How did madison hope to defeat great britain in the war of 1812?

In order to defeat Great Britain in the war of 1812, Madison hoped to gain control of Canada to show Great Britain that the U.S. was a powerful country worthy of respect. President Madison demanded an end to impressment, well aware that Britain would not make such a concession in wartime.  And so Britain went to war, with no troops to spare to reinforce Canada; it would be defended by a handful of British regulars, Native Americans and Canadian militia.

The common sense pamphlet i think