|Volume V Number 3||October 1996|
Inside This Issue
At Rutgers University,
Call Debby Toti at (908) 445-2894 for details.
In order to help prepare teachers for the new assessment, and for standards-based teaching in general, the Coalition has been involved in a number of projects that are highlighted in this issue of the Newsletter. The most prominent of these is the publication of the long-awaited New Jersey Mathematics Curriculum Framework. Read the article right beside this column to see how the official version of the framework, expected to be out in January, will be distributed. If you read the article carefully, you will learn how to request your own personal copy of the document.
In addition to the framework distribution, another major effort of the Coalition that began this past summer was the Standards Dissemination Project. A group of twenty talented K-4 teachers spent the summer preparing themselves to do professional development in mathematics for their colleagues around the state. A discussion of that program, a list of participants, and the titles of the resulting workshops are included in the article on pages 4 and 5. If you are a teacher
in grades 5 through 8, don't miss the boxed announcement of Phase II of the Standards Dissemination Project, coming up this summer! You, too, could play a valuable role in improving mathematics education in the state.
Other important announcements in this issue include a recent grant to the Coalition to look at the effects of mathematics education reform in New Jersey, the initiation of work on a new Science Framework, the appointment of a new project director for the NJ SSI, and an evening-hours, annual meeting of the Coalition. Of course, as we do every fall, we are also taking the opportunity of this Newsletter to invite you to sponsor a Math, Science, and Technology Month event this April.
This effort is the culmination of a three-year effort by the Coalition, in collaboration with the New Jersey Department of Education, with funding provided through an Eisenhower grant from the United States Department of Education.
It is anticipated that two copies will be mailed to each public school in the state (one to the principal and one to the mathematics coordinator), and one copy will be made available for each private and parochial school. Please make sure that you inform the appropriate people in your school early in January that you would like to see the document when it arrives. It is also anticipated that the Department of Education will provide a limited number of copies of the framework to individual mathematics educators. If you would like to receive a copy, please indicate that on the Response Form.
The document will also be available (as is the Preliminary Version) from the Coalition's Web page. Get it at http://dimacs.rutgers.edu/nj_math_coalition ! Once we complete the document, we plan to continue the framework development process on the Web page.
The Coalition needs your help to reach out to parents, business, and public policy makers, and to help implement the standards.
Become an Affiliate of the New Jersey Mathematics Coalition today! For a $25 donation you will be enabling your Coalition to accomplish these valuable tasks. Along with the knowledge that you are helping to improve mathematics education in New Jersey you will receive an attractive white mug with the distinctive blue Coalition license plate logo. These mugs will not be reordered, and they are only available on a first come first served basis.
Please join us in these important efforts. Just check off the AFFILIATION box on the response form and send us a check today.
To comment on any topic related to the Newsletter, send e-mail, write or call:
We all know that parents can be excellent motivators with their children and their schools. This is why we developed and coordinate Math, Science, and Technology Month each April. We want to get parents involved with their children's education and make them aware of educational reform that will affect their future.
Math, Science and Technology Month (MSTM) is a series of events that is coordinated by an extraordinarily diverse group of educators, museums, organizations, and business and industry representatives.
In 1996, over 89,000 parents, children, and educators participated in over 450 hands-on standards-based events. We anticipate an even larger MSTM '97!
Now is the time to commit yourself to sponsor an event during April 1997. Your event can involve a single classroom of students and their parents, or it can encompass a whole district or town. Join your colleagues throughout the state in participating in this statewide celebration of mathematics, science, and technology. If you coordinate one event, MSTM will be successful!
MSTM Event Goals
A good MSTM event should...
The twenty teachers were selected for participation from over ninety applications submitted in the spring. The participants represent diversity geographically and in terms of grade-level and responsibility. They are:
|Leslee Atiram||Princeton Day School|
|Lynn Barberi||Indian Fields School||South Brunswick|
|Laura Behm||Mansion Avenue School||Audubon|
|Rosalind K. Blinder||Lincoln School||Newark|
|Ellen Bloomberg||Jewish Education Center|
|Irene Bognar||Florence M. Gaudineer M.S.||Springfield|
|Patricia R. Burton||Pine Grove Manor School||Franklin Township|
|Mary Costner||Washington Avenue School||Chatham|
|Freddi DiGeronimo||Elizabeth Avenue School||Franklin Township|
|Anna Marie Dunn||George J. Mitchell School||Little Egg Harbor|
|Paula Giblin||Forest Avenue School||Verona|
|Janet Gill||Greenbrook School||South Brunswick|
|Diane Glace||Rutgers Preparatory School|
|Katrina L. Lacovara||Haines School||Medford Township|
|Richard N. Lacovara Jr.||Allen School||Medford Township|
|Linda E. Nicholls||Central School||Great Meadows Regional|
|Jim Occhino||Dwight-Englewood School|
|Elsie Rebovich||M.L. King Elementary School||Edison|
|Kathleen Shankman||Lincoln School||Englewood|
|Vi Thompson||South Valley School||Moorestown|
|Candace Beattys||South Orange-Maplewood|
|Kaye Crown||South Brunswick|
|Warren Crown||Rutgers University|
|Bob Krech||West Windsor-Plainsboro|
Warren Crown served as Director of the Institute.
After the insitute was completed, fourteen workshops were offered over seven days in August at Academy South, Central and North. Over 100 teachers took part in these workshops and gained a better understanding of how to implement the New Jersey Mathematics Standards in their K-4 classrooms.
The New Jersey Mathematics Coalition is offering to provide a speaker who will come to your PTA or PTO, School Board or community meeting and talk about
"Mathematics to Prepare Our Children for the 21st Century"
If your Board of Education, PTA or other civic group is interested, please check off the PRESENTATION box on the response form.
Standards Dissemination Project
December Workshops Have Been Scheduled
December 2, 1996
December 3, 1996
December 5, 1996
How Do I Schedule One Of These K-4 Math Standards Workshops In My School?
STANDARDS IN-DISTRICT WORKSHOPS
The Fund for New Jersey provided important financial support to the New Jersey Mathematics Coalition in its initial three years, and, in providing us these funds, recognizes the important contribution that the Coalition is making. The award letter notes: "The New Jersey Mathematics Coalition was founded to promote best practices and statewide standards in the teaching and curriculum of math in New Jersey's schools. The Coalition is in large part responsible for the strong math content contained in the Governor's promulgated statewide standards."
A broad based task force, with representatives including teachers, administrators, parents, members of higher education, business and industry and the educators who contributed to creating the science standards, was assembled this summer. Their task is to develop a draft of the science framework by June 1997. This framework development project is supported by NJ SSI, The Mid Atlantic Eisenhower Consortium at Research for Better Schools, MISE and the Department of Education. The leadership team consists of Dr. Carlo Parravano (MISE), John Shafransky (Edison Township Schools) and Dr. Deborah Cook (NJ SSI). It is estimated that it will take a year to eighteen months to complete the framework. As of September 1996 materials for drafts of three of the seven content chapters were being prepared. These chapters will include five process standards and the cross content readiness standards interwoven with the content.
The Department is looking for feedback on the first sections of this large project. There will be feedback opportunities at the New Jersey Science Teachers Convention on October 8 and 9. Additional opportunities to provide feedback on parts of the draft framework will be available in December. For more information on these sessions, call Dr. Bruce Marganoff at the Department of Education (609) 984-1805. Mathematics educators are encouraged to participate. It is anticipated that a draft of the entire framework will be ready in June '97. After additional review, the final version will be disseminated during the '97 - '98 school year.
NJ SSI is a statewide collaborative project involving 9 institutions of higher education, 1069 K-8 teachers in 408 elementary schools and over 600 K-12 teachers from 236 schools in 32 districts. This multifaceted project focuses on systemic reform of mathematics and science education, including curriculum, assessment and new technology.
Dr. Cook joins the team at Rutgers University with statewide science and educational leadership experience. In addition to working with NJ SSI and managing a broad spectrum of curriculum activities including core course proficiencies, core curriculum content standards and the development of the science framework, she has also been involved in the development of NJ's statewide assessment in science at grades 4, 8, and 11. Dr. Cook also administered statewide staff development programs, served on technology committees and worked on the NJ School Report Card. Prior to her service with the Department of Education, she was a director of curriculum and instruction and she taught and supervised mathematics and science in New Jersey public schools. Dr. Cook received her B.S. from the Philadelphia College of Pharmacy and Science, and an Ed.M. and Ed.D. in Science Education from Temple University.
The national search for a project director coincided with NJ SSI's successful completion of its midpoint review with the National Science Foundation (NSF) this year. According to Dr. Goldin, "NJ SSI is at a pivotal point. We have harnessed a wealth of talent and knowledge statewide, and we are documenting successful professional development and school reform practices in the state. We now must refine these powerful working models for demonstration of how mathematics and science teaching, learning and student achievement can reach new levels of excellence so that all New Jersey's students can benefit from the SSI experience. Dr. Cook rounds out our outstanding team and will help us to implement the next phase of SSI." Goldin also thanked NJ SSI Co-Principal Investigator, Rebecca Lubetkin, who heads the Consortium for Educational Equity, who also served as Deputy Director of NJ SSI for one year prior to Dr. Cook joining the project.
The National Science Foundation recently commended NJ SSI for the state's adoption of challenging core curriculum content standards, specifically the mathematics and science standards which NJ SSI partners helped to develop and are currently utilizing as the basis for professional development programs for K-8 teachers. In this specialized training, teachers explore new mathematical and scientific ideas, conduct science experiments to bring back to the classroom, perform data analysis and use calculators, computers and telecommunications networking as tools to transform thinking and learning.
The NSF also recognized the efforts of the NJ SSI school reform initiative involving 32 districts which were selected for their demonstrated commitment to reform, and represent a cross-section of the state including urban, suburban and rural areas. These districts are participating in an in-depth, school-based, district wide initiative to restructure mathematics, science, and technology in grades K-12. Districts leverage resources and form partnerships with statewide groups, business, community resources, colleges and universities and others to develop and implement a long term strategic plan with specific benchmarks, including equity, assessment, and participation in intensive professional development tied to the new mathematics and science standards.
"Math is Everywhere" Contest
A panel of judges will select the top ten entries based on creativity and originality. Every child who enters will receive a certificate of merit.
To enter, the child should send their essay along with their name, address, and phone number to:
411 Park Street
Upper Montclair, NJ 07043
FAMILY TOOLS & TECHNOLOGY
Applications are being accepted for January 1997
FAMILY TOOLS & TECHNOLOGY is intended to make design technology (pre-engineering) accessible and exciting to a diverse population of students, especially females and minorities, and to promote parental involvement in the intellectual development and academic achievement of all children. It focuses on technological challenges in pre-engineering, architecture and physical science, not traditionally found in the elementary curriculum.
For applications and more information about Rutgers FAMILY TOOLS & TECHNOLOGY, FAMILY SCIENCE or FAMILY MATH, contact:
c/o Consortium for Educational Equity,
4090 Livingston Campus
New Brunswick, NJ 08903
(908)445-2071 Fax (908) 445-0027
L. Charles Biehl and Joseph G. Rosenstein
In preferential balloting, each person votes for all candidates, indicating his/her order of preference of the candidates. Thus, with four candidates in the race, there are altogether 4! = 24 possible ways a person can vote, reflecting the 24 possible orderings, or preference schedules, of the four candidates, Frumpf, Gluck, Ray, and Smiff. The results of the election can then be described by listing how many people voted for each of 24 preference schedules. This is depicted in the table below; the first column, for example, indicates that for 14 people, their order of preference was F,G,R,S.
But how do you tell who won?
There are a number of ways of tallying the ballots. In the plurality method, the winner is the candidate who received the largest number of first-place votes; preferences in effect are ignored, as is the case with standard elections where each person votes for just one candidate. In the run-off method, all but the two candidates A and B who received the most first place votes are eliminated; the winner is the one of A and B who, accordingly to the preference schedules, would have received the most votes in a two-candidate race. In the sequential run-off method, the candidate with the least number of first place votes is eliminated, the preference schedules are retabulated and the process is repeated; when two candidates are left, the plurality method (or run-off method) is applied to determine the winner. In the Borda count method with four candidates, each candidate receives 3 points for each first-place vote, 2 points for each second-place vote, and 1 point for each third-place vote; the winner is the candidate who receives the greatest total count. In the Condorcet method, each candidate A is compared to each other candidate, and is assigned a number of points equal to the number of candidates that A would have defeated in an one-on-one election.
Your students can determine who would win the election by each of the methods above (answers are provided below) and then use preferential balloting for other situations, such as determining their favorite soft drink, rock star, or mathematician.
What is striking is that it is possible for these methods to lead to different winners. A situation where the methods give four different winners is featured in the videotapes accompanying For All Practical Purposes, as well as in the book itself, published by the Consortium for Mathematics and Its Applications (COMAP).
An entirely different approach to balloting is called approval voting. Here each person can vote for any number of candidates, all those who he or she would approve of. After all the ballots are collected, the person who has been "approved" by the largest number of voters is elected. Imagine the impact on a three-person race if each person could vote for either one or two candidates! This system is now being used for elections of officers in many professional societies, and although it has many advantages over the standard form of balloting, it has not yet been adopted in any major political election. (In the table below, who would win if we assumed that voters "approved" their top two choices?)
AMTNJ's Annual Conference. Hilton, East Brunswick.
For more information contact Nancy Schultz at (201) 790-6184.
AMTNY's 46th Annual Conference. Concord Resort Hotel, Kiamesha Lake, NY.
For more information write to: Barb Stewart, 6531 Swamp Road, Conesus, NY 14435.
MAA New Jersey 40th Anniversary Conference. Held at Lucent Technologies in Murray Hill.
Contact Terry Michnowicz at (201)200-3219 for more information.
November 14 - 17.
MATYC National Conference. Long Beach California.
For more information call Agnes Azzolino at (908) 739-3951.
Workshops on the standards for K-4 teachers. December 2 at Academy Central, December 3 at Academy Central, and December 5 at Academy South.
See page 5 for details.
Good Ideas in Precalculus ... Conference (11th Annual). Busch Campus, Rutgers University, 8:30 a.m. to 3:30 p.m.
Call Bonnie Katz at 908/445-4065 for further information. Note change in date!
Graphing Calculator Conference. Busch Campus, Rutgers University, half-day Friday and/or full-day Saturday.
Call Debbie Toti at 908/445-2894 for further information. Hold the date!