What we are (re)learning on the Pathway to Petascale:

• It is no mere coincidence that 5/7 of "default" is "fault"

• If we don't model what we teach, we are teaching something else. (start with the science, keep going back to the science)

• Computation vs. Communication Defines "Big Data"

• Mapping the Science vs. Mapping the Math

• It takes a network of villages: XSEDE