Most American Indians ate grasshoppers (plus crickets and katydids: the orthoptera) as an integral part of their diet, collecting vast quantities in the summer, drying them and grinding them into flour to store for the winter.
They had many methods of gathering and trapping grasshoppers. The most simple gathering method was to merely pick them off vegetation during the early morning, when it was too cool for them to fly or jump off quickly.
At the most complex end of the spectrum, entire villages assembled to prepare pits and perform circle or or group drive hunts, surrounding a field and scaring grasshoppers inward simultaneously to drive the grasshoppers into the central pits. There were many variations on this method, from some Indians using fire to either drive the grasshoppers or kill them at the end, to driving them in a line towards a creek, where they were collected downstream in basket traps.
See Cricket Hunting Method of Nevada Indians for another example of a drive hunt.
One basic type of the circle hunt method was performed by the Shoshone Indians of the Western US (including California, Nevada, Idaho, and Wyoming): A hole was dug in the center of a field, 10-12 ft deep by 4-5 ft diameter. The 4-5 acre field was surrounded with people standing about twenty feet apart, armed with long branches of Artemisia (i.e. wormwood; a pungent, insect-repelling herb/shrub), with which they beat the ground and vegetation while slowly pushing them towards the hole in the center (Chittenden and Richardson 1905). Often 3-4 acres was sufficient to fill the hole. (Chittenden and Richardson 1905).
Chittenden, H.M. and A.D. Richardson. 1905. Life, letters and travels of Father Pierre-Jean DeSmet, S.J., 1801-1873. Harper, New York, NY.