Co-Principal Investigator, Studying Teachers' Evolving Perspectives (STEP): A Cross-Sectional Snapshot of Teachers Engaged in Sustained Professional Development Focused on Children's Mathematical Thinking

(http://www.sci.sdsu.edu/crmse /STEP/)

Integrating Mathematics and Pedagogy (IMAP): An Investigation of the Effects on Elementary Preservice Teachers' Beliefs and Learning of Mathematics

(http://www.sci.sdsu.edu/CRMSE /IMAP/main.html)

- B.A. Mathematics, California State University Northridge (CSUN)
- M.S. Mathematics, CSUN
- Ph.D. Curriculum and Instruction (Math Ed), University of Wisconsin Madison

I grew up in the San Fernando Valley in California, where I earned a
degree in mathematics and then a fifth year single-subject teaching
credential in mathematics. I worked my way through college "busting
tires" at Sears, and in my spare time I taught CPR courses for the
American National Red Cross and I served as a Big Brother of Greater Los
Angeles. I spent the next two years as a Peace Corps Volunteer teaching
mathematics at a junior high school and in a teacher training institute
in Liberia, West Africa, where, while out for a run one afternoon in
the bush, I decided I enjoyed working with prospective teachers even
though I did not know what I was doing. I decided then to pursue a
graduate degree in mathematics education. I returned to the U.S. and
taught mathematics in an inner-city Los Angeles high school and then in
Canyon Country, north of Los Angeles. While teaching, I worked on an
M.S. degree in mathematics at night and I also served on a crisis
intervention help-line. Upon finishing my M.S. degree, I married, moved
to Wisconsin, and studied for my doctorate under the direction of Tom
Carpenter.

I have devoted much of my research and teaching to understanding
and working with prospective and practicing elementary and secondary
mathematics teachers, and to support this work, we have developed video
of children’s mathematical thinking. The CD, which is used in several of
our courses, is available through Pearson/Prentice Hall at http://vig.prenhall.com/catalog/academic/product/0,1144,0131198548,00.html. Samples of these video are available on our IMAP website (http://www.sci.sdsu.edu/CRMSE/IMAP/video.html).

2013 San Diego State University President's Leadership Fund Faculty and Staff Excellence Award. This award was presented to five people by SDSU President Elliot Hirshman on the basis of the impact one has on SDSU’s campus and local communities. A $5,000 stipend for ongoing work was associated with this award.

2013, American Educational Research Association Division K Research Award for edited book: Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (Eds.). (2011). *Mathematics teacher noticing: Seeing through teachers’ eyes*. New York: Routledge (Taylor & Francis Group).

2011-2014, Chair, Digital Library of Practice Advisory Group (DLPAG), National Council of Teachers of Mathematics.

**Current National Advisory Boards**

Advisory Board Member, Theorizing and Advancing Teachers’ Responsive Decision Making in the Domain of Rational Numbers. Susan Empson, University of Texas, and Victoria Jacobs, University of North Carolina-Greensboro, 2013–2018.

Advisory Board Member, Mathematical Knowledge for Equitable Teaching: Exploring opportunities to enable Elementary pre-service teachers to develop ambitious and equitable teaching practices. Imani Goffney and Jen Chauvot, University of Houston, 2012 – present.

Advisory Board Member, Mathematically Significant Pedagogical Openings to Build on Student Thinking (MOST). Laura Van Zoest, Western Michigan University; Shari Stockero, Michigan Techological Institute; Keith Leatham and Blake Peterson, Brigham Young University, 2012 – present.

Advisory Board Member, Learning to Support Productive Collective Argumentation in Secondary Mathematics Classes, National Science Foundation Early Career Grant, AnnaMarie Conner, University of Georgia, 2012-2017.

Advisory Board Member, Learning to Learn from Teaching. National Science Foundation Early Career Grant, Rossella Santagata, PI, University of California, Irvine, 2010–2015.

Advisory Board Member, Connecting Mathematics for Elementary Teachers. NSF-funded Division of Undergraduate Education, David Feikes, PI, 2010–2014.

Advisory Board Member, Mathematics Discourse in Secondary Classrooms (M-DISC): A Case-Based Professional Development Curriculum NSF-funded DRK-12, Development of Resources and Tools Project. Beth Herberl-Eisenmann, Michael Steele, & Michelle Cirillo, PIs, 2009 - 2014.

Advisory Board Member, Constructing Coherence: Elementary Teachers’ Strategies for Using Standards-Based Mathematics Curriculum Materials, National Science Foundation Early Career Grant, Corey Drake, Iowa State University, 2007 - 2014.

Philipp, R., & Schappelle, B. (2011). *Facilitator's guide for IMAP (Integrating Mathematics and Pedagogy)*: *Searchable collection of children’s-mathematical-thinking video clips*. New York: Pearson.

Sherin, M. G., Jacobs, V. R., & Philipp, R. A. (Eds.). (2011). *Mathematics teacher noticing: Seeing through teachers’ eyes*. New York: Routledge (Taylor & Francis Group). *(Note: this book won the 2013 AERA Division K Research Award.)*

Sowder, J. T., Philipp, R. A., Armstrong, B. E., & Schappelle, B. T. (1998).

Articles and Chapters Since 2007

Philipp, R. A. (in press). Valorization of Knowledge as a Component of Understanding and Building Upon Students’ Thinking. (Editors Unknown.) *Cases for Teacher Educators: Facilitating Conversations about Inequities in Mathematics Classrooms*. Information Age Publishing.

Philipp, R. A., & Hawthorne, C. (in press) Unpacking Referent Units in Fraction Division. *Teaching Children Mathematics.*

Bishop, J. P., Lamb, L. L., Philipp, R. A., Whitacre, I., & Schappelle, B. (in press). Leveraging Structure: Logical Necessity in the Context of Integer Arithmetic. *Mathematical Thinking and Learning*.

Philipp, R. A. & Siegried, J. (2015). Studying Productive Disposition: The Early Development of a Construct. *Journal of Mathematics Teacher Education, 18*(5), 489–499.

Whitacre, I., Bishop, J. P., Philipp, R. A., Lamb, L. L., Bagley, S., & Schappelle, B. P. (2015). ‘Negative of my money, positive of her money’: secondary students’ ways of relating equations to a debt context. *International Journal of Mathematical Education in Science and Technology, 46*(2), 234–249. (http://dx.doi.org/10.1080/0020739X.2014.956822)

Jacobs, V., Martin, H., Ambrose, R, & Philipp, R. A. (2014). Warning Signs: Challenges to Children’s Understandings. *Teaching Children Mathematics, *
*21*(2), 107-113.

Whitacre, I., Bishop, J. P., Philipp, R. A., Lamb, L. L., &
Schappelle, B. P. (2014). Dollars and Sense: Students’ Integer
Perspectives. *Mathematics Teaching in the Middle School 20 *(2), 84-89.

Philipp, R. A. (2014). Research on teachers’ focusing on children’s teaching in learning to teach: Teacher noticing and learning trajectories. J. J. Lo, K. R. Leatham, and L. R. Van Zoest (Eds.), *Research Trends in Mathematics Teacher Education*. Springer.

Bishop, J. P., Lamb, L. L., Philipp, R. A., Whitacre, I., Schappelle,
B. P., & Lewis., M. L. (2014). Obstacles and Affordances for
Integer Reasoning: An Analysis of Children’s Thinking and the History of
Mathematics. *Journal for Research in Mathematics Education, 45*(1), 19–61.

Philipp R., Jacobs, V. R., & Sherin, M. G (2013). Noticing of mathematics teachers. In S. Lerman (Ed.), *Encyclopedia of mathematics education: Springerreference*, Article ID: 313299, Chapter ID: 120. Encyclopedia entry retrieved Dec 30, 2013, from http://www.springerreference.com/docs/edit/chapterdbid/313299.html (Username and password available upon request).Bishop, J. P., Lamb, L. C., Philipp, R. A., Whitacre, I., & Schappelle, B. P. (2014). Using Order to Reason About Negative Numbers: The Case of Violet. *Educational Studies in Mathematics, 86*(1), 39–59.

Thanheiser, E., Philipp, R. A., Fasteen, J., Strand, K., & Mills, B. (2013). Preservice-Teacher Interviews: A Tool for Motivating Mathematics Learning. *Mathematics Teacher Educator, 1*(2), 34–44.

Jacobs, V., Sherin, M., & Philipp, R. (2013). Mathematics teacher noticing: A hidden skill of teaching. *Proceedings of the 35th annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 1329–1333), Chicago, IL.

Lamb, L., Bishop, J., Philipp, R., Whitacre, I., Stephan, M., Bofferding, L., Lewis, J., Brickwedde, J., Bagley, S. & Schappelle, B. (2013). Building on the emerging knowledge base for teaching and learning in relation to integers. *Proceedings of the 35th annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 1362–1366), Chicago, IL.

Lamb, L.C., Bishop, J.P., Philipp, R. A., Schappelle, B. P., Whitacre, I., Lewis, M. (2012). Developing Symbol Sense for the Minus Sign. *Mathematics Teaching in the Middle School, 18*(1), 5–9.

Lamb, L. L., Bishop, J. P., Philipp, R. A., Schappelle, B. P., Whitacre, I., & Lewis, M. (2012). High school students' conceptions of the minus sign. *Mathematics Teaching, 227*, 40-44.

Whitacre, I., Bishop, J. P., Lamb, L. C., Philipp, R. A., Schappelle, B. P., & Lewis, M. L. (2012). Happy and sad thoughts: An exploration of children's integer reasoning. *Journal of Mathematical Behavior, 31*, 356–365.

Bishop, J. P., Lamb, L. L. C., Philipp, R. A., Schappelle, B. P., & Whitacre, I. (2011). First graders outwit a famous mathematician. T*eaching Children Mathematics, 17*, 350–358.

Sherin, M. G., Jacobs, V. R., & Philipp, R. A. Situating the Study of Teacher Noticing. (2011). In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), *Mathematics teacher noticing: Seeing through teachers’ eyes *(pp. 3–14). New York: Routledge (Taylor & Francis Group).

Jacobs, V. R., Lamb, L. C., Philipp, R. A., & Schappelle, B. P. (2011). Deciding how to respond on the basis of children’s understandings. In M. G. Sherin, V. R. Jacobs, & R. A. Philipp (Eds.), *Mathematics teacher noticing: Seeing through teachers’ eyes* (pp. 97-116). New York: Routledge (Taylor & Francis Group).

Jacobs, V. R., & Philipp, R. A. (2010). Supporting children during problem solving. *Teaching Children Mathematics. 17*(2), 98-105.

Philipp, R. A., & Thanheiser, E. (2010). Showing your students you care: Seeing the individual trees in the classroom forest. *New England Mathematics Journal, 42*(May, 2010), 8-17.

Jacobs, V. R., Lamb, L.L.C., & Philipp, R.A. (2010). Professional noticing of children's mathematical thinking. *Journal for Research in Mathematics Education, 41*(2), 169-202.

Lamb, L. C., Philipp, R. A., Jacobs, V. R., & Schappelle, B. P. (2009). Developing teachers' stances of inquiry: Studying teachers' evolving perspectives. In D. Slavit, T. H. Nelson & A. Kennedy (Eds.), *Perspectives on supported collaborative teacher inquiry* (pp. 16-45). New York: Routledge, Taylor and Francis Group.

Philipp, R. A. & Fulton, Brad. (2009). Answering Students’ Questions. *The California Mathematics Council Communicator, 33*(3), 39-42.

Lamb, L. C., Philipp, R. A., Jacobs, V. R., & Schappelle, B. P. (2009). Developing teachers' stances of inquiry: Studying teachers' evolving perspectives. In D. Slavit, T. H. Nelson & A. Kennedy (Eds.), *Perspectives on supported collaborative teacher inquiry* (pp. 16-45). New York: Routledge, Taylor and Francis Group.

Philipp, R. A. (2008). Motivating prospective elementary school teachers to learn mathematics by focusing upon children's mathematical thinking. *Issues in Teacher Education, 17*(2) 7-26.

Philipp, R. A. (2007). Mathematics teachers' beliefs and affect. In F. Lester (Ed.), *Second handbook of research on mathematics teaching and learning* (pp. 257-315). Reston, VA: National Council of Teachers of Mathematics.

Philipp, R. A., Ambrose, R., Lamb, L. L., Sowder, J. T., Schappelle, B. T., Sowder, L., Thanheiser, E., & Chauvot, J. (2007). Effects of Early Field Experiences on the Mathematical Content Knowledge and Beliefs of Prospective Elementary School Teachers: An Experimental Study. *Journal for Research in Mathematics Education, 38*(5), 438 - 476.

Bishop, J., P., Philipp, R. A., and Lamb, L. L. (2014, April 9). Opportunities of Algebraic Reasoning in the Context of Integers. Presentation at the National Council of Teachers of Mathematics Research Presession, New Orleans, LA.

Philipp, R. (2014, April 8). Finding Faculty Positions in Higher Education. Presenter at the Graduate Student, Junior Faculty, and Researcher Mentoring Session, National Council of Teachers of Mathematics Research Presession, New Orleans, LA.

Philipp, R. (2014, April 8). Discussant for session, Using Representations of Practice in Survey Research with Mathematics Teachers, National Council of Teachers of Mathematics Research Presession, New Orleans, LA.

Philipp, R. & Bishop, J. (2014, February 14). A CGI-Approach to Integers: Helping Teachers Structure Their Intuitive Knowledge About Children’s Understandings of Negative Numbers. Plenary Address at the Annual Meeting of the Teachers’ Development Group, Portland, Oregon.

Siegfried, J., Philipp, R., Hawthorne, C., & Nanna, R. (2014, February 6). An Analysis of Mathematical Content Knowledge for Teaching. Presentation at the Annual Meeting of the Association of Mathematics Teacher Educators, Irvine, CA.

Wieman, R. & Philipp, R. (2014, February 8). Using Secondary Mathematics Video: Strategies and Visions. Presentation at the Annual Meeting of the Association of Mathematics Teacher Educators, Irvine, CA.

Jacobs, V., Sherin, M., & Philipp, R. (2013, November 15). Mathematics teacher noticing: A hidden skill of teaching. Presentation at the 35th annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Chicago, IL.

Lamb, L., Bishop, J., Philipp, R., Whitacre, I., Stephan, M., Bofferding, L., Lewis, J., Brickwedde, J., Bagley, S. & Schappelle, B. (2013, November 15). Building on the emerging knowledge base for teaching and learning in relation to integers. Presentation at the 35th annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Chicago, IL.

Philipp, R. (2013, June 18). Algebraic Reasoning. Presentation to the Equals Institute, Long Beach State University.

When I am not working (and even sometimes when I am) our two sons keep my wife and me busy. However, I do make time to work out now and then, and I enjoy backpacking.

## Randolph Philipp
Mathematics Education |

School of Teacher Education

North Education 99

San Diego, CA 92182

Phone: 619-594-1371

Center for Research in Mathematics & Science Education

6475 Alvarado Road, Suite 206

San Diego, CA 92120

Phone: 619-594-4453

Fax: 619-594-1581

E-Mail: RPhilipp@mail.sdsu.edu