Creating learning environments with origami: Experiences of pre-service mathematics teachers
Derya Özlem Yazlık 1, İbrahim Çetin 2 *
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1 Nevşehir Hacı Bektaş Veli University, Faculty of Education, Nevşehir, Türkiye
2 Necmettin Erbakan University, Ahmet Keleşoğlu Faculty Education, Konya, Türkiye
* Corresponding Author

Abstract

Using origami in the classroom, this study examines the experiences of pre-service middle school mathematics teachers. A case study model was employed in this study as a qualitative research approach. The study involved 39 senior pre-service mathematics teachers. Document analysis, semi-structured interviews, and observation techniques were used to collect data using the triangulation method. Content analysis was used to analyze the data. During their micro-teaching with origami, pre-service teachers preferred learning outcomes focused on geometry. Most participants used origami to teach learning outcomes that were appropriate to their grade levels and learning outcomes. Throughout all the lesson plans prepared according to the 5E model, origami was used to construct mathematical concepts during the exploration step.  While some groups utilized origami folding techniques to explore geometric structures, others used rulers or goniometers instead, indicating that origami is partially effective. In order to improve teacher training programs, more practice should be given with origami-based visual proofs of geometric structures. In addition to contributing to professional and personal development, the participants' opinions showed that this process was beneficial to them. Students struggled to explain origami's steps, as well as selecting models and exploring concepts with origami. For pre-service teachers to overcome these challenges, more time must be allocated during their practicum process within the teaching practice courses so that they can practice teaching mathematics with origami in real classroom settings.

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References

  • Akan-Sağöz, D. (2008). Teaching fraction by the help of origami at sixth grade students in primary school [Unpublished Master’ Thesis]. Atatürk University, Erzurum.
  • Akayuure, P., Asiedu-Addo, S. K., & Alebna, V. (2016). Investigating the effect of origami instruction on preservice teachers’ spatial ability and geometric knowledge for teaching. International Journal of Education in Mathematics, Science and Technology, 4(3), 198. https://doi.org/10.18404/ijemst.78424
  • Arıcı, S., & Aslan-Tutak, F. (2015). The effect of origami-based instruction on spatial visualization, geometry achievement, and geometric reasoning. International Journal of Science and Mathematics Education, 13(1), 179–200. https://doi.org/10.1007/S10763-013-9487-8
  • Arslan, O. (2012). Investigating beliefs and perceived self-efficacy beliefs of prospective elementary mathematics teachers towards using origami in mathematics education [Unpublished Master’s Thesis]. Middle East of Technical University, Ankara.
  • Arslan, O., & Isiksal-Bostan, M. (2016). Turkish prospective middle school mathematics teachers’ beliefs and perceived self-efficacy beliefs regarding the use of origami in mathematics education. Eurasia Journal of Mathematics Science and Technology Education, 12(6), 1533–1548. https://doi.org/10.12973/eurasia.2016.1243a
  • Arslan, O., Işiksal-Bostan, M., & Şahin, E. (2013). The development of belief scale about using origami in mathematics education. Hacettepe University Journal of Education, 28(2), 44–57.
  • Arslan, O., & Işıksal-Bostan, M. (2016). Origami in mathematics education: the development and validation of an origami-related self-efficacy scale. Elementary Education Online, 15(2), 548–559. https://doi.org/10.17051/IO.2016.06024
  • Avcu, S., & Avcu, R. (2019). The lived experiences of prospective middle school mathematics teachers in an origami course. Mehmet Akif Ersoy University Journal of Education, 50, 136–166. https://doi.org/10.21764/MAEUEFD.482716
  • Baicker, K. (2004). Origami Math: Grades 2-3. Teaching Resources.
  • Beech, R. (2009). The practical illustrated encyclopedia of origami:The complete guide to the art of paperfolding. Lorenz Book.
  • Boakes, N. J. (2006). The effects of Origami lessons on students’ spatial visualization skills and achievement levels in a seventh-grade classroom [Unpublished Doctoral Disserration]. Temple University, Philadelphia.
  • Boakes, N. J. (2008). Origami-mathematics lessons: Paper folding as a teaching tool. Mathitudes, 1(1), 1–9.
  • Boakes, N. J. (2009). Origami instruction in the middle school mathematics classroom: its impact on spatial visualization and geometry knowledge of students. Research in Middle Level Education Online, 32(7), 1–12. https://doi.org/10.1080/19404476.2009.11462060
  • Boakes, N. J. (2015). Origami instruction in the middle school mathematics classroom: its impact on spatial visualization and geometry knowledge of students. Research in Middle Level Education (RMLE Online), 32(7), 1–12. https://doi.org/10.1080/19404476.2009.11462060
  • Boz-Yaman, B., & Bulut, S. (2019). Stakeholders experiences of using 5E learning cycle approaching teaching of Euler’s formula. Bolu Abant Izzet Baysal University Journal of Education Faculty, 19(3), 836–852. https://doi.org/10.17240/aibuefd.2019.19.49440-632076
  • Budinski, N., Lavicza, Z., & Fenyvesi, K. (2018). Ideas for using GeoGebra and origami in teaching regular polyhedrons lessons. K-12 STEM Education, 4(1), 297–303.
  • Cagle, M. (2009). Modular origami in the secondary geometry classroom. In Lang R J (Ed.), Origami 4: International meeting of origami science, math, and education (pp. 497–506). A K Peters/CRC Press. https://doi.org/10.1201/B10653-49
  • Cakmak, S., Isiksal, M., & Koc, Y. (2013). Investigating effect of origami-based instruction on elementary students’ spatial skills and perceptions. The Journal of Educational Research, 107(1), 59–68. https://doi.org/10.1080/00220671.2012.753861
  • Cañadas, M., Molina, M., Gallardo, S., Martínez-Santaolalla, M., & Peñas, M. (2010). Let´s teach geometry. Mathematics Teaching, 218, 32–37.
  • Çaylan, B., Masal, M., Masal, E., Takunyacı, M., & Ergene, Ö. (2018). Investigating the relationship between prospective elementary mathematics teachers’ van hiele geometric thinking levels and beliefs towards using origami in mathematics education in mathematics with origami course. Journal of Multidisciplinary Studies in Education, 1(1), 24–35.
  • Chen, K. (2006). Math in motion: Origami math for students who are deaf and hard of hearing. The Journal of Deaf Studies and Deaf Education, 11(2), 262–266. https://doi.org/10.1093/deafed/enj019
  • Cipoletti, B., & Wilson, N. (2004). Turning origami into the language of mathematics. Mathematics Teaching in the Middle School, 10(1), 26–31. https://doi.org/10.5951/mtms.10.1.0026
  • Coad, L. (2006). Paper folding in the middle school classroom and beyond. Australian Mathematics Teacher, 62(1), 6–13.
  • Cornelius, V., & Tubis, A. (2009). On the effective use of origami in the mathematics classroom. In R. J. Lang (Ed.), Origami 4: International meeting of origami science, math, and education (pp. 519–528). A K Peters/CRC Press. https://doi.org/10.1201/b10653-50
  • Demaine, E. D., & O’Rourke, J. (2007). Geometric folding algorithms: Linkages, origami, Polyhedra. Cambridge University Press.
  • DeYoung, M. J. (2009). Math in the box. Mathematics Teaching in the Middle School, 15(3), 134–141. https://doi.org/10.5951/MTMS.15.3.0134
  • Doğan, M., & Bayraktar-Kurt, E. (2021). A study on associating of origami with the concepts and acquisitions in the mathematics curriculum. OPUS International Journal of Society Research, 18(41), 3237–3259. https://doi.org/10.26466/opus.834525
  • Duatepe-Paksu, A. (2016). View of examining quadrilaterals by paper folding. Journal of Inquiry Based Activities, 6(2), 80–88.
  • Duatepe-Paksu, A., & Boz-Yaman, B. (2018). The effect of origami studies on pre-service teachers’ spatial abilities and beliefs on the use of origami in mathematics lesson [Paper presentation]. Cemil Meriç 10. Social Sciences and Sports Congress, Hatay.
  • Ergene, Ö., Masal, M., Masal, E., & Takunyacı, M. (2017). Investigating prospective elementary mathematics teachers’ skills of relating origami to topics in mathematics curriculum. Journal of Human Sciences, 14(4), 3780. https://doi.org/10.14687/JHS.V14I4.4965
  • Fenyvesi, K., Budinski, N., & Lavicza, Z. (2014). Two solutions to an unsolvable problem: connecting origami and GeoGebra in a Serbian high school. In G. H. Greenfield & R. Sarhangi (Eds.), Mathematics, music, art, architecture, culture (pp. 95–102). Tessellations Publishing.
  • Fiol, M. L., Dasquens, N., & Prat, M. (2011). Student teachers introduce origami in kindergarten and primary schools: Froebel revisited. Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education, 151–164. https://doi.org/10.1201/b10971-17
  • Franco, B. (1999). Unfolding mathematics with unit origami. Key Curriculum Press.
  • Georgeson, J. (2011). Fold in origami and unfold math. Mathematics Teaching in the Middle School, 16(6), 354–361. https://doi.org/10.5951/MTMS.16.6.0354
  • Golan, M., & Jackson, P. (2009). Origametria: A program to teach geometry and to develop learning skills using the art of origami. In R. J. Lang (Ed.), Origami 4: Fourth international meeting of origami science, mathematics and education (pp. 459–469). A K Peters, Ltd.
  • Gür, H., & Kobak-Demir, M. (2017). Geometry teaching via origami: The views of secondary mathematics teacher trainees. Journal of Education and Practice, 8(15), 65-71.
  • Hacısalihoğlu-Karadeniz, M. (2017). Mathematics teaching via paper folding method. Elementary Education Online, 16(2), 663–692. https://doi.org/10.17051/ILKONLINE.2017.304726
  • Hacısalihoğlu-Karadeniz, M. (2020). Contributions and challenges of origami based teaching practices to prospective teachers. OPUS International Journal of Society Researches, 15(24), 2584–2614. https://doi.org/10.26466/OPUS.651290
  • Hartzler, S. J. (2003). Ratios of linear, area, and volume measures in similar solids. Mathematics Teaching in the Middle School, 8(5), 228–232. https://doi.org/10.5951/MTMS.8.5.0228
  • Higginson, W., & Colgan, L. (2001). Algebraic thinking through origami. Mathematics Teaching in the Middle School, 6(6), 343–349. https://doi.org/10.5951/MTMS.6.6.0343
  • Ida, T., Fepeneu, D., Buchberger, B., & Robu, J. (2004). Proving and constraint solving in computational origami. Lecture Notes in Computer Science, 3249, 132–142. https://doi.org/10.1007/978-3-540-30210-0_12/COVER/
  • Karakuş, F. (2014). Pre-service elementary mathematics teachers’ views about geometric construction. Journal of Theoretical Educational Science, 7(4), 408–435. https://doi.org/10.5578/keg.8091
  • Köğce, D. (2020). Use of origami in mathematics teaching: an exemplary activity. Asian Journal of Education and Training, 6(2), 2519–5387. https://doi.org/10.20448/journal.522.2020.62.284.296
  • Masal, M., Ergene, Ö., Takunyacı, M., & Masal, E. (2018). Prospective teachers’ views about using origami in mathematics lessons. International Journal of Educational Studies in Mathematics, 5(2), 56–65.
  • Mastin, M. (2007). Storytelling + Origami = Storigami mathematics. Teaching Children Mathematics, 14(4), 206–212. https://doi.org/10.5951/TCM.14.4.0206
  • Merriam, S. B., & Tisdell, E. J. (2015). Qualitative research: A guide to design and implementation. Jossey-Bass.
  • Miles, M. B., & Huberman, A. M. (1994). Qualitative data analysis: An expanded source book. Sage.
  • Ministry of National Education [MoNE]. (2005). İlkogretim matematik dersi ogretim programi 1–5. siniflar: Ogretim programi ve kilavuzu [Elementary school mathematics curriculum, Grades 1–5]. Author.
  • Ministry of National Education [MoNE]. (2013). Middle school mathematics program (Grade 5-8). Author.
  • National Council of Teachers of Mathematics [NCTM]. (2000). Principles and standards for school mathematics. In National Council of Teachers of Mathematics (Issue 2). Author.
  • Pagni, D. (2007). Paper folding fractions. Australian Mathematics Teacher, 63(4), 37–40.
  • Respitawulan, R., & Afrianti, N. (2019). Limited trial on origami construction as mathematics learning strategy for early childhood on kindergarten teachers. Journal of Physics: Conference Series, 1375(1), 012073. https://doi.org/10.1088/1742-6596/1375/1/012073
  • Robichaux, R. R., & Rodrigue, P. R. (2003). Using origami to promote geometric communication. Mathematics Teaching in the Middle School, 9(4), 222–229. https://doi.org/10.5951/MTMS.9.4.0222
  • Serra, M. (1994). Patty paper geometry. Key Curriculum Press.
  • Shalev, H. (2005). Origami in education and therapy. Theragam.com- New York's Educational Therapeutic.
  • Shumakov, K., & Shumakov, Y. (2000). Left brain and right brain at origami training. Retrieved January 20, 2023 from https://www.oriland.com/oriversity/lecture.php?category=benefitsveID=02#Intro
  • Sickel, A. J., & Friedrichsen, P. (2015). Beliefs, practical knowledge, and context: a longitudinal study of a beginning biology teacher’s 5E unit. School Science and Mathematics, 115(2), 75–87. https://doi.org/10.1111/SSM.12102
  • Spreafico, M. L. (2017). Activities in mathematics course for undergraduate students: from origami to software [Paper presentation]. 9th International Conference on Education and New Learning Technologies, Barcelona, Spain. https://doi.org/10.21125/edulearn.2017
  • Spreafico, M. L., & Tramuns, E. (2019, December 21). Origami, art and mathematics at school [Paper presentation]. 12th Annual International Conference of Education, Research and Innovation, Seville, Spain. https://doi.org/10.21125/ICERI.2019.1128
  • Sze, S. (2005). An analysis of constructivism and the ancient art of origami. Retrieved December 22, 2022 from http://www.eric.ed.gov/PDFS/ED490350.pdf
  • Toyib, M., & Ishartono, N. (2018). An analysis of the possibility of origami implementation in mathematics learning process in Indonesia [Paper presentation]. 2nd International Conference on Education Innovation, Surabaya, Indonesia. https://doi.org/10.2991/ICEI-18.2018.32
  • Tuğrul, B., & Kavici, M. (2002). Kağıt katlama sanatı origami ve öğrenme [The art of paper folding origami and learning]. Pamukkale University Journal of Education, 1(11), 1–17.
  • Ünan, Z., Aksan, Z., & Çelikler, D. (2017). Pre-Service elementary mathematics teachers’ awarenesses about origami [Paper presentation]. IVth International Eurasian Educational Research (EJER) Congress, Denizli. https://www.researchgate.net/publication/317505879
  • Wares, A. (2012). Appreciation of mathematics through origami. International Journal of Mathematical Education in Science and Technology, 44(2), 277–283. https://doi.org/10.1080/0020739X.2012.678902
  • Wares, A. (2015). Mathematical thinking and origami. International Journal of Mathematical Education in Science and Technology, 47(1), 155–163. https://doi.org/10.1080/0020739X.2015.1070211
  • Wares, A., & Valori, G. (2020). Origami at the intersection of algebra, geometry and calculus. International Journal of Mathematical Education in Science and Technology, 52(7), 1108–1112. https://doi.org/10.1080/0020739X.2020.1819576
  • Whiteley, W. (2005). Exploring the parallelogram through symmetry. Retrieved July 11, 2022 from https://www.researchgate.net/file.PostFileLoader.html?id=570b9e5348954c2531105bcb&assetKey=AS%3A349669944250371%401460379219747
  • Yin, R. K. (2008). Case study research: Design and methods. Sage.
  • Yoshioka, R. (1963). Fold paper to learn geometry. The Science News-Letter, 83(9), 138–139.

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