Dynamic geometry contexts for proof as explanation
Jones, Keith (1995) Dynamic geometry contexts for proof as explanation. In, Healy, Lulu and Hoyles, Celia (eds.) Justifying and Proving in School Mathematics. London, GB, Institute of Education, 142-154.
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Providing a mathematics curriculum that makes proof accessible to school students appears to be difficult. This paper describes work carried out in a secondary school mathematics class in which students worked on tasks designed to enable them to experience the necessity of certain geometrical facts that are true in Euclidean geometry. In these tasks, the students were asked to construct figures using the dynamic geometry package Cabri-Géomètre such that each figure was invariant when any basic object used in the construction was dragged. It is argued that working on these tasks provided the students with suitable experiences to enable them to explain why these geometrical facts are necessarily true. The changing quality of the students' mathematical analysis suggests that working on suitable tasks with a dynamic geometry package may allow some students to develop an appreciation of proof as explanation.
|Item Type:||Book Section|
|Keywords:||teaching, learning, pedagogy, curriculum, appropriation, computer environments, deductive reasoning, proof, proving, dynamic geometry software, geometry, mathematical explanation, mediation of learning, quadrilaterals, secondary school|
|Subjects:||L Education > LB Theory and practice of education > LB2361 Curriculum
Q Science > QA Mathematics
|Divisions:||University Structure - Pre August 2011 > School of Education > Mathematics and Science Education
Faculty of Social and Human Sciences > Southampton Education School > Mathematics & Science Education
|Date Deposited:||11 Aug 2006|
|Last Modified:||11 Dec 2014 10:04|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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