How were the goals and actions of wilsons new freedom similar to roosevelts new nationalism?

  New Nationalism: 1) Woman Suffrage 2) Broad social welfare 3) More aggressive Progressivism 4) Increased regulation of big business 

New Freedom: 1) Favoring of small enterprise 2) Increased individual competition 3) Vigorous enforcement of anti-trust laws 4) A "free market" for the economy 

Both obviously catered to the Progressive movement. Both were anti-big business. And both favored the rise of the "little man". 

The two policies differed in what means would be used to achieve these ends. Roosevelt's New Freedom proposed broad social welfare, much like that seen in the 1930's from Franklin Delano Roosevelt. Wilson violently opposed welfare. Both favored a sort of free market for the economy: Wilson favored the pure market, Roosevelt allowed those who had losses to be given another chance.

Cherokee  removal, part of the trail of tears, refers to the  forced  relocation between 1836 and 1839 of thecherokee  nation from  their lands ingeorgia, south carolina, north carolina, tennessee, texas, and alabama to the indian territory (present day oklahoma)  in  the thenwestern united states, and the resultant deaths