Main Article Content
Abstract
Our study stars with the aim of discovering if there is a relationship between the beliefs and perceptions that Italian High School students have towards mathematics and some factors as grade, macro area, type of school and academic performance. The methodological proposal that this study follows is based on the combination of quantitative and qualitative method. Regarding the quantitative design, the instrument used has been a survey filled out by 4845 students living in Italy. The qualitative methodology has focused on the discourse analysis of 12 in-depth interviews with the participation of secondary school teachers. Among the main results we found that the perception of mathematics as a useful subject just to count, calculate and measure can be considered among the causes of the decrease academic performance of the students of the Second Grade Secondary School compared to the Primary School, because many students consider utility of math just in its arithmetic aspect. In addition, while changes about beliefs by grade, macro area and type of school are not significant, we found correlations between some particular beliefs and performance in mathematics, confirming a connection between beliefs towards this discipline and academic performance. The novelty of our research is found in having specifically detected which are beliefs and perceptions related to academic performance. That opens the door for future research.
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References
- 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
- Barton, J., Stephens, J., & Haslett, T. (2009). Action Research: Its Foundations in Open Systems Thinking and Relationship to the Scientific Method. Systemic Practice and Action Research, 22, 475-488. https://doi.org/10.1007/s11213-009-9148-6
- Boaler, J., Dieckmann J. A., Pérez-Núñez G., Sun, K. L., & Williams, C. (2018). Changing students minds and achievement in mathematics: The impact of a free online student course. Frontiers in Education, 3, 26. https://doi.org/10.3389/feduc.2018.00026
- Callejo, J., & Viedma, A. (2006). Proyectos y estrategias de investigación social: la perspectiva de intervención. McGraw-Hill.
- Copur-Gencturk, Y., Thacker, I., & Quinn, D. (2020). K-8 Teachers’ Overall and Gender-Specific Beliefs About Mathematical Aptitude. International Journal of Science and Mathematics Education, 9, 1251-1269. https://doi.org/10.1007/s10763-020-10104-7
- Di Martino, P. & Zan, R. (2010). Me and maths’: towards a definition of attitude grounded on students’ narratives. Journal of Mathematics Teacher Education, 13(1), 27-48. https://doi.org/10.1007/s10857-009-9134-z
- Esquivel, A. L. E., Cortés Godinez, R. A., Enciso Arambula, R., & López Santana, M. A. (2017). Creencias y emociones, factores determinantes en el aprendizaje matemático. Educateconciencia, 15(16), 18-49. Retrieved from http://tecnocientifica.com.mx/educateconciencia/index.php/revistaeducate
- Fernández, R., Prada, R., & Hernandez, C. A. (2020). Mathematical processes and pedagogic practice: Characterization of the teachers in basic and middle education. Espacios, 41(13), 8.
- Retrieved from https://www.revistaespacios.com/a20v41n13/in204113.html
- Fernandez-Cezar, R., Adriano-Rincón, G., & Prada-Núñez, R. (2019). ¿Se relacionan las creencias sobre las matemáticas con el rendimiento académico en matemáticas en estudiantes de contexto vulnerables?. Eco Matemático, 10(2), 6–15. https://doi.org/10.22463/17948231.2588
- Gibbs, G. (2012). El análisis de datos cualitativos en Investigación Cualitativa. Ediciones Morata.
- González Serrano, M., Casas García, L. M., Torres Carvalho, J. L., & Luengo González, R. (2015). Concepciones y creencias de los profesores en formación sobre las Matemáticas y su enseñanza-aprendizaje. Propuesta de nueva metodología cualitativa. Campo Abierto. Revista de Educación, 34(2), 85–104.
- Hemmings, B., Grootenboer, P., & Kay, R. (2011). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9, 691–705. https://doi.org/10.1007/s10763-010-9224-5
- Igartua, J. J., & Humanes, M. L. (2009). Teoría e investigación en Comunicación Social. Síntesis.
- Invalsi (2019). Rapporto Prove Invalsi 2019. Rapporto Nazionale. https://invalsi-areaprove.cineca.it/docs/2019/Rapporto_prove_INVALSI_2019.pdf
- Iñiguez Rueda, L. (2006). Análisis del discurso: manual para las ciencias sociales. UOC.
- Johnson, R., & Onwuegbuzie, A. J. (2004). Mixed Methods Research: A Research Paradigm Whose Time Has Come. Educational Researcher, 33(7), 14-26. https://doi.org/10.3102/0013189X033007014
- Kwon, H., Capraro, R.M. & Capraro, M.M. (2021). When I Believe, I Can: Success STEMs from My Perceptions. Canadian Journal of Science, Mathematics, and Technology Education. 21(1), 67–85. https://doi.org/10.1007/s42330-020-00132-4
- Lazarides, R., Dicke, A. L., Rubach, C., & Eccles, J. S. (2020). Profiles of motivational beliefs in math: Exploring their development, relations to student-perceived classroom characteristics, and impact on future career aspirations and choices. Journal of Educational Psychology, 112(1), 70–92. https://doi.org/10.1037/edu0000368
- Margiotta, U. (2018). La formazione dei talenti come nuova frontiera. Formazione & Insegnamento, 16(2), 9-14. Retrieved from https://ojs.pensamultimedia.it/index.php/siref/issue/view/184
- Menichetti, L., Pellegrini, M., & Gola, G. (2019). Cornici mentali e stereotipie didattiche nella formazione degli insegnanti. Formazione & Insegnamento, 17(1), 351–374. Retrieved from https://ojs.pensamultimedia.it/index.php/siref/article/view/3437/3281
- Murillo, F. J. (2006). Cuestionarios y escalas de actitudes. Universidad Autónoma de Madrid.
- Romine, W., Tsai, C., Miller, M., Tang, N., & Folk, W. (2020). Evaluation of a Process by which Individual Interest Supports Learning Within a Formal Middle School Classroom Context. International Journal of Science and Mathematics Education 18, 1419–1439. https://doi.org/10.1007/s10763-019-10032-1
- Rule, P., & Mitchell, J. (2015). A Necessary Dialogue: Theory in Case Study Research. International Journal of Qualitative Methods, 1-11. https://doi.org/10.1177/1609406915611575
- Rychen, D. S., & Salganik, L. H. (2003). Las competencias clave para el bienestar personal, social y económico. (D. S. Rychen and L. H. Salganik, Eds.). Ediciones Aljibe.
- Schöber, C., Schütte, K., Köller, O., McElvany, N., & Gebauer, M. M. (2018). Reciprocal effects between self-efficacy and achievement in mathematics and reading. Learning and Individual Differences, 63(1), 1-11. https://doi.org/10.1016/j.lindif.2018.01.008
- Simó, V. L, Lagarón, D. C, & Rodríguez, C. S. (2020). Educación STEM en y para el mundo digital. Revista de Educación a Distancia (RED), 20(62), 31–34. https://doi.org/10.6018/red.410011
- Stake, R. E. (2005). Qualitative case studies. In Denzin N., Lincoln Y., The SAGE Handbook of Qualitative Research (pp. 443-466). SAGE Publications.
- Stake, R. E. (2007). Investigación con estudio de casos [Research with case studies]. Ediciones Morata.
- Valles, M. (2000). Técnicas cualitativas de investigación social [Qualitative techniques of social research]. Síntesis.
- Van Dijk, T.A. (2005). Ideología y análisis del discurso [Ideology and discourse analysis]. Utopía y Praxis Latinoamericana, 10(29),9-36. Retrieved from https://produccioncientificaluz.org/index.php/utopia/issue/view/323
- Vesga-Bravo, G.J., & Escobar-Sánchez, R.E. (2018). Trabajo en solución de problemas matemáticos y su efecto sobre las creencias de estudiantes de básica secundaria. Revista de Investigación, Desarrollo e Innovación, 9(1), 103–114. https://doi.org/10.19053/20278306.v9.n1.2018.8270
References
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
Barton, J., Stephens, J., & Haslett, T. (2009). Action Research: Its Foundations in Open Systems Thinking and Relationship to the Scientific Method. Systemic Practice and Action Research, 22, 475-488. https://doi.org/10.1007/s11213-009-9148-6
Boaler, J., Dieckmann J. A., Pérez-Núñez G., Sun, K. L., & Williams, C. (2018). Changing students minds and achievement in mathematics: The impact of a free online student course. Frontiers in Education, 3, 26. https://doi.org/10.3389/feduc.2018.00026
Callejo, J., & Viedma, A. (2006). Proyectos y estrategias de investigación social: la perspectiva de intervención. McGraw-Hill.
Copur-Gencturk, Y., Thacker, I., & Quinn, D. (2020). K-8 Teachers’ Overall and Gender-Specific Beliefs About Mathematical Aptitude. International Journal of Science and Mathematics Education, 9, 1251-1269. https://doi.org/10.1007/s10763-020-10104-7
Di Martino, P. & Zan, R. (2010). Me and maths’: towards a definition of attitude grounded on students’ narratives. Journal of Mathematics Teacher Education, 13(1), 27-48. https://doi.org/10.1007/s10857-009-9134-z
Esquivel, A. L. E., Cortés Godinez, R. A., Enciso Arambula, R., & López Santana, M. A. (2017). Creencias y emociones, factores determinantes en el aprendizaje matemático. Educateconciencia, 15(16), 18-49. Retrieved from http://tecnocientifica.com.mx/educateconciencia/index.php/revistaeducate
Fernández, R., Prada, R., & Hernandez, C. A. (2020). Mathematical processes and pedagogic practice: Characterization of the teachers in basic and middle education. Espacios, 41(13), 8.
Retrieved from https://www.revistaespacios.com/a20v41n13/in204113.html
Fernandez-Cezar, R., Adriano-Rincón, G., & Prada-Núñez, R. (2019). ¿Se relacionan las creencias sobre las matemáticas con el rendimiento académico en matemáticas en estudiantes de contexto vulnerables?. Eco Matemático, 10(2), 6–15. https://doi.org/10.22463/17948231.2588
Gibbs, G. (2012). El análisis de datos cualitativos en Investigación Cualitativa. Ediciones Morata.
González Serrano, M., Casas García, L. M., Torres Carvalho, J. L., & Luengo González, R. (2015). Concepciones y creencias de los profesores en formación sobre las Matemáticas y su enseñanza-aprendizaje. Propuesta de nueva metodología cualitativa. Campo Abierto. Revista de Educación, 34(2), 85–104.
Hemmings, B., Grootenboer, P., & Kay, R. (2011). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9, 691–705. https://doi.org/10.1007/s10763-010-9224-5
Igartua, J. J., & Humanes, M. L. (2009). Teoría e investigación en Comunicación Social. Síntesis.
Invalsi (2019). Rapporto Prove Invalsi 2019. Rapporto Nazionale. https://invalsi-areaprove.cineca.it/docs/2019/Rapporto_prove_INVALSI_2019.pdf
Iñiguez Rueda, L. (2006). Análisis del discurso: manual para las ciencias sociales. UOC.
Johnson, R., & Onwuegbuzie, A. J. (2004). Mixed Methods Research: A Research Paradigm Whose Time Has Come. Educational Researcher, 33(7), 14-26. https://doi.org/10.3102/0013189X033007014
Kwon, H., Capraro, R.M. & Capraro, M.M. (2021). When I Believe, I Can: Success STEMs from My Perceptions. Canadian Journal of Science, Mathematics, and Technology Education. 21(1), 67–85. https://doi.org/10.1007/s42330-020-00132-4
Lazarides, R., Dicke, A. L., Rubach, C., & Eccles, J. S. (2020). Profiles of motivational beliefs in math: Exploring their development, relations to student-perceived classroom characteristics, and impact on future career aspirations and choices. Journal of Educational Psychology, 112(1), 70–92. https://doi.org/10.1037/edu0000368
Margiotta, U. (2018). La formazione dei talenti come nuova frontiera. Formazione & Insegnamento, 16(2), 9-14. Retrieved from https://ojs.pensamultimedia.it/index.php/siref/issue/view/184
Menichetti, L., Pellegrini, M., & Gola, G. (2019). Cornici mentali e stereotipie didattiche nella formazione degli insegnanti. Formazione & Insegnamento, 17(1), 351–374. Retrieved from https://ojs.pensamultimedia.it/index.php/siref/article/view/3437/3281
Murillo, F. J. (2006). Cuestionarios y escalas de actitudes. Universidad Autónoma de Madrid.
Romine, W., Tsai, C., Miller, M., Tang, N., & Folk, W. (2020). Evaluation of a Process by which Individual Interest Supports Learning Within a Formal Middle School Classroom Context. International Journal of Science and Mathematics Education 18, 1419–1439. https://doi.org/10.1007/s10763-019-10032-1
Rule, P., & Mitchell, J. (2015). A Necessary Dialogue: Theory in Case Study Research. International Journal of Qualitative Methods, 1-11. https://doi.org/10.1177/1609406915611575
Rychen, D. S., & Salganik, L. H. (2003). Las competencias clave para el bienestar personal, social y económico. (D. S. Rychen and L. H. Salganik, Eds.). Ediciones Aljibe.
Schöber, C., Schütte, K., Köller, O., McElvany, N., & Gebauer, M. M. (2018). Reciprocal effects between self-efficacy and achievement in mathematics and reading. Learning and Individual Differences, 63(1), 1-11. https://doi.org/10.1016/j.lindif.2018.01.008
Simó, V. L, Lagarón, D. C, & Rodríguez, C. S. (2020). Educación STEM en y para el mundo digital. Revista de Educación a Distancia (RED), 20(62), 31–34. https://doi.org/10.6018/red.410011
Stake, R. E. (2005). Qualitative case studies. In Denzin N., Lincoln Y., The SAGE Handbook of Qualitative Research (pp. 443-466). SAGE Publications.
Stake, R. E. (2007). Investigación con estudio de casos [Research with case studies]. Ediciones Morata.
Valles, M. (2000). Técnicas cualitativas de investigación social [Qualitative techniques of social research]. Síntesis.
Van Dijk, T.A. (2005). Ideología y análisis del discurso [Ideology and discourse analysis]. Utopía y Praxis Latinoamericana, 10(29),9-36. Retrieved from https://produccioncientificaluz.org/index.php/utopia/issue/view/323
Vesga-Bravo, G.J., & Escobar-Sánchez, R.E. (2018). Trabajo en solución de problemas matemáticos y su efecto sobre las creencias de estudiantes de básica secundaria. Revista de Investigación, Desarrollo e Innovación, 9(1), 103–114. https://doi.org/10.19053/20278306.v9.n1.2018.8270