Helping students reach a clear understanding of the cause-and-effect relationship between changes in parameter and the graph of an equation is the focus of the activity outlined in this article. The behavior of phase shifts has been regarded as counterintuitive for many people, and often, because of this, conflict between student intuition and…

"Transcendentalism" refers to philosophical, religious, and literary beliefs held by Ralph Waldo Emerson, Henry David Thoreau, Margaret Fuller, Amos Bronson Alcott, and other writers in New England during the 1830s and 1840s. Emerson believed in the significance of one's intuition and individuality. He expresses these beliefs in his…