An Interactive Online Calculus Text Background Project CALC

An Interactive Online Calculus Text

Background: Project CALC • Calculus As a Laboratory Course • Funded by NSF, 1988 -1995 • First edition textbook/lab materials published by Houghton Mifflin (D. C. Heath), 1996 • Online lab modules developed as the Connected Curriculum Project, 1993 -2001 • 1990 s materials still in use at some colleges 9/13/2021 An Interactive Online Calculus Text 2

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 9/13/2021 An Interactive Online Calculus Text 3

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. 9/13/2021 An Interactive Online Calculus Text 4

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. 9/13/2021 An Interactive Online Calculus Text 5

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. 0231083 to MAA for the Online Books Project • First step: Redesign and redevelop the textbook entirely online 9/13/2021 An Interactive Online Calculus Text 6

Math. DL 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 9/13/2021 An Interactive Online Calculus Text 7

Issues • • Navigation Directory and file structure Design Illustrations Interactivity Technical requirements Presentation of mathematics 9/13/2021 An Interactive Online Calculus Text 8

Presentation of Mathematics • XHTML files for main body of text • HTML files for front page, tables of contents, pop-ups • Math. ML formulas, created by Web. EQ, in main pages (mostly displayed formulas) • ascii. Math. ML formulas in pop-ups and in main pages (mostly inline formulas) • Flash applets and Maple, Mathcad, and Mathematica CAS files for interactions 9/13/2021 An Interactive Online Calculus Text 9

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) 9/13/2021 An Interactive Online Calculus Text 10

Sample Pages • Checkpoints (6. 1. 2) • Exercises (5. 1) • We. BWor. K Exercises (4. 5) • Making connections (6. 3. 4) • Chapter Summary (Ch. 3) • Projects (Ch. 4) • Projects (Ch. 7) 9/13/2021 An Interactive Online Calculus Text 11

Classroom Test Sites Wanted Class tested at Hood College, 2006 -2008 Consider being a class tester starting in Fall 2008 Contact us: das@ or lang@math. duke. edu During the workshop, you can also use direct messaging to moderators. 9/13/2021 An Interactive Online Calculus Text 12

Project CALC Awards Also named A Program That Works by Project Kaleidoscope, 1993 9/13/2021 An Interactive Online Calculus Text 13

An Interactive Online Calculus Text