
06426617
j
2015c.00682
Contreras, Jos\'e
Solving optimization problems with dynamic geometry software: the airport problem.
J. Math. Educ. Teach. Coll. 5, No. 2, 1727 (2014).
2014
Teachers College (TC), Columbia University, New York, NY
EN
G40
U70
E50
geometric optimization problems
problem solving
computer as educational medium
dynamic geometry software
visualization
plane geometry
triangles
circles
airport problem
minimum sum of distances
proofs
investigations
justifying
proving
conjecturing
experiments
http://journals.tclibrary.org/index.php/matheducation/article/view/1041/645
Summary: This paper describes how the author's students (inservice and preservice secondary mathematics teachers) enrolled in college geometry courses use the Geometers' Sketchpad (GSP) to gain insight to formulate, confirm, test, and refine conjectures to solve the classical airport problem for triangles. The students are then provided with strategic hints to develop a mathematical proof to justify the conjecture discovered with the help of GSP.