Effects of using dynamic geometry on learning and attitude towards mathematics

  • Víctor Linares Gómez Universidad de Navojoa, México
Keywords: dynamic geometry, learning, attitude towards mathematics

Abstract

The purpose of this descriptive and correlational study with a pre-experimental design was to know the effect of the use of dynamic geometry on the learning and attitude towards mathematics in 26 high school students from a private university in Mexico during the 2017-2018 academic year. For the study, a pretest and posttest of knowledge about the parable and a scale of attitude towards mathematics were administered at the beginning and at the end of the treatment. A large and positive effect (according to Cohen's d) of the use of dynamic geometry (GeoGebra) on student learning was found; it shows that, through it, students can learn concepts, and properties of loci; however, students couldn’t solve an application problem using GeoGebra effectively. Furthermore, a significant difference was found between the favorable attitude towards mathematics before and after using GeoGebra in the learning process. The observed growth was from 52.8% to 61.4%. This finding indicates that the use of dynamic geometry has a positive effect on the attitude towards mathematics.

Downloads

Download data is not yet available.

References

Albujer Brotons, A. L. y Caballero Campos, M. (2011, enero). Geometría y tecnología. [Ponencia] IX Jornades de Xarxes d'Investigació en Docència Universitària: Disseny de bones pràctiques docents en el cotext actual. Universidad de Alicante, España. http://rua.ua.es/dspace/handle/10045/19885

Asunda, P. A. (2010). Manual arts to technology education: Are we ripe for infusing aspects of a green technology into career and technical education constituent subjects? Career and Technical Education Research, 35(1), 175-187. https://doi.org/10.5328/cter35.313 DOI: https://doi.org/10.5328/cter35.313

Avci, Z. Y., Keene, K. A., McClaren, L. H., y Vasu, E. S. (2015). An exploration of student attitudes towards online communication and collaboration in mathematics and technology. International Online Journal of Educational Sciences, 7(1), 110-126. https://doi.org/10.15345/iojes.2015.01.010 DOI: https://doi.org/10.15345/iojes.2015.01.010

Bhagat, K. K. y Chang, C. Y. (2014). Incorpoating GeoGebra into Gometry learning: A lesson from India. Eurasia Journal of Mathematics, Sciencie and Technology Education, 11(1), 77-86. https://doi.org/10.12973/eurasia.2015.1301a DOI: https://doi.org/10.12973/eurasia.2015.1307a

Bosch, H. E., Di Blasi, M. A., Pelem, M. E., Bergero, M. S., Carvajal, L. y Geromini, N. S. (2011). Nuevo paradigma pedagógico para enseñanza de ciencias y matemática. Avances en Ciencias e Ingeniería, 2(3), 131-140. https://www.executivebs.org/publishing.cl/avances-en-ciencias-e-ingenieria-vol-2-nro-3-ano-2011-articulo-13/

Briseño Miranda, C. y Guzmán Hernández, J. (2015). Construcción de conceptos matemáticos mediante la visualización geométrica. En Educación Matemática en las Américas (vol. 4, pp. 153-164). Comité Interamericano de Educación Matemática.

Castillo, S. (2008). Propuesta pedagógica basada en el constructivismo para el uso óptimo de las TIC en la enseñanza y el aprendizaje de la matemática. Revista Latinoamericana de Investigación en Matemática Educativa, 11(2), 171-194. http://relime.org/index.php/numeros/todos-numeros/volumen-11/numero-11-2/559-200801b

Cedillo Ávalos, T. E. (2006). La enseñanza de las matemáticas en la escuela secundaria: los sistemas algebraicos computarizados. Revista Mexicana de Investigación Educativa, 11(28), 129-153. http://www.comie.org.mx/revista/v2018/rmie/index.php/nrmie/article/view/674/674

Coffland, D. A. y Strickland, A. W. (2004). Factors related to teacher use of technology in secondary geometry instruction. Journal of Computers in Mathematics and Science Teaching, 23(4), 347-365. https://www.learntechlib.org/primary/p/21757/

Cowan, J. E. (2012). Strategies for developing a community of practice: Nine years of lessons learned in a hybrid technology education master’s program. TechTrends, 56(1), 12-18. https://doi.org/10.1007/s11528-011-0549-x DOI: https://doi.org/10.1007/s11528-011-0549-x

Díaz Abahonza, E. H. (2014). El uso de las TICS como medio didáctico para la enseñanza de la geometría [Tesis de maestría, Universidad Nacional de Colombia]. Repositorio Institucional UN. http://bdigital.unal.edu.co/43056/1/8413024.2014.pdf

Domingo Coscollola, M. y Marquès Graells, P. (2011). Aulas 2.0 y uso de las TIC en la práctica docente. Comunicar, 19(37), 69-175. https://doi.org/10.3916/C37-2011-03-09 DOI: https://doi.org/10.3916/C37-2011-03-09

Estrada Roca, M. A. y Díez Palomar, F. J. (2011). Las actitudes hacia las matemáticas. Análisis descriptivo de un estudio de caso exploratorio centrado en la educación matemática de familiares. Revista de Investigación en Educación, 9(2), 116-132. http://reined.webs.uvigo.es/index.php/reined/article/view/118/108

Gómez Martínez, N. (2012). Relación entre la capacidad de memoria de trabajo en estudiantes de secundaria del Colegio General Ignacio Zaragoza y su actitud hacia las matemáticas [Tesis de maestría, Universidad de Montemorelos]. DSpace. http://dspace.biblioteca.um.edu.mx/xmlui/handle/20.500.11972/825

Hallström, J. y Gyberg, P. (2011). Technology in the rear-view mirror: How to better incorporate the history of technology into technology education. International Journal of Technology & Design Education, 21, 3-17. https://doi.org/10.1007/s10798-009-9109-5 DOI: https://doi.org/10.1007/s10798-009-9109-5

Juan, A. A., Steegmann Pascual, C., Huertas, M. A., Martinez, M. J. y Simosa, J. (2011). Teaching mathematics online in the European area of higher education: An instructor’s point of view. International Journal of Mathematical Education in Science and Technology, 42(2), 141-153. https://doi.org/10.1080/0020739X.2010.526254 DOI: https://doi.org/10.1080/0020739X.2010.526254

Lee, C. Y. y Yuan, Y. (2010). Gender differences in the relationship between Taiwanese adolescents' mathematics attitudes and their perceptions toward virtual manipulatives. International Journal of Science and Mathematics Education, 8(5), 937-950. https://doi.org/10.1007/s10763-010-9193-8 DOI: https://doi.org/10.1007/s10763-010-9193-8

Lehmann, C. H. (2008). Geometría analítica. Limusa.

López, R., Castro, E. y Molina, M. (2013). Actitudes de estudiantes de ingeniería de nuevo ingreso hacia el uso de la tecnología en matemáticas. PNA, 8(1), 31-50. https://revistaseug.ugr.es/index.php/pna/article/view/6121/5439 DOI: https://doi.org/10.30827/pna.v8i1.6121

Maduro, R., Bolívar, E., Iturriza, H., Barrios, N., García, H. y Rodríguez, J. (2007). Enseñanza de la matemática desde una perspectiva andragógica. Educación y Educadores, 10(2), 51-61. https://educacionyeducadores.unisabana.edu.co/index.php/eye/article/view/690/773

McGarr, O. (2010). Education for sustainable development in technology education in Irish schools: A curriculum analysis. International Journal of Technology and Design Education, 20, 317-332. https://doi.org/10.1007/s10798-009-9087-7 DOI: https://doi.org/10.1007/s10798-009-9087-7

Mendoza Contreras, A. (2014). Modelo de Van Hiele y el software GeoGebra para el estudio y comprensión de la geometría analítica en bachillerato. Revista Electrónica Amiutem, 2(1), 76-87. http://revista.amiutem.edu.mx/relecamiutem/article/view/14

Montero, Y. H., Pedroza, M. E., Astiz, M. S. y Vilanova, S. L. (2015). Caracterización de las actitudes de estudiantes universitarios de matemática hacia los métodos numéricos. Revista Electrónica de Investigación Educativa, 17(1), 88-99. https://redie.uabc.mx/redie/article/view/357/1009

Mosothwane, M. (2012). The role of senior secondary school mathematics teachers in the development of mathematics curriculum in Botswana. International Journal of Scientific Research in Education, 5(2), 117-129. http://www.ijsre.com/assets/vol.%2c-5_2_-mosothwane.pdf

National Council of Teacher of Mathematics. (2003). Principios para matemáticas escolares. http://eduteka.icesi.edu.co/articulos/Principios Math

Norton, S., McRobbie, C. J. y Cooper, T. J. (2000). Exploring secondary mathematics teacher's reasons for not using computers in their teaching: Five cases studies. Journal of Research on Computing in Education, 33(1), 87-109. https://doi.org/10.1080/08886504.2000.10782302 DOI: https://doi.org/10.1080/08886504.2000.10782302

O'Brien, C., Aguinaga, N. J., Hines, R. y Hartshorne, R. (2011). Using contemporary technology tools to improve the effectiveness of teacher educators in special education. Rural Special Education Quarterly, 30(3), 33-40. https://doi.org/10.1177/875687051103000305 DOI: https://doi.org/10.1177/875687051103000305

Opazo Correa, V. (2005). Los pda en educación y su utilización en el aprendizaje de la geometría. Horizontes Educacionales, 10, 85-93. https://www.redalyc.org/pdf/979/97917573009.pdf

Pierce, R. y Ball, L. (2009). Perceptions that may affect teachers’ intention to use technology in secondary mathematics classes. Educational Studies in Mathematics, 71, 299-317. https://doi.org/10.1007/s10649-008-9177-6 DOI: https://doi.org/10.1007/s10649-008-9177-6

Rey, J. A., Quiroga, P. y Martínez, G. C. (2013). Adaptación de un enfoque para el diseño de secuencias didácticas que permitan el desarrollo de actitudes positivas hacia las matemáticas. Revista Científica, Edición especial, 283-287. https://doi.org/10.14483/23448350.7053 DOI: https://doi.org/10.14483/23448350.7053

Unkefer, L. C., Shinde, S. y McMaster, K. (2009). Integrating advanced technology in teacher education courses. TechTrends, 53(3), 80-85. https://doi.org/10.1007/s11528-009-0287-5 DOI: https://doi.org/10.1007/s11528-009-0287-5

Wood, R. y Ashfield, J. (2008). The use of the interactive whiteboard for creative teaching and learning in literacy and mathematics: A case study. British Journal of Educational Technology, 39(1), 84-96. https://doi.org/10.1111/j.14678535.2007.00703.x

Yang, D. C. y Tsai, Y. F. (2010). Promoting sixth graders’ number sense and learning attitudes via technology-based environment. Educational Technology & Society, 13(4), 112-125. https://www.jstor.org/stable/jeductechsoci.13.4.112

Yavuz Mumcu, H. y Cansiz Aktas, M. (2015). Multi-program high school students’ attitudes and self-efficacy perceptions toward mathematics. Eurasian Journal of Educational Research, 59, 207-226. https://doi.org/10.14689/ejer.2015.59.12 DOI: https://doi.org/10.14689/ejer.2015.59.12

Zembat, I. O. (2008). Pre-service teachers’ use of different types of mathematical reasoning in paper-and-pencil versus technology-supported environments. International Journal of Mathematical Education in Science and Technology, 39(2), 143-160. https://doi.org/10.1080/00207390701828705 DOI: https://doi.org/10.1080/00207390701828705

Published
2020-12-01
How to Cite
Linares Gómez, V. (2020). Effects of using dynamic geometry on learning and attitude towards mathematics. RIEE | Revista Internacional De Estudios En Educación, 20(2), 78-93. https://doi.org/10.37354/riee.2020.203