## International Research Presentations

Olanoff, D., Welder, R. M., Prasad, P., & Superfine, A. (accepted for November 2018). *Fractalization as a Metaphor for Mathematical Knowledge for Teaching Teachers: Synthesizing the Frameworks and Exploring the Consequences*. Brief report to be presented at the 40th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.Greenville, SC: South Carolina University.

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

Welder, R. M., Prasad, P., Castro-Superfine, A., & Olanoff, D. (2017, November). *Developing a Framework for Mathematical Knowledge for Improving the Content Preparation of Elementary Teachers*. Presentation at the39th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Indianapolis, IN: Purdue University.

Olanoff, D., Feldman, Z.,Welder, R. M., Tobias, J. M., Thanheiser, E., & Hillen, A. (2016, November). *Task Design for Preservice Elementary Teachers: Eliciting the Greater-Number-Of-Larger-Pieces Strategy for Fraction Comparison*. Presentation at the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ: University of Arizona.

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 at 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.

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

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

Thanheiser, E., Hillen, A., Olanoff, D., Feldman, Z.,Welder, R. M., & Tobias, J. M.(2013, November). *Task Design in Mathematics Content Courses for Preservice Elementary Teachers: A Collaborative Approach. *Presentation at the 35th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.Chicago, Illinois.

Welder, R. M., McCloskey, A., & Searle, S. P.(2013, November). *Teaching to Teach Without Having Taught: Mathematics Teacher Educators Preparing Elementary Teachers of Mathematics. *Poster presented at the 35th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Chicago, Illinois.

Welder, R. M. & Jong, C. (2012, November). *Examining Connections Between Mathematical Knowledge for Teaching and Conceptions about Mathematics Teaching and Learning. *Presentation at the 34^{th}Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Kalamazoo, Michigan.

McCloskey, A., Beisiegel, M., Eli, J., Welder, R. M., & Yow, J. (2012, November). *Parallel Transitions: Similarities Between Challenges Faced by New Mathematics Teachers and New Mathematics Teacher Educators. *Presentation at the 34^{th}Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Kalamazoo, Michigan [last four authors listed alphabetically to indicate equal contribution].

Eli, J. A., Beisiegel, M., McCloskey, A., Welder, R. M., & Yow, J. (2012, July). *Transitioning to Faculty: New Mathematics Teacher Educators’ Perceptions of Successful Doctoral Program Preparation. *Poster presented at the *12th International Congress on Mathematical Education*. Seoul, Korea [last four authors listed alphabetically to indicate equal contribution;author only].

Beisiegel, M., Eli, J., McCloskey, A., Welder, R. M., & Yow, J. (2012, April). *Becoming a Mathematics Teacher Educator: Novice Faculty Members’ Perceptions of the Impact of Doctoral Program Experiences. *Paper presented at the Annual Conference of the American Educational Research Association, Division J-Postsecondary Education. Vancouver, British Columbia [last four authors listed alphabetically to indicate equal contribution; author only].

Jong, C., Hodges, T. E., & Welder, R. M. (2012, April). *Conceptions of Mathematics in Related Contexts: Measuring Elementary Teachers’ Development Over Time. *Paper presented at the Annual Conference of the American Educational Research Association, SIG-Research in Mathematics Education. Vancouver, British Columbia [author only].

Welder, R. M., Hodges, T. E., & Jong, C. (2011, October). *Measuring Changes in Teachers’ Beliefs, Attitudes, and Dispositions Related to Experiences in Mathematics. *Presentation at the 33^{rd}Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Reno, Nevada [equal contribution; acceptance rate: 28%].

Beisiegel, M., Eli, J., McCloskey, A., Welder, R. M., & Yow, J. (2011, October). *Transforming Practices by Understanding Connections Between New Mathematics Teacher Educators and New K-12 Mathematics Teachers. *Poster presented at the 33^{rd}Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Reno, Nevada [equal contribution; acceptance rate: 28%].

Beisiegel, M., Eli, J., McCloskey, A., Welder, R. M., & Yow, J. (2011, October). *Mathematics Teacher Educators: A Missing Link in the Improvement and Scholarship
of Mathematics
Teacher Education.*Presentation at the Annual Conference of the International Society for the Scholarship of Teaching and Learning. Milwaukee, Wisconsin [last four authors listed alphabetically to indicate equal contribution; author only].

Welder, R. M.(2006, January). *Prerequisite Knowledge for the Learning of Algebra. *Presentation at the Annual Hawaii International Conference on Statistics, Mathematics and Related Fields. Honolulu, Hawaii.

## Working and Discussion Groups at International Conferences

Welder, R. M., Appova, A., Olanoff, D., Taylor, C. E., & Kulow, T. (2016, November). *Improving Preservice Elementary Teacher Education Through the Preparation and Support of Elementary Mathematics Teacher Educators*. Working group (3 sessions) held at the 38th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Tucson, AZ: University of Arizona. [working group leader]

Welder, R. M., Jansen, A., & McCloskey, A. (2014, July). *Preparing and Supporting Mathematics Teacher Educators: Opportunities and Challenges*. Discussion group at the 38th Annual Conference of the International Group for the Psychology of Mathematics Education. Vancouver, Canada: University of British Columbia. [discussion group leader]

Hart, L., …Welder, R. M., et al. (2013, November).*Developing Elementary Teachers’ Mathematical Knowledge
For Teaching: Identifying Important Issues*. Working group at the 35th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. Chicago, Illinois. [working group member]

Hart, L., Swars, S., Oesterle, S., & Kajander, A. (2012, November).*Developing Elementary Teachers’ Mathematical Knowledge
For Teaching: Building on What We Know*. Working group at the 34th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.Kalamazoo, Michigan. [working group member]

## National Research Presentations

Tobias, J. M.,Feldman, Z.,Welder, R. M., & 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.

Taylor, C. E., Appova, A., Welder, R. M., & Feldman, Z. (2016, January). *Supporting Mathematics Teacher Educators’ Work with Prospective Elementary Teachers: A Look Through Multiple Perspectives.*Invited symposium presentation at the 20th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

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.

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.

Welder, R. M & McCloskey, A. (2013, April). *Teaching to Teach Without Having Taught: New Mathematics Teacher Educators*. Presentation at the Research Presession of the National Council of Teachers of Mathematics Annual Meeting. Denver, Colorado.

Jong, C. & Welder, R. M.(2013,January). *Exploring Preservice Elementary Teachers’ Co-development of Mathematical Knowledge for Teaching and Conceptions about Mathematics. *Presentation at the 17th Annual Conference of the Association of Mathematics Teacher Educators. Orlando, Florida [equal contribution].

Welder, R. M., Hodges, T. E., & Jong, C. (2012, April). *Measuring Teachers’ Attitudes, Beliefs, and Dispositions Over Time.*Work Session at the National Council of Teachers of Mathematics Research Presession. Philadelphia, Pennsylvania.

Eli, J., Yow, J., & Welder, R. M.(2012, April). *Similarities Among New Teacher Educators and New K-12 Mathematics Teachers. *Presentation at the Research Presession of the National Council of Teachers of Mathematics Annual Meeting. Philadelphia, Pennsylvania [equal contribution].

Welder, R. M., Yow, J., Beisiegel, M., & Eli, J. (2012,February). *It’s Crazy and They Told Me It Would Be: Experiences of New Mathematics Teacher Educators. *Presentation at the 16th Annual Conference of the Association of Mathematics Teacher Educators. Fort Worth, Texas.

Hodges, T. E., Jong, C., & Welder, R. M.(2012,February). *Relationships between Preservice Elementary Teachers’ Conceptions of Mathematics, Field Experiences, and Methods Coursework. *Presentation at the 16th Annual Conference of the Association of Mathematics Teacher Educators. Fort Worth, Texas.

Reys, R., Welder, R. M., Newton, J., Fisher, B., & Safi, F.(2011, January). *STaR—Service, Teaching, and Research in Mathematics Education—An Opportunity for New Doctorates in Mathematics Education. *Invited member of panel discussion presentation at the 15th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

Welder, R. M. & Champion, J. K. (2011, January). *Supporting the Mathematical Development of Graduate Preservice Elementary Teachers. *Presentation at the 15th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

Welder, R. M., Hodges, T. E., & Jong, C. (2011, January). *Elementary Teacher Candidates: A Survey of Beliefs, Attitudes, and Experiences in Mathematics. *Poster presented at the 15th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

Welder, R. M., Beisiegel, M., Eli, J., McCloskey, A., & Yow, J. (2011, January). *New Mathematics Educators: How do the Experiences of New Mathematics Teachers and New Mathematics Teacher Educators Compare? *Poster presented at the 15th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California [equal contribution].

Welder, R. M.(2010, November). *Using Common Student Misconceptions in Algebra to Improve Algebra Preparation. *Presentation at the Annual Conference of the School Science and Mathematics Association. Fort Myers, Florida.

Welder, R. M. & Simonsen, L. (2010, January). *Enhancing Mathematical Knowledge for Teaching Prerequisite Algebra Concepts. *Presentation at the 14th Annual Conference of the Association of Mathematics Teacher Educators. Irvine, California.

## Workshops at National Conferences

Hillen, A., Olanoff, D., & Welder, R. M.(2015, April). *Moving Beyond Common Denominators: Comparing Fractions Using Reasoning and Sense-Making*. Workshop at the National Council of Teachers of Mathematics Annual Meeting. Boston, Massachusetts.

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

Welder, R. M. & Latullipe, C. L. (2013, April). *Arithmetic Fluency and Differentiated Instruction through Alternative Algorithms. *Workshop at the National Council of Teachers of Mathematics Annual Meeting. Denver, Colorado.

Welder, R. M. & Latullipe, C. L. (2011, April). *Building Algebraic Reasoning: Research Based Activities for a Strong Foundation. *Workshop at the National Council of Teachers of Mathematics Annual Meeting. Indianapolis, Indiana.

## Selected Regional Research Presentations

Welder, R. M.(2015, October). *Building Knowledge of Operations through Alternative and Multicultural Algorithms**. *Presentation at the 54th Annual Northwest Math Conference. Whistler, British Columbia, Canada.

Welder, R. M.(2015, May). *Mathematical**Task Design for Preparing Elementary Teachers. *Presentation at the School of Education Research Seminar, Hunter College. New York, New York.

Welder, R. M. & Simonsen, L. (2009, October). *Developing Elementary School Teachers’ Mathematical Knowledge Needed for Teaching Prerequisite Algebra Concepts. *Presentation at the National Council of Teachers of Mathematics Regional Conference. Boston, Massachusetts.

Welder, R. M.(2009, May). *A Look at Student Misconceptions and Obstacles in Learning Algebra. *Presentation at the Annual Sharing Our Success Conference in Urban Science and Math Teaching. New York University, New York, New York.

Welder, R. M.(2008, November). *Improving Algebra Preparation: What Research Says About Student Misconceptions and Difficulties. *Presentation at the Annual Conference of the Association of Mathematics Teachers of New York. Rye, New York.

Welder, R. M.(2005, March). *Lessons Learned from Teaching Kindergarten and Fifth-Grade Mathematics. *Presentation at a graduate mathematics education seminar, Montana State University. Bozeman, Montana.

Welder, R. M.(2003, April). *Iterated Prisoner’s Dilemma. *Presentation at a graduate mathematics colloquium, University of North Dakota. Grand Forks, North Dakota.

## Invited Research Presentations

Welder, R. M.(2011, March). *Interactive Web-based Tools for Learning Elementary Mathematics. *Invited speaker at the Annual Long Island Math Conference (LIMAzON). Old Westbury, New York.

Welder, R. M.(2009, February). *Personality as a Factor in Mathematics Performance. *Invited speaker at the Mathematics Center for Learning and Teaching, Hunter College. New York, New York. Funding provided by the Mathematics and Science Partnership Grant for District 30.

Welder, R. M.(2008, December). *Algebra Misconceptions.*Invited speaker at a seminar for doctoral students, *How People Learn Mathematics and Why Many Do Not*,CUNY Graduate Center, New York, New York.

Welder, R. M.(2008, May). *An Investigation of Multiple Factors Leading to the Academic Challenges of Early College Seniors in Collegiate Level Mathematics Courses. *Invited poster presentation at the Partnership for Teacher Excellence Curriculum Exposition. New York, New York.

Welder, R. M. & Nwosu, N. (2008, May). *Reshaping Teacher Education: Formative Assessment as the Basis for New Teaching Tools and an Innovative Apprenticeship. *Invited poster presentation at the Partnership for Teacher Excellence Curriculum Exposition. New York, New York.

## Presentation Proposals Under Review

Welder, R. M.and Champion, J. (under review). *Mindfulness Practices in Mathematics Teacher Education*. Submitted to the 23^{rd}Annual Conference of the Association of Mathematics Teacher Educators. Orlando, FL, February 2019.

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