A computer-based course in Advanced Placement Calculus AB, developed a
t the Institute for Mathematical Studies in the Social Sciences at Sta
nford University, was completed by 13 gifted students in grades 7-10 f
rom seven different junior and senior high schools. This article cover
s the selection procedures for students, the day-to-day progress of th
e calculus students during the 1990-91 school year, details of the der
ivation system developed, operational aspects of the hardware and soft
ware systems that were used, and analysis of individual differences th
at appear in the self-placed environment. The 13 students took the Adv
anced Placement Calculus AB examination in May 1991. All students pass
ed. Six scored 5 (the highest grade); Six scored 4, and one scored 3,
for an average score of 4.4.