The Efficacy of GeoGebra-Assisted Instruction on Students’ Drawing and Interpretations of Linear Functions

Ugorji Iheanachor Ogbonnaya, Melody Mushipe

Abstract


The purpose of this study was to explore the effectiveness of GeoGebra assisted instruction on students’ achievement in drawing graphs of linear functions and interpretation of the representations of linear functions. These aspects of linear functions tend to pose a challenge to many students. The non-equivalent control group pre-test-post-test quasi-experimental research design was used in the study. The sample was 94 Grade 9 students from three secondary schools in a province in South Africa. Two schools formed the control groups and one school was the experimental group. Data were collected using achievement tests. The tests results were analysed using inferential statistics (Kruskal-Wallis and Mann-Whitney U comparison tests) at 0.05 level of significance. Statistically significant differences were found between the groups with respect to drawing and interpretation of linear functions graphs with the experimental group obtaining the highest mean scores. The findings suggest that GeoGebra assisted instruction might be a way of enhancing students’ ability to draw the graphs of linear functions and analyse and interpret the representations of linear functions. 

https://doi.org/10.26803/ijlter.19.9.1


Keywords


Drawing graphs; Geogebra; interpreting graphs; linear functions; technology

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References


Akcay, A. O. (2017). Instructional Technologies and Pre-Service Mathematics Teachers’ Selection of Technology. Journal of Education and Practice, 8(7), 163–173.

Alkhateeb, M. A., & Al-Duwairi, A. M. (2019). The Effect of Using Mobile Applications (GeoGebra and Sketchpad) on the Students’ Achievement. International Electronic Journal of Mathematics Education, 14(3), 523-533. https://doi.org/10.29333/iejme/5754

Amam, A., Fatimah, A. T., Hartono, W., & Effendi, A. (2017). Mathematical Understanding of the Underprivileged Students through GeoGebra. Journal of Physics: Conf. Series, 895 012007, 1-2. https://doi.org/10.1088/1742-6596/895/1/012007

Arbain, N., & Shukor, N. A (2015). The effects of GeoGebra on students’ achievement. Procedia - Social and Behavioral Sciences, 172, 208–214. https://doi.org/10.1016/j.sbspro.2015.01.356

Aydos, M. (2015). The impact of teaching mathematics with GeoGebra on the conceptual understanding of limits and continuity: the case of Turkish gifted and talented students (Master’s thesis). İhsan Doğramacı Bilkent University, Ankara, Turkey.

Bester, G., & Brand, L. (2013). The effect of using technology on learner attention and achievement in the classroom. South African Journal of Education, 33(2), 1-15.

Bray, A., & Tangney, B. (2017). Technology usage in mathematics education research—A systematic review of recent trends. Computers and Education, 114, 255–273. https://doi.org/10.1016/j.compedu.2017.07.004

Bulut, M., Akçakın, H. U., Kaya, G., & Akçakın, V. (2016). The effects of GeoGebra on third grade primary students’ academic achievement in fractions. International Electronic Journal of Mathematics Education, 11(2), 347-355. https://doi.org/10.12973/iser.2016.2109a

Cohen, J. (1988). Statistical power analysis for the behavioral sciences. New York: Routledge Academic.

Cohen, L., Manion, L., & Morrison, K. (2011). Research Methods in Education (7th ed.) New York: Routledge

Department of Basic Education. (2011). Curriculum Assessment Policy Statement Grades 7-9. Pretoria: Government Printer.

Disbudak, O., & Akyuz, D. (2019). The Comparative Effects of Concrete Manipulatives and Dynamic Software on the Geometry Achievement of Fifth-Grade Students. International Journal of Technology in Mathematics Education, 26 (1), 3-20. https://doi.org/10.1564/tme_v26.1.01

Fraenkel, J. R., & Wallen, N. E. (2009). How to Design Evaluate Research in Education (7th ed). New York: McGrawHill Companies.

Godebo, G. H. (2018). Application of GeoGebra on Euclidean geometry in rural high schools: Grade 11 learners (Master’s dissertation). University of Zululand, South Africa.

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. https://doi.org/10.1016/j.jmathb.2014.11.001

Hohenwarter, M., & Jones, K. (2007). Ways of linking geometry and algebra: The case of GeoGebr. Proceedings of British Society for Research into Learning Mathematics, 27 (3), 126-131.

Hohenwarter, M., & Lavicza, Z. (2009). The strength of the community: how GeoGebra can inspire technology integration in mathematics teaching. MSOR Connections, 9(2), 3-5.

Jelatu, S., Sariyasa, & Ardana, I. M. (2018). Effect of GeoGebra-Aided REACT Strategy on Understanding of Geometry Concepts. International Journal of Instruction, 11(4), 325-336. https://doi.org/10.12973/iji.2018.11421a

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. https://doi.org/10.29333/ejmste/83681

Laridon, P., Barnes, H., Kitto, A., Myburg, M., Pike, M., Scheiber, J., Sigabi M., & Wilson, H. (2004). Classroom mathematics: Grade 10 learners’ book. Sandton: Heinemann.

Masri, R., Hiong, T. S., Tajudin, N. M., Zamzana, Z. Z., & Shah, R. L. Z. (2016). The effects of using GeoGebra teaching strategy in Malaysian secondary schools: A case study from Sibu, Sarawak. Malaysian Journal of Society and Space, 12(7), 13–25.

McMillan, J., & Schumacher, S. (2013). Research in education: Evidence-based inquiry, New York: Pearson.

Mthethwa, M. Z. (2015). Application of GeoGebra on Euclidean geometry in rural high schools: Grade 11 learners (Master’s dissertation). University of Zululand, South Africa.

Mueller, J., Wood, E., Willoughby, T., Ross, C., & Specht, J. (2008). Identifying discriminating variables between teachers who fully integrate computers and teachers with limited integration. Computers & Education, 51(4), 1523–1537.

Mustafa, A. (2015). The impact of teaching mathematics with GeoGebra on the conceptual understanding of limits and continuity: The case of Turkish gifted and talented students, (Master’s dissertation). İhsan Doğramacı Bilkent University, Turkey.

Ogbonnaya, U. I. (2010). Improving the teaching and learning of parabolic functions by the use of information and communication technology. African Journal of Research in Mathematics, Science and Technology Education, 14(1), 49-60.

Ogbonnaya, U. I., & Mji, A. (2012). Enhancing students’ learning of hyperbolic functions by the use of information and communication technology. Proceedings of 5th Annual International Conference on Education and New Learning Technologies (Edulearn), Barcelona, Spain, 5619-5216.

Pfeiffer, C. (2017). A study of the development of mathematical knowledge in a GeoGebra focused learning environment (Doctoral thesis). Stellenbosch University, Stellenbosch.

Pierce, R. (2005). Linear functions and the triple influence of teaching on the development of students’ algebraic expectations, Proceedings of the 19th Conference of the International Group for the Psychology of Mathematics Education, Melbourne, Australia, 4, 81-88.

Pjanić, K., & Lidan, E. (2015). One Usage of Geogebra in Enhancing Pre-service Mathematics Teachers’ Content Knowledge. Turkish Journal of Computer and Mathematics Education, 6(1), 18-30. https://doi.org/10.16949/turcomat.78085

Phan-Yamad, T., & Man, S. W. (2018). Teaching statistics with GeoGebra. North American GeoGebra Journal, 7(1), 14-24

Praveen, S., & Leong, K. (2013). Effectiveness of using GeoGebra on students’ understanding of circles. The Malaysian Online Journal of Educational Technology, 1(4), 1-11.

Rahman, M. H. A., & Puteh, M. (2017). Learning trigonometry using GeoGebra learning module: Are underachiever pupils motivated? Sains humanika, 9(1-2), 39-42. https://doi.org/10.11113/sh.v9n1-2.1095

Rosenbaum, P. R. (1987). The role of a second control group in an observational study. Statistical Science, 2(3), 292-306.

Kushwaha, R. C., Chaurasia, P. K., & Singhal, A. (2014). Impact on students’ achievement in teaching mathematics using GeoGebra, Proceedings of IEEE Sixth International Conference on Technology for Education, Amrita University, 34–137.

Richardson, V. (2003). Constructivist pedagogy. Teachers College Record, 105(9), 1623-1640.

Slavin, R. E., & Davis N. (2006). Educational Psychology: Theory and Practice. East Montpelier: Johnson State College.

Seloraji, P., & Eu, L. K. (2017). Students’ performance in geometrical reflection using GeoGebra. Malaysian Online Journal of Educational Technology, 5(1), 65–77. https://doi.org/10.17220/mojet

TakaÄi, 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. https://doi.org/10.1016/j.compedu.2014.12.002

TakaÄi, D., & Vukobratović, R. (2011). On the role of GeoGebra in examining functions. Proceedings of the International GeoGebra Conference for Southeast Europe, Novi Sad-Serbia, 53-60.

Thambi, N., & Eu, L. K. (2012). Effect of students’ achievement in fractions using GeoGebra. SAINSAB, 16, 97-106.

Wassie, Y. A., & Zergaw, G. A. (2018). Capabilities and Contributions of the Dynamic Math Software, GeoGebra—A review. North American GeoGebra Journal, 7(1), 68- 86.

Wijayanti, D. (2018). Two notions of ‘linear function’ in lower secondary school and missed opportunities for students’ first meeting with functions. The Mathematics Enthusiast, 15(3), 467-481.

Zengin, Y., Furkanb, H., & Kutluca, T. (2012). The effect of dynamic mathematics software GeoGebra on student achievement in teaching of trigonometry. Procedia - Social and Behavioral Sciences, 31, 183–187. https://doi.org/10.1016/j.sbspro.2011.12.038

Zulnaidi, H., Oktavika, E., & Hidayat, R. (2020). Effect of use of GeoGebra on achievement of high school mathematics students. Education and Information Technologies, 25(1), 51–72. https://doi.org/10.1007/s10639-019-09899-y


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