These are the types of TOPICS I would COVER in a lesson for each level of ability
Beginner
Introduce key ideas like:
which checkers to move as a priority
fighting for the key points, the five point
basic strategy and game types
hitting or not hitting
opening rolls
very basic probabilities
slotting a point
rules such as: Crawford Rule, Jacoby Rule
introduction to doubling strategy
Intermediate
Refining ideas above PLUS:
how to manage holding games in general, when to double, when to take or pass
when to volunteer shots
making, maintaining and leaving advanced anchors
how to blitz
how to count generally in backgammon
more advanced probability calculations
how to play the second roll
doubling and particularly more focus on using the doubling dice when you have the opportunity
general theory of match play and strategy, escaping the back checkers, basic holding game concepts and reference positions, importance of relative board strengths, importance of keeping checkers in play
Advanced/Expert
Identifying general error patterns, like missing cubes, running too soon from anchors
Paying now or paying later
More advanced blitzing strategies
More focused opening game study including doubling reference positions
Basic back-game and some back-game cube action
containment games
Playing the checkers with the impact of the doubling cube in mind
More focused match strategy study
Match equities and match equity calculations and generally impact of the score, advance holding game concepts
World-class
Working with specific areas identified as error patterns
Trying to identify why errors are repeated and where the stumbling block is
focus on counter-intuitive and positions where moves not available through simple pattern recognition
improving cube action through dice roll analysis for both the player on roll and the opponents subsequent roll
working on thought process and how to think through a checker play or doubling decision
work on psychological aspects, awareness of emotional state when playing
roll-outs and analysis biases in eXtreme gammon and discrepancies between lower and higher levels of analysis.
Review of your recorded matches
I have a knack for being able to identify error patterns and will look through your matches to identify yours. Usually five longer matches is enough. I can give you the analysis as a report or in an online session or both.