The term 'Democrats' during the rise of popular politics from 1810 to 1828 primarily refers to the supporters of Andrew Jackson, who emphasized greater participation in government by the common man and positioned themselves as advocates for the rights of the average citizen against the elite. This period marked a significant shift in American political culture, transitioning from an aristocratic model to one encouraging broader public engagement and electoral participation, culminating in the pivotal election of 1828 which highlighted these democratic ideals.