• Title/Summary/Keyword: Van-Hiele's theory

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A Development and Applications of Problem Solving Tool for Learning Geometry (기하 학습을 위한 문제해결 도구 개발 및 적용)

  • Bae, Jin-Seong;Kim, Kap-Su
    • Journal of The Korean Association of Information Education
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    • v.14 no.3
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    • pp.449-459
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    • 2010
  • Using a geometric computer program achieve learning effects as handling various function and has advantage to overcome the environment of classroom through providing an inquiring surroundings in the figure learning at an elementary school. There are many software for drawing the geometric. But currently most is focus on how to use the softwares without contents. So, It is necessary to develope a geometric software adapted cognitive development of primary schoolchildren. This study is aim to analyze elementary mathematic curriculum based on Van Heiles theory, to develope the software(Geometry for Kids : GeoKids) considering cognitive level of the primary schoolchildren. This software is developed to substitute a ruler and a compass considering cognitive level of the primary schoolchildren. Using mouse, GeoKids software help a child to draw easily lines and circles and this software notice another lines and circle automatically for a more accurate drawing figures. Children can use practically this software in connection with subjects of elementary mathematic curriculum.

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Analysis of Students' Mathematical Thinking Characteristics Appeared in the Process of Searching for All type of Triangle that Can be Made with Sphinx Puzzle (스핑크스퍼즐로 모든 삼각형 해법 찾기 과제에서 나타나는 학생들의 수학적 사고 특성 분석)

  • Bang, Sin Young;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.1
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    • pp.165-184
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    • 2013
  • In order to utilize Sphinx Puzzle in shape education or deductive reasoning, a lesson employing Dienes' six-stage theory of learning mathematics was structured to be applied to students of 6th grade of elementary school. 4 students of 6th grade of elementary school, the researcher's current workplace, were selected as subjects. The academic achievement level of 4 subjects range across top to medium, who are generally enthusiastic and hardworking in learning activities. During the 3 lessons, the researcher played role as the guide and observer, recorded observation, collected activity sheet written by subjects, presentation materials, essays on the experience, interview data, and analyzed them to the detail. A task of finding every possible triangle out of pieces of Sphinx Puzzle was given, and until 6 steps of formalization was set, students' attitude to find a better way of mathematical deduction, especially that of operational thinking and deductive thinking, was carefully observed and analyzed.

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