You've helped them one at a time. The real understanding is how the ideas CONNECT — teach that next.
Leapford (the forced capture — a man captures by leaping a neighbour, and must) ×Skipjack (the multi-jump chain — capturing several pieces in one turn)
Your piece jumps one enemy and lands where it can jump another. Why must it keep going (Skipjack)?
Leapford then says: “After my piece captures once, I can always choose to stop there.” — is that right?
The link: the forced-capture rule is what turns one leap into a chain — Leapford makes Skipjack.
One forced leap sets up the next — the chain runs.
Slant (diagonal movement — an ordinary man steps one square diagonally, forward only) ×Kingsley (crowning — a man that reaches the far row becomes a king that moves both ways)
A man reaches the last row and becomes a king. What exactly does Kingsley change about Slant's movement?
Slant then says: “A crowned king moves the same way as an ordinary man — forward diagonals only.” — is that right?
The link: crowning extends the diagonal step both ways — Kingsley upgrades Slant.
Reach the far row, and the step goes both ways.
Capstone — play one checkers endgame together
Three rules, one endgame. Bring in the cast member for each.
A man leaps over a neighbour to capture — and must. Who?
Who do you bring in?
Reach the far row and become a king that moves both ways. Who?
Who do you bring in?
Control who is forced to move in the endgame. Who?
Who do you bring in?
The synthesis: capture by force, crown your men, and win the tempo battle — the shape of a checkers endgame.