Adaptation and Validation of a Scale of Self-Regulation of Learning in Mathematical Problem Solving

Authors

DOI:

https://doi.org/10.15359/ru.38-1.34

Keywords:

mathematical learning, self-regulation, problem solving, elementary education grade, teacher training

Abstract

[Objective] This work aims to adapt and validate a scale that measures the level of self-regulation in mathematical problem-solving contexts of teachers in initial training in primary education. [Methodology] For sample selection, non-probabilistic convenience or incidental sampling was used. A total of 269 first-year primary education undergraduate degree students at the University of the Basque Country (UPV/EHU) in the 2020–2021 academic year participated in the validation process of the adapted scale. The type of research conducted is descriptive. Data were analyzed using the SPSS statistical software. [Results] The Cronbach's alpha coefficient value of 0.884 revealed a consistent internal reliability. Likewise, to test the factor structure of the scale, an exploratory factor analysis was conducted, obtaining a Kaiser-Meyer-Olkin (KMO) index of 0.836 > 0.7 and a p= 0.000<0.05 in the Bartlett test of sphericity. It also indicated a seven-factor structure: students' perceptions of their ability and how these perceptions influence self-regulation of the resolution process; ethics, problem-solving and personal growth; attitude towards the statement; negative self-efficacy beliefs; external causal attribution; problem-solving methods; and the social environment. [Conclusions] The latent structure provided by the exploratory factor analysis agrees with the classification of items established a priori and allows for the orientation of the confirmatory factor analysis that provides continuity to the research.

References

Alguacil, M., Boqué, M., & Pañellas, M. (2016). Dificultades en conceptos matemáticos básicos de los estudiantes para maestro. International Journal of Developmental and Educational Psychology. Revista INFAD de Psicología, 1(1), 419-430. https://doi.org/10.17060/ijodaep.2016.n1.v1.162

Araya, R. G., & Moreira-Mora, T. E. (2016). Un modelo explicativo de las creencias y actitudes hacia las matemáticas: Un análisis basado en modelos de ecuaciones estructurales. Avances de Investigación en Educación Matemática, 10, 27-51. https://doi.org/10.35763/aiem.v0i10.155

Asensio Muñoz, I., Arroyo Resino, D., Ruiz-Lázaro, J., Sánchez-Munilla, M., Ruiz de Miguel, C., Constante-Amores, A., & Navarro-Asencio, E. (2022). Perfil de acceso a la universidad de los maestros en España [University access profile of teachers in Spain]. Educación XXI, 25(2), 39-63. https://doi.org/10.5944/educxx1.31924

Bembenutty, H., White, M. C., & Vélez, M. R. (2015). Developing Self-regulation of Learning and Teaching Skills among Teacher Candidates. New York, NY: Springer. https://doi.org/10.1007/978-94-017-9950-8

Boekaerts, M. (1997). Self-regulated learning: A new concept embraced by researchers, policy makers, educators, teachers, and students. Learning and instruction, 7(2), 161-186. https://doi.org/10.1016/S0959-4752(96)00015-1

Boaler, J. (2016). Mathematical mindsets: Unleashing students' potential through creative math, inspiring messages and innovative teaching. John Wiley & Sons.

Caballero, A., Cárdenas, J., & Gordillo, F. (2016). La intervención en variables afectivas hacia las matemáticas y la resolución de problemas matemáticos. El MIRPM. In J. A. Macías, A. Jiménez, J. L. González, M. T. Sánchez, P. Hernández, C. Fernández, F. J. Ruiz, T. Fernández y A. Berciano (Eds.), Investigación en Educación Matemática XX (pp.75-91). Málaga: SEIEM.

Callan, G.L. (2014). Self-regulated Learning (SRL) Microanalysis for Mathematical Problem Solving: A Comparison of a SRL Event Measure, Questionnaires, and a Teacher Rating Scale. Theses and Dissertations. 557. https://dc.uwm.edu/etd/557

Chen, Q., & Lo, J. (2019). Preservice Teachers’ Mathematics Anxiety and Mathematics Teacher Efficacy: The Roles of Anticipatory Emotions and Regulatory Strategies. Journal of Teacher Education, 70(3), 267-283.

Cleary, T. J., & Chen, P. P. (2009). Self-regulation, motivation, and math achievement in middle school: Variations across grade level and math context. Journal of School Psychology, 47(5), 291-314. https://doi.org/10.1016/j.jsp.2017.04.004

Cleary, T. J., Velardi, B., & Schnaidman, B. (2017). Effects of the Self-Regulation Empowerment Program (SREP) on middle school students' strategic skills, self-efficacy, and mathematics achievement. Journal of School Psychology, 64, 28-42. https://doi.org/10.1016/j.jsp.2017.04.004

Dignath, C., & Büttner, G. (2018). Components of fostering self-regulated learning among students. A meta-analysis on intervention studies at primary and secondary school level. Metacognition and Learning, 13(2), 169-195.

Döhrmann, M., Kaiser, G., & Blömeke, S. (2014). The conceptualisation of mathematics competencies in the international teacher education study TEDS-M. In S. Blömeke, F. J. Hsieh, G. Kaiser and W. H. Schmidt (Eds.), International Perspectives on Teacher Knowledge, Beliefs and Opportunities to Learn (pp. 431- 456). Drodrecht, Países Bajos: Springer. https://doi.org/10.1007/978-94-007-6437-8_20

Efklides, A. (2011). Interactions of metacognition with motivation and affect in self-regulated learning: The MASRL model. Educational Psychologist, 46(1), 6-25. https://doi.org/10.1080/00461520.2011.538645

Fernández-Gago, J., & Marbán, J. M. (2022). Diseño y validación de un instrumento para medir autorregulación en el alumnado de secundaria en contextos de resolución de problemas. Manuscrito en preparación.

Formplus. (2021). La escala Likert de 4, 5 y 7 puntos + [Ejemplos de cuestionarios]. Retrieved May 3, 2021, from https://www.formpl.us/blog/point-likert-scale

García, J. E. (2019). La formación permanente del profesorado de matemáticas en primaria: una necesidad ignorada. Uno: revista de didáctica de las matemáticas. 83, 42-46

Gutiérrez-Gutiérrez, A., Gómez, P., & Rico, L. (2016). Conocimiento matemático sobre números y operaciones de los estudiantes de Magisterio [Mathematical knowledge of numbers and operations in spanish future primary teachers]. Educación XXI, 19(1), 135-158. https://doi.org/10.5944/educXX1.15581

Hadwin, A., Järvelä, S., & Miller, M. (2018). Self-regulation, co-regulation, and shared regulation in collaborative learning environments. In D. H. Schunk and J. A. Greene (Eds.), Handbook of self-regulation of learning and performance (pp. 83-106). Routledge/Taylor and Francis Group. https://doi.org/10.4324/9781315697048-6

Harding, S.-M., English, N., Nibali, N., Griffin, P., Graham, L., Alom, B., & Zhang, Z. (2019). Self-regulated learning as a predictor of mathematics and reading performance: A picture of students in grades 5 to 8. Australian Journal of Education, 63(1), 74-97. https://doi.org/10.1177/0004944119830153

INEE (2013). TEDS-M, Estudio Internacional sobre la formación inicial en matemáticas de los maestros. Informe Español. Volumen II. Análisis secundario. Madrid, MECD.

Karunakaran, M.S. (2020). Opportunities to decrease elementary prospective teachers’ mathematics anxiety. The Mathematics Enthusiast, 17(2-3), 469-492. https://doi.org/10.54870/1551-3440.1495

Lachapell, G. (2017). La formación didáctico matemática del docente de la República Dominicana. Transformación, 13(3), 327-337

Landa, J., Berciano, A., & Marbán, J. M. (2021). Autorregulación y resolución de problemas matemáticos en el alumnado del grado en Educación Primaria. In Diago, P. D., Yáñez D. F., González-Astudillo, M. T. y Carrillo, D. (Eds.), Investigación en Educación Matemática XXIV (p. 662). Valencia: SEIEM.

Luttenberger, S., Wimmer, S., & Paechter, M. (2018). Spotlight on math anxiety. Psychology Research and Behavior Management, 11, 311–322. https://doi.org/10.2147/prbm.s141421

Marbán, J.M., Palacios, A., & Maroto. (2021). A. Enjoyment of teaching mathematics among pre-service teachers. Mathematics Education Research Journal, 33(3), 613-629. https://doi.org/10.1007/s13394-020-00341-y

Marbán, J.M., & Fernández-Gago, J. (2022). Mathematical Problem Solving through the Lens of Ethics and Aristotelian Attitude: A Case Study. Mathematics 10, 2565. https://doi.org/10.3390/math10152565

Mizala, A., Martínez, S., & Martínez, F. (2015). Pre-service Elementary School Teachers’ Expectations about Student Performance: How their Beliefs are affected by their Mathematics Anxiety and Student’s Gender. Teaching and Teacher Education, 50, 70-78. https://doi.org/10.1016/j.tate.2015.04.006

Ministerio de Educación and Formación Profesional (2018). PISA 2018, Programa para la Evaluación Internacional de los Estudiantes. Informe español. Madrid. Recuperado de https://www.educacionyfp.gob.es/inee/evaluaciones-internacionales/pisa/pisa-2018.htm

Ministerio de Educación and Formación Profesional (2020). TIMSS 2019. Estudio internacional de tendencias en matemáticas y ciencias. Informe español. Ministerio de Educación y Formación Profesional.

Muñoz-Fernández, G.A., Rodríguez-Gutiérrez, P., & Luque-Vílchez, M. (2019). La formación inicial del profesorado de educación secundaria en españa: perfil y motivaciones del futuro docente. [Initial teacher training for secondary education in Spain: profile and motivations of the future teaching staff]. Educación XX1, 22(1), 71-92. https://doi.org/10.5944/educXX1.20007

Nájera Saucedo, J., Salazar Garza, M. L., Vacio Muro, M.A., & Morales Chiané, S. (2020). Evaluación de la autoeficacia, expectativas y metas académicas asociadas al rendimiento escolar. Revista de Investigación Educativa, 38(2), 435-452. http://dx.doi.org/10.6018/rie.350421

Nortes Martínez-Artero, R., & Nortes Checa, A. (2017). Competencia matemática, actitud y ansiedad hacia las Matemáticas en futuros maestros. Revista Electrónica Interuniversitaria de Formación del Profesorado, 20(3), 145‐160. http://dx.doi.org/10.6018/reifop.20.3.290841

Nortes, R., & Nortes, A. (2018). Conocimientos matemáticos de futuros maestros en resolución de problemas de 6º de primaria. Educatio Siglo XXI, 36(3), 201-230. https://doi.org/10.6018/j/349971

Núñez, J., Amieiro, N., Álvarez, D., García, T., & Dobarro, A. (2015). Escala de Evaluación de la Autorregulación del Aprendizaje a partir de Textos (ARATEXR). European Journal of Education and Psychology 8(1), 9-22. https://doi.org/10.1016/j.ejeps.2015.10.002

Panadero, E., & Alonso-Tapia, J. (2014). ¿Cómo autorregulan nuestros alumnos? Modelo de Zimmerman sobre estrategias de aprendizaje. Anales de Psicología / Annals of Psychology, 30(2), 450–462. https://doi.org/10.6018/analesps.30.2.167221

Pintrich, P.R. (2004). A conceptual framework for as sessing motivation and self-regulated learning in college students. Educational Psychology Review, 16(4), 385-407. https://doi.org/10.1007/s10648-004-0006-x

Polya, G. (1990) How To Solve It (2nd edition). Penguin, London.

Sakiz, G., Pape, S. J., & Hoy, A. W. (2012). Does perceived teacher affective support matter for middle school students in mathematics classrooms? Journal of School Psychology, 50(2), 235–255. https://doi.org/10.1016/j.jsp.2011.10.005

Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. En D. Grouws (Ed.), Handbook for Research on Mathematics Teaching and Learning (pp. 334-370). MacMillan.

Schoenfeld, A. (2018). Video analyses for research and professional development: the teaching for robust understanding (TRU) framework. ZDM, 50, 491-506. https://doi.org/10.1007/s11858-017-0908-y

Segarra, J., Bueno, A., Barrazueta, J., & Juliá, C. (2021). Estudio de la autoeficacia de las enseñanzas de matemáticas de los estudiantes de cuarto año de la Universidad del Azuay y la Universitat Rovira i Virgili. PNA 16(1), 78-97. https://doi.org/10.30827/pna.v16i1.18519

Segarra, J., & Juliá, C. (2021). Mathematical knowledge of elementary education student teachers: variable analysis. (2021). Uniciencia, 35(1), 124-138. https://doi.org/10.15359/ru.35-1.8

Schunk, D. H., and Usher, E. L. (2018). Social cognitive theoretical perspective of self-regulation. En D. H. Schunk and J. A. Greene (Eds.), Handbook of self-regulation of learning and performance (pp. 19–35). Routledge/Taylor & Francis Group. https://doi.org/10.4324/9781315697048-2.

Suárez, J. M., Fernández, A. P., & Zamora, Á. (2018). Academic Goals in Relation to Motivational Self - regulation Value Strategies, REDIE, 20(2), 15-24. https://doi.org/10.24320/redie.2018.20.2.1689

Throndsen, I. (2011). Self-regulated learning of basic arithmetic skills: A longitudinal study. British journal of educational psychology, 81(4), 558-578.

Tzohar-Rozen, M., & Kramarski, B. (2017). Metacognition and Meta-Affect in Young Students: Does It Make a Difference in Mathematical Problem Solving? Teachers College Record, 119(13), 1-26. https://doi.org/10.1177/016146811711901308

UNESCO [Organización de las Naciones Unidas para la Educación, la Ciencia y la Cultura] (2016). Educación 2030: Declaración de Incheon y Marco de Acción para la realización del Objetivo de Desarrollo Sostenible 4: Garantizar una educación inclusiva y equitativa de calidad y promover oportunidades de aprendizaje permanente para todos. UNESCO. https://unesdoc.unesco.org/ark:/48223/pf0000245656_spa

Usher, E. L., and Pajares, F. (2008). Self-efficacy for self-regulated learning: A validation study. Educational and Psychological Measurement, 68, 443-463. https://doi.org/10.1177/0013164407308475

White, M. C., and DiBenedetto, M. K. (2018). Self-regulation: An integral part of standards-based education. In D. H. Schunk y J. A. Greene (Eds.), Handbook of self-regulation of learning and performance (pp. 208–222). Routledge/Taylor y Francis Group. https://doi.org/10.4324/9781315697048-14

Zamora, J. (2020). Las actitudes hacia la matemática, el desarrollo social, el nivel educativo de la madre y la autoeficacia como factores asociados al rendimiento académico en matemática. Uniciencia, 34(1), 74–87. https://doi.org/10.15359/ru.34-1.5

Zimmerman, B. J. (2002). Becoming a self-regulated learner: An overview. Theory into practice, 41(2), 64-70. https://doi.org/10.1207/s15430421tip4102_2

Zimmerman, B. J. (2013). From cognitive modeling to self-regulation: A social cognitive career path. Educational Psychologist, 48(3), 135-147. https://doi.org/10.1080/00461520.2013.794676

Zimmerman, B. J., and Kitsantas, A. (2014). Comparing students’ self-discipline and self-regulation measures and their prediction of academic achievement. Contemporary Educational Psychology, 39(2), 145-155.

Zimmerman, B. J., and Moylan, A. R. (2009). Self-regulation: Where metacognition and motivation intersect. En D. J. Hacker, J. Dunlosky, y A. C. Graesser (Eds.), Handbook of metacognition in education (pp. 299-315). New York, NY, US: Routledge/Taylor y Francis Group.

Published

2024-11-30

How to Cite

Adaptation and Validation of a Scale of Self-Regulation of Learning in Mathematical Problem Solving. (2024). Uniciencia, 38(1), 1-26. https://doi.org/10.15359/ru.38-1.34

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Original scientific papers (evaluated by academic peers)

How to Cite

Adaptation and Validation of a Scale of Self-Regulation of Learning in Mathematical Problem Solving. (2024). Uniciencia, 38(1), 1-26. https://doi.org/10.15359/ru.38-1.34

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