ERIC Number: EJ994533
Record Type: Journal
Publication Date: 2012
Pages: 14
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Available Date: N/A
High School Students' Perceptions of Geometrical Proofs Proving and Refuting Geometrical Claims of the "for Every..." and "There Exists" Type
Patkin, Dorit
International Journal of Mathematical Education in Science and Technology, v43 n8 p985-998 2012
Proving and refuting mathematical claims constitute a significant element in the development of deductive thinking. These issues are mainly studied during geometry lessons and very little (if at all) in lessons of other mathematical disciplines. This study deals with high school students' perceptions of proofs in the geometry. The study explores whether students know when to use a deductive proof and when an example is sufficient for proving or refuting geometrical claims. The findings indicate that in cases of simple claims, the students corroborate them by using a deductive proof. However, when the claim is more complex, the students tend to present both a proof and an example. Moreover, they are unsure whether using an example can constitute a method for proving a mathematical claim, believing that in mathematics everything must be proven. They believe that examples are used merely for illustration purposes rather than as a means of convincing. The research conclusions support the need for deepening and developing the students' distinction between cases where examples are insufficient and cases where an example is sufficient for proving a claim. (Contains 2 tables and 3 figures.)
Descriptors: Secondary School Students, Geometry, Grade 10, Mathematics Education, Mathematics Instruction, Geometric Concepts, Mathematical Logic, Validity, Student Attitudes, Mathematics, Algebra
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: Grade 10; High Schools; Secondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A

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