Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education

Yismaw Abera Wassie; Gurju Awgichew Zergaw

doi:10.29333/ejmste/108436

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Yismaw Abera Wassie ¹ ^* , Gurju Awgichew Zergaw ¹

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¹ Department of Mathematics, College of Science, Bahir Dar University, Bahir Dar, ETHIOPIA^* Corresponding Author

Abstract

In the modern era where technology usage is a tradition of the generation, integrating the teaching and learning with mediums that could catch up and satisfy pupils’ interest is noteworthy. In line with this, the contributions of GeoGebra in the teaching-learning of mathematics: as a tool to foster students’ interest and achievement, and as an environment to flourish different learning styles are explored in this study. Besides, the cautions to consider before implementing a GeoGebra integrated lesson with the challenges, limitations and areas of future development are indicated. Among these: the belief and technology fluency of users and the student class ratio are found to be among the challenges for effective integration of GeoGebra in mathematics lessons. The difficulty of some commands in the input bar especially for students and teachers with no prior programming experience are considered among the limitations of GeoGebra.

Keywords

GeoGebra
mathematics education
teaching resources
technology integration

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Article Type: Research Article

EURASIA J Math Sci Tech Ed, Volume 15, Issue 8, August 2019, Article No: em1734

https://doi.org/10.29333/ejmste/108436

Publication date: 11 Apr 2019

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References

Abramovich, S. (2013). Computers in Mathematics Education: An Introduction. Computers in the Schools, 30(1–2), 4–11. http://doi.org/10.1080/07380569.2013.765305.
Acuña, A. M. (2014). Polya and GeoGebra : A dynamic approach to problem solving . In A. Bilsel (Ed.), Proceedings of the Frontiers in Mathematics and Science Education Research Conference (pp. 231–235). Famagusta, North Cyprus: European Journal of Science and Mathematics Education (EJSME).
Ahmad, A., Yin, T. S., Fang, L. Y., Yen, Y. H., & How, K. W. (2010). Incorporating multimedia as a tool into mathematics education: A case study on diploma students in multimedia university. In Procedia - Social and Behavioral Sciences, 8, 594–599. Elsevier. http://doi.org/10.1016/j.sbspro.2010.12.082.
Akanmu, I. A. (2016). GeoGebra: The third millennium package for mathematics instruction in Nigeria. Annals. Computer Science Series, 14, 35–43. Retrieved from http://anale-informatica.tibiscus.ro/download/lucrari/.
14-1-05-Akanmu.pdf.
Akcay, A. O. (2017). Instructional Technologies and Pre-Service Mathematics Teachers’ Selection of Technology. Journal of Education and Practice, 8(7), 163–173. Retrieved from http://files.eric.ed.gov/fulltext/EJ1137598.
pdf.
Akkaya, A., Tatar, E., & Kaǧizmanli, T. B. (2011). Using dynamic software in teaching of the symmetry in analytic geometry: The case of GeoGebra. In G. Akçamete, H. Uzunboylu, S. Ö ülmü, A. Karahoca, C. Babado an, F. Özdaml, & S. Kanbul (Eds.), 3rd World Conference on Educational Sciences, 15, 2540–2544. Istanbul, Turkey: Elsevier Ltd. http://doi.org/10.1016/j.sbspro.2011.04.141.
Aktumen, M., & Bulut, M. (2013). Teacher candidates’ opinions on real life problems designed in GeoGebra software. Anthropologist, 16(1–2), 167–176. https://doi.org/10.1080/09720073.2013.11891345.
Albaladejo, I. M. R., García, M. D. M., & Codina, A. (2015). Developing Mathematical Competencies in Secondary Students by Introducing Dynamic Geometry Systems in the Classroom. TED EĞİTİM VE BİLİM, 40(177), 43–58. http://doi.org/10.15390/EB.2015.2640.
Anabousy, A., Daher, W., Baya’a, N., & Abu-Naja, M. (2014). Conceiving function transformations in different representations: Middle school students working with technology. International Electronic Journal of Mathematics Education, 9(1–2), 99–114.
Arbain, N., & Shukor, N. A. (2015). The Effects of GeoGebra on Students Achievement. Procedia - Social and Behavioral Sciences, 172, 208–214. http://doi.org/10.1016/j.sbspro.2015.01.356.
Bhagat, K. K., & Chang, C. Y. (2015). Incorporating GeoGebra into Geometry learning-A lesson from India. EURASIA Journal of Mathematics, Science & Technology Education, 12(8), 77–86. http://doi.org/10.12973/.
eurasia.2015.1307a.
Bray, A., & Tangney, B. (2017). Technology usage in mathematics education research – A systematic review of recent trends. Computers and Education, 114, 255–273. http://doi.org/10.1016/j.compedu.2017.07.004.
Breda, A. M. D. A., & Santos, J. M. D. S. Dos. (2016). Complex functions with GeoGebra. Teaching Mathematics and Its Applications, 35(2), 102–110. http://doi.org/10.1093/teamat/hrw010.
Bulut, M., Akçakın, H. Ü., Kaya, G., & Akçakın, V. (2016). The effects of geogebra on third grade primary students’ academic achievement in fractions. Mathematics Education, 11(2), 327–335. http://doi.org/10.12973/iser.
2109a.
Caligaris, M. G., Schivo, M. E., & Romiti, M. R. (2015). Calculus GeoGebra, an Interesting Partnership. Procedia - Social and Behavioral Sciences, 174, 1183–1188. http://doi.org/10.1016/j.sbspro.2015.01.735.
Chan, Y. (2013). GeoGebra as a tool to explore, conjecture, verify, justify, and prove: The case of a circle. North American GeoGebra Journal, 2(1), 14–18. http://doi.org/S0272638601627586 [pii].
Dikovic, L. (2009a). Applications GeoGebra into teaching some topics of mathematics at the college level. Computer Science and Information Systems, 6(2), 191–203. http://doi.org/10.2298/CSIS0902191D.
Dikovic, L. (2009b). Implementing Dynamic Mathematics Resources with GeoGebra at the College Level. International Journal of Emerging Technologies in Learning (IJET), 4(3), 51–54. http://doi.org/10.3991/ijet.v4i3.784.
Dvir, A., & Tabach, M. (2017). Learning extrema problems using a non-differential approach in a digital dynamic environment: the case of high-track yet low-achievers. ZDM - Mathematics Education, 49(5), 785–798. http://doi.org/10.1007/s11858-017-0862-8.
Emaikwu, O. S., Iji, C. O., & Abari, M. T. (2015). Effect of Geogebra on Senior Secondary School Students’ Interest and Achievement in Statistics in Makurdi Local Government Area of Benue State, Nigeria. IOSR Journal of Mathematics Ver, 11(3), 2278–5728. http://doi.org/10.9790/5728-11341421.
Escuder, A., & Furner, J. M. (2011). The Impact of GeoGebra in Math Teacher’s Professional Development. In International Conference on Technologies in Collegiate Mathematics (pp. 76–84). Denver, Colorado, USA: Pearson.
Garber, K., & Picking, D. (2010). Technology tips: Exploring algebra and geometry concepts with GeoGebra. Mathematics Teacher, 104(3), 226–229.
Granberg, C., & Olsson, J. (2015). ICT-supported problem solving and collaborative creative reasoning: Exploring linear functions using dynamic mathematics software. Journal of Mathematical Behavior, 37, 48–62. http://doi.org/10.1016/j.jmathb.2014.11.001.
Gülseçen, P. S. (2012). Can Geogebra Make Easier the Understanding of Cartesian Co-Ordinates? A Quantitative Study in Turkey. International Journal on New Trends in Education and Their Implications, 3(4), 19–29.
Hähkiöniemi, M. (2013). Teacher’s reflections on experimenting with technology-enriched inquiry-based mathematics teaching with a preplanned teaching unit. Journal of Mathematical Behavior, 32(3), 295–308. http://doi.org/10.1016/j.jmathb.2013.03.007.
Hohenwarter, M., Hohenwarter, J., Kreis, Y., & Lavicza, Z. (2008). Teaching and learning calculus with free dynamic mathematics software GeoGebra. In 11th International Congress on Mathematical Education (pp. 1–9). Monterrey, Mexico.
José, M., Meneu, B., Arcila, M. M., & Mora, E. J. (2017). A Teaching Proposal for the Study of Eigenvectors and Eigenvalues. Journal of Technology and Science Education JOTSE, 7(1), 2017–7. http://doi.org/10.3926/jotse.
260.
Kaput, J., Noss, R., & Hoyles, C. (2008). Developing New Notations for a Learnable Mathematics in the Computational Era. In L. English (Ed.), Handbook of International Research in Mathematics Education (2nd ed., pp. 693–716). New York, London: Routledge. http://doi.org/10.1.1.135.8172.
Khalil, M., Farooq, R. A., Çakıroğlu, E., Khalil, U., & Khan, D. M. (2018). The Development of Mathematical Achievement in Analytic Geometry of Grade-12 Students through GeoGebra Activities. Eurasia Journal of Mathematics, Science and Technology Education, 14(4), 1453–1463. http://doi.org/10.29333/ejmste/83681.
Kovács, Z., & Sólyom-Gecse, C. (2016). GeoGebra Tools with Proof Capabilities, (March), 22. Retrieved from http://arxiv.org/abs/1603.01228.
Laigo, G. R., Bhatti, A. H., P., L. K., & GebreYohannes, H. M. (2016). Revisiting Geometric Construction using Geogebra. Electronic Journal of Mathematics & Technology, 10(1), 35–43.
Lawless, K. A., & Pellegrino, J. W. (2007). Professional Development in Integrating Technology Into Teaching and Learning: Knowns, Unknowns, and Ways to Pursue Better Questions and Answers. Review of Educational Research, 77(4), 575–614. http://doi.org/10.3102/0034654307309921.
Lepmann, T., & Albre, J. (2008). Some possibilities of teaching geometry with GeoGebra. (Programmi GeoGebra kasutamisvõimalusi geomeetria õpetamisel.). Koolimatemaatika, (35), 52–57.
Little, C. (2008). Interactive geometry in the classroom: old barriers and new opportunities. Proceedings of the British Society for Research into Learning Mathematics, 28(2), 49–54. Retrieved from http://www.bsrlm.org.uk/IPs/.
ip28-2/BSRLM-IP-28-2-09.pdf.
Little, C. (2011). Approaches to Calculus Using GeoGebra. In L. Bu & R. Schoen (Eds.), Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra (pp. 191–204). Rotterdam: SensePublishers. http://doi.org/10.1007/978-94-6091-618-2_14.
Liu, C. S., Lai, A. F., & Chen, Y. (2011). Apply GeoGebra to develop digital materials of angle concept for the fourth grade students. In 2011 International Conference on Electrical and Control Engineering, ICECE 2011 - Proceedings (pp. 6357–6361). Yichang, China: IEEE. http://doi.org/10.1109/ICECENG.2011.6056805.
Ljajko, E., Mihajlović, M., & Pavličić, Z. (2010). The hyperbola and Geogebra in high-school instruction. Teaching Mathematics and Computer Science, 8(2), 277–285. https://doi.org/10.5485/TMCS.2010.0265.
Mainali, B., & Key, M. (2012). Using Dynamic Geometry Software GeoGebra in Developing Countries: A Case Study of Impressions of Mathematics Teachers in Nepal. International Journal for Mathematics Teaching and Learning, 1–16. Retrieved from http://www.cimt.plymouth.ac.uk/Journal/mainali.pdf.
Majerek, D. (2014). Applications of GeoGebra for Teaching Mathematics. Advances in Science and Technology Research Journal, 8(24), 51–54. http://doi.org/10.12913/22998624/567.
Martín-Caraballo, A. M., & Tenorio-Villalón, Á. F. (2015). Teaching numerical methods for non-linear equations with Geogebra-based activities. International Electronic Journal of Mathematics Education, 10(2), 53–65. http://doi.org/10.12973/mathedu.2015.104a.
Moeller, B., & Reitzes, T. (2011). Integrating Technology with Student-Centered Learning. A Report to the Nellie Mae Education Foundation. Education Development Center, Inc. Quincy MA. Retrieved from http://eric.ed.gov/?id.
=ED521868.
Molnár, P. (2016). Solving a Linear Optimization Word Problems by Using GeoGebra. International Journal of Information and Communication Technologies in Education, 5(2), 16–28. http://doi.org/10.1515/ijicte-2016-0006.
Mousoulides, N. G. (2011). GeoGebra as a Conceptual Tool for Modeling Real World Problems. In L. Bu & R. Schoen (Eds.), Model-Centered Learning: Pathways to mathematical understanding using GeoGebra (pp. 105–118). Rotterdam: SensePublishers. http://doi.org/10.1007/978-94-6091-618-2_8.
Muzdalipah, I., & Yulianto, E. (2015). The Aplication of Geogebra in Mathematical Problem Solving and Problem Posing of Prospective Teacher. Jurnal Siliwangi, 1(1), 63–74.
Navetta, A. (2016). Visualizing Functions of Complex Numbers Using GeoGebra. North American GeoGebra Journal, 5(2), 17–25.
Pereira, L. R., Maria, J., & Jardim, D. F. (2017). Practices for Geometry Teaching Using Geogebra. In Pixel (Ed.), International Conference New Perspectives in Science Education (6th ed.). Libreria Universitaria.
Pierce, R., & Stacey, K. (2011). Using Dynamic Geometry to Bring the Real World Into the Classroom. In L. Bu & R. Schoen (Eds.), Model-Centered Learning: Pathways to Mathematical Understanding Using GeoGebra (pp. 41–55). Rotterdam: SensePublishers. http://doi.org/10.1007/978-94-6091-618-2_4.
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. http://doi.org/10.16949/turcomat.78085.
Radović, S. (2013). Teaching Materials “Surface Area of Geometric Figures,” Created Using the Software Package. European Journal of Contemporary Education, (4). https://doi.org/10.13187/ejced.2013.4.72.
Rahman, M. H. A., & Puteh, M. (2017). Learning trigonometry using GeoGebra learning module: Are under achieve pupils motivated? AIP Conference Proceedings, 1750, 39–42. http://doi.org/10.1063/1.4954586.
Saha, R. A., Ayub, A. F. M., & Tarmizi, R. A. (2010). The Effects of GeoGebra on Mathematics Achievement: Enlightening Coordinate Geometry Learning. Procedia - Social and Behavioral Sciences, 8, 686–693. http://doi.org/10.1016/j.sbspro.2010.12.095.
Seloraji, P., & Eu, L. K. (2017). Students’ Performance in Geometrical Reflection Using GeoGebra. Malaysian Online Journal of Educational Technology, 5(1), 65–77. Retrieved from http://search.ebscohost.com/login.aspx?direct.
=true&db=eric&AN=EJ1125133&site=ehost-live.
Sherman, M. (2014). The Role of Technology in Supporting Students’ Mathematical Thinking: Extending the Metaphors of Amplifier and Reorganizer. Contemporary Issues in Technology and Teacher Education, 14(3), 220–246.
Stando, J., Gwozdz-Lukawska, G., & Guncaga, J. (2012). From the Pythagorean Theorem to the definition of the derivative function. In 2012 International Conference on E-Learning and E-Technologies in Education (ICEEE) (pp. 54–58). Lodz, Poland: IEEE. http://doi.org/10.1109/ICeLeTE.2012.6333421.
Takači, D., Stankov, G., & Milanovic, I. (2015). Efficiency of learning environment using GeoGebra when calculus contents are learned in collaborative groups. Computers and Education, 82, 421–431. http://doi.org/10.1016/j.compedu.2014.12.002.
Velichova, D. (2011). Interactive Maths with GeoGebra. International Journal of Emerging Technologies in Learning (IJET), 6(S1), 31–35. http://doi.org/10.3991/ijet.v6iS1.1620.
Xistouri, X., & Pitta-pantazi, D. (2013). Using GeoGebra to develop primary school students’ understanding of reflection. North American GeoGebra Journal, 2(1), 19–23.
Zengin, Y., Furkan, H., & Kutluca, T. (2012). The effect of dynamic mathematics software geogebra on student achievement in teaching of trigonometry. In Procedia - Social and Behavioral Sciences, 31, 183–187. http://doi.org/10.1016/j.sbspro.2011.12.038.

How to cite this article

APA

Wassie, Y. A., & Zergaw, G. A. (2019). Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education. Eurasia Journal of Mathematics, Science and Technology Education, 15(8), em1734. https://doi.org/10.29333/ejmste/108436

Vancouver

Wassie YA, Zergaw GA. Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education. EURASIA J Math Sci Tech Ed. 2019;15(8):em1734. https://doi.org/10.29333/ejmste/108436

AMA

Wassie YA, Zergaw GA. Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education. EURASIA J Math Sci Tech Ed. 2019;15(8), em1734. https://doi.org/10.29333/ejmste/108436

Chicago

Wassie, Yismaw Abera, and Gurju Awgichew Zergaw. "Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education". Eurasia Journal of Mathematics, Science and Technology Education 2019 15 no. 8 (2019): em1734. https://doi.org/10.29333/ejmste/108436

Harvard

Wassie, Y. A., and Zergaw, G. A. (2019). Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education. Eurasia Journal of Mathematics, Science and Technology Education, 15(8), em1734. https://doi.org/10.29333/ejmste/108436

MLA

Wassie, Yismaw Abera et al. "Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education". Eurasia Journal of Mathematics, Science and Technology Education, vol. 15, no. 8, 2019, em1734. https://doi.org/10.29333/ejmste/108436