Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/8441
Title: | Resorting to non euclidean plane geometries to develop deductive reasoning an onto-semiotic approach |
Author: | Neto, Teresa Breda, Ana Costa, Nilza D. Godino, Juan |
Keywords: | Plane geometries Deductive reasoning Onto-semiotic approach |
Issue Date: | 15-May-2009 |
Publisher: | ICMI |
Abstract: | The main idea behind this work is the study of the potential of resorting to other models of Plane Geometry (e.g. Hyperbolic Geometry, Taxicab Geometry) to help students to progress towards a proper/better understanding of what a mathematical proof is about. A teaching experiment carried out with students of 15 to 17 years-old attending the 10th and11thgrade (the two first years of secondary school) of a Portuguese school. The experience started in the10th grade and lasted in the 11thgrade. Our main focus is the analysis of primary and secondary relationships of geometric objects involved in argumentation and proof (in the sense of Godino et al. and Gutiérrez et al.) activated by the students during production of arguments. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/8441 |
ISBN: | 978-986-01-8210-1 |
Publisher Version: | http://www.mathunion.org http://www.math.mun.ca/~mkondra/papers/Volume_2.pdf |
Appears in Collections: | CIDTFF - Comunicações AGG - Comunicações |
Files in This Item:
File | Description | Size | Format | |
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799-350-1-SM.pdf | 43.34 kB | Adobe PDF | View/Open |
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