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regarding the teaching thing, there's a book that wonderfully describes part of the process behind the "incremental learning", it's not a chess book btw. The book is "The Art of Learning" of Josh Waitzkin.

Really wonderful and insightful book. There's a small part about his vision in how to teach chess and in that part he also shares why he believes it's better to avoid the "learn all the rules than play" but instead to learn the rule incrementally by using actual pieces on the chess table in the most simple situations (2 or 3 pieces max). Then increase the complexity by adding pieces.

Obviously I'm going by memory so I might be a little incorrect into the explanation, but if you love the subject of learning and the subject of chess, the book is worth a look (in fact I'd advise to read the book to almost anyone).




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