From the author’s viewpoint the appearance of method sheets in most of textbooks for mathematics is related to the work on heuristics carried out by researchers in Artificial Intelligence. He reports about the research of a group which – disappointed by the result of M. Anderson – tried to develop an « intelligent » software in elementary geometry, discussing some principles and methods of Artificial Intelligence: The representation of and the base for knowledge, the base of facts, pattern matching, the way of concluding, and about the Expert System in Al. Main problem: in geometry heuristic starts from the figure and software cannot « see » figures. Conclusion: No intelligent software is able to compete with a teacher; on the other hand important progress has taken place and a certain number of dead ends have been clearly recognised. « But decisive progress raises from discourse in educational acts, activating metacognition, and from scientific debate in classroom; in this respect method sheets prove largely insufficient. (ZDM/Mathdi)