RESEARCH PAPER
Effect of using Desmos on high school students’ understanding and learning of functions
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Department of Learning, KTH Royal Institute of Technology, Stockholm, SWEDEN
 
 
Online publication date: 2023-08-07
 
 
Publication date: 2023-10-01
 
 
EURASIA J. Math., Sci Tech. Ed 2023;19(10):em2331
 
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ABSTRACT
This study examines the effect of using Desmos on students’ performance in learning functions. An embedded mixed methods design was applied and involved 98 students from an upper secondary school in Sweden. Students’ assessments (pre- and post-test) and opinion polls were the two main data collection instruments. The results show that both groups (experimental and control) experienced a significant improvement in their post-test scores. However, the experimental group had a statistically significant improvement in comparison with that of the control group across the five constructs used in this study. The qualitative data revealed that the majority of the students ascribed a positive effect of the use of Desmos on their general understanding of function concepts, their ability to analyze functions and check their answers through visualization, which are difficult when working using paper and pencil.
REFERENCES (50)
1.
Abadi, A., & Fardah, D. K. (2018). Students’ activities for understanding function shifting by using GeoGebra. Journal of Physics: Conference Series, 1108, 012014. https://doi.org/10.1088/1742-6....
 
2.
Ackerman, F., Blevins, J. P., & Malouf, R. (2009). Parts and wholes: Patterns of relatedness in complex morphological systems and why they matter. Analogy in Grammar: Form and Acquisition, 54, 82.
 
3.
Akcay, A. O. (2017). Instructional technologies and pre-service mathematics teachers’ selection of technology. Journal of Education and Practice, 8(7), 163-173.
 
4.
Astafieva, M., Bodnenko, D., Lytvyn, O., & Proshkin, V. (2020). The use of digital visualization tools to form mathematical competence of students. ICTERI, 2020, 416-422.
 
5.
Bakar, K. A., Ayub, A. F. M., Tarmizi, R. A., & Luan, W. S. (2015). Effect of teaching mathematics using GeoGebra on students’ with dissimilar spatial visualization. In Proceedings of the 22nd National Symposium on Mathematical Sciences: Strengthening Research and Collaboration of Mathematical Sciences in Malaysia. https://doi.org/10.1063/1.4932....
 
6.
Beckmann, C. E., Thompson, D. R., & Senk, S. L. (1999). Assessing students’ understanding of functions in a graphing calculator environment. School Science and Mathematics, 99(8), 451-456. https://doi.org/10.1111/j.1949....
 
7.
Birgin, O., & Acar, H. (2022). The effect of computer-supported collaborative learning using GeoGebra software on 11th grade students’ mathematics achievement in exponential and logarithmic functions. International Journal of Mathematical Education in Science and Technology, 53(4), 872-889. https://doi.org/10.1080/002073....
 
8.
Bos, B. (2009). Virtual math objects with pedagogical, mathematical, and cognitive fidelity. Computers in Human Behavior, 25(2), 521-528. https://doi.org/10.1016/j.chb.....
 
9.
Braun, V., & Clarke, V. (2006). Using thematic analysis in psychology. Qualitative Research in Psychology, 3(2), 77-101. https://doi.org/10.1191/147808....
 
10.
Braun, V., & Clarke, V. (2012). Thematic analysis. In H. Cooper, P. M. Camic, D. L. Long, A. T. Panter, D. Rindskopf, & K. J. Sher (Eds.), APA handbook of research methods in psychology, Vol 2: Research designs: Quantitative, qualitative, neuropsychological, and biological. (pp. 57-71). American Psychological Association. https://doi.org/10.1037/13620-....
 
11.
Burnett-Bradshaw, C. S. (2012). Eleventh graders’ understanding of mathematical functions. http://gateway.proquest.com.e.....
 
12.
Carlson, M., & Oehrtman, M. (2005). Key aspects of knowing and learning the concept of function. Mathematical Association of America Research Sampler. https://www.maa.org/programs/f....
 
13.
Celen, Y. (2020). Student opinions on the use of GeoGebra software in mathematics teaching. Turkish Online Journal of Educational Technology, 19(4), 84-88.
 
14.
Cheung, A. C. K., & Slavin, R. E. (2013). The effectiveness of educational technology applications for enhancing mathematics achievement in K-12 classrooms: A meta-analysis. Educational Research Review, 9, 88-113. https://doi.org/10.1016/j.edur....
 
15.
Chorney, S. (2021). Classroom practice and craft knowledge in teaching mathematics using Desmos: Challenges and strategies. International Journal of Mathematical Education in Science and Technology, 53(12), 3203-3227. https://doi.org/10.1080/002073....
 
16.
Creswell, J. W. (2013). Qualitative inquiry and research design: Choosing among five approaches. SAGE.
 
17.
Damick, J. M. (2015). Implementing technology in an Algebra classroom [Master’s thesis, State University of New York].
 
18.
Davidenko, S. (1997). Building the concept of function from students’ everyday activities. The Mathematics Teacher, 90(2), 144-149. https://doi.org/10.5951/MT.90.....
 
19.
Dubinsky, E. (2001). Using a theory of learning in college mathematics courses. MSOR Connections, 1(2), 10-15.
 
20.
Duffy, T. M., & Jonassen, D. H. (2013). Constructivism and the technology of instruction: A conversation. Routledge. https://doi.org/10.4324/978020....
 
21.
Fabian, K., Topping, K. J., & Barron, I. G. (2016). Mobile technology and mathematics: Effects on students’ attitudes, engagement, and achievement. Journal of Computers in Education, 3(1), 77-104. https://doi.org/10.1007/s40692....
 
22.
Godwin, S., & Sutherland, R. (2004). Whole‐class technology for learning mathematics: The case of functions and graphs. Education, Communication & Information, 4(1), 131-152. https://doi.org/10.1080/146363....
 
23.
Graham, A. T., & Thomas, M. O. J. (2000). Building a versatile understanding of algebraic variables with a graphic calculator. Educational Studies in Mathematics, 41(3), 265-282. https://doi.org/10.1023/A:1004....
 
24.
Henrekson, M., & Jävervall, S. (2016). Educational performance in Swedish schools is plummeting—What are the facts? IVA.
 
25.
Henrekson, M., & Wennström, J. (2022). Dumbing down: The crisis of quality and equity in a once-great school system—and how to reverse the trend. Springer. https://doi.org/10.1007/978-3-....
 
26.
Hoyles, C. (2018). Transforming the mathematical practices of learners and teachers through digital technology. Research in Mathematics Education, 20(3), 209-228. https://doi.org/10.1080/147948....
 
27.
Huitt, W. (2011). Bloom et al.’s taxonomy of the cognitive domain. Educational Psychology Interactive, 22, 1-4.
 
28.
Jankvist, U. T., Misfeldt, M., & Aguilar, M. S. (2019). What happens when CAS procedures are objectified?—The case of “solve” and “desolve.” Educational Studies in Mathematics, 101(1), 67-81. https://doi.org/10.1007/s10649....
 
29.
Kiger, M. E., & Varpio, L. (2020). Thematic analysis of qualitative data: AMEE guide No. 131. Medical Teacher, 42(8), 846-854. https://doi.org/10.1080/014215....
 
30.
King, A. (2017). Using Desmos to draw in mathematics. Australian Mathematics Teacher, 73(2), 33-37.
 
31.
McCulloch, A. W., Hollebrands, K., Lee, H., Harrison, T., & Mutlu, A. (2018). Factors that influence secondary mathematics teachers’ integration of technology in mathematics lessons. Computers & Education, 123, 26-40. https://doi.org/10.1016/j.comp....
 
32.
Murphy, D. (2016). A literature review: The effect of implementing technology in a high school mathematics classroom. International Journal of Research in Education and Science, 2(2), 295.
 
33.
Nicaise, M., & Barnes, D. (1996). The union of technology, constructivism, and teacher education. Journal of Teacher Education, 47(3), 205-212. https://doi.org/10.1177/002248....
 
34.
Ocak, M. A. (2008). The effect of using graphing calculators in complex function graphs. EURASIA Journal of Mathematics, Science and Technology Education, 4(4), 337-346. https://doi.org/10.12973/ejmst....
 
35.
Olive, J., Makar, K., Hoyos, V., Kor, L. K., Kosheleva, O., & Strässer, R. (2010). Mathematical knowledge and practices resulting from access to digital technologies. In C. Hoyles, & J. B. Lagrange (Eds.), Mathematics education and technology-Rethinking the terrain (pp. 133-177). Springer.
 
36.
Papert, S. (1980). Children, computers, and powerful ideas. Harvester.
 
37.
Sajka, M. (2003). A secondary school student’s understanding of the concept of function: A case study. Educational Studies in Mathematics, 53(3), 229. https://doi.org/10.1023/A:1026....
 
38.
Sebsibe, A. S., Dorra, B. T., & Beressa, B. W. (2019). Students’ difficulties and misconceptions of the function concept. International Journal of Research, 7(8), 181-196. https://doi.org/10.29121/grant....
 
39.
Shahriari, R. (2019). The effect of using technology on students’ understanding in calculus and college algebra [PhD thesis, University of Arkansas].
 
40.
Sierpinska, A. (1992). On understanding the notion of function. Mathematical Association of America.
 
41.
Skolinspektionen. (2019). Digitala verktyg i undervisningen matematik och teknik i årskurs 7-9 [Digital tools in teaching mathematics and technology in grades 7-9]. Skolinspektionen [The School Inspectorate]. https://www.skolinspektionen.s....
 
42.
Skolverket. (2023). Läroplan matematik [Curriculum mathematics]. https://www.skolverket.se/unde....
 
43.
Swanepoel, C. H., & Gebrekal, Z. M. (2010). The use of computers in the teaching and learning of functions in school mathematics in Eritrea. Africa Education Review, 7(2), 402-416. https://doi.org/10.1080/181466....
 
44.
Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151-169. https://doi.org/10.1007/BF0030....
 
45.
Thomas, M., & Chinnappan, M. (2008). Teaching and learning with technology: Realizing the potential. In H. Forgasz, A. Barkatsas, A. J. Bishop, B. Clarke, S. Keast, W. Tiong-Seah, & P. Sullivan (Eds.), Research in mathematics education in Australasia 2004-2007 (pp. 165-193). Brill.
 
46.
Thomas, R. V. (2016). The effects of dynamic graphing utilities on student attitudes and conceptual understanding in college algebra [PhD thesis, University of Arkansas].
 
47.
Waits, B. K., & Demana, F. (1999). Calculators in mathematics teaching and learning: Past, present, and future. https://studylib.net/doc/74427....
 
48.
Wallin, J., Hafsteinsdottir, E., Samuelsson, J., Bergman, E., Bergman, M., Fundell, S., Gulz, A., Helenius, O., & Jahnke, A. (2017). Digitala lärresurser I matematikundervisningen, delrapport skola: Systematisk översikt 2017: 02 [Digital learning resources in mathematics education, interim report school: Systematic overview 2017: 02]. Skolforskningsinstitutet [School Research Institute]. https://www.skolfi.se/wp-conte....
 
49.
Zulnaidi, H., & Zakaria, E. (2012). The effect of using GeoGebra on conceptual and procedural knowledge of high school mathematics students. Asian Social Science, 8(11), 102-106. https://doi.org/10.5539/ass.v8....
 
50.
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....
 
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