There is a series of lovely ponds throughout this area.
Some areas are very well marked!
Look for a large kiosk near entrance right off Route 28.
There are inner areas that are semi-marked off, but just to keep motorized vehicles out.
This is far over at the Foster's Pond end, away from Goldsmith proper.
There are great sights even on a foggy winter day.
This path leads to another great spot...
Path ends at a magical spot.
Look for picnic tables overlooking ponds.
Lots of tall pine forests overhead.
Hardwoods framing a view of the pine woods.
Stone walls tell us this was also farmland many years ago.
Lots of good trail signs in these woods.
There is a lot to see in this rich environment of forest, wetland, and open water, with many boardwalks.
More Resources:

Andover Town Page for Foster's Pond
Trails maps and more info.

All Trails for Goldsmith Woodlands and Foster's Pond
Trails maps and more info.

AVIS guide to Wilkinson
Trails maps and more info.

AVIS guide to Goldsmith
Trails maps and more info.