Definition of plane confuse a lot of folks. This video may not use the same terminology as TGM, but it has some very important visuals.
If you want to keep it simple just explain 3 of the five planes, the hands, elbow and the turned shoulder planes with single and double shifts. I explain this in every lesson with video or still pictures of tour players and have not had a problem with confusing the golfer. I feel the golfer needs to know this correct understanding of what is going on with swing planes. How do you teach swing planes?
By paying attention to the hands, PP#1's travel. (see drills section)
A lot of folks get hung up paying attention to the shaft, but IMO it is far, far simpler to look at the hands and their travel.
Snead's "Wagon Wheel" and a focus on the hands are much easier to teach and explain than plane shifts etc. Within Homer's views of plane, I understand where he was coming from, but I think a LOT of people forget how he defined plane - "center of gravity" Per 2-F - not shaft.
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"Support the On Plane Swinging Force in Balance"
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Simplicity buffs, see 5-0, 1-L, 2-0 A and B 10-2-B, 4-D, 6B-1D, 6-B-3-0-1, 6-C-1, 6-E-2