Dynamic Manipulation of Mathematical Objects

This is an electronic version of a white paper presented to the NCTM Standards 2000 Electronic Format Group in June 1998. In order to access the interactive diagrams embedded in this document, you'll need a Java-capable Web browser. In our experience, at the time of writing, Microsoft Internet Explorer or Netscape Navigator Version 4 (for PC or Macintosh) works well; Version 3 works less well; and prior versions do not work at all. Your mileage may vary. A print edition of this paper may be available at a later date from the conference publication of the NCTM EFG.

This material is based in part upon work supported by the National Science Foundation under awards numbered III-9400091 and DMI-9623018. Any opinions, findings, and conclusions or recommendations expressed in this paper are those of the authors and do not necessarily reflect the views of the National Science Foundation.

Table of Contents

• What Is Dynamic Manipulation?
• Dynamic Manipulation and Mathematical Learning
• Building Something that Works
• Problem Posing and Generalization