PUBLISHED ARTICLES

A4. Transformations in High School Geometry - A History

a. Points and Angles, the newsletter of the Men's Mathematics Club of Chicago and Metropolitan Area, 4:1 (May 1970), 1, 3-8; 4:2 (October 1970)1, 3-8

b. revised version as "Transformations in High School Geometry before 1970", The Mathematics Teacher 67:4 (April 1974), 353-360.

c. abstracted in Historia Mathematica 1 (1974), p. 351

d. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 303-310

A5. (with R.W. Freese and Ann K. Miller, St. Louis University)

Can Every Triangle Be Divided Into n Triangles Similar To It?, American Mathematical Monthly 77:8 (October 1970), 867-869.

A6. Two Preference Paradoxes

a. Illinois Council of Teachers of Mathematics Newsletter 22:1 (March 1971), 13-14

b. revised version in The Mathematics Teacher 67:6 (October 1974), 515-518.

c. reprinted in Applications of Secondary School Mathematics – Readings from the Mathematics Teacher (Reston, VA: NCTM, 1991)

A7. (with Max Bell, University of Chicago) Improving Mathematics for All Students

a. School Review 79:3 (May 1971), 433-440.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 2-6

A8. (with Arthur F. Coxford, Jr., University of Michigan) A Transformation Approach to Tenth–Grade Geometry

a. The Mathematics Teacher 65:1 (January 1972), 21-30.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 292-302

A9. (with Stanley J. Wayment, Utah State University)

Partitioning a Triangle into 5 Triangles Similar To It, Mathematics Magazine 45:1 (January 1972), 37-42.

A10. Some Remarks on the Symbol .99999..., Illinois Council of Teachers of Mathematics Newsletter (March 1972)

A11. The Effects of Teaching Euclidean Geometry via Transformations on Student Achievement and Attitudes in Tenth–Grade Geometry, Journal for Research in Mathematics Education 3:4 (November 1972), 249-259.

A12. Perfect Square Patterns in the Pascal Triangle, Mathematics Magazine 46:4 (September 1973), 203-208.

A13. (with Richard F. Marr, Rolling Meadows H.S.)

Similarity and Some Area Formulas, Illinois Mathematics Teacher (October 1973)

A14. The Case for Transformations in High School Geometry

a. Texas Mathematics Teacher (March 1974) 4-6.

b. reprinted in New York State Mathematics Teachers' Journal 25:1 (January 1975), 37-42.

c. revised version in the Ontario Mathematics Gazette (December 1978)

d. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 311-316

A15. Some Corresponding Properties of Real Numbers and Implications for Teaching, Educational Studies in Mathematics 5 (May 1974), 279-290.

A16. Applications of Groups and Isomorphic Groups to Topics in the Standard Curriculum, Grades 9-11

⦁ Part I, The Mathematics Teacher 68:2 (February 1975), 99-106; see https://www.msri.org/attachments/workshops/454/Usiskin-Application%20of%20Groups%20I.pdf

Part II, 68:3 (March 1975), 235-246.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 226-248

A17. Graphing Pythagorean Triples, Illinois Mathematics Teacher (March 1975)

A18. First and Second Year Algebra - Should They Have the Same Orientation?

a. Virginia Mathematics Teacher (October 1977)

b. reprinted in the West Virginia CTM Newsletter 3:2 (December 1977), 2-8.

A19. The Mathematically Gifted and the Curriculum, Illinois Council for the Gifted Newsletter (Fall 1977)

A20. The Greatest Integer Symbol - An Applications Approach

a. The Mathematics Teacher 70:9 (December 1977), 739-743.

b. reprinted in Applications of Secondary School Mathematics – Readings from the Mathematics Teacher (Reston, VA: NCTM, 1991)

A21. Are Calculators a Crutch?

a. The Mathematics Teacher 71:5 (May 1978), 412-413.

b. reprinted in Calculators: Readings from the Arithmetic Teacher and the Mathematics Teacher, edited by Bruce Burt (Reston, VA: NCTM, 1979)

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 408-409

A22. (with Adam Stephanides, undergraduate student, The University of Chicago)

Magic Triangular Regions of Order 4 and 5, Journal of Recreational Mathematics (Winter 1978–79)

A23. The Future of Fractions

a. Arithmetic Teacher 27:5 (January 1979), 18-20.

b. reprinted in Mathematics Teaching in the Middle School 12:7 (March 2007), 366-369.

A24. An Applications Approach to Beginning Algebra

a. Oregon Mathematics Teacher (October–November 1979)

b. reprinted under the title "Beginning Algebra - An Applications Approach" in Illinois Mathematics Teacher 31:2 (March 1980), 8-15.

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 249-255

A25. Products of Sines, Two–Year College Mathematics Journal 10:5 (November 1979), 334-340.

A26. Applications in Algebra and Geometry, Chapter 3 in Applications of Mathematics, the 1979 Yearbook of the National Council of Teachers of Mathematics, edited by Sidney Sharron and Robert E. Reys (Reston, VA: NCTM, 1979), 20-30.

A27. What Should Not Be In the Algebra and Geometry Curricula of Average Students?

a. The Mathematics Teacher 73:6 (September 1980), 413-424.

b. reprinted in condensed form in The Education Digest 46:3 (November 1980), 50-53.

c. one of four articles reprinted for the Seventy-Fifth-Anniversary Retrospective of the National Council of Teachers of Mathematics in The Mathematics Teacher 88:2 (February 1995), 156-164.

⦁ reprinted in abridged form as “What Should Not Be in the Algebra Curriculum of Average College-Bound Students”, Algebraic Thinking, Grades K-12, edited by Barbara Moses (Reston, VA: NCTM, 1999), 76-81.

⦁ reprinted in “100 Years of Mathematics Teacher”. Mathematics Teacher Special Issue, volume 100 (January 2007), 68-77. (see also article 96)

⦁ reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 109-121

A28. Decision–Making in Mathematics Education, in Teaching Teachers, Teaching Students, L.A. Steen and D.J. Albers, editors (Boston: Birkhaüser, 1981), 43-55.

A29. (with Sharon Senk) Geometry Proof-Writing: A New View of Sex Differences in Mathematics Ability, American Journal of Education 91:2 (February 1983), 187-201.

A30. Policy Implications of Problem Solving and Mathematics Learning, The School Administrator (January 1983) (rewrite by William Spady of "Problem Solving and Mathematics Learning: Implications for Curriculum Policy", paper presented at the American Association of School Administrators Summer Instructional Leadership Conference, July 1981)

A31. Enrichment Activities for Geometry, The Mathematics Teacher 76:4 (April 1983), 264-266.

A32. (One Point of View) Arithmetic in a Calculator Age, Arithmetic Teacher 30:9 (May 1983), 2.

A33. What Should Be Dropped from the Secondary School Mathematics Curriculum?, in Proceedings of the Fourth International Congress on Mathematical Education, Marilyn Zweng et al., editors (Boston: Birkhaüser, 1983)

A34. (Soundoff) Mathematics is Getting Easier, The Mathematics Teacher 77:2 (February 1984), 82-83.

A35. (with Max S. Bell, The University of Chicago)

Ten Often Ignored Rational Number Application Concepts, Arithmetic Teacher 31:6 (February 1984), 48-50.

A35.5. Needed Changes in Mathematics Curricula. In School Mathematics: Options for the 1990s, Vol. 2, proceedings of a conference edited by Thomas A. Romberg and Deborah M. Stewart. Reston, VA: NCTM, June 1984.

A36. We Need Another Revolution in Secondary School Mathematics

a. Chapter 1 in The Secondary School Mathematics Curriculum, the 1985 Yearbook of the National Council of Teachers of Mathematics, edited by Christian R. Hirsch and Marilyn J. Zweng (Reston, VA: NCTM, 1985)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 129-146

A37. What Constitutes an Integrated Curriculum?, New York State Mathematics Teachers' Journal (January 1985)

A38. We Are Not Behind the World, American Perspectives on the Fifth International Congress on Mathematical Education (ICME 5), MAA Notes Number 5 (Washington DC: Mathematical Association of American, 1985)

A39. Mathematical Applications: Secondary Schools, in The International Encyclopedia of Education (Oxford, England: Pergamon Press, 1985)

A40. Reasons for Estimating

a. In Estimation, Approximation, and Mental Computation, the 1986 Yearbook of the National Council of Teachers of Mathematics (Reston, VA: NCTM, 1986)

b. Chinese translation by Huang Ming-Huang in Science Education Today , Taiwan (October 1986)

A41. A Pretrigonometry Proof of the Reflection Property of the Ellipse, The College Mathematics Journal (November 1986)

A42. The UCSMP: Translating Grades 7-12 Mathematics Recommendations into Reality

a. Educational Leadership 44:4 (December 1986/January 1987) 30-35.

b. available also from the Association for Supervision and Curriculum Development as an audio tape

c. reprinted in Phi Delta Kappa's Exemplary Practice Series: Mathematics (September 1987)

A43. Resolving the Continuing Dilemmas in School Geometry

a. Chapter 2 in Learning and Teaching Geometry, K-12, the 1987 Yearbook of the National Council of Teachers of Mathematics, edited by Mary Montgomery Lindquist and Albert P. Shulte (Reston, VA: NCTM, 1987)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 317-328

A44. Some Lessons Learned from the First Eighteen Months of the Secondary Component of UCSMP, in Developments in School Mathematics Around the World, Proceedings of the UCSMP International Conference on Mathematics Education (Reston, VA: NCTM, 1987)

A45. Why Elementary Algebra Can, Should, and Must Be an 8th Grade Course for Average Students

⦁ Mathematics Teacher 80:6 (September 1987), 428-438.

⦁ reprinted in Algebraic Thinking, Grades K-12, edited by Barbara Moses (Reston, VA: NCTM, 1999), 40-48.

⦁ reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 256-266

A46. Secondary School Mathematics in the United States: Past, Present, and Future, in Proceedings of Sino-American Secondary Mathematics Education Seminar/Workshop, National Kaohsiung Teachers' College, Kaohsiung, Taiwan, ROC (January 1988)

A47. Conceptions of School Algebra and Uses of Variables

⦁ in The Ideas of Algebra, K-12, the 1988 Yearbook of the National Council of Teachers of Mathematics (Reston, VA: NCTM, 1988) See https://www.msri.org/attachments/workshops/454/Usiskin-Conceptions%20of%20School%20Algebra.pdf .

⦁ reprinted in Algebraic Thinking, Grades K-12, edited by Barbara Moses (Reston, VA: NCTM, 1999), 7-13. See https://atcm.mathandtech.org/EP/2004/2004S332/fullpaper.pdf .

⦁ reprinted in Defining Mathematics Education – Presidential Yearbook Selections 1926-2012, the Seventy-Fifth Yearbook of the National Council of Teachers of Mathematics, edited by Frances (Skip) Fennell and William R. Speer (Reston, VA: NCTM, 2013).

⦁ reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 267-276

A48. The Beliefs Underlying UCSMP

(original in UCSMP Newsletter No. 2 (Winter, 1988))

a. variant in Developments in School Mathematics Around the World, Proceedings of the 2nd UCSMP International Conference on Mathematics Education (Reston, VA: NCTM, 1990)

b. abridged version in The Elementary Mathematician (Winter, 1988)

A49. The Sequencing of Applications and Modelling in the University of Chicago School Mathematics Project (UCSMP) 7-12 Curriculum, Chapter 26 of Applications and Modelling in Learning and Teaching Mathematics, edited by W. Blum, J.S. Berry, R. Biehler, J.D. Huntley, G. Kaiser-Messmer, and L. Profke (London: Ellis Horwood, Ltd., 1989)

A50. The Fundamental Problems in Implementing Curricular Change, and How to Overcome Them, AMP Line, quarterly newsletter of the American Mathematics Project (Fall 1989)

A51. Visions of the Future, National Council of Supervisors of Mathematics Newsletter (October 1989)

A52. The University of Chicago School Mathematics Project (UCSMP): Preparing Teachers and Students for the Present, Excerpts of Proceedings from the Fourth Annual Conference sponsored by the Texas Higher Education Coordinating Board (January, 1989)

A53. (with Sharon Senk, Michigan State University)

Evaluating a Test of van Hiele Levels: A Response to Crowley and Wilson, Journal for Research in Mathematics Education 21:3 (May 1990), 242-245.

A54. Building Mathematics Curricula with Applications and Modelling

a. Chapter 3 of Teaching of Mathematical Modelling and Applications, edited by M. Niss, W. Blum, and I. Huntley (London: Ellis Horwood, Ltd., 1991)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 347-357

A55. Competition and Cooperation in School Mathematics, in Developments in School Mathematics Around the World, Proceedings of the 3rd UCSMP International Conference on Mathematics Education (Reston, VA: NCTM, 1992)

A56. Glimpses of ICME-7, For the Learning of Mathematics 12:3 (November 1992), 19-24. See https://flm-journal.org/Articles/592179E8471469D2F42A1A1375F4CF.pdf .

A57. Lessons Learned from the University of Chicago School Mathematics Project, Educational Leadership 50:8 (May 1993),14-18.

A58. If Everybody Counts, Why Do So Few Survive?

a. Chapter 2 in Reaching All Students with Mathematics, edited by Mark Driscoll (Reston, VA: NCTM, 1993)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 7-18

A59. Conceptions of Mathematical Modelling and Their Implications for the Future, in Teaching and Learning Mathematics in Context, edited by T. Breiteig, I. Huntley, and G. Kaiser-Messmer (New York: Ellis Horwood, 1993)

A60. From "Mathematics for Some" to "Mathematics for All"

a. In Didactics of Mathematics as a Scientific Discipline, edited by R. Biehler, R.W. Scholz, R. Sträßer, and B. Winkelmann (Dordrecht, Netherlands: Kluwer Publ., 1994)

b. also in Selected Lectures from the 7th International Congress on Mathematical Education, edited by David F. Robitaille, David H. Wheeler, and Carolyn Kieran (Sainte-Foy, QUE: Les Presses de L'Université Laval, 1994)

c. abstracted in Proceedings of the 7th International Congress on Mathematical Education (Sainte-Foy, QUE: Les Presses de L'Université Laval, 1994)

d. shortened version "Algebra for All?" in Mathematics Teaching 1995 Conference Report (Edinburgh, Scotland: University of Edinburgh, 1996)

e. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 19-28

A61. Recent Developments in Secondary School Mathematics, and Their Implications

a. in Preparing for a New Calculus, edited by Anita Solow, MAA Notes #36 (Washington, DC: Mathematical Assoociation of America, 1994)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 147-155

A62. What Changes Should Be Made for the Second Edition of the NCTM Standards? Humanistic Mathematics Network Journal 10 (August 1994), 31-38.

A63. Individual Differences in the Teaching and Learning of Mathematics, Teaching Thinking and Problem Solving, bimonthly newsletter of Research for Better Schools, Philadelphia (Part I, Volume 16, Issue 3, 1994; Part II, Volume 16, Issue 4, 1994)

A64. Why Is Algebra Important To Learn?

⦁ American Educator 19:1 (Spring 1995), 30-37, 46. See https://www.garnermath.com/downloads/Usiskin_Why-is-Algebra-Important.pdf .

⦁ reprinted in Algebraic Thinking, Grades K-12, edited by Barbara Moses (Reston, VA: NCTM, 1999), 22-30.

⦁ reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 277-289

A65. Thoughts Preceding the Algebra Colloquium, in The Algebra Initiative Colloquium, Volume 2, edited by Carole B. Lacampagne, William Blair, and Jim Kaput (Washington, DC: U.S. Department of Education, May 1995).

A66. Stages of Change

a. NCSM Newsletter, Vol. XXIV, No. 4 (July 1995)

b. reprinted in variant form along with #50 for the NSF Local Systemic Change Projects PI meeting 22 Jan 1999 (on line at <http://lsc-net.terc.edu/do.cfm/conference_material/6857/show/use_set-oth_conf_arch/page-1>)

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 156-165

A67. (with Daniel Hirschhorn, Denisse Thompson, and Sharon Senk) Rethinking the First Two Years of High School Mathematics: The University of Chicago School Mathematics Project, Mathematics Teacher 88:8 (November 1995), 640-647

A68. The Training of Teachers in New Curricula, in Proceedings of the ICMI-China Regional Conference on Mathematical Education, edited by Lee Peng Yee, Jerry Becker, John Mack, and Dianzhou Zhang, Shanghai: Shanghai Educational Publishing House, 1995

A69. (with Zu Chenghou) Middle Secondary School Teacher Preparation, in Proceedings of the ICMI-China Regional Conference on Mathematical Education, edited by Lee Peng Yee, Jerry Becker, John Mack, and Dianzhou Zhang, Shanghai: Shanghai Educational Publishing House, 1995

A70. Mathematics as a Language

⦁ Chapter 28 in Communication in Mathematics, K-12 and Beyond, the 1996 Yearbook of the National Council of Teachers of Mathematics, edited by Portia C. Elliott and Margaret J. Kenney (Reston, VA: NCTM, 1996)

⦁ Polish translation, Matematyka jako je’zyk, in Nauczyciele i Matematyki + Technologia Informacyjna, Autumn 2009, pp. 21-29.

⦁ reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 29-38

A71. Algebra and Calculus for All?

a. Illinois Mathematics Teacher (September 1996)

b. also in Journal of Mathematics and Science: Collaborative Explorations (Spring 1999)

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 39-50

A72. Le direzioni del cambiamento, Lettera Pristem (December 1996), 37-43. Translation of unpublished paper, “Directions of Change in Secondary Mathematics Education, and the Difficulties They Spawn”, presented in TSG-13 at the 8th International Congress on Mathematical Education, July 1996

A73. Doing Algebra in Grades K-4

⦁ Teaching Children Mathematics 3 (6) (February 1997), 346-356

⦁ abridged version in Algebraic Thinking, Grades K-12, edited by Barbara Moses (Reston, VA: NCTM, 1999), 5-6

⦁ Hebrew translation at http://mathcenter-k6.haifa.ac.il/articles(pdf)/article41.pdf

A74. The Implications of "Geometry for All"

a. Mathematics Education Leadership 1:3 (October 1997), 5-14

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 51-61

A75. Applications in the Secondary School Mathematics Curriculum: A Generation of Change

a. American Journal of Education 106:1 (November 1997), 62-84.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 358-374

A76. On the Relationships between Mathematics and Science in Schools

a. Journal of Mathematics and Science: Collaborative Explorations 1: 9-25 (Fall 1997)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 375-385

A77. Paper and Pencil Algorithms in a Calculator/Computer Age

a. Chapter 2 in Algorithms in School Mathematics, edited by Lorna J. Morrow and Margaret J. Kenney, the 1998 Yearbook of the National Council of Teachers of Mathematics (Reston, VA: NCTM, 1998)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 410-421

A78. Fitting Tasks to Curriculum, in High School Mathematics at Work (Washington, DC: National Research Council, 1998)

A79. Teaching Applications of Mathematics – A K-12 Perspective, in Ideas & Resources for Teachers of Mathematics, 9th Edition, edited by Mike Fulton (Saskatoon, Saskatchewan: Saskatchewan Teachers' Federation, January 1999)

A80. The Mathematically Promising and the Mathematically Gifted

a. Chapter 5 in Developing Mathematically Promising Students, edited by Linda Jensen Sheffield (Reston, VA: NCTM, 1999)

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 62-72

A81. Is There a World-Wide Mathematics Curriculum?

a. Developments in School Mathematics Around the World, Proceedings of the 4th UCSMP International Conference on Mathematics Education (Reston, VA: NCTM, 1999), 213-227.

b. also in delta-K, journal of the Mathematics Council of the Alberta (CAN) Teachers’ Association 38:2 (May 2001), 35-44.

A82. The Development into the Mathematically Talented

a. Journal of Secondary Gifted Education 11:3 (Spring 2000), 152-162.

b. also in 2001: A Mathematical Odyssey: Teaching-Learning-Curriculum, Proceedings of the NCTM Eastern Regional Conference, edited by R.F. Cunningham and E. Milou (Somerset, NJ: Association of Teachers of Mathematics of New Jersey, 2002)

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 73-84

A83. Quantitative Literacy for the Next Generation of Adults, in Mathematics and Democracy: The Case for Quantitative Literacy, edited by Lynn Arthur Steen (Princeton, NJ: National Council on Education and the Disciplines, 2001)

A84. University of Chicago School Mathematics Project, in Encyclopedia of Mathematics Education, edited by Louise S. Grinstein and Sally I. Lipsey (New York: RoutledgeFalmer, 2001).

A85. Educating the Public About School Mathematics

a. Humanistic Mathematics Network Journal 24 (May 2001), 26-34 (reviewed in The College Mathematics Journal 33: 1 (January 2002), 66-67). See also N14.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 85-96

A86. Teachers’ Mathematics: A Collection of Content Deserving To Be a Field

a. in Proceedings of the National Summit on the Mathematical Education of Teachers (Washington, DC: Conference Board of the Mathematical Sciences, http://www.cbmsweb.org/NationalSummit/WG_Speakers/usiskin.pdf).

b. in The Mathematics Educator (Singapore) 6:1 (2001), 85-98.

c. short version, as What Mathematics Do Teachers Need That They Are Likely not to Encounter in Their Mathematics Courses?, in Studying Classroom Teaching as a Medium for Professional Development, edited by Hyman Bass, Gail Burrill, and Zalman Usiskin. Proceedings of a Workshop. Washington, DC: National Academy Press, 2002.

d. on line at http://www.maa.org/cbms/NationalSummit/Speakers/Usiskin/htm .

e. on CD-ROM, "Mathematics Teacher Preparation in Appalachia – Mathematics Content". Huntington, WV: ACCLAIM (Appalachian Collaborative Center for Learning, Assessment, and Instruction in Mathematics, August 8-9, 2003.

A87. Mathematics Teacher Education in Grades 7-12 the United States. In Studying Classroom Teaching as a Medium for Professional Development, edited by Hyman Bass, Gail Burrill, and Zalman Usiskin. Proceedings of a Workshop. Washington, DC: National Academy Press, 2002.

A88. Teachers Need a Special Type of Content Knowledge

a. in ENC [Eisenhower National Clearinghouse] Focus, May 2002.

b. reprinted in News You Can Use, The CPM [College Preparatory Mathematics] Educational Program Newsletter, November 2002.

c. abridged version in Northern Nevada Mathematics Association Newsletter (2003).

A89. The Integration of the School Mathematics Curriculum in the United States – History and Meaning

a. in Integrated Mathematics: Choices and Challenges, edited by Sue Ann McGraw (Reston, VA: NCTM, 2003), pp. 13-31.

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 166-178

A90. A Personal History of the UCSMP Secondary Curriculum, Chapter 17 in A History of School Mathematics, edited by George M.A. Stanic and Jeremy Kilpatrick (Reston, VA: NCTM, 2003), pp. 673-736.

A91. Next Steps in High School Mathematics Teacher Development. In Next Steps in Mathematics Teacher Development, Grades 9-12, edited by Solomon Garfunkel, Carole Lacampagne, and Vicki Stohl. Washington, DC: National Academy Press (2003).

A92. Should All Students Learn a Significant Amount of Algebra?

a. as “A Significant Amount of Algebra”, in Nieuw Archief voor Wiskunde (Netherlands), 5/5 No. 2 (June 2004), pp. 147-151. See http://www.nieuwarchief.nl/serie5/pdf/naw5-2004-05-2-147.pdf .

⦁ in Developing Students’ Algebraic Reasoning Abilities, edited by Carole Greenes and Carol Findell. National Council of Supervisors of Mathematics Monograph Series, Volume 3, pp. 4-16 (2005).

⦁ in Secondary Lenses on Learning: Team Leadership for Mathematics in Middle and High Schools, Catherine Miles Grant, Valerie L. Mills, Mary Bouck, and Ellen Davidson,with Barbara Scott Nelson and Steve Benson (eds.) Thousand Oaks, CA: Corwin Press (2009).

A93. A K-12 Mathematics Curriculum with CAS: What Is It and What Would It Take To Get It? In Proceedings of the 9th Asian Technology Conference in Mathematics, edited by Wei-Chi Yang, Sung-Chi Chu, Tilak de Alwis, and Keng-Cheng Ang. Blacksburg, VA: ATCM, Inc. (December 2004), pp. 5-16. See

https://atcm.mathandtech.org/EP/2004/2004S332/fullpaper.pdf .

A94. What We Can Learn about Teaching and Learning Mathematics through U.S.-Japan Collaboration? U.S. – Japan Panel Discussion, in Learning Across Boundaries: U.S.-Japan Collaboration in Mathematics, Science and Technology Education, proceedings from conferences in San Francisco, March 2003, and Chicago, May 2005.

A95. TSG 1: The Teaching and Learning of Algebra. In Proceedings of The Ninth International Congress on Mathematical Education, edited by Hiroshi Fujita, Yoshihiko Hashimoto, Bernard R. Hodgson, Peng Yee Lee, Stephen Lerman, and Toshio Sawada. Tokyo: Research Institute of Mathematics Education, Tokyo University of Science, 2005, pp. 297-300.

A96. High School Overview and the Transition to College. In A Fresh Start for Collegiate Mathematics: Rethinking the Courses below Calculus, MAA Notes #69, edited by Nancy Baxter Hastings. Washington, DC: Mathematical Association of America, 2006).

A97. What Should Not Be in the Algebra and Geometry Curricula of Average College-Bound Students? – A Retrospective after a Quarter Century. Mathematics Teacher Special Issue, volume 100 (2007), pp. 68-77. (see also A27)

A98. Some Thoughts About Fractions. Mathematics Teaching in the Middle School. 12:7 (March 2007), 370-373. (see also article 23)

A99. The Arithmetic Operations as Mathematical Models

a. in Modelling and Applications in Mathematics Education, ICMI Study No. 14, edited bv Werner Blum, Peter L. Galbraith, Hans-Wolfgang Henn and Mogens Niss. New York: Springer, 2007, pp. 257-264.

b. slightly revised form, as The Arithmetic Curriculum and the Real World, in Research and Development in the Teaching and Learning of Number Systems and Arithmetic, Proceeedings of ICME-11 Topic Study Group 10, edited by Dirk De Bock, Bettina Dahl Søndergaard, Bernardo Gómez Alfonso, and Chun Chor Litwin Cheng. Leuven, Belgium: the editors, 2008.

c. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 386-391.

A100. The Case of the University of Chicago School Mathematics Project – Secondary Component. In Perspectives on the Design and Development of School Mathematics Curricula, edited by Christian R. Hirsch. Reston, VA: National Council of Teachers of Mathematics, 2007, pp. 173-182.

A101. DG 1: Issues, movements, and processes in mathematics education reform. In Proceedings of the 10th International Congress on Mathematical Education, edited by Mogens Niss. Roskilde, Denmark: Roskilde University, 2008, pp. 426-428.

A102. Do We Need Math Standards with Teeth? Educational Leadership 65:3 (November 2007), pp. 38-42.

A103. Grades 7-12 Learning Progressions in Mathematics Content. In Proceedings of the APEC Conference on Replicating Exemplary Practices in Mathematics Education, Koh Samui, Thailand (March 2010). https://www.apec.org/docs/default-source/Publications/2010/7/Replicating-Exemplary-Practices-in-Mathematics-Education-among-APEC-Economies-July-2010/TOC/Zalman-Usiskin--Grades-7-12-Learning-Progression-in-Mathematics-Content.pdf

A104. The Current State of the School Mathematics Curriculum

a. in Mathematics Curriculum: Issues, Trends, and Future Directions, the 72nd Yearbook of the National Council of Teachers of Mathematics, edited by Barbara J. Reys and Robert E. Reys. Reston, VA: National Council of Teachers of Mathematics (Reston, VA: NCTM, 2010).

b. reprinted in We Need Another Revolution: Five Decades of Curriculum Papers by Zalman Usiskin. Reston, VA: NCTM, 2014, 201-211.

A105. Reflections from a Retiring Mathematics Curriculum Developer. In Future Curricular Trends in School Algebra and Geometry: Proceedings of a Conference, edited by Zalman Usiskin, Kathleen Andersen, and Nicole Zotto. Charlotte, NC: Information Age Publishing, 2010, pp. 305-312.

A106. Interview with Zalman Usiskin.

a. The International Journal for the History of Mathematics Education. Vol. 6, No. 1 (2011), pp. 39-52.

b. in Leaders in Mathematics Education: Experience and Vision. Rotterdam: Sense Publishers (2014).

A107. Misidentifying the Reasons for Singapore’s High Test Scores. Mathematics Teacher Vol. 105, No. 9 (May 2012), pp. 666-671.

A108. Studying Textbooks in an Information Age – A United States Perspective. ZDM Mathematics Education DOI 45:713 – 723; 10.1007/s11858-013-0514-6 (September 2013).

A109. What Does It Mean to Understand Some Mathematics?

a. Selected Regular Lectures from the 12th International Congress on Mathematical Education, edited by Cho Sung Je. Springer (2015), pp. 821-842. https://www.mathunion.org/fileadmin/ICMI/Conferences/ICME/ICME12/www.icme12.org/upload/submission/1881_F.pdf

b. slightly modified form in Rekenen-wiskunde op niveau, edited by M. van Zanten. Utrecht, Netherlands: FISME, 2013.

A110. Forty-Eight Years of International Comparisons in Mathematics Education from a United States Perspective: What Have We Learned? In Mathematics Curriculum in School Education, edited by Yeping Li and Glenda Lappan. Dordrecht, Holland: Springer, 2014, pp. 581-606.

A111. Mathematics and Mathematics Education: Two Quite Different Perspectives on the Same Subject. In Reflections on Policy, Chapter 16 in Mathematics & Mathematics Education: Searching for Common Ground, Michael N. Fried & Tommy Dreyfus (Eds.), pp. 289-293. New York: Springer, 2014.

A112. Postscript. In Enacted Mathematics Curriculum, Denisse Thompson and Zalman Usiskin (eds.). Charlotte, NC: Information Age Publishing, 2014, pp. 177-180.

A113. (with Jim Fey, Sol Garfunkel, Diane Briars, Andy Isaacs, Henry Pollak, Eric Robinson, Richard Scheaffer, Alan Schoenfeld, Cathy Seeley, and Dan Teague) The Future of High School Mathematics. a. Mathematics Teacher Vol. 107, No. 7 (March 2014), pp. 488-490.

b. in The Best Writing on Mathematics 2015. Princeton, NJ: Princeton U. Press, pp. 181-186.

A114. Performance with Fractions: A Demonstration of Cultural Differences within the United States and Overseas, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 97-105

A115. Motivation and the Sequencing of Mathematics Content, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 122-128.

A116. The Importance of the Transition Years, Grades 7-10, in School Mathematics, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 179-189.

A117. (with Barbara J. Reys, University of Missouri, and John P. Smith, Michigan State University)

Setting the Record Straight: An Examination of the Curriculum Recommendations of the National Mathematics Advisory Panel Report, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 190-200.

A118. Unpacking Mathematical Understanding in the Common Core, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 212-224.

A119. The Shape of Geometry and the Geometry of Shape, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 329-344.

A120. Mathematical Modeling in the Curriculum, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 392-406.

A121. The Ethics of Using Advanced Technologies in a CCSSM Environment, in We Need Another Revolution: Five Decades of Mathematics Curriculum Papers by Zalman Usiskin. Barbara Reys and Robert Reys, editors. Reston, VA: NCTM, 2014, 422-437.

A122. Development and Features of the UCSMP Curriculum for Grades 6-12. In Proceedings of the International Forum on Mathematics Textbooks, Seoul National University, Korea, December 2014, pp. 95-113.

A123. Transformations in U.S. Commercial High School Geometry Textbooks Since 1960: A Brief Report. In Proceedings of the International Conference on Mathematics Textbook Research and Development (ICTM-2014), Keith Jones, Christian Bokhove, Geoffrey Howson and Lianghuo Fan (Eds.). Southampton: University of Southampton, pp. 471-476, 2014. Available for download at http://eprints.soton.ac.uk/374809.

A124. Mathematical Modeling and Pure Mathematics. Mathematics Teaching in the Middle School, 20:8 (April 2015), pp. 476-483.

A125. The Relationships Between Statistics and Other Subjects in the K-12 Curriculum. Chance, 28:3 (2015). Also on line at http://chance.amstat.org/2015/09/28-3-editors-letter/

A126. Closing Remarks. In Digital Curricula in School Mathematics. Meg Bates and Zalman Usiskin, editors. Charlotte, NC: Information Age Publishing, 2016, 297-301.

A127. Approaching Euclidean Geometry Through Transformations. In Mathematics Matters in Education. New York: Springer, 2017, 233-244.

A128. (with Anita Rampal, Delhi University) Topic Study Group No. 37: Mathematics Curriculum Development. In Proceedings of the 13th International Congress on Mathematical Education. Gabriele Kaiser, editor. Cham, Switzerland: Springer Open, 2017, 555-559.

A129. The Four-Page Document that Made NCSM and Its Implications for the Near Future. In Fifty Years of Leadership in Mathematics Education: Where Do We Go From Here? Johnny W. Lott, Carolyn J. Lott, Carol A. Edwards, and Linda Fulmore, editors. Englewood, CO: National Council of Supervisors of Mathematics, 2018, 11-22.

A130. Electronic vs. Paper Textbook Presentations of the Various Aspects of Mathematics. ZDM 50(6), April, 2018.

A131. Beauty and Serendipity in Teaching Mathematics. Educational Designer 12 (March 2019), at https://www.educationaldesigner.org/ed/volume3/issue12/article47/.

A132. Mathematics as a Native Language (2019). In If I Ruled the World Conference Proceedings, 1-11. Cambridge, MA; COMAP.

A133. (in Chinese) 数学建模与算术的基本运算（上 and 下） [Mathematical Modelling and the Fundamental Operations of Arithmetic (I and II).] 小学教学（数学版）Primary School Teaching (Mathematics Edition), 2020, Issue 4 (April), pp. 8-11 and Issue 5 (May) pp.4-6.

A134. The Timing of the First Concentrated Study of Algebra in the Past Century in the United States. Mathematics Teacher: Learning & Teaching PK-12, 113:6 (June 2020), pp. 524-6.