• Title/Summary/Keyword: Van Hiele Levels of Development in Geometry

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Analysis of LEGO Mindstorm Activity Levels Based on the Van Hiele Levels of Development in Geometry (Van Hiele 기하 학습 수준 이론에 따른 LEGO 마인드스톰 활동 수준 분석)

  • Rim, Haemee;Choi, Inseo
    • Journal of the Korean School Mathematics Society
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    • v.22 no.3
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    • pp.257-275
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    • 2019
  • Technology-based convergence education is being emphasized for students in the era of the fourth industrial revolution. In math education, students need to increase their capabilities in the future by having them experience mathematical problems using robots and sensors, a key technology in the era of the fourth industrial revolution. To this end, it is necessary to present educational uses for educational robots in relation to math and curriculum from a 'mathematics education perspective' and analyze its educational use in relation to the mathematics and curriculum, considering the role of mathematics at the base of the process of exploring real-world phenomena and solving problems. Based on the analysis of Van Hiele levels of development in geometry and the LOGO activity level of Olson et al.(1987), this study analyzed and presented the level of LEGO Mindstorm activity, a representative educational Robot capable of collecting and analyzing data and programming in the form of block language, in the first to fourth level.

The Activites Based on Van Hiele Model Using Computer as a Tool

  • Park, Koh;Sang, Sook
    • Research in Mathematical Education
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    • v.4 no.2
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    • pp.63-77
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    • 2000
  • The purpose of this article is to devise the activities based on van Hiele levels of geometric thought using computer software, Geometer\\\\`s Sketchpad(GSP) as a tool. The most challenging task facing teachers of geometry is the development of student facility for understanding geometric concepts and properties. The National Council of teachers of Mathematics(Curriculum and Evaluation Standards for School Mathematics, 1991; Principles and Standards for School Mathematics, 2000) and the National Re-search Council(Hill, Griffiths, Bucy, et al., Everybody Counts, 1989) have supported the development of exploring and conjecturing ability for helping students to have mathematical power. The examples of the activities built is GSP for students ar designed to illustrate the ways in which van Hiele\\\\`s model can be implemented into classroom practice.

Development and Application of Learning Materials for Freudenthal's Mathematising Activities in the Middle School Geometry (중등기하에서 Freudenthal의 수학화 활동을 위한 학습자료 개발과 적용)

  • Choi, Jong-Chul;Kim, Hong-Chul
    • Journal of the Korean School Mathematics Society
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    • v.11 no.1
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    • pp.69-96
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    • 2008
  • The purpose of this paper is to perceive the problems of current geometry education in the middle school mathematics, to develop some learning materials fitted for the mathematising activities based on Freudenthal's learning theories and to analyze the mathematising process followed by teaching-learning activities. For this purpose, we design activity-oriented learning materials for geometry based on Freudenthal's learning theories, and appropriate teaching-learning models are established for the middle school geometry at the 8-NA stage level according to the theory of van Hiele's geometry learning steps. After applied to the practical lessons, the effects of mathematical activities are analyzed.

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