> 1. Your book will have to be different from any I have read. Correct, otherwise there is no point in writing the book.
> 3. On reflection, most maths books are impenetrable because they go from > the general to the particular. My belief is that paedagogically the > reverse works better: Use a concrete example as an introduction to an > abstract concept. Very good suggestion. Let me add 4. Answer the question "why". "Why should I care what 2x+3x is?" 5. Make it stick together. Many books seem to not be concerned with that and chapter N+1 is very little connected to chapter N. This is most likeley for books that covers many topics, but I think this point is important.