Technology Inspires Mathematical Creativity in High School
DOI:
https://doi.org/10.57125/FED.2024.09.25.18Keywords:
Mathematical Creativity, Technology, Mathematical Projects, Modeling, Creative Clock, Spiral of TheodorusAbstract
Technology has a significant impact on the development of visual and mathematical creativity in high school. The purpose of this study was to observe how mathematical projects combining technology and creativity are implemented in a technology-oriented urban school in New Jersey. The study was conducted as a cross-sectional study using the observational method. The methodology section discusses examples of teacher projects such as modelling with circles, creating mathematical clocks, and exploring Theodore's spirals. The results section presents student projects, including watermelon clocks and drawing mathematical equations. Technology assisted teachers and students in finding patterns, creating mathematical equations, solving problems, and responding quickly to open-ended questions. This study extends the research field of creativity in high school by emphasising the complementarity of technology and mathematical creativity in the implementation of mathematical projects.
References
Acquaro, P., & Goss, S. (2022, November 9). Why can’t your real world projects live in the real world?. Faculty Focus. https://www.facultyfocus.com/articles/course-design-ideas/why-cant-your-real-world-project-live-in-the-real-world/
Alpuim, M., & Ehrenberg, K. (2023, August 3). Why images are so powerful – and what matters when choosing them. Bonn Institute. https://www.bonn-institute.org/en/news/psychology-in-journalism-5
Baez, R., Sanchez, H., & Pllana, D. (2024a). Creativity in high school through drawing with polynomials. Advances in Social Sciences Research Journal, 11(1), 318–332. https://doi.org/10.14738/assrj.111.16349
Baez, R., Sanchez, H., Pllana, D., & Sandeep, N. (2024b). Beauty of plants and flowers obeys Fibonacci sequences. European Journal of Applied Sciences, 12(3), 47–64. https://doi.org/10.14738/aivp.123.16986
Barlow, M. A. (2016). The pythagorean theorem. WestBow Press.
Cai, J., & Hwang, S. (2002). Generalized and generative thinking in US and Chinese students’ mathematical problem solving and problem posing. Journal of Mathematical Behavior, 21(4), 401–421. https://doi.org/10.1016/S0732-3123(02)00142-6
Cai, J., Ran, H., Hwang, S., Ma, Y., Han, J., & Muirhead, F. (2023). Impact of prompts on students’ mathematical problem posing. The Journal of Mathematical Behavior, 72, Article 101087. https://www.sciencedirect.com/science/article/abs/pii/S0732312323000573
Cantor, K. (2020, July 3). How to write your own equation in algebra. Interactive Mathematics. https://www.intmath.com/blog/mathematics/how-to-write-your-own-equation-in-algebra-12406
CreativeHuddle. (n.d.). Pattern recognition: What it is and how to develop it. https://www.creativehuddle.co.uk/post/pattern-recognition-what-it-is-and-how-to-develop-it
Cuemath. (2020). Pentagon shape. https://www.cuemath.com/geometry/pentagon-shape/
Divrik, R., Tas, A. M., & Pilten, P. (2020). Teachers' views on the problem-solving & problem-posing tasks in primary school mathematics textbooks. Journal of Curriculum and Teaching, 9(1), 73–85. https://eric.ed.gov/?id=EJ1248130
DMACGREGOR. (2021, May 2). The beauty in drawing small circles. https://www.workingthegoodlife.com/the-beauty-in-drawing-small-circles/
Dombrowski, M. (2022, December 22). The intersection of creativity and technology in education. Linkedin. https://www.linkedin.com/pulse/intersection-creativity-technology-education-matt-dombrowski
Fintelman, E. (2023, August 22). Prompts for math reflections. https://emilyfintelman.com/2023/08/22/prompts-for-maths-reflections/
Guo, Z. (2023). Research on the impact of digital technology on mathematical creativity based on data science methods. In 2023 International Conference on Economics, Management, Urban Development and Social Sciences (pp. 40–45). Francis Academic Press. https://webofproceedings.org/proceedings_series/ESSP/ICEMUDSS%202023/SC80105.pdf
Hall, N. (Ed.). (2021, May 13). Pythagorean theorem. Glenn Research Center. https://www.grc.nasa.gov/www/k-12/airplane/pythag.html
Henriksen, D., Creely, E., Henderson, M., & Mishra, P. (2021). Creativity and technology in teaching and learning: A literature review of the uneasy space of implementation. Educational Technology Research and Development, 69, 2091–2108. https://doi.org/10.1007/s11423-020-09912-z
Idris, N., & Nor, N. M. (2010). Mathematical creativity: Usage of technology. Procedia – Social and Behavioral Sciences, 2(2), 1963–1967. https://doi.org/10.1016/j.sbspro.2010.03.264
Karadag, I. (2023, May 12). Why you should have a wall clock: 10 benefits of wall clocks. Mclocks. https://www.mclocks.store/blogs/news/benefits-of-wall-clocks
Kaya, A. (n.d.). How to construct the Spiral of Theodorus?. Abacus. https://abakcus.com/diy/how-to-construct-the-spiral-of-theodorus/
Kociemba, H. (n.d.). The spiral of Theodorus. https://kociemba.org/themen/spirale/theodorus.html
Kozlowski, J. S., Chamberlin, S. A., & Mann, E. (2019). Factors that influence mathematical creativity. The Mathematics Enthusiast, 16(1–3), 505–540. https://doi.org/10.54870/1551-3440.1471
Li, Y., Kim, M., & Palkar, J. (2022). Using emerging technologies to promote creativity in education: A systematic review. International Journal of Educational Research Open, 3, Article 100177. https://doi.org/10.1016/j.ijedro.2022.100177
Mackenzie, M. (2020, December 28). Creativity in a world of technology: Does it exist?. Smashing Magazine. https://www.smashingmagazine.com/2020/12/creativity-technology/
Mama Teaches. (n.d.). Math project ideas for high school. https://mamateaches.com/math-project-ideas-for-high-school/
Math and Multimedia. (2013, June 7). Appreciating the beauty of circles and spheres. http://mathandmultimedia.com/2013/06/07/circles-and-spheres/
Meier, M. A., Ehrengruber, A., Spitzley, L., Eller, N., Reiterer, C., Rieger, M. ... Grabner, R. H. (2024). The prediction of mathematical creativity scores: Mathematical abilities, personality and creative self-beliefs. Learning and Individual Differences, 113, Article 102473. https://doi.org/10.1016/j.lindif.2024.102473
Mishra, P., Yadav, A., & Deep-Play Research Group. (2013). Rethinking technology & creativity in the 21st century. TechTrends, 57(3), 10–14. https://www.punyamishra.com/wp-content/uploads/2012/11/Mishra-indisciplined-learning-techtrends2.pdf
Muzaini, M., Rahayuningsih, S., Ikram, M., & Nasiruddin, F. A. Z. (2023). Student geometrical figure apprehension in geometry problem-solving using new auxiliary elements. International Journal of Educational Methodology, 9(1), 139–150. https://eric.ed.gov/?id=EJ1378714
Neubert, J. (2020, January 27). How to use modeling to engage students. Institute of Competition Sciences. https://www.competitionsciences.org/2020/01/27/how-to-use-math-modeling-to-engage-students/
Picha, G. (2018, October 17). Effective technology use in math classes. Edutopia. https://www.edutopia.org/article/effective-technology-use-math-class/
Pllana, D. (2021). Explore a real cartoon example. International Journal of Inspired Education, Science and Technology (IJIEST), 3(1), 8–20. https://www.stsir.org/Journals/IJIEST/publications/Vol_3_1_Papers/IJIEST_Paper_2.pdf
Pllana, D. (2023). Mathematics unplugged and digitized: Bridging traditional and tech-driven approaches. In E. Hajrizi (Ed.), UBT International Conference (Article 19). University for Business and Technology. https://knowledgecenter.ubt-uni.net/conference/IC/EDU/19
Polypad. (n.d.). Spiral of Theodorus. Amplify Education. https://polypad.amplify.com/lesson/spiral-of-theodorus
Project-Based Learning Network. (2024, March 28). What is an effective and engaging project-based learning (PBL)?. https://www.amybaeder.com/what-is-effective-and-engaging-project-based-learning-pbl/?gad_
Raja, R., & Nagasubramani, P. C. (2018). Impact of modern technology in education. Journal of Applied and Advanced Research, 3(1), 33–35. https://doi.org/10.21839/jaar.2018.v3iS1.165
Raut, D. B., & Pant, B. P. (2024). Headteachers’ perspectives and practices on transformative learning in schools: A narrative inquiry. Journal of Vishwa Adarsha College, 1(1), 97–117. https://doi.org/10.3126/jovac.v1i1.68061
Santos, R., Santiago, A., & Cruz, C. (2024). Problem posing and problem solving in primary school: Opportunities for the development of different literacies. Education Sciences, 14(1), Article 97. https://doi.org/10.3390/educsci14010097
Saefudin, A. A., Wijaya, A., & Dwiningrum, S. I. A. (2023). Mapping research trends in mathematical creativity in mathematical instructional practices: A bibliometric analysis. Journal of Pedagogical Research, 7(4), 439–458. https://doi.org/10.33902/JPR.202322691
Satell, G. (2014, January 27). How technology enhances creativity. Forbes. https://www.forbes.com/sites/gregsatell/2014/01/27/how-technology-enhances-creativity/
Sawyer, R. K., & Henriksen, D. (2024). Explaining creativity: The science of human innovation (3rd ed.). Oxford University Press. https://doi.org/10.1093/oso/9780197747537.001.0001
Spencer, J. (2021, February 12). Austin Kleon on the surprising truths about creativity. https://spencerauthor.com/austin-kleon-on-the-surprising-truths-about-creativity/
Sriraman, B. (2004). The characteristics of mathematical creativity. The Mathematics Educator, 14(1), 19–34. https://ojs01.galib.uga.edu/tme/article/view/1868
Subanji, S., & Nusantara, T. (2022). Mathematical creative model: Theory framework and application in mathematics learning activities. In D. Ortega-Sánchez (Ed.), Active Learning-Research and Practice for STEAM and Social Sciences Education. IntechOpen. https://doi.org/10.5772/intechopen.106187
Sullivan, F. R. (2017). Creativity, technology, and learning: Theory for classroom practice. New York: Routledge. https://doi.org/10.4324/9781315765143
Swim, P., & Goel, A. (2022, November 15). The juggling act: Balancing technology and creativity together for a greater impact. Ogilvy. https://www.ogilvy.com/ideas/juggling-act-balancing-technology-creativity-together-greater-impact
Think Grow Giggle. (n.d.). How to incorporate open ended math problems. http://www.thinkgrowgiggle.com/2021/01/how-to-incorporate-open-ended-math.html
Webb, M. E., Little, D. R., & Cropper, S. J. (2021). Unusual uses and experiences are good for feeling insightful, but not for problem solving: contributions of schizotypy, divergent thinking, and fluid reasoning, to insight moments. Journal of Cognitive Psychology, 33(6–7), 770–792. https://doi.org/10.1080/20445911.2021.1929254
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2024 authors

This work is licensed under a Creative Commons Attribution 4.0 International License.
