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\section{To the Instructor}

Traditional problems often lose their impact in a technological environment.
A new type of exercise is necessary that emphasizes conceptual thinking and
general problem-solving strategies rather than computational algorithms, and
that emphasizes general techniques for testing validity of answers. These
activities\QTR{BookName}{\ are} designed as a computer-laboratory supplement
for calculus, providing problems that encourage experimentation, solution,
verification, and communication. Many of the problems are stated in a format
that requires a four-step process, and examples are given that illustrate
this process.

\subsubsection{How to Use the Activities}

Each activity includes an introductory problem with a complete solution.
These introductory activities probe understanding of basic concepts and
illustrate the use of \textsl{Scientific Notebook} to solve these problems.
Solutions are written as a model for student solutions, providing examples
of the form they should use. Hints for using \textsl{Scientific Notebook}
are interspersed throughout the solution, describing the mechanics of how to
use \textsl{Scientific Notebook} to solve the introductory activity.

Following the introductory activities are one or more activities consisting
of open-ended problems that encourage students to experiment, to generate
plausible solutions, to verify that their plausible solutions are consistent
with their experiments and known partial results, and to describe and
justify their solutions coherently. In support of the emphasis on general
techniques for self-testing for validity of answers, formal solutions are
not included for these activities, although hints and clues are provided for
many of them.

You can select activities that enhance your syllabus for student
assignments, as many or as few as you wish and in whatever order you choose.
We suggest, however, that you include all of the activities in Chapter 0
near the beginning of your course to get the students started with \textsl{%
Scientific Notebook} and to familiarize them with our notational conventions
for \textsl{Scientific Notebook} hints. It is assumed that students will
have a textbook that they can refer to for basic definitions and examples. A
few definitions are provided for topics that may not be included in some
textbooks. Additional reference material is available in \textsl{Scientific
Notebook} through the \textsf{Reference Index} on the \textsf{Help} menu.

The activities in Chapter 0 introduce basic procedures for using the system
with examples from precalculus. In later chapters, we introduce additional
procedures for using the system as they are needed, and provide examples and
exercises to encourage users to practice the ideas presented and to explore
possibilities beyond those covered in this manual.

\hfill \textsl{\hyperref{\textsl{Darel W. Hardy}}{}{}{DC_authors.tex}}

\textsl{\hfill \bigskip \hyperref{\textsl{Carol L. Walker}}{}{}{%
DC_authors.tex}}

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