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Assessment at the Department Level

Mathematical Methods and Modeling

for Secondary Mathematics Teacher Education

Program Dates: June 23-28, 2002

Program Location: Lewis and ClarkCollege, 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 PostgraduateSchool, 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

IllinoisStateUniversity

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 IllinoisStateUniversity (June 1999) and New HampshireUniversity (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

Welcome at Lewis and ClarkCollege

 

 

Overview (Dossey, Giordano, McCrone)

Refreshments

Walking Tour of Lewis and Clark Campus

Monday

 

Secondary Mathematics, Methods and Modeling (Dossey & McCrone)

 

Break

 

Modeling as a Way of Knowing and Understanding: (Giordano)

 

Lunch

 

Modeling Projects (Giordano & Dossey)

 

Break

 

Modeling Projects (Giordano, Dossey, & McCrone) Modeling Projects in Discrete Dynamical Systems (Giordano & Dossey) (Drugs and Financing and Car—Computer Lab)

 

End of Day

 

Evening social event

Tuesday

 

Algebra and Functions in the Methods Course (Dossey)

 

Break

 

Modeling with Discrete Dynamical Systems (Giordano)

 

Lunch

 

Data Analysis, Probability, & Data and Statistics (Dossey)

 

Break

 

Building Simulation Models (Giordano) (in Computer Lab)

 

End of Day

Evening Free

Wednesday

 

Geometry and Measurement (McCrone)

 

Break

 

Modeling with Proportionality & Geometric Similarity (Giordano)

 

Lunch

1:00 p.m. Planning and Clinical Experiences (McCrone)

 

Break

 

Review of NSF funded high school projects (McCrone)

 

End of Day

 

Picnic/Sundown at Pacific Ocean

 

 

Thursday

 

Number and Operation (McCrone)

 

Break

 

Assessment and Rubrics (Dossey)

 

Lunch

 

Model Fitting and Empirical Model Construction (Giordano)

 

Break

 

Modeling Projects/Computer lab (Giordano, Dossey, & McCrone)

 

Sharing of Teaching Ideas (Group 1) (Dossey)

 

End of Day

Evening Free

 

 

Friday

 

Pulling the Methods Modeling Course Together (Dossey & McCrone)

 

Sharing of Teaching Ideas (Group 2) (McCrone)

 

Break

 

Project Group Reports (10 minutes @) (Giordano)

 

Wrap-Up and Final Planning for BaltimoreReunion Session

 

. 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 ClarkCollege 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 & ClarkCollege 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.

 

 

 

 

FRANK R. GIORDANO: Professor of Operations Research and Defense Analysis, Naval Postgraduate School, Monterey, California EDUCATION: Ph.D., Operations Research, University of Arkansas, 1975; M.S., Management Science, University of Arkansas, 1974; Olmsted Scholar: Certificate of Civil Engineering, (equivalent to an MS Degree), University of Madrid, Spain; B.S., United States Military Academy, Distinguished Honor Graduate, 1965. ACADEMIC EXPERIENCE: Naval Postgraduate School 1999-present, Consortium of Mathematics and its Applications Projects (COMAP), Director of Undergraduate Education, 1996-1999; Carroll College 1995-1996; United States Military Academy 1982-1995 (Instructor to Professor and Chair; Naval Postgraduate School, 1981-82; United States Military Academy, 1975-1981; Other U. S. Army Assignments 1964-1975. PROFESSIONAL SERVICE: MAA (Chair, Council on Competitions, 1998-present; Member, Committee on Undergraduate Program in Mathematics, 1993-1998; Chair, Mathematics Across the Disciplines Committee, 1995-1998), SIAM (Education Committee, April 1991 to present). GRANTS: 7 NSF and 1 Sloan Grant totaling over $3,000,000. PUBLICATIONS: 11 books (plus new editions of several) and several articles. WORKSHOPS: 10 weeklong workshops on modeling (5 for math professors—MAA section workshops, 5 for teacher educators); 24 MAA minicourses on modeling, applications, or discrete dynamical systems.

 

 

 

 

 

 

JOHN A. DOSSEY: Distinguished University Professor of Mathematics, IllinoisStateUniversity, Normal, Illinois. EDUCATION: Ph.D., Mathematics Education, University of Illinois at Urbana-Champaign, 1971; M.S. in Mathematics, IllinoisStateUniversity, 1968; B.S. in Mathematics, IllinoisStateUniversity, 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. MilitaryAcademy (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, IllinoisStateUniversity, 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, DartmouthCollege (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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