id: 06458054
dt: j
an: 2015e.00390
au: El-Sahili, Amine; Al-Sharif, Nour; Khanafer, Sahar
ti: Mathematical creativity: the unexpected links.
so: Math. Enthus. 12, No. 1-3, 417-464 (2015).
py: 2015
pu: Information Age Publishing (IAP), Charlotte, NC; University of Montana,
Department of Mathematical Sciences, Missoula, MT
la: EN
cc: D50 E50 C40
ut: mathematical creativity; research; teacher interviews; student experiments;
lower secondary; upper secondary; proving; aesthetics; unexpected
links; teaching; problem posing; real functions and geometry;
inequalities and functions; triangles and prime numbers; linked
properties in a triangle; heights; bisectors; problem sets;
applications of mathematics to mathematics
ci:
li: http://www.math.umt.edu/tmme/vol12no1thru3/30_TMEvol12_ElSahilietal.pdf
ab: Summary: Creativity in mathematics is identified in many forms or we can
say is made up of many components. One of these components is The
Unexpected Links where one tries to solve a mathematical problem in a
nontraditional manner that requires the formation of hidden bridges
between distinct mathematical domains or even between seemingly far
ideas within the same domain. In this article, we design problems that
express unexpected links in mathematics and suit students of
intermediate and secondary levels. We prove their feasibility through
teachers’ testimonies and through introducing them in classrooms and
collecting students’ attitudes with respect to understanding and
interest. Results confirm that students can sense such component and
that designed problems had caught teachers’ and students’ interest.
rv: