How to "mount" acoustic foam ?


My main system is in my partially unfinished basement.
While I have finished the ceiling and have nice floors / rugs - I do like the industrial / rough look of the concrete walls....I just finished painting them but don't want to install any sheetrock / finishing material.
Instead I want to buy acoustic foam (2inch depth squares) and mount them to the walls - front / back and sides
And here are my questions:
1. Should I just use glue and apply the foam squares directly to the wall ?
 - IF YES - what glue should I use? I know there is the special construction glue for laying floors etc..... I now they sell it also for concrete and stone application - sold in caulk like tubes 
2. Should I first apply the foam  to a plywood / wood and anchor that to the floors ?
 - IF YES - I would imagine a few concerns: 
-  Will that wooden structure bring about sound resonance that I am actually trying to control ? (Wood isn't as bad as concrete but still....) 
-  Will I have to add a layer of caulk or similar filler between the wall and  the wooden panel? Obviously the concrete walls are not super smooth so the wood panels will not be in perfect and uniform contact. They will be held rigid with the specialty screws drilled into the walls....but still 
- What type of panels should I use....I was thinking anything from very thin cardboard like materials (to minimize any resonance from wood) to 1/2 inch plywood for rigidity.
IN SUMMARY: 

 I am leaning for the 1/8inch thick boards - In my mind it would provide smooth surface to mount the foam onto, retain the acoustic profile of the foam, and then just hold it all in place up on the wall with 4 bolts (each corner)

Anyhow....Any other tips and advice about proper installation would be appreciated.

Thank you!! 
ether
What we have here is simply the difference between experience and idle speculation. Of course foam seems like a good idea. That’s kind of my while point. Plus you’ve got the fact that many recording studios have been using SONEX or similar foam panels like forever. So, it’s no wonder that audiophiles get behind foam so strongly and why expectation bias is so powerful in this case. Most likely gdhal is experiencing the Backfire Effect here, more convinced than ever he must be right. 😛
Most likely gdhal is experiencing the Backfire Effect here, more convinced than ever he must be right.

I ain't often right, but I've never been wrong.

gdhal, my absolute favorite comment of yours is, “I wasn’t aware fuses could be upgraded.”
That’s priceless.
@geoffkait

You do realize that I’m very much aware that you’re "following me" throughout the forum from thread-to-thread and post-to-post. Splendid! You could learn something.

As to what you regard as priceless: "Money, who needs it, let me live a life free and easy".