Development Research Framework for Designing Functions Class Using Desmos
DOI:
https://doi.org/10.57125/FED.2023.12.25.05Keywords:
Desmos, Development Research Framework, Functions, Technology-Enhanced LearningAbstract
Technology-enhanced learning aids are playing a more and bigger role in the constantly changing world of mathematics education. This paper introduced a comprehensive research framework aiming to revolutionise the design of functions classes through innovative Desmos application. The main goal was to develop research framework for Functions classes utilising Desmos as a tool. To actively involve students in the learning process of the framework, creative approaches for incorporating this technology tool into the curriculum were offered. Its interactive and dynamic characteristics were specifically highlighted. The framework was built on the ideas of design-based research and included iterative planning, design, implementation, and evaluation procedures. In the given investigation, the challenges faced by educators in teaching Functions, including the need for increased student engagement and the difficulty in visualising abstract mathematical concepts were uncovered. Significant findings from this study reveal that the integration of Desmos into Functions classes significantly improves student engagement, fosters a deeper understanding of mathematical concepts, and promotes problem-solving skills. Moreover, educators reported increased enthusiasm among students and a more enjoyable learning experience. The implications of this study are profound for the future of mathematics education. By harnessing the potential of Desmos, educators can design dynamic, captivating, and productive functions classes that align closely with curriculum objectives. Our findings demonstrated that Desmos can be a catalyst for more engaging and effective mathematics instruction, thereby shaping a brighter future for students and educators alike.
References
Abidin, Z., Utomo, A., Pratiwi, V., & Farokhah, L. (2020). Project-based learning - Literacy in improving students’ mathematical reasoning abilities in elementary schools. JMIE (Journal of Madrasah Ibtidaiyah Education), 4(1), 39–52. https://doi.org/10.32934/jmie.v4i1.170
Abu, Y., & Kribushi, R. (2022). Can electronic board increase the motivation of students to study mathematics?. Contemporary Educational Technology, 14(3), Article ep364. https://doi.org/10.30935/cedtech/11807
Abykanova, B., Nugumanova, S., Yelezhanova, S., Kabylkhamit, Z., & Sabirova, Z. (2016). The use of interactive learning technology in institutions of higher learning. International journal of environmental and science education, 11(18), 12528–12539. https://eric.ed.gov/?id=EJ1124626
Bell, C., Wilson, S., Higgins, T., & McCoach, D. (2010). Measuring the effects of professional development on teacher knowledge: The case of developing mathematical ideas. Journal for Research in Mathematics Education, 41(5), 479–512. https://doi.org/10.5951/JRESEMATHEDUC.41.5.0479
Black, P., & Wiliam, D. (1998). Assessment and classroom learning. Assessment in Education: Principles, Policy & Practice, 5(1), 7–74. http://dx.doi.org/10.1080/0969595980050102
Bock, D., Dooren, W., & Verschaffel, L. (2015). Students’ understanding of proportional, inverse proportional, and affine functions: two studies on the role of external representations. International Journal of Science and Mathematics Education, 13, 47–69. https://doi.org/10.1007/S10763-013-9475-Z
Bossé, M., Adu-Gyamfi, K., & Chandler, K. (2014). Students' differentiated translation processes. International Journal for Mathematics Teaching and Learning, 15, 1–28.
Bruner, J. S. (1966). Toward a theory of instruction. Harvard University Press.
Chamberlin, M., & Powers, R. (2010). The promise of differentiated instruction for enhancing the mathematical understandings of college students. Teaching Mathematics and Its Applications, 29(3), 113–139. https://doi.org/10.1093/TEAMAT/HRQ006
Chandrasegaran, A., Treagust, D., & Mocerino, M. (2008). An evaluation of a teaching intervention to promote students’ ability to use multiple levels of representation when describing and explaining chemical reactions. Research in Science Education, 38, 237–248. https://doi.org/10.1007/S11165-007-9046-9
Dewi, D. A. K., & Peni, N. R. N. (2023, August). Desmos as a bridge in learning functions in Indonesia secondary level: A literature review. In F. Nurhasanah & R. Sri Padmi (Eds.), Proceedings of the 7th International symposium on mathematics education and innovation (ISMEI 2022) (pp. 126–132). Atlantis Press. https://doi.org/10.2991/978-94-6463-220-0_14
Elia, I., Panaoura, A., Eracleous, A., & Gagatsis, A. (2007). Relations between secondary pupils’ conceptions about functions and problem solving in different representations. International Journal of Science and Mathematics Education, 5, 533–556. https://doi.org/10.1007/S10763-006-9054-7
Etyarisky, V., & Marsigit, M. (2022). The effectiveness of interactive learning multimedia with a contextual approach to student’s understanding mathematical concepts. Al-Ishlah: Jurnal Pendidikan, 14(3), 3101–3110. https://doi.org/10.35445/alishlah.v14i3.941
Francisco, J. (2013). Learning in collaborative settings: students building on each other’s ideas to promote their mathematical understanding. Educational Studies in Mathematics, 82, 417–438. https://doi.org/10.1007/S10649-012-9437-3
Fries, L., Son, J.Y., Givvin, K.B., & Stigler, J.W. (2020). Practicing connections: A framework to guide instructional design for developing understanding in complex domains. Educational Psychology Review, 33(2), 739–762. https://doi.org/10.1007/s10648-020-09561-x
Gavin, M., Casa, T., Adelson, J., Carroll, S., & Sheffield, L. (2009). The impact of advanced curriculum on the achievement of mathematically promising elementary students. Gifted Child Quarterly, 53(3), 188–202. https://doi.org/10.1177/0016986209334964
Goldin, G. A. (1998). Representational systems, learning, and problem solving in mathematics. The Journal of Mathematical Behavior, 17(2), 137–165. https://doi.org/10.1016/S0364-0213(99)80056-1
Goos, M., Galbraith, P., Renshaw, P., & Geiger, V. (2003). Perspectives on technology mediated learning in secondary school mathematics classrooms. The Journal of Mathematical Behavior, 22(1), 73–89. https://doi.org/10.1016/S0732-3123(03)00005-1
Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students’ learning. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371–404). Information Age Publishing.
Johnson, D. W., & Johnson, R. T. (2009). An educational psychology success story: Social interdependence theory and cooperative learning. Educational Researcher, 38(5), 365–379. https://doi.org/10.3102/0013189X09339057
Kanandjebo, L., & Lampen, E. (2022). Teaching mathematics meaningfully with technology: Design principles for professional development. African Journal of Research in Mathematics, Science and Technology Education, 26(2), 142–152. https://doi.org/10.1080/18117295.2022.2106072
Leatham, K., & Peterson, B. (2010). Secondary mathematics cooperating teachers’ perceptions of the purpose of student teaching. Journal of Mathematics Teacher Education, 13, 99–119. https://doi.org/10.1007/S10857-009-9125-0
Lesh, R. A., Hoover, M., Hole, B., Kelly, A., & Post, T. (2000). Principles for developing thought revealing activities for students and teachers. In A. Kelly & R. Lesh (Eds.), Handbook of research in mathematics and science education (pp. 113–149). Routledge.
Lim, F., & Nguyen, T. (2022). Design-based research approach for teacher learning: a case study from Singapore. ELT Journal, 76(4), 452–464. https://doi.org/10.1093/ELT/CCAB035
Long, H., & Bouck, E. (2022). Calculators and online games: Supporting students with learning disabilities in mathematics. Intervention in School and Clinic, 58(4), 280–286. https://doi.org/10.1177/10534512221093787
Lundin, S. (2012). Hating school, loving mathematics: On the ideological function of critique and reform in mathematics education. Educational Studies in Mathematics, 80, 73–85. https://doi.org/10.1007/S10649-011-9366-6
McKenney, S., & Reeves, T. (2012). Conducting educational design research. Routledge. https://doi.org/10.4324/9781315105642
Molina, M., Castro, E., & Castro, E. (2007). Teaching experiments within design research. The International Journal of Interdisciplinary Social Sciences: Annual Review, 2(4), 435–440. https://doi.org/10.18848/1833-1882/CGP/V02I04/52362
Moskofoglou Chionidou, M., & Vamvouli A. (2019). Comparative study and evaluation of dominant external representational systems in mathematical education. New Trends and Issues Proceedings on Humanities and Social Sciences, 6(7), 223–230.
Nesher, P., & Teubal, E. (1975). Verbal cues as an interfering factor in verbal problem solving. Educational Studies in Mathematics, 6, 41–51. https://doi.org/10.1007/BF00590023
Park, D., Gunderson, E., Tsukayama, E., Levine, S., & Beilock, S. (2016). Young children's motivational frameworks and math achievement: Relation to teacher-reported instructional practices, but not teacher theory of intelligence. Journal of Educational Psychology, 108(3), 300–313. https://doi.org/10.1037/EDU0000064
Piaget, J. (1972). Psychology and epistemology: Towards a theory of knowledge. The Viking Press.
Reeves, T. C. (2006). Design research from a technology perspective. In J. van den Akker, K. Gravemeijer, S. McKenney, & N. Nieveen (Eds.), Educational design research. Routledge.
Rose, D. H., & Meyer, A. (2002) Teaching every student in the digital age: Universal design for learning. ASCD. https://eric.ed.gov/?id=ED466086
Ruiz-Ramos, M., & Kinkead-Clark, Z. (2022). An action research on the effectiveness of technology as a teaching tool utilized by teachers in developing students’ interest and mathematics performance. Caribbean Journal of Education, 43(2), 133–160. https://doi.org/10.46425/c064302h7438
Shechtman, N., Roschelle, J., Haertel, G., & Knudsen, J. (2010). Investigating links from teacher knowledge, to classroom practice, to student learning in the instructional system of the middle-school mathematics classroom. Cognition and Instruction, 28(3), 317–359. https://doi.org/10.1080/07370008.2010.487961
Svitek, S., Annuš, N., & Filip, F. (2022). Math can be visual — Teaching and understanding arithmetical functions through visualization. Mathematics, 10(15), Article 2656. https://doi.org/10.3390/math10152656
Tall, D., & Bakar, M. (1992). Students' mental prototypes for functions and graphs. International Journal of Mathematical Education in Science and Technology, 23(1), 39–50. https://doi.org/10.1080/0020739920230105
Tan, S., Clivaz, S., & Sakamoto, M. (2023). Presenting multiple representations at the chalkboard: bansho analysis of a Japanese mathematics classroom. Journal of Education for Teaching, 49(4), 630–647. https://doi.org/10.1080/02607476.2022.2150538
Thompson, A. (1984). The relationship of teachers' conceptions of mathematics and mathematics teaching to instructional practice. Educational Studies in Mathematics, 15, 105–127. https://doi.org/10.1007/BF00305892
Tokanov, M., Damekova, S., Kuttykozhayeva, S., Abdoldinova, G., & Smagulov, Y. (2023). Information and communication technology integration and teaching mathematics in higher education. Journal on Mathematics Education, 13(4), 739–752. https://doi.org/10.22342/jme.v13i4.pp739-752
Tomlinson, C. A. (2014) The differentiated classroom: Responding to the needs of all learners (2nd ed.). ASCD. https://files.ascd.org/staticfiles/ascd/pdf/siteASCD/publications/books/differentiated-classroom2nd-sample-chapters.pdf
Vygotsky, L. S. (1978). Mind in society: Development of higher psychological processes (M. Cole, V. Jolm-Steiner, S. Scribner, & E. Souberman, Eds.). Harvard University Press. https://doi.org/10.2307/j.ctvjf9vz4
Wood, D. J., Bruner, J. S., & Ross, G. (1976). The role of tutoring in problem solving. Journal of Child Psychiatry and Psychology, 17(2), 89–100. http://dx.doi.org/10.1111/j.1469-7610.1976.tb00381.x
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2023 authors

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