id: 06560933
dt: j
an: 2016c.00936
au: Garcia, Jorge
ti: Encouraging optimization of energy.
so: Teach. Child. Math. 21, No. 9, 560-564 (2015).
py: 2015
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: M42 K32 N62
ut: graph theory; primary education; student activities; student presentations;
mathematical models; visualization; graphs; optimal paths; efficient
paths; Euler paths; pattern descriptions; mathematical applications;
ecology; optimization
ci:
li: http://www.nctm.org/Publications/Teaching-Children-Mathematics/2015/Vol21/Issue9/Encouraging-optimization-of-energy/
ab: From the text: Designing strategies to optimize energy is a concern that we
face in our daily lives. Scientists in different fields often encounter
situations in which they need to optimize. For instance, engineers
frequently minimize the material used in construction, and biologists
advise on spending the least amount of non-renewable natural resources.
Additionally, employees in the business world who travel might visit
multiple locations and want to reduce travel time and expenses.
Avoiding using the same road twice would minimize backtracking and
costs associated with it (this becomes the Traveling Salesman problem).
In our daily schedules, we find ourselves running such errands as
visiting stores, the school, and the bank, and we often plan our routes
to save gas and time. We could design a delivery map in our heads, then
sketch it on paper, representing each location with a dot and
representing roads between those locations with lines. People in a
branch of mathematics called graph theory commonly call a diagram
consisting of dots and lines a graph. The activity presented here
corresponds to a variety of mathematics concepts.
rv: