id: 05877764
dt: j
an: 2011b.00484
au: Tabach, Michal; Barkai, Ruthi; Tsamir, Pessia; Tirosh, Dina; Dreyfus, Tommy
ti: Verbal justification-is it a proof? Secondary school teachersâ€™
perceptions.
so: Int. J. Sci. Math. Educ. 8, No. 6, 1071-1090 (2010).
py: 2010
pu: Springer Netherlands, Dordrecht
la: EN
cc: E59 C29 F69
ut: teacher knowledge about proofs; verbal proof; verbal justification;
secondary school teacher views; elementary number theory; empirical
investigations; educational research
ci:
li: doi:10.1007/s10763-010-9230-7
ab: Summary: 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
studentsâ€™ 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.
rv: