The invention discloses a third-order magic cube for training, which comprises an angle cube, an edge cube, a middle cube and a middle connecting device. The corner cube has three color layers, the edge cube has two color layers and the middle cube has one color layer. One surface of three of the four upper cubes has a first color layer with the same color, and the remaining color layers on the corner cube, the edge cube and the middle cube are second color layers. The invention also provides a method (called tension-torsion method) for changing edges and angles, namely "f' l" ruru' r "or" R(MR)UR'u'(MR')R ". The third-order Rubik's cube for training is simple in structure, convenient to use and low in manufacturing cost; This method overcomes the shortcoming that the existing formula for changing sides also brings about corner box transformation, and realizes the purpose of changing sides without changing angles.