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Study of Configural Reasoning and Written Discourse in Geometric Exercises of Proving

DOI: 10.4236/jss.2016.42007, PP. 33-37

Keywords: Proving, Configural Reasoning, Truncation, Visualization, Apprehension

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Abstract:

This article presents a study of configural reasoning and written discourse developed by students of the National Polytechnic School of Ecuador when performing geometrical exercises of proving.

References

[1]  Gamboa, A.S. and Ballestero, E.A. (2009) Algunas reflexioness obeladidáctic adelageometría. Cuadernos de Investigación y Formación en Educación Matemática, 5, 113-136.
[2]  McClure, J.E. (2000) Start Where They Are: Geometry as an Introduction to Proof. American Mathematical Monthly, 107, 44-52. http://dx.doi.org/10.2307/2589376
[3]  Jones, K. and Rodd, M. (2000) Geometry and Proof. Proceedings of the British Society for Research into Learning Mathematics, 21, 95-100.
[4]  Griffiths, P.A. (2000) Mathematics at the Turn of the Millennium. American Mathematical Monthly, 107, 1-14. http://dx.doi.org/10.2307/2589372
[5]  Weber, K. (2008) How Mathematicians Determine if an Argument Is a Valid Proof. Journal for Research in Mathematics Education, 39, 431-459.
[6]  Harel, G. and Sowder, L. (2007) Toward Comprehensive Perspectives on the Learning and Teaching of Proof. In: Lester, F., Ed., Second Handbook of Research on Mathematics Education, Information Age Pub Inc., Greenwich.
[7]  Alcolea, J. (2013) Argumentation in Mathematics. Logic, Epistemology and the Unity of Science, 30, 47-60.
[8]  Duval, R. (1999) Representation, Vision and Visualization: Cognitive Functions in Mathematical Thinking. Basic Issues for Learning. Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Cu-ernavaca, Morelos, México.
[9]  Torregrosa, G. And Quesada, H. (2007) Coordinación deprocesoscognitivos engeometría. Revista Latinoamericanade Investigaciónen Matemática Educativa, 10, 275-300.
[10]  Mayer, R.E. and Massa, L. (2003) Three Facets of Visual and Verbal Learners: Cognitive Ability, Cognitive Style, and Learning Preference. Journal of Educational Psychology, 95, 833-846. http://dx.doi.org/10.1037/0022-0663.95.4.833
[11]  Chen, Ch. and Herbst, P. (2013) The Interplay among Gestures, Discourse, and Diagrams in Student’ Geometrical Reasoning. Educational Studies in Mathematics, 83, 285-307. http://dx.doi.org/10.1007/s10649-012-9454-2
[12]  Clemente, F. and Llinares, S. (2015) Formas del discurso y razonamiento configural de estudiantes para maestros en la resolución de problemas de geometría. Ense?anza de las Ciencias, 33, 9-27. http://dx.doi.org/10.5565/rev/ensciencias.1332

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