Please print this out, if it will help you read my checkers articles.
The Numbered Board: This is the numbered board, as used all over the world. A move is read as from-to. For example, 11-15 is "from 11 to 15." A multiple jump is recorded as just two numbers, unless that pair of numbers is ambiguous, then the intervening squares are shown: 2-11-18, for example. Using the numbered board is actually no more difficult to use than the algebraic coordinates of chess, once you get used to the notation.
Some abbreviations: WW = White wins, RW = Red wins, * = the only move (to win or draw), PP = published play.
Note that even though the game of checkers is played on the dark squares of the board, in checkers diagrams the pieces are on the light squares, to enhance readability. Note also that the official colors for the pieces are red and white. In older publications, they are called black and white. If you have a checker set with black and red pieces, the black pieces are called red, and the red pieces are called white. Sorry, that's the way it is.