The invention relates to a method for producing acrolein by dehydrating an aqueous glycerin phase in an acrolein reaction region, obtaining an aqueous acrolein reaction phase; at least partially separating the aqueous acrolein reaction phase into an acrolein-rich acrolein phase and an acrolein-poor residual phase comprising glycerin, water and various other residuals; and recirculating at least part of the residual phase into the acrolein reaction region. Additionally, removing at least one of the residuals, other than glycerin or water, from either of the glycerin phase or a mixture phase obtained by mixing the glycerol phase with the low-acrolein residue phase and feeding the resulting purified glycerin or mixture phase into the acrolein reaction region. The invention furthermore relates to a method for producing acrylic acid, water-absorbing polymer formations, compounds and hygiene articles, and to devices for carrying out those methods.