Education Quarterly Reviews
ISSN 2621-5799
Published: 20 December 2021
Let’s do the Math… About Creativity and Mathematical Reasoning: A Correlational Study in Primary School Children
Maria Elide Vanutelli, Giulia Pirovano, Chiara Esposto, Claudio Lucchiari
Università degli Studi di Milano, Italy
Download Full-Text Pdf
10.31014/aior.1993.04.04.406
Pages: 445-454
Keywords: Creativity, Mathematics, Divergent Thinking, Convergent Thinking, Humor
Abstract
Mathematics, being a very ancient discipline, is usually seen as a formal subject that must be learned for school purposes, which is very far from creativity and fun. Also, mathematical skills are often considered a talent, so students are easily divided into gifted and not gifted, with a focus on speed and accuracy rather than encouraging the process of juggling between divergent and convergent thinking. In the present paper, we aimed at investigating the relationship between mathematical reasoning and different aspects of creative thinking, such as divergent and convergent creativity, aesthetic appreciation, and humor. To do so, 146 second and third graders in a primary school in Milan have been recruited and tested with mathematical and creative tasks. Correlational analyses showed significant positive relations between flexibility and originality dimensions of creativity and mathematical performance. Results are discussed by providing a theoretical framework about the relation between mathematics and creative skills.
References
Alfonso-Benlliure, V., Meléndez, J. C., & García-Ballesteros, M. (2013). Evaluation of a creativity intervention program for preschoolers. Thinking Skills and Creativity, 10, 112–120. https://doi.org/10.1016/j.tsc.2013.07.005
Antonietti, A., & Cerioli, L. (1991). La creatività infantile. Le prestazioni in prove di pensiero creativo in funzione dell’età, del sesso e del somministratore. Contributi Del Dipartimento Di Psicologia Dell’Università Cattolica Del Sacro Cuore, 5, 33–51.
Antonietti, A., & Pizzingrilli, P. (2009). Come sviluppare la creatività nei bambini: le indicazioni di un programma di ricerca. Synergies Europe, 4, 151–166.
Baer, J., & Kaufman, J. C. (2008). Gender differences in creativity. Journal of Creative Behavior, 42(2), 75–105. https://doi.org/10.1002/j.2162-6057.2008.tb01289.x
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. https://doi.org/https://doi.org/10.46328/ijemst.1254 252
Chapman, O. (2008). Narratives in mathematics teacher education. In International Handbook of Mathematics Teacher Education: Volume 2(pp. 13–38). Brill Sense.
Cinque, M. (2010). Creativity as a personal innovation: Theories and educational perspectives. Giornale Italiano Della Ricerca Educativa, 3, 95–113.
D’Amore, B. (2007). La didattica della matematica, oggi. 2007). La Matematica e La Sua Didattica. Atti Del I Convegno Nazionale, Giulianova (Te), 4–5.
D’Amore, B., & Sbaragli, S. (2014). Parliamo tanto e spesso di didattica della matematica. In B. D’amore & S. Sbaragli (Eds.), Incontri con la matematica. Bologna: Pitagora.
De Vecchi Galbiati, P., Folgieri, R., Lucchiari, C. (2017). Math empowerment: a multidisciplinary example to engage primary school students in learning mathematics. Journal of pedagogic development, 7(3), 44-58.
Diamond, A. (2012). Activities and programs that improve children’s executive functions.Current Directions in Psychological Science, 21(5), 335–341. https://doi.org/10.1177/0963721412453722
Gersten, R., Jordan, N. C., & Flojo, J. R. (2005). Early identification and interventions for students with mathematics difficulties. Journal of Learning Disabilities, 38(4), 293–304. https://doi.org/https://doi.org/10.1177/00222194050380040301
Giannoli, F. (2012). Logica e creatività: la matematica “bifronte” (e divertente). Tema, Bricks, 2, 34–41.
Goff, K. (2002). Abbreviated Torrance test for adults: Manual. Scholastic Testing Service Bensenville, IL.
Götz, K. (1985). Visual Aesthetic Sensitivity Test (VAST). Düsseldorf: Concept Verlag.
Gundry, L. K., Kickul, J. R., & Prather, C. W. (1994). Building the creative organization. Organizational Dynamics, 22(4), 22–37. https://doi.org/https://doi.org/10.1016/0090-2616(94)90076-0
Haylock, D. W. (1987). Mathematical creativity in schoolchildren. The Journal of Creative Behavior, 21(1), 48–59. https://doi.org/https://doi.org/10.1002/j.2162-6057.1987.tb00452.x
Lucchiari, C. (2018). Psychology at school. A practical-theoretical path. [Psicologia a scuola: un percorso pratico-teorico].Padova: Webster Editor.
Lucchiari, C., Sala, P. M., & Vanutelli, M. E. (2019). The effects of a cognitive pathway to promote class creative thinking. An experimental study on Italian primary school students. Thinking Skills and Creativity, 31. https://doi.org/10.1016/j.tsc.2018.12.002
McGowan, A. L., Bretzin, A. C., Savage, J. L., Petit, K. M., Parks, A. C., Covassin, T., & Pontifex, M. B. (2018). Preliminary evidence for differential trajectories of recovery for cognitive flexibility following sports-related concussion. Neuropsychology, 32(5), 564. https://doi.org/https://doi.org/10.1037/neu0000475
Minerva, F. P., & Vinella, M. (2012). La creatività a scuola. Gius. Laterza & Figli Spa.
Musna, R. R., & Juandi, D. (2020). An analysis of junior high school students’ creative thinking skills in solving flat-side geometry problems. In Journal of Physics: Conference Series(Vol. 1521, p. 32058). IOP Publishing. https://doi.org/10.1088/1742-6596/1521/3/032058
Pehkonen, E. (1997). The state-of-art in mathematical creativity. ZDM, 29(3), 63–67. https://doi.org/https://doi.org/10.1007/s11858-997-0001-z
Regier, P., & Savic, M. (2020). How teaching to foster mathematical creativity may impact student self-efficacy for proving. The Journal of Mathematical Behavior, 57, 100720.
Runco, M. A., Cramond, B., & Pagnani, A. R. (2010). Handbook of Gender Research in Psychology. Handbook of Gender Research in Psychology, 343–357. https://doi.org/10.1007/978-1-4419-1465-1
Sala, P. M., Vanutelli, M. E., & Lucchiari, C. (2019). Educating creative minds. The effects of a cognitive training for ideas production in primary school children. Ricerche Di Psicologia, 42(1). https://doi.org/10.3280/RIP2019-003005
Schoevers, E. M., Kroesbergen, E. H., & Kattou, M. (2020). Mathematical creativity: A combination of domain‐general creative and domain‐specific mathematical skills. The Journal of Creative Behavior, 54(2), 242–252. https://doi.org/https://doi.org/10.1002/jocb.361
Sprini, G., & Tomasello, S. (1989). Torrance Tests of Creative Thinking (Test di pensiero Creativo). Firenze, Italy: Giunti O. S. Organizzazioni Speciali.
Sriraman, B. (2004). The characteristics of mathematical creativity. The Mathematics Educator, 14(1).
Stad, F. E., Van Heijningen, C. J. M., Wiedl, K. H., & Resing, W. C. M. (2018). Predicting school achievement: differential effects of dynamic testing measures and cognitive flexibility for math performance. Learning and Individual Differences, 67, 117–125. https://doi.org/https://doi.org/10.1016/j.lindif.2018.07.006
Tomasetto, C. (2013). Math for boys, Italian for girls: Gender stereotypes and attitudes toward school subjects among parents and children. [Matematica per i maschi, italiano per le femmine: Stereotipi di genere e atteggiamenti verso le materie scolastiche tra genitori e figli. IN-MIND ITALIA, 5, 19–24.
Torrance, E. P. (1998). The Torrance tests of creative thinking norms-technical manual figural (streamlined) forms A & B.Bensenville, IL: Scholastic Testing Service, Inc.
Winnicott, D. W. (1971). Therapeutic consultations in child psychiatry. London: Hogarth Press and the Institure of Psycho-Analysis.
Yaftian, N. (2015). The outlook of the Mathematicians’ Creative Processes. Procedia-Social and Behavioral Sciences, 191, 2519–2525. https://doi.org/https://doi.org/10.1016/j.sbspro.2015.04.617