Effects of Geometer’s Sketchpad on Algebraic Reasoning Competency amongst Students in Malaysia

Hwa Li Li; Hutkemri  Zulnaidi

doi:10.51276/edu.v5i1.717

Authors

Hwa Li Li Universiti Malaya
Hutkemri Zulnaidi Universiti Malaya

DOI:

https://doi.org/10.51276/edu.v5i1.717

Keywords:

Algebraic Reasoning Competency , Geometer’s Sketchpad , Quasi-Experiment

Abstract

This study investigates the impact of incorporating Geometer's Sketchpad into GSP-based instruction on the algebraic reasoning proficiency of students. The research outlines the application of GSP-based instruction, utilizing Geometer's Sketchpad in Mathematics education, with a specific focus on solving quadratic problems. A quasi-experimental design, involving non-equivalent pre-test and post-test assessments, was conducted on 60 second-grade students at a private secondary school in Kuala Lumpur. The experimental group, consisting of 30 students, utilized Geometer's Sketchpad in their learning, while the control group, comprising 30 students, received traditional instruction. Data analysis was performed using ANATES 4 and SPSS 25.0 software, incorporating inferential statistics such as paired t-tests and one-way ANCOVA for quantitative data analysis. Both groups underwent an initial pre-test assessment. The research findings reveal a significant disparity in algebraic reasoning proficiency between the two groups, indicating substantial improvement after the intervention. Consequently, the integration of Geometer's Sketchpad in GSP-based instruction contributed to the enhancement of students' algebraic reasoning skills, particularly in quadratic problem-solving. In conclusion, this study underscores the potential of Geometer's Sketchpad as an instructional intervention, urging mathematics educators to contemplate its incorporation as an alternative teaching tool.

Downloads

Download data is not yet available.

References

Abdullah, A. H., Surif, J., Tahi, L. M., Ibrahim, N. H & Zakaria, E. (2015). Enhancing Students' Geometrical Thinking Levels Through Van Hiele's Phase-Based Geometer's Sketchpad-Aided Learning. Proceeding of the 7th International Conference on Engineering Education (ICEED), 106-111.

Ames, L., An, H., & Alon, S. (2013). The Incorporation of Geometer’s Sketchpad in a high school geometry curriculum. In D. Polly (Ed.), Common Core Mathematics Standards and Implementing Digital Technologies, 102- 109. Hershey, PA: IGI.

Arbain, N., & Shukor, N. A. (2015). The Effects of Geogebra on Student Achievement. Procedia-Social and Behavioral Sciences, 172, 208-214. https://doi.org/10.1016/j.sbspro.2015.01.356.

Arora, R. (2016). An Introduction to Big Data, High-Performance Computing, High-Throughput Computing, and Hadoop. Switzerland: Springer International Publishing. https://doi.org/10.1007/978-3-319-33742-5.

Campbell, D. T., & Stanley, J. C. (1963). Experimental and Quasi-Experimental Designs for Research. Chicago: Rand McNally.

Carnevale, A. P., & Smith, N. (2013). Workplace Basics: The Skills Employees Need, and Employers Want. Human Resource Development International, 16 (5), 491–501. https://doi.org/10.1080/13678868.2013.821267.

Choi, K. (2018). On the Isoperimetric Problem of Polygons: the Mathematical Reasoning and Proof with the Geometer's Sketchpad. Communications of Mathematical Education, 32(3), 257-273. https://doi.org/10.7468/jksmee.2018.32.3.257.

Christensen, L. B. (2001). Experimental Methodology (8th ed.). Boston: Allyn and Bacon.

Creswell, J. W. (2012). Educational Research Planning, Conducting, and Evaluating Quantitative and Qualitative Research (4th ed.), Boston: MA Pearson.

Didis, M. G., & Erbas, A. K. (2015). Performance and Difficulties of Students in Formulating and Solving Quadratic Equations with One Unknown. Educational Sciences: Theory and Practice, 15(4), 1137-1150. https://doi.org/10.12738/estp.2015.4.2743.

Granberg, C., & Olsson, J (2015). ICT-supported Problem Solving and Collaborative Creative Reasoning: Exploring Linear Functions using Dynamic Mathematics Software. The Journal of Mathematical Behavior, 37, 48-62. https://doi.org/10.1016/j.jmathb.2014.11.001.

Han, S., Capraro, R., & Capraro, M. M. (2015). How Science, Technology, Engineering, and Mathematics (STEM) Project-based Learning (PBL) Affects High, Middle, and Low Achievers Differently: The Impact of Student Factors on Achievement. International Journal of Science and Mathematics Education, 13(5), 1089-1113. https://doi.org/10.1007/s10763-014-9526-0.

Hopkins, B., Geangu, E., & Linkenauger, S. (2017). The Cambridge Encyclopaedia of Child Development. Cambridge University Press.

Iji, C. O., Abakpa, B. O., & Age, T. J. (2018). Effect of Geometer’s Sketch Pad on Senior Secondary School Students’ Interest and Achievement in Geometry in Gboko Metropolis. International Journal of Research and Review, 5(4), 33-39.

Indraswari, N. F., Budayasa, I. K., & Ekawati, R. (2018). Algebraic Reasoning in Solving Mathematical Problem Based on Learning Style. Journal of Physics: Conference Series, 947(1), 1-6. https://doi.org/10.1088/1742-6596/947/1/012061.

Kabar, M. G. D., & Gözde, M. (2018). Secondary School Students’ Conception of Quadratic Equations with One Unknown. International Journal for Mathematics Teaching and Learning, 1, 112-129. https://doi.org/10.4256/ijmtl.v19i1.94.

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.

Kustiawati, D, Kusumah, Y. S., & Herman, T. (2019). Using GeoGebra to Improve Mathematical Reasoning with the Problem-Solving Method. Proceeding the First International Conference on Technology and Educational Science (ICTES), 1-7. https://doi.org/10.4108/eai.21-11-2018.2282227.

Lepak, J. R., Wernet, J. L., & Ayieko, R. A. (2018). Capturing and Characterizing Students’ Strategic Algebraic Reasoning through Cognitively Demanding Tasks with a Focus on Representations. The Journal of Mathematical Behavior, 50, 57-73. https://doi.org/10.1016/j.jmathb.2018.01.003.

López, J., Robles, I., & Martínez-Planell, R. (2016). Students' Understanding of Quadratic Equations. International Journal of Mathematical Education in Science and Technology, 47(4), 552-572. https://doi.org/10.1080/0020739X.2015.1119895.

Napitupulu, E. E., Suryadi, D, & Kusumah, Y. S. (2016). Cultivating Upper Secondary Students Mathematical Reasoning-Ability and Attitude towards Mathematics Through Problem-Based Learning. Journal on Mathematics Education, 7(2), 117-128. https://doi.org/10.22342/jme.7.2.3542.117-128.

Ng, A. A. (2017). STEM is a priority for Malaysia. Retrieved From https://www.thestar.com.my/news/education/2017/03/12/stem-a-priority-for-malaysia.

Övez, F. T. D (2018). The Impact of Instructing Quadratic Functions with the Use of Geogebra Software on Students' Achievement and Level of Reaching Acquisitions. International Education Studies, 11(7), 1-11. https://doi.org/10.5539/ies.v11n7p1.

Ramli, R., Mustapha, R., & Ramli, R. (2014, August). A study on the Effectiveness of a Technology Supported Approach in the Teaching of Mathematics—Using Geometers' Sketchpad (GSP). In 2014 2nd International Conference on Technology, Informatics, Management, Engineering & Environment, 105-110. IEEE. https://doi.org/10.1109/TIME-E.2014.7011601.

Shergill, H. K. (2012). Experimental Psychology. PHI, Learning PVT. LTD.

Smith, J. P. J. & Thompson, P. W. (2017). Quantitative Reasoning and the Development of Algebraic Reasoning. Algebra in the Early Grades, 117-154.

To, K. (1996). Knowing Text Analysis (Introduction to ANATES Computer Program). Bandung: Department of Educational Psychology and Guidance FIP IKIP.

Troup, J. (2019). Developing Reasoning about the Derivative of a Complex-Valued Function with the Aid of Geometer’s Sketchpad. International Journal of Research in Undergraduate Mathematics Education, 5(1), 3-26. https://doi.org/10.1007/s40753-018-0081-x.

Tutkun, O. F., & Ozturk, B. (2013). The effect of GeoGebra Mathematical Software on academic success and the level of Van Hiele Geometrical Thinking. International Journal of Academic Research, 5(4), 22-28.