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Dynamic Geometry Technology in High School Classrooms

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Book cover Digital Enterprise and Information Systems (DEIS 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 194))

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Abstract

This article describes the theoretical foundations and key elements of the dynamic geometry approach – an approach to high school geometry that utilizes dynamic geometry software and supporting instructional materials to help students construct mathematical ideas through active explorations and investigations. Due to its benefits to students’ learning, this instructional approach should be implemented in as many classrooms as possible. The focus of the article is hence on how this approach will be operationalized in the classrooms.

This material is based upon work supported by the National Science Foundation under Grant No. 0918744. Any opinions, findings and conclusions or recommendations expressed in this material are those of the author and do not necessarily reflect the views of the National Science Foundation.

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References

  1. Clements, D.H., Michael, T.B.: Constructivist Learning and Teaching. Arithmetic Teacher 38, 34–35 (1990)

    Google Scholar 

  2. Choi-koh, S.S.: A Student’s Learning of Geometry Using the Computer. The Journal of Educational Research 92, 301–311 (1999)

    Article  Google Scholar 

  3. de Villiers, M.: An Alternative Approach to Proof in Dynamic Geometry. In: Lehrer, R., Chazan, D. (eds.) Designing Learning Environments for Developing Understanding of Geometry and Space, pp. 369–394. Lawrence Erlbaum Associates, Hillsdale (1998)

    Google Scholar 

  4. Fuys, D., Geddes, D., Tischler, R.: The van Hiele Model of Thinking in Geometry among Adolescents. Journal for Research in Mathematics Education. Monograph 3 (1988)

    Google Scholar 

  5. Goldenberg, E.P., Albert, A.C.: What is Dynamic Geometry? In: Lehrer, R., Chazan, D. (eds.) Designing Learning Environments for Developing Understanding of Geometry and Space, pp. 351–368. Lawrence Erlbaum Associates, Hillsdale (1998)

    Google Scholar 

  6. Hoffer, A.R.: Geometry is More Than Proof. Mathematics Teacher 74, 11–18 (1981)

    Google Scholar 

  7. Hollebrands, K.: The Role of a Dynamic Software Program for Geometry in the Strategies High School Mathematics Students Employ. Journal for Research in Mathematics Education 38(2), 164–192 (2007)

    Google Scholar 

  8. Jackiw, N.: Geometer’s Sketchpad, Version 5. Key Curriculum Press, Berkeley (2009)

    Google Scholar 

  9. Laborde, C.: Solving Problems in Computer Based. Geometry Environments: The Influence of the Features of the Software. ZDM 4, 128–135 (1992)

    Google Scholar 

  10. Myers, R.: The Effects of the Use of Technology in Mathematics Instruction on Student Achievement. FIU Electronic Theses and Dissertations (2009)

    Google Scholar 

  11. National Council of Teachers of Mathematics: Principles and Standards for School Mathematics. NCTM, Reston (2000)

    Google Scholar 

  12. Olive, J.: Opportunities to Explore and Integrate Mathematics with the Geometer’s Sketchpad. In: Lehrer, R., Chazan, D. (eds.) Designing Learning Environments for Developing Understanding of Geometry and Space, pp. 395–418. Lawrence Erlbaum Associates, Hillsdale (1998)

    Google Scholar 

  13. Sinclair, N., Healy, L., Sales, C.: Time for Telling Stories: Narrative Thinking with Dynamic Geometry. ZDM 41(4), 441–452 (2009)

    Article  Google Scholar 

  14. van Hiele, P.M.: Structure and Insight. Academic Press, Orlando (1986)

    Google Scholar 

  15. Vincent, J.: Interactive Geometry Software and Mechanical Linkages: Scaffolding Students’ Deductive Reasoning. In: Masalski, W.J. (ed.) Technology-Supported Mathematics Learning Environment, pp. 93–112. NCTM, Reston (2005)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Texas State University, San Marcos, TX, 78666, United States

    Zhonghong Jiang

Authors
  1. Zhonghong Jiang
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Editor information

Editors and Affiliations

  1. London Metropolitan Business School, London Metropolitan Business University, Eden grove - EG4.06, N7 8EA, London, UK

    Ezendu Ariwa

  2. Information Systems Department, King Saud University, 11543, Riyadh, Saudi Arabia

    Eyas El-Qawasmeh

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© 2011 Springer-Verlag Berlin Heidelberg

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Jiang, Z. (2011). Dynamic Geometry Technology in High School Classrooms. In: Ariwa, E., El-Qawasmeh, E. (eds) Digital Enterprise and Information Systems. DEIS 2011. Communications in Computer and Information Science, vol 194. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22603-8_47

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  • DOI: https://doi.org/10.1007/978-3-642-22603-8_47

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22602-1

  • Online ISBN: 978-3-642-22603-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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