A method for combating fungi, wherein the fungi, or the materials, plants, seed or the soil are treated with a fungicidally effective amount of a methyl .alpha.-arylacrylate substituted by a heterocyclic radical and having the general formula ##STR298## where R is C.sub.1 -C.sub.8 -alkyl, C.sub.2 -C.sub.8 -alkenyl, C.sub.1 -C.sub.4 -haloalkyl, C.sub.3 -C.sub.6 -cycloalkyl, C.sub.1 -C.sub.4 -alkoxy, C.sub.1 -C.sub.4 -alkylcarbonyl, C.sub.1 -C.sub.4 -alkoxycarbonyl, halogen or aryl, the aromatic ring being unsubstituted or substituted by C.sub.1 -C.sub.8 -alkyl, C.sub.3 -C.sub.6 -cycloalkyl, C.sub.1 -C.sub.2 -haloalkyl, C.sub.1 -C.sub.4 -alkoxy, halogen, cyano or nitro, Het is oxadiazolyl which is unsubstituted or substituted by methyl at a nitrogen atom and is bonded to A via a carbon atom, and A is ethenylene, ethylene, methyleneoxy or methylenethio.