Bajwa, N., Welder, R. M., Feldman, Z., Olanoff, D., Tobias, J. M., and Thanheiser, E. (2019, February). *Fostering Representational Fluency: Deepening Prospective Teachers’ Understanding of Multiplication*. Presentation for the 23rd Annual Conference of the Association of Mathematics Teacher Educators. Orlando, FL, February 2019.

# Using the array model to develop prospective teachers’ understanding of multiplication and its properties

Olanoff, D., Bajwa, N. P., Feldman, Z., Thanheiser, E., Welder, R. M., & Tobias, J. M. (2018). Using the array model to develop prospective teachers’ understanding of multiplication and its properties. In T. E. Hodges, G. J. Roy, & A. M. Tyminski (Eds.), *Proceedings of the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education *(p. 833). Greenville, SC: University of South Carolina & Clemson University.

# 2018 PME-NA: Using the Array Model to Develop Prospective Teachers’ Understanding of Multiplication and its Properties

Olanoff, D., Bajwa, N., Feldman, Z., Thanheiser, E., Welder, R. M., & Tobias, J. M. (2018, November). *Using the Array Model to Develop Prospective Teachers’ Understanding of Multiplication and its Properties*. Poster presentation for the 40th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Greenville, SC: South Carolina University.

# 2018 NE RUME: Designing Tasks for Mathematics Content Courses for Prospective Teachers

Tobias, J. M., & Olanoff, D. (2018). *Designing Tasks for Mathematics Content Courses for Prospective Teachers*. Presentation for the 2nd Northeastern Research in Undergraduate Mathematics Education Conference. New Brunswick, NJ.

# 2017 AMTE: Fraction Learning Trajectories in Content Courses for Prospective K-8 Teachers

Tobias, J. M., Feldman, Z., Welder, R. M., Dana Olanoff, D. (2017, February). *Fraction Learning Trajectories in Content Courses for Prospective K-8 Teachers*. Presentation at the 21st Annual Conference of the Association of Mathematics Teacher Educators. Orlando, Florida.

SLIDES | HANDOUT

# Greater number of larger pieces: A strategy to promote prospective teachers’ fraction number sense development

Olanoff, D., Feldman, Z., Welder, R. M., Tobias, J. M., Thanheiser, E., & Hillen, A. (2016). Greater number of larger pieces: A strategy to promote prospective teachers’ fraction number sense development. In M. B. Wood, E. E. Turner, M. Civil, & J. A. Eli (Eds.), *Proceedings of the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education *(pp. 799-805). Tucson, AZ: University of Arizona.

# 2016 PME-NA: Greater Number of Larger Pieces: A Strategy to Promote Prospective Teachers’ Fraction Number Sense Development

Olanoff, D., Feldman, Z., Welder, R. M., Tobias, J. M., Thanheiser, E., Hillen, A. (2016, November). *Greater Number of Larger Pieces: A Strategy to Promote Prospective Teachers’ Fraction Number Sense Development*. Presentation at the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, Arizona.

SLIDES | HANDOUT

# Reflective analysis as a tool for task redesign: The case of prospective elementary teachers solving and posing fraction comparison problems

Thanheiser, E., Olanoff, D., Hillen, A., Feldman, Z., Tobias, J. M., & Welder, R. M. (2016). Reflective analysis as a tool for task redesign: The case of prospective elementary teachers solving and posing fraction comparison problems. *Journal of Mathematics Teacher Education*, 19(2-3), 123-148.

# When is a mathematical task a good task?

Feldman, Z., Thanheiser, E., Welder, R. M., Tobias, J. M., Hillen, A. F., & Olanoff, D. (2016). When is a mathematical task a good task? In L. C. Hart, S. Oesterle, S. S. Auslander, & A. Kajander (Eds.), *The Mathematics Education of Elementary Teachers: Issues and Strategies for Content Courses *(pp. 9-24). Charlotte, NC: Information Age Publishing.

# Modifying children’s tasks into cognitively demanding tasks for preservice elementary teachers

Welder, R. M., Tobias, J. M., Feldman, Z., Hillen, A., Olanoff, D., & Thanheiser, E. (2015). Modifying children’s tasks into cognitively demanding tasks for preservice elementary teachers. In T. G. Bartell, K. N. Bieda, R. T. Putnam, K. Bradfield, & H. Dominguez (Eds.), *Proceedings of the 37th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 984-987). East Lansing, MI: Michigan State University.

# 2015 PME-NA: Modifying children’s tasks into cognitively demanding tasks for preservice elementary teachers

Welder, R. M., Tobias, J. M., Feldman, Z., Hillen, A., Olanoff, D., & Thanheiser, E. (2015, November). *Modifying Children’s Tasks into Cognitively Demanding Task for Preservice Elementary Teachers*. Presentation for the 37th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. East Lansing, MI: Michigan State University.

SLIDES

# 2015 NCTM: Moving Beyond Common Denominators: Comparing Fractions Using Reasoning and Sense-Making

# 2015 AMTE: Using Reflective Analysis to Modify Mathematical Tasks After Enactment

Tobias, J. M., Hillen, A., Olanoff, D., Welder, R. M., Thanheiser, E., & Feldman, Z. (2015, February). *Using Reflective Analysis to Modify Mathematical Tasks After Enactment*. Presentation at the 19th Annual Conference of the Association of Mathematics Teacher Educators. Orlando, Florida.

SLIDES

# 2014 PME: Facilitating Prospective Teachers’ Fraction Number Sense Development Through Problem Solving and Problem Posing

Olanoff, D., Hillen, A. F., Tobias, J. M., Welder, R. M., Thanheiser, E., & Feldman, Z. (July 2014). *Facilitating Prospective Teachers’ Fraction Number Sense Development Through Problem Solving and Problem Posing*. Short oral presentation at the 38th Annual Conference of the International Group for the Psychology of Mathematics Education. Vancouver, CA: University of British Columbia.

SLIDES

# 2014 PME: Prospective Elementary Teachers’ Analysis of Student Thinking

Feldman, Z., Tobias, J. M., Olanoff, D., Thanheiser, E., Hillen, A. F., & Welder, R. M. (July 2014). *Prospective Elementary Teachers’ Analysis of Student Thinking*. Short oral presentation at the 38th Annual Conference of the International Group for the Psychology of Mathematics Education. Vancouver, CA: University of British Columbia.

SLIDES

# Facilitating prospective teachers’ fraction number sense development through problem solving and problem posing

Olanoff, D., Hillen, A. F., Tobias, J. M., Welder, R. M., Thanheiser, E., & Feldman, Z. (2014). Facilitating prospective teachers’ fraction number sense development through problem solving and problem posing. In P. Liljedahl, C. Nicol, S. Oesterle, & D. Allan (Eds.),* Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education* (Vol. 6; p. 187). Vancouver, Canada: PME.

# 2014 R.L. Moore Legacy Conference: Modifying Children’s Mathematical Tasks for Use in Inquiry-Based Learning Content Courses for Prospective Elementary Teachers

Olanoff, D., Hillen, A., Thanheiser, E., Welder, R. M., Feldman, Z., & Tobias, J. M. (2014, June). *Modifying Children’s Mathematical Tasks for Use in Inquiry-Based Learning Content Courses for Prospective Elementary Teachers*. Presentation at the 17th Annual Legacy of R.L. Moore—Inquiry-Based Learning Conference. Denver, Colorado.

SLIDES | HANDOUT

# Prospective elementary teachers’ analysis of student thinking

Feldman, Z., Tobias, J. M., Olanoff, D., Thanheiser, E., Hillen, A. F., & Welder, R. M. (2014). Prospective elementary teachers’ analysis of student thinking. In P. Liljedahl, C. Nicol, S. Oesterle, & D. Allan (Eds.),* Proceedings of the 38th Conference of the International Group for the Psychology of Mathematics Education* (Vol. 6; p. 67). Vancouver, Canada: PME.

# Research-based modifications of elementary school tasks for use in teacher preparation

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.

# 2014 AMTE: Modifying Children’s Mathematical Tasks for Use in Content Courses for Prospective Elementary Teachers

Hillen, A., Olanoff, D., Welder, R. M., Feldman, Z., Tobias, J. M. & Thanheiser, E. (February 2014). *Modifying Children’s Mathematical Tasks for Use in Content Courses for Prospective Elementary Teachers. *Extended Session (Workshop) at the 18th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

SLIDES | HANDOUT