Research Article
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Year 2015, Volume: 6 Issue: 1, 18 - 30, 07.04.2015
https://doi.org/10.16949/turcomat.78085

Abstract

References

  • Hitt Espinosa, F. (1997). Researching a Problem of Convergence with Mathematica: History and Visualisation of a Mathematical Idea. International Journal of Mathematical Education in Science and Technology, 28(5), 697 – 706.
  • Manizade, A., & Mason, M. (2012). A chalenge for all: Developing the area of a trapezoid, Proceedings of 12th International Congress on Mathematical Education (pp. 2289-2297). Seoul, Korea.
  • Somayajulu, R. (2012). Investigating pre-service teachers' mathematical knowledge for teaching geometry at secondary level, Proceedings of 12th International Congress on Mathematical Education, Seoul, Korea, 2311 – 2318.
  • Wanko, J. J. (2010). Tapping into Trapezoids, Mathematics Teacher, 99(3), 190 – 195.
  • Young, E. (2010). Trapezoids to Triangles, Mathematics Teaching in the Middle School, 15(7), 414 – 417.
  • Zimmerman, W., & Cunningham, S. (1991). Editors introduction: What is mathematical visualisation? In W. Zimmennan and S. Cunningham (Eds.) Visualisation in Teaching and Learning Mathematics, MAA Notes and Reports Series 19 (pp. 1-7). The Mathematical Association of America: Washington, DC.

One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge

Year 2015, Volume: 6 Issue: 1, 18 - 30, 07.04.2015
https://doi.org/10.16949/turcomat.78085

Abstract

A wide range of mathematical ideas could be used to develop and justify a formula for calculating the area of trapezoid. Those ideas lead to different strategies for finding out area of trapezoid that we classify in three groups: decomposing, enclosing and transforming strategies. Those strategies should be part of mathematics content knowledge for teaching. In this study we trace a change in structure of mathematics content knowledge of nine pre-service mathematics teachers as a result of using GeoGebra applets that visualize different approaches in finding out the area of trapezoid. We argue that engaging pre-service mathematics teachers to develop and justify formula for calculating the area of trapezoid using GeoGebra applets is a worth task that enhances pre-service mathematics teachers’ content knowledge for teaching. Our experiment confirmed that the use of Geogebra encourage pre-service mathematics teachers to uncover new ideas that lead them towards clearer justifications and easier way of proving formula for area of trapezoid.

Keywords: Area of trapezoid, GeoGebra, content knowledge for teaching

References

  • Hitt Espinosa, F. (1997). Researching a Problem of Convergence with Mathematica: History and Visualisation of a Mathematical Idea. International Journal of Mathematical Education in Science and Technology, 28(5), 697 – 706.
  • Manizade, A., & Mason, M. (2012). A chalenge for all: Developing the area of a trapezoid, Proceedings of 12th International Congress on Mathematical Education (pp. 2289-2297). Seoul, Korea.
  • Somayajulu, R. (2012). Investigating pre-service teachers' mathematical knowledge for teaching geometry at secondary level, Proceedings of 12th International Congress on Mathematical Education, Seoul, Korea, 2311 – 2318.
  • Wanko, J. J. (2010). Tapping into Trapezoids, Mathematics Teacher, 99(3), 190 – 195.
  • Young, E. (2010). Trapezoids to Triangles, Mathematics Teaching in the Middle School, 15(7), 414 – 417.
  • Zimmerman, W., & Cunningham, S. (1991). Editors introduction: What is mathematical visualisation? In W. Zimmennan and S. Cunningham (Eds.) Visualisation in Teaching and Learning Mathematics, MAA Notes and Reports Series 19 (pp. 1-7). The Mathematical Association of America: Washington, DC.
There are 6 citations in total.

Details

Primary Language English
Subjects Other Fields of Education
Journal Section Research Articles
Authors

Karmelita Pjanic

Edin Liđan

Publication Date April 7, 2015
Published in Issue Year 2015 Volume: 6 Issue: 1

Cite

APA Pjanic, K., & Liđan, E. (2015). One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 6(1), 18-30. https://doi.org/10.16949/turcomat.78085
AMA Pjanic K, Liđan E. One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education (TURCOMAT). April 2015;6(1):18-30. doi:10.16949/turcomat.78085
Chicago Pjanic, Karmelita, and Edin Liđan. “One Usage of Geogebra in Enhancing Pre-Service Mathematics Teachers’ Content Knowledge”. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6, no. 1 (April 2015): 18-30. https://doi.org/10.16949/turcomat.78085.
EndNote Pjanic K, Liđan E (April 1, 2015) One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6 1 18–30.
IEEE K. Pjanic and E. Liđan, “One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge”, Turkish Journal of Computer and Mathematics Education (TURCOMAT), vol. 6, no. 1, pp. 18–30, 2015, doi: 10.16949/turcomat.78085.
ISNAD Pjanic, Karmelita - Liđan, Edin. “One Usage of Geogebra in Enhancing Pre-Service Mathematics Teachers’ Content Knowledge”. Turkish Journal of Computer and Mathematics Education (TURCOMAT) 6/1 (April 2015), 18-30. https://doi.org/10.16949/turcomat.78085.
JAMA Pjanic K, Liđan E. One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2015;6:18–30.
MLA Pjanic, Karmelita and Edin Liđan. “One Usage of Geogebra in Enhancing Pre-Service Mathematics Teachers’ Content Knowledge”. Turkish Journal of Computer and Mathematics Education (TURCOMAT), vol. 6, no. 1, 2015, pp. 18-30, doi:10.16949/turcomat.78085.
Vancouver Pjanic K, Liđan E. One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education (TURCOMAT). 2015;6(1):18-30.

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