Articles
Lamb, L L., Bishop, J. P., Philipp, R. A., Schappelle, B. P., Whitacre, I., & Lewis, M. (in press). Developing symbol sense for the minus sign. Accepted for publication in Mathematics Teaching in the Middle School.
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, (Issue 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. Teaching Children Mathematics, 17, 350–358.
Whitacre, I., Bishop, J. P., Lamb, L. L. C., Philipp, R. A., Schappelle, B. P., & Lewis, M. (2011). Integers: History, textbook approaches, and children’s productive mathematical intuitions. Proceedings of the 33rd annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 913–920). Reno, NV.
Bishop, J. P., Lamb, L., Philipp, R., Schappelle, B., & Whitacre, I. (2010).A developing framework for children’s reasoning about integers. In P. Brosnan, D. Erchick, & L. Flevares (Eds.) Proceedings of the 32nd annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. VI, pp. 695–702). Columbus, OH: The Ohio State University. (Retrievable from http://pmena.org/2010/)
Unpublished Articles
Bishop, J. P., Lamb, L., Philipp, R., Schappelle, B., & Whitacre, I. (2011, April). An Investigation of negative-number reasoning: The case of Violet. Paper prepared for the 2011 annual meeting of the American Educational Research Association, New Orleans, LA.
This paper was published as First graders outwit a famous mathematician. Teaching Children Mathematics, 17, 350–358, which appears on the website.
Upcoming Presentations
Presentations
Whitacre, I., Pierson, J., Lamb, L., Philipp, R., Schappelle, B., & Lewis, M. (2012, November 1–4). What sense do children make of negative dollars? Research report to be presented at the annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2012), Kalamazoo, MI.
Lamb, L., Pierson, J., Philipp, R., Schappelle, B., Whitacre, I., & Lewis, M. (2012, 25 April). Children's informal conceptions of integers. Work Session presented at the National Council of Teachers of Mathematics (NCTM) Research Presession, Philadelphia, PA.SDSU, San Diego, CA
Bishop, J. P., Lamb, L. L. C., Philipp, R. A., Schappelle, B. P., Whitacre, I., & Lewis, M. L., (2012, April 17). Ways of reasoning about integers: Order, magnitude, and formalisms. Poster presented at the American Educational Research Association meeting, Vancouver, British Columbia, Canada.
Bishop, J. P. (2012, April 5 and 6). Witches, astrology, and negative numbers. Invited presentations at Texas State University – San Marcos, TX and University of Texas, Austin, TX.
Whitacre, I.,, Bishop, J. P., Lewis, M., Lamb, L., Philipp, R., & Schappelle, B. (2012, February 24). Children's reasoning about integers: Video Clips to share with preservice teachers. Preliminary research report presented at the Research in Undergraduate Mathematices Education Conference (RUME XV), Portland, OR.
Lamb, L., & Philipp, R. (2012, February 10). Supporting prospective and practicing teachers: Sharing middle and high school students' conceptions of integers. Presentation at the annual meeting of Association of Mathematics Teacher Educators (AMTE). Fort Worth, TX.
Lewis , M., Pierson, J., & Lamb, L. (2012, February 3). Children's conceptions of and strategies with integers. Presentation at the annual meeting of the Greater San Diego Mathematics Council, San Diego, CA.
Lamb, L., & Bishop, J. P. (2011, December 9). Witches, astrology, and negative numbers. Colloquium presented for the Center for Research in Mathematics and Science Education and the School of Teacher Education at San Diego State University, San Diego, CA.
Philipp, R., & Lewis, M. (2011, November 4). Children’s surprising understandings of negative numbers. Presentation at the annual meeting of the California Mathematics Council Southern Section, Palm Springs, CA.
Whitacre, I., Bishop, J. P., Lamb, L. L. C., Philipp, R. A., Schappelle, B. P., & Lewis, M. (2011, October 22). Integers: History, textbook approaches, and children's productive mathematical intuitions. Brief research report presented at the meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Reno, NV.
Whitacre, I., Bishop, J. P., Lamb, L. C., Philipp, R., Schappelle, B. P., & Lewis, M. (2011, October 2). Integers: History, textbooks, and children’s productive mathematical intuitions. Presentation at the History and Pedagogy of Mathematics Conference, Point Loma Nazarene University, San Diego, CA.
Bishop, J. P., Lamb, L., Philipp, R., Whitacre, I., Schappelle, B., & Lewis, M. (2011, October 1). Viewing students’ integer reasoning through the lens of history. Presentation at the History and Pedagogy of Mathematics Conference, Point Loma Nazarene University, San Diego, CA.
Whitacre, I. (2011, July 21). Preliminary findings from Project Z: Researching children’s integer reasoning. Presentation to Project Algebraic—a Ca-Math Science Partnership grant involving Lake Elsinore Unified School District and Temecula Valley Unified School District, Temecula, CA.
Philipp, R. A. (2011, June). Understanding students’ conceptions of integers. Presentation at the Cognitively Guided Instruction Conference. Little Rock, AK.
Philipp, R. A. (2011, May 13). How a focus on children's mathematical thinking supports the professional development of elementary school teachers. Presentation at the Critical Issues in Mathematics Education Series, Mathematical Sciences Research Institute, Berkeley, CA.
Bishop, J. P., Lamb, L. L., Philipp, R. A., Schappelle, B., & Whitacre, I. (2011, April). An investigation of negative-number reasoning: The case of Violet. Presentation for the roundtable session, Student Reasoning in Mathematics, at the 2011 annual meeting of American Educational Research Association, New Orleans, LA.
Lamb, L., Pierson, J., Philipp, R., Whitacre, I., Schappelle, B., & Lewis, M. (2011, January). Understanding students’ conceptions of integers and implications for teacher educators. Preconference session at the 11th annual conference of the Association of Mathematics Teacher Educators, Irvine, CA.
Lamb, L., Bishop, J. P., & Philipp, R. A. (2010, December). Mapping Developmental Trajectories of Students' Conceptions of Integers, Year 2.Poster presented at Principal Investigator Conference, Washington, DC.
Bishop, J. P., Lamb, L., Philipp, R., Schappelle, B., & Whitacre, I. (2010, October). A developing framework for children’s reasoning about integers. Research report on Young Students’ Reasoning About Number at the32nd annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education,Columbus, OH.
Lamb, L., Pierson, J., Philipp, R. A., & Whitacre, I. (2010, April). Students’ conceptions of integers. Presentation at the National Council of Teachers of Mathematics research presession, San Diego, CA.
Lamb, L., Pierson, J., & Philipp, R. A. (2009, December). Mapping Developmental Trajectories of Students' Conceptions of Integers, Year 1. Poster presented at Principal Investigator Conference, Washington, DC.
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