Please reason step by step, and put your final answer within \boxed{}.
Given propositions $p$: The equation $x^{2}+y^{2}-2mx+2m^{2}-2m=0$ represents a circle; proposition $q$: The eccentricity $e$ of the hyperbola $\dfrac{y^{2}}{5}-\dfrac{x^{2}}{m}=1$ is in the interval $(1,2)$. If the proposition “$p \wedge q$” is false, and “$p \vee q$” is true, find the range of the real number $m$.
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