Exploring grade eight students' development of geometric reasoning in a problem solving situation using dynamic geometry software. (c2010)

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dc.contributor.author Nassar, Olga Fahid
dc.date.accessioned 2010-09-29T11:58:08Z
dc.date.available 2010-09-29T11:58:08Z
dc.date.copyright 2010 en_US
dc.date.issued 2010-09-29
dc.date.submitted 6/10/2010
dc.identifier.uri http://hdl.handle.net/10725/124
dc.description Includes bibliographical references (leaves 103-110). en_US
dc.description.abstract Mathematics educators consider proof as central to the discipline of mathematics. However, the use of Dynamic Geometry Software (DGS), which enables students to create many examples of a single figure, raises questions about the importance of deductive proof. The Lebanese curriculum does not explicitly integrate the use of DGS in geometry teaching. However, some schools are including DGS activities in geometry classes. This study aims at exploring Lebanese students’ development of geometric reasoning in problem-solving situations requiring proving, using dynamic geometry software. Participants are a conveniently accessible group of grade 8 students, at a reputable private school in Mount-Lebanon. The group consists of 35 students, 12 females and 23 males coming from middle socioeconomic background. The study involves several techniques: a semi-structured interview with the teacher, development of a math teaching unit integrating the use of Cabri-Geometer, paper-pencil problem-solving situations requiring proofs prior to unit implementation, implementation of the unit, problem solving situations in DGS context which require proving, and clinical interviews with selected groups of students while solving proof problems. The proofs produced by students using paper-pencil were compared with proofs produced in a DGS context. In addition, the mental models of geometric reasoning of students using paper-pencil were compared with the mental models in DGS context. Data collected was analyzed according to a classification framework developed for this purpose. The following results were found: students were able to produce more correct figures using DGS than when using paper-pencil. They were also able to better experiment and explore the problem. This made them understand the problem and the theorems and properties it involves. Students produced more correct conjectures. Moreover, DGS figures provided students with tools to prove so they did not give any conjecture with no proof. Though some of the proofs produced were empirical most of the proofs reflected more understanding of the concepts. Moreover, while students focused, in the paper-pencil quiz, on the format of proofs produced, they rather focused, in the DGS quiz, on the content and logic of proofs produced. en_US
dc.language.iso en en_US
dc.subject Geometry -- Study and teaching (Middle school) -- Lebanon en_US
dc.subject Geometry -- Computer-assisted instruction en_US
dc.title Exploring grade eight students' development of geometric reasoning in a problem solving situation using dynamic geometry software. (c2010) en_US
dc.type Thesis en_US
dc.term.submitted Spring en_US
dc.author.degree MA in Education en_US
dc.author.school Arts and Sciences en_US
dc.author.idnumber 199706040 en_US
dc.author.commembers Samer Habre
dc.author.commembers Mona Nabhani
dc.author.woa OA en_US
dc.description.physdesc 1 CD-ROM + 1 bound copy: xv, 157 leaves; ill.; 31 cm. available at RNL. en_US
dc.author.division Education en_US
dc.author.advisor Iman Osta El-Zein
dc.identifier.doi https://doi.org/10.26756/th.2010.6 en_US
dc.publisher.institution Lebanese American University en_US
dc.author.affiliation Lebanese American University en_US

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