Mathematical Self-Confidence of High School Students: A Study in Costa Rica
DOI:
https://doi.org/10.15359/ree.23-1.3Keywords:
Mathematics, self-confidence, anxiety, secondary education, mathematics self-confidenceAbstract
The “mathematical self-confidence” of the Costa Rican secondary education students is studied using the self-confidence subscale of Fennema and Sherman (1976), and the existence of differences in this variable by sex, educational level and the school geographical location is analyzed as well. The participants in the study were 2984 students (51% female) from the seventh to the eleventh year of official public day schools of the Ministry of Public Education of Costa Rica. The participating schools were selected by simple stratified random sampling and by conglomerates, according to the location area (69.5% urban), and according to the population by province (19.5% Alajuela, 12.5% Cartago, 9.3% Guanacaste, 10.6% Heredia, 10.3% Limon, 9.4% Puntarenas, 28.4% San Jose). The students selected for the study in each school sampled were those belonging to the second group of each educational level (18.9% seventh, 20.5% eighth, 21.4% ninth, 19% tenth, 20.2% eleventh). The results suggest that, jointly, about 78.9% of the students show between high and moderate levels of self confidence. They also indicate the existence of differences in the level of mathematical self confidence according to gender, with lower levels for women, with a medium magnitude of differences. The findings also suggest that there are no differences in the level of mathematical self-confidence among the tenth and eleventh level students, but there are in the ninth level; the latter having the highest index of mathematical self-confidence of the three. The study did not detect differences in the level of mathematical self-confidence among students according to the location of the school. The results suggest, at least, the following lines of research: to delve into the causes of the differences detected in the level of mathematical self-confidence by gender and those that may explain why the level of mathematical self-confidence decreases in the students of Diversified Education.
References
Arrieta, M. (2016). Relación entre el rendimiento académico y el nivel de “autoconfianza matemática” y de “ansiedad matemática” en estudiantes del curso MA1103 Matemática Básica para Administración del Instituto Tecnológico de Costa Rica (Tesis de licenciatura inédita). Instituto Tecnológico de Costa Rica, Cartago.
Berenguel, E., Gil, F., Montoro, A. B. y Moreno, M. F. (2015). Influencia de la autoconfianza y el perfil motivacional en el “flujo” en matemáticas. En C. Fernández, M., Molina y N. Planas (Eds.), Investigación en educación matemática XIX (pp. 173-181). Alicante: SEIEM. Recuperado de http://rua.ua.es/dspace/bitstream/10045/51386/1/2015-Actas-XIX-SEIEM_15.pdf
Brown, R. P. y Josephs, R. A. (2001). El peso de la prueba: Diferencias de género y relevancia de los estereotipos en el desempeño matemático. Nómadas, 14, 110-123. Recuperado de http://www.redalyc.org/pdf/1051/105115268010.pdf
Burga, A. (2006). La unidimensionalidad de un instrumento de medición: Perspectiva factorial. Revista de Psicología, 24(1), 53-80. Recuperado de http://www.redalyc.org/articulo.oa?id=337829536003
Calderón, P. y Guillén, C. (2016). Estudio sobre “autoconfianza matemática” y su relación con la “ansiedad matemática” en dos de los colegios técnicos de la provincia de Cartago (Tesis de licenciatura inédita). Instituto Tecnológico de Costa Rica, Cartago.
Cea, M. Á. (1999). Metodología cuantitativa: Estrategias y técnicas de investigación social. Madrid: Síntesis.
Fennema, E. y Sherman, J. A. (1976). Fennema-Sherman mathematics attitudes scales: Instruments designed to measure attitudes toward the learning of mathematics by females and males. Journal for Research in Mathematics Education, 7(5), 324-326. doi: https://doi.org/10.2307/748467
Gómez-Chacón, I. M. (2010). Actitudes de los estudiantes en el aprendizaje de la matemática con tecnología. Enseñanza de las ciencias, 28(2), 227-244. Recuperado de http://eprints.ucm.es/21500/1/IGomez1.pdf
Jiménez, K. y Montero, E. (2013). Aplicación del modelo de Rasch, en el análisis psicométrico de una prueba de diagnóstico en matemática. Revista digital Matemática, Educación e Internet, 13(1), 1-38. doi: https://doi.org/10.18845/rdmei.v13i1.1628
Lozano, L. M. y De la Fuente, E. I. (2013). Diseño y validación de cuestionarios. En A. Pantoja-Vallejo (Coord.), Manual básico para la realización de tesinas, tesis y trabajos de investigación (pp. 247-272). Madrid: EOS.
Malmivuori, M.-L. (2001). The dinamics of affect, cognition, and social environment in the regulation of personal learning processes: The case of mathematics. Helsinki: University of Helsinki. Recuperado de http://ethesis.helsinki.fi/julkaisut/kas/kasva/vk/malmivuori/thedynam.pdf
Meza, L. G., Agüero, E. y Suárez, Z. (2016). ESACEM: Estudio de la autoconfianza matemática en estudiantes de educación media (Informe final de proyecto de investigación). Cartago, Costa Rica: Instituto Tecnológico de Costa Rica. Recuperado de https://repositoriotec.tec.ac.cr/bitstream/handle/2238/9805/estudio_autoconfianza_matematica_estudiantes_educacion_media.pdf?sequence=1&isAllowed=y
Meza, L. G., Agüero, E., Suárez, Z. y Schmidt, S. (2014). ESAM: Estudio de la ansiedad matemática en la educación media (Informe final de proyecto de investigación). Cartago, Costa Rica: Instituto Tecnológico de Costa Rica. Recuperado de http://repositoriotec.tec.ac.cr/handle/2238/4733
Nortes, R. y Nortes, A. (2014). ¿Tienen ansiedad hacia las matemáticas los futuros matemáticos? Profesorado. Revista de currículo y formación del profesorado, 18(2), 153-170. Recuperado de http://www.redalyc.org/articulo.oa?id=56732350009
Pérez-Tyteca, P. (2012). La ansiedad matemática como centro de un modelo causal predictivo de la elección de carreras (Tesis de doctorado inédita). Universidad de Granada, España. Recuperado de https://hera.ugr.es/tesisugr/2108144x.pd
Pérez-Tyteca, P. y Castro, E. (2011). La ansiedad matemática y su red de influencias en la elección de carrera universitaria. En M. Marín, G. Fernández, L. J. Blanco y M. M. Palarea (Coords.), Investigación en educación Matemática XV (pp. 471-480). Ciudad Real: SEIEM. Recuperado de http://funes.uniandes.edu.co/1831/
Pérez-Tyteca, P., Monje, J. y Castro, E. (2013). Afecto y matemáticas. Diseño de una entrevista para acceder a los sentimientos de alumnos adolescentes. AIEM. Avances de Investigación en Educación Matemática, 4, 65-82. Recuperado de http://www.aiem.es/index.php/aiem/article/view/55/29
Ramos, N. (2015). Estudio de la relación entre “ansiedad matemática” y “autoconfianza matemática” en tres colegios privados costarricenses (Tesis de licenciatura inédita). Instituto Tecnológico de Costa Rica, Cartago.
Ripoll, J. (2011). La d de Cohen como tamaño del efecto. Recuperado de http://clbe.wordpress.com/2011/10/26/la-d-de-cohen-como-tamano-del-efecto
Zan, R., Brown, L., Evans, J. y Hannula, M. S. (2006). Affect in mathematics education: An introduction. Educational Studies in Mathematic, 63(2), 113-121. doi: https://doi.org/10.1007/s10649-006-9028-2
Downloads
Published
How to Cite
Issue
Section
License
1. In case the submitted paper is accepted for publication, the author(s) FREELY, COSTLESS, EXCLUSIVELY AND FOR AN INDEFINITE TERM transfer copyrights and patrimonial rights to Universidad Nacional (UNA, Costa Rica). For more details check the Originality Statement and Copyright Transfer Agreement
2. REUTILIZATION RIGHTS: UNA authorizes authors to use, for any purpose (among them selfarchiving or autoarchiving) and to publish in the Internet in any electronic site, the paper´'s final version, both approved and published (post print), as long as it is done with a non commercial purpose, does not generate derivates without previous consentment and recognizes both publisher's name and authorship.
3. The submission and possible publication of the paper in the Educare Electronic Journal is ruled by the Journal’s editorial policies, the institutional rules of Universidad Nacional and the laws of the Republic of Costa Rica. Additionally, any possible difference of opinion or future dispute shall be settled in accordance with the mechanisms of Alternative Dispute Resolution and the Costa Rican Jurisdiction.
4. In all cases, it is understood that the opinions issued are those of the authors and do not necessarily reflect the position and opinion of Educare, CIDE or Universidad Nacional, Costa Rica. It is also understood that, in the exercise of academic freedom, the authors have carried out a rogorous scientific-academic process of research, reflection and argumentation thar lays within the thematic scope of interest of the Journal.
5. The papers published by Educare Electronic Journal use a Creative Commons License: