## Benjamin Michael Dickman

### Professional Background

#### Educational Background

Columbia University (New York, NY), 2010-2014

Ph.D, Mathematics Education; NSFGRFP

Ph.D, Mathematics Education; NSFGRFP

Nanjing Normal University (Nanjing, China), 2008-2009

Fulbright Grant, Mathematics Education

Fulbright Grant, Mathematics Education

Amherst College (Amherst, MA), 2004-2008

B.A. Mathematics; Honors Program

B.A. Mathematics; Honors Program

#### Scholarly Interests

Mathematics Education,

Problem Posing,

Creativity Studies,

Problem Solving,

Mathematical Modeling,

History of Mathematics,

History of Mathematics Education,

Chinese Mathematics Education,

Pure Mathematics.

Problem Posing,

Creativity Studies,

Problem Solving,

Mathematical Modeling,

History of Mathematics,

History of Mathematics Education,

Chinese Mathematics Education,

Pure Mathematics.

#### Selected Publications

Copies available by request: bmd2118@columbia.edu

1. Dickman, B. (2014). "Problem Posing with the Multiplication Table." Journal of Mathematics Education at Teachers College, 5(1).

2. Dickman, B. & Sanfratello, A. (Eds.). (2014). Proceedings: Conference on Mathematical Modeling, October 2013, Teachers College Columbia University.

3. Dickman, B. “Mathematical Modeling in Word Games: Apportionment of Letter Tiles.” Word Ways. Accepted for publication.

4. Dickman, B. (2013). “Mathematical Creativity, Cohen Forcing, and Evolving Systems: Elements for a Case Study on Paul Cohen.” Journal of Mathematics Education at Teachers College, 4(2).

5. Dickman, B. (2013). “Problem Solving Strategies in Boggle-like Games.” Word Ways, 46(1), 66–72.

6. Dickman, B. (2011). “Modeling Lessons and the Common Core State Standards.” Journal of Mathematics Education at Teachers College, Spring/Summer, 65-66.

7. Dickman, B. (2011). Sunken Treasure. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 99-106). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

8. Dickman, B. (2011). Viral Marketing. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 167-173). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

9. Dickman, B. (2011). Picking a Painting. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 225-232). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

10. Benedetto, R., Dickman, B., Joseph, S., Krause, B., Rubin, D., Zhou, X. (2009). “Computing points of small height for cubic polynomials.” Involve, 2(1), 37–64.

1. Dickman, B. (2014). "Problem Posing with the Multiplication Table." Journal of Mathematics Education at Teachers College, 5(1).

2. Dickman, B. & Sanfratello, A. (Eds.). (2014). Proceedings: Conference on Mathematical Modeling, October 2013, Teachers College Columbia University.

3. Dickman, B. “Mathematical Modeling in Word Games: Apportionment of Letter Tiles.” Word Ways. Accepted for publication.

4. Dickman, B. (2013). “Mathematical Creativity, Cohen Forcing, and Evolving Systems: Elements for a Case Study on Paul Cohen.” Journal of Mathematics Education at Teachers College, 4(2).

5. Dickman, B. (2013). “Problem Solving Strategies in Boggle-like Games.” Word Ways, 46(1), 66–72.

6. Dickman, B. (2011). “Modeling Lessons and the Common Core State Standards.” Journal of Mathematics Education at Teachers College, Spring/Summer, 65-66.

7. Dickman, B. (2011). Sunken Treasure. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 99-106). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

8. Dickman, B. (2011). Viral Marketing. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 167-173). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

9. Dickman, B. (2011). Picking a Painting. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 225-232). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

10. Benedetto, R., Dickman, B., Joseph, S., Krause, B., Rubin, D., Zhou, X. (2009). “Computing points of small height for cubic polynomials.” Involve, 2(1), 37–64.

### curriculum vitae

EDUCATION

Columbia University (New York, NY), 2010-2014

Ph.D, Mathematics Education; NSFGRFP

Dissertation: Conceptions of Creativity in Elementary School Mathematical Problem Posing

Nanjing Normal University (Nanjing, China), 2008-2009

Fulbright Grant, Mathematics Education

Amherst College (Amherst, MA), 2004-2008

B.A. Mathematics; Honors Program

PUBLICATIONS

1. Dickman, B. (2014). "Problem Posing with the Multiplication Table." Journal of Mathematics Education at Teachers College, 5(1). http://journals.tc-library.org/index.php/matheducation/article/view/986

2. Dickman, B. & Sanfratello, A. (Eds.). (2014). Proceedings: Conference on Mathematical Modeling, October 2013, Teachers College Columbia University.

3. Dickman, B. “Mathematical Modeling in Word Games: Apportionment of Letter Tiles.” Word Ways. Accepted for publication.

4. Dickman, B. (2013). “Mathematical Creativity, Cohen Forcing, and Evolving Systems: Elements for a Case Study on Paul Cohen.” Journal of Mathematics Education at Teachers College, 4(2). http://journals.tc-library.org/index.php/matheducation/article/view/944

5. Dickman, B. (2013). “Problem Solving Strategies in Boggle-like Games.” Word Ways, 46(1), 66–72. http://digitalcommons.butler.edu/wordways/vol46/iss1/25/

6. Dickman, B. (2011). “Modeling Lessons and the Common Core State Standards.” Journal of Mathematics Education at Teachers College, Spring/Summer, 65-66.

7. Dickman, B. (2011). Sunken Treasure. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 99-106). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

8. Dickman, B. (2011). Viral Marketing. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 167-173). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

9. Dickman, B. (2011). Picking a Painting. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 225-232). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

10. Benedetto, R., Dickman, B., Joseph, S., Krause, B., Rubin, D., Zhou, X. (2009). “Computing points of small height for cubic polynomials.” Involve, 2(1), 37–64. http://arxiv.org/abs/0807.0468

AWARDS AND ACTIVITIES

National Science Foundation Graduate Research Fellowship, Mathematics Education (2011-2014)

Fulbright Grant, U.S. Department of State, “The Pedagogy of Mathematics in Modern-day China,” (2008-2009)

Eugene W. Hellmich Scholarship, Teachers College, Mathematics Education (2010-2011)

John Woodruff Simpson Fellowship, Amherst College, Mathematics Education (2010-2012)

Scholarship, Confucius Institute, Mandarin Chinese (2010)

Latin honors, Amherst College, Undergraduate Thesis on Rationality of the Weil Conjectures (2008)

Memberships: Mathematical Association of America; Sigma Xi; National Puzzlers’ League

WORK EXPERIENCE

Graduate Instructor (Teachers College) and Study Tour Organizer (Shanghai, China), Summer 2013

Instructor for a graduate course entitled “Teaching Mathematics in Diverse Cultures.” Course enrollees were TC doctoral candidates in Mathematics Education. The course was taught as a part of a Study Tour to Shanghai, which included school visits as well as lectures by professors from Beijing University, Beijing Normal University, and East China Normal University on Mathematics Education in China.

Research Assistant: Mathematical Proofs and Proving (New York University), 2012-13

Assisted with a course co-taught by a professor of Mathematics Education at NYU’s Steinhardt School and a professor of Mathematics at the Courant Institute on Proofs and Proving. Assistantship supported by the NSF.

Teaching Assistant (Teachers College), 2011-2013

Course enrollees were graduate students in the Mathematics Education program at TC, most of whom will work as fulltime mathematics teachers after graduation. Courses include: Real Analysis, Abstract Algebra, Problem Solving, Topology, Set Theory, Nature of Proofs, and Problem Posing.

Assistant for China Exchange Initiative, 2009

Served as an assistant for a group of ten principals from China who were visiting Massachusetts in order to learn about the education system. Their visit included meetings with several US principals and superintendents, as well as trips to the Statehouse and Department of Education.

Fulbright Grant to study high school Mathematics Education in China (Nanjing Normal University), 2008-09

Spent two semesters at NNU attending classes with first-year graduate students pursuing their MAs in Mathematics Education. Audited an Abstract Algebra course for undergrads at NNU as well as a Mathematics course at a local high school. Distributed short answer surveys at NNU concerning Mathematics Education to seventeen undergraduates majoring in Mathematics, all eight first-year graduate students in the Mathematics Education program, and two professors of Mathematics Education.

NSF Grant Number Theory REU (Amherst College), 2007

Worked with professor and small group of students to study preperiodic points and small canonical heights for cubic polynomials. Research was supported by a National Science Foundation grant. Final write-up was published in the math journal Involve. The paper is available online at: http://pjm.math.berkeley.edu/involve/2009/2-1/p04.xhtml

Teaching Assistant: Intensive Section of Introduction to Calculus (Amherst College), 2007

Grader: Calculus I, II, and III; Linear Algebra with Applications (Amherst College), 2006-08

LANGUAGES

English (native), Mandarin Chinese (fluent), Spanish (fluent), French (reading knowledge)

INTERESTS

Mathematics Education, Problem Posing, Problem Solving, Mathematical Modeling, Creativity, History of Mathematics, History of Mathematics Education, Chinese Mathematics Education, Pure Mathematics

Columbia University (New York, NY), 2010-2014

Ph.D, Mathematics Education; NSFGRFP

Dissertation: Conceptions of Creativity in Elementary School Mathematical Problem Posing

Nanjing Normal University (Nanjing, China), 2008-2009

Fulbright Grant, Mathematics Education

Amherst College (Amherst, MA), 2004-2008

B.A. Mathematics; Honors Program

PUBLICATIONS

1. Dickman, B. (2014). "Problem Posing with the Multiplication Table." Journal of Mathematics Education at Teachers College, 5(1). http://journals.tc-library.org/index.php/matheducation/article/view/986

2. Dickman, B. & Sanfratello, A. (Eds.). (2014). Proceedings: Conference on Mathematical Modeling, October 2013, Teachers College Columbia University.

3. Dickman, B. “Mathematical Modeling in Word Games: Apportionment of Letter Tiles.” Word Ways. Accepted for publication.

4. Dickman, B. (2013). “Mathematical Creativity, Cohen Forcing, and Evolving Systems: Elements for a Case Study on Paul Cohen.” Journal of Mathematics Education at Teachers College, 4(2). http://journals.tc-library.org/index.php/matheducation/article/view/944

5. Dickman, B. (2013). “Problem Solving Strategies in Boggle-like Games.” Word Ways, 46(1), 66–72. http://digitalcommons.butler.edu/wordways/vol46/iss1/25/

6. Dickman, B. (2011). “Modeling Lessons and the Common Core State Standards.” Journal of Mathematics Education at Teachers College, Spring/Summer, 65-66.

7. Dickman, B. (2011). Sunken Treasure. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 99-106). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

8. Dickman, B. (2011). Viral Marketing. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 167-173). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

9. Dickman, B. (2011). Picking a Painting. In H. Gould, D. Murray & A. Sanfratello (Eds.), Teachers College Mathematical Modeling Handbook (pp. 225-232). Bedford, MA: The Consortium for Mathematics and Its Applications (COMAP).

10. Benedetto, R., Dickman, B., Joseph, S., Krause, B., Rubin, D., Zhou, X. (2009). “Computing points of small height for cubic polynomials.” Involve, 2(1), 37–64. http://arxiv.org/abs/0807.0468

AWARDS AND ACTIVITIES

National Science Foundation Graduate Research Fellowship, Mathematics Education (2011-2014)

Fulbright Grant, U.S. Department of State, “The Pedagogy of Mathematics in Modern-day China,” (2008-2009)

Eugene W. Hellmich Scholarship, Teachers College, Mathematics Education (2010-2011)

John Woodruff Simpson Fellowship, Amherst College, Mathematics Education (2010-2012)

Scholarship, Confucius Institute, Mandarin Chinese (2010)

Latin honors, Amherst College, Undergraduate Thesis on Rationality of the Weil Conjectures (2008)

Memberships: Mathematical Association of America; Sigma Xi; National Puzzlers’ League

WORK EXPERIENCE

Graduate Instructor (Teachers College) and Study Tour Organizer (Shanghai, China), Summer 2013

Instructor for a graduate course entitled “Teaching Mathematics in Diverse Cultures.” Course enrollees were TC doctoral candidates in Mathematics Education. The course was taught as a part of a Study Tour to Shanghai, which included school visits as well as lectures by professors from Beijing University, Beijing Normal University, and East China Normal University on Mathematics Education in China.

Research Assistant: Mathematical Proofs and Proving (New York University), 2012-13

Assisted with a course co-taught by a professor of Mathematics Education at NYU’s Steinhardt School and a professor of Mathematics at the Courant Institute on Proofs and Proving. Assistantship supported by the NSF.

Teaching Assistant (Teachers College), 2011-2013

Course enrollees were graduate students in the Mathematics Education program at TC, most of whom will work as fulltime mathematics teachers after graduation. Courses include: Real Analysis, Abstract Algebra, Problem Solving, Topology, Set Theory, Nature of Proofs, and Problem Posing.

Assistant for China Exchange Initiative, 2009

Served as an assistant for a group of ten principals from China who were visiting Massachusetts in order to learn about the education system. Their visit included meetings with several US principals and superintendents, as well as trips to the Statehouse and Department of Education.

Fulbright Grant to study high school Mathematics Education in China (Nanjing Normal University), 2008-09

Spent two semesters at NNU attending classes with first-year graduate students pursuing their MAs in Mathematics Education. Audited an Abstract Algebra course for undergrads at NNU as well as a Mathematics course at a local high school. Distributed short answer surveys at NNU concerning Mathematics Education to seventeen undergraduates majoring in Mathematics, all eight first-year graduate students in the Mathematics Education program, and two professors of Mathematics Education.

NSF Grant Number Theory REU (Amherst College), 2007

Worked with professor and small group of students to study preperiodic points and small canonical heights for cubic polynomials. Research was supported by a National Science Foundation grant. Final write-up was published in the math journal Involve. The paper is available online at: http://pjm.math.berkeley.edu/involve/2009/2-1/p04.xhtml

Teaching Assistant: Intensive Section of Introduction to Calculus (Amherst College), 2007

Grader: Calculus I, II, and III; Linear Algebra with Applications (Amherst College), 2006-08

LANGUAGES

English (native), Mandarin Chinese (fluent), Spanish (fluent), French (reading knowledge)

INTERESTS

Mathematics Education, Problem Posing, Problem Solving, Mathematical Modeling, Creativity, History of Mathematics, History of Mathematics Education, Chinese Mathematics Education, Pure Mathematics