Consider the mod 2 homology spectral sequence associated to a cosimplicial space X. We construct external operations whose target is the spectral sequence associated to E Sigma(2) x (Sigma 2) (X x X). If X is a cosimplicial E-infinity-space, we couple these external operations with the structure map
E Sigma(2) x (Sigma 2)(X x X) -> X
to produce internal operations in the spectral sequence. In the sequel we show that they agree with the usual Araki-Kudo operations on the abutment H-* (Tot X). (C) 2012 Elsevier B.V. All rights reserved.