The invention relates to a method and an apparatus for injection molding parts, which comprises a mixture of at least one plastic material and at least one additive in the form of fibrous or powdered fillers or reinforcement materials. The method comprises the following steps: a) plasticizing a mixture of the plastic material with the fillers or reinforcement materials, in a reciprocating screw plasticizing and injection unit, by rotating a plasticizing and injection screw, which is disposed in a preplasticizing cylinder so that it can move rotationally and axially; b) expelling the plasticized mixture of plastic material and filler or reinforcement material by the axial movement of the plasticizing and injection screw, from the reciprocating screw plasticizing and injection unit, into a mixing element; c) homogenizing the mixture of plastic material and filler or reinforcement materials in the mixing element, by a mixer, which is disposed movably in the mixing element and which is driven by a mechanical drive; and d) expelling the homogenized mixture of plastic material and filler or reinforcement materials from the mixing element into an injection molding tool. The combination of a reciprocating screw unit and a “dynamic mixer” achieves a gentle processing especially of long-fiber additives.