Keith E. Schwingendorf, Ph.D.
Interim Dean, College of Science
Professor of Mathematics
Updated February 27, 2007
 
Purdue University North Central
Westville, IN 46391-9542
Office Phone: (219) 785-5735
kschwing@pnc.edu
http://faculty.pnc.edu/kschwing
 
 

Education:

·         Ph.D. in Mathematics, Purdue University West Lafayette (PUWL), 1978

·         M.S. in Mathematics, PUWL, 1971

·         B.S. with honors in Mathematics, PUWL, 1970

o        Indiana teaching license, 1982-1991 (mathematics, grades 7-12)

Current Professional & Research Interests:

·         Mathematics:

o        Functional Analysis, Approximation Theory, and Operator Theory.

·         Mathematics Education:

o        The use of research on how children learn and understand mathematics concepts to supplement mathematics content courses for K-6 elementary education majors

o        Teacher learning and their achieving of mathematics education reform.

o        Implementation of NCTM and Indiana Standards in grades K-12.

o        Teacher education and professional development.

o        The use of technology in the teaching and learning of mathematics; especially the development of curriculum and instructional materials for teaching mathematics concepts via computer experiences based on theoretical analyses and learning theories.

o        How students learn the function concept, basic calculus and linear algebra concepts.

o        Assessment of curriculum reform efforts.

Professional Experience:

1.       Interim Dean, College of Science, PNC, July 1, 2006-

2.       Chair, Mathematics, Statistics and Physics Department, PNC, January 1, 2002-June 30, 2006

3.       Professor of Mathematics, PNC, 1996-

4.       Associate Professor of Mathematics, PNC, 1991-1996

5.       Coordinator Actuarial Science Program, PUWL, 1985-1991 (Instrumental in the design and approval process of the Interdisciplinary Mathematics and Statistics Actuarial Science Program in spring 1989 – a program  now considered by many leading insurance companies as one of the top 10 programs in the U.S.)

6.       Mathematics Instructor, PUWL, 1978-1991

7.       Undergraduate Mathematics Advising Coordinator, PUWL, 1978-1991

8.       Graduate Instructor and Academic Advisor, PUWL, 1973-1978

9.       Graduate Teaching Assistant, PUWL, 1970-1973

10.    Mathematics Textbook Author, Reviewer, and Educational Consultant

o        Addison-Wesley Publishing, 1981-1986; 1997-

o        McGraw-Hill Publishing, 1987-1990; 1994-2001

o        Harper Collins College Publishing, 1993-1997

o        West Educational Publishing, 1989-1994

o        Random House, Inc., 1987-1989

Teaching Awards & Other Recognition:

1.      The Outstanding Teacher in Science, PNC, 2002-2003

2.      Student Support Services Director’s Award, PNC, 2001-2002

3.      The Outstanding Teacher in Science, PNC, 1997-1998

4.      The Outstanding Undergraduate Teacher in the School of Science, PUWL, 1990

5.      One of the Top 10 Undergraduate Teachers in the School of Science, PUWL, 1986, 1988, 1989

Honors & Professional Recognition:

1.      Delta Rho Kappa Scholastic Honorary (Purdue equivalent-Phi Beta Kappa prior to 1970)

2.      Phi Delta Kappa Education Honorary

3.      Phi Kappa Phi Scholastic Honorary

4.      Kappa Delta Pi Education Honorary

5.      Who's Who Among American Teachers, 5th, 7th, 8th, 9th, 10th Eds. (1998, 2002, 2004, 2005, 2006)

6.      Who’s Who Among American Men and Women of Science, 1992-1997, 2002

Professional Society Affiliations:

1.      Mathematical Association of America (MAA), 1970-

2.      National Council of Teachers of Mathematics, 1970-

3.      Indiana Council of Teachers of Mathematics (ICTM), 1978-

4.      American Mathematical Society (AMS), 1975-2001

Grants:

1.      (pending, Co-PI) Children Learn Mathematics (HCLM): Resources for Elementary Teachers, NSF, June 2008-June 2012, $677,333.

2.      (pending, Co-PI) How Children Learn Mathematics (HCLM): Resources for Elementary Teachers, NSF, June 2007-June 2009, $300,000.

3.      (pending, Co-PI) Title II (B) Mathematics Partnership Program: Algebra Concepts Expanded (ACE), an Indiana Mathematics Initiative Grant between Purdue University North Central and Michigan City Area Schools, proposed for June 2007-June 2009, $426,000.

4.      NSF (Co-PI): Connecting Mathematics for Elementary Teachers II, January 1, 2004 - December 31, 2006, $300,000. (CCLI-EMD DUE 0341217)

5.      NSF collaborator with Dr. David Feikes (PI): Connecting Mathematics for Elementary Teachers, January 1, 2002 – June 30, 2003, $75,000. (CCLI-EMD DUE 0126882)

6.      SIG/MAA mentoring grant on behalf of the Association for Research in Undergraduate Mathematics Education (ARUME) on Student Understandings of the Limit Concept, mentoring Aaron Montogmery, Central Washington University, 2000-2001, $1,400.

7.      NSF (Co-PI): Calculus, Concepts, Computers and Cooperative Learning (C4L): Assessment and Evaluation in Terms of Dissemination, Jan 1, 1994 – Dec 31, 1996, $218,000. (CCD DUE 9450750)

8.      NSF (Co-PI): Calculus, Concepts and Computers, 1993 -1995, $40,000. (Additional funding and extension of CCD DUE 9053432, see item 7 below).

9.      NSF ILI (PI): A Mathematics Laboratory with a Cooperative Learning Component, August 1, 1992 – December 31, 1995, $30,000. (ILI DUE 9252262)

10.  NSF (Co-PI): Calculus, Concepts and Computers, January 1, 1990 – December 31, 1993, $646,000.

(CCD DUE 9053432)

11.  NSF (Co-PI): Calculus, Concepts and Computers, 1988-1989, $30,000. (CCD USE 8813996)

Grant Consulting:

1.      NSF: The Integration of Linear Algebra Content with Learning Theory with PI Dr. Laurel Cooley, CUNY at Brooklyn, and Co-PI William Martin, South Dakota State University (2005-2006).

2.      NSF: Empowering Under prepared 2-yr and 4-yr College Mathematics Students, the State University of New York at Oswego, Oswego, NY (1995-1997).

Grant Consulting (continued):

3.      NSF: An Algebra Reform Curriculum for Community College Students: Evaluating Effects of Student/Faculty Perceptions on Implementation, outside evaluator for the project's summer training workshops Developmental Algebra: Restructuring-Effect Change, William Rainey Harper College, Palatine, IL (1994-1997).

Computer Background:

1.       WebCT Vista, HTML and other Web Page tools (e.g., Page Spinner)

2.       Microsoft Word, Excel, PowerPoint Presentation, and LaTeX publishing software

3.       Maple, ISETL, and Geometer’s Sketchpad pedagogical software

Books Published:

1.   with Reynolds, B. E., Przybylski, J., Kiaie, C. C., & Dubinsky, E. (1996). Precalculus, Concepts, and

      Computers (Preliminary Edition). New York, NY: McGraw-Hill Publishing; ISBN 0-07-052403-3.

2.      with Mathews, D. M. & Dubinsky, E. (1996). Applied Calculus, Concepts, and Computers (Revised

       Preliminary Edition). New York, NY: McGraw-Hill Publishing; ISBN 0-07-057274-7.

3.      with Dubinsky, E. (1996). Calculus, Concepts, and Computers: Multivariable and Vector Calculus Revised (Preliminary Edition). New York, NY: McGraw-Hill Publishing; ISBN 0-07-018003-2.

4.      with E. Dubinsky & Mathews, D. M. (1995). Calculus, Concepts, and Computers (Second Edition). New York, NY: McGraw-Hill Publishing; ISBN 0-07-041033-X.

5.      with Reynolds, B. E., Hagelgans, N., K., Vidakovic, D., Dubinsky, E., Shahin, M., & Wimbish, J. (1995). A Practical Guide to Cooperative Learning in Collegiate Mathematics. MAA Notes, 37, Washington, DC: Mathematical Association of America (MAA); ISBN 0-88385-095-8.

6.      with D. M. Mathews, D. M. (1994). Precalculus Investigations Using MapleV. New York, NY: HarperCollins College Publishers; ISBN 0-673-99410.

7.      with Dubinsky, E. (1992). Calculus, Concepts, and Computers Parts I & II (Preliminary Versions).

8.      with Dubinsky, E. (1992). Calculus, Concepts, and Computers Parts I & II (Preliminary Versions). St. Paul, MN: West Educational Publishing.

9.      with Dubinsky, E. (1992). Calculus, Concepts, and Computers for Management, the Social and Life Sciences (Preliminary Version). St. Paul, MN: West Educational Publishing.

10.  with Dubinsky, E. (1991). Calculus, Concepts, and Computers (Preliminary Version). St. Paul, MN: West Educational Publishing.

Book in progress:

1.       Feikes, D., Gregg, J., Eisenhauer, M. J. & Schwingendorf, K. (2001-2007). Connecting Math for Elementary Teachers, 348 pages (under review, Addison-Wesley; used at PNC with over 100 students and over 700 students at several other colleges & universities across the U.S.).

Publications:

1.      with Feikes, D. (2007). Focusing on How Children Learn and Think about Mathematics in Teaching Mathematics to Prospective Elementary Teachers Proceedings of AERA, Chicago, IL, April 2007

2.      with Feikes, D. (2004). Reconceptualizing the Mathematical knowledge and understandings of elementary-school teachers. In McDougall, D. E. & Ross, J. A. (Eds.) Proceedings of the 26th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, 3, 1385-1386). Toronto, Canada.

3.      with Feikes, D. & Gregg, J. (2004). THE EXCHANGE: Target! Developing the    

Commutative Property of Addition Activity. In Taylor, M. P. (Ed.) AMTE Connections Newsletter, Vol. 13, 3, June 2004.

 

 

 

Publications (continued):

4.      with McCabe, G. P. & Kuhn, J. (2000). A longitudinal study of student performance in the Purdue C4L calculus reform project: Comparisons of C4L and traditional students. In Dubinsky, E., Kaput, J. & Schoenfeld, A. (Eds.), Research in Collegiate Mathematics Education IV. Providence, RI: CBMS by American Mathematical Society (AMS), pp. 63-76.

5.      (1999). Assessing the Effectiveness of Innovative Educational Reform Efforts. In Gold, B.,

Keith, S. & Monroe, W. (Eds.) Assessment Practices in Mathematics (pp. 249-252). MAA Notes, 49, Washington, DC: Mathematical Association of America (MAA).

6.      with Asiala, M., Cottrill, J., & Dubinsky, E. (1997). The development of the students’ graphical understanding of the derivative. Journal of Math. Behavior, 16(4), 399-431

7.      Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & Vidakovic, D. (1996). “Understanding the limit concept: Beginning with a coordinated process schema.” Journal of Math. Behavior, 15(2), 167-192.

8.      (1995). “Developmental Algebra: Restructuring-Effect Change.” UME Trends, 7(1), 3.

9.      with Mathews, D. M., & Narayan, J. (1995). “Using MapleV as a programming language in calculus.” Proceedings of the 7th Annual International Conference on Technology in Collegiate Mathematics (309-313). Reading, MA: Addison-Wesley (A-W).

10.  with Mathews, D. M. & Dubinsky, E. (1995). “Calculus, concepts, computers and cooperative learning: The Purdue calculus reform project.” Proceedings of the Seventh Annual International Conference on Technology in Collegiate Mathematics (402-406). Reading, MA: A-W.

11.  with Hawks-Hoover, J. & Beineke, J. (1992). “Horizontal and vertical growth of the students' conception of function.” In Harel, G. & Dubinsky, E. (Eds.), The Concept of Function: Some Aspects of Epistemology and Pedagogy (133-149). MAA Notes, 25, Washington, DC: MAA.

12.  (1992). “Calculus Reform in the US: A Closer Look at the Purdue Project.” Proceedings of the 7th International Congress of Mathematics Education Working Group 3, Québec, CA.

13.  (1992). “Actuarial Education in the United States.” Proceedings of the Seventh International Congress of Mathematics Education Working Group 15, Québec, Canada.

14.  (1992). “The use of technology in the Purdue calculus project.” Proceedings of the Portland State University Workshop on Computer Algebra Systems, Portland, OR.

15.  (1991). “Calculus, Concepts, Computers and Cooperative Learning (C4L): A Workshop.” UME Trends, 4(3), 3.

16.  with Dubinsky, E. (1991). “Constructing calculus concepts: Cooperation in a computer laboratory.” In Leinbach, C. (Ed.), The Laboratory Approach-Teaching Calculus (47-70). MAA Notes, 20, Washington, DC: MAA.

17.  with Dubinsky, E. (1991). “Calculus, Concepts and Computers: Some Laboratory Projects.” In Leinbach, C. (Ed.), The laboratory approach to teaching Calculus (pp. 197-212). MAA Notes, 20, Washington, DC: MAA.

18.  with Dubinsky, E. (1990). “Calculus, concepts and computers – Innovations for learning calculus.” In Tucker, T. (Ed.), Priming the Calculus Pump: Innovations and Resources (175-198). MAA Notes, 17, Washington, DC: MAA.

19.   (1980). “Uniform polynomial approximation.” Journal of Math. Analysis & Applications, 75, 81-101.

Papers Reviewed for Journals:

1.   (2004).  Manuscript 3-087 for the College Mathematics Journal.

2.   (2004). “The transition to graduate study in Mathematics” for the College Board Math. Series

      (CBMS) journal Research in Collegiate Mathematics Education co-sponsored by AMS & MAA.

3.   (2002). “An image of calculus reform: Students' experiences of Harvard calculus” for the

CBMS journal Research in Collegiate Mathematics Education co-sponsored by AMS and MAA.

4.      (2000). “Cooperative learning in Calculus reform” for the CBMS journal Research in

Collegiate Mathematics Education co-sponsored by the AMS and MAA.

5.  (1997). “Understanding sequences: A tale of two objects” for the CBMS journal Research in

Collegiate Mathematics Education co-sponsored by the AMS and the MAA.

Papers Reviewed for Journals (continued):

6.  (1997). “Using technological tools in the administration of undergraduate Statistics courses”

for the Proceedings of the American Statistical Association in the Section on Statistical Education.

7.  (1996). “Analyzing Designated Hitter Effects: Using a Data Base” for the Indiana Council

of Teachers of Mathematics Quarterly Journal the Indiana Mathematics Teacher.

8.  (1995). “Differential Patterns of Guessing and Omitting in Mathematics Placement

Testing” for the CBMS sponsored book/journal Research in Collegiate Mathematics Education.

9.  (1994). “The Geo-Board and Applications to Trigonometry” for the Indiana Council of

Teachers of Mathematics Quarterly Journal of the Indiana Mathematics Teacher.

Ph.D. Committees – Purdue University West Lafayette:

1.      Jack Tedeski, Mathematics Education (2000): The Determination and Development of Abstraction in Linear Algebra.

2.      Jim Cottrill, Mathematics Education (1998): Students' Understanding of the Concept of Chain Rule in First Year Calculus and the Relation-Their Understanding of Composition of Functions.

3.      Karen Thomas, Mathematics Education (1995): The Fundamental Theorem of Calculus: An Investigation into Students' Constructions.

4.      Draga Vidakovic, Mathematics Education (1993): Differences Between Group and Individual Processes of Construction of the Concept of Inverse Function.

Faculty Mentoring:

1.      Professor Judy Serwatka, Computer & Information Technology Dept, 2001-

2.      Associate Professor Alain Togbe, 2003-

3.      Associate Professor David Feikes, 1992-

4.      Associate Professor Jonathan Kuhn, 1997-2002

5.      Small Group Instructional Diagnoses (SGIC) Facilitator for junior faculty, 1997-

Peer Teachers Evaluations Completed for Junior Faculty:

  1. Assistant Professor David Burrus
  2. Assistant Professor Jesse Cohn
  3. Assistant Professor Teresa Henning
  4. Assistant Professor Diane Maletta
  5. Assistant Professor David Pratt
  6. Associate Professor Daniel Rutledge
  7. Assistant Professor Diane Spoljoric
  8. Assistant Professor Alain Togbe
  9. Assistant Professor Guy Vandegrift

 

University Service:

PNC Mathematics, Statistics and Physics Department Service:

1.      Mathematics Search Committee, Chair, 2005-2006

2.      Visiting Instructor of Mathematics Search Committee, Chair, 2004-2005

3.      Physics Search Committee, Co-Chair, 2005-2006

  1. Required all Department full-time faculty to post their syllabi on WebCT, spring 2005-

5.      Collaborated on the drafting of an Interdisciplinary Science Major (first drafted in January 2003 with Dr. Joseph Camp) with Dr. Rich Hengst, 2004 & 2005

  1. Organized a presentation to President Jischke regarding the state of the Mathematics, Statistics, and Physics Department, the CMET II NSF grant, and an NSF grant jointly submitted with Purdue University Calumet for an astronomy viewing facility, fall 2004

7.      Mathematics Search Committee, Chair, 2004-2005