Abstract
This chapter reports on our research findings about the influence of GeoGebra use on twelve secondary students’ problem solving strategies in plane geometry. Using multiple data sources, we analyse the complex interactions among GeoGebra use, students’ prior knowledge and learning preferences, and the teacher’s role, under the theoretical perspective of instrumental genesis. We identify three levels of instrumentalization and instrumentation and provide specific cases to illustrate students’ use of GeoGebra and their evolving mathematical conceptions in relation to GeoGebra tools. In general, the use of GeoGebra helps student enhance their mathematical understanding by enabling alternative problem resolution paths, and, in some case, help diagnose their learning difficulties. We further discuss implications for future GeoGebra use and classroom-based research.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
REFERENCES
Cobo, P. (1998). Análisis de los procesos cognitivos y de las interacciones sociales entre alumnos (16–17) en la resolución de problemas que comparan áreas de superficies planas. Un estudio de casos. Doctoral dissertation. Universitat Autònoma de Barcelona.
Drijvers, P. (2002). Learning mathematics in a computer algebra environment: obstacles are opportunities. Zentralblatt fur Didaktik der Mathematik, 34(5): 221–228.
Hollebrands, K. (2007). The Role of a Dynamic Software Program for Geometry in the Strategies High School Mathematics Students Employ. Journal for Research in Math Education, 38(2), 164–192.
Kieran, C. & Drijvers, P. (2006). The coemergence of machine techniques, paper and pencil techniques and theoretical reflection. A study of CAS use in secondary school algebra. International Journal of Computers for Mathematical Learning, 11(2), 205–263.
Laborde, C. (1992) Solving problems in computer based Geometry environment: the influence of the feature of the software, Zentralblatt für Didaktik der Mathematik 92(4), 128–135.
Laborde, C. (2001). Integration of technology in the design of geometry tasks with Cabri-Geometry. International Journal of Computers for Mathematical Learning, 6, 283–317.
Laborde, C., & Capponi, B. (1994): Cabri-Géomètre constituant d’un milieu pour l’apprentissage de la notion de figure géométrique, Recherches en Didactique des Mathématiques 14. 1(2), 165–209.
Rabardel, P. (1995). The proving process within Les homes et les technologies. Approche cognitive des instruments contemporains. Paris, France: Armand Collin.
Rabardel, P. (2001). Instrument mediated activity in situacions. In A. Blandford, J. Vanderdonckt & PP. Gray (Eds.), People and computers XV- interactions without frontiers (pp. 17–33). Berlin, Germany: Springer.
Vérillon, P., & Rabardel, P. (1995). Cognition and artifacts: a contribution to the study of thought in relation to instrumented activity. European Journal of Psychology in Education, 10(1), 77–101.
White, T. (2008). Debugging an artefact, instrumenting a bug: Dialectics of instrumentation and design in technology-rich learning environments. International Journal of Computers for Mathematical Learning, 13(1), 1–26.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2011 Sense Publishers
About this chapter
Cite this chapter
Iranzo, N., Fortuny, J.M. (2011). Influence of Geogebra on Problem Solving Strategies. In: Bu, L., Schoen, R. (eds) Model-Centered Learning. Modeling and Simulations for Learning and Instruction, vol 6. SensePublishers. https://doi.org/10.1007/978-94-6091-618-2_7
Download citation
DOI: https://doi.org/10.1007/978-94-6091-618-2_7
Publisher Name: SensePublishers
Online ISBN: 978-94-6091-618-2
eBook Packages: Humanities, Social Sciences and LawEducation (R0)