Evaluation of the Effectiveness of the "Mathematica Application" in Examining and Graphing Quadratic Functions
DOI:
https://doi.org/10.57125/FED.2023.09.25.09Keywords:
Application, effectiveness, graphic presentation, Mathematica, quadratic functions, studentsAbstract
This scientific paper aims to evaluate the effectiveness of the “Mathematica Application” in examining and graphically presenting quadratic functions. This study has the potential to improve teaching and help choose the most effective tools to examine and present quadratic functions. By incorporating the Mathematica application into the teaching and learning process of mathematics, students' interaction and understanding of this important mathematical topic can be increased. The method used to evaluate the effectiveness of the “Mathematica Application” is a combination of qualitative and quantitative analysis. In the qualitative analysis, we will examine the students' experience with the Mathematica application in examining quadratic functions and their graphical presentation. The users will be students who have used the application to study quadratic functions in the context of learning mathematics. Also, we will use quantitative analysis to analyze the performance of the Mathematica application in the graphical presentation of quadratic functions. We have selected a data set of well-known quadratic functions and will use them to graph these functions. The sample of the study will be represented by students in the tenth grade, which is a purposive sample since these learning units are covered in this class. The results of this evaluation will be of importance to the community of mathematicians and users of the Mathematica application. They will have a clear appreciation of the capabilities and performance of the Mathematica application in examining and graphing quadratic functions. This information can be used to improve teaching and to decide whether the Mathematica application is an appropriate tool for studying quadratic functions in the context of mathematics education.
References
Ardic, M. A., & Isleyen, T. (2017). Secondary school mathematics teachers’ and students’ views on computer assisted mathematics Mathematica example. Malaysian Online Journal of Educational Technology, 5(1), 46–64. https://mojet.net/index.php/mojet/article/view/92
AUC. (n.d.). Mathematica software revolutionizes science, engineering education. Retrieved July 9, 2023, from https://www.aucegypt.edu/news/stories/mathematica-software-revolutionizes-science-engineering-education
Aydın, E. (2005). The use of computers in mathematics education: A paradigm shift from “Computer assisted instruction” towards “Student programming”. The Turkish Online Journal of Educational Technology, 4(2), Article 4. https://files.eric.ed.gov/fulltext/ED502604.pdf
Bataineh, H., Zoubi, A., & Khataybeh, A. (2019). Utilizing MATHEMATICA software to improve students’ problem solving skills of derivative and its applications. International Journal of Education and Research, 7, 57–70. https://www.ijern.com/journal/2019/November-2019/05.pdf
Baumann, G. (2000). Symmetry analysis of differential equations with Mathematica. Springer New York. https://doi.org/10.1007/978-1-4612-2110-4
Borwein, J., & Bailey, D. H. (2009). Mathematica in action: Problem solving through visualization and computation. Springer New York. https://doi.org/10.1007/978-0-387-75477-2
Dziubak, S., Sobotka, T., & Suchánek, P. (2014). Mathematica in education. World Scientific.
George, T. (2021, December 6). Exploratory research | Definition, guide, & examples. Scribbr. https://www.scribbr.com/methodology/exploratory-research/
Haleem, A., Javaid, M., Qadri, M. A., & Suman, R. (2022). Understanding the role of digital technologies in education: A review. Sustainable Operations and Computers, 3, 275–285. https://doi.org/10.1016/j.susoc.2022.05.004
Jonassen, T. M. (2002). Mathematica as a teaching tool for a large audience of students [Conference presentation]. International Arctic Seminar 2002, Murmansk, Russia.
Kinlay, J. (n.d.). What are some real-world applications of Mathematica?. Wolfram Community. Retrieved July 9, 2023, from https://community.wolfram.com/groups/-/m/t/774416
Listyani, E. (2006). Efforts to increase achievement and independence learning differential calculus with mathematica software on mathematics study program students. FMIPA UNY.
Musyrifah, E., Rabbani, H., Sobiruddin, D., & Khairunnisa, K. (2021). Development of wolfram mathematica application-assisted learning module on derivative in high school. Journal of Physics: Conference Series, 1836, Article 012076. https://doi.org/10.1088/1742-6596/1836/1/012076
Nielsen, L. E. (2015). Understanding quadratic functions and solving quadratic equations: An analysis of student thinking and reasoning [PhD dissertation]. University of Washington. http://hdl.handle.net/1773/33799
Orhani, S. (2021). Integration technology in math lessons. In Yu. B. Melnyk, & L. M. Georgieva (Eds.), Current issues of education and science. 9th international conference, CIES-2021, Riga, Latvia – Kharkiv, Ukraine, November 10–13, 2021, Conference proceedings (pp. 25-32). https://doi.org/10.26697/9786177089147.2021.04
Strogatz, S. (2013). The joy of x: A guided tour of math, from one to infinity. Mariner Books.
Shatila, H., Habre, S., & Osta, I. (2016). Effects of technology-aided multiple-representations approach on students’ understanding of derivatives. In Proceedings of 28th International Conference on Technology in Collegiate Mathematics (pp. 221–225). https://laur.lau.edu.lb:8443/xmlui/bitstream/handle/10725/8057/Effects.pdf
Sholahudin, U. (2017). Pemanfaatan perangkat lunak mathematica dalam perkuliahan kalkulus materi limit fungsi. In Seminar Nasional Riset Terapan 2017 (pp. 247–250). https://e-jurnal.lppmunsera.org/index.php/senasset/article/view/456
Tall, D., Smith, D., & Piez, C. (2008). Technology and calculus. In M. K. Heid & G. M. Blume (Eds.), Research on technology and the teaching and learning of mathematics (volume I: research syntheses, pp. 207–258). Information Age Publishing.
Tersian, S., & Chaparova, J. (2020). About using "Mathematica" in teaching of diferential calculus. University of Ruse Angel Kanchev. https://www.researchgate.net/publication/228993636_ABOUT_USING_MATHEMATICA_IN_TEACHING_OF_DIFFERENTIAL_CALCULUS
Velázquez, F. D., & Méndez, G. M. (2021). Application in augmented reality for learning mathematical functions: A study for the development of spatial intelligence in secondary education students. Mathematics, 9(4), Article 369. https://doi.org/10.3390/math9040369
Vorob’ev, E. (2012). Online teaching of calculus using webmathematica [Conference presentation]. First International Conference. Globalization: Business, Finance and Education (ITERB-2012), Larnaca, Cyprus.
Wolfram, S. (1999). The Mathematica book (4th ed.). Cambridge University Press.
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