In aqueous solution the potential of the standard hydrogen electrode is defined as 0. volts. The standard conditions are: all activities, fugacities, molarities equal to one [1.]. By DEFINITION in a cell Oxidation is at the Anode and Reduction is at the Cathode. Now comes the dilemma How do we write a standard redox equation?
Na +1/2H3O+ = Na+ + 1/2H2 + H2O; E = ~+2.8V oxidation at the anode. Or
Na+ +1/2H2 + H2O = Na + H3O+ E = ~-2.8V reduction at the cathode!
Way back when, the Europeans liked the first and the Americans liked the second. As usual they fought it out and decided on the second [It was preferred that Sodium ions did not react with water than that Sodium did react explosively with water.] but you can still reverse everything when necessary.
Physicists are still confused because they consider electric current as the flow of +charge not as [we know it] the flow of electrons.
Sodium reacts violently with water. It is oxidized. the oxidation potential is positive [+]. Sodium ion is reduced with difficulty in water. The reduction potential is negative [-].
Finally, it is the nature of aqueous solution that the potentials for H2 are "central". Some species [Na+, Ca++ etc.] are reduced with difficulty and have negative reduction potentials. Others such as O2, F2, Cl2, MnO4- etc. are reduced easily and have positive reduction potentials. There is a large range in between. Of course, if one prefers to work with oxidation potentials everything is reversed.