A method for producing a steel melt containing up to 30% Mn, which can additionally contain up to 5% Si, up to 1.5% C, up to 22% Al, up to 25% Cr, up to 30% Ni, as well as up to 5% of each of Ti, V, Nb, Cu, Sn, Zr, Mo and W, as well as up to 1% of each of N and P, with balance iron as well as unavoidable steel-accompanying elements, with the steps of: - providing and using a heatable vessel which is capable of introducing large quantities of heat within a short period into a melt or into the materials to be smelted, having a specific heat output of more than 200 kW per tonne of produced melt or a Biot number of less than three, - charging the heatable vessel with a liquid iron melt or with solid iron-carrying charge materials or with a combination of liquid iron melt and solid iron-carrying charge materials, - adding a portion or the total quantity of basic slag formers consisting substantially of CaO, MgO or corresponding dolomites, the composition and quantity of the slag formers being defined as a function of the required Si content and the Si/Mn ratio, - then optionally smelting the solid iron carriers to form a low-alloy steel melt with a slag, - adding a portion or the total quantity of alloying element carriers containing Mn and/or Si, - then optionally adding further alloying element carriers, - heating and smelting the alloy carriers after or during charging, optionally together with the charged iron carriers and the slag formers or in the melt of the previously melted components, - optionally adding the remaining portion of slag formers and alloying element carriers, - reducing the produced slag quantity by adding low-carbon SiMn or SiFeMn having a reduced Si content and low portions of accompanying elements, wherein the SiMn or SiFeMn contains less than 10% Si and the heat obtained by silicon thermal reduction of iron and manganese oxides with formation of SiO 2 is applied for smelting the lime and iron ore, - adding silicon-containing charge materials in combination with manganese ore or combined iron/manganese ores, optionally by simultaneous charging or by adding the silicon-containing charge materials with simultaneous or subsequent heating and subsequent addition of the manganese ore or combined iron/manganese ores, - adjusting slag viscosity by adding flux agents containing Al 2 O 3, SiO 2 or CaF 2, - finally removing the slag and alloying with aluminium to the desired content. - providing and using a heatable vessel which is capable of introducing large quantities of heat within a short period into a melt or into the materials to be smelted, having a specific heat output of more than 200 kW per tonne of produced melt or a Biot number of less than three, - charging the heatable vessel with a liquid iron melt or with solid iron-carrying charge materials or with a combination of liquid iron melt and solid iron-carrying charge materials, - adding a portion or the total quantity of basic slag formers consisting substantially of CaO, MgO or corresponding dolomites, the composition and quantity of the slag formers being defined as a function of the required Si content and the Si/Mn ratio, - then optionally smelting the solid iron carriers to form a low-alloy steel melt with a slag, - adding a portion or the total quantity of alloying element carriers containing Mn and/or Si, - then optionally adding further alloying element carriers, - heating and smelting the alloy carriers after or during charging, optionally together with the charged iron carriers and the slag formers or in the melt of the previously melted components, - optionally adding the remaining portion of slag formers and alloying element carriers, - reducing the produced slag quantity by adding low-carbon SiMn or SiFeMn having a reduced Si content and low portions of accompanying elements, wherein the SiMn or SiFeMn contains less than 10% Si and the heat obtained by silicon thermal reduction of iron and manganese oxides with formation of SiO 2 is applied for smelting the lime and iron ore, - adding silicon-containing charge materials in combination with manganese ore or combined iron/manganese ores, optionally by simultaneous charging or by adding the silicon-containing charge materials with simultaneous or subsequent heating and subsequent addition of the manganese ore or combined iron/manganese ores, - adjusting slag viscosity by adding flux agents containing Al 2 O 3, SiO 2 or CaF 2, - finally removing the slag and alloying with aluminium to the desired content.