Program Book - National Council of Teachers of Mathematics

NCTM 2009 Annual Meeting & Exposition

Washington, D.C. ? April 22?25, 2009

Equity:

All Means ALL

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COUPONS

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Program Book

A new series timed for today's changing needs! ? Delivers rich, rigorous content to ALL students ? Incorporates the College Board Standards for College Success ? Integrates the American Diploma Project Mathematics Benchmarks ? Applies state-of-the-art technology, including lessons using TI-nspireTM handheld

1-800-334-7344 ? catalog

National Council of Teachers of Mathematics

2009 ANNUAL MEETING and EXPOSITION

Washington, D.C. | April 22?25, 2009 | Equity: All Means ALL

Hosts

District of Columbia Council of Teachers of Mathematics (DCCTM) Maryland Council of Teachers of Mathematics (MCTM) Virginia Council of Teachers of Mathematics (VCTM)

Meeting Facilities

All Annual Meeting presentations will be held at: Walter E. Washington Convention Center Grand Hyatt Washington Renaissance Washington, D.C., Hotel See pages 206?09 for floor plans.

Contents

Advertisers Guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 238 Affiliates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 203 Bookstore . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 Certificate of Attendance . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211?12 Cyber Caf? . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 Delegate Assembly. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Exhibits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201

Directory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 214?24 Workshops . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 First Aid. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 Floor Plans . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206?09, 226?27 Focus of the Year . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 General Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197?201 Hotel Information and Map . . . . . . . . . . . . . . . . . . . . . . . . . . 204?05 Information Booth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 Member Showcase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 Membership Application . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 NCTM Officers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 210 Online Attendee Survey (Your Opinion Counts!). . . . . . . . . . . . . 198 On-Site Daily News . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Other Group Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 Program and Local Arrangements Committees . . . . . . . . . . . . . . 210 Program Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Wednesday Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Thursday Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Friday Presentations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 Saturday Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 Program Overview and First Timers' Orientation . . . . . . . . . . . . 6 Strands . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 Types of Presentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Regional Caucuses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Registration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 Research Presession . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 Shuttle Bus Service . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 198 Speaker Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 228?32 Sponsors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 202 Topic Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 233?34

Cherry Blossom Thoms; ? Jake McGuire

The publications and programs of the National Council of Teachers of Mathematics present a variety of viewpoints. The views expressed or implied in this publication, unless otherwise noted, should not be interpreted as official positions of the Council. References to particular commercial products by a speaker should not be construed as an NCTM endorsement of said product(s). NCTM reserves the right to change speakers, change facilities, or modify program content.

NCTM does not sell or distribute member e-mail addresses in compliance with Federal privacy policies. However, some speakers on this program have elected to print their e-mail addresses as a means for individual correspondence with conference attendees. Unsolicited commercial e-mail or unsolicited bulk e-mail, whether or not that e-mail is commercial in nature, is expressly prohibited. Any use of e-mail addresses beyond personal correspondence is not authorized by NCTM.

National Council of Teachers of Mathematics, 1906 Association Drive, Reston, VA 20191-1502; Telephone (703) 620-9840; Fax (703) 476-2970; E-mail nctm@; Web

Printed in U.S.A

1

Welcome to Washington, D.C.!

Welcome to the largest, most exciting annual gathering of mathematics educators in the world. The 87th Annual Meeting and Exposition of the National Council of Teachers of Mathematics brings together outstanding classroom teachers, mathematics educators, and mathematicians to share what they know and to exchange ideas in support of helping every student learn challenging mathematics. On behalf of the Board of Directors, Program and Local Arrangements committees, staff, and the many volunteers who have worked long hours to put together a spectacular set of opportunities for you, welcome to Washington, D.C.

Equity, the theme of the conference, provides just a glimpse of what the conference will offer. Our Program Committee has put together an exceptional group of presentations for you to explore and consider the complexities of teaching mathematics so that all students will learn. You will find presentations that challenge you to examine your own teaching, your connections

to your students and their community, and your perspectives on mathematics.

There is much more to the conference than the more than 825 presentations planned for your professional enrichment. Over the next three days, take advantage of the extraordinary opportunities you'll have to meet new colleagues and to form stimulating professional and personal relationships that can last a lifetime. To really experience Washington, make sure you visit the Mall, the Smithsonian, Capitol Hill, and the nearby Spy Museum and downtown area. Enjoy the local culture and cuisine, and get out and see the beautiful springtime blossoms. You may be surprised at how mathematical Washington is, in addition to being a vibrant hub for history, art, dining, and shopping.

Our hope is that after your Washington, D.C. experiences you will return to your classroom and colleagues brimming with new ideas and questions that will expand your thinking about the mathematics you teach and the students whose lives you influence every day.

Henry S. Kepner Jr.

President, National Council of Teachers of Mathematics University of Wisconsin-- Milwaukee

Deborah Donovan

Program Chair Educational Resources Group Lexington, South Carolina

Michael Bolling

Local Arrangements Committee Cochair Virginia Council of Teachers of Mathematics

Edward C. Nolan

Local Arrangements Committee Cochair Maryland Council of Teachers of Mathematics

E. Marilyn Williams

Local Arrangements Committee Cochair District of Columbia Council of Teachers of Mathematics

On behalf of the NCTM Headquarters staff, it is my great pleasure to welcome you to the Council's 2009 Annual Meeting and Exposition. We assemble in the capitol city of the United States to learn, to network, and to advocate. In this dynamic and ever-changing setting, we can gain new insights on helping all children achieve success in mathematics. We can discover new ideas and approaches from session and workshop leaders. We can examine the latest educational materials, and network with teachers from across North America and the rest of the world. At a time when science, technology, engineering, and mathematics (STEM) education is on the minds of this nation's policymakers and legislators, it is appropriate to gather together in Washington, D.C. All around us we can see and hear

the challenges of a busy urban setting, the discussion of global competitiveness and its environment, and the desire to meet the needs of the world's peoples. This venue is, indeed, symbolic of the challenges we collectively and individually face in making a brighter future for all children. Again, welcome, grow, and enjoy NCTM's Annual Meeting and Exposition.

James M. Rubillo

Executive Director National Council of Teachers of Mathematics

2 NCTM 2009 Annual Meeting and Exposition

Available Fall 2009

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