The development of the Preliminary Version of the New Jersey Mathematics Curriculum Framework was a broad-based effort. As evidence, I submit the following section (pages v-xi) which appeared in the Preliminary Version acknowledging all those who had roles in the development of that version of the Framework. They should be pleased to see that all their efforts have now come to fruition. Many thanks to all of those who played a role in developing the Framework!

By contrast, this version was the result of an intense effort by a small number of people. Warren D. Crown, Professor of Mathematics Education at Rutgers, Janet H. Caldwell, Professor of Mathematics at Rowan College of New Jersey, and Joseph G. Rosenstein, Professor of Mathematics at Rutgers University wrote this entire document, based on the materials in the Preliminary Version and responding to the comments and suggestions offered by all those who used and reviewed that document.

Assisting in the writing process was Karin Rupp who collected and organized all of the comments and suggestions, and developed additional information that grew out of those comments and suggestions. Also assisting in the writing process were those who carefully read various chapters of the Preliminary Version, and recommended many changes. This includes Robert Davis, Frank Gardella, Evan Maletsky, and Maureen Quirk. Especially important was the contribution of those who reviewed the chapter dealing with Discrete Mathematics, a topic which has never before been subjected to a K-12 grade-level analysis; this includes Valerie DeBellis, Emily Dann, Bobbie Goldman, Janice Kowalczyk, Evan Maletsky, Claire Passantino, and Michael Saks, as well as the many teachers in the Leadership Program in Discrete Mathematics who shared their classroom experiences with these topics.

Before this version of the New Jersey Mathematics Curriculum Framework could be written, the Mathematics Standards had to be adopted by the New Jersey State Board of Education. So acknowledgements are appropriate here to those who served on the Governor's Review Panel for the Mathematics Curriculum Standards - Janet Amenhauser, Joyce Baynes, Janet Caldwell, Warren Crown, Barbara Graham, Patricia Klag, Paul Lawrence, Evan Maletsky, Paula Norwood (Panel co-Chair), Jean Paige, Robert Riehs (Department of Education), Joseph G. Rosenstein, William Smith (Panel co-Chair), Dorothy Varygiannes (Department of Education), and Allen Wesley.

The editing of the New Jersey Mathematics Curriculum Framework was the work of Joseph G. Rosenstein, with the dedicated assistance of Karin Rupp. Both have read each word of this document ... over and over. Meeting the deadline imposed by the Eisenhower grant period - this document had to be printed by December 31, 1996 - involved, simply put, many long days and nights.

The document was prepared by the staff at the Center for Mathematics, Science, and Technology Education at Rutgers University, including the staff of the New Jersey Mathematics Coalition. Most of the document was put into its final form by Stephanie Micale and Debby Toti who have cheerfully put up with the Framework, and its Editor, full-time for the last three months. Chris Magarelli did all the computer graphics, and others provided important assistance when it was needed - Janet DeBellis, Valerie DeBellis, Lisa Estler, Bonnie Katz, Stephanie Lichtman, and Peter Sobel. Therewere times when six people were working on the document simultaneously! Thank you for all your help.

Thanks also to Dolores Keezer of the Department of Education, who has served as co-Chair of this project and has helped ensure the dissemination of this document, and to Robert Riehs of the Department of Education who has helped ensure that the contents of this document reflected the initiatives of the Department. Thanks also to Stephen Bouikidis for providing expert advice on the format of this document and to him and Keith Kershner for ensuring that its cover would do justice to its contents. In addition to their assistance, the Mid-Atlantic Eisenhower Consortium for Mathematics and Science Education at Research for Better Schools also provided a graphic artist for the cover and contributed to the distribution of the Framework. Thanks also to Rutgers University and the Center for Mathematics, Science, and Computer Education for serving as a home for this project, and to its Director, Gerald A. Goldin, for his consistent support.

Finally, thanks to my family for their patience during the last few months while I was intensely wrapped up in the writing and editing of the New Jersey Mathematics Curriculum Framework.

Joseph G. Rosenstein
Editor, New Jersey Mathematics Curriculum Framework
Co-Director, New Jersey Mathematics Curriculum Framework Project
December 9, 1996

The development of the Preliminary Version of the New Jersey Mathematics Curriculum Framework was made possible by a grant from the United States Department of Education to the New Jersey Department of Education and the New Jersey Mathematics Coalition. Joseph G. Rosenstein has served as co-Director of the New Jersey Mathematics Curriculum Framework Project for the New Jersey Mathematics Coalition; serving as co-Directors for the New Jersey Department of Education have been Charles Mitchel, Karen Sanderson, and Dolores Keezer.

In addition to a collaboration between the New Jersey Mathematics Coalition and the New Jersey Department of Education, this document represents a collaboration involving many of the most knowledgeable mathematics educators in New Jersey and many other members of the community. Some served on the New Jersey Curriculum Standards Panel that developed the draft version of the New Jersey Mathematics Standards. Others were active members of the Curriculum Framework Project Advisory Committee of the New Jersey Mathematics Coalition. Still others served as members of Task Forces which developed recommendations and drafted materials for the framework. Lists of members of these groups are provided on the following pages; please bring corrections or omissions to our attention so that modifications can be made in subsequent versions.

We also acknowledge the 294 individuals who submitted comments on the draft version of the New Jersey Mathematics Standards and the 29 District Leadership Teams (DLTs) who reviewed an earlier version of the framework as part of their participation in the pilot implementation program of the New Jersey Mathematics Curriculum Framework Project. Serving as Project Coordinator of the pilot implementation program have been Irwin Ozer and Karin Rupp.

Special mention must be made of the following individuals who have served the Leadership Team in various capacities, attending long and arduous planning meetings, chairing Task Forces, and writing, reviewing, and editing endless drafts of sections of this document.

Janet Caldwell, Professor of Mathematics, Rowan College of New Jersey
Warren Crown, Associate Professor of Mathematics Education, Rutgers University
Karl-Heinz Haas, Mathematics and Science Supervisor, Saddle Brook Public Schools
Dolores Keezer, Director, Academy - Central, New Jersey Department of Education
Phyllis Klosowski, Project Coordinator, New Jersey Mathematics Coalition; Rutgers
Paul Lawrence, Mathematics Supervisor, Livingston Public Schools
Rebecca Lubetkin, Director, Consortium for Educational Equity, Rutgers University
David Marain, Mathematics Staff Developer, Tenafly Public Schools
Elizabeth Marquez, Teacher, North Brunswick Township Schools
Bruce Normandia, Superintendent, Brick Township Public Schools
Anthony Piccolino, Associate Professor of Mathematics, Montclair State University
Joseph G. Rosenstein, Professor of Mathematics, Rutgers; Director, NJ Mathematics Coalition
Maureen Quirk, Center for Communications Research
Karen Sanderson, Assistant Principal, Hamilton (Atlantic County) Public Schools
Roberta Schorr, Mathematics Specialist, New Jersey Statewide Systemic Initiative (NJ SSI)
Sharon Sherman, Senior Project Leader, Science Educ. Program, Princeton Plasma Physics Labs
William Smith, Mathematics Supervisor, Haddonfield Public Schools
Dorothy Varygiannes, New Jersey Department of Education
Linnea Weiland, New Jersey Department of Education
Larry Wiley, Mathematics Consultant, (formerly) New Jersey Department of Education

Special thanks to Phyllis Klosowski who has served as Project Coordinator of this project since its inception, and has been a source of information and assistance to the Leadership Team and to Mary Ann Reilly, who developed the initial draft of the framework upon which this Preliminary Version is based. Thanks also to the Mid-Atlantic Eisenhower Consortium for Mathematics and Science Education located at Research for Better Schools for providing refreshments for those reviewing framework drafts.

That this document now exists is a tribute to a team of five people each of whom has spent hundreds of hours converting an idea into a reality:

Karen Sanderson,

currently Assistant Principal, Hamilton (Atlantic County) Public Schools, who served for nearly two years as Project co-Director for the New Jersey Department of Education;

William Smith,

Mathematics Supervisor, Haddonfield Public Schools, who served as Facilitator of the New Jersey Mathematics Standards Panel;

Janet Caldwell,

Professor of Mathematics, Rowan College of New Jersey, and

Warren Crown,

Associate Professor of Mathematics Education, Rutgers University, and Associate Director, New Jersey Mathematics Coalition

who were principal authors of the Preliminary Version of the New Jersey Mathematics Curriculum Framework with Joseph G. Rosenstein, writing, rewriting, and weaving together the contributions of many others; and

Joseph G. Rosenstein,

Professor of Mathematics, Rutgers University, and Director, New Jersey Mathematics Coalition

who served as Project co-Director, and headed the team and managed the effort to create this document.

Congratulations and thanks to all who have participated in developing the Preliminary Version of the New Jersey Mathematics Curriculum Framework.

New Jersey Mathematics Standards Panel

(affiliations as of completion of the work of the Panel in June 1993)

Curriculum Framework Project Advisory Committee

Task Force Members

District Leadership Teams (DLTs) and DLT Coordinators

New Jersey Mathematics Curriculum Framework Project

Regional Leadership Team I

Atlantic City DLT	Ray Allen
Mainland Regional DLT (including Linwood, Northfield, Somers Point)	Daniel Kortvelesy
Ocean City DLT (including Sea Isle, Upper Township)	Sherry Bosch
Stone Harbor DLT (including Middle Township, Dennis Township, Avalon)	Lynn Mathis, Ronald Bonner, Tom Cushane

Regional Leadership Team II

Haddonfield DLT	William Smith
Bridgeton DLT	Rita Sherman
Pitman DLT	Barbara Michalsky
Salem City DLT (including Quinton)	Esther Lee
Pittsgrove Township DLT (including Elmer)	Carol Taylor Winkie, Jacqueline Murphy

Regional Leadership Team III

Florence Township DLT	Dana Paykos
Northern Burlington County Regional DLT (including Chesterfield, Mansfield, North Hanover, Springfield)	Ellen Mulligan
Trenton DLT	Mary Mitchell
Metuchen DLT	Joseph Bulman
South Brunswick DLT	Kaye L. Crown

Regional Leadership Team IV

Pinelands Regional DLT (including Eagleswood Township, Little Egg Harbor Township, Tuckerton Elementary, Bass River)	Harry Bublin
Southern Regional DLT (including Stafford Township, Long Beach Island Township)	Deborah Mayeux
Eatontown DLT (including Monmouth Regional)	Diane Bloom
Ocean Township DLT	Leona Worth
Rumson-Fairhaven Regional DLT (inlcuding Rumson, Fairhaven)	Louis W. Mitchell

Regional Leadership Team V

Midland Park High School DLT (including Ho-Ho-Kus)	Patricia A. Dunn, Victoria Kniewel
East Orange DLT	Howard Walker, James Leutz
Dover DLT (including Mine Hill)	Gary Meyer
Jefferson Township DLT	Mary Ann Tierney
Sparta Township DLT	Pat Spagnoletti, Karl Mundi

Regional Leadership Team VI

Union City DLT	Silvia Abbato
Washington Township DLT (including West Morris)	Dolly Cinquino
Franklin Township DLT	Jane Taglietta
Bernardsville DLT	Louis Rodriguez
Linden DLT	Walter Tylicki