From a Fundamentalist Church standpoint, what is its equivalent of a catechumen? In many denominations (Roman Catholic, Eastern Orthodox, Lutheran, Anglican, Episcopalian), there is a concept called a catechumen, who takes religious education course called a catechumenate, that is taught by a catechist. So, what is the equivalent of such a role in a Fundamentalist/Bible Church? How do Fundamentalist Christians deal with prospective Christians (i.e. teaching church history, official doctrine and practices, etc.)? For Fundamentalist Christians, does that include teaching prospective Christians about the Scopes trial?
"From a Fundamentalist Church standpoint, what is its equivalent of a catechumen?" In my experience in several Protestant churches, Sunday School is the place of catechumen for young ones. The parents drop off their children in age-appropriate classrooms and the children are taught Bible stories/lessons by teachers from a church-approved lesson plan.
The plan may include any mixture of Bible stories, memorization of verses, Q&A, singing, puppets, dress-up, skits and other lively interactions, all to help bring the Bible stories to life and help the children see the lesson is for them.
This takes place as the parents are edified by the pastor in the main sanctuary.
I can answer as to a nondenominational evangelical church, which may be what you are asking for.
Whereas many protestant and Catholic churches baptize infants and catechumize youth, nondenominational churches typically dedicate babies and then may hold a short, intensive class for baptism candidates as they reach an age of responsibility. The class may give an overview of the basics of doctrine. I know one church where the material is based on the pastor's modification of Rick Warren's 101 Material.
Even among pastors who may hold a Young Earth Creationist view, I haven't seen mentions of the Scope trial. Even among those who hold six-24h-days as a necessary teaching, the focus would be on believing God's word, not an opinion on a 19th century trial.