Focus on Mathematics: Publications

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We welcome suggestions of published materials that bear on topics of interest, including: mathematical research, mathematics education, professional development, philosophy of mathematics, and mathematics curricula.

FoM Partnership Papers


Andy Katz (Lawrence), Investigating The Simplex Lock, The Annual Discrete Mathematics Conference for K - 12 Teachers, Boston College, March 1, 2008. Slides


A Closer Look: Zooming in on Math The FoM community is the focus on a 3-minute multimedia piece produced by EDC. The teachers' thoughtful comments and photography really capture the essence of FoM. We hope you will share it with your students, administrators, parents, and community! EDC Video


Glenn Stevens (BU), Al Cuoco (EDC), Gail Burrill (PCMI), Jim Lewis (Mathematics in the Middle), and William McCallum (Arizona Teacher Institute), Deep Experience of Mathematics: Impact on Teachers, MSP Learning Network Conference: Claims-Based Outcomes: What do we know? How do we know what we know? What do we still need to know?, Washington D.C., January 28, 2008. Breakout presentation


Steve Rosenberg (BU), Mike Spillane and Daniel Wulf (Watertown Public Schools), Heron Triangles and Moduli Spaces, Mathematics Teacher, to appear. Article Sketchpad presentation


Carole Greenes (BU), Kyung Yoon Chang (Konkuk University, Seoul, Korea), David Ben Chaim (Weizmann Institute of Science, Rehovot, Israel), International Survey of Secondary Students' Understanding of Key Concepts of Linearity, Psychology of Mathematics Education (PME), Seoul, Korea, July 2007.


Carole Greenes (BU), Steve Rosenberg (BU), Kathleen Bodie (Arlington Public Schools), Donna Chevaire (Lawrence Public Schools), Charles Garabedian and Daniel Wulf (Watertown Public Schools), Ann Halteman and Kevin Wynn (Chelsea Public Schools), and Eileen Herlihy (Waltham Public Schools), The Professional Development of Leaders and Teachers of Mathematics, NCSM Journal, to appear.


Glenn Stevens (BU), Al Cuoco (EDC), Wayne Harvey (EDC), Ryota Matsuura (BU), Steve Rosenberg (BU), & Sarah Sword (EDC), The Impact of Immersion in Mathematics on Teachers, Mathematical Sciences Research Institute (MSRI), Berkeley, CA, May 31, 2007. Over almost 20 years we have developed and refined an "immersion" approach to professional development, through our collective work in programs like PROMYS for Teachers, Focus on Mathematics, and the Park City Mathematics Institute. The approach is based on our belief that deep personal experience of doing mathematics in the spirit of exploration is a necessary prerequisite for developing what the National Academies have called a "mathematical disposition". Our presentation will describe a few of the experiences we have shared and will attempt to outline the ideas that have grown out of those experiences. The afternoon workshop will offer participants an opportunity to personally experience, albeit briefly, a simple example of a "mathematical immersion." Key questions include: What is the impact on teachers of doing mathematics in "mathematical" ways? What understanding of mathematics do we hope teachers will gain? Can/How can our particular approach to immersion be generalized and used successfully in other settings? How does this approach affect the involvement of mathematicians in the work of mathematics education?


Glenn Stevens, Carol Findell, Sarah Sword and Ryota Matsuura (BU), Immersion in Mathematics: Boston University's Masters program in Mathematics for Teaching, The University of Arizona, Institute for Mathematics and Education, March 2, 2007. Workshop presentation


Al Cuoco (EDC), Wayne Harvey (EDC), Steve Rosenberg (BU), Glenn Stevens (BU), and Dan Wulf (WHS), MSP Learning Network Conference: Mathematicians and school-based mathematical cultures, January 27, 2007, Washington, DC. Breakout presentation


Allen Olsen (Lawrence), Divisibility Tests, Mathematics Teacher, August 2006. Delving Deeper: Divisibility Tests


Glenn Stevens (BU), Al Cuoco, and Wayne Harvey (EDC), Knowledge of Mathematics for Teaching: How to define it? How to assess it? How to achieve it?, MSP Learning Network Conference: Challenging Courses and Curricula, February 1, 2005, Breakout Session #8. Breakout presentation Appendix 1 Appendix 2 (Sabra Lee and Carol Baldassari) Slideshow (Flash) Printable version (with appendices) View other MSP Learning Network Conference Breakout Sessions... (login required)


Virtual Poster Session prepared by Ava Berinstein (BU), MSP Learning Network Conference: Challenging Courses and Curricula, January 31 – February 1, 2005, Poster Session. Abstract Virtual Poster View other MSP Learning Network Conference Posters... (login required)


Ben Sinwell (Chelsea HS), Chebyshev Polynomials, Mathematics Teacher, Vol. 98, No. 1, August 2004, pp. 20-25. Ben Sinwell is a mathematics teacher at Chelsea HS and is an alumnus of PROMYS for TEACHERS. His efforts at the HS contributed to the marked success and accomplishments of the 165 students who participated in the Chelsea Math Fair that Ben co-organized. He presented the research for the present article in a district-wide colloquium at BU on June 10, 2004, and he has continued to facilitate the professional development internship with PROMYS teachers at the Park City Mathematics Institute.


Glenn Stevens (BU), PROMYS for Teachers: Learning in the Spirit of Exploration, MER Forum, Vol. 13, No. 3, Summer 2001, pp. 7-10. Glenn Stevens is a Principal Investigator for Focus on Mathematics and has directed the PROMYS program since its foundation in 1989.


Al Cuoco (EDC), Teaching Mathematics in the United States (in English, Notices of the AMS, Vol. 50, No. 7, August 2003, pp. 777-787, and Italian, Bolletino della Unione Matematica Italiana, Sezione A, Aprile 2003, pp. 27-56.). Al Cuoco is the Director of the Center for Mathematics Education at Education Development Center, Inc. in Newton Massachusetts. He has co-directed the PROMYS for Teachers program with Glenn Stevens since its inception in 1991.


Focus on Mathematics: Five MSP Key Features, Virtual Poster Session prepared by Ava Berinstein, MSP Learning Network Conference, January 28 – 31, 2004, Washington, DC. Virtual Poster View other MSP Learning Network Conference Posters... (login required)


FoM Conference Presentations Eastern Evaluation Research Society April 22–24, 2007 Carol Baldassari and Sabra Lee (Lesley College and PERG), "Developing a mathematics classroom observation protocol for case study research." NCSM Annual Conference Atlanta, GA March 19–22, 2007 Wayne Harvey, Al Cuoco, Steve Benson, Sarah Sword (EDC), Kathleen Bodie (Arlington Public Schools), and Glenn Stevens (BU), "Fostering Sustainable Mathematical Learning Communities of Teachers and Administrators." Special Session on Mathematics and Education Reform AMS/MAA Joint Mathematics Meetings New Orleans, LA January 8–11, 2007 Steve Benson and Sarah Sword (EDC), "Building and Sustaining Communities of Mathematicians and Teachers" Al Cuoco (EDC), and Glenn Stevens (BU), "Building a Community of Mathematicians, Teachers, and Educators." Ben Sinwell (Chelsea HS), "A Teacher's Perspective on Communities of Mathematicians and Teachers." NCSM Annual Conference St. Louis, Missouri April 24 – 26, 2006 Steve Benson, Wayne Harvey, Al Cuoco, et. al. (EDC): "Focus on Mathematics: Lessons Learned from a Wide-Ranging Partnership of Grade 5 -12 Teachers, Administrators, and Professional Mathematicians" Kathleen Bodie (Arlington Public Schools), Eileen Herlihy (Waltham Public Schools), Carole E. Greenes (BU), Donna Chevaire (Lawrence Public Schools), Ann Halteman (Chelsea Public Schools), and Kevin Wynn (Chelsea Public Schools): "Linking Professional Development, Curriculum Reform, and Enhancement of Student Mathematical Understanding with State Assessments". Slideshow Abstract This paper is based on the combined work and research efforts of the Focus on Mathematics Curriculum Review Committee that was formed in 2004 and is comprised of school district administrators, teachers, mathematicians, and educators. FoM charged this group with evaluating the mathematics curricula used in the various school districts. Members include: Kathy Bodie, (Arlington), Eileen Herlihy (Waltham), Donna Chevaire (Lawrence), Ann Halteman (Chelsea), Kevin Wynn (Chelsea), Chuck Garabedian (Watertown), Carole Greenes (BU), and Steve Rosenberg (BU). AMS/MAA Joint Mathematics Meetings San Antonio, Texas January 12 – 15, 2006 Daniel Chazan (University of Maryland) and Sarah Sword (Education Development Center): "Research Experiences in Mathematics for Mathematics Educators", January 12, 2006. Steve Rosenberg (BU), Michael Spillane (Watertown HS), and Dan Wulf (Watertown HS): "Fostering Mathematical Research by Teachers", January 12, 2006. Robert Devaney (BU): "Bringing Contemporary Mathematics into the Curriculum", January 13, 2006. Steve Benson (EDC), Al Cuoco (EDC), Karen Graham (University of New Hampshire), and Neil Portnoy (Stony Brook University): "Seeing the Connections: Promoting Profound Understanding of Secondary Mathematics", January 14, 2006. NCTM Eastern Regional Conference Hartford, Connecticut October 6 – 8, 2005 Dan Wulf (Watertown HS), Michael Spillane (Watertown HS), and Steve Rosenberg (BU): "Voting Schemes: Same Election, Different Results". This presentation is the result of work done in the Watertown High School Focus on Mathematics study group. Carol Findell (BU): "Connecting Algebra to Measurement, Geometry, Number, Data, and Probability". Carole Greenes (BU): "Artful Guidance; Challenging Young Children Mathematically". Art Johnson (BU): "Preparing a Pathway to Proofs". Bob Devaney (BU): "Spreadsheets: A Great Tool to Animate and Visualize Mathematics". E. Paul Goldenberg (EDC): "Puzzles for Problem Solving, Algebra, and Proof in Grades 2-5". Benjamin Sinwell (Former FoM Teacher): "The Chebyshev Polynomials: Patterns and Derivation". AMS/MAA Joint Mathematics Meetings Atlanta, Georgia January 5 – 8, 2005 Al Cuoco (EDC): "Infusing Connections into Core Courses for Future Secondary Teachers: Implementation at Lawrence High School", MAA Minicourse, January 8, 2005. Wayne Harvey (EDC), Al Cuoco (EDC), and Glenn Stevens (BU): "Mathematics Knowledge: Implications for Teaching and Learning Mathematics in Middle and High Schools", January 8, 2005. Glenn Stevens (BU): "Focus on Mathematics", AMS Special Session on Mathematicians' Work on Mathematics Education, January 7, 2005. Other Conferences Carole Greenes (BU): "Focus on Math." Presentation to Math Education leaders in Massachusetts. Emmanuel College, Boston, MA,: December 17, 2004. Carole Greenes (BU): "The Algebra Strand from Early Childhood through College: Take A Stand!" Association of Teachers of Mathematics in Massachusetts (ATMIM), Marlborough, MA, March 17, 2005. Carole Greenes (BU): "The FoM Curriculum Review Process: A Model for the Updating of Teachers." Annual Conference of the National Council of Supervisors of Mathematics, Anaheim, CA. April 3, 2005.


Work in Progress Wayne Harvey (EDC), "Mathematics Knowledge: Implications for Teaching and Learning Mathematics in Middle and High Schools", in preparation for Education Week. Hugh McLaughlin (Lawrence HS), Identifying Pythagorean Triples: Projects for an Algebra Math Fair, NCTM Conference Presentation Proposal.

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