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Articles

Exploring Logical Reasoning and Mathematical Proof in Grade 6 Elementary School Students

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Pages 70-89 | Published online: 28 Feb 2013
 

Abstract

Research and classroom experience reveal that the construction of mathematical proofs is difficult for all students. While many contemporary mathematics curricula recognize the importance of teaching reasoning and proof, in Greece these concepts are introduced at the secondary education level. In this study, we will attempt to investigate a group of 19 grade 6 elementary school students’ ability to reason logically, to justify an argument, and to prove mathematical conjectures. The results of this study indicate that, even though the process of justification is difficult for students, they were able to demonstrate skills related to mathematical proof.

Résumé

La recherche et l’expérience pratique en classe montrent que la construction des preuves mathématiques est difficile pour tous les élèves. Bien que de nombreux curriculums de mathématiques reconnaissent l’importance de l’enseignement des preuves et du raisonnement, en Grèce ces concepts sont introduits au niveau secondaire. Dans cette étude, nous tenterons d’analyser les capacités d’un groupe de 19 élèves de 6ème élémentaire lorsqu’ils doivent faire des raisonnements logiques, justifier un argument et prouver des hypothèses mathématiques. Les résultats de cette étude indiquent que le processus de justification est difficile pour les élèves, mais que ceux-ci s’avèrent assez habiles lorsqu’il s’agit de preuves mathématiques.

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