ERIC Number: EJ905073
Record Type: Journal
Publication Date: 2010-Dec
Pages: 20
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1571-0068
EISSN: N/A
Available Date: N/A
Verbal Justification--Is It a Proof? Secondary School Teachers' Perceptions
Tabach, Michal; Barkai, Ruthi; Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy; Levenson, Esther
International Journal of Science and Mathematics Education, v8 n6 p1071-1090 Dec 2010
According to reform documents, teachers are expected to teach proofs and proving in school mathematics. Research results indicate that high school students prefer verbal proofs to other formats. We found it interesting and important to examine the position of secondary school teachers with regard to verbal proofs. Fifty high school teachers were asked to prove various elementary number theory statements, to write correct and incorrect proofs that students may use, and to evaluate given justifications to statements from elementary number theory. While all the participants provided correct proofs to the statements, our findings indicate that teachers are not aware of students' preference for verbal justifications. Also, about half of the teachers rejected correct verbal justifications. They claimed that these justifications lacked generality and are mere examples.
Descriptors: Secondary School Teachers, Number Concepts, Mathematics Instruction, Mathematics Teachers, Mathematical Logic, Validity, High School Students, Student Attitudes, Interpersonal Communication, Teacher Student Relationship, Verbal Communication
Springer. 233 Spring Street, New York, NY 10013. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-348-4505; e-mail: service-ny@springer.com; Web site: http://www.springerlink.com.bibliotheek.ehb.be
Publication Type: Journal Articles; Reports - Research
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A