Mathematical Methods and Modeling
for Secondary Mathematics Teacher Education
Program Dates: June 23-28, 2002
Program Location: Lewis and Clark
College, Portland,
Oregon 97219
Presented by:
John A. Dossey, Distinguished University Professor
of Mathematics Emeritus
Mathematics
Department, Illinois State
University, Normal,
IL
Frank R. Giordano Professor
of Operations Research and Defense Analysis Naval Postgraduate
School, Monterrey,
CA
Sharon McCrone Assistant Professor of
Mathematics
Mathematics
Department, Illinois State
University, Normal,
IL
Project
Director:
Sharon
Soucy McCrone
Phone: (309)-438-7089
Fax: (309)-438-5866
smccrone@math.ilstu.edu
Mathematics
Department
Illinois
State University
Normal,
IL 61790-4520
Overview of the Program
The proposed
workshop is designed to help those assigned to teach mathematics methods courses
for secondary teachers of mathematics.
Through NSF grant DUE-9752691 we developed a teaching methods/discrete
mathematical modeling course to be taught to perspective or inservice secondary
school teachers. The project led to a
text published in the fall of 2001 by Brooks/Cole entitled Mathematics
Methods and Modeling for Today’s Mathematics Classrooms. It
is designed to prepare students to be able to teach secondary mathematics in a
way compatible to the NCTM Standards and to be used in courses reflecting the
CBMS recommendations for the mathematical education of teachers of
mathematics. The professional
development of teachers is most lacking in their abilities to use mathematics
in modeling situations and in their capabilities to lead students in more
project oriented work. These are two of
the hallmark features of newer curricula in mathematics. If change is to take place, it must begin
with the preservice teachers of mathematics and continue with the continuing
professional development of inservice teachers.
The three proposers have conducted
highly successful week-long workshops under NSF support for about 30
participants each at Illinois State
University (June 1999) and New
Hampshire University
(June 2001) and Chautauqua Courses at the University
of Arizona (March 2001 and March
2002) [participant evaluations available on request]. The following outline provides a view of the
proposed workshop. Brooks/Cole
Publishing has agreed to provide each participant with a complimentary copy of
the text and an instructor’s manual. The
text includes a CD prepared by COMAP (Consortium for Mathematics and its
Applications) containing past contest problems from the undergraduate modeling
contest (MCM problems), the high school modeling contest (HiMCM), and
additional materials from COMAP’s modeling resources.
There will be a
pre-workshop series of web-based activities and readings from the text and
other sources to bring participants to a common level for the beginning of the
workshop. Most of these will deal with
NCTM, CBMS, and CUPM recommendations for the profession development of
teachers. Post workshop activities will
consist of modeling and methods projects.
Participants will be expected, individually, to rethink their current
methods classes and submit revised curricula and methods-based materials. In
addition, the modeling project groups from the workshop will each develop, via
e-mail and snail-mail conferencing, sample modeling projects exemplifying the
methods show in the workshop and which also exemplify the NCTM Standards. These modules would be designed both for use
in a methods course taught from a modeling perspective, as well as being
capable of modification for use in a secondary school classroom. These modeling projects will be due in
November, 2002, and will be the focus of a reunion meeting of the project
participants to be held in conjunction with the Winter Meetings in Baltimore
in January, 2003.
Description of the Summer Program
Mathematical Methods and Modeling
for
Secondary Mathematics Teacher
Education Workshop Schedule
Sunday
7:00 p.m. Welcome at Lewis and Clark
College
Overview
(Dossey, Giordano, McCrone)
Refreshments
Walking Tour of Lewis
and Clark Campus
Monday
8:30 a.m. Secondary
Mathematics, Methods and Modeling (Dossey & McCrone)
10:00
a.m. Break
10:15
a.m. Modeling as a Way
of Knowing and Understanding: (Giordano)
11:30
a.m. Lunch
1:00 p.m. Modeling Projects (Giordano &
Dossey)
2:00 p.m. Break
2:15 p.m. Modeling Projects (Giordano, Dossey,
& McCrone) Modeling Projects in Discrete Dynamical Systems (Giordano &
Dossey) (Drugs and Financing and Car—Computer Lab)
4:00 p.m. End of Day
7:00 p.m. Evening social event
Tuesday
8:30 a.m. Algebra and Functions in the Methods
Course (Dossey)
10:00
a.m. Break
10:15 a.m. Modeling
with Discrete Dynamical Systems (Giordano)
11:30
a.m. Lunch
1:00 p.m. Data Analysis, Probability, & Data
and Statistics (Dossey)
2:15 p.m. Break
2:30 p.m. Building Simulation Models (Giordano)
(in Computer Lab)
4:00 p.m. End of Day
Evening
Free
Wednesday
8:30 a.m. Geometry and Measurement (McCrone)
10:00
a.m. Break
10:15
a.m. Modeling with
Proportionality & Geometric Similarity (Giordano)
11:30
a.m. Lunch
1:00 p.m. Planning and
Clinical Experiences (McCrone)
2:15 p.m. Break
2:30 p.m. Review of NSF funded high school
projects (McCrone)
3:00 p.m. End of Day
4:30 p.m. Picnic/Sundown at Pacific
Ocean
Thursday
8:30 a.m. Number and Operation (McCrone)
10:00
a.m. Break
10:15
a.m. Assessment and
Rubrics (Dossey)
11:30
a.m. Lunch
1:00 p.m. Model Fitting and Empirical Model
Construction (Giordano)
2:15 p.m. Break
2:30 p.m. Modeling Projects/Computer lab (Giordano,
Dossey, & McCrone)
3:15 p.m. Sharing of Teaching Ideas (Group 1) (Dossey)
4:15 p.m. End of Day
Evening
Free
Friday
8:30 a.m. Pulling
the Methods Modeling Course Together (Dossey & McCrone)
9:30 a.m. Sharing of Teaching Ideas (Group 2)
(McCrone)
10:30
a.m. Break
10:45
a.m. Project Group Reports
(10 minutes @) (Giordano)
11:45
a.m. Wrap-Up and Final
Planning for Baltimore Reunion
Session
12
noon. Adjourn
Other Preconference Issues:
1. Letter to participants:
Lewis & Clark
Transportation Options, Campus Map and Brochure
Schedule of local activities
Information on Check-In at Lewis
and Clark
Information on registration
Information on what’s up in Portland—Music,
Theatre…
Any necessary items to bring
Contact Phone numbers: Us, Grad Student, Department
2. Come prepared to share about their methods
class/bring one favorite activity lesson
(30 copies)
3. Web-Based readings and communication
schedule/mailing of textbook copies.
4. Get a schedule of arrivals for
pickups/departures with airports
5. Get computer labs/calculators reserved and
check on software installed
(Minitab, EXCEL, Geometric
Sketchpad, MAPLE…)
Facilities and Resources
Lewis and Clark College
was founded in Albany, Oregon
in 1867. In 1942, the school moved to
the former Lloyd Frank estate in Portland's
southwest hills. In 1965 the Northwestern
School of Law was merged with Lewis &
Clark College and
in 1984 graduate programs in education and counseling psychology were
consolidated into the Graduate School of Professional Studies, now called the Graduate School of Education.
Today, the campus hosts slightly more than 3000 students.
The
campus is situated in a wooded residential area six miles from downtown Portland,
Oregon. (Metropolitan area population is
1.7 million.) The Pacific Ocean is 80 miles to the west;
Mount Hood and the Cascade Mountains
are 50 miles to the east. The campus is spread across 133 acres on Palatine
Hill. With its towering fir trees, serene terraced gardens, and spectacular
view of Mount Hood, it is one of the nation's most
beautiful campuses. About 12 acres, including the Manor House and Gatehouse,
are listed in the National Register of Historic Places. Lewis & Clark is
the largest independent college in Oregon.
The Lewis and Clark Department of
Mathematical Sciences has distinguished itself with a host of quality graduates,
high performances in the collegiate Mathematical Contest in Modeling, and in
its quality teaching and undergraduate curriculum. Dr. Roger Nelsen of the department is well
known for his MAA published volumes on Proofs
without Words.
In addition to the many computer labs around
campus, the Mathematical Sciences Department has two new Linux based labs,
added in the summer of 2001, thanks to a generous grant from the Keck
Foundation. They are located in the Olin
Center for Physics and Chemistry. The classroom space is ample, well appointed,
and roomy.
Experience
and Capabilities of Organizers
In addition to the three similar
workshops mentioned above, the proposers are quite experienced in curricular,
professional development workshops, and working with collegiate
instructors. Their brief vitae are as
follows:
JOHN A. DOSSEY: Distinguished University Professor of Mathematics, Illinois
State University,
Normal, Illinois.
EDUCATION: Ph.D., Mathematics Education, University
of Illinois at Urbana-Champaign,
1971; M.S. in Mathematics, Illinois State
University, 1968; B.S. in
Mathematics, Illinois State
University, 1965.
ACADEMIC EXPERIENCE: Public
School Teaching (Grades 7-12), 1965-1967; Instructor to Distinguished
University Professor, Illinois State University, 1967-1998; Visiting Professor
U.S. Military Academy
(1993-94). PROFESSIONAL SERVICE: President,
National Council of Teachers of Mathematics,
1986-1988; Chair, Conference Board of Mathematical Sciences, 1996–-1998;
Chair, United States National Commission on Mathematics Instruction, National
Research Council, 1995–1998; Member, 1994—1998;
Member, Mathematical Sciences Education Board, National Research
Council, 1985–89; Chair, National
Professional Teaching Standards Board Mathematics Committee 1995–1998; Member,
1990–1998; Member, Board of Governors,
Mathematical Association of America
1988-1991. GRANTS: 7 NSF and 2 State of
Illinois Grants totaling over
$2,000,000. PUBLICATIONS: 70+ books authored or co-authored plus
over 100 articles/chapters in other publications. WORKSHOPS: Directed or
co-directed 8 NSF/State sponsored summer workshops for teachers or teacher
educators, plus the three project specific workshops mentioned above.
SHARON SOUCY MCCRONE: Assistant Professor of Mathematics, Illinois
State University,
Normal, Illinois. EDUCATION:
Ph.D. in Mathematics Education, University of New
Hampshire (1997); M.S. in Mathematics, University
of New Hampshire (1992); A.B. in
Mathematics, Dartmouth College
(1988). ACADEMIC EXPERIENCE: Public
School Teaching (Grades 9-12), 1988-1990; University of New Hampshire, graduate
assistant, mathematics instructor, 1990-1997; Assistant Professor of
Mathematics, Illinois State University,
1997-present. PROFESSIONAL SERVICE: Women
and Mathematics Education (Treasurer, 1997 - 1999); Psychology of Mathematics
Education - North America (Program Committee, 1997); Consultant,
NCTM Principles and Standards Project, 1998-2000. GRANTS: 1 NSF Grant and 1 Illinois State University
Faculty Grant totaling over $400,000. PUBLICATIONS: 1 Book, 2 Chapters, and 7 other
publications. WORKSHOPS: Three workshops
mentioned above, plus involvement in several others while at the University
of New Hampshire.
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