A method for learning cutting of non-metallic materials by a static machine, comprising the following steps: - a cutting exercise being selected in a digital management unit, a virtual static machine, chosen in a library of machines of the management unit with an appropriate cutting mechanism (8a to 8d), is projected as a stereoscopic image onto a cutting table and seen by an operator equipped with a three-dimensional 3D display; - according to the exercise, a tangible workpiece (70 to 74) to be virtually cut up, detectable in position and comprising at least one magnetic interaction face (F1, F2), is virtually constituted by a material chosen within a library of materials of the management unit, the materials being defined by at least one hardness image; - the tangible workpiece to be virtually cut up (70 to 74) and the operator are equipped so as to be captured by stereoscopic imaging for tracking positions, orientations and movements; the learning process characterised in that it comprises the following steps: - an electromagnetic reaction force, which initially equips the cutting table, is controlled in intensity by the management unit according to the exercise selected, to the hardness of the material, to the position of the workpiece to be cut up (70 to 74) and/or to the movements/orientations of the operator so as to interact, during the advance of said workpiece (70 to 74), with at least one ferromagnetic face (F1, F2) of this workpiece (70 to 74) in order to exert a resistance to the advance of the cut corresponding to that generated by a real machine of the same type; - at least one safety area (Z1 to Z3) is projected around the cutting mechanism (8b, 8b, 84) of said virtual machine, the dimensions of this area being adapted to the cutting mechanism chosen (8b, 8b, 84), and an alarm is triggered in the case of infringement of at least one safety area (Z1 to Z3); and - a learning level of the operator is evaluated by an analysis of the execution of the exercise on the basis of rate of success of criteria relating to the cut regularity and/or the speed of execution, the positioning of the operator with respect to an ideal positioning and the adherence to safety with regard to the proximity of the safety area or areas (Z1 to Z3). - a cutting exercise being selected in a digital management unit, a virtual static machine, chosen in a library of machines of the management unit with an appropriate cutting mechanism (8a to 8d), is projected as a stereoscopic image onto a cutting table and seen by an operator equipped with a three-dimensional 3D display; - according to the exercise, a tangible workpiece (70 to 74) to be virtually cut up, detectable in position and comprising at least one magnetic interaction face (F1, F2), is virtually constituted by a material chosen within a library of materials of the management unit, the materials being defined by at least one hardness image; - the tangible workpiece to be virtually cut up (70 to 74) and the operator are equipped so as to be captured by stereoscopic imaging for tracking positions, orientations and movements; - an electromagnetic reaction force, which initially equips the cutting table, is controlled in intensity by the management unit according to the exercise selected, to the hardness of the material, to the position of the workpiece to be cut up (70 to 74) and/or to the movements/orientations of the operator so as to interact, during the advance of said workpiece (70 to 74), with at least one ferromagnetic face (F1, F2) of this workpiece (70 to 74) in order to exert a resistance to the advance of the cut corresponding to that generated by a real machine of the same type; - at least one safety area (Z1 to Z3) is projected around the cutting mechanism (8b, 8b, 84) of said virtual machine, the dimensions of this area being adapted to the cutting mechanism chosen (8b, 8b, 84), and an alarm is triggered in the case of infringement of at least one safety area (Z1 to Z3); and - a learning level of the operator is evaluated by an analysis of the execution of the exercise on the basis of rate of success of criteria relating to the cut regularity and/or the speed of execution, the positioning of the operator with respect to an ideal positioning and the adherence to safety with regard to the proximity of the safety area or areas (Z1 to Z3).