A mole is a measure of number of particles of anything. This number is 6.02x10^23, I think. So regardless of relative atomic mass, a mole of carbon atoms has exactly the same number of particles in it than a mole of uranium atoms, despite the obvious differences in their weight.
Hence, there must exist a 'mole ratio' by which the number of particles of any substance can be compared to the number of particles for another substance, regardless of particle mass.
This mole ratio is given by the mass/molar mass (mass in g, molar mass in g/mol, as the more massive a particle is, the less number of particles present in a given mass.
Sometimes people like to define the mole as "the number of carbon-12 atoms in 12g of that substance". This is because in this situation, mol=12/12 = 1.