Maybe try:
Logical Chess: Move by Move by Irving Chernev (1957)
https://web.archive.org/web/20140708104437/http://www.chesscafe.com/text/logichess.pdf
Winning Chess by Irving Chernev and Fred Reinfeld (1948)
https://web.archive.org/web/20140708093415/http://www.chesscafe.com/text/review919.pdf
My 4.5 year old is on a chess kick recently and I’m looking for fun apps, books, etc to do with him. Any suggestions? I’m a beginner myself (learned how the pieces move as a young kid and never advanced beyond that), so we’ve been having fun learning together. He’s a little young for a full game, but a kid in his pre-K class taught him how the pieces move and ever since he’s obsessed. We have a deck of children’s chess cards that we use when we play together, to simplify things a bit (basically draw a card and you get to move the type of piece shown on the card). We also have a book ‘100 Easy Checkmates’ that he uses to set up puzzles on his board, and he’s gotten pretty good at solving them and reading the board coordinates. He also likes to do puzzles and tutorials on the ChessPro app and other websites with me. Looking for fun ideas to encourage his interest (and mine!). TIA