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RESUME

EDUCATION

B.S.           Temple University                     1956
M.A.         University of Pennsylvania       1958
Ph.D.        University of Michigan             1962

PROFESSIONAL EXPERIENCE

Programmer, Burroughs Corporation                                   1956-58
Programmer, Willow Run Laboratory                                  1958-59
Instructor, University of Michigan                                        1960-62
Lecturer, University College of Sierra Leone                          1962-63
Lecturer, University of Ghana                                                 1963-64
Director of Computer Center, University of Ghana               1964
Assistant Professor, Tulane University                                    1964-68
Associate Professor, Tulane University                                   1968-69
Research Associate, McMaster University                              1969-70
Visiting Professor, Polish Academy of Sciences (Warsaw)    1970-72
Visiting Professor, University of Bonn (West Germany)      Summer, 1972
Professor, Clarkson University                                               1972-87
Visiting Professor, University of California, Berkeley           1985-86
Professor, Purdue University                                                 1987-96
Visiting Professor, University of New Hampshire                 Fall, 1993
Visiting Scientist, Education Development Center              1993-94
Professor, Georgia State University                                      1996-00
Visiting Professor, Kent State University                             2000-

FELLOWSHIPS

Teaching Fellowship, University of Pennsylvania 1956-57
Teaching Assistantship, University of Michigan 1959-60

AWARDS

Thesis was selected as co-winner of Somner B. Myers Award,
     University of Michigan, 1962.
Top 10 teachers in School of Science, Purdue, 1988.
Outstanding Undergraduate Teacher, School of Science, Purdue, 1991.
Charles B. Murphy Award for Outstanding Teacher, Purdue, 1991.
Nominated by Purdue Mathematics Department for MAA
     Distinguished Teacher Award, 1995.
Awarded a Certificate of Appreciation by the MAA for contributions in
     Mathematics Education, 1996.

VITA

Birthdate: February 7, 1935
Birthplace: Philadelphia, Pennsylvania
Marital Status: Single
Children: Three
Citizenship: USA

CURRENT PROFESSIONAL INTERESTS

· Extension of Piagetian and related theories of learning to the acquisition of abstract concepts in mathematics.

· Effect of computer experiences in learning abstract mathematics.

· Cooperative learning in post secondary mathematics education.

· Development of instructional materials for Post-Secondary Mathematics Courses using specific computer experiences based on the theoretical analyses and cooperative learning.

· Calculus Project - Development of a new approach to calculus based on research in learning and using computers, cooperative learning and alternatives to lecturing.

· Algebra Project - Development of a new approach to abstract algebra based on research in learning and using computers, cooperative learning and alternatives to lecturing.

· Building a Community of Researchers in Undergraduate Mathematics Education.

GRANTS

NSF: Research in functional analysis continuously supported from 1965 until l985 with the exception of 1967-68 when no proposal was submitted. In addition, although no research proposal was submitted for 1985-86, a special grant of $5000 for unrestricted travel was awarded. PI.

Sloan Foundation: "Institute for Retraining in Computer Science," amount of award: $374,000; time period: 2/18/83-8/31/85; time commitment of PI: 2 summer months, 1 academic year month; location of work: Clarkson University, Potsdam, New York. PI.

Digital Equipment Corporation: Equipment grant of 30 PRO 350 personal mini-computer systems including printers and software for combined use of Institute for Retraining in Computer Science and special undergraduate programs at Clarkson. Total value of gift, $386,000. PI.

Various publishers: over a six year period, approximately $65,000 worth of textbooks has been donated for the use of participants in an Institute for Retraining in Computer Science. Co-PI.

NSF: Calculus, Computers and Concepts, 1988-1989, $30,000. Co-PI.

Exxon: Undergraduate Mathematics, Now and Then, 1988-1990, $44,632. Co-PI.

NSF: High School Institute for Mathematics and Computer Science Education, 1988-1991, $1,500,000, 1991-1993, $800,000. Co-PI.

AMS/MAA: UME Trends, 1988-1996, $186,000. PI.

West Educational Publishing: Grants and advances for preparing a collection of text materials for calculus, 1989, $45,000, 1990, $12,500, 1991, $15,000. Co-PI.

NSF: Calculus, Computers and Concepts, 1990?1996, $894,000. Co-PI.

NSF: Learning Abstract Algebra, 1991-1994, $535,000. Co-PI and Project
Director.

Exxon: A conference on programs for mathematicians who would like to be involved in research in undergraduate mathematics education, 1994, $50,000. Co-PI.

NSF: UME Trends: Calculus Reform Retrospective, 1994?95, $57,000. Project
Director.

Exxon: Activities of RUMEC (Research in Undergraduate Mathematics Education
Community), 1996-1997, $83,000. Project Director.

NSF: CLUME: Cooperative Learning in Undergraduate Mathematics Education,
1995-96, 1997-2000, $590,000. Project Director.

NSF: Cooperative Research in Learning and Teaching, 1996-97, $50,000 Project Director

GSU: Internal Team Research Grant: Integrating Pedagogy and Curriculum Theory with Teaching Practice, 1996-97, $22,500. Project Director.

Exxon: Activites of RUMEC 1997-98, $60,000. PI and Project Director.

NSF: Web-Based Support for Synthesizing Visual and Analytic Strategies in Mathematics and Computer Science Undergraduate Education, 1997-98, $50,000. PI and Project Director.

NSF: Integrating Pedagogy and Curriculum Theory with Teaching Practice, 1998-1999, $100,000 PI and Project Director.

Exxon: Activites of ARUME 1998-2001, $285,000. PI and Project Director.

DISSERTATIONS DIRECTED

1. George Crofts (1967), Echelon Spaces, Co-Echelon Spaces and Steps.

2. Alfred E. Tong (1968), Tensor Products of Banach Spaces with Unconditional Bases.

3. William B. Robinson (1970), Extensions of Basic Sequences in Fréchet Spaces.

4. Lasse L. Homstrom (1980), A Study on the Structure of Nuclear Köthe Spaces.

5. Zafer Nurlu (1981), On Basic Sequences in Some Köthe Spaces and Existence of
Non-Compact Operators

6. Chiu-Keung Law (1991), A Genetic Decomposition of Geometric Transformations.

7. Draga Vidakovic (1993), Cooperative Learning: Differences Between Group and Individual Processes of Construction of the Concept of Inverse Function.

8. Karen Thomas (1995), On Learning the Fundamental Theorem of Calculus.

9. Ilana Arnon (1998), Children’s construction of fractions.

10. James Franklin Cottrill (1999), Students’ Understanding of the Concept of Chain Rule in First Year Calculus and the Relation to their Understanding of Composition of Functions.

CONFERENCES AND MINICOURSES ORGANIZED

1. Co-organizer of International Conference on Nuclear Spaces, Oberwolfach Germany, September 1987, February 1990.

2. Co-organizer, MAA Minicourse on Using Computers to Teach Discrete Mathematics, Atlanta, January 1988; San Antonio, January 1989; Louisville, January 1990.

3. Co-organizer, NATO advanced seminar on nuclear spaces, Istanbul, Turkey, August 1988.

4. Organizer of subgroup 2.3 for International Congress of Mathematics Education, Budapest, Hungary, August 1988.

5. Co-organizer, Conference on Learning Functions, West Lafayette, October 1990.

6. Organizer, Joint AMS/MAA Special Session on Research in Undergraduate
Mathematics Education, San Francisco, January 1991.

7. Co-organizer, MAA Minicourse on Learning Abstract Algebra with ISETL, San
Francisco, January 1991, Baltimore, January 1992.

8. Organizing Committee, MAA Conference on Research in Undergraduate
Mathematics Education, Washington D.C., November 1991.

9. Organizer, Session on Research in Undergraduate Mathematics Education, MAA, Baltimore, January 1992.

10. Organizer, Symposium on Resources in Undergraduate Mathematics Education, AAAS, Chicago, February 1992.

11. Organizer, Joint AMS/MAA Special Session on Research in Collegiate Mathematics Education, San Antonio, January 1993.

12. Sole presenter, Workshop on Abstract Algebra, University of Cincinnatti, June 27-July 3, 1998.

13. Sole presenter, NexT-WI Workshop on Research in Undergraduate Mathematics Education, Menomenie, WI, October 7-10, 1999.

SERVICE - NATIONAL & INTERNATIONAL

1. Associate Chair, Tulane Mathematics Department, 1968-69.

2. Director, Institute for Retraining in Computer Science (IFRICS), 1983-89.

3. Mathematical Association of America, Committee on Undergraduate Teaching of Mathematics, Member 1987-92.

4. NSF Workshop on Undergraduate Education in the Mathematical Sciences, (February 1988).

5. Mathematical Association of America, Education Representative to AAAS, 1989-92.

6. Editor, UME Trends: News and Reports on Undergraduate Mathematics Education, 1989-96.

7. Co-Director, Institute for Secondary Mathematics and Computer Science Education, 1990-93

8. Chair, AMS/MAA Joint Committee on Research in Undergraduate Mathematics Education, 1991-96.

9. Associate Editor for Mathematics and Computer Science, Journal of Computers in Mathematics and Science Teaching, 1992-97.

10. Organizer of Symposium: Revolution in Undergraduate Science and Mathematics Education, AAAS, February, 1992.

11. Associate Editor, Journal of Mathematical Behavior, 1992-

12. Member, NAEP Anchoring Panel, Educational Testing Service, September 1992

13. Member, NSF Study Group on Assessment, November 1992-94.

14. Co-Editor, Research in Collegiate Mathematics Education, Annual Volume of Papers Published by CBMS, 1994-.

15. Member, MAA Program Committee for Cincinnati Meeting, January 1994.

16. Member, MAA Program Committee for San Francisco Meeting, January 1995.

17. Co-Organizer, Special Session on Mathematics Education, Joint AMS/IMU Meeting, Jerusalem Israel, May 23?25, 1995.

18. Co-Director, MAA Project CLUME (Cooperative Learning In Undergraduate Mathematics Education) 1995-

19. Associate Editor, Journal of Computers for Mathematics Learning, 1996-1997

20. Member MAA Council on Education, 1996-99.

21. Member MAA Committee on Faculty Development, 1996-99.

22. Chair, MAA Task Force on Publishing Educational Materials, 1996-1998

23. Second Vice-President, MAA, 1997-2000

24. Member, Joint AMS/MAA Committee on Research In Undergraduate Mathematics Education, 1998-2002

25. Member, MAA Committee on Publications, 1998-2002.

26. Editor, Journal of Computers in Mathematics and Science Teaching, 1997-2000

27. Coordinator, Association for Research in Undergraduate Mathematics Education, 1998.

28. Member, MAA Subcommittee on Externally Funded Projects, 1998-2000.

29. Member, FOCUS Editorial Board, 1998-2001.

30. Chair, MAA Task Force on Special Interest Groups, 1999-

SERVICE – LOCAL

1. Member, department Graduate Faculty, 1998

2. Member, University STEP project

3. Member, STEP Task Force on mathematics.

4. Ph’D Thesis Advisor for:
    Jim Cottrill
    Mark Asiala
    Jennife Kleiman

   1.George Crofts (1967), Echelon Spaces, Co-Echelon Spaces and Steps, Tulane University.
   2.Alfred E. Tong (1968), Tensor Products of Banach Spaces with Unconditional Bases, Tulane University.
   3.William B. Robinson (1970), Extensions of Basic Sequences in Fréchet Spaces, Tulane University.
   4.Lasse L. Homstrom (1980), A Study on the Structure of Nuclear Köthe Spaces, Clarkson University.
   5.Zafer Nurlu (1981), On Basic Sequences in Some Köthe Spaces and Existence of Non-Compact Operators, Clarkson University.
   6.Chiu-Keung Law (1991), A Genetic Decomposition of Geometric Transformations, Purdue University.
   7.Draga Vidakovic (1993), Cooperative Learning: Differences Between Group and Individual Processes of Construction of the Concept of Inverse Function, Purdue University.
   8.Karen Thomas (1995), On Learning the Fundamental Theorem of Calculus, Purdue University.
   9. Jim Cottrill (1999), Students’ understanding of the concept of chain rule in first year calculus and the relation to their understanding of composition of functions, Purdue University.