## Carolyn Maher

### PROJECT AFFILIATION:

- NJ Partnership for Excellence in Middle School Mathematics
- Roles: Co-PI

- Access: Project Admin

### PROFESSIONAL ROLES

- Higher Ed: Education, Researcher

### BIO

Carolyn A. Maher is Professor II of Mathematics Education and the Director of the Robert B. Davis Institute for Learning at the Graduate School of Education, Rutgers. She is Editor of the Journal of Mathematical Behavior and has served on the Editorial Board of the Journal of Research in Mathematics Education. Her research, consisting of both cross-sectional and longitudinal studies, has focused on the development of mathematical ideas and mathematical reasoning in learners over time. Most noteworthy is the longitudinal study that followed the mathematical thinking of a cohort group of students doing mathematics in and out of classrooms, now in its 21st year and tracking the subjects as young professionals. This longitudinal study is featured in the Private Universe Project in Mathematics, a series of six video workshops for teacher professional development that was produced by the Harvard-Smithsonian Center for Astrophysics. The documentary, Surprises in Mind, published by RiverRun Media, features her long-term study. Recent research includes a three-year study of middle school students' informal mathematics learning in an after-school setting in an urban NJ school district. With the current Discovery Research K-12 grant from National Science Foundation, Maher and colleagues are now focusing on teacher education and how studying video episodes of children's learning from prior research potentially can improve teachers' abilities to reason mathematically. This latest NSF research project builds upon her current REESE Synthesis grant that selected video episodes on children's mathematical reasoning as representative samples from prior studies for inclusion in a prototype of a searchable database accessible via the Internet. Professor Maher has published over 60 refereed journal articles and book chapters, and has given over 30 invited lectures, plenary sessions, and keynote addresses. She was invited co-chair of the Topic Study Group for "New Trends in Mathematics Education Research" at the Eleventh International Congress on Mathematics Education, held in July 2008. She gave the invited keynote lecture Critical Thinking Skills in Schools and Museums at the Smithsonian Center for Education and Museum Studies in June 2007. She was a plenary speaker at the 26th PME in Norwich, England, 2002, Senior Lecturer at the International Congress for Mathematics Education in Copenhagen, Denmark, 2004, and Plenary Speaker at the University of Helsinki Conference in Finland, 2004.### EXPERTISE

Mathematics Education

### RECENT PUBLICATIONS

Maher, C. A. (2009). Children's reasoning: Discovering the idea of mathematical proof. In M. Blanton, D. Stylianou and E. Knuth (Eds.), Teaching and learning proof across the K-16 curriculum (pp. 120-132). New Jersey: Taylor Francis - Routledge.Maher, C. A. (2008). Video recordings as pedagogical tools in mathematics teacher education. In D. Tirosh and T. Wood (Eds.), International Handbook of Mathematics Teacher Education: Vol. 2: Tools and Processes in Mathematics

Teacher Education (pp. 65-83). Rotterdam, The Netherlands: Sense Publishers.

Francisco, J. M. & Maher, C. A. (in press). Teachers attending to students' mathematical reasoning: Lessons from an after-school research program. Journal of Mathematics Teacher Education.

Maher, C. A. & Weber, K. (in press). Representation Systems and Constructing Conceptual Understanding. Special Issue of the Mediterranean Journal for Research in Mathematics Education.

Mueller, M. & Maher, C. (in press). Promoting equity through reasoning. Teaching Children Mathematics.

Mueller, M. & Maher, C. A. (in press). Learning to reason in an informal math after-school program. Mathematics Education Research Journal.

Maher, C. A., Mueller, M. & Palius, M. F. (in press). Using an informal learning environment to promote mathematical reasoning among middle-school students. Mathematics Bulletin.

Mueller, M. & Maher, C. (2009). Convincing and justifying through reasoning. Mathematics Teaching in the Middle School 15 (2), 109-116.

Maher, C. & Weber, K. (2009). Precision in the teaching, learning, and communication of elementary school mathematics: A reply to Wilson's "Elementary School Mathematics Priorities." AASA Journal of Scholarship and Practice, 6(1), 50-53.

Weber, K., Maher, C. A., Powell, A. B. & Lee, H. S. (2008). Learning opportunities from group discussions: Warrants become the objects of debate. Educational Studies in Mathematics, 68, 247-261.

Maher, C. A. (2008). Video recordings as pedagogical tools in mathematics teacher education. In D. Tirosh and T. Wood (Eds.), International Handbook of Mathematics Teacher Education: Vol. 2: Tools and Processes in Mathematics Teacher Education (pp. 65-83). Rotterdam, The Netherlands: Sense Publishers.

Mueller, M., Yankelewitz, D. & Maher, C. (2009). A framework for analyzing the collaborative construction of arguments and its interplay with agency. In S. L. Swars, D. W. Stinson and S. Lemons-Smith (Eds.), Proceedings of the 31st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (5), 276-283, Atlanta, GA: Georgia State University.

Mueller, M., Yankelewitz, D. & Maher, C. (2009). Eliciting student reasoning through problem solving. In S. L. Swars, D. W. Stinson and S. Lemons-Smith (Eds.), Proceedings of the 31st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (5), 811-818, Atlanta, GA: Georgia State University.

Maher, C. A., Mueller, M. & Yankelewitz, D. (2009). A comparison of fourth and sixth grade students' reasoning in solving strands of open-ended tasks. In M. Tzekaki, M. Kaldrimidou & H. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, (4), 73-80, Thessaloniki, Greece.

Mueller, M., Maher, C. A. & Yankelewitz, D. (2009). Challenging the "Laws of Math". In M. Tzekaki, M. Kaldrimidou & H. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education, (4), 153-160, Thessaloniki, Greece.

Maher, C. A. (2008). The development of mathematical reasoning: A 16-year study. (Invited Senior Lecture for the 10th International Congress on Mathematics Education, published in book with electronic CD.) In M. Niss (Ed.), Proceedings of ICME 10 2004. Roskilde, DK: Roskilde University, IMFUFA, Department of Science, Systems and Models.

Palius, M. F., Anthony, L. J., Maher, C. A. & Moghe, P. (2008). Using discourse analysis to study learning communities in cross-disciplinary and other divergent contexts. To appear in the Proceedings from the 11th International Congress on Mathematics Education.

Anthony, L. J., Palius, M. F., Maher, C. A. & Moghe, P. (2008). Discourse-based communities of practice: Developing graduate students' abilities to communicate their research across disparate disciplines and experience levels. In the 2008 Annual Conference Proceedings of the American Society for Engineering Education. Electronic CD. Pittsburgh, PA. Available for download at: http://www.asee.org/conferences/ac2008.proceedings.cd/.