1. An Interactive Online Calculus Text

2. Background: Project CALC
Calculus As a Laboratory Course
Funded by NSF,
First edition textbook/lab materials published by Houghton Mifflin (D. C. Heath), 1996
Online lab modules developed as the Connected Curriculum Project,
1990s materials still in use at some colleges
12/9/2018
An Interactive Online Calculus Text

3. Project CALC: Features
laboratory experiments
discovery learning
real-world applications
writing and revision of writing
high expectations of students
emphasis on students checking their own work
12/9/2018
An Interactive Online Calculus Text

4. Project CALC: End Goals
Students who complete the Project CALC sequence should be able to
use mathematics to structure their understanding of and investigate questions in the world around them,
use calculus to formulate problems, to solve problems, and to communicate their solutions of problems to others,
use technology as an integral part of this process of formulation, solution, and communication,
work and learn cooperatively.
12/9/2018
An Interactive Online Calculus Text

5. Project CALC: In-Course Goals
Students in the Project CALC sequence should be able to
understand concepts rather than merely mimic techniques;
demonstrate understanding by explaining in written or oral form the meanings and important applications of concepts;
construct and analyze mathematical models of real-world phenomena, including both discrete and continuous models;
distinguish between discrete and continuous models and make judgments about the appropriateness of the choice for a given problem;
understand the relationship between a process and the corresponding inverse process;
select between formal and approximate methods for solution of a problem and make judgments about the appropriateness of the choice;
select the proper tool or tools for the task at hand.
12/9/2018
An Interactive Online Calculus Text

6. An Interactive Online Calculus Text
The Second Edition
Our desires:
Make the text flexible, hyperlinked, interactive, richly illustrated, and available at low cost
Demonstrate feasibility of an online text
Support: NSF Grant No to MAA for the Online Books Project
First step: Redesign and redevelop the textbook entirely online
12/9/2018
An Interactive Online Calculus Text

7. MathDL Online Books Project
Calculus: Modeling and Application by David Smith and Lang Moore
Mathematical Modeling by Frank Wattenberg and USMA colleagues
A Radical Approach to Real Analysis  (two sample chapters) by David Bressoud
12/9/2018
An Interactive Online Calculus Text

8. An Interactive Online Calculus Text
Issues
Navigation
Directory and file structure
Design
Illustrations
Interactivity
Technical requirements
Presentation of mathematics
12/9/2018
An Interactive Online Calculus Text

9. Presentation of Mathematics
XHTML files for main body of text
HTML files for front page, tables of contents, pop-ups
MathML formulas, created by WebEQ, in main pages (mostly displayed formulas)
asciiMathML formulas in pop-ups and in main pages (mostly inline formulas)
Flash applets and Maple, Mathcad, and Mathematica CAS files for interactions
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An Interactive Online Calculus Text

10. An Interactive Online Calculus Text
Sample Pages
Front Page
Chapter openers - “About this Chapter” (2.0)
Chapter Tables of Contents (Ch. 4)
Text pages (4.4.1)
Activity including Flash applet (2.4.3)
Activity including CAS files (6.2.1)
12/9/2018
An Interactive Online Calculus Text

11. An Interactive Online Calculus Text
Sample Pages
Checkpoints (6.1.2)
Exercises (5.1)
WeBWorK Exercises (4.5)
Making connections (6.3.4)
Chapter Summary (Ch. 3)
Projects (Ch. 4)
Projects (Ch. 7)
12/9/2018
An Interactive Online Calculus Text

12. Classroom Test Sites Wanted
Class tested at Hood College,
Consider being a class tester starting in Fall 2008
Contact us: or
During the workshop, you can also use direct messaging to moderators.
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An Interactive Online Calculus Text

13. An Interactive Online Calculus Text
Project CALC Awards
Also named A Program That Works by Project Kaleidoscope, 1993
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An Interactive Online Calculus Text

14. An Interactive Online Calculus Text
12/9/2018
An Interactive Online Calculus Text