A
one-year course
that covers the topics of Calculus I. Taught as a
two-course sequence with the same credit as a separate Precalculus and
Calculus I course.
Not
specifically tied to a
particular approach to calculus. May use a traditional approach to
calculus or a reform approach. A course that integrates, on a
just-in-time basis, all precalculus
topics needed to
understand and to solve calculus problems. Not specifically tied to a
particular technology. May use graphing
calculators or computer programs, or little or no technology. A course intended for students
required to take calculus but who are
inadequately prepared. Traditionally, these students would take a
Precalculus course in college. Not specifically tied to any
teaching style. Styles may range from small sections using group work to lecture-recitation.
A course that uses two texts: any
calculus book and the supplement A
Companion to
Calculus. Both traditional and reform calculus texts have been
used
successfully. Not simply calculus taught slowly.
Time is taken to treat essential
precalculus topics in detail, in a calculus context. A course that assigns reading,
problems, and tests on both precalculus and calculus content. Not calculus with precalculus
review as an optional add-on, rather than an integral part of the
course. A course that uses the same
calculus text and technology as the
‘regular’ Calculus I course. This allows migration between the
courses
early in the term. Not precalculus ‘up front’
followed
by beginning calculus. Precalculus
topics are integrated throughout the course. A course that prepares students to
continue in the regular sequence
with Calculus II. Covers all material in the same depth as
Calculus I. Not a terminal course in which
students cannot continue in the ‘regular’ calculus sequence
with Calculus II.