Improving children’s skills to read, understand and solve mathematical problems through Spaced Learning
DOI:
https://doi.org/10.7347/EdL-02-2025-02Keywords:
reading comprehension, mathematical problem solving, Spaced Learning, neuroscience, case studyAbstract
Reading comprehension is a key tool for solving a mathematical problem. Before mobilizing a set of mathematical skills, it is essential that students construct an adequate semantic representation of the text-problem, to start the problem-solving process effectively and consciously. To mediate the gap between the two processes of comprehension and problem-solving, we chose to employ Spaced Learning, a teaching methodology that leverages some scientifically validated memory principles. Spaced Learning makes learning more meaningful, long-lasting and engaging because it transcends the rigid organization of lessons characterized by long and often impractical timeframes, which do not reflect the way the brain learns. According to the case study, integrated by a pre-experimental study, we structured and implemented a teaching intervention in a primary school classroom. The aim of the project was to promote children’s reading comprehension text so they could solve mathematical problems; the activities were planned and conducted using active breaks, as required by Spaced Learning. The quantitative analysis of the learning outcomes shows the positive effects of the proposed and developed action, while recognizing many limitations and critical issues.
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References
Anello, F. (2019). Esercizi di lettura e scrittura. Sviluppo di abilità di pensiero critico nella scuola primaria. Pensa Multimedia.
Anello, F. (2024). Spaced Learning. In G. Ferrara & F. Anello (Eds.), Spaced Learning nella scuola primaria. Sperimentazione didattica tra competenze di base, attività motorie, inclusione (pp. 31–54). FrancoAngeli.
Blair, C., & Razza, R. P. (2007). Relating Effortful Control, Executive Function, and False Belief Understanding to Emerging Math and Literacy Ability in Kindergarten. Child Development, 78(2), 647–680. https://doi.org/10.1111/j.1467-8624.2007.01019.x
Brousseau, G. (1986). Fondements et méthodes de la didactique des mathématiques. Recherches En Didactique Des Mathématiques, 7(2), 33–115.
Cain, K., Barnes, M. A., Bryant, P. E., & Oakhill, J. V. (2001). Comprehension Skill, Inference-Making Ability, and the Relation to Knowledge. Memory & Cognition, 29(6), 850–859. https://doi.org/10.3758/BF03196414
Cain, K., Oakhill, J., & Bryant, P. (2004). Children's Reading Comprehension Ability: Concurrent Prediction by Working Memory, Verbal Ability, and Component Skills. Journal of Educational Psychology, 96(1), 31–42.
Capobianco, R. (2021). Innovazione didattica e neuroeducazione ai tempi del Covid-19: La sperimentazione dello Spaced Learning (SL). Giornale Italiano di Educazione alla Salute, Sport e Didattica Inclusiva, 5(2), 178–186. https://doi.org/10.32043/gsd.v5i2.380
Caprino, F., Garzia, M., Tosi, L., & Moscato, G. (2016). Avanguardie educative: Linee guida per l’implementazione dell’idea “Spaced learning (Apprendimento intervallato)”. Indire.
Cardarello, R., & Bertolini, C. (2020). Didattiche della comprensione del testo. Metodi e strumenti per la scuola primaria. Carocci.
Carpenter, S. K., Cepeda, N. J., Rohrer, D., Kang, S. H., & Pashler, H. (2012). Using Spacing to Enhance Diverse Forms of Learning: Review of Recent Research and Implications for Instruction. Educational Psychology Review, 24, 369–378. https://doi.org/10.1007/s10648-012-9205-z
Carretti, B., Borella, E., Cornoldi, C., & De Beni, R. (2009). Role of Working Memory in Explaining the Performance of Individuals with Specific Reading Comprehension Difficulties: A Meta-Analysis. Learning and Individual Differences, 19(2), 246–251. https://doi.org/10.1016/j.lindif.2008.10.002
Cummins, D. D. (1991). Children’s Interpretations of Arithmetic Word Problems. Cognition and Instruction, 8(3), 261–289. https://doi.org/10.1207/s1532690xci0803_2
Cummins, D. D., Kintsch, W., Reusser, K., & Weimer, R. (1988). The Role of Understanding in Solving Word Problems. Cognitive Psychology, 20(4), 405–438. https://doi.org/10.1016/0010-0285(88)90011-4
D’Amore, B. (2002). La ricerca in Didattica della Matematica come Epistemologia dell’apprendimento della Matematica. Scuola & Città, 4, 56–82.
D’Amore, B. (2014). Il problema di matematica nella pratica didattica. Digital Index.
D’Amore, B., & Martini, B. (1997). Contratto didattico, modelli mentali e modelli intuitivi nella risoluzione di problemi scolastici standard. La matematica e la sua didattica, 2, 150–175.
Dehaene, S. (2007). Les Neurones de la lecture. Éditions Odile Jacob.
Demartini, S., & Sbaragli, S. (2019). La porta di entrata per la comprensione di un problema: la lettura del testo. Didattica della matematica. Dalla ricerca alle pratiche d’aula, 5, 9–43. https://doi.org/10.33683/ddm.18.5.1
Di Paola, B. & Giannola, A. (2024). Effetti dello Spaced Learning sull’apprendimento matematico di base. In G. Ferrara & F. Anello (Eds.), Spaced Learning nella scuola primaria. Sperimentazione didattica tra competenze di base, attività motorie, inclusione (pp. 170–197). FrancoAngeli.
Ebbinghaus, H. (1913). Memory: A Contribution to Experimental Psychology. Columbia University.
Fields, R. D. (2005). Making Memories Stick. Scientific American, 292(2), 75–81. https://www.jstor.org/stable/26060881
Franchini, E., Lemmo, A., & Sbaragli, S. (2017). Il ruolo della comprensione del testo nel processo di matematizzazione e modellizzazione. Didattica della matematica. Dalla ricerca alle pratiche d’aula, 1, 38–63. https://doi.org/10.33683/ddm.17.1.3
Garzia, M., & Pianese, E. (2020). Formare nelle piccole scuole. Formazione & Insegnamento. Rivista internazionale di Scienze dell’educazione e della formazione, 18(3), 233–243. https://doi.org/10.7346/-feis-XVIII-01-20_20
Hofstadter, D., & Sander, E. (2013). Surfaces and Essences: Analogy as the Fuel and Fire of Thinking. Basic Books.
Kang, S. H. K. (2016). Spaced Repetition Promotes Efficient and Effective learning: Policy Implications for Instruction. Policy Insights from the Behavioral and Brain Sciences, 3(1), 12–19. https://doi.org/10.1177/2372732215624708
Kelley, P. (2007). Making Minds: What's Wrong with Education - and What Should We Do About it?. Routledge.
Kelley, P., & Whatson, T. (2013). Making Long-Term Memories in Minutes: A Spaced Learning Pattern from Memory Research in Education. Frontiers in Human Neuroscience, 589(7), 1–9. https://doi.org/10.3389/fnhum.2013.00589
Kendeou, P., Broek, P., Helder, A., & Karlsson, J. (2014). A Cognitive View of Reading Comprehension: Implications for Reading Difficulties. Learning Disabilities Research & Practice, 29(1), 10–16. https://doi.org/10.1111/ldrp.12025
Kintsch, W. (1998). Comprehension: A Paradigm for Cognition. Cambridge University Press.
Kintsch, W., & van Dijk, T. A. (1978). Toward a Model of Text Comprehension and Production. Psychological Review, 85(5), 363–394. https://doi.org/10.1037/0033-295X.85.5.363
Kramár, E. A., Babayan, A. H., Gavin, C. F., Cox, C. D., Jafari, M., Gall, C. M., Rumbaugh, G., & Lynch, G. (2012). Synaptic Evidence for the Efficacy of Spaced Learning. Proceedings of the National Academy of Sciences of the United States of America, 109(13), 5121–5126. https://doi.org/10.1073/pnas.1120700109
Lucangeli, D., Tressoldi, P. E., & Cendron, M. (2003). SPM - Abilità di soluzione dei problemi matematici. Erickson.
Lumbelli, L. (2009). La comprensione come problema. Il punto di vista cognitivo. Laterza.
Menichetti, L., & Bertolini, C. (2019). La prova qualitativa per la valutazione della capacità di riassunto: il Summary Qualitative Assessment (SQA). In A. Calvani & L. Chiappetta Cajola (Eds.), Strategie per la comprensione del testo. L’efficacia del Reciprocal Teaching (pp. 431–462). SApIE.
Merrill, M. D. (2002). First Principles of Instruction. Educational Technology, Research and Development, 50(3), 43–59. https://doi.org/10.1007/BF02505024
Nobile, A. (2023). Nuova pedagogia della letteratura giovanile. Scholé.
Oakhill, J., Cain, K., & Elbro, C. (2014). Understanding and Teaching Reading Comprehension. Routledge.
OECD (2013). PISA 2012 Assessment and Analytical Framework: Mathematics, Reading, Science, Problem Solving and Financial Literacy. OECD Publishing.
Oliverio, A. (2018). Attenzione e apprendimento: conoscere come si sviluppa e funziona il cervello può migliorare l’attenzione e l’apprendimento nelle scuole. RELAdEI. Revista Latinoamericana de Educación Infantil, 7(1), 61–66.
Perfetti, C. A., Landi, N., & Oakhill, J. (2005). The Acquisition of Reading Comprehension Skill. In M.J. Snowling, & C. Hulme (Eds.), The Science of Reading: A Handbook (pp. 227–247). Blackwell Publishing.
Phonapichat, P., Wongwanich, S., & Sujiva, S. (2014). An Analysis of Elementary School Students’ Difficulties in Mathematical Problem Solving. Procedia - Social and Behavioral Sciences, 116, 3169–3174. https://doi.org/10.1016/j.sbspro.2014.01.728
Proudfoot, D. E. (2016). The Effect of a Reading Comprehension Software Program on Student Achievement in Mathematics. The International Journal of Cognitive Research in Science, Engineering and Education, 4(1), 39–47. https://doi.org/10.5937/IJCRSEE1601039P
Radvansky, G. A., Zwaan, R. A., Curiel, J. M., & Copeland, D. E. (2001). Situation Models and Aging. Psychology and Aging, 16(1), 145–160. https://doi.org/10.1037/0882-7974.16.1.145
Roccella, M. (2019). Neuropsichiatria dell’infanzia e dell’adolescenza. Piccin.
Savage, R., Lavers, N., & Pillay, V. (2007). Working Memory and Reading Difficulties: What we Know and what we Don’t Know about the Relationship. Educational Psychology Review, 19(2), 185–221. https://doi.org/10.1007/s10648-006-9024-1
Scharf, M. T., Woo, N. H., Lattal, K. M., Young, J. Z., Nguyen, P. V., & Abel, T. (2002). Protein Synthesis is Required for the Enhancement of Long-Term Potentiation and Long-Term Memory by Spaced Training. Journal of Neurophysiology, 87(6), 2770–2777. https://doi.org/10.1152/jn.2002.87.6.2770
Schoenfeld, A. H. (1992). Learning to Think Mathematically: Problem Solving, Metacognition, and Sense-Making in Mathematics. In D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning (pp. 334–370). Macmillan.
Siegel, L. (1994). Working Memory and Reading: A Life-Span Perspective. International Journal of Behavioral Development, 17(1), 109–124. https://doi.org/10.1177/016502549401700107
Trinchero, R., & Piacenza, S. (2020). Un percorso formativo alla comprensione del testo matematico, dai 5 ai 14 anni. Didattica Della Matematica. Dalla Ricerca Alle Pratiche d’aula, 7, 50–74. https://doi.org/10.33683/ddm.20.7.3
Ulu, M. (2017). The Effect of Reading Comprehension and Problem-Solving Strategies on Classifying Elementary 4th Grade Students with High and Low Problem-Solving Success. Journal of Education and Training Studies, 5(6), 88–95. https://doi.org/10.11114/jets.v5i6.2391
Versteeg, M., Hendriks, R. A., Thomas, A., Ommering, B. W. C., & Steendijk, P. (2020). Conceptualising Spaced Learning in Health Professions Education: A Scoping Review. Medical Education, 54, 205–216. https://doi.org/10.1111/medu.14025
Wolf, M. (2018). Reader, Come Home: The Reading Brain in a Digital World. Harper.
Zan, R. (2016). I problemi di matematica. Difficoltà di comprensione e formulazione del testo. Carocci Faber.
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