The T-37 had very weird spin behavior. The recovery technique was to get full AFT stick first - so that if the spin was inverted there would be a recovery. Only then was the classic rudder against spin direction and full forward stick applied.
There is a Powerpoint here that explains it all
http://www.5oclock.org/StudentsSpinBrief.ppt A less detailed version is in this pilot report
http://www.airbum.com/pireps/PirepCessnaT-37.html How did the USAF accept this behavior - would it have passed UK certification?
Worf