# Rachael Welder

Associate Professor of Mathematics Education

rwelder@hunter.cuny.edu

212 772-4697

1105 West

Website: www.rachaelwelder.com

**Research Interests:** Elementary teacher preparation, mathematical knowledge for teaching, task design, the development of mathematics teacher educators

Rachael M. Welder is an associate professor of mathematics education who joined the Departments of Curriculum & Teaching and Mathematics & Statistics at Hunter College in 2007. Dr. Welder earned a B.S. in Mathematics and Mathematics Teaching with a minor in Accounting from the University of Mary, Bismarck, ND, where she obtained secondary mathematics teaching credentials. She then earned an M.S. in Mathematics from the University of North Dakota, where she studied Topology, Analysis, and Game Theory. Dr. Welder’s Ph.D. in Mathematics, with Specialization in Mathematics Education, from Montana State University focused on preservice elementary teachers’ specialized mathematical content knowledge of prerequisite algebra concepts.

### Teaching

Dr. Welder currently teaches undergraduate and graduate mathematics and mathematics education courses for the Departments of Curriculum & Teaching and Mathematics & Statistics. She works with prospective and practicing teachers in the School of Education’s graduate childhood education programs that lead to certification and specialization in mathematics/science. Her courses focus on the rich development of mathematical content, pedagogy, and research methods.

### Research

**Selected Publications**

Thanheiser, E., Olanoff, D., Hillen, A., Feldman, Z., Tobias, J. M., & Welder, R. M. (in press). Going beyond task implementation: The importance of collecting and analyzing student data to reflect on and modify tasks.* Journal of Mathematics Teacher Education*.

Sharp, J. & Welder, R. M. (2014). Reveal limitations through fraction division problem posing. *Mathematics Teaching in the Middle School,* 19(9), 540-547.

Tobias, J. M., Olanoff, D., Hillen, A., Welder, R. M., Feldman, Z., & Thanheiser, E. (2014). Research-based modifications of elementary school tasks for use in teacher preparation. In K. King (Ed.), *Annual Perspectives in Mathematics Education: Using Research to Improve Instruction* (pp. 181-192). Reston, VA: National Council of Teachers of Mathematics.

Thanheiser, E., Hillen, A., Olanoff, D., Feldman, Z., Welder, R. M., & Tobias, J. M. (2013). Task design in mathematics content courses for preservice elementary teachers: A collaborative approach. In M. V. Martinez & A. Castro Superfine (Eds.), *Proceedings of the 35th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 893-896). Chicago, IL: University of Illinois at Chicago.

Welder, R. M. (2012). Improving algebra preparation: Implications from research on student misconceptions and difficulties. *School Science and Mathematics*, 112(4), 255-264.

Cherkas, B. & Welder, R. M. (2012). Interactive web-based tools for learning mathematics: Best practices. In A. A. Juan, M. A. Huertas, S. Trenholm, & C. Steegmann (Eds.), *Teaching Mathematics Online: Emergent Technologies and Methodologies* (IGI Series in Advances in Distance Education Technologies) (pp. 276-310). Hershey, PA: IGI Global.

Welder, R. M. (2012). Dylan’s multidigit subtraction strategy. *Teaching Children Mathematics*, 18(6), 392-394.

Welder, R. M. & Jong, C. (2012). Examining connections between mathematical knowledge for teaching and conceptions about mathematics teaching and learning. In L. R. Van Zoest, J.-J. Lo, & J. L. Kratky (Eds.), *Proceedings of the 34th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 773-776). Kalamazoo, MI: Western Michigan University.

McCloskey, A., Beisiegel, M., Eli, J., Welder, R. M., & Yow, J. (2012). Parallel transitions: Challenges faced by new mathematics teachers and new mathematics teacher educators. In L. R. Van Zoest, J.-J. Lo, & J. L. Kratky (Eds.), *Proceedings of the 34th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 737-740). Kalamazoo, MI: Western Michigan University.

Welder, R. M. & Champion, J. (2011). Toward an understanding of graduate preservice elementary teachers as adult learners of mathematics. *Adults Learning Mathematics: An International Journal,* 6(1), 20-40.

Welder, R. M., Hodges, T. E., & Jong, C. (2011). Measuring changes in teachers’ beliefs, attitudes, and dispositions related to experiences in mathematics. In L. R. Wiest & T. Lamberg (Eds.), *Proceedings of the 33rd Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 2118-2125). Reno, NV: University of Nevada, Reno.

Welder, R. M. & Simonsen, L. M. (2011). Elementary teachers’ mathematical knowledge for teaching prerequisite algebra concepts. *Issues in the Undergraduate Mathematics Preparation of School Teachers: The Journal*, 1: Content Knowledge, 1-16.