id: 06539006
dt: j
an: 2016b.00630
au: Abramovich, Sergei
ti: Combinatorics of the triangle inequality: from straws to experimental
mathematics for teachers.
so: Spreadsheets Educ. 9, No. 1, 18 p., electronic only (2016).
py: 2016
pu: Bond University, Faculty of Business, Gold Coast, Queensland
la: EN
cc: G99 K29 U79 G22
ut: preservice teacher education; spreadsheets; discovery learning;
experimental mathematics; triangle inequality; system of inequalities;
generalization; combinatorial geometry; educational media; realia;
triangles; squares; pentagons
ci:
li: http://epublications.bond.edu.au/ejsie/vol9/iss1/1/
ab: Summary: This article demonstrates the importance of skills in asking
questions and the value of spreadsheets in seeking answers in the
spirit of experimental mathematics. This is accomplished through an
activity with straws recommended for lower elementary mathematics
classrooms that was expanded to a combinatorial inquiry into the
triangle inequality. Whereas the article is a reflection on a
mathematics content and methods course taught by the author to
elementary teacher candidates, combinatorial explorations motivated by
an unexpected question by one of the candidates can be recommended for
mathematics education courses of higher ranks. As a result of these
explorations, a family of integer sequences (not included into the
OEIS) has been introduced.
rv: