line Learning for improving of Mathematical creativity in elementary school's children (온라인(On-Line)학습이 아동의 수학적 창의력 신장에 미치는 영향 - 초등학교 4학년을 중심으로)

  • Hong, Yong-Rak;Go, Dae-Gon
    • 한국정보교육학회:학술대회논문집
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    • 2007.08a
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    • pp.123-128
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    • 2007
  • 지식의 양이 기하급수적으로 늘어나고 지식의 창의적인 활용이 세상을 지배하는 지식기반사회에 사는 현대의 아동들에게 무엇보다 중요한 창의력이 오히려 급격히 감소하는 경향을 보이는 이 때, 온라인 학습을 통해 아동들의 수학적 창의력을 신장할 수 있다고 생각하며 수학적 창의력의 요소중 다양한 관점으로 문제를 해결하는 능력을 신장시키기 위해 수학적 능력을 측정할 수 있는 평가도구 프로그램과 측정도구를 이용하여 실시하여 수학적 창의력이 신장됨을 알았다. 그 결과 온라인 학습은 수학적 창의력 신장에 도움을 준다고 할 수 있다.

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Development and Implementation of STEAM Program based on Programming using Kodu (Kodu를 이용한 프로그래밍 중심 STEAM 교육 프로그램 개발 및 적용)

  • Kim, Tae-Hun;Yang, Young-Hoon;Kim, Jong-Hoon
    • Journal of Fisheries and Marine Sciences Education
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    • v.25 no.5
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    • pp.1020-1030
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    • 2013
  • The purpose of this study was to develop the STEAM educational program based on the computer programming. STEAM education has been recently attracted to a lot of people. We had a focus of computer science in STEM fields. We used the programming language f or learning KODU. We selected appropriate topics for STEAM education and learning programming. We developed the educational program of 30 hours about selected topics and had classes for 4th and 5th grade elementary students. In order to verify the effectiveness of the educational program, we analyzed the results of pre- and posttest about GALT(Group Assessment of Logical Thinking), TTCT(Torrance Tests of Creative Thinking), science-related affective domain, and mathematical interests and attitudes tests. In the analysis results, the education program we developed had positive impacts on creativity, logical thinking, and science-related affective domain of elementary school students.

The Effects of Inquiry Oriented Instruction on the Learning of A rea Formulas (수학적 탐구학습이 넓이공식의 학습에 미치는 효과)

  • Park, Sung-Sun
    • Education of Primary School Mathematics
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    • v.14 no.1
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    • pp.43-55
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    • 2011
  • The purpose of this study was to investigate the effects of inquiry oriented instruction on the learning of area formulas. For this purpose, current elementary mathematics textbook(2007 revised version) which deal with area formulas was reviewed and then the experimental research on inquiry oriented instruction in area formulas was conducted. The results of this study as follow; First, there was no significant effect of inquiry oriented instruction on the mathematical achievement in area formula problems. Second, there was no significant effect on the memorization of area formulas. Third, there was significant effect on the generalization of area formulas. Forth, there was significant effect on the methods of generalization of area formulas. Fifth, through inquiry activities, the students can learn mathematical ideas and develop creative mathematical ideas. Finally, implications for teaching area formulas through inquiry activity was discussed. We have to introduce new area formula through prior area formulas which had been studied, and make the students inquire the connection between each area formulas.