The objectification of the right-angled triangle in the teaching of the Pythagorean Theorem: an empirical investigation.
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| Title: | The objectification of the right-angled triangle in the teaching of the Pythagorean Theorem: an empirical investigation. |
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| Authors: | Moutsios-Rentzos, Andreas1 amoutsiosrentzos@aegean.gr, Spyrou, Panagiotis2, Peteinara, Alexandra2 |
| Source: | Educational Studies in Mathematics. Jan2014, Vol. 85 Issue 1, p29-51. 23p. |
| Subject Terms: | *Geometry education in secondary schools, *Secondary education, *Teenagers, *Education, Pythagorean theorem, Right angle, Pythagorean triples, Triangles |
| Abstract: | In this paper, we present the design and the results of a teaching experiment carried out to investigate the hypothesis that it is feasible to facilitate the students' possibility for experiencing the reactivation of the objectification of the right-angled triangle. For this purpose, a teaching design of the Pythagorean Theorem was developed and taught to an experimental class of 14-year old students. The results of our teaching were compared with a control class with the employment of a questionnaire and semi-structured interviews. The quantitative and qualitative analyses supported our hypothesis that the students of the experimental class would develop qualitatively different understandings of the theorem than the control class, thus suggesting their possibility for experiencing the reactivation of the objectification of the right-angled triangle. [ABSTRACT FROM AUTHOR] |
| Copyright of Educational Studies in Mathematics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Education Research Complete |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: ehh DbLabel: Education Research Complete An: 92998998 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s10649-013-9498-y Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 23 StartPage: 29 Subjects: – SubjectFull: Geometry education in secondary schools Type: general – SubjectFull: Secondary education Type: general – SubjectFull: Teenagers Type: general – SubjectFull: Education Type: general – SubjectFull: Pythagorean theorem Type: general – SubjectFull: Right angle Type: general – SubjectFull: Pythagorean triples Type: general – SubjectFull: Triangles Type: general Titles: – TitleFull: The objectification of the right-angled triangle in the teaching of the Pythagorean Theorem: an empirical investigation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Moutsios-Rentzos, Andreas – PersonEntity: Name: NameFull: Spyrou, Panagiotis – PersonEntity: Name: NameFull: Peteinara, Alexandra IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Text: Jan2014 Type: published Y: 2014 Identifiers: – Type: issn-print Value: 00131954 Numbering: – Type: volume Value: 85 – Type: issue Value: 1 Titles: – TitleFull: Educational Studies in Mathematics Type: main |
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