Investigating A Problem Is Exploring A Landscape
-- 1 We've got to explore this problem.
-- 2 We've got to survey the problem.
-- 3 Let's map out the problem before we do anything else.
Trying To Solve A Problem Is Looking For Solution In The Landscape
-- 1 I think we're headed in the right direction.
-- 2 How close are we to finding a solution?
-- 3 The solution still lies far ahead.
-- 4 We aren't getting any nearer to an answer.
-- 5 Let's not leave any stone unturned.
Approaches To A Solution Are Paths In Landscape (a.k.a. Reasoning is Following a Path, Thinking is Moving)
-- 1 Let's follow this line of thinking.
-- 2 Are we all thinking along the same lines.
-- 3 Don't go off on tangents.
-- 4 Let's get our thinking back on track.
-- 5 Are we all going in the same direction?
Evidence Is A Guide In The Search
-- 1 The evidence all points in the same direction.
-- 2 This evidence doesn't tell us where to start.
-- 3 The evidence led us straight to the killer.
Failing To Solve Is Failing To Locate Object In Landscape
-- 1 We're going around in circles.
-- 2 The answer could be right in front of us, we're just not seeing it.
Note: is a mobile entity, and one where the solution is buried.
-- 1 We finally tracked down a solution.
-- 2 It was an elusive answer.
-- 3 The answer kept evading us.
see SEEKING IS HUNTING, IDEAS ARE MOVING OBJECTS.
-- 1 This problem has a buried solution.
-- 2 He unearthed the answer.
-- 3 The solution finally was brought to light.
-- 4 He uncovered the answer.
-- 5 He dug into the problem.
-- 6 He dug for the solution.
Also related to Mental metaphor of IDEAS ARE LOCATIONS