SUMMARY. Research and Professional Activity

Department of Mathematics and Statistics Annual Report July 2004 – June 2005 Prepared by John Gillespie, Chair, and Andrew Stephenson, Academic Servic...
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Department of Mathematics and Statistics Annual Report July 2004 – June 2005 Prepared by John Gillespie, Chair, and Andrew Stephenson, Academic Services Secretary SUMMARY Research and Professional Activity  5 books, 8 research papers, and 1 article published  4 papers accepted for publication, 5 papers submitted  11 professional presentations, 2 workshops conducted  7 articles refereed, 13 books and articles reviewed  8 new grants funded, 2 continuing grants, 1 pending, 1 contract Teaching and Curriculum 

The number of declared mathematics concentrators was 118 in the Fall of 2004 (as compared to 100 from the Fall of 2003 and 92 from the Fall of 2002) and 110 in the Winter of 2005 (as compared to 107 from Winter 2004 and 94 in Winter 2003). Undergraduate enrollment in mathematics is stagnant due to lower demand in service courses.



The number of students in the Graduate Applied and Computational Mathematics program is expected to be fifteen this fall and was twelve in the Fall of 2004, twelve in the Fall of 2003, nine in the Fall of 2002, seven in the Fall of 2001, and four in the Fall of 2000.



Two sections of Math 131 were taught in a distance learning format in Winter 2005.



During the Fall 2004 semester three sections of calculus and during the Winter 2005 semester two sections of calculus were offered off campus at the Dearborn Center for Mathematics, Science, and Technology.



Through the Center for Mathematics Education, the department offered on-site classes for middle school teachers in the Detroit Public Schools, Washtenaw ISD, Taylor Public Schools, Wayne County RESA, and Oakland Schools. The mission of the Center is to prepare high quality teachers of K-12 mathematics and to support the continuing professional development of teachers of mathematics.



The Mathematics Learning Center is in its fourth year of operation and offers an outstanding support facility for students and faculty.



The FTIAC retention project, aimed at increasing the success rate in mathematics courses and offered for the first time in Fall 2002, was continued during the Fall of 2004.



Extensive faculty support for student program advising, student career advising, student competitions, student projects, the mathematics colloquium, assessment activities, and alumni relations.

Service

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Table of Contents

I.

General Departmental Introduction

II.

Faculty and Staff Development A. List of all faculty and staff members B. Projected Needs C. Outside Employment

III.

Teaching Programs – Developments and Changes A. Developments in the curriculum B. Enrollments, Concentrators, Graduates

IV.

Scholarly Activities of the Faculty

V.

Service Contributions

VI.

Grants and Contracts

VII.

Program Assessment Activity

VIII.

Summary

Appendix A. Service Activities of the Faculty B. Response to the Department‟s Assessment Report

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(I) General Departmental Introduction The Department of Mathematics and Statistics is one of five departments in the College of Arts, Sciences and Letters. The Department supports four undergraduate degree programs: a concentration and a minor in mathematics, a minor in applied statistics, and a minor in computer and computational mathematics (CCM). In addition to these four programs, a group of faculty in Mathematics Education supports undergraduate degree programs in elementary education, where a major or minor in mathematics can be declared. These degree programs are in the School of Education. A large part of the teaching in the Department relates to service courses at the freshmen and sophomore levels for students in the College of Engineering and Computer Science, the School of Management, and the School of Education. Since the fall term of 2000, the Department also offers a Master's degree program in Applied and Computational Mathematics. The Mathematics Education faculty support a Specialty in Middle School Mathematics as part of a Master of Arts in Education degree. December 2004 saw the first graduates of this program with four graduates and three more graduates in May 2005. Professor Rubenstein designed the program and is the program advisor. During 2004-2005, the Department continued advancing its major long term goals: the stabilization and further development of the Master‟s degree program in Applied and Computational Mathematics, the development of the curriculum for the Specialty in Middle School Mathematics, and maintaining the vitality of a strong undergraduate curriculum in mathematics with a stable number of mathematics concentrators. Due to the phased retirement of a faculty in Mathematics Education the Department was authorized to conduct a search for a faculty member in Mathematics Education. Despite a spirited search with three candidates brought on campus, the search was unsuccessful and remains open. A huge amount of time was spent by the Department Chair and the Department Executive Committee on Lecturer Employee Organization related business. In the fall term much time was spent on the procedures for annual and major reviews with much discussion and many drafts. In the winter term the Department Executive Committee conducted thirteen major reviews of lecturers. This took the majority of committee time. Beginning in the Winter 2005 term the Department was first able to award two $500 scholarships to students from funds that have been solicited for this purpose for some time. The Scholarship Committee, chaired by Professor Michael Lachance, solicited applications and made the selection for these scholarships in the fall. This committee also awarded two students $1000 scholarships during the Winter 2005 term to be credited in the 2005-2006 academic year. Professor John Gillespie has led the fundraising campaigns for the scholarship funds. Six mathematics students were also awarded National Science Foundation Scholarships in 2004-2005 from a grant solicited by Professor Margret Höft. This grant will expire in 2006 with no additional funding anticipated. The Fall 2004 term began with the former long-term administrative assistant recently retired and with the long-term academic secretary soon to retire in September. In August a department committee led by the Chair conducted a search leading to the hiring of Belinda Soliz as the department administrative assistant in September. This was an incredibly important hire and has resulted in a very positive environment in the department office and a new very helpful attitude regarding the approach to the services provided by the office. Following a second search Andrew Stephenson was hired as the Department‟s academic services secretary completing the search for full time office staff. These two recent hires have produced quality work efficiently and on time and the Department is very fortunate to have them both. Professor John Fink was promoted to full professor effective September 1, 2005.

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(II) Faculty and Staff Development During the academic year 2004-2005, the Department had twenty-seven full-time faculty, ten full professors with tenure, six associate professors with tenure, four assistant professors without tenure, and seven full-time lecturers. Three of the faculty (Professors John Gillespie, Paul Lin, and Tom Snabb) are primarily responsible for the program in applied statistics, and five (Professors Judith Flowers, Angela Krebs, Rheta Rubenstein, and Roger Verhey, and Lecturer Eileen Kaller) are primarily involved in mathematics education. Professor Roger Verhey began a phased retirement on January 1, 2005, which will be completed on December 31, 2006. He will not have any teaching duties during that time. Additionally, there were twenty-three adjunct faculty, who taught mostly freshmen-sophomore level service courses. Nine of the twenty-three taught mathematics education content and methods courses. Associate Professor John Fink was promoted to professor with tenure, effective September 1, 2005. As in previous years, the professional activities of the faculty led to a wide variety of accomplishments pertaining to research, teaching, and service to the department, the university, and to the mathematics, mathematics education, and statistics profession at the state and national levels. These activities are listed in parts (IV) and (V) of this report and in Appendix A. Professor Tom Snabb was on sabbatical leave during the fall term of 2004, as were Professors Paul Lin, Margret Höft, and John Fink during the winter term of 2005. Participation in a variety of projects and assignments led to released time for a number of faculty members. Ron Morash, in his position as Associate Dean, had a teaching load of two courses per academic year. In Fall 2004 he had an additional course of released time due to his service on the bargaining committee with the LEO union. John Gillespie, as Department Chair, had a teaching load of three courses per academic year, a load that is one course too much. Roger Verhey had a reduction in teaching load of one course due to his position as Director of the Center for Mathematics Education. Frank Massey had a one-course reduction as Director of the Graduate Program, and Rheta Rubenstein had a one-course reduction to develop the curriculum and coordinate the mathematics component of the Specialty in Middle School Mathematics of the Master of Arts in Education degree. Barbara Matthei had a reduction of three credits to maintain the equipment in the calculus computer laboratories and classrooms, and to update the calculus lab assignments. John Clifford had a one-course reduction in teaching load to coordinate the Department‟s FTIAC Retention Project, funded by Provost Simpson, and Rama Chidambaram had a one-course reduction under the College‟s reduced teaching load program for junior faculty. In addition, the following faculty had released time funded through outside grants: Judith Flowers, Margret Höft, Rheta Rubenstein, and Roger Verhey. All other full-time faculty taught a full load of courses. A. List of all faculty and staff members. NAME

TITLE – AREA OF SPECIALIZATION

Brown, James

Professor, Mathematics

Chidambaram, Rama

Assistant Professor, Mathematics

Clifford, John

Assistant Professor, Mathematics

Fakler, Robert

Associate Professor, Mathematics

Fink, John

Associate Professor, Mathematics (sabbatical winter 2005)

Flowers, Judith

Assistant Professor, Mathematics and Mathematics Education

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Gillespie, John

Chair, Professor, Mathematics and Statistics

Höft, Margret

Professor, Mathematics (sabbatical winter 2005)

James, David

Professor, Mathematics

Kaller, Eileen

Lecturer, Mathematics and Mathematics Education

Karasik, Inessa

Senior Instructional Associate

Kiyak, James

Lecturer, Mathematics

Krebs, Angela

Assistant Professor, Mathematics and Mathematics Education

Lachance, Michael

Professor, Mathematics

Lin, Paul

Associate Professor, Mathematics and Statistics (sabbatical winter 2005)

Massey, Frank

Associate Professor, Mathematics and Computer Science

Matthei, Barbara

Lecturer, Mathematics

McKenna, Timothy

Lecturer, Mathematics

Morash, Ronald

Professor, Mathematics, Associate Dean

Papp, Frank

Professor, Mathematics

Remski, Joan

Associate Professor, Mathematics

Rubenstein, Rheta

Professor, Mathematics and Mathematics Education

Santiz, Helen

Lecturer, Mathematics

Snabb, Thomas

Associate Professor, Statistics (sabbatical fall 2004)

Soliz, Belinda

Administrative Assistant I

Stephenson, Andrew

Academic Services Secretary II

Strowe, Andrew

Lecturer, Mathematics

Verhey, Roger

Professor, Mathematics and Mathematics Education

Wray-McAfee, Sandra

Lecturer, Mathematics

Zhao, Jennifer

Professor, Mathematics

B. Projected needs With the phased retirement of Professor Roger Verhey to be completed December 31, 2006 (with no teaching duties during that time) and the retirement of Professor Judith Flowers scheduled for April 30, 2006 (currently teaching two courses a year due to her grant) both leadership and skill must be recruited in Mathematics Education. The recent search for a faculty at the assistant/associate level in Mathematics Education to begin in the fall was unsuccessful. The search remains open with the potential to hire someone beginning January 2006 but most likely September 2006. A second position has been approved (as a line retention) at the assistant professor level. It is critical to hire at least one faculty to begin September 2006 and extremely desirable to hire in both lines. Retaining Judith Flowers on campus in some capacity, perhaps in a research scientist position, is very important. She would be supported by teaching one course a semester and through grant money associated with Improving Teacher Quality grants and

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possibly through the Center for Mathematics Education. The new faculty are particularly needed to teach courses. Thirteen adjunct faculty taught thirty-six mathematics education courses during the Fall 2004 and Winter 2005 terms. Full time Mathematics Education faculty are heavily involved in training and sometimes observing adjunct faculty (especially new faculty) in the teaching methodology promoted here at UM-Dearborn, which is based heavily on inquiry-based instruction and is consistent with the recent standards in Mathematics Education. Attention is also needed in the secondary Mathematics Education program and career advising areas. A critical area is continuing leadership in the Center for Mathematics Education where Professor Roger Verhey is currently the center director. Professor Verhey has expressed interest in continuing his directorship past his retirement. We plan to involve at least one of the newly hired faculty in the Center‟s leadership as the Associate Director. Growing the graduate program in Applied and Computational Mathematics remains a challenge. The number of students in the program has increased, beginning with only four when the program began in the Fall of 1998, as the enrollments are stagnant with a declining interest of engineering graduate students in taking the program‟s courses possibly because of declining number of engineering graduate students. The new governance structure for the program may prove to be nimble and may come up with some answers. What exactly the “needs” may be, except for more students, is unclear. C. Outside Employment Kiyak, James, Employed. By Schoolcraft College to teach ten hours each semester, during the regular academic year. Lachance, Michael, Consultant. To Tarus Products, Inc. for 20 hours per month. McKenna, Timothy, Employed. By Oakland Community College, teaching two courses in the fall and one in the winter. Rubenstein, Rheta, Consultant. With Heather Hill and Deborah Ball in the Learning Mathematics for Teaching Project. Consultants for this project spent one afternoon learning about the project, time before the next meeting drafting items, and another afternoon together reviewing draft items. ____________, Reviewed. A Draft of a textbook for Key College Press. (III) Teaching Programs – Developments and Changes A. Developments in the curriculum The mathematics concentration program follows a three-year program plan and classes were scheduled according to this plan. In light of the master‟s degree program, the undergraduate program plan has been modified to integrate course offerings for the new graduate program, an evening program, with the offerings of the undergraduate program, which is primarily a daytime program. The program plan is an evolving document and is adjusted on an annual basis. There were no major changes in the undergraduate curriculum for the concentration in mathematics. A new course proposal for Stat 555, Environmental Statistics, that is to be offered during even numbered years in the winter term, was submitted to the curriculum committee. The course was offered as a topics course, Stat 590 & ESCI 595, during the Winter 2004 semester by Professor Tom Snabb. The course was developed by Professors John Gillespie and Tom Snabb at the request of Professors Kent Murray and John Thomas for the graduate students in the

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environmental science program. During the Winter 2004 semester thirteen students took the course as ESCI 595 and five as Stat 590 indicating some interest in the course outside of the environmental science graduate students. The curriculum for the graduate program in Applied and Computational Mathematics had an addition. Assistant Professor Rama Chidambaram developed and successfully offered a new course in discrete applied mathematics, Discrete Optimization, Math 583, during Fall 2004. The course reflects her expertise in algorithms for supply chains. The Mathematics Education faculty, under the leadership of Rheta Rubenstein, has designed the courses for the Specialty in Middle School Mathematics as part of the Master of Arts in Education degree. Other new developments include an increase in the number of mathematics education courses that are offered on-site for middle school teachers in public schools. As mentioned earlier, classes were taught on-site for middle school teachers in the Detroit Public Schools, Washtenaw County ISD, the Taylor Public Schools Onsite Program, Oakland Schools, and Wayne County RESA. The Mathematics Education faculty has continued its project of a major revision of the course sequence Math 385/386/387 (Mathematics for Students in Elementary Education). The major revision was partially supported by a major NSF grant, Professor Judith Flowers, P.I. The Department continued to provide special sections of Math 080, Math 090, and Math 105 with additional class time for students in the Program for Academic Support. Math 090 is a continuing problem with over 50% of students not completing the course successfully. Math 080 has few students enrolled and Math 090 has experienced fewer students enrolling over a period of several years. Students‟ poor performance in Math 090 is a challenge without a clear answer. Achieving a 50% success rate would bring us into what is experienced at other schools, but is still now a very satisfying result. A group is being assembled consisting of the new Math 080/090 course chair, Eileen Kaller, the Math 104/105 course chair, Barbara Matthei, and the Department Chair will consider ideas for improving the success rate. B. Enrollments, Concentrators, Graduates The mathematics head count fell in every term except Summer I as compared the previous year: fall, -4.1%; winter, -4.4%; summer I, +1.1%. CECS students are important as every CECS student is also a student of mathematics and CECS has had marked declining enrollments. For the Fall 2004 term a section of Math 115 that had not run the previous year was held off the market and a planned section of Math 514 was cancelled. In the Winter 2005 term a section of Math 205 was held off the market because of low enrollments the previous year and no courses were cancelled. The number of mathematics concentrators has actually increased, not following the national trend of decreasing numbers of students in the mathematical sciences. In the Fall of 2004 there were 118 mathematics majors, in the Fall of 2003 there were 100, and in the Fall of 2002 there were 92. The undergraduate program is full of vitality and energy with students participating in competitions and research projects and doing high quality work. The honor society Pi Mu Epsilon has attracted a steady stream of good students who are continuing the traditions of the society. Other activities also connect the faculty and the students: a general advising section and pizza party in the fall; advising newsletters in the fall and winter terms; a popular career event, Career Paths in the Mathematical Sciences, featuring mathematics program alumni/ae is offered every January; the continuing series of Do Nought Cafés bringing students and faculty together on selected Monday and Friday mornings for torus pastries and coffee; Pi Day on March 14 brought a diverse group of students, faculty, and staff together to learn a bit about  (equal to the ratio of the circumference to the diameter of a circle) and to consume about

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twenty pizza pies and a number of dessert pies; four colloquia in the winter term that all had appeal to undergraduate students; an end of year awards ceremony that included recognition of graduating seniors and a Pi Mu Epsilon induction. Ranya Obeid was the undergraduate Mathematics Honors Scholar, Michelle Napolitan was the graduate Mathematics Honors Scholar and Robin Sands was the Rasmussen award winner. Also of interest is the awarding of the 2005 CASL Distinguished Service Award to 1996 mathematics alumna Karen Pikula. Enrollment in applied statistics has continued to fluctuate, depending very much on policy changes in the College of Engineering and Computer Science. The statistics faculty is planning to revise the minor in applied statistics and is considering a college wide program in applied statistics. An applied statistics track as part of the graduate program in applied and computational mathematics has also been debated. There were seventeen graduates who received bachelor‟s degrees in mathematics from August 2004 – May 2005. There were fourteen in the 2003-2004 cycle, nineteen in the 20022003 cycle, eighteen in the 2001-2002 cycle, and fourteen in the 2000-2001 cycle. There were five graduates who received Master of Science degrees in Applied and Computational Mathematics from August 2004-May 2005. There were two in the 2003-2004 cycle and one in the 2002-2003 cycle. (IV) Scholarly Activities of the Faculty WORKS PUBLISHED FROM JULY 1, 2004 THROUGH JUNE 30, 2005 Brown, James Ward, Churchill, R.V., Simmons, George F., and Nicholson, W. Keith, Book. “Engineering Mathematics,” The McGraw-Hill Companies, Inc., Chinese language edition, 2005. ____________ and Churchill, R.V., Book. “Complex Variables and Applications,” 7th ed., The McGraw-Hill Companies, Inc. and Tsang Hai Book Publishing Company, Chinese language edition, 2005. ____________ and Churchill, R. V., Book. “VARIABLE COMPLEJA Y APLICACIONES,” Septima edicion, McGraw-Hill/Interamericana de Espana, S.A.U., Madrid, 2004. Chidambaram, Rama and Armbruster, Dieter, “Application of Genetic Algorithms in Semiconductor Supply Chain Planning,” proceedings of the 2005 International Conference on Algorithmic Mathematics and Computer Science, Las Vegas. Clifford, John H. and Dabkowski, M., Article. “Singular Values and Schmidt Pairs of Composition Operators on the Hardy Space,” Journal of Mathematical Analysis and Applications, No. 305, 2005, pp. 183-196. ____________, James, D., Lachance, M., and Remski, J., Article. “A constructive approach to singular value decomposition and symmetric Schur factorization,” The American Mathematics Monthly, Vol. 112, 358-363, 2005. Fakler, Robert A., Article. “The Desert Crossing Problem: An Interesting Application of Infinite Series,” Octagon Mathematics Magazine, Vol. 12, No. 2, October 2004, pp. 651-653. ____________, Article. “A Carpenter‟s Rule of Thumb,” Mathematics Magazine, Vol. 78, No. 2, April 2005, pp. 144-146.

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Flowers, Judith M., Lo, J. J., and Grant, T., Article. Developing Mathematical Justification: The Case of Prospective Elementary Teachers. In D. McDougall and J. Ross (Eds.), Proceedings of the twenty-sixth international conference for the psychology of mathematics education, (2004), 1159-1166, Toronto, Canada. James, David A., Clifford, J., Lachance, M., and Remski, J., Article. “A Constructive Approach to the Singular Value Decomposition and Symmetric Schur Factorization,” The American Mathematical Monthly, Vol. 112, No. 4 (2005), pp. 358-363. Krebs, A. S., Article. “Studying Students‟ Reasoning in Writing Generalizations,” Mathematics Teaching in the Middle School. (2005), 10(6), pp. 284-287. Lachance, Michael A., Clifford, J., James, D., and Remski, J., Article. “A Constructive Approach to Singular Value Decomposition and Symmetric Schur Factorization,” The American Mathematical Monthly, Vol. 112, No. 4 (2005), pp. 358-363. McKenna, Timothy E., Published. Pre-calculus Power Point Slides. Approximately 10,000 Power Point Slides were developed, edited, and published by Thomson Publishing, parent company of Brooks/Cole Publishing Company, in the Fall of 2004 in conjunction with the 6th edition of Precalculus, A Problems Oriented Approach by David Cohen. These will be part of the ancillary materials that accompany the text. The University of Michigan-Dearborn, 2004. ____________, Published. Pre-calculus Power Point Slides. Approximately 2,000 Power Point Slides were developed, edited, and published by Thomson Publishing, parent company of Brooks/Cole Publishing Company, in the Fall of 2005 in conjunction with the 6th edition of Precalculus, A Unit Circle Approach by David Cohen. These will be part of the ancillary materials that accompany the text. The University of Michigan-Dearborn, 2005. Remski, Joan C., Clifford, J., Lachance, M., and James, D., Article. “A Constructive Approach to the Singular Value Decomposition and Symmetric Schur Factorization,” The American Mathematical Monthly, Vol. 112, No. 4 (2005), pp. 358-363. ____________, Article. “The Transport Equation: An Application of Directional Derivatives,” Journal of Online Mathematics and Applications, Vol. 4, July 2004. Retrieved May 27, 2005 from http://www.joma.org/mathDL/4/?pa=content&sa=viewDocument&nodeId=350 Rubenstein, Rheta N., Beckmann, C., and Thompson, D., Book. Instructor‟s Resources for Teaching and Learning Middle Grades Mathematics. Emeryville, CA: Key College Publishing, 2004. Zhao, Jennifer J., Kang, N., Fuqian, Y., and Zhang, J., Article. “A Two Level Finite Difference Scheme for One Dimensional Pennes‟ Bioheat Equation,” accepted for publication by Applied Mathematics and Computation.

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OTHER PROFESSIONAL ACTIVITIES Brown, James Ward and Churchill, R. V., Book. “Fourier Series and Boundary Value Problems,” 7th ed., The McGraw-Hill Companies, Inc., Boston. In Press. ____________ and Churchill, R. V., Solutions Manual. To accompany “Fourier Series and Boundary Value Problems,” 7th ed., The McGraw-Hill Companies, Inc., Boston. In Progress. Chidambaram, Rama, Presented. “Modeling Nonlinear TPT of a supply chain,” at the Complexity and Advanced Analytics Applied to Business Government and Public Policy symposium, The University of Michigan- Dearborn - MI, October 2004. ____________, Choi, Tsan-Ming (Jason), Li, D., and Yan, H., Reviewed. “Channel Coordination in Fashion Supply Chains with Members Having Mean-Variance Objectives,” OmegaInternational Journal of Management Science, December 2004. ____________, Attended. “2nd Annual Conversations Among Colleagues Conference,” at Michigan State University – MI, April 2005. ____________, Attended. “2005 Michigan Project Next Colloquium,” at Alma College – MI, April 2005. ____________, Presenting. “Application of Genetic Algorithms in Semiconductor Supply Chain Planning,” at the 2005 International Conference on Algorithmic Mathematics and Computer Science, Las Vegas – NV, June 2005. Clifford, John H., Invited Talk. “Commutator of a Composition Operator on the Hardy Space,” Analysis Seminar, The University of Michigan, November 2004. Fakler, Robert A., Article. “Are Polar Equations for Conics Really Useful?” submitted to the AMATYC Journal. Fink, John F., Article. “Wiener Polynomials for Recursively Defined Trees,” submitted to Congresses Numerantium. ____________, Article. “Different Shades of Gray: (n,m)-Gray codes and quasi-cubes,” submitted to the American Mathematical Monthly. ____________, Talk. “Weiner Polynomials for Recursively Defined Root Trees,” at the ThirtySixth Southeastern International Conference on Combinatorics, Graph Theory, and Computing held at Florida International University in Boca Raton, FL, March 2005. ____________, Attended. MIGHTY XXXIX, Midwest Graph Theory Conference at Ball State University, November 2004. ____________, Refereed. "Some bounds on the p-domination number in trees" by M. Blidia, M. Chellali, and L. Volkmann for the journal Discrete Mathematics, June 2005.

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Flowers, Judith M., Krebs, A., and Rubenstein, R. Problems to Deepen Teachers’ Mathematical Understanding: Examples in Multiplication. Teaching Children Mathematics (In Press). ____________, Participated. In the Summer Institute sponsored by the Center for Proficiency in Teaching Mathematics at the University of Michigan-Ann Arbor, June 5-12, 2004. ____________, Krebs, A., and Rubenstein, R., Talk. “A Reasoning and Problem Solving-based Course in Mathematics for Elementary Teachers: A Snapshot.” Michigan Council of Teachers of Mathematics 55th Annual Conference, Detroit, October 2004. ____________, Grant, T., Lo, J. J., Invited Talk. “Developing Mathematical Justification: The Case of Prospective Elementary School Teachers.” Twenty-sixth International Conference for the Psychology of Mathematics Education, Toronto, Canada, 2004. ____________, Krebs, A., Rubenstein, R., Invited Talk. “Problems to Deepen the Mathematical Understanding of Preservice Elementary Teachers.” Presentation at Association of Mathematics Teacher Educators, Dallas, TX, January 2005. ____________, Krebs, A., Rubenstein, R., Talk. “Problems to Deepen the Mathematical Understanding of Preservice Elementary Teachers.” Presentation at Conversations Among Colleagues, Lansing, MI, March 2005. ____________, Grant, T., and Lo, J. J., Invited Talk. “Prospective Elementary Teachers‟ Efforts to Develop and Justify Computation Procedures.” NCTM Research Pre-session, Anaheim, CA, April 2004. ____________, and Rubenstein, R., Invited Talk. “A Reasoning and Problem Solving-based Curriculum for Elementary Mathematics Teachers: Visions and Perspectives.” Presentation at International Commission on Mathematical Instruction (ICMI). The Fifteenth ICMI Study: The Professional Education and Development of Teachers of Mathematics, San Paulo, Brazil, May 2005. ____________, Session Facilitator. The Mathematical Knowledge for Teaching (K-8) Conference, MSRI, Pacific Grove, CA, May 2005. Gillespie, John A., Attended. The Joint Statistical Meetings in Toronto, Canada, August 2004. ____________, Attended. The symposium on “Complexity and Advanced Analytics,” on the UM-Dearborn Campus on Saturday, October 23, 2004. ____________, Attended. “Michigan Undergraduate Mathematics Conference,” Saturday, October 30, 2004. Student Greg Suliz carpooled with me. ____________, Attended. “Conversations Among Colleagues Conference,” on the Michigan State University campus on March 19, 2005. ____________, Attended. Short course on “Mixed Models, Longitudinal and Incomplete Data,” on UM-Ann Arbor campus on March 25, 2005. Höft, Margret H., In Progress. Work on an article on Division Triangles.

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____________, Presented. Colloquium Lecture: “Division Triangles,” UMD, April 2005. ____________, Attended. Mathematical Association of America Michigan Section Spring Meeting, Alma College, April 2005. James, David A., In Progress. “A Mathematical Analysis of European Folk Dress.” ____________, To be submitted within a week. “Galois Field Hockey”, to Math Horizons. ____________, Talk. “Wolf/Moose Populations on Isle Royale: Mathematical Modeling Simulations,” UM-Dearborn, Discover Dearborn, October 2004. ____________, Attended. SIAM Meeting on “Complexity and Advanced Analytics,” UMDearborn, October 2004. Kaller, Eileen L., Krebs, A. S., Article. “Using Nested Lessons in a Mathematics Methods Class for Elementary Teachers.” In preparation for Teaching Children Mathematics. ____________, Presented. “Good, Rich, Mathematical Problems That Cross Grade Levels,” Michigan Council of Teachers of Mathematics Conference, Detroit, MI, October 30, 2005. ____________, Attended. Association of Mathematics Teacher Educators Conference, Dallas, TX, January 28-29, 2005. ____________, Attended. Michigan Council of Teachers of Mathematics Annual Conference, Detroit, MI, October 29-30, 2004. ____________, Attended. “Conversation Among Colleagues,” Michigan Mathematics Teacher Educators Conference, E. Lansing, MI, March 19, 2005. ____________, Attended. Department Conversations Among Colleagues presentations by Ed Brown and Margret Höft. ____________, Attended. Mathematics Teacher Education Study Group, University of Michigan-Ann Arbor, September 17, 2004. ____________, Member. Mathematics Association of America. ____________, Member. National Council of Teachers of Mathematics. ____________, Member. Association of Teacher Educators. ____________, Member. Mathematics Teaching Study Group. Krebs, Angela S., Article. “Analyzing Student Work as a Professional Development Activity.” Accepted by School Science and Mathematics. ____________, Flowers, J., and Rubenstein, R., Article. “Problems to deepen teachers‟ mathematical understanding: Examples in Multiplication.” Accepted by Teaching Children Mathematics.

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____________ and Kaller, E., Article. “Using Nested Lessons in a Mathematics Methods Class for Elementary Teachers.” In preparation for Teaching Children Mathematics. ____________, Article. “A Case Study: Reasoning and Justification in a Course in Mathematics for Elementary Teachers.” In preparation for School Science and Mathematics. ____________, Burgis, K., and Hartweg, K., Article. “Long-distance lesson study: „Making boxes‟ an Elementary Geometry Lesson for a Mathematics Education Methods Course.” In preparation for FOCUS-On Learning Problems in Mathematics. ____________, Flowers, J., and Rubenstein, R., Talk. “A Reasoning and Problem-based Mathematics Curriculum for Elementary Teachers.” Conversations Among Colleagues Conference. Collaborating to Improve the Mathematical Education of Our Students. East Lansing, MI, March 2005. ____________, Burgis, K., and Hartweg, K., Talk. “Long-Distance Lesson Study: Making Boxes.” Research Council on Mathematics Learning Annual Meeting. Little Rock, AR, February 2005. ____________, Flowers, J., and Rubenstein, R., Talk. “Students‟ Geometric Reasoning in a Content Courses for Elementary Teachers.” Association of Mathematics Teacher Educators Annual Meeting. Dallas, TX, January 2005. ____________ and Flowers, J., Talk. “A Reasoning and Problem Solving-Based Course in Mathematics for Elementary Teachers: A Snapshot.” Michigan Association of Mathematics Teacher Education. Detroit, MI, October 2004. ____________, Participant. Center for the Study of Mathematics Curriculum. Novi, MI, Summer 2004. ____________, Participant. Center for the Proficiency of Teaching Mathematics Summer Institute, Ann Arbor, MI, June 2004. ____________, Participant. Balanced Assessment in Mathematics Workshop: For Mathematics Leaders Grades 3-9, Novi, MI, June 2004. Lachance, Michael A., Presented. “A Constructive Approach to Singular Value Decomposition,” Constructive Functions Tech 2004, November 2004. ____________, Presented. “The Images of Circles Under Matrix Mappings,” UM-Dearborn Mathematics Colloquium Series, February 2005. ____________, Attended. Constructive Functions Tech 2004, Atlanta, GA, November 2004. ____________, Attended. Conversation Among Colleagues, Michigan State University, East Lansing, MI, March 2005. ____________, Refereed. “A framework for Validation of Computer Models,” by James C. Cavendish, for SIAM Conference Proceedings, November 2004. ____________, Refereed. “On Geometric Interpolation of Parametric Surfaces,” by Knut Morken, for CAGD, October 2004.

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____________, Refereed. “Orthogonal C 1 and C 2 Piecewise Cubic Interpolation,” by A.A. Ball, for CAGD, December 2004. ____________, Reviewed. “Sequences with Equi-Distributed Extreme Points in Uniform Polynomial Approximation,” by Hans-Peter Blatt, Rene Grothman, Ralitza Kovachevapa, for Mathematical Reviews, January 2005. ____________, Reviewed. “Markoff-type Inequalities in Weighted L 2-Norms,” by Ioan Popa, for Mathematical Reviews, February 2004. ____________, Reviewed. “Inequalities of Rafalson Type for Algebraic Polynomials,” by K.H. Kwon, D.W. Lee, for Mathematical Reviews, April 2005. ____________, Reviewed. “On a generalization of the Bernstein-Markov Inequality,” by Erdelyi and J. Szabados, for Mathematical Reviews, January 2005. ____________, Chair. Departmental Colloquium Series, 2004-present. ____________, Chair. Department's Scholarship Committee Massey, Frank J., Manuscript. “Dynamical Systems.” 52 pages. ____________, Manuscript. “Stochastic Processes.” 80 pages. ____________, Attended. Complexity and Advanced Analytics Applied to Business, Government, and Public Policy Conference, University of Michigan – Dearborn, October 23, 2004. McKenna, Timothy E., In Progress. Narrated Power Point Presentations for Intermediate Algebra on CD-ROM. To be published at The University of Michigan-Dearborn. 2004. ____________, In Progress. Essential Geometry. A textbook manuscript on the geometry skills necessary to algebra classes and student teachers of algebra. To be published by AddisonWesley. 2004. ____________, In Progress. “Quasi-Inner Products and Non-Logarithmic Solutions of Ordinary Differential Equations About Regular Singular Points.” ____________, Creative Works Written and Revised. Precalculus: A Light and Lively Course. Notes to accompany Power Point Slides were developed and edited. Use of these notes is being negotiated with Thomson Publishing. The University of Michigan-Dearborn, 2004-2005. ____________, Creative Works Written and Revised. Calculus: A Light and Lively Course. Notes and approximately 7,500 Power Point Slides were developed and edited for Calculus I. The University of Michigan-Dearborn, 2004-2005. ____________, Revised. Conceptual Mathematics Class Notes, 2nd Edition and Power Point Slides. 2004.

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____________ and Gillespie, J., General Education Assessment Committee. I developed criteria and assessment question for Math 131 for the GEAC. Implementation has already commenced with Winter 2005 semester. I have met and contributed to the committee and will be going to a conference in the coming year. 2005. ____________, Math 105 Review Committee. I participated in the Math 105 Precalculus Review Committee and Assessment. ____________, Math 115 Review Committee. I participated in the Math 115 Calculus Review Committee and Assessment. ____________, Consultation. Andrea Lazarski of Dearborn Center for Mathematics, Science, and Technology. I met with Ms. Lazarski of their Mathematics Department to discuss ways in which their precalculus mathematics course could be upgraded to be made more equivalent to UMD‟s Precalculus Mathematics course, Math 105. Fall 2004. ____________, Member. Masters Advisory Committee for Christine Chmielewski at Indiana University South Bend for SPEA Master‟s Thesis. Ongoing advising and work. 2004. ____________, Attended. International Online Conference on Teaching Online Higher Education. This was a completely “virtual” conference on the development, pedagogy, and obstacles in Distance Learning. Indiana University – Purdue. November 2004. ____________, Attended. Several presentations by various publishers of Internet and mathematics tutorials in the Mathematics Learning Center. ____________, Workshop. Two-day on-site workshops at General Motors Plants and Learning facilities on the TI-86 Graphing Calculator Materials. General Motors Technology Center, Warren, MI. August 2004. ____________, Board Member. Commission for Women. The University of Michigan – Dearborn, 2004. ____________, Chaired. Susan B. Anthony Award Selection Committee for both the Campus and Community Awards. Commission for Women at The University of MichiganDearborn. 2004-2005. ____________, Attended. Convocation, September 7, 2004. ____________, Represented. Department of Mathematics and Statistics at campus open house, September 19, 2004. ____________, Participated. LEO Bargaining Team, 2004. ____________, Member. LEO Constitution Committee, 2004. ____________, Presented. LEO presentations on the status of negotiations and the articles of the contract at several LEO union meetings, 2004. Morash, Ronald P., Book. “Bridge to Abstract Mathematics: Mathematical Proof and Structures,” 3rd ed., in preparation.

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____________, Book. “Conceptual Linear Algebra,” revisions to manuscript in preparation. Papp, Frank J., Reviewed. Ueno, Kenji-Shiga, Koji-Morita, Shigeyuki, A Mathematical Gift. II., American Mathematical Society, Providence, RI, 2004, 128 pp, ISBN 0-8218-3283-2 for Mathematical Reviews. ____________, Reviewed. Losonczi, László, “Equality of Two Variable Cauchy Mean Values,” Aequeationes Mathematicae, 65 #1-2 (2003), 61-81, for Mathematical Reviews. ____________, Reviewed. Elqorachi, Elhoucien-Akkouchi, Mohamed, “The Superstability of the Generalized d‟Alembert Functional Equation,” Georgian Math. Journal, 10 #3 (2003), 503-508, for Zentralblatt Für Mathematik. ____________, Reviewed. Robson, Eleanor, “Tables and tabular formatting in Sumer, Babylonia, and Assyria, 2500 BCE-50 CE,” from: Campbell-Kelly, Martin (editor) et al., The History of Mathematical Tables. From Sumer to Spreadsheets., Oxford University Press, Oxford, 2003, pp 19-48, ISBN 0-19-850841-7, for Zentralblatt Für Mathematik. Remski, Joan C., Purcell, J., and Shillor, M., Article. “The Dynamics of a Spring in Contact with a Slider,” In Progress. ____________, Attended. SIAM Great Lakes Spring Meeting. Michigan State University, April 2005. ____________, Attended. Conference on Complexity and Advanced Analytics. University of Michigan-Dearborn, October 2004. Rubenstein, Rheta N., Flowers, J., and Krebs, A., Article. “Problems to Deepen Teachers‟ Mathematical Understanding: Examples in Multiplication.” Accepted by Teaching Children Mathematics. ____________ and Schwartz, R., Article (non-refereed). Proof: On the other hand: Spanning five to nine. The Right Angle. February 2005. ____________, Flowers, J., Grant, T., and Kline, K., Invited Demonstration. A Reasoning and Problem Solving-based Curriculum for Elementary Mathematics Teachers: Visions and Perspectives. International Conference on Mathematics Instruction, Sao Paolo, Brazil, June 2005. ____________, Attended. Mathematical Sciences Research Institute‟s Mathematical Knowledge for Teaching Conference. Monterey, CA, May 2005. ____________, Attended. The Chicago Lesson Study Group: Public Research Lessons and Symposium. May 2005. ____________, Attended. Mathematics Education Leadership Conference. Ann Arbor, MI, May 2005.

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____________, Presented. Mathematics Vocabulary: Potential Pitfalls and Instructional Strategies. National Council of Teachers of Mathematics 2005 Annual Meeting and Exposition, Anaheim, CA, April 2005. ____________, Arbaugh, F., Boerst, T., Hembree, D., Sleep, L., and Wilson, P., Panel. Building Professional Communities of Mathematics Teacher Developers. Research Pre-session of the National Council of Teachers of Mathematics 2005 Annual Meeting and Exposition, Anaheim, CA, April 2005. ____________, Flowers, J., and Krebs, A., Attended. A Reasoning and Problem Solving-based Course in Mathematics for Elementary Teachers, Michigan Mathematics Teacher Educators‟ Conversations Among Colleagues Conference, East Lansing, MI, March 2005. ____________, Attended. Mathematical Knowledge for Teaching Measures Workshop. Ann Arbor, MI, March 2005. ____________, Flowers, J., Krebs, A., Attended. Problems to Deepen the Mathematical Understanding of Preservice Elementary Teachers. Association of Mathematics Teacher Educators Annual Conference, Houston, TX, January 2005. ____________, Invited Book Review for the Mathematics Teacher. Dialogue and Learning in Mathematics Education: Intention, Reflection, and Critique, Hello Alro and Ole Skovsmose, 2003, Kluwer Academic Publisher. Submitted January, 2005. ____________, Flowers, J., Krebs, A., Presented. A Reasoning and Problem Solving-based Course in Mathematics for Elementary Teachers: A Snapshot, Michigan Council of Teachers of Mathematics 55th Annual Conference, Detroit, MI, October 2004. ____________, Presented. Learning Mathematical Vocabulary: Challenges and Instructional Strategies, Michigan Council of Teachers of Mathematics 55th Annual Conference. Detroit, MI, October 2004. ____________, Member. Mathematics Teacher Education Study Group. Ann Arbor, MI. Santiz, Helen R., Member. National Council for Teachers of Mathematics. ____________, Member. Benjamin Banneker Association. Snabb, Thomas E., Consultant. Statistical methods in industry. ____________, Workshop. Robust Design using materials that an industry colleague and I developed. ____________, Participated. Large-scale industrial experimental study. Strowe, Andrew M., Member. American Mathematical Society. ____________, Designed. Computer representations of surfaces and curves for Calculus II & III. ____________, Editor. Calculus sequence lab packs.

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____________, Reviewed. Calculus Textbooks. ____________, Reviewed. Linear Algebra Textbooks. Wray-McAfee, Sandra, Member. Mathematical Association of America. ____________, Member. National Council for Teachers of Mathematics. ____________, Member. Research Association for Minority Professors. ____________, Attended. 2005 Equity in the Classroom Conference hosted by Western Michigan University, April 3-5, and served as a session moderator. Zhao, Jennifer J., Refereed. “A High-Order Compact ADI Method for Solving Three Dimensional Unsteady Convection-Diffusion Problems,” referred for Numerical Methods for PDEs. ____________, Refereed. “Numerical Solution to a one-dimensional…,” referred for Numerical Methods for PDEs. ____________, Refereed. “A High-Order Compact Scheme…,” referred for Applied Numerical Analysis and Computational Mathematics (ANACM). ____________, Reviewed. “The Role of Chemistry…,” reviewed for Kentucky Science and Engineering Foundation. ____________, Reviewed. “Differential Equations,” reviewed for Addison-Wesley. ____________, Reviewed. “Partial Differential Equations …,” reviewed for McGraw-Hill. ____________, Reviewed. “On the numerical …,” for Mathematical Reviews. ____________, Reviewed. “A Nonstandard Finite …,” for Mathematical Reviews. ____________, Co-Organizer. SIAM Great Lakes Section 2005 sprint meeting, April 16, 2005, MSU. ____________, Member. Rackham Fellowship Review Board, UM Rackham Graduate School, Fall 2004.

(V) Service Contributions The faculty of the Department participated in variety of service activities that far exceed the committee assignments of faculty that are standard in the department, college, and campus. Following is an incomplete list of such activities, in no particular order: As in previous years, John Gillespie served as a judge of the statistics projects at the Washtenaw County Science Fair on a team with fellow statistics professionals. John Clifford and Barbara Matthei participated in the grading of the second part of the Michigan Mathematics Prize Competition (a competition for high school students), and John Clifford also served on the Michigan Chapter of the Mathematical Association of America exam writing committee. Michael Lachance was on the

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organizing team for the Complexity and Advanced Analytics Conference at UM-Dearborn, October 2004, and helped coordinate this event on campus. Rheta Rubenstein is general editor for the National Council of Teachers of Mathematics yearbooks 2008-2010, a duty that began a year ago. Jennifer Zhao is Vice President of the Great Lakes Chapter of the Society of Industrial and Applied Mathematics (SIAM). A list of individual faculty service contributions is attached as Appendix A. (VI) Grants and Contracts (New in 2004-2005) Chidambaram, Rama, “Faculty Summer Research Grant,” Research and Sponsored programs office, the University of Michigan – Dearborn. Funded $6,000 as summer salary. March 2005. ____________, “Supplemental Professional Development Fund,” from The University of Michigan – Dearborn Commission for women. Funded $300 for professional membership and conferences. October 2004. Clifford, John H., University of Michigan – Dearborn student summer research grant for Gregory Suliz. Funded $500 for travel and $2500 for summer 2005. James, David, Mathematical Analysis of the Folk Costumes of various European Cultures ($6,000 research grant from UM-Dearborn, awarded, July-December 2005). ____________, Mathematical Analysis of European Folk Costumes, National Geographic Society, $18,000, submitted May 2005. Lachance, Michael, Solicited and received $2,000 from the Chancellor‟s office to support interdisciplinary symposium, “Complexity and Advanced Analytics Applied to Business, Government, and Public Policy,” October 23, 2004. Zhao, Jennifer, AMS-IMS-SIAM Summer Research Conferences fund to attend summer workshop. $552 funded, April 2005. ____________, Department ISD fund to supplement the AMS-IMS-SIAM fund. $498 funded, May 2005. (Ongoing) Höft, Margret, Ongoing: Project Director for National Science Foundation Grant “Mathematics and Engineering Scholarships to Promote Full Time Enrollment,” fund January 2002December 2006, $400,000. Flowers, Judith and Rubenstein, R., “Understanding Mathematics Deeply for Teaching: A Problem and Reasoning-based Curriculum for Elementary Mathematics Teachers.” CCLI-A&I National Science Foundation grant, 2003-2006. (Contracts)

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McKenna, Timothy, Contract Received. $2,000 by General Motors for conducting on-site workshops on the TI-86 Graphing Calculator. August 2004.

(VII) Program Assessment Activity Direct as well as indirect assessment relating to introductory level service classes and classes for the mathematics concentration has been ongoing for many years. For the mathematics concentration, the Department faculty formulated and approved general departmental learning goals during 1994 and 1995. For purposes of tailoring the application of learning goals to courses in an appropriate fashion, the faculty classified the Department‟s course offerings into seven categories: mathematics concentration program, mathematics education, applied statistics, precalculus mathematics (including remedial mathematics), liberal arts mathematics, computer mathematics, and computational mathematics. During the academic year 2004-2005, the Department faculty continued to work on assessment in the calculus sequence and in pre-calculus courses. The procedures have now been used for five years and are well established. The data have been collected and analyzed and are being discussed by the faculty to explore possibilities for improving the courses. An internal review of the course offerings in applied statistics led to assessment procedures that are similar to the ones used in calculus. The Mathematics Education faculty is continuing the multi-year process of revising the mathematics curriculum for elementary education majors. The Department submitted an extensive Assessment Report on undergraduate assessment to the Assessment Coordinating Council (ACC) on December 3, 2004 and received a response from Associate Provost Charlotte Otto on behalf of the Assessment Coordinating Council on April 1, 2005. This response is attached as Appendix B to this report. The concluding remark of the response is as follows: “ACC, in recognition of consistent good assessment practices conducted by Mathematics (sic) requests only a status report of on-going assessment efforts on December 2, 2005. The next full assessment report, which should cover the assessment efforts conducted over the academic years 2004-2005 and 2005-2006 is due December 1, 2006.” (VIII) Summary Major long-term goals of the Department include the continued growing of the Master‟s degree program in Applied and Computational Mathematics, the rebuilding of the Mathematics Education discipline in light of the retirement plans of the senior faculty, creating a leadership structure of the Center for Mathematics Education that nurtures its future viability, and the continued success of the undergraduate mathematics program with respect to numbers of concentrators and the positive experience we provide such students on campus. There is no more important goal than this last one. The Department has been successful in making progress toward these goals. The Master's degree program started in Fall 2000 with four students, in succeeding fall terms we had seven in 2001, nine in 2002, twelve in 2003, twelve in 2004, and we anticipate fifteen in Fall 2005. Eight students have graduated from the program: one in 2002-2003, two in 2003-2004, and five in 2004-2005. Graduate level courses draw from our own graduate students, engineering graduate students, and some undergraduate students. A new graduate course, Discrete Optimization, was developed and successfully offered in the Fall of 2004. Any ideas in how to grow this program would be appreciated.

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A search was conducted to hire an assistant/associate professor level faculty in Mathematics Education to begin the Fall 2005. Although three candidates were brought to campus and one offered the position, no one was hired and the search remains open. We anticipate advertising much earlier for this and a second position at the assistant professor level and we are optimistic for a positive search outcome in the coming year. The Mathematics Education faculty has had a very productive year, operating a National Science Foundation grant for the development of teaching materials in mathematics for students in elementary education. There were seven graduates receiving a M.A. in Education with a concentration in middle school mathematics education. These are the first graduates of this program where Professor Rubenstein is the advisor. The Mathematics Education faculty support the Center for Mathematics Education, several curriculum development projects, community outreach projects, grant activities, and the still evolving specialty in middle school mathematics under the Master‟s in Education degree. The Center for Mathematics Education, under the direction of Roger Verhey, offers outreach programs for in-service teachers in middle schools at five different locations in southeast Michigan in 2004-2005: three course for the Detroit Public Schools; five courses for Oakland Schools; two for Taylor Public Schools; two for Washtenaw County ISD; seven for Wayne County RESA. The Center hired Adele Sobania at a 50% level as Associate Director to help with these activities. This position is funded out of center funds. This year significant progress was made in cooperation between the Center and the Department office regarding hiring of instructors and meeting deadlines. The success of the undergraduate mathematics program has been discussed in III.B. We believe that the various ways we have of connecting with students helps to maintain the number of mathematics majors and produces a higher quality graduate. A. Conditions that are anticipated to prevail in future year, and changes that seem appropriate for adjustment to those conditions: 

Continued need in Mathematics Education, even if the two searches for tenure track faculty are successful. Good hires will be heavily involved in grants and possibly in running the CME and this will take then away from teaching. Mathematics Education will likely continue to be one of the most significant and progressive activities in the college through training and educating future teachers in inquiry-based instruction and through the activities of the CME in training and educating in-service middle school teachers in courses and workshops that are in response to the “No Child Left Behind” initiatives of the federal government.



Leadership in the CME is currently based on a single person. Finding new leadership is a challenge. It is not clear that there is a solution to this problem.



Modest numbers of students in the graduate program in Applied and Computational Mathematics may compromise our ability to run the courses that we would like to run.



Leadership at the department level may be a problem. The Department Chair‟s position is not an attractive one and it is a challenge to the Dean and especially to upper level administration to solve the problem of making the job more enticing. Teaching two courses rather than the current three would certainly help.

B. Needs 

A number of retirements are anticipated in the coming years due to the aging of the Department and replacement will be necessary. Finding the right people will be the challenge. Because of the unusually large number of lecturers in the Department, (due to an historical oddity and not due to a plan), an opportunity for converting those lines to tenure-track lines should be taken.

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APPENDIX A Faculty Service Contributions (Compiled by Andrew Stephenson from faculty annual reports) Brown, James W., Contributed. Honoring Our Own Exhibit at Mardigian Library. ____________, Member. Department Grievance Committee. ____________, Attended. Open House on Sept. 19, 2004. Chidambaram, Rama, Faculty Advisor. Math Honor Society, Pi Mu Epsilon. ____________, Departmental Secretary. Fall 2004 Department Meetings. ____________, Editor. Fall 2004 Department Advising Newsletter. ____________, Representative. Department in the University Fair, Fall 2004. ____________, Representative. Department in the Campus Open House, Fall 2004. ____________, Volunteer. CASL Welcome Station, Fall 2004. ____________, Participant. Freshman Convocation, Fall 2004. ____________, Participant. Commencement Ceremony, Fall 2004. ____________, Member. Information Technology Advisory Committee (ITAC) ____________, Chair. Conference session at “The 2005 International Conference on Information and Knowledge Engineering + Data Fusion,” Las Vegas – NV. Clifford, John, Member. The Mathematics Education Search Committee. Fall 2004 and Winter 2005. ____________, Coordinator. Math 115 gateway exams. Fall 2002 – present. ____________, Member. Exam Writing Committee, Michigan section of the Mathematical Association of America, 2002-2004. ____________, Michigan Math Prize Competition (MMPC) grading session. Delta College, Saginaw, MI, January 2005. ____________, Co-Faculty Advisor. The Putnam Exam, December 2000-2005. ____________, Member. The organizational committee of the Michigan Undergraduate Mathematics Conference, Grand Valley State University, Grand Rapids, MI, October 2004. ____________, Member. The organizational committee of the Michigan Project NexT session, Alma College, Alma, MI, May 2000-2005.

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Fakler, Robert, Chair. Adjunct Faculty Evaluation Committee. ____________, Member. Precalculus Assessment Committee. ____________, Member. Department Grievance Committee. ____________, Member. Calculus Committee. ____________, Member. Advisory Committee to the Director of Calculus Computing. ____________, Course Chair. Math 080/090. ____________, Member. Math 217 Textbook Committee. Fink, John, Member. CASL Curriculum Committee, Fall 2004. ____________, Refereed. “Orientable convexity, geodetic and hull numbers in graphs,” by Alastair Farrugia for the journal Discrete Applied Mathematics. (July 2004) ____________, Refereed. “Geodesic Convexity and Cartesian Products in Graphs,” by Tao Jiang, Ignacio Pelayo, and Dan Pritikin for the journal Networks. (January 2005) ____________, Session Chair. Thirty-Sixth Southeastern International Conference on Combinatorics, Graph Theory, and Computing held at Florida International University in Boca Raton, FL, March 2005. Flowers, Judith, Member. Doctoral dissertation committee, Alison Castro, doctoral candidate in mathematics education ,University of Michigan. ____________, Member. Department Executive Committee. ____________, Member. Mathematics Learning Center Advisory Committee, University of Michigan-Dearborn. ____________, Member. Mathematics Education Committee. ____________, Coordinator. Detroit Public Schools Mathematics Education Initiative. ____________, Participant. Mathematics Educators‟ Study Group, University of Michigan-Ann Arbor. ____________, Member. Henry Ford College Preservice Elementary Education Advisory Board. Gillespie, John, Produced. Two department Advising Newsletters. The fall newsletter was produced in collaboration with J. Remski and R. Chidambaram. ____________, Organized. Annual fall Advising Session and Pizza Party on November 9, 2005. ____________, Organized. January 2005 mathematical sciences career event Career Paths in the Mathematical Sciences.

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____________, Organized. With the department staff the Pi Day festivities on March 14, 2005. ____________, Coordinator. Annual student awards event that occurred on April 18, 2005. Höft, Margret, Member. Department Executive Committee, (ex officio, 2004-2007). ____________, Member. Calculus Assessment Committee, Fall 2004. ____________, Member. College Executive Committee, 2004-2007. ____________, Member. Ad Hoc Grievance Committee, Fall 2004. ____________, Faculty Associate. MITTEN Project, Fall 2004. ____________, Attended. Chancellor‟s Strategic Vision Retreats, various meetings. ____________, Member. Selection committee for William E. Stirton Professorship, Summer 2004. ____________, Auditing Team for Michigan Mathematics Price Competition, Mathematical Association of America, Michigan Section. James, David, Member. Department Executive Committee. ____________, Member. Masters in Applied and Computational Mathematics Committee. ____________, Member. MALS Committee (Master of Arts in Liberal Studies) ____________, Member. Honors Program Advisory Committee. ____________, Substitute. Two meetings of the CASL Executive Committee, one of which was a promotion and tenure meeting. ____________, Member. Signage Committee. ____________, Judge. High School Mathematics Competition, Center for Science and Mathematics, Dearborn School System, April 2005. Kaller, Eileen, Presented. Mathematics Methods Student Seminars: Two half-day seminars cotaught by A. Krebs and E. Kaller to help transfer students align their understanding of number and operation with the level of understanding needed for Math Methods, January 21, February 19. ____________, Coordinator. Mathematics Education Tutors: recruited, scheduled, supervised and provided orientation meeting and handbook for tutors each term. ____________, Order books each term for all sections of Math 387 and EDD 452. ____________, Representative. Freshman Convocation, September 2004. ____________, Representative. Commencement, April 2005.

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____________, Program Advisor. Elementary Mathematics Education Students: I advised 20 students in my office and more by phone and email, signed petitions as needed, and approved four Student Teaching Applications after reviewing transcripts. Kiyak, James, Organized. Materials for the A.B.E.T. project. ____________, Submitted. Problems for the math 116 and 105 assessment projects. ____________, Facilitate. Calculator workshop for one hour each week. The purpose of it is to help students become familiar with their calculators by working course related problems. ____________, Advisor. Started working with directed study student in Fall 2004. The course instruction involves working with special relativity and static models in general relativity. Krebs, Angela, Member. Mathematics Education Search Committee. ____________, Member. Mathematics Education Committee. ____________, Advisor. Elementary Education Students with Mathematics Majors. ____________, Member. Mathematics Department Adjunct Faculty Review Committee. ____________, Member. Undergraduate Curriculum and Degree Committee. ____________, Secretary/Treasurer. Michigan Association Mathematics Teacher Educators (MMTE). ____________, Member. Association of Mathematics Teacher Educators (AMTE). ____________, Member. National Council of Teachers of Mathematics (NCTM). ____________, Member. School Science and Mathematics Association (SSMA). ____________, Member. Michigan Council of Teachers of Mathematics (MCTM). ____________, Member. Project Kaleidoscope – Faculty of the 21st Century (PKAL). Lachance, Michael, Member. Departmental Executive Committee, 2002-present. ____________, Member. Masters Program Committee, appointed 2005. ____________, Faculty Coordinator. First Year Seminars 2004-2005. ____________, Member. Symposium Organizing Committee, “Complexity and Advanced Analytics,” UM-Dearborn, Dearborn, October 2004. Lin, Paul, Member. Statistics Committee. ____________, Chair. Committee of Equipment. ____________, Member. Committee for the Economic Status of the Faculty.

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Massey, Frank, Program Director. Master of Science Degree Program in Applied and Computational Mathematics. ____________, Co-Coordinator. Putnam Mathematical Competition. ____________, Writing. Letters of recommendation for several students. ____________, Member. Committee to Review the Non-tenured Professors. Matthei, Barbara, Co-Chair. Calculus Assessment Committee. ____________, Member. Precalculus Assessment Committee. ____________, Member. Calculus Committee. ____________, Coordinate. All classes, demonstrations, placement testing, and seminars in second floor classrooms. ____________, Director. Calculus Computer Laboratories. ____________, Negotiated. Reduction in cost of the Calculus textbook. ____________, Arranged. The sale of Mathematica CD to our students for $5. ____________, Revised. Labs for Calculus I, II, and III course packs. ____________, Writing. Several letters of recommendation for current and past students. ____________, Initiated. Discussions with the Dean of CASL regarding College credit given to high school students from the Dearborn Center for Math, Science, and Technology. ____________, Consultant. Lindheimer Astrophysical Research Center; Chicago, Illinois. ____________, Grader. Michigan Mathematics Prize Competition at Delta College; Bay City, Michigan in January 2005. McKenna, Timothy, Member. Calculus Assessment and Review Committee. ____________, Chair. Conceptual Mathematics Course, Math 131. ____________, Member. Text Selection Committee for Math 080/090. ____________, Participant. Prepared materials for the Annual Campus Open House. ____________, Attended. Annual Campus Open House. ____________, Member. Distance Learning Advisory Committee, CASL. ____________, Member. General Education Assessment Committee, University of Michigan – Dearborn. ____________, Attended. Freshman Convocation, September 2004.

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____________, Elected. On the Board of Directors for the Commission of Women. ____________, Chair. Susan B. Anthony Campus Award selection committee for the Commission for Women. ____________, Member. LEO Constitution Committee. ____________, Member. LEO Bargaining Committee. ____________, Member. LEO Bargaining Team. ____________, Member. Bookstore Committee Faculty Representative. ____________, Member. Mathematical Association of America. ____________, Member. National Council of Teachers of Mathematics. ____________, Member. National Association for Development Education. ____________, Member. Michigan Mathematical Association of Two Year Colleges. ____________, Member. Pi Mu Epsilon Mathematical Society. ____________, Member. Golden Key National Honor Society. Morash, Ronald, Participant. All meetings of both the Tenured Faculty and the Full Professor Review Committees during 2004-2005. ____________, Associate Dean. CASL, 2001-2005. ____________, Campus Representative. On follow-up negotiations with the LEO union, Winter and Summer I, 2005. Papp, Frank J., Member. Faculty Senate – CASL Member At-Large, 2003-2006. ____________, Member. CASL Curriculum Committee, 2005 winter and summer terms. ____________, Attended. UM-Dearborn Alumni Awards Ceremony to honor one of our alumni. ____________, Faculty Advisor. M.A.A. for UM-Dearborn Student Chapter, 1989-present. ____________, Representative. M.A.A. Michigan Section for Dearborn Campus, 1988-present. ____________, Liaison. M.A.A. for Mathematics Department, 1997-present. ____________, Consultant. Hungarian translations for Mathematical Reviews. ____________, Member. Department Committee of Tenured Professors. ____________, Member. Department Committee of Full Professors.

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____________, Organizer. M.A.A. Michigan Section Newsletter: gathering and preparation of UMD Mathematics Department news items several times during the academic year for inclusion in the newsletter. Remski, Joan, Program Advisor. Mathematics. ____________, Member. Masters Degree Admissions Committee. ____________, Member. Mathematics Scholarship Committee. ____________, Chair. Math 217 Textbook Search Committee. ____________, Advisor. Math Honor Society, Pi Mu Epsilon. ____________, Co-Editor. Advising Newsletter. ____________, Member. Academic Standards Committee. ____________, Chair. Campus Grants Committee. ____________, Organizer. Mini-symposium at the SIAM Conference on Mathematics for Industry. Detroit, MI, October 2005. Rubenstein, Rheta, Member. Executive Committee of the Department of Mathematics and Statistics. ____________, Coordinator. Middle Grades Mathematics Specialty for MA in Education. In this role I recruit and advise practicing teachers interested in either an elementary mathematics endorsements (for those without it) or leadership in mathematics education (for those with a mathematics endorsement). We have graduated seven students so far and have about two-dozen in various stages of the program. ____________, Coordinator. Fieldwork for Elementary Mathematics Methods Students (EDD 452). In this role I coordinate with EDD 452 instructors the creation of fieldwork teams (4 students each). I identify and communicate with fieldwork teachers. I coordinate the placements and address difficulties that may arise. Each term about 13-19 teams of students are placed in Detroit, Dearborn, Monroe, Plymouth, S. Redford, and other school districts. I collect feedback on the program and coordinate “thanks” to the fieldwork teachers. ____________, Member. Mathematics Education Committee. ____________, Member. SACUA Faculty Perspectives Page Editorial Panel (2003-2006). ____________, Attended. Chancellor‟s Retreat for Strategic Planning. April 2005. Provided follow-up ideas generated by the meeting. ____________, General Editor. NCTM yearbooks 2008-2010. This role has so far included analyzing NCTM publications and presenting information to NCTM‟s Educational Materials Committee (June 2004), selecting topic and issue editor for 2008 yearbook, identifying panelists for 2008 yearbook, meeting with panel (February 2005 Boston,

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MA), finalizing a call for articles for the 2008 yearbook, and meeting with EMC to identify topic and editor for 2009 yearbook (June 2005). ____________, Chair. Conversations among Colleagues 2nd Annual Conference, East Lansing, Mi, March 2005. This role included creating a program committee, planning site and use of space, planning schedule and foci, identifying and inviting speakers, overseeing production of program and Website, and evaluating the conference. ____________, Member. Program Planning Committee, Michigan Council of Teachers of Mathematics Fall Conference, Lansing, MI, October 2004. This role included identifying and inviting speakers for a strand focused on mathematics teacher education. ____________, Member. Executive Committee of Michigan Mathematics Teacher Educators. ____________, Reviewer. Teaching Children Mathematics, Mathematics Teaching in the Middle School, Mathematics Teacher. This role involves reading and critiquing one or two manuscripts per journal year. Santiz, Helen, Course Chair. Math 113/114 ____________, Faculty Advisor. For the mathematics placement exam. ____________, Faculty Advisor. For the Mathematics Lab. ____________, Member. Adjunct Review Committee. ____________, Member. Precalculus Assessment Committee. ____________, Member. Martin Luther King, Jr. Week ‟05 Celebration. ____________, Member. Student Non-Academic Code Hearing Board, since 1992. ____________, Member. General Education Committee. ____________, Attended. Community College Conference Snabb, Thomas, Member. Masters Degree Program Committee. ____________, Member. CASL Executive Committee. ____________, Member. Department Executive Committee, ex officio. ____________, Chair. Department Statistics Committee. ____________, Member. Faculty Senate on the Promotion and Tenure sub-committee. Wray-McAfee, Sandra, Course Chair. Math 104/105 through the end of the Winter Term on April 22, 2005. ____________, Chair. Department‟s Precalculus Committee for the fourth uniform assessment of both Math 104 and Math 105 in December 2004.

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____________, Member. Adjunct Mathematics Faculty Annual Review Committee in Winter 2005. ____________, Member. Sixteenth consecutive year on the CASL Board of General Academic Advisors. ____________, Advisor. Continued providing general academic advising to students enrolled in CASL, inclusive of all classifications and majors. ____________, Participant. 2004 Summer Orientation of first-time college matriculants and new transfer students. ____________, Coordinator. Served at the pleasure of the Provost as the UM-Dearborn Delegation Coordinator for the 2005 Equity in the Classroom Conference that was hosted by Western Michigan University in Kalamazoo, April 3-5. Being the campus delegation coordinator included my serving on the conference‟s statewide Planning Committee. ____________, Teaching. Mathematics during the 2004-05 academic year in the King/Chavez/Parks Saturday Enrichment Program, a community outreach service that UM-Dearborn provides to the Metropolitan Detroit high school students (and selected middle school students) through the Office for Academic Support and Outreach Services. ____________, Conducted. ACT preparatory workshops in mathematics during the 2004-05 academic year for Metropolitan Detroit eleventh- and twelfth-grade students through UM-Dearborn‟s Office for Academic Support and Outreach Services. Zhao, Jennifer, Vice Chair. University of Michigan-Dearborn Faculty Senate, 2004-2005 academic year. ____________, Chair. UM-Dearborn Faculty Senate Promotion and Tenure Committee, 20042005 academic year. ____________, Submitted. Report to UM-Dearborn Faculty Senate for the Promotion and Tenure Committee, May 2005. ____________, Representative. Barry Goldwater Scholarship, 2004-2007. ____________, Member. UM-Dearborn Budget Committee, 2004-2005 academic year. ____________, Member. CASL Full Professor Review Committee, Winter 2005. ____________, Member. Department Review Committees for Assistant and Associate Professors. ____________, Vice President. SIAM Great Lakes Section. ____________, Board Member. Chinese Association of Greater Detroit.

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APPENDIX B

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