Publications
In Press Publications
Published Articles in Peer-Reviewed Research Journals and Chapters in Peer-Reviewed Books
Gearhart, M., & Saxe, G. B. (2004). When teachers know what students know: Integrating mathematics assessment. Theory Into Practice, 43(4), 304-313.
Gearhart, M., & Saxe, G. B. (2014). Differentiated Instruction in Shared Mathematical Contexts. Teaching Children Mathematics, 20(7), 426-435.
Gearhart, M., Saxe, G. B., Seltzer, M., Schlackman, J., Ching, C. C., Nasir, N. i., . . . Sloan, T. F. (1999). Opportunities to learn fractions in elementary mathematics classrooms. Journal for Research in Mathematics Education, 30(3), 286-315.
Saxe, G. B., de Kirby, K., Kang, B., Le, M., & Schneider, A. (2015). Studying cognition through time in a classroom community: The interplay between "everyday" and "scientific" concepts. Human Development, 58, 5-44. doi:10.1159/000371560
Saxe, G. B., de Kirby, K., Le, M., Sitabkhan, Y., & Kang, B. (2015). Understanding learning across lessons in classroom communities: A multi-leveled analytic approach. In A. Bikner-Ahsbahs, C. Knipping, & N. Presmeg (Eds.), Approaches to qualitative research in mathematics education: Examples of methodology and methods (pp. 253-318). Dordrecht, Netherlands: Springer.
Saxe, G. B., Diakow, R., & Gearhart, M. (2013). Towards curricular coherence in integers and fractions: A Study of the efficacy of a lesson sequence that uses the number line as the principal representational context. ZDM, 45, 343-364. doi:10.1007/s11858-012-0466-2
Saxe, G. B., Earnest, D., Sitabkhan, Y., Haldar, L. C., Lewis, K. E., & Zheng, Y. (2010). Supporting generative thinking about the integer number line in elementary mathematics. Cognition & Instruction, 28(4), 433-474.
Saxe, G. B., Gearhart, M., Shaughnessy, M. M., Earnest, D., Cremer, S., Sitabkhan, Y., . . . Young, A. (2009). A methodological framework and empirical techniques for studying the travel of ideas in classroom communities. In B. Schwartz, T. Dreyfus, & R. Hershkowitz (Eds.), Transformation of knowledge in classroom interaction (pp. 203-222). London: Routledge.
Saxe, G. B., Gearhart, M., Sitabkhan, Y. A., Earnest, D., Haldar, L. C., Lewis, K. E., Platas, L., Zheng, Y. (2010). A research-based, elementary school curriculum on integers and fractions. Paper presented at the Annual Meeting and Exposition of the National Council of Teachers of Mathematics, San Diego, CA.
Saxe, G. B., & Shaughnessy, M. M. (2008). Children's interpretations of fractions on the number line. Paper presented at the American Educational Research Association, New York, NY.
Saxe, G. B., Shaughnessy, M. M., Gearhart, M., & Haldar, L. C. (2013). Coordinating numeric and linear units: Elementary students’ strategies for locating whole numbers on the number line. Mathematical Thinking and Learning, 15, 235-258.
Saxe, G. B., Shaughnessy, M. M., Shannon, A., Langer-Osuna, J., Chinn, R., & Gearhart, M. (2007). Learning about fractions as points on a number line. In P. Elliott, W. G. Martin, & M. E. Strutchens (Eds.), 69th NCTM Yearbook (pp. 221-237). Reston, VA: NCTM.
Saxe, G. B., Taylor, E. V., McIntosh, C., & Gearhart, M. (2016). Fraction notation and reference in children's representations of parts of areas. In E. A. Silver & P. A. Kenney (Eds.), More lessons learned from research. Volume 2: Useful research on teaching mathematics to all students (Vol. 2, pp. 189-198). Reston, VA: National Council of Teachers of Mathematics.
Publications for Teachers/Educators in Journals/Magazines
Collett, J., Gearhart, M. & Leveille Buchanan, N. (2018, January/February). Supporting students’ contributions to classroom discussions. Teaching Children Mathematics, 24(4), 236-243.
Gearhart, M., & Saxe, G. B. (2014). Differentiated Instruction in Shared Mathematical Contexts. Teaching Children Mathematics, 20(7), 426-435.
Pfotenhauer, J., Kleine, R., Sitabkhan, Y., & Earnest, D. (2013, May). Shifting understanding of mixed numbers. Teaching Children Mathematics, 19(9), 592.
Pfotenhauer, J., Kleine, R., Sitabkhan, Y., & Earnest, D. (2013, May). More of students’ shifting understanding of mixed numbers. Teaching Children Mathematics, 19(9).
Unpublished Manuscripts
Gearhart, M., Leveille Buchanan, N., Collett, J., Diakow, R., Kang, B., Saxe, G.B., McGee, A. (2014). Identifying Opportunities to Learn in Mathematics Discussions in Heterogeneous Elementary Classrooms. Unpublished manuscript, University of California, Berkeley.
Learning Mathematics through Representations. (2014 October). Alignment of the Learning Mathematics through Representations curriculum with the Common Core State Standards. Unpublished manuscript, Graduate School of Education, University of California, Berkeley.
Leveille Buchanan, N., Collett, J., McGee, A., & Gearhart, M. (2014). Teachers’ Orientations to a Curriculum-Supported Pedagogical Practice in Mathematics. Unpublished manuscript, University of California, Berkeley.
Conference presentations
Saxe, G. B. (2019). Mathematics learning in language inclusive classrooms. Technology and Psychology for Mathematics Education conference. Moscow, Russia, March 18-21, 2019.
Learning Mathematics through Representations. (2014, October). Alignment of the Learning Mathematics through Representations curriculum with the Common Core State Standards. Graduate School of Education, University of California, Berkeley.
Gearhart, M. & Saxe, G. B. (2014, May). Embedding formative assessment in curriculum design: A research-based approach. Presentation in the symposium, Constructivist Education in an Age of Accountability, at the annual meeting of the Jean Piaget Society, San Francisco, CA.
Buchanan, N. L., & Sussman, J. (2014, May). Progressive coordinations: A learning progression for rational number based on students' partial understandings. Poster presented at the annual meeting of the Jean Piaget Society, San Francisco, CA.
Buchanan, N. L., & McGee, A. (2014, April). Curricular support for building on students’ partial understandings. Poster presented at the 2014 National Council of Teachers of Mathematics Research Conference, New Orleans, LA.
Miller Singley, A. T., Leveille Buchanan, N., Green, C. T. (2014, April). Curriculum, classroom, and individual effects on mathematics learning trajectories. Presentation at the annual meeting of the American Educational Research Association, Philadelphia.
Sussman, J. (2014, April). Evaluating educational interventions with state-administered proficiency assessments: Validity issues. Poster presented at the National Council on Measurement in Education Annual Meeting, Philadelphia, PA.
Gearhart, M., Saxe, G. B., Buchanan, N. L., & Haldar, L. C. (2013, April). Learning Mathematics through Representations. Workshop for the Annual Meeting of the National Council of Teachers of Mathematics, Denver.
Gearhart, M., & Saxe, G. B. (2012, April). Learning Mathematics through Representations: Curriculum design. Presentation in the symposium, Learning Mathematics through Representations: Research-based Curriculum, at the annual meeting of the American Education Research Association, Vancouver, B. C.
Diakow, R., & Saxe, G. B. (2012). Assessing effects of Learning Mathematics through Representations on student learning. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Earnest, D., Sitabkhan, Y. & Saxe, G. B. (2012). Learning Mathematics through Representations: Foundational developmental research. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Gearhart, M., & Saxe, G. B. (2012). Learning Mathematics through Representations: Curriculum design. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Saxe, G. B. (2012). Discussant for symposium on “Representing and supporting the development of epistemic practices in classroom communities.” Richard Lehrer, Chair. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Saxe, G. B. (2012). Discussion of David Henry Feldman’s, “Reconceptualizing cognitive development: Should cultural knowledge domains be part of the discussion?” (additional discussants: Willis F. Overton, Juan Pascual-Leone). 42nd Annual Meeting of the Jean Piaget Society, Rethinking Cognitive Development. Toronto, Ontario, Canada.
Saxe, G. B. (2012). Learning Mathematics through Representations: Overview. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Saxe, G. B. (2012). Learning Mathematics through Representations: Wrap-up and ongoing research. 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Saxe, G. B. (2012). Topic study group co-organizer, discussant (four sessions). Teaching and learning of number systems and arithmetic focusing especially on primary education. International Congress of Mathematics Education. Seoul, South Korea.
Saxe, G.B. (2012). Discussant for symposium, “Lesson study supported by mathematical resources: A theoretical framework, randomized Ttrial, and implications for reform” (Perry, R.R. & Lewis, C.C., Friedkin, S.) Symposium Organizers and Presenters). 2012 Annual Meeting of the American Educational Research Association. Vancouver, CA.
Saxe, G. B., Gearhart, M., Earnest, D. E., Shaughnessy, M. M., & Sitabkhan, Y. (2011). Learning Mathematics through Representations: Symposium. Paper presented at the 2011 Annual Meetings of the Jean Piaget Society, Berkeley, CA.
Gearhart, M. (2011, June). Curriculum design. Presentation in the symposium, Learning Mathematics through Representations, at the annual meeting of the Jean Piaget Society, Berkeley, CA.
Saxe, G. B., Gearhart, M., Earnest, D., Haldar, L. C., Kang, B. Lewis, K., McKerracher, A., Sitabkhan, Y., Zheng, Y., and Shaughnessy, M. (2009, May). Learning Mathematics through Representations: Development of a Research-based curriculum on integers and fractions. Poster symposium presented at the annual meeting of the American Education Research Association, Denver, CO.
Saxe, G. B., Shaughnessy, M. M., Gearhart, M., Haldar, L., Earnest, D., & Sitabkhan, Y. (2009, April). Learning Mathematics through Representations: Research and curriculum design. Workshop for the Research Pre-session of the 2009 NCTM Annual Meeting and Exposition of the National Council of Teachers of Mathematics, San Diego, CA.