Resolved multi-wavelength and integral-field spectroscopic observations of galaxies allow a reconstruction of when and where within galaxies stars are formed. This can be pursued through a spatially resolved analysis of the fossil record or by observing more direct resolved probes of instantaneous star formation for galaxies across a range of redshifts. In order to obtain a picture of not just the unobscured but the overall star formation activity at all radii it is essential to account for spatial inhomogeneities in the dust distribution. I will report on lessons learned from studying tracers of star formation, dust extinction and dust re-emission on kiloparsec scales within galaxies from the peak epoch of cosmic star formation down to the present day. I will further pay attention to the new windows on resolved star formation that will soon be opened by JWST.