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Research Article

Joining the Math Circus: exploring advanced mathematics through collaborative hands-on activities and performative storytelling

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References

  • Abel, T., & McQueen, D. (2021). Critical health literacy in pandemics: The special case of COVID-19. Health Promotion International, 36(5), 1473–1481. https://doi.org/10.1093/heapro/daaa141
  • Anderson, M. (2014). The challenge of post-normality to drama education and applied theatre. Research in Drama Education: The Journal of Applied Theatre and Performance, 19(1), 110-120.
  • Anderson, M. (2022). Evolution, diffusion and disturbance: Drama, education and technology. In P. O’Connor (Ed.), The routledge companion to drama in education (pp. 513–523). Taylor & Francis.
  • Arneja, C., & Tyagi, Dr. S. (2020). The importance of using stories for teaching-learning of mathematical concepts. International Journal of Advanced Academic Studies, 2(4), 499–503. https://doi.org/10.33545/27068919.2020.v2.i4h.445
  • Ashcraft, M. H. (2002). Math anxiety: Personal, educational, and cognitive consequences. Current Directions in Psychological Science, 11(5), 181–185. https://doi.org/10.1111/1467-8721.00196
  • Auckly, D. (2019). Inspiring mathematics: Lessons from the Navajo Nation math circles (B. Klein, A. Serenevy, T. Shubin, & D. Auckly, Eds.). Mathematical Sciences Research Institute; Providence, Rhode Island.
  • Bergen, D. (2014). Foundations of play theory. In L. Brooker, M. Blaise, & S. Edwards (Eds.), The SAGE handbook of play and learning in early childhood (pp. 9–20). Sage Reference.
  • Bicer, A. (2021). A systematic literature review: Discipline-specific and general instructional practices fostering the mathematical creativity of students. International Journal of Education in Mathematics, Science and Technology, 9(2), 252-281.
  • Boaler, J. (2016). Mistakes grow your brain. Youcubed at Stanford University Graduate School of Education. Retrieved April 14, 2016.
  • Boaler, J., & Humphreys, C. (2005). Connecting mathematical ideas. Heinemann Educational Books.
  • Bochner, A. P. (2018). Unfurling rigor: On continuity and change in qualitative inquiry. Qualitative Inquiry, 24(6), 359–368. https://doi.org/10.1177/1077800417727766
  • Bonner, J. (2017). Islamic geometric patterns: Their historical development and traditional methods of construction. Springer New York.
  • Booth, D. (1994). Story drama: Reading, writing, and roleplaying across the curriculum. Markham, ON: Pembroke Publishers.
  • Braun, V. & Clarke, V. (2013). Teaching thematic analysis: Overcoming challenges and developing strategies for effective learning. The Psychologist, 26(2), 120-123.
  • Braun, V., & Clarke, V. (2020). Can I use TA? Should I use TA? Should I not use TA? Comparing reflexive thematic analysis and other pattern-based qualitative analytic approaches. Counselling and Psychotherapy Research, 21(1), 37–47. https://doi.org/10.1002/capr.12360
  • Braun, V., & Clarke, V. (2021). Conceptual and design thinking for thematic analysis. Qualitative Psychology, 9(1), 3–26. https://doi.org/10.1037/qup0000196
  • Braun, V., & Clarke, V. (2022). Thematic analysis: A practical guide. Sage Publications.
  • Brown, E. T., Castner, E., Davis, S., O’Shea, E., Seryozhenkov, E., & Vargas, A. J. (2019). On the equivalence of playfair’s axiom to the parallel postulate. Journal of Geometry, 110(2). https://doi.org/10.1007/s00022-019-0496-9
  • Cannon, J. W., Floyd, W. J., Kenyon, R., & Parry, W. R. (1997). Hyperbolic geometry. In S. Levy (Ed.), Flavors of geometry. Cambridge University Press. https://openlibrary.org/books/OL304758M/Flavors_of_geometry
  • Carpenter, T. P., Fennema, E., Franke, M. L., Levi, L., & Empson, S. B. (2015). Children’s mathematics: Cognitively guided instruction (2nd Revised ed. Edition). Heinemann. (Original work published 1999)
  • Chemi, T. (2018). A theatre laboratory approach to pedagogy and creativity. Palgrave Macmillan. https://doi.org/10.1007/978-3-319-62788-5.
  • Chen, G. A., & Horn, I. S. (2022). A call for critical bifocality: Research on marginalization in mathematics education. Review of Educational Research, 92(5), 786–828. https://doi.org/10.3102/00346543211070050
  • Ching, C. D., & Roberts, M. T. (2022). Crafting a racial equity practice in college math education. Journal of Diversity in Higher Education, 15(4), 401–405. https://doi.org/10.1037/dhe0000379
  • Cilli-Turner, E., El Turkey, H., Karakok, G., Savic, M., & Tang, G. (2020). Special issue – creativity in mathematics: Foreword. Journal of Humanistic Mathematics, 10(2), 3–5. https://doi.org/10.5642/jhummath.202002.03
  • Cooper, R., & Lilyea, B. (2022). I’m interested in autoethnography, but how do I do it? The Qualitative Report, 27(1). https://doi.org/10.46743/2160-3715/2022.5288
  • Creswell, J. W., & Poth, C. N. (2018). Qualitative inquiry & research design: Choosing among five approaches (4th ed.). Sage, Cop.
  • de Bruijn, N. G. (1981a). Algebraic theory of penrose's non-periodic tilings of the plane. I. Indagationes Mathematicae (Proceedings), 84(1), 39–52. https://doi.org/10.1016/1385-7258(81)90016-0
  • de Bruijn, N. G. (1981b). Algebraic theory of penrose's non-periodic tilings of the plane. II. Indagationes Mathematicae (Proceedings), 84(1), 53–66. https://doi.org/10.1016/1385-7258(81)90017-2
  • Dockett, S., & Perry, B. (2008). Young children’s access to powerful mathematical ideas. In M. G. Bartolini (Ed.), Handbook of international research in mathematics education (pp. 81–112). Routledge. https://researchoutput.csu.edu.au/ws/portalfiles/portal/9990920
  • Doolittle, P. E. (2019). Vygotsky’s zone of proximal development as a theoretical foundation for cooperative learning. Journal on Excellence in College Teaching, 8(1), 83–103. https://eric.ed.gov/?id=EJ577702
  • Drach, K., & Schwartz, R. E. (2020). A hyperbolic view of the seven circles theorem. The Mathematical Intelligencer, 42(2), 61–65. https://doi.org/10.1007/s00283-019-09952-1
  • Edmiston, B. (2012). Dramatic inquiry and anti-oppressive teaching. Youth Theatre Journal, 26(2), 105–119. https://doi.org/10.1080/08929092.2012.722906
  • Edmiston, B., & Towler-Evans, I. (2022). Humanizing education with dramatic inquiry: In dialogue with dorothy heathcote’s transformative pedagogy. Routledge.
  • Ekwueme, C., Ekon, E., & Ezenwa-Nebife, D. (2015). The impact of hands-on-approach on student academic performance in basic science and mathematics. Higher Education Studies, 5(6), 47. https://doi.org/10.5539/hes.v5n6p47
  • Fels, L. & Belliveau, G. A. (2008). Exploring curriculum: Performative inquiry, role drama, and learning. Vancouver, BC: Pacific Educational Press.
  • Fleming, M. (2017). Starting drama teaching. Routledge.
  • Freire, P. (1970). Pedagogy of the oppressed. Seabury Press.
  • G4G, Inc. (2014). Martin gardner centennial 1914-2014. Martin-Gardner.org; Gathering 4 Gardner, Inc. http://martin-gardner.org/index.html
  • Gardner, M. (1977). Mathematical games. Scientific American, 237(3), 24–45. https://www.jstor.org/stable/24920314
  • Goodman-Strauss, C. (2021, October 16). Math Circus (Á. H. Jóhannesdóttir, Interviewer) [Personal communication]. Interview is part of the interviewer’s PhD research project at the University of Iceland.
  • Goodman-Strauss, C. (2022, May 8). Math Circus (Á. H. Jóhannesdóttir, Interviewer) [Personal communication]. Interview is part of the interviewer’s PhD research project at the University of Iceland.
  • Gresalfi, M., Horn, I., Jasien, L., Wisittanawat, P., Ma, J., Radke, S., Guyevskey, V., Sinclair, N., & Sfard, A. (2018). Playful mathematics learning: Beyond early childhood and sugar- coating. ICLS. https://par.nsf.gov/servlets/purl/10109807
  • Harriss, E. (2011, January 20). Stars in the snow. Maxwell’s Demon. https://maxwelldemon.com/2011/01/20/stars-in-thesnow/.
  • Harriss, E. (2020). Gauss-Bonnet Sculpting. Archive.bridgesmathart.org. https://archive.bridgesmathart.org/2020/bridges2020-137.html
  • Heathcote, D., & Bolton, G. M. (1995). Drama for learning dorothy heathcote’s mantle of the expert approach to education. Portmouth, Nh Heinemann.
  • Hizume, A. (n.d.). vitae-akio. Starcage.org. Retrieved March 29, 2022, from http://starcage.org/englishvitae.html
  • Hogue, M. (2021, September 2). Honors College will present “Math Circus.” Superhero Teacher Tool Kit. https://www.superheroteachertoolkit.com/honors-college-will-present-math-circus/
  • Holt, N. L. (2003). Representation, legitimation, and autoethnography: An autoethnographic writing story. International Journal of Qualitative Methods, 2(1), 18–28. https://doi.org/10.1177/160940690300200102
  • Horn, I. S. (2017). Motivated: Designing math classrooms where students want to join in. Heinemann.
  • Hussein, Y. F. (2022). Conceptual knowledge and its importance in teaching mathematics. Middle Eastern Journal of Research in Education and Social Sciences, 3(1), 50–65. https://doi.org/10.47631/mejress.v3i1.445
  • Jasien, L. (2020, June). Designing for playful math engagement across learning environments. In Repository.isls.org. International society of the learning sciences (ISLS). https://repository.isls.org/handle/1/6355.
  • Jasien, L., & Horn, I. S. (2018, July). “Ohhh, now I can do it!”: school-age children’s spontaneous mathematical sensemaking in construction play. Repository.isls.org, vol. 1. https://repository.isls.org//handle/1/912.
  • Jennings, M. (2016). Crows on the wire: Intermediality in applied drama and conflict transformation – ‘humanising’ the police in northern Ireland. Research in Drama Education: The Journal of Applied Theatre and Performance, 21(3), 418–430. https://doi.org/10.1080/13569783.2016.1194194
  • Karami, S., & Parra-Martinez, F. A. (2021). Foolishness of COVID-19: Applying the polyhedron model of wisdom to understand behaviors in a time of crisis. Roeper Review, 43(1), 42–52. https://doi.org/10.1080/02783193.2020.1840467
  • Kettler, T., Lamb, K. N., & Puryear, J. (2021). Developing creativity in the classroom (1st Edition 2018). Routledge.
  • Kettler, T., Lamb, K. N., Willerson, A., & Mullet, D. R. (2018). Teachers’ perceptions of creativity in the classroom. Creativity Research Journal, 30(2), 164–171. https://doi.org/10.1080/10400419.2018.1446503
  • Knorr, W. R., Gray, J. J., Folkerts, M., Fraser, C. G., & Berggren, J. L. (2019). Mathematics: Definition & history. In Encyclopædia Britannica. https://www.britannica.com/science/mathematics
  • Kostick. (n.d.). Star History. KO Sticks LLC | Geometric Structures by John and Jane Kostick. Retrieved May 2, 2022, from http://www.kosticks.com/star-history.html 
  • Kozlowski, J. S., & Si, S. (2019). Mathematical creativity: A vehicle to foster equity. Thinking Skills and Creativity, 33(100579), 1–8. https://doi.org/10.1016/j.tsc.2019.100579.
  • Kukey, E., Gunes, H., & Genc, Z. (2019). Experiences of classroom teachers on the use of hands-on material and educational software in math education. World Journal on Educational Technology: Current Issues, 11(1), 74–86. https://eric.ed.gov/?id=ej1205395
  • Le Roux, C. S. (2016). Exploring rigour in autoethnographic research. International Journal of Social Research Methodology, 20(2), 195–207. http://doi.org/10.1080/13645579.2016.1140965
  • Levine, D. (2021). The math circus town crier’s opening prose [performance]. University of Arkansas Math Circus.
  • Levine, D., & Steinhardt, P. J. (1984). Quasicrystals: A new class of ordered structures. Physical Review Letters, 53(26), 2477–2480. https://doi.org/10.1103/physrevlett.53.2477
  • Lewis, F. P. (1920). History of the parallel postulate. The American Mathematical Monthly, 27(1), 16–23. https://doi.org/10.2307/2973238
  • Lu, P. J., & Steinhardt, P. J. (2007). Decagonal and quasi-crystalline tilings in medieval islamic architecture. Science, 315, 1106–1110. https://doi.org/10.1126/science.1135491
  • Murtagh, E. M., Sawalma, J., & Martin, R. (2022). Playful maths! The influence of play-based learning on academic performance of Palestinian primary school children. Educational Research for Policy and Practice, 21 (3), 407–426. https://doi.org/10.1007/s10671-022-09312-5
  • Neelands, J. (1984). Making sense of drama: A guide to classroom practice. Heinemann.
  • Nurjanah, N., Dahlan, J. A., & Wibisono, Y. (2021). The effect of hands-on and computer-based learning activities on conceptual understanding and mathematical reasoning. International Journal of Instruction, 14(1), 143–160. https://doi.org/10.29333/iji.2021.1419a
  • O’Neill, C. (1995). Drama worlds: A framework for process drama. Pearson Education Canada.
  • O’Neill, C. (2015). Dorothy heathcote: On education and drama: Essential writings. London [Etc.] Routledge.
  • Orakci, Ş. (2021). Exploring the relationships between cognitive flexibility, learner autonomy, and reflective thinking. Thinking Skills and Creativity, 41, 100838. https://doi.org/10.1016/j.tsc.2021.100838
  • O’Toole, J. (2016). The process of drama: Negotiating art and meaning. Routledge. (Originally published in 1992).
  • Padilla, J. E. (2022, July 1). Penrose tiling arrangements of traditional Islamic decagonal motifs. Archive.bridgesmathart.org. https://archive.bridgesmathart.org/2022/bridges2022-143.html#gsc.tab=0
  • Papert, S. (1980). Mindstorms: Children, computers, and powerful ideas. Harvester Press.
  • Parks, A. N. (2020). Creating joy in PK–grade 2 mathematics classrooms. Mathematics Teacher: Learning and Teaching PK-12, 113(1), 60–63. https://doi.org/10.5951/mtlt.2019.0250
  • Penrose, R. (1979). Pentaplexity a class of non-periodic tilings of the plane. The Mathematical Intelligencer, 2(1), 32–37. https://doi.org/10.1007/bf03024384
  • Piazzoli, E. (2014). Process drama: The use of affective space to reduce language anxiety in the additional language learning classroom. Drama Education and Second Language Learning, 16(4), 77-93.
  • Piazzoli, E. (2022). The elements of drama in second language education: An intercultural perspective. Routledge. Www.tara.tcd.ie; http://www.tara.tcd.ie/handle/2262/99594
  • Pound, L., & Lee, T. (2021). Teaching mathematics creatively. Routledge. https://doi.org/10.4324/9781003055396
  • Quiroga, S. S. (2015, May 28). Performative storytelling as knowledge creation. Conference: Hypatia conference: Exploring collaborative contestations and diversifying philosophy. https://www.researchgate.net/publication/307882043_Performative_Storytelling_as_Knowledge_Creation.
  • Radin, C. (2021). Conway and aperiodic tilings. The Mathematical Intelligencer, 43(2), 15–20. https://doi.org/10.1007/s00283-020-10038-6
  • Ravindran, R. (2007). Euclid’s fifth postulate. Resonance, 12(4), 26–36. https://doi.org/10.1007/s12045-007-0036-z
  • Reyhanipoor, S., Soleymani, Z., & Ghojehzadeh, A. (2022). Evaluating the effect of storyline theme on cognitive learning development of children and adolescents. CIENCIA UNEMI, 15(39), 54–59. https://doi.org/10.29076/issn.2528-7737vol15iss39.2022pp54-59p
  • Riling, M. (2020). Recognizing mathematics students as creative: Mathematical creativity as community-based and possibility-expanding. Journal of Humanistic Mathematics, 10(2), 6–39. https://doi.org/10.5642/jhummath.202002.04
  • Robinson, D., & Koshy, V. (2015). Creative mathematics: Allowing caged birds to fly. In R. Fisher & M. Williams (Eds.), Unlocking creativity (pp. 68–81). Routledge. First published in 2004.
  • Sachdeva, S. (2019, February). Students’ experiences of learner autonomy in mathematics classes. In U. T. Jankvist, M. van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), HAL Archives Ouvertes; Freudenthal Group. Eleventh Congress of the European Society for Research in Mathematics Education, Utrecht University, Utrecht, Netherlands. HAL Archives Ouvertes; Freudenthal Group. https://hal.archives-ouvertes.fr/hal-02421636/.
  • Sakai, S., & Arita, R. (2019). Exotic pairing state in quasicrystalline superconductors under a magnetic field. Physical Review Research, 1(2). https://doi.org/10.1103/physrevresearch.1.022002
  • Schattschneider, D. (2021). John conway, tilings, and me. The Mathematical Intelligencer, 43(2), 124–129. https://doi.org/10.1007/s00283-021-10062-0
  • Schindler, M., & Lilienthal, A. J. (2022). Students’ collaborative creative process and its phases in mathematics: An explorative study using dual eye tracking and stimulated recall interviews. ZDM – Mathematics Education, 54, 163–178. https://doi.org/10.1007/s11858-022-01327-9
  • Segarra, V. A., Natalizio, B., Falkenberg, C. V., Pulford, S., & Holmes, R. M. (2018). STEAM: Using the arts to train well-rounded and creative scientists. Journal of Microbiology & Biology Education, 19(1). https://doi.org/10.1128/jmbe.v19i1.1360
  • Shechtman, D., Blech, I., Gratias, D., & Cahn, J. W. (1984). Metallic phase with long-range orientational order and no translational symmetry. Physical Review Letters, 53(20), 1951–1953. https://doi.org/10.1103/physrevlett.53.1951
  • Smolucha, L., & Smolucha, F. (2021). Vygotsky’s theory in-play: Early childhood education. Early Child Development and Care, 191(7-8), 1041–1055. https://doi.org/10.1080/03004430.2020.1843451
  • Starr, L. J. (2010). The use of autoethnography in educational research: Locating who we are in what we do. Canadian Journal for New Scholars in Education/ Revue Canadienne Des Jeunes Chercheures et Chercheurs En Éducation, 3(1). https://jmss.org/index.php/cjnse/article/view/30477
  • Su, F. E. (2020). Mathematics for human flourishing. New Haven; London Yale University Press. Contributor: Christopher Jackson
  • Thorkelsdóttir, R. B. (2018). Margbrotið hlutverk leiklistarkennarans í kennslu leiklistar í tengslum við innleiðingu á leiklist. Netla – veftímarit um uppeldi og menntun. Sérrit 2018 – Bókmenntir, listir og grunnþættir menntunar, Sérrit 2018 – Bókmenntir, listir og grunnþættir menntunar., 17 s. https://doi.org/10.24270/serritnetla.2019.20
  • Thorkelsdóttiró, R. B., & Jónsdóóttir, J. G. (Eds.) (2022). Performance and performativity. Aalborg Universitetsforlag. Research in Higher Education Practices
  • Tomlinson, B. (2016). SLA research and materials development for language learning. Routledge.
  • UA Honors College. (2022, March 9). Experience the beauty of mathematics in “courtyard curvahedra.” University of Arkansas News. https://news.uark.edu/articles/59280/experience-the-beauty-of-mathematics-in-courtyard-curvahedra-
  • van de Water, M. (2021). Drama in education: Why drama is necessary 98, 02009. SHS Web Conf. (Education and City), 24–26 August, 2020. https://doi.org/10.1051/shsconf/20219802009.
  • van Oers, B. (2010). Emergent mathematical thinking in the context of play. Educational Studies in Mathematics, 74(1), 23–37. https://doi.org/10.1007/s10649-009-9225-x
  • van Oers, B. (2013). Is it play? Towards a reconceptualisation of role play from an activity theory perspective. European Early Childhood Education Research Journal, 21(2), 185–198. https://doi.org/10.1080/1350293x.2013.789199
  • Walsh, C., Chappell, K., & Craft, A. (2017). A co-creativity theoretical framework to foster and evaluate the presence of wise humanising creativity in virtual learning environments (VLEs). Thinking Skills and Creativity, 24, 228–241. https://doi.org/10.1016/j.tsc.2017.01.001
  • Weinhandl, R., & Lavicza, Z. (2021). Real-World modelling to increase mathematical creativity. Journal of Humanistic Mathematics, 11(1), 265–299. https://doi.org/10.5642/jhummath.202101.13
  • Winston, J. (1998). Drama, narrative and moral education: Exploring traditional tales in the primary years. Falmer Press.
  • Yan, X., Yan, W. Q., Liu, L., & Lu, Y. (2020). Penrose tiling for visual secret sharing. Multimedia Tools and Applications, 79(43-44), 32693–32710. https://doi.org/10.1007/s11042-020-09568-0
  • Yeh, C., Martinez, R., Rezvi, S., & Shirude, S. (2021). Radical love as praxis. Journal of Urban Mathematics Education, 14(1), 71–95. https://doi.org/10.21423/jume-v14i1a418
  • Yeh, C., & Otis, B. (2019). Mathematics for whom: Reframing and humanizing mathematics. Occasional Paper Series, (41). https://educate.bankstreet.edu/occasional-paper-series/vol2019/iss41/8/

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