2020 Presentations

Beckmann, S., & Izsák, A. (2020). A potential foundation for trigonometry and calculus: The variableparts perspective on proportional relationships and geometric similarity. Paper presented at the twentythird Conference on Research in Undergraduate Mathematics Education, Boston, MA.

Izsák, A., & Beckmann, S. (2020). Future teachers’ use of multiplication and division to formulate linear equations. Paper presented at the twentythird Conference on Research in Undergraduate Mathematics Education, Boston, MA.
2019 Presentations

Beckmann, S. (2019, March). Two ways students might think about slope and the one that is more useful for calculus. Paper presented at the Spring Central and Western Joint Sectional Meeting of the American Mathematical Society, Honolulu, Hawaii.

Beckmann, S. (2019, March). How is multiplication a coherent concept across whole numbers and fractions? Invited featured speaker at the 2019 Philip C. Curtis Jr. Center for Mathematics and Teaching Conference, Los Angeles, CA: UCLA.

Huang, X., Kang, R., Shen, Y., & Izsák, A. (2019, November). Validation of a U.S. instrument for diagnosing mathematics teacher knowledge for use in China. Paper presented at the 41st Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education. St. Louis, MO: University of Missouri.

Beckmann, S., & Izsák, A. (2019, July). Interpretations of number and implications for multiplicative reasoning. Paper presented at the 43rd Conference of the International Group for the Psychology of Mathematics Education. Pretoria, South Africa: PME.

Izsák, A., & Beckmann, S. (2019, July). Future teachers’ use of variables to formulate linear equations. Paper presented at the 43rd Conference of the International Group for the Psychology of Mathematics Education. Pretoria, South Africa: PME.

Izsák, A., & Beckmann, S. (2019, April). Coordinating knowledge resources, multiplication equations, and problem situations. Paper presented at the American Educational Research Association, Toronto, Canada.

Ölmez, İ. B., & Izsák, A. (2019, April). Diagnosing reasoning to measure future teachers’ facility with fraction arithmetic. Paper presented at the National Council of Teachers of Mathematics Research Conference. San Diego, CA.
2018 Presentations

Stevenson, D. L., Beckmann, S., Johnson, S. E. & Kang, R. (2018, November). Quantitative (and nonQuantitative) methods used by future teachers for solving probabilitybased proportion problems. Paper to be presented at the 40th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Greenville, SC: Clemson University.

Beckmann, S., & Izsák, A. (2018, July). Two senses of unit words and implications for topics related to multiplication. Paper presented at the FortySecond Conference of the International Group for the Psychology of Mathematics Education, Umea, Sweden: PME.

Izsák, A., & Beckmann, S. (2018, July). Using equations to develop a coherent approach to multiplication and measurement. Paper presented at the FortySecond Conference of the International Group for the Psychology of Mathematics Education, Umea, Sweden: PME.

Beckmann, S. (2018, April). The surprising depth and complexity of elementary school mathematics and the mathematical education of teachers. Award for excellence in mathematics education lecture, Texas A & M University, College Station, Texas.

Izsák, A. (2018, April). Developing a coherent approach to multiplication in school mathematics. Presented at Tufts University, Medford, MA.

Izsák, A., & Beckmann, S. (2018, April). Unifying situations in the multiplicative conceptual field: The case of rectangular area. Paper presented at the National Council of Teachers of Mathematics Research Conference, Washington, DC.

Ölmez, İ. B., & Izsák, A. (2018, April). Measuring middle grades teachers’ reasoning about fractions with the mixture Rasch model. Poster presented at the American Educational Research Association, New York City, NY.

Ölmez, İ. B., & Izsák, A. (2018, April). Mixture Rasch analysis of middle grades teachers’ reasoning about fractions. Paper presented at the National Council of Teachers of Mathematics Research Conference, Washington, D. C.

Stevenson, D. L., Beckmann, S., Johnson, S. E. & Kang, R. (2018, April). Future teachers' methods for solving probabilitybased proportion problems. Poster presented at the National Council of Teachers of Mathematics Research Conference, Washington, D. C.

Beckmann, S., & Izsák, A. (2018, February). Generating equations for proportional relationships using magnitude and substance conceptions. Paper presented at the twentyfirst Conference on Research in Undergraduate Mathematics Education, San Diego, CA.

Izsák, A., & Beckmann, S. (2018, February). Future middle grades teachers' coordination of knowledge within the multiplicative conceptual field. Paper presented at the twentyfirst Conference on Research in Undergraduate Mathematics Education, San Diego, CA.

Kulow, T., Beckmann, S., Johnson, S., & Stevenson, D. L. (2018, February). Preservice teachers' reasoning about multiplication, division, and proportions in terms of quantities: What is challenging? Presentation at an extended session at the Association of Mathematics Teacher Educators,Houston, TX.
2017 Presentations

Beckmann, S. (2017, November). Reasoning about proportional relationships from a variableparts perspective. Plenary presentation, conference on mathematics education, Stockholm University, Stockholm, Sweden.

Beckmann, S. (2017, May). Why should future middlegrades and secondary teachers study multiplication? Invited plenary presentation at the Rutgers University, New Brunswick, NJ.

Izsák, A., Barrett, J., Beckmann, S., Cullen, C., & Kulow, T. (2017, April). New research integrating measurement and multiplication in middle grades. Research symposium presented at the Research Conference of the National Council of Teachers of Mathematics, San Antonio, TX.

Beckmann, S. & Izsák, A. (2017, April). Reasoning with variable parts and strip diagrams to develop equations. Research report presented at the Research Conference of the National Council of Teachers of Mathematics, San Antonio, TX.

Ölmez, İ.B. (2017, April). Developing equations using a definition for multiplication. Research report presented at the Research Conference of the National Council of Teachers of Mathematics, San Antonio, TX.

Beckmann, S. (2017, March). The surprising depth and complexity of elementary and middlegrades mathematics and the mathematical education of teachers. Invited presentation at the Amherst College, Amherst, MA.

Beckmann, S., Izsák, A., Stevenson, D., Kulow, T., & Ölmez, İ.B. (2017, February). Reasoning with the Variable Parts and Multiple Batches perspectives on proportional relationships. Presentation at an extended session at the Association of Mathematics Teacher Educators, Orlando, FL.

Kulow, T. (2017, February). Preservice teachers' emerging capacity to reason with the Variable Parts Perspective on proportional relationships. Presentation at the Association of Mathematics Teacher Educators, Orlando, FL.

Ölmez, İ.B. (2017, February). Future teachers' use of the definition of multiplication when interpreting "standard" proportion equations. Presentation at the Association of Mathematics Teacher Educators, Orlando, FL.

Beckmann, S. (2017, January). Could a variable parts perspective on proportional relationships be useful in trigonometry, calculus, and probability? Presentation at the Joint National Meeting of the American Mathematical Society and the Mathematical Association of America, Atlanta, GA.

Izsák, A. (2017, January). Advances studying teachers' facility with fraction arithmetic and proportional relationships. Invited presentation at Korea National University of Education, Cheongju, Korea.

Izsák, A. (2017, January). Applying psychometric models and mathematical analysis of multiplication to advance teacher education. Invited presentation at the Korean Society of Mathematical Education, Seoul National University, Seoul, Korea.
2016 Presentations

Izsák, A., Beckmann, S. & Bradshaw, L. (2016, November). Diagnosing reasoning to measure growth in preservice middle grades teachers' facility with fraction arithmetic. Paper presented at the ThirtyEighth Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ.

Kulow, T., Izsák, A. & Stevenson, D. (2016, November). Measuring shifts in reasoning about fraction arithmetic in a middle grades number and operations content course. Paper presented at the ThirtyEighth Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ.

Ölmez, İ.B., & Beckmann, S. (2016, November). Interpreting "Standard" proportion equations in terms of a quantitative definition for multiplication. Poster presented at the ThirtyEighth Conference of the North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ.

Beckmann, S., Izsák, A., Jung, E., & Ölmez, İ.B. (2016, July). Fractional multipliers in equations for proportional relationships. Paper presented at the Thirteenth International Congress on Mathematical Education, Hamburg, Germany.

Izsák, A., Beckmann, S., Jung, E., & Ölmez, İ.B. (2016, July). Connecting multiplication, unit fractions, and equations. Paper presented at the Thirteenth International Congress on Mathematical Education, Hamburg, Germany.

Ölmez, İ.B., Izsák, A., & Beckmann, S. (2016, July). Future teachers' use of multiplication and fractions when expressing proportional relationships. Paper presented at the Thirteenth International Congress on Mathematical Education, Hamburg, Germany.

Izsák, A., Beckmann, S. & Bradshaw, L. (2016, May). Validating preservice middle grades teachers' fraction arithmetic profiles. Paper presented at the University of Georgia Mathematics Education 50th Anniversary Conference, Athens, GA.

Kulow, T., Izsák, A., & Stevenson, D. (2016, May). Measuring shifts in reasoning about fraction arithmetic in a middle grades number and operations content course. Paper presented at the University of Georgia Mathematics Education 50th Anniversary Conference, Athens, GA.

Izsák, A., & Beckmann, S. (2016, April). Extending multiplicative relationships using variable parts. Paper presented at the Research Conference of the National Council of Teachers of Mathematics, San Francisco, CA.

Norton, A., Izsák, A., Beckmann, S., Hackenberg, A. J., & Simon, M. (2016, April). New research on extending multiplicative relationships beyond whole numbers. Presentation at a research symposium at the Research Conference of the National Council of Teachers of Mathematics, San Francisco, CA.
2015 Presentations

Beckmann, S. (2015, June). Constructing mathematical arguments using definitions with precision in middlegrades teacher education in the USA. Presentation at the conference of the International Commission on Mathematics (ICMI) Study 23: Primary Mathematics Study on Whole Numbers. Macau, China.

Beckmann, S., Izsák, A., & Ölmez, İ.B. (2015, June). From multiplication to proportional reasoning. Paper presented at the conference of the International Commission on Mathematics (ICMI) Study 23: Primary Mathematics Study on Whole Numbers. Macau, China.

Izsák, A. (2015, June). Using a quantitative meaning for multiplication to help future teachers integrate multiplication topics. Presented at the International Society of Educational Research World Conference on Education, Istanbul, Turkey.

Izsák, A. (2015, April). Diagnosing teachers' multiplicative reasoning. Presented as part of a discussion session at the Research Conference of the National Council of Teachers of Mathematics, Boston, MA.

Ölmez, İ.B. (2015, April). Preservice teachers' understandings of division and proportional relationships with quantities. Presentation at the Annual Meeting of the National Council of Teachers of Mathematics, Boston, MA.

Beckmann, S., Izsák, A., & Ölmez, İ.B. (2015, February). An overlooked perspective on proportional relationships: Variable parts. Presentation at a symposium at the Association of Mathematics Teacher Educators, Orlando, FL.

Ölmez, İ.B. (2015, February). The connections between multiplication and division, and two distinct perspectives on ratios. Presentation at the Association of Mathematics Teacher Educators, Orlando, FL.

Beckmann, S., & Izsák, A. (2015). Podcast. "Two perspectives on proportional relationships: Extending complementary origins of multiplication in terms of quantities."
2014 Presentations

Bradshaw, L., & Izsák, A. (2014). Podcast. "Diagnosing teachers' understandings of rational number: Building a multidimensional test within the diagnostic classification model framework."

Beckmann, S., & Izsák, A. (2014, July). Variable parts: A new perspective on proportional relationships and linear functions. Paper presented at the Joint Meeting of ThirtyEighth Conference of the International meeting of the Psychology of Mathematics Education and the ThirtySixth meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Vancouver, Canada.

Izsák, A., & Jacobson, E. (2014, July). Relationships between teacher characteristics and knowledge profiles for fractions. Paper presented at the Joint Meeting of ThirtyEighth Conference of the International meeting of the Psychology of Mathematics Education and the ThirtySixth meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Vancouver, Canada.

Beckmann, S., & Izsák, A. (2014, April). Teachers’ reasoning about proportional relationships as variable parts. Paper presented at the Research Conference of the National Council of Teachers of Mathematics, New Orleans, LA.

Beckmann, S., & Izsák, A. (2014, January). How future teachers use two distinct definitions to reason about proportional relationships. Paper presented at the Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, Baltimore, MD.
2013 Presentations

Jacobson, E., & Izsák, A. (2013, April). Understanding teachers’ inferences of proportionality between quantities that form a constant difference or constant product. Paper presented at the Research Presession of the National Council of Teachers of Mathematics, Denver, CO.

Beckmann, S., & Izsák, A. (2013, January). How prospective grades 68 teachers use two definitions of ratio. Paper presented at the Joint Mathematics Meetings of the American Mathematical Society and the Mathematical Association of America, San Diego, CA.