Fill any cracks in the sidewalk's surface with concrete repair compound, applied through a caulking gun. Push the compound into the crack and scrape away excess compound with a putty knife.
Cover the expansion joints in the sidewalk with duct tape, so that you don't accidentally fill them with concrete.
Mix concrete in a five-gallon bucket as directed by the manufacturer and pour it onto the surface of the sidewalk. While you spread a consistent layer of concrete over the top of the sidewalk with a float, have an assistant mix a new batch of concrete. Keep mixing, pouring and spreading until the sidewalk is covered. Do not cover the duct-tape-protected expansion joints.
Add traction to the sidewalk by brushing the surface with a push broom. Pull up the duct tape immediately after brushing, before the concrete hardens.
Allow the surface to harden for 24 hours. Coat the top with masonry sealant, applied with a paint roller.