# Enhancing Estimation Skills with GeoGebra - Volume Ratios of Essential Solids

### Libuše Samková

#### Abstract

The first part of this article reports the results of a survey focusing on estimation skills relating to the concept of volume. The survey tested pre-service and in-service math teachers of various nationalities and various school types, and investigated their skills in estimating volume ratios of essential solids (a cylinder, a ball, and a cone). The second part of the article analyzes the mathematical background of cone and ball cases. The third part of the article shows the possibilities of GeoGebra software in creating test materials for similar surveys, and --- in accordance with the results of the survey --- presents dynamic models designed to enhance estimation skills in volume ratios. The text gives detailed instruction on how to create such kind of GeoGebra materials.

#### References

- GeoGebra 4 available at http://www.geogebra.org, (retrieved Nov 5, 2012).
- Levine, D. R. (1982). Strategy use and estimation ability of college students. Journal for Research in Mathematics Education, 13, 350-359.
- Montague, M. and van Garderen, D. (2003). A CrossSectional Study of Mathematics Achievement, Estimation Skills, and Academic Self-Perception in Students of Varying Ability. Journal of Learning Disabilities, 36(5), 437-448.
- National Center for Educational Statistics (1999). Estimation Skills, Mathematics-in-Context, and Advanced Skills in Mathematics. NCES 2000-451, Washington, DC.
- Samkova, L. (2012). Jak velká je tr?etina koule? [In Czech: How big is one third of a ball?] South Bohemia Mathematical Letters, 20(1). (to appear)
- Schoen, H. and Zweng, M. (1986). Estimation and mental calculations: The 1986 Yearbook of the NCTM. VA: National Council of Teachers of Mathematics, Reston.

#### Paper Citation

#### in Harvard Style

Samková L. (2013). **Enhancing Estimation Skills with GeoGebra - Volume Ratios of Essential Solids** . In *Proceedings of the 5th International Conference on Computer Supported Education - Volume 1: CSEDU,* ISBN 978-989-8565-53-2, pages 89-94. DOI: 10.5220/0004382100890094

#### in Bibtex Style

@conference{csedu13,

author={Libuše Samková},

title={Enhancing Estimation Skills with GeoGebra - Volume Ratios of Essential Solids},

booktitle={Proceedings of the 5th International Conference on Computer Supported Education - Volume 1: CSEDU,},

year={2013},

pages={89-94},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0004382100890094},

isbn={978-989-8565-53-2},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 5th International Conference on Computer Supported Education - Volume 1: CSEDU,

TI - Enhancing Estimation Skills with GeoGebra - Volume Ratios of Essential Solids

SN - 978-989-8565-53-2

AU - Samková L.

PY - 2013

SP - 89

EP - 94

DO - 10.5220/0004382100890094