Scholarship

Editorial Work

Appova, A., Welder, R. M., & Feldman, Z. (Eds.) (in progress for 2019 publication). Supporting mathematics teacher educators’ knowledge and practices for teaching content to prospective (grades K-8) teachers, a special issue of The Mathematics Enthusiast (proposal accepted July 2017).

Refereed Journal Articles and Book Chapters

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. DOI: 10.1007/s10857-015-9334-7

Yow, J., Eli, J., Beisiegel, M., McCloskey, A., & Welder, R. M. (2016). Challenging transitions and crossing borders: Preparing novice mathematics teacher educators to support novice K-12 mathematics teachers. Mathematics Teacher Education and Development, 18(1), 52-69 [last three authors listed alphabetically to indicate equal authorship]. https://www.merga.net.au/ojs/index.php/mted/article/view/222

Jong, C., Hodges, T. E., Royal, K. D., & Welder, R. M. (2015). Instruments to measure elementary preservice teachers’ conceptions: An application of the Rasch rating scale model. Educational Research Quarterly, 39(1), 21-48 [last two authors listed alphabetically to indicate equal authorship]. http://erquarterly.org/index.php?pg=content

Sharp, J. & Welder, R. M. (2014). Reveal limitations through fraction division problem posing. Mathematics Teaching in the Middle School, 19(9), 540-547. DOI: 10.5951/mathteacmiddscho.19.9.0540

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. http://www.nctm.org/Store/Products/Annual-Perspectives-in-Mathematics-Education-2014–Using-Research-to-Improve-Instruction/

Welder, R. M. (2012). Improving algebra preparation: Implications from research on student misconceptions and difficulties. School Science and Mathematics, 112(4), 255-264. DOI: 10.1111/j.1949-8594.2012.00136.x

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 [equal authorship]. DOI: 10.4018/978-1-60960-875-0.ch014

Welder, R. M.(2012). Dylan’s multidigit subtraction strategy. Teaching Children Mathematics, 18(6), 392-394. DOI: 10.5951/teacchilmath.18.6.0392

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. http://www.alm-online.net/images/ALM/journals/almij-volume6_1_feb2011.pdf

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.
http://www.k-12prep.math.ttu.edu/journal/1.contentknowledge/welder01/article.pdf

Welder, R. M. (2010). Effects of personality on student performance in collegiate pre-calculus. The New Jersey Mathematics Teacher: Journal of the Association of Mathematics Teachers of New Jersey, 68(2), 15-20. http://amtnj.org/wp-content/uploads/2011/09/journal-dec-2010.pdf

Refereed Publications in Conference Proceedings

Olanoff, D., Welder, R. M., Prasad, P., & Superfine, A. (in press for 2018). Fractalization as a Metaphor for Mathematical Knowledge for Teaching Teachers: Synthesizing the Frameworks and Exploring the Consequences (4-page brief report). Proceedings of the 40th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Olanoff, D., Bajwa, N., Feldman, Z.,Thanheiser, E., Welder, R. M., & Tobias, J. M. (in press for 2018). Using the Array Model to Develop Prospective Teachers’ Understanding of Multiplication and its Properties (1-page poster description). Proceedings of the 40th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education.

Welder, R. M., Prasad, P., Castro-Superfine, A., & Olanoff, D. (2017). Developing a framework for mathematical knowledge for improving the content preparation of elementary teachers. In E. Galindo & J. Newton (Eds.), Proceedings of the 39th Annual Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education (p. 637). Indianapolis, IN: Purdue University.
https://www.conf.purdue.edu/landing_pages/pme-na/docs/PMENA39_2017_Proceedings.pdf

Welder, R. M., Appova, A., Olanoff, D., Taylor, C. E., & Kulow, T. (2016). Improving preservice elementary teacher education through the preparation and support of elementary mathematics teacher educators. 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. 1713-1722). Tucson, AZ: University of Arizona. http://www.pmena.org/pmenaproceedings/PMENA 38 2016 Proceedings.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 38 2016 Proceedings.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 37 2015 Proceedings.pdf

Welder, R. M., Jansen, A., & McCloskey, A. (2014). Preparing and supporting mathematics teacher educators: Opportunities and challenges. 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. 1; p. 248). Vancouver, Canada: PME. http://www.pmena.org/pmenaproceedings/PMENA 36 PME 38 2014 Proceedings Vol 1.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 36 PME 38 2014 Proceedings Vol 6.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 36 PME 38 2014 Proceedings Vol 6.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 35 2013 Proceedings.pdf

Welder, R. M., McCloskey, A., & Searle, S. P. (2013). Teaching to teach without having taught: Mathematics teacher educators preparing elementary teachers of mathematics. 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(p. 969). Chicago, IL: University of Illinois at Chicago. http://www.pmena.org/pmenaproceedings/PMENA 35 2013 Proceedings.pdf

Hart, L., Swars, S., Oesterle, S. Kajander, A., Browning, C. Thanheiser, E., … Yoder, M. (2013). Developing elementary teachers’ mathematical knowledge
for teaching: Identifying important issues. 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. 1292-1301). Chicago, IL: University of Illinois at Chicago. http://www.pmena.org/pmenaproceedings/PMENA 35 2013 Proceedings.pdf

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. http://www.pmena.org/pmenaproceedings/PMENA 34 2012 Proceedings.pdf

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 [last four authors listed alphabetically to indicate equal authorship]. http://www.pmena.org/pmenaproceedings/PMENA 34 2012 Proceedings.pdf

Eli, J., Beisiegel, M., McCloskey, A., Welder, R. M., & Yow, J. (2012). Transitioning to faculty: New mathematics teacher educators’ perceptions of successful doctoral program preparation. Proceedings of the 12th International Congress on Mathematical Education (p. 7945). Seoul, Korea [last four authors listed alphabetically to indicate equal authorship]. https://archive.org/details/springer_10.1007-978-3-319-12688-3

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. http://www.pmena.org/pmenaproceedings/PMENA 33 2011 Proceedings.pdf

Beisiegel, M., Eli, J., McCloskey, A., Welder, R. M., & Yow, J. (2011). Transforming practices by understanding connections between new mathematics teacher educators and new K-12 mathematics teachers. 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 (p. 1912). Reno, NV: University of Nevada, Reno [equal authorship]. http://www.pmena.org/pmenaproceedings/PMENA 33 2011 Proceedings.pdf

Welder, R. M. (2006). Prerequisite knowledge for the learning of algebra. Proceedings of the 5th Annual Hawaii International Conference on Statistics, Mathematics and Related Fields (pp. 1642-1667). Honolulu, Hawaii.

Additional Publications

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. http://www.infoagepub.com/products/The-Mathematics-Education-of-Elementary-Teachers

Welder, R. M. (2015). Preparing and Supporting Mathematics Teacher Educators: Opportunities and Challenges. International Group for the Psychology of Mathematics Education Newsletter, 19-20.

Welder, R. M. (2010). Iterated prisoner’s dilemma: A game theory approach to the mathematical study of cooperation. Saarbrücken: Lambert Academic Publishing AG & Co. KG.