An Interactive Online Calculus Text

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Presentation transcript:

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 Materials still in use at some colleges 11/26/2018 An Interactive Online Calculus Text

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 11/26/2018 An Interactive Online Calculus Text

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. 11/26/2018 An Interactive Online Calculus Text

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. 11/26/2018 An Interactive Online Calculus Text

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. 0231083 to MAA for the Online Books Project First step: Redesign and redevelop the textbook entirely online 11/26/2018 An Interactive Online Calculus Text

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 11/26/2018 An Interactive Online Calculus Text

An Interactive Online Calculus Text Issues Navigation Directory and file structure Design Illustrations Interactivity Technical requirements Presentation of mathematics 11/26/2018 An Interactive Online Calculus Text

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) Maple and Mathcad files for interactions 11/26/2018 An Interactive Online Calculus Text

An Interactive Online Calculus Text Sample Pages Front Page Chapter openers (2.0) Chapter Tables of Contents (Ch. 4) Text pages (4.4.1) Activities, including CAS files (6.2.1) Checkpoints (6.1.2) Exercises (5.1) Making connections (6.3.4) Projects (Ch. 4) 11/26/2018 An Interactive Online Calculus Text

Classroom Test Sites Wanted Class tested at Hood College, 2006-2007 Consider being a class tester starting in Fall 2007 Contact us: das@ or lang@math.duke.edu During workshop, use direct messaging to moderators. 11/26/2018 An Interactive Online Calculus Text

An Interactive Online Calculus Text Project CALC Awards Also named A Program That Works by Project Kaleidoscope, 1993 11/26/2018 An Interactive Online Calculus Text

An Interactive Online Calculus Text 11/26/2018 An Interactive Online Calculus Text