The current document is directed to methods and systems that provide semi-automated and automated training to technicians who use oral-cavity-imaging-and-modeling systems to accurately and efficiently generate three-dimensional models of patients' teeth and underlying tissues. The training methods and systems are implemented either as subsystems within oral-cavity-imaging-and-modeling systems or as separate system in electronic communication oral-cavity-imaging-and-modeling systems. The training methods and systems use an already generated, digital, three-dimensional model of a portion of the oral cavity of a particular patient or of a physical model of a portion of an oral cavity to compute a temporal, translational, and rotational trajectory of an oral-cavity-imaging-and-modeling endoscope, or wand, during a training scan. The temporal, translational, and rotational trajectory is used for a variety of different types of instruction and instructional feedback to facilitate training of technicians.
