A magnetic field sensor (100,200) includes a substrate (102,202) and first and second magnetic field sensing elements (104, A-D) responsive to a magnet, comprising first and second magnetoresistance elements, respectively. At one or more positions of the magnet relative to the first and second magnetic field sensing elements while the magnet is stopped moving, at least one of the magnetic field sensing elements is in saturation in response to the magnet. A third magnetic field sensing element (E) proximate to the first and second magnetoresistance elements is operable to generate a third magnetic field sensing element signal responsive to the magnet, wherein, at the one or more positions while the magnet is stopped moving, the third magnetic field sensing element is not in saturation in response to the magnet or saturates at a higher magnetic field than the first and second magnetic field sensing elements in response to the magnet.