
06458054
j
2015e.00390
ElSahili, Amine
AlSharif, Nour
Khanafer, Sahar
Mathematical creativity: the unexpected links.
Math. Enthus. 12, No. 13, 417464 (2015).
2015
Information Age Publishing (IAP), Charlotte, NC; University of Montana, Department of Mathematical Sciences, Missoula, MT
EN
D50
E50
C40
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
http://www.math.umt.edu/tmme/vol12no1thru3/30_TMEvol12_ElSahilietal.pdf
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.