A small but growing number of Americans are choosing to homeschool their children. Most U.S. schools plan to stay closed, or open only part-time, this year and offer distance learning programs to students. Some parents worry their neighborhood school will not offer a strong online learning program. Others are concerned about the health of their families if schools do reopen, partly or fully. Still others are choosing homeschooling because local schools keep changing their plans for the new term. Homeschooling applications are on the rise in several states, including Nebraska, which has had a 21 percent increase. In Vermont, applications are up 75 percent. There were about 2.5 million homeschool students last year in levels 1 through 12 plus kindergarten. That represents 3 to 4 percent of all school-age children nationwide, reports the National Home Educators Research Institute. Brian Ray, its president, is expecting the number of homeschool students will increase by at least 10 percent.