I reviewed a 35MB .AVI file of the incident and this is the sequence of events:
Reaches in
Pulls out
Either unfolds and places or just places it, difficult to tell. Perhaps he flipped it (turned over)
Looks at it, looks at Lehrer
Reaches to the right
Uncaps a pen
Holds the pen up and begins to write
The clip I saw just showed his hand in his jacket pocket and making a turn to the podium.