Robert L. Morton Emeritus Professor of Mathematics Education Ohio University, Athens, OH 45701

Current address:

517 Indian Oaks Lane Sheboygan, WI 53081

Web page: http://www.ohio.edu/people/schultz/

Ph. D. in mathematics education and M. S. in mathematics from The Ohio State University,

B. S. in mathematics education from the University of Wisconsin

5 years high school teaching experience in Wisconsin

35 years university teaching experience, including 11 years as the Morton Chair of Mathematics Education at Ohio University, 22 years in university math departments (Ohio State University and others), and 2 additional years in colleges of education

visiting appointments at 7 universities, including the Michigan State University, the University of Chicago, Oregon State University, and the University of Georgia

co-author of 1989 NCTM Curriculum and Evaluation Standards

author or co-author of 25 college, secondary, and middle school textbooks

acknowledged as a contributor in 14 other books

author or co-author of over 30 articles in 11 different journals and other publications

writings translated into Arabic, Bulgarian, Chinese, Hebrew, French, Spanish

contributor to 5 movies and videos

principal investigator or co-principal investigator on 5 grants

contributor to two National Science Foundation curriculum projects

presentations at Berkeley, Cambridge, and many others including 18 foreign countries

co-organizer of 7 national and international conferences

member of 3 national committees, chair or the NCTM's Educational Materials Committee

classroom observations in 16 countries

director of 7 Ph. D. dissertations

cofounder of USACAS, whose eleven Annual Conferences have interfaced classroom teachers with international leaders in the use of computer algebra systems

awarded the 2005 Christofferson-Fawcett Award by the Ohio Council of Teachers of Mathematics for “Inspiration and Devotion to Education in Mathematics”

B.S. in Mathematics Education, University of Wisconsin 1963

M.S. in Mathematics, The Ohio State University 1967

Ph.D. in Mathematics Education, The Ohio State University 1971

Regular Positions | |

1963-68 | Mathematics Teacher and Debate Coach |

1968-71 | Homestead High School, Mequon, Wisconsin Administrative Associate to the Chairman |

1971-78 | Department of Mathematics, The Ohio State University Assistant Professor |

1978-92 | Department of Mathematics, The Ohio State University Associate Professor |

1992-94 | Department of Mathematics, The Ohio State University Guiding Instruction in Mathematics |

1994-05 | (consulting and authoring following early retirement from The Ohio State University) Robert L. Morton Professor of Mathematics Education |

Ohio University | |

Visiting Positions | |

1973-74 | Department of Mathematics, Michigan State University (9 months) |

1974-75 | Graduate School of Education, University of Chicago (6 months) |

1983 | Department of Mathematics, Oregon State University (4 months) |

1984 | Department of Mathematics, Lewis and Clark College, (2 months) |

1988 | College of Education, University of Leicester, U.K. (3 months) |

1989 | Department of Mathematics Education, University of Georgia (6 months) |

1991 | Department of Mathematics Education, University of Georgia (3 months) |

1992 | Department of Mathematics, Portland State University (2 weeks) |

1993 | Department of Mathematics Education, University of Georgia (3 months) |

1994 | Department of Mathematics, Ohio State University (2 weeks) |

2003 | Department of Mathematics, Portland State University (2 weeks) |

Consulting Positions

1972 | Mathematics Methods Project, Indiana University (3 weeks) |

1979 | Fifth Indonesian Education Project, Yogyakarta and Surabaya (4 weeks) |

1980 | Laboratory School, University of Costa Rica (3 weeks) |

1980 | Fifth Indonesian Education Project, Jakarta and Yogyakarta (5 weeks) |

1985 | University of North Sumatra, Medan, Indonesia (6 weeks) |

1986-87 | University of Chicago School Mathematics Project (22 weeks) |

1987-88 | NCTM Commission on Standards for School Mathematics (6 weeks) |

1990 | Nuffield Advanced Mathematics Project, England (1 week) |

1992 | Project Discovery, State Systemic Initiative of Ohio (8 weeks) |

1992 | National Kaohsiung Normal University, Taiwan (2 weeks) |

1992 | University of Western Kentucky (1 week) |

1992 | Third International Mathematics and Science Study, Vancouver, B.C. (2 weeks) |

Consulting Positions (cont.)

1990-93 | Leadership Infusion of Technology in Mathematics and Its Uses in Society Project, |

University of Georgia (33 weeks) | |

1993-95 | Six Through Eight Mathematics Project, University of Montana (10 weeks) |

1995 | Project Discovery, State Systemic Initiative of Ohio (2 weeks) |

2000 | Best Practices in Education, Varna, Bulgaria, August (10 days) |

2001 | Ministry of Education, Saudi Arabia, April (10 days) |

2001 | Sakarya University, Turkey, May (1 week) |

2002 | Best Practices in Education, Sinaia, Romania, August (10 days) |

2003 | Best Practices in Education, Sosopol, Bulgaria, August (10 days) |

2003 | Positivo, Curitiba, Brazil (1 week) |

2005 | University College of Education, Winneba, Ghana (1 week) |

Books

Approaches to Teaching Mathematics Content to Prospective Elementary Teachers, Ph.D. Dissertation, 1971.

Mathematics for Elementary School Teachers, Charles E. Merrill Publishing Company, 1977, 1982.

Solution Manual for Mathematics for Elementary School Teachers, (Assisted by Jerry Martin) Charles E. Merrill Publishing Company, Columbus, 1977, 1982.

Co-author for

*Invitation to Mathematics*(Grades K-8 Mathematics Program), Scott-Foresman 1985, 1987, 1988 (6 books).Problem Solving Sourcebook (Grade 8) (with Tom Butts), Scott, Foresman and Company, 1985.

"Introduction to BASIC": In

*Pre-Algebra*, Scott, Foresman and Company, 1987.Teacher's Resource Book to accompany

*Pre-Algebra*, (Computer BASIC and Logo worksheets) Scott, Foresman and Company, 1987.Functions, Statistics and Trigonometry (with Rheta Rubenstein, et.al.), University of Chicago School Mathematics Project, 1989, and Scott, Foresman 1992, 1998, 2010

Co-author of

*Curriculum and Evaluation Standards for School Mathematics*(grades 5-8), NCTM, 1989.Co-author of

*Exploring Mathematics*(with L. Carey Bolster,*et. al.)*(Grades K-8 Mathematics Program), Scott Foresman, 1991, 1994 (6 books).Co-author of

*A Core Curriculum: Making Mathematics Count for Everyone*(NCTM Standards Addenda Series, with Steven Meiring,*et. al*.), NCTM, 1992.Lead author of

*Algebra*(with Kathleen Hollowell and Wade Ellis). Holt, Rinehart, and Winston 1997.Co-author of

*Geometry*(with Kathleen Hollowell,*et. al.*). Holt, Rinehart, and Winston 1997.Co-author of

*Advanced Algebra*(with Wade Ellis,*et. al.*). Holt, Rinehart, and Winston 1997.Co-author of

*Algebra One Interactions*,*Course 1*and*Course 2*. Holt, Rinehart, and Winston 1998.Senior Series Author of

*Algebra 1*. Holt, Rinehart, and Winston 2001, 2004.Senior Series Author of

*Geometry*. Holt, Rinehart, and Winston 2001, 2004.Senior Series Author of

*Algebra 2*. Holt, Rinehart, and Winston 2001, 2004.Articles

"The CRIMEL Program" (Ohio State University Curriculum Revision in Instruction in Mathematics at the Elementary Level) ,

*Mathematics Teacher*, Oct., 1971."Why I Don't Have Any Examples of Negative Numbers",

*Arithmetic Teacher*, May, 1973."An Expanded Abstract and Critical Analysis of 'The Effects of Differing Presentations of Mathematical Word Problems upon the Achievement of Pre-service Elementary Teachers' ",

*Investigations in Mathematics Education*, Winter, 1976."An Expanded Abstract and Critical Analysis of 'An Evaluation of the Mathematics - Methods Program Involving the Study of Teaching Characteristics and Pupil Achieving in Mathematics’”,

*Investigations in Mathematics Education*, Fall, 1977."How Calculators Give Rise to a New Need for Skills in Algebra",

*School Science and Mathematics,*February, 1978.

"Using a Calculator to do Arithmetic in Bases Other than Ten",

*Arithmetic Teacher*, September, 1978. (Also reprinted in*Calculators - Readings from the Arithmetic Teacher*, National Council of Teachers of Mathematics, 1979.)"A New Look at Some Old Problems in Light of the Hand Calculator" (with Bert K. Waits),

*The Two Year College Mathematics Journal*, January, 1979."An Iterative Method for Computing Solutions to Equations Using a Calculator" (with Bert K. Waits),

The Mathematics Teacher, December, 1979.

"Alternatives in the Mathematics Preparation of Elementary Teachers" (with Joan R. Leitzel and Arthur

L. White),

*The American Mathematical Monthly*, August, 1980."Preparation in Mathematics of a Prospective Elementary Teacher Today, in View of the Current Trends in Mathematics, in Schools, and in Society",

*Proceedings of the Fourth International Congress on Mathematical Education*, Birkhauser, Boston, 1983."Contemporary Styles in In-Service Education for Primary Mathematics" (with Alan Osborne),

*Studies in Mathematics Education*, Vol. III, UNESCO, 1984. (also translated into French, Chinese, and Arabic)."Guiding the Elementary School Curriculum", invited editorial,

*The Arithmetic Teacher,*May, 1984."The Role of Mathematics Education Specialists in Departments of Mathematics" (with William Burger),

*The American Mathematical Monthly*, Nov. 1984."An Approach to Problem-Solving Using Equivalence Classes Modulo n” (with William Burger),

The College Mathematics Journal, Nov. 1984.

"When Does the Sum of the Rounds Equal the Round of the Sum?" (with Roger Nelsen),

*The College Mathematics Journal*, Nov. 1987Eighth Grade Mathematics, (assisted by Linda Kazee, edited by Steven Meiring) Monograph for the State of Ohio Department of Education, 1988.

Enriched 8th Grade Mathematics, (assisted by Linda Kazee, edited by Steven Meiring) Monograph for the State of Ohio Department of Education, 1988.

"Why Probability and Statistics Must Be Taught In the School Mathematics Curriculum" (invited editorial),

*Ontario Mathematics Gazette ,*December 1989."The NCTM Standards from the Teacher's Perspective", Monograph, Scott Foresman, 1990.

"Integrating Statistics into a Course on Functions" (with Rheta Rubenstein),

*The Mathematics Teacher*, November 1990."Implementing the Standards: Teaching Informal Algebra",

*The Arithmetic Teacher,*May 1991 (also reprinted in*Reading from the Arithmetic Teacher, Implementing the K-8 Curriculum and Evaluation Standards*and on CD-ROM accompanying*Navigating through Algebra in Grades 3-5,*2001).Articles (cont.)

"Area Models -- Spanning the Mathematics of Grades 3 - 9",

*The Arithmetic Teacher*, October 1991. (also translated into Hebrew by National Center for Elementary and Preschool Teachers of Mathematics, Haifa)“High Level Technology in a Low Level Mathematics Course” (with Norma Noguera),

*International Journal of Computer Algebra in Mathematics Education*Vol. 7 No. 1 March 2000.“Why Representations?” (with Michael Waters),

*The Mathematics Teacher*September 2000.“Three Similar Optimization Problems – Three Different Mathematical Ideas” (in Bulgarian),

Mathematics Plus, vol. 2, 2001.

“The Emerging Role of Computer Algebra Systems in School Mathematics” published on CD ROM by the Vienna International Symposium on Integrating Technology in Mathematics Education, 2002.

“An Evening Session at OCTM”

*Ohio Council of Teachers of Mathematics Journal*, Autumn 2002.“Mathematics Education in Rural Communities on Light of Current Trends in Mathematics Education”, Working Paper No. 1, Appalachian Collaborative Center for Learning, Instruction, and Assessment in Mathematics (ACCLAIM), October, 2002. Retrievable at http://www.acclaim- math.org/docs/working_papers/WP_01_Schultz.pdf

“To CAS or not to CAS?” in

*Computer Algebra Systems in Secondary School Mathematics Education,*NCTM, 2003.

“Memorial Article: Arnold Ross (1906-2002)” (with Prakash Bambah, Thomas Banchoff, Felix Browder, Allyn Jackson, David Pollack, Peter Roquette, Karl Rubin, Paul J. Sally Jr., Daniel Shapiro, Alice Silverberg, Glenn Stevens, Bert K. Waits, Max Warshauer, Gloria Woods)

*Notices of the American Mathematical Society*, June/July 2003.“The Constant Feature: Spanning K–12 Mathematics”

*The Mathematics Teacher*, March 2004.“An Initial Research Agenda for Rural Mathematics Education” (with Michael Waters and Craig Howley). Working Paper No.16, ACCLAIM. Originally published in October 2003 and updated in November 2004). Retrievable at http://www.acclaim- math.org/docs/working_papers/WP_16u_Waters_Howley_Schultz.pdf

“An Initial Research Agenda for Rural Mathematics Education” (with Michael Waters and Craig Howley),

*Journal of Appalachian Studies,*Spring/Fall 2008.“2009, A Special Year”,

*Ohio Journal of School Mathematics*, Spring 2009.“Cooperation in Mathematics Education”, Letter to the Editor in

*Notices of the American Mathematical Society,*June/July 2010

Instructional Movies and Video Tapes

"Exponents and Radicals"

*CRIMEL Telelesson*, Dept. of Mathematics, The Ohio State University, Columbus, 1972."Functions"

*CRIMEL Telelesson*, Dept. of Mathematics, The Ohio State University, Columbus, 1972.Contributing author and demonstration teacher in the movie, "Design for Excellence" prepared by the Ohio Department of Education, 1981.

"Problem Solving" video tape; Scott, Foresman, 1988.

Contributor for video tape on the NCTM Standards prepared by the Ohio Dept. of Education, 1990.

Acknowledged as a Contributor in

Essentials of Elementary School Mathematics by Larson and Fejfar; Academic Press, 1974.

Introductory Mathematics by Fisher, Riner, Silver, and Waits; Merrill, 1975.

Mathematics Methods Program by LeBlanc, Kerr, and Thompson; Addison Wesley, 1976.

Mathematics for Elementary School Teachers by Kelly and Logothetti; Wadsworth, 1976.

Basic Concepts of Elementary Mathematics by Peterson; Prindle, Weber, and Schmidt, 1976.

Algebra through Applications by Usiskin; University of Chicago, 1976.

Elementary Algebra by Kerr; McGraw-Hill, 1980.

Transition Mathematics by Usiskin; University of Chicago, 1986; and Scott, Foresman, 1990, 1995.

Math Across the Curriculum The Ohio MATH Project; EFA & Associates, 1992.

Introduction to Algebra and Statistics The Ohio MATH Project; EFA & Associates, 1992.

Handbook for Research on Mathematics Teaching and Learning, edited by Douglas Grouws, NCTM 1992.

New Directions: State of Delaware Mathematics Curriculum Framework Vol. 1, 1995.

Advanced Algebra Through Data Exploration by Murdock, Key Curriculum Press, 1998.

TI-73 Graphing Calculator Guidebook Texas Instruments Incorporated, 1998.

Grants

"Comparing Alternatives in the Mathematics Preparation of Elementary School Teachers", National Science Foundation (Co-Director with Joan Leitzel) 1976-78.

"University of North Sumatra", Midwestern Consortium for International Affairs, (Consultant) 1985.

"University of Chicago School Mathematics Project", University of Chicago (Advisory panel and textbook author) 1986-92.

"Leadership Infusion of Technology in Mathematics and its Uses in Society" National Science Foundation, (Co-Principal Investigator with Larry Hatfield, Henry Edwards, and John Olive at the University of Georgia) 1990 – 1993.

"Six Through Eight Mathematics Project", University of Montana (Project evaluation team) 1993-95

"Moving on Mathematically" 1997-1999, Ohio Department of Education (Director)

"Moving on Mathematically Supplement" 1997-2001, Ohio Board of Regents (Director)

“Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics” 2001-2005, National Science Foundation (Co-Principal Investigator, William Bush and Vena Long, et. al.) Subcontract for Research Initiative to Ohio University (Co-director with Craig Howley).

Selected Presentations

International Presentations

Mathematics Club of Surabaya, Indonesia, November 1979 University of Costa Rica, March 1980

International Congress on Mathematical Education, Berkeley, August 1980 Fifth Indonesian Education Project Conference, Copenhagen, July 1982 University of British Columbia, April 1983

International Presentations(cont.)

University of North Sumatra, Indonesia, July-August 1985 (5 talks) Cambridge University, U.K., October 1988

University of Warwick, U.K., November 1988 University of Leicester, U.K., November 1988 University of Edinburgh, U.K., November 1988 Queen's University, Belfast, U.K., November 1988

Shell Centre, University of Nottingham, U.K., November 1988 University of Utrecht, Holland, December 1988

University of Dortmund, West Germany, December 1988 University of Western Ontario, October 1989

IKIP Bandung, Indonesia, August 1990

University of North Sumatra Scientific Conference, Indonesia, August 1990 Nuffield Advanced Mathematics Project, London, U.K., September 1990 Yokohama National University, Japan, April 1992

University of Tsukuba, Japan, April 1992

National Kaohsiung Normal University, Taiwan, April 1992 (5 talks)

Chinese-American Curriculum & Teaching Conference, Taiwan, April 1992 (3 talks) Taiwan Provincial Institute for Elem. School Teachers In-service Education, April 1992 International Congress on Mathematical Education, Quebec, August 1992

Teaching Teachers with Technology International Conference, Salt Lake, January 1995 Teaching Teachers with Technology International Conference, Chicago, January 1999 International Association for Mathematics and Computers in Simulation Conference on

Applications of Computer Algebra, Madrid, Spain 1990

Fourth International Derive (Computer Algebra) Conference, Liverpool, U.K., July 2000 Tsingshua University, Beijing, China, July 2000

Beijing Institute of Education, Beijing, China, July 2000 East China Normal University, Shanghai, China, July 2000

Ninth International Congress on Mathematical Education, Tokyo, Japan, August 2000 Best Practices in Education Workshop, Varna, Bulgaria, August 2000

International Schools Computer Algebra Conference, Vienna, Austria, January 2001

Graphing Calculator / Computer Algebra workshops, Riyadh, Jeddah, Dammam, Saudi Arabia, April 2001 (6 workshops)

Sakarya University sponsored technology presentations, Turkey, May 2001 (6 presentations) Best Practices in Education Workshop, Sinaia, Romania, August 2001

Best Practices in Education Workshop, Sozopol, Bulgaria, August 2002

Vienna International Symposium on Integrating Technology in Mathematics Education, July, 2002.

DSG/NSF Joint Meeting (with Bill Bush and Vena Long), Kiel, Germany, 2003 Technology and its Integration in Mathematics Education, Montreal, July, 2004

University and College Presentations

Approximately 50 presentations, not listed

National Council of Teachers of Mathematics Presentations

Chicago, April 1972 Canton, March 1975

El Paso, February 1976 Boston, November 1976

Cincinnati, April 1977 Louisville, October 1978

Cleveland, October 1979 Seattle, April 1980

Toronto, April 1982 San Antonio, April 1985

Columbus, December 1985 Dallas, February 1986

Washington, April 1986 Little Rock, March 1987

Chicago, April 1988 Helena, March 1989

Honolulu, August 1990 Eugene, March 1992

Boston, April 1995 Baltimore, October 1996

Salt Lake City, February 1997 Atlanta, February 1997 (2 talks)

Milwaukee, October 1997 Cleveland, October 1997

Denver, February 1998 Washington, D. C., April 1998

Hartford, October 1998 Charlotte, February 1999

Pittsburgh, October 1999 Chicago, April 2000

Omaha, October 2000 Yakima, Washington, February 2001

Orlando, April 2001 Las Vegas, April 2002

San Antonio, April 2003 Edmonton, December 2003 Philadelphia, April 2004

National Council of Teachers of Mathematics Research Presession Presentations

San Antonio, April 2003 Anaheim, April 2005

Mathematical Association of America Presentations

Otterbein College, November 1975 San Antonio, January 1987

School Science and Mathematics Association Presentations

Pittsburgh, November 1977 Columbus, November 1981

National Council of Supervisors of Mathematics Presentation

San Diego, April 1996 Orlando, April 2001 (Keynote)

San Antonio, April 2003 Philadelphia, April 2004

American Association for Research in Education Presentation

New Orleans, April 2000

Numerous presentations at state and local conferences Leader of many workshops and presentations for schools

Acting Director, Mathematics MAT Program, University of Chicago, 1974-75 Chairman, Ohio Staters (Math. Education National Alumni Association), 1974-76 Coordinator of a Mini-Conference on Teacher Preparation, 4th International

Congress on Mathematical Education, Berkeley 1980

Reviewer for *Journal for Research in Mathematics Education*, 1981-2005 NCTM Representative for Columbus affiliated group 1981-1985 Columbus and Suburban Mathematics Council Secretary, 1981-82 Columbus and Suburban Mathematics Council President, 1982-83 Reviewer for *Elementary School Journal*, 1983

The Arithmetic Teacher, Teacher Education Advisory Panel, 1983-1984 Judge for 1984 International Science and Engineering Fair

Organizer, Columbus Preconference for Gifted Students, NCTM, 1985 NSF Review Panel Member, Atlanta, 1986

Ohio Department of Education Monographs Committee, 1986

Consultant to Columbus Public Schools General Mathematics Project 1986-87 Board of Directors, Ohio Mathematics Education Leadership Council, 1987-90 Reviewer for *The Arithmetic Teacher*, 1988-1992

Secretary/Treasurer, Ohio Mathematics Education Leadership Council, 1989-90 Reviewer for NCTM *Handbook on Research on Math. Teaching and Learning*, 1989 NSF Review Panel Member, Washington, 1992, 2003

Co-chair of Statistics Working Group, 7th International Congress on Mathematical Education, Quebec, 1992

Co-organizer (with Craig Howley) ACCLAIM Research Symposia 2002, 2003 NCTM Educational Materials Committee member, 1999-2002

NCTM Educational Materials Committee chair, 2000-2002

Co-organizer (with Natalie Jakucyn) USACAS (Computer Algebra) Conference, Chicago 2003, 2004, Atlanta 2005

NCTM Mathematics Teaching in Middle Schools panel member 2004-2006

Reviewer for NCTM *Handbook on Research on Math. Teaching and Learning, Volume 2*, 2005

National Council of Teachers of Mathematics Mathematical Association of American (Life Member) Ohio Council of Teachers of Mathematics

School Science and Mathematics Association (Life Member)

Classroom observations in the U.S. and Canada, England, Scotland, Northern Ireland, Holland, Germany, Indonesia, Costa Rica, Bahamas, Japan, Taiwan, Austria, Turkey, Brazil, Ghana, Tanzania 1969-

Short-term Classroom Teaching Grades K-12, 1972- Instruction via Television, The Ohio State University, 1970-74

Instruction involving computers and calculators (BASIC, Logo, spreadsheets, function graphers, Geometer's Sketchpad, Cabri, computer algebra systems, Blackboard, Smartboard), 1982-

Seminar leader, Nigerian Education Project, at The Ohio State University, 1982

Cited in *Recommendations for the Mathematical Preparation of Teachers*, CUPM, 1983 Distinguished Visiting Scholar, University of North Carolina at Charlotte, 1989

The Plains Elementary School/Ohio University Partnership Program, 1996-2004 Invited participant at the National Algebra Symposium at the National Academy of

Sciences, Washington, D. C., May 1997

Participant and presider for 4th International Conference on Mathematics Education, University of Chicago, August 1998.

Partnership dialog with University of Leipzig, Leipzig, Germany, July 2000 NSF Research Conference, Kiel, Germany, March 2003

Teaching On-line courses, 2003-2005 Director of 7 Ph. D. dissertations 1994-2005