• Title/Summary/Keyword: quadrilaterals

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Another discovery in the technology-based classroom : Joy's Similar Quadrilaterals (테크놀로지 환경에서의 수학적 발견 탐구학습 : Joy의 닮은 사격형)

  • Jung, In-Chul
    • Journal of the Korean School Mathematics Society
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    • v.8 no.3
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    • pp.411-422
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    • 2005
  • Along with the continual debate relating to the use of technology, especially since LOGO in 1980, technology has always been the issue to the society of mathematics education about what is the role of technology in teaching and learning, how it can facilitate for the better understanding of learners, especially what we can do more with it comparing to the traditional teaching and learning environments. Here I propose a way of using technology[GSP] for creative exploration, which makes it possible to extend our knowledge that leads to new discovery.

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A Study on the Word 'is' in a Sentence "A Parallelogram is Trapezoid." ("평행사변형은 사다리꼴이다."에서 '이다'에 대한 고찰)

  • Yi, Gyuhee;Choi, Younggi
    • School Mathematics
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    • v.18 no.3
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    • pp.527-539
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    • 2016
  • A word 'is' in "A parallelogram is trapezoid." is ambiguous and very rich when it comes to its meaning. In this paper, 'is' as in everyday language will be identified as semantic primes that can be interpreted in different ways depending on context and situation, and meanings of 'is' in mathematics will be discussed separately. Focusing on 'identity', 'is' will be reinterpreted in the view of equivalence relation and van Hieles' work. 'Is', as a mathematical sign, is thought to have a significant importance in producing mathematical ideas meaningfully.

The Use of the Geometer's Sketchpad in Eighth-Grade Students' Quadrilateral Learning (The Geometer's Sketchpad를 활용한 8학년 학생들의 사각형 학습)

  • Han, Hye-Sook
    • Journal of the Korean School Mathematics Society
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    • v.11 no.3
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    • pp.513-541
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    • 2008
  • The purposes of the study were to investigate whether the use of the Geometer's Sketchpad(GSP) is more effective than the use of traditional tools such as ruler and protractor to enhance eighth- grade students' understanding of quadrilaterals and geometric reasoning ability and to examine how the use of the software affects on the development of students' understanding and reasoning ability. According to the results of the posttest, there was a significant difference in student achievement between students using GSP and students using ruler and protractor. Students using GSP significantly outperformed students using ruler and protractor on the posttest. Student interview data showed that the use of the GSP was more effective in developing students' geometric reasoning ability. Students using GSP achieved higher degrees of acquisition for van Hiele level 2 and 3 than students using ruler and protractor. Dynamic visual representations and hands-on experiences provided in GSP learning environment helped students approach quadrilateral concepts more conceptually and realize their pre-existing conceptual errors and re-conceptualize their mathematical ideas.

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