EDUCATION

· Kansas State Teachers College, B.S., 1958, (Social Science and Science)

· Kansas State Teachers College, M.A., 1960, (Mathematics)

· Stanford University, M.S., 1964, (Mathematics)

· University of Notre Dame, M.S., 1965, (Mathematics)

· Stanford University, Ph.D., 1967, (Mathematics Education)

EMPLOYMENT

· Mathematics and biology instructor, Marion City Schools, Marion, Kansas, February, 1958 through June,1960

· Mathematics instructor, Roosevelt Laboratory School (grades 7-12), Kansas State Teachers College, Emporia, Kansas, 1961-1962

· Flexible Scheduling Project and Secondary Education Project, Stanford University, 1962-1964

· School Mathematics Study Group, Stanford University, 1964-1966

· School Mathematics Study Group, Stanford University, Research Associate, 1966-1968. Project Coordinator, SMSG Research and Analysis Section.

· University of Georgia

· Assistant Professor of Mathematics Education, 1968-l969.

· Associate Professor of Mathematics Education, 1969-l979.

(on leave to the National Science Foundation 1974-1975)

· Professor of Mathematics Education, 1979-present.

· Head of the Department of Mathematics Education, 1969-1993.

· Acting Associate Dean for Research, College of Education, 1983-1984.

· Acting Director, Learning and Performance Support Laboratory, 1992-1995.

· National Science Foundation. Program Manager, Materials and Instructional Development Section, Division of Pre-College Education in Science, 1974-1975.

VISITING FACULTY MEMBER

· Saint Michael's College, Winooski, VT, summer 1967

· University of Hawaii, Manoa, summer 1981

· University of Texas at San Antonio, summers 1982, 1984

· East Tennessee State University, Johnson City, summers 1986, 1988

· Southern Illinois University, Carbondale, summers l987, l988

· University of North Carolina at Charlotte, Spring 1988

· Shanghai Normal University, Shanghai, PRC, 1988

SERVICE TO NCTM

· Member of Editorial Board, Journal for Research in Mathematics Education, 1968-1974

· Chair, Research Advisory Subcommittee of the Journal for Research in Mathematics Education, 1970-1973

· Chair, NCTM ad hoc Committee on National Assessment, 197l-1974

· Project Director, NCTM Project on Interpretive Reports from the NAEP Mathematics Assessment, 1973-1976

· Committee Member in charge of Research Sections, NCTM Annual Meeting, 1974

· Editor, Journal for Research in Mathematics Education, 1976-1982

· Member, Board of Directors, National Council of Teachers of Mathematics, 1978-81 (Elected)

· Executive Committee, NCTM Board of Directors, 1978-1981

· NCTM Committee on Mathematics Curriculum for the l980s, l978-l980

· Elections Committee, National Council of Teachers of Mathematics, 1982-1985 (chair, 1984-1985)

· Chair, NCTM Task Force on Testing and Evaluation, 1986-1988

· Candidate for President-Elect, National Council of Teachers of Mathematics, 1990, 1992

· Chair, NCTM Task Force on the 25th Anniversary Year for the Journal for Research in Mathematics Education

· Member, NCTM Standards for Mathematics Assessment writing team. Co-chair of the Principles subgroup. 1993-1995

· Chair, NCTM Task Force on Technology, 1996-1997

· NCTM Committee on Interpretive Reports for TIMMS, 1998-2000

OTHER PROFESSIONAL ACTIVITIES

· Member, SMSG Writing Team for Programmed Instruction, Algebra I, 1961-1962

· Member of SMSG Panel on Research, 1968-1971

· Chair, AERA Special Interest Group for Research in Mathematics Education, 1968-1970. Founder of this SIG group in 1968

· International Association for the Evaluation of Educational Achievement, Ad Hoc Committee on a Second Mathematics Survey, 1974

· Member, Finance Committee of the School Science on Mathematics Association, 1970-1976. Policy Committee 1979-1982

· Member of AERA Committee on Special Interest Groups, 197l-1972

· Member, Board of Directors, School Science and Mathematics Association, 1974-77 (Elected)

· Executive Committee, School Science on Mathematics Association Board of Directors, 1974-1977

· National Science Foundation, Science Education Advisory Committee, l978-l98l.

· Management Committee, Journal of Educational Statistics, 1979-1982

· Evaluation and Research Director, Clemson University Project on Hand Calculators, 1988-1991

· Investigator, Joint U.S. - Japan Study of Mathematical Problem Solving in Schools, (National Science Foundation Project), 1988-1990

· AERA Committee on Use of the Internet, 1998-2001.

· Associate Organizer, Topic Study Group on the Teaching and Learning of Geometry, International Congress on Mathematical Education, Tokyo, Japan, 2000.

• Appointed member, Mathematics Advisory Committee, Knowles Science Teaching Foundation, 2003-present

INVOLVEMENT IN GRADUATE EDUCATION

· Graduate Coordinator, 1969-1993, 1998-2005

· Doctoral Major Professor -- approximately 50

· Doctoral Advisory Committees -- approximately 90

· Ed.S. Advisory Committees -- approximately 40

· M.Ed. Advisor -- regularly

· M.A. Advisor -- 5

SELECTED PUBLICATIONS

· Wilson, J. W., Cahen, L. S., & Begle, E. G. (Eds.) (1968-1972). NLSMA Reports (Nos. 1-33). Stanford, CA: School Mathematics Study Group.

· Wilson, J. W. (1968-1972). NLSMA Reports (Nos. 7, 8, 16, 17, 18). Stanford, CA: School Mathematics Study Group.

· Carry, L. R., & Wilson, J. W. (Eds.) (1969). Reviews of recent research in mathematics education. Studies in mathematics (Vol. XIX). Stanford, CA: School Mathematics Study Group.

· Wilson, J. W. (1971). Evaluation in secondary school mathematics. In B. S. Bloom, J. T. Hastings, & G. F. Madaus (Eds.), Formative and summative evaluation of classroom learning, (Chapter 19). New York: McGraw-Hill.

· Wilson, J. W. (1973). Do standardized tests measure the wrong things? Mathematics Teacher 66(4), 295, 367-370.

· Pikaart, L., & Wilson, J. W. (1972). The research literature. In W. C. Lowry (Ed.), The slow learner in mathematics (Thirty-fifth yearbook of the National Council of Teachers of Mathematics, pp. 26-51). Reston, VA: NCTM.

· Martin, W. H., & Wilson, J. W. (1974). The status of national assessment in mathematics. Arithmetic Teacher 21(1), 49-53.

· Kilpatrick, J., Wirszup, I., Begle, E. G., & Wilson, J. W. (Eds.) (1975). Soviet studies in the psychology of learning and teaching mathematics. (Volumes 7 – 14) (Distributed by the National Council of Teachers of Mathematics.) Stanford, CA: School Mathematics Study Group.

· Wilson, J. W. (1980). One point of view: Aren’t we doing something right? Arithmetic Teacher 27(7), 4-5.

· Wilson, J. W. (1981). Trends in secondary school mathematics. Momentum 12I(4), 20-22.

· Wilson, J. W. (1986). Classroom practice of problem solving in U.S. classrooms. In J. P. Becker & T. Miwa (Eds.), Proceedings of the U.S.-Japan Seminar on Mathematical Problem Solving, Honolulu.

· Buccino, A., & Wilson, J. W. (1987). Instructional processes in the teaching of mathematics. In I. Wirszup & R. Streit (Eds.), Developments in school mathematics education around the world. Reston, VA: National Council of Teachers of Mathematics.

· Wilson, J. W. (1987). Taking mathematics teaching seriously. In Proceedings of the Sino-American Secondary Mathematics Education Seminar. Kaohsiung, R.O.C.: National Kaohsiung Teachers' College.

· Wilson, J. W. (1987) Some reflections on Agenda for Action. In Proceedings of the Sino-American Secondary Mathematics Education Seminar. Kaohsiung, R.O.C.: National Kaohsiung Teachers' College.

· Wilson, J. W. (1988). Evaluation in secondary school mathematics. (In Chinese). Shanghai: Educational Press. [Translation of Wilson (1971)]

· Wilson, J. W., & Kilpatrick, J. (1989). Theoretical issues in the development of calculator-based mathematics tests. In J. W. Kenelly (Ed.), The use of calculators in the standardized testing of mathematics. New York: College Entrance Examination Board.

· Becker, J. P., Silver, E. A., Kantowski, M. G., Travers, K. J., & Wilson, J. W. (1990). Some observation of mathematics teaching in Japanese elementary and junior high schools. The Arithmetic Teacher, 38(2), 12-21.

· Tirosh, D., Tirosh, D., Graeber, A., & Wilson, J. W. (1990). Computer based intervention to correct preservice teachers' misconceptions about the operation of division. Journal of Computers in Mathematics and Science Teaching, 10(2), 71-78.

· Wilson, J. W., & McKillip, W. D., (1990). The University of Georgia geometry and measurement project: A revision of the geometry and measurement strands, K-6. Materials from National Science Foundation Project grant # MDR-8651611. Copies were published in print (1000 copies) and in electronic format (disk files).

· Wilson, J. W., Fernandez, M. L., & Hadaway, N. (1993). Mathematical problem solving. In P. S. Wilson (Ed.), Survey of research in mathematics education: Secondary school (pp. 57-78). Reston, VA: NCTM.

· Abramovich, S., Fujii, T., & Wilson, J. (1994). Exploring and visualizing properties of polygonal numbers in a multiple-application computer-enhanced environment. In G.H. Marks (Ed.), Proceedings of the 1994 International Symposium on Mathematics/Science Education and Technology. Charlottesville, VA: AACE.

· Abramovich, S., Fujii, T., & Wilson, J. (1995). Multiple-application medium for the study of polygonal numbers. Journal of Computers in Mathematics and Science Teaching, 14(4).

· Wilson, J. W. (2003). Development of a mathematics education community: A personal perspective. In G. W. A. Stanic & J. Kilpatrick (Eds.), A history of school mathematics. Reston, VA: National Council of Teachers of Mathematics.

• Lambdin, D. V., & Wilson, J. W. (2001) The Teaching Preparation of Mathematics Educators in Doctoral Programs in

Mathematics Education. In R. E. Reys & J. Kilpatrick (Eds.), One Field, Many Paths: U. S. Doctoral Programs in

Mathematics Education. Providence, RI: American Mathematical Society.

WEB-BASED PUBLICATIONS

• Taking Some Mystery out of the Nine Point Triangle with GSP

http://jwilson.coe.uga.edu/Texts.Folder/NinePtCir/NPC.html

Exploration of the Nine Point Circle as the common circumcircle

of three special triangles and constructing the NPC as the image of

a dilation of ½ of the circumcircle with the orthocenter as the center

of dilation.

· Technology in mathematics teaching and learning.

http://jwilson.coe.uga.edu/Texts.Folder/Tech/Technology.Paper.html

Considerations for using technology, particularly the web, in the mathematics classroom

· A teaching module on rational numbers for prospective elementary teachers. (with D. Tirosh, E. Fischbein, and A. O. Graeber)

http://jwilson.coe.uga.edu/Texts.Folder/Tirosh/Module.html

This teaching module on rational numbers for prospective elementary teachers discusses the main concepts related to rational numbers and operations with rational numbers from various perspectives including mathematical , relevant historical, typical reported difficulties and their causes, and didactics. The module emphasizes the coherence of mathematics, its internal structure and consistency, and discuss these issues in the context of the rational number system. The main topics included in this teaching module are: mathematics and reality, mental models and their impact on mathematical reasoning, the concept of schema, the role of consistency in mathematics, the numerical system, and the rational numbers.

· Equations with roots 2 and 5: A pedagogical exploration with a relation grapher

http://jwilson.coe.uga.edu/EMT725/Roots.2.5/Roots.2.5.html

This paper examines sets of equations that have graphs crossing the x-axis only at 2 and 5.

· Explorations of a problem with two squares.

http://jwilson.coe.uga.edu/squareF/square.html/

This paper explores the ratio of the areas of two squares with one constructed inside the other.

· Problem solving with Heron’s Formula.

http://jwilson.coe.uga.edu/EMT725/Heron/Heron.html

This is a paper on the development and demonstration of Heron's formula for the area of a triangle given the lengths of its three sides.

· An investigation using parametric equations.

http://jwilson.coe.uga.edu/EMT725/RotTri/RotTri.html

This paper examines the movement of triangles when one vertex is moved along the x-axis and another is moved along the y-axis.

· Extended concurrencies of the triangle.

http://jwilson.coe.uga.edu/EMT669/essays/concurrent.html

Paper presented at the 1996 MAA Annual Meeting, Orlando, Florida.

· Envelopes of lines and circles.

http://jwilson.coe.uga.edu/Texts.Folder/Envel/envelopes.html

This paper was constructed for a presentation/demonstration to Elbert County High School Mu Alpha Theta club on March 18, 1997. The paper examines the curves formed by sets of lines or circles that move along some defined paths.

· Trisecting the area of a triangle.

http://jwilson.coe.uga.edu/Texts.Folder/Halftri/trisect.html

This is an investigation of the constructions required to divide the area of a triangle into three regions of equal area, under different initial conditions.

· Curve building.

http://jwilson.coe.uga.edu/Texts.Folder/cb/curve.building.html

When two relations are multiplied, points (x,y) on either will appear on the product graph. Characteristics of the graph are described to tell whether a relation is factorable.

· Travels with an orthocenter.

http://jwilson.coe.uga.edu/Texts.Folder/ortho/Orthotravels.html

What is the locus of the orthocenter when one side of a triangle is fixed and the third vertex is moved along some path?

· The product of two linear functions, each of which is tangent to the product function (with D. Barnes)

http://jwilson.coe.uga.edu/Texts.Folder/tangent/f%28x%29.g%28x%29%3Dh%28x%29.html

Find two linear functions f(x) and g(x) such that the product h(x) = f(x).g(x) is tangent to each of the original lines.

· Exploration of a triangle ratios problem

http://jwilson.coe.uga.edu/Texts.Folder/ratio/ratio.html

Given a triangle ABC and an interior point M, extend a segment from each vertex through M to its intersection with the opposite side creating segments AD, BE, and CF. The exploration will evaluate some ratios of segments within the triangle.

· Some explorations with Lemniscates

http://jwilson.coe.uga.edu/Texts.Folder/Lem/Lemniscates.html

This paper suggests some investigations with the Lemniscate of Bernoulli and the Lemniscate of Gerone.

TEXTBOOK AUTHOR

· Silver Burdett Publishers, author team, college methods textbook, 1974-1976

· American Book Company, author team, K-8 series, 1976-1979

· Invitation to Mathematics. (Elementary Textbook Series), Scott-Foresman Company, author team, 198l-present

FUNDED PROJECTS

· Problem Solving and Instructional Computing in Mathematics, Title II Georgia Plan grant, February 1985 through September 1986, $16,000.

· Geometry and Measurement Research Project, National Science Foundation, Project Director, $551,907, September 1986 through December 1989.

· Problem Solving and Instructional Computing in Mathematics, Title II Georgia Plan grant, February 1987 through September 1988, $16,000.

· Mathematical Problem Solving: A Problem Resource Book, Title II Georgia Plan grant, February 1987 through September 1989, $5000.

· Problem Solving and Instructional Computing in Mathematics, Title II Georgia Plan grant, February 1988 through September 1989, $16,000.

· Instructional Computing, LOGO Microworlds, and School Mathematics, Title II Georgia Plan grant, February 1988 through September 1989, $16,000.

· History of Mathematics: A Course Guide, Title II Georgia Plan grant, February 1988 through September 1990, $5000.

· Problem Solving and Instructional Computing in Mathematics, Title II Georgia Plan grant, February 1989 through September 1990, $16,000.

· U.S. - Japan Seminar on Mathematical Problem Solving, National Science Foundation, $95,000, July 1989-January 1991, Southern Illinois University. Matching funds for Japanese participation from the Japanese government. Dr. Wilson had a University of Georgia subcontract for $18,000.

· Problem Solving and Instructional Computing in Mathematics, Eisenhower Grant, March 1990 - September 1991, $l6,000.

· Mathematical Problem Solving: A Problem Resource Using Hypercard, Eisenhower Grant, March 1990 through September 199l, $5000.

· A Study of Mathematics Problem Solving in Georgia, Eisenhower Grant, March 1990 through September 1992, $29,250.

· Calculator videotapes for Mathematics Teachers, National Science Foundation, Texas Instruments, Mesquite Independent School District, and the Fort Worth Independent School District, $1,247,913, April 1990-April 1994, Mathematics Association of America. Dr. Wilson had responsibility for the evaluation aspects of the project.

· Conceptual Adjustment in Progressing from Whole to Rational Numbers, U.S.-Israeli Binational Science Foundation, September 1991-August 1992, University of Tel Aviv, University of Georgia, and University of Maryland. Continuation award for a new study, 1993-1998.

· Mathematical Investigations with Function Graphers, Geometry Software, Graphing Calculators, and Spreadsheets, Eisenhower Grant, March 1991 through September 1992, $5,000.

· Mathematics Content and Instruction for Middle School Teachers, Eisenhower Grant, March 1991 through September 1993, $54,584.

· Alternative Certification of Secondary and Middle Grades Science and Mathematics Teachers, Eisenhower Grant, March 1991 through September 1993, $30,000 (with Michael Padilla).

· Learning and Performance and Support Laboratory. Georgia Research Alliance. July 1992 through June 1997, $1.1M.

· Learning and Performance and Support Laboratory. Georgia Research Alliance. July 1993 through June 1994, $1.2M.

· InterMath. Eisenhower Plan Grant, September 1997 through August 1998, $57,962. (With M. Hannafin, LPSL)

· Interactive Mathematics Dictionary for Middle School. Eisenhower Plan Grant, March 1998 through August 1999. $ 23,500.

· InterMath: Technology and the Teaching of Middle School Mathematics, National Science Foundation, Project Director, $691,963, July 1999 through June 2004. (With M. Hannafin, LPSL, and P. Ohme, GaTech)