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In order to support students in the development of expertise in quantummechanics, we asked which concepts and structures can act as organizingprinciples of the non-relativistic theory. The research question has beenaddressed in a multi-step process based on the analysis of categorizationstudies, on a content analysis of a sample of undergraduate textbooks and onthe results of existing research on learning difficulties. The answer consistsin seven concept maps, intended as models of the organizing principles ofquantum knowledge needed to account for the results of measurement and timeevolution. By means of these instruments, it is possible to visualize andexplore the different facets of the interplay between the vector structure ofthe quantum states and the operator structure of the observables, and tohighlight the educational significance of the relations between observables.The maps can be used by instructors as a support for helping students build awell-organized knowledge structure and by researchers as a basis for the designof investigations into student understanding. While this framework may beadapted to different approaches and interpretive stances, it providesindications in favor of a spin-first approach over a waves-first one.

Analyzing the structure of basic quantum knowledge for instruction