Exactly in that way I have connected them.A plug and jack that use 3 wires for tip, ring and sleeve are for stereo. With mono then usually 2 wires plugs and jacks are used that have only tip and sleeve.
Since you have the wrong plug and jack for mono then connect the signal wire to the tip, connect the (grounded) shield wire to the sleeve and connect nothing to the ring.
The problem is that when I stick the jack in the plug I hear a bad noise with no music, but when I let the jack half sticked in the plug the music is playng.
I had switched the wire connected to the tip, to the Ring, ( I presumed that it will be working, but I was wrong).
I can't get where is the problem!?!