# Cashing, Douglas

ACADEMIC SCHOOL

School of Arts & Sciences

ACADEMIC DEPARTMENT
Mathematics

CONTACT INFORMATION
Office phone: (716) 375-2472

E-mail: dcashing@sbu.edu

E-mail: dcashing@sbu.edu

OFFICE LOCATION
De La Roche 301 B

COURSES TAUGHT

*Mathematics*

- Arithmetic/Algebra (primarily for HEOP)
- MATH 107. Statistics for Social Sciences
- MATH 108. Pre-Calculus Mathematics
- MATH 111. Mathematics for Elementary Education I
- MATH 112. Mathematics for Elementary Education II
- MATH 121. Finite Mathematics
- MATH 122. Calculus for Business and Social Science
- MATH 142. Mathematics for Liberal Arts Majors
- MATH 151. Calculus for Mathematics and Natural Science
- MATH 207. Discrete Mathematics I
- MATH 208. Discrete Mathematics II
- MATH 211. Geometry for Elementary Education
- MATH 241. Linear Algebra
- MATH 252. Differential Equations
- MATH 312. Geometry
- MATH 322. Mathematical Probability
- MATH 323. Mathematical Statistics
- MATH 341. Abstract Algebra I
- MATH 342. Abstract Algebra II
- MATH 351. Introduction to Real Analysis I
- MATH 413. Number Theory
- MATH 431. Numerical Analysis
- MATH 461. History of Mathematics
- Special Topics for High School Teachers (grad)
- Supervising of student teachers
- Secondary Mathematics Education Seminar
- Independent Studies/Senior Seminars: probability, time series analysis, Markov chains, multiple regression, order statistics, point-set topology, factor analysis, number theory

*Computer Science*

- CS 131. Introduction to Computer Science (with BASIC)
- CS 231. Computer Organization
- CS 232. Data Structures and Algorithms
- CS 243. Database Management
- CS 331. Organization of Programming Languages
- CS 492. Independent Study Project
- Computer Applications in Business (with COBOL)
- Programming I (with Pascal)
- Programming II (with FORTRAN)
- File Processing

ACADEMIC DEGREES

- Ph.D., Mathematics Education, Syracuse University
- M.A., Mathematics, SUNY Oswego
- B.S., Math Education, SUNY Oswego

OTHER EDUCATION

PROFESSIONAL BACKGROUND

- Full Professor, St. Bonaventure University, since 9/92
- Associate Professor, St. Bonaventure University, 9/87 to 8/92
- Assistant Professor, St. Bonaventure University, 9/81 to 8/87
- Assistant Professor, St. Francis College (Pa.), 9/79 to 5/81
- Teaching Assistant, Syracuse University, 1/74 to 5/79
- Teaching Assistant, State University of New York at Oswego, 9/71 to 5/73

ACCOMPLISHMENTS

*Publications*

- "The Role of Structured Programming in Computer Education" Interface:
*The Computer Educator's Quarterly*, Fall 86 (Vol. 8, issue 3). - "The Mathematics of Wrong Turns" (with Dr. Albert White),
*The Mathematics Teacher*, Nov 86 (Vol. 79, #8). - "Convergence of Weighted Averages" (with Dr. Charles Diminnie),
*The Pi Mu Epsilon Journal*, Spring 87 (Vol. 8, # 6). - A letter to the editor concerning the controversy over GOTO statements in computer programming,
*Communications of the ACM*, June 87 (Vol. 30, # 6) [cited in*Journal of Systems and Software*, March 90 (Vol. 11, # 3) pages 217 – 223]. - "A Simulator for Tanenbaum's Micro-Architecture" (with V. Babb and H. Sedinger), published in the Proceedings of the Third Annual Eastern Small College Computing Conference, Oct 87, and in the Proceedings of the First Annual Southeastern Small College Computing Conference, Dec 87.
- "Is the Distributive Property Redundant?" the
*College Mathematics Journal*, Nov 87 (Vol. 18, # 5). - "Mathematics by Experiment − An Example (with Dr. Albert White) the
*New York State Mathematics Teachers' Journal*, Fall 88 (Vol. 38, # 3). - "On the Equivalence of Multiplication and Division in Mod-n Systems" the
*New York State Mathematics Teachers' Journal*, Spring 90 (Vol. 40, # 2). *A Programmer's Guide to File Prosessing*; PWS-Kent Publishing; copyright 1991.- Instructor's Manual for above, co-authored with Loren Stephens (a former student); PWS-Kent; 1991.
- “Triangles on a Geoboard: A Mathematical Potpourri,”
*The New York State Mathematics Teachers' Journal*, Fall 1997 (Volume 47, issue # 3). - “L’Hospital’s Rule Meets the Math of Finance,”
*The New York State Mathematics Teachers' Journal*, Spring 2004 (Volume 54, issue # 1) - “Mandatory Shooting Percentages,”
*The New York State Mathematics Teachers' Journal*, Winter 2005 (Vol 55, # 3)

*Addresses Given*

- "Lobachevskian Geometry," March 1977, Mathematics Graduate Organization, Syracuse University
- "Arrow's Paradox," February 1978, Mathematics Graduate Organization, Syracuse University
- "Dewey and Gestalt: An Approach to Teaching," March 1978 New York Regional Graduate Mathematics Conference, Syracuse University
- "Why a Vector Is Not an Arrow," November 1978, Mathematics Graduate Organization, Syracuse University
- "A Geometric View of Dot Products," March 1979, New York Regional Graduate Mathematics Conference, Syracuse University
- "Arrow's Paradox," May 1979, Western New England College
- "Arrow's Paradox," March 1980, Mathematics Club, St. Francis College
- "Computers in Business," December 1980, Continuing Education Seminar for Certified Accountants, St. Francis College (by invitation)
- "Lobachevskian Geometry," March 1981, Mathematics Club St. Francis College
- "Taxi Cab Geometry," April 1981, Mathematics Club St. Francis College
- "Why a Vector Is Not an Arrow," Aug 21, 1981, Syracuse University (by invitation) for the summer workshop of the Mathematics Teachers of New York State
- "Lobachevskian Geometry," Aug 22, 1981, Syracuse University (by invitation) for the workshop above
- "Transfinite Arithmetic," March 12, 1982, Pi Mu Epsilon Chapter, St. Bonaventure University
- "Why a Vector Is Not an Arrow," April 24, 1982 -Seaway Section, Mathematics Association of America
- "Fagin's Normal Form in Relational Databases," April 23, 1983 Seaway Section, MAA (joint meeting with the NYS Mathematics Association of Two Year Colleges)
- "Arrow's Paradox," May 1983, Pi Mu Epsilon Chapter St. Bonaventure University
- "Recognition of Upper Bound Graphs," Nov 3, 1984 Seaway Section, MAA
- "What High School Students Should Learn About Mathematics" in-service workshop, Jan. 18, 1985, Coudersport School District (with attendees from other districts)
- "A Simulator for Tanenbaum's Micro-Architecture," Oct 17, 1987, Eastern Small College Computing Conference.
- "An Attempt to Improve the Mathematics Course for Elementary Education Majors," Nov 3, 1990, MAA Seaway Section Meeting (supported by SBU Faculty Research Awards, 1988 to 1990)
- "Taxi Cab Geometry," March 1991, Mathematics Club St. Bonaventure University
- "Arrow's Paradox," January 1992, MAA Student Chapter, St. Bonaventure University
- "Classroom Research," February 1992, Panel Discussion on Innovations in Teaching, Teaching and Learning Center, St. Bonaventure University
- "Writing Assignments in Math Courses," April 1992, Panel Discussion on Writing Across the Curriculum, Teaching and Learning Center, St. Bonaventure University
- "Mathematics: What It Is Versus How It's Taught," keynote address at MathCONN 92 (by invitation), April 1992, Cedar Crest College, Allentown PA
- "The Mathematics of Winning Games," April 1994, MAA Student Chapter, St. Bonaventure University
- "An Esoteric Binary Operation and Its Application," November 1994 MAA Seaway Section Meeting, RIT
- “Geometry on the TI-92 -- An Example,” September 1996, Univ. of Pittsburgh at Bradford, AMTONP fall meeting
- “Game Theory -- Part II,” November 1998, MAA Student Chapter, St. Bonaventure University
- “Chaos in Calculus,” May 28, 1999, Mr. Way’s Calculus Class at Ellicottville Central School
- “Conic Sections in Taxi-Cab Geometry,” October 27, 1999, MAA Student Chapter, St. Bonaventure University
- “AP Stats: What’s It All About?” October 27, 2001, AMTNYS Conference, Rochester, NY
- "The Joys and Benefits of AP Grading,” April 5, 2003, MAA Seaway Section Meeting, Alfred University

*Articles Refereed*

- “4 Out of 5 Students Surveyed …” for Journal of Statistical Education (review submitted Sept 2003)
- “Simulation and the First Quartile” for the New York State Mathematics Teachers’ Journal (review submitted March 2004)
- “Mutually Exclusive Events, …” for Journal of Statistical Education (review submitted February 2005)

*Reviews of Text Books and Software Products*

- Database Processing (2nd edition), by request of David M. Kroenke, author, June 1982
- MicroRIM Database Management System (computer software) by request of MicroRIM Software Company, spring 1983
- Introduction to Data Base Management (3 chapters) by request of Wm. C. Brown, Publisher, Oct 1984
- Introduction to File Processing (12 chapters), by request of Wadsworth Publishing, April 1986
- Mathematics for Elementary School Teachers (6 chapters), by request of Addison-Wesley Publishing, July 94
- Exploring Geometry, by request of Simon & Schuster Publishing, August 1994
- Math for Elementary Teachers , by request of Houghton Mifflin Co., November 1994 through November 95, plus an accuracy review in the summer of 1996
- STATS: Modeling the World, accuracy review, requested by Addison-Wesley, Fall 2005
- STATS: Data and Models, text review (7 chapters), requested by Addison-Wesley, Spring 2006

*Service to Professional Organizations*

- Regional Coordinator for the American High School Mathematics Examination, June 1982 to June 1984
- Departmental Representative for the Mathematics Association of America, September 1983 to present
- Refereed papers submitted for presentation at the Eastern Small College Computing Conferences, 1990 through 1994
- Organized and moderated a special session on the mathematics courses for elementary education majors at the Spring 1991 meeting of the Seaway Section of the Mathematics Association of America
- Assisted with grading and / or proctoring, MATHCOUNTS contest at St. Bonaventure University, Winters of 1992 and 1994
- Directed regional MATHCOUNTS contest, since July 1994
- Directed regional Challenge 24 contest, since July 1994
- Nominating Committee, Seaway Section of the MAA, 1994 / 1995
- Grader for Advanced Placement Statistics exam, 1997 through 2002
- Table Leader for Advanced Placement Statistics exam, 2003 to present
- Workshop Presenter for AP Statistics (see PROFESSIONAL CONSULTING WORK, section VII, below for details)
- External Reviewer for the Mathematics Program at University of Pittsburgh’s Bradford Campus, December 2005
- External Tenure/Promotion evaluator for a member of the mathematics faculty at University of Pittsburgh’s Bradford Campus, June 2007

*Memberships in Professional Societies*

- Mathematics Association of America (MAA)
- National Council of Teachers of Mathematics (NCTM)
- Association for Women in Mathematics (AWM)
- Association of Mathematics Teachers of New York State (AMTNYS)

*Departmental Service*

- Department Chair, June 1984 to Sept 1988, and August 2001 to May 2007
- committee to design a program in Management Information Systems for a

major and a secondary concentration - Designed and implemented CS 361 (Database Management)
- Advisor for math majors (and previously for Computer Science majors)
- Supervisor for independent studies/senior seminars
- Participation in preparation of the departmental Middle States self-evaluation

G. Faculty advisor to the Math and Computer Science Club, Sept 1981 to Jan 1985 - Wrote proposal for the position of Coordinator of Developmental Mathematics
- Recording Secretary for Pi Mu Epsilon, National Mathematics Honorary

Society, Spring 88 to present - Participation in curriculum reform for the Computer Science major
- Participation in the Mathematics curriculum reform
- Curriculum Committee for Upper-Level Courses
- Curriculum Committee for Graduate Courses

*University Service*

- Academic Standards Committee, Sept 1983 to May 1985
- Task group to develop a University Learning Center, June 88 to Sept 89
- Teaching and Learning Center Advisory Board, Sept 90 to Sept 93
- Faculty Committee on Recommendations (member, Sept 89 to May 91 and Sept 93 to May 97, chair Sept 90 to May 91)
- Faculty Research Award Committee, Oct 89 to April 91
- Corporate Cup, Athletic Roster Coordinator, 1991 to 1993
- Middle States Steering Committee, Oct 92 to April 93
- Faculty Senate Grievance Committee, June 93 to January 95
- Advisor for Undecided Science Majors, Sept 93 to May 94
- Supervisor for Secondary Math Student Teachers, Fall 93 to Spring 98
- Telephoning perspective students to increase admissions, as needed
- Faculty Senate, May 1998 to December 2000
- Faculty Senate Grievance Committee Chair, May 1998 to May 2000
- Member of Constitution Committee, May 2000 to May 2001
- Middle States Steering Committee/Task Force Co-Convener, Sept. 02 to Oct. 04
- Faculty Senate Grievance Committee Member, May 2006 to May 2007

*Professional Consulting Work*

- Designed and implemented a micro-computer based accounting system for

the SBU pooled endowment fund - Member of Home Health Care's computer advisory committee for selection

of a computer system - Member of BOCES computer consultant advisory committee
- Chairman of First Presbyterian Church computer selection committee
- Statistical consulting for Dr. Gary Pierce, Southern Tier Consulting firm
- Evaluation of a statistical survey of members' background and opinions for First Presbyterian Church
- Computer system maintenance for First Presbyterian Church
- Worked with faculty from Olean Middle School to develop curriculum in line with the New York State Mathematics-Science-Technology Frameworks
- Invited by College Board to be a consultant for Advanced Placement Statistics, giving workshops for high school teachers around the Northeast, 1999-2007

TEACHING PHILOSOPHY

CURRENT RESEARCH INTERESTS/PROJECTS

PERSONAL INTERESTS/COMMUNITY INVOLVEMENT

- First Presbyterian Church
- Choir, Sunday School Teacher, Youth Group Chaperon, numerous committees

- New York State Safe Boating Course Instructor
- one 8-hour course each July from 1993 to present, additional courses in 2000 and 2004

- Cook and cleanup assistant, Olean Middle School field trip to Letchworth State Park (four days), 1993 and 1994
- Christmas in April volunteer, 1995 to 1999, 2004
- Instructor/chaperone/chauffer for BonaLeader camp – June 26 & 27, 2007

WEBSITE LINKS