Resolve to do better. This means that you abandon the set piece approach of rote and repetition and become alert to often small anomalies.
As a technician this means that you don't rely on the same old cure or solution even though the problem seems to be almost the same.
As a technologist you don't create the same construction without thought thereby overlooking the fact that it may not meet all the needs.
As a scientist you don't dismiss creative new solutions and answers simply because it means leaving the familliar and comfortable.
Formal education too often comprises learning the tricks, regurgitating by rote, and conforming to the established concepts and precepts.
As an individual, resolve to rise beyond this and develop an eye and mind for the apparently insignificant.
This is where discovery lies.
Galileo is reported to have muttered under his breath "and yet it does move" as he was leaving the gathering that condemned his "heresy".
Do the research, study the trivia, make the connections, think new thoughts. The established wisdom seldom leads to discovery.
Do some research on the internet. The often haphazard arrangement of sites on the world wide web is a great resource in itself.
Give yourself some time to wander through the links. The potential for serendipity is enormous. It's a lateral thinking machine.
Let your nose for trivia pick up those strands of ideas that will create the powerful new insights for tomorrow.
Do not let intellectual snobbism prevent you from harvesting the rich lode of new thoughts that are there to reap.
Have a little fun. Play a little. Let your mind wander. Savor the trivial bits where ever you find them.

Lighten up. Do not confuse attention to detail with a rigid linear approach.
A confusing and disorganized place like the world wide web can lead to chance discoveries. Go for it.
Don't close your mind to the unusual, the aberration, the anomaly. Dig a little deeper.

The Science of Serendipity
BBC: The Serendipity of Science
Serendipity: Science and Discoveries

Science and You