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Steven Benson

Professor

Steven Benson

Steven's areas of academic focus and expertise include: algebraic number theory, problem solving, and content-based professional development for inservice and preservice teachers. At Lesley, he teaches courses in a variety of topics, such as Mathematics in Context, Abstract Algebra Problem Solving, Multivariable Calculus, and Transition to Abstract Mathematics through Number Theory.

He holds a BS from the University of Texas at Austin as well as an MS and a PhD from the University of Illinois at Urbana-Champaign.

Publications

  • “Pythagorean Paper Folding,” Mathematics Magazine, February 2021, 94:1, pp. 34-42.
  • “Accessible Algebra: 30 Modules to Promote Algebraic Reasoning, Grades 7-10,” with Anne M. Collins, Stenhouse Publishers, 2017.
  • Contributing author, Lenses on Learning Secondary: Leadership for Mathematics Education in Middle and High Schools, Grant, Cathy M. et al., Corwin Press, 2009.
  • “Problem Solving by Analogy/Problem Solving as Analogy,” The Mathematics Educator, Fall 2007, 17(2), 2-6.
  • Ways to Think About Mathematics: Activities and Investigations for Grade 6-12 Teachers, with Susan Addington, Nina Arshavsky, Al Cuoco, Paul Goldenberg, and Eric Karnowski, Corwin Press, 2004.
  • Contributing author, Mathscape: Seeing and Thinking Mathematically 2nd ed., Glencoe/McGraw-Hill, 2004.
  • “Exploring Changes in Pre-service Elementary Teachers' Mathematical Beliefs,” with Jennifer E. Szydlik & Stephen D. Szydlik, Journal of Mathematics Teacher Education, September 2003, 6 (3), pp. 253-279
  • Contributing author, Windows on Teaching Math: Cases of Middle and Secondary Classrooms, Katherine Merseth, ed., Teachers College Press, 2003.
  • “A modified discovery approach to teaching and learning abstract algebra,” with Brad Findell, in Innovations in Teaching Abstract Algebra, MAA Notes #60, eds. Allen Hibbard & Ellen Maycock, Mathematical Association of America, 2002, pp. 11-17.
  • MST@UNH:  A mathematics degree for mathematics teachers,” with Karen Graham, Mathematicians and Education Reform Newsletter, Special issue on mathematics immersion experiences in professional development programs, Summer 2001, 13 (3), pp. 3-6.
  • Editor, Problem Calendar section of Mathematics Teacher (NCTM), October 2000 – March 2004.
  • Review of The Streetwise Guide to Calculus, by Colin Adams, Abigail Thompson, and Joel Hass), December 1998 (available at https://www.maa.org/press/maa-reviews).
  • Review of Calculus, by Elliot C. Gootman, December 1998 (available at https://www.maa.org/press/maa-reviews).
  • Contributing author, Minnesota K-12 Mathematics Framework, 1998.
  • “Students ask the darnedest things: a result in elementary group theory,” Mathematics Magazine, June 1997, 70 (3), pp. 207-211.
  • “A new lower bound for corresponding residue systems in normal, totally ramified extensions of number fields,” Illinois Journal of Mathematics, Spring 1996, 40 (1), pp. 1-12.
  • “Euclid’s (Gaussian) algorithm: a lattice approach,” College Mathematics Journal, Mar 1994, 25 (2), pp. 118-124.
  • “Much ado about coset multiplication,” with Matt Richey, PRIMUS, March 1994, IV (1), pp. 9-14.
  • “Aligning assessment with instructional objectives,” with Jeff Ondich, in Mathematical Sciences in Minnesota: A State Assessment, ed. Lynn Steen, 1990, pp. 201-216.
  • “Canonical Invariants for Corresponding Residue Systems in p-adic Fields,” Journal of Number Theory, Nov. 1990, 36 (3), pp. 339-353.

Presentations

  • Presentations at Joint Meetings of American Mathematical Society and Mathematical Association of America: January 2010, 2011, 2012, 2013, 2015
  • Session Organizer: Influences of the Calculus Reform Movement on the Teaching of Mathematics (contributed paper session) and Calculus Reform: 25 Years Later (panel), AMS-MAA Joint Meetings, January 2011
  • Moderator for Panel Beyond Grading and Tutoring: New approaches to students helping students, AMS-MAA Joint Meetings, January 2010
  • Panelist, Developing Content-based Masters Programs for Inservice Mathematics Teachers, San Jose CA (Mathfest SIGMAA panel), August 2007
  • Special Session Organizer, Building and Sustaining Communities of Mathematicians and Teachers, AMS-MAA Joint Meetings, January 2007