# Aaron Brakoniecki

## Program Director, Mathematics Education

Senior Lecturer

Dr. Aaron Brakoniecki is a senior lecturer and program director for the Mathematics Education program at Boston University Wheelock College of Education & Human Development. He currently teaches mathematics education courses to prospective and practicing middle and high school mathematics teachers. His research focuses on preservice teachers’ mathematics knowledge for teaching and the impacts of technology on that knowledge. Other areas of professional interest include supporting teachers’ uses of technology in their classrooms, the use of concept maps as a formative assessment tool, preservice teachers’ understanding of trigonometry and proportional reasoning, and the reading of geometric diagrams in mathematics texts.

Dr. Brakoniecki’s teaching primarily focuses on content courses for teachers (both secondary and elementary). These courses focus on the big ideas of content domains, exploring the content in deep, connected ways, along with implications of manipulatives, technology, standards, and curriculum in the teaching and learning of this content. Additionally, these courses investigate the ways in which different curricular approaches support the mathematical development of diverse learners.

Pronouns: he/him

### Recent News

### Education

PhD, Mathematics Education, Michigan State University

BS, Mathematics, Michigan State University

### Courses

WED ME 559 - Mathematics for Teachers: Geometry

WED ME 360/560 - Mathematics for Teachers: Algebra

WED ME 363/563 - Problem Solving in Mathematics

WED ME 546/547 - Methods for Teaching Middle and High School Mathematics

CAS MA 107 - Mathematical Reasoning in the Elementary Grades: Number Systems

CAS MA 108 - Mathematical Reasoning in the Elementary Grades: Algebra, Geometry, and Statistics

### Selected Publications

Amador, J. M., Brakoniecki, A., & Glassmeyer, D. (2022). Secondary teachers’ analytic stance of noticing based on video of proportional reasoning. International Journal of Mathematical Education in Science and Technology, 1–21. https://doi.org/10.1080/0020739X.2022.2053756

Glassmeyer, D., Brakoniecki, A., & Amador, J. M. (2021). Identifying and supporting teachers’ robust understanding of proportional reasoning. The Journal of Mathematical Behavior, 62. https://doi.org/10.1016/j.jmathb.2021.100873

Brakoniecki, A., Amador, J. M., & Glassmeyer, D. M. (2021). One Task, Multiple Proportional Reasoning Strategies. Mathematics Teacher: Learning and Teaching PK-12, 114(1), 33–40. https://doi.org/10.5951/MTLT.2019.0276

Amador, J., Glassmeyer, D., & Brakoniecki, A. (2020). Noticing before responding. Mathematics Teacher: Learning and Teaching Pre-K–12, 113(4), 310-316.

Dietiker, L. Riling, M., & Brakoniecki, A. (2018). Reading geometrically: changing expectations across K-12 for reading diagrams in textbooks. Proceedings of the 2nd International Conference on Mathematics Textbook Research and Development, Rio de Janeiro, Brazil.

Brakoniecki, A., Amador, J., Glassmeyer, D. (2018). Preservice teachers’ creation of dynamic geometry sketches to understand trigonometric relationships. Contemporary Issues in Technology and Teacher Education, 18(3), 494-507.

Glassmeyer D., Brakoniecki A., Amador J, (2018). Promoting uncertainty to support preservice teachers’ reasoning about the tangent relationship. International Journal of Mathematical Education in Science and Technology, 50(4), 527-556.

Brakoniecki, A., Glassmeyer, D., & Amador, J. (2016). Examining preservice teacher thinking about technology-based trigonometric explorations through a Replacing, Amplifying, and Transforming Framework. In *Proceedings of the 38th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education*. Tucson, AZ: University of Arizona.

Brakoniecki, A. (2015). *Preservice teachers’ learning mathematics from the Internet.* In T. G. Bartell, K. N. Bieda, R. T. Putnam, K. Bradfield, & H. Dominguez (Eds.), Proceedings of the 37th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1226–1229). East Lansing, MI: Michigan State University.

Dietiker, L., & Brakoniecki, A. (2014). Reading geometrically: The negotiation of the expected meaning of diagrams in geometry textbooks. In K. Jones, C. Bokhove, G. Howson, & L. Fan (Eds.), Proceedings of the International Conference on Mathematics Textbook Research and Development (ICMT-2014) (pp. 191–196). Southampton Education School, University of Southampton.

Brakoniecki, A. (2014). Preservice Teachers’ Uses of the Internet to Investigate the Proof of the Pythagorean Theorem and its Converse. In T. Fukawa-Connolly, G. Karakok, K. Keene, & M. Zandieh (Eds.), *Proceedings of the 17th Annual Conference on Research in Undergraduate Mathematics Education* (pp. 407–411). Denver, CO.

Brakoniecki, A., & Dietiker, L. (2010). When is seeing not believing: A look at diagrams in mathematics education. In P. Brosnan, D. B. Erchick, & L. Flevares (Eds.), *Proceedings of the Thirty Second Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education* (pp. 644–648). Columbus, OH: The Ohio State University.

Brakoniecki, A. (2009). Mathematical knowledge for teaching exhibited by preservice teachers responding to mathematical and pedagogical contexts. In S. L. Swars, D. W. Stinson, & S. Lemons-Smith (Eds.), *Proceedings of the Thirty-First Annual Meeting of the North America Chapter of the International Group for the Psychology of Mathematics Education *(pp. 1360–1369). Atlanta, GA: Georgia State University.

Brakoniecki, A. (2009). Taxicab geometry: Explorations in three dimensions. *Online Journal of School Mathematics*, 7(1). Retrieved from https://web.archive.org/web/20110726055314/http://nctm.org/eresources/tocgraphic.asp?journal_id=6

### Selected Presentations

Brakoniecki, A., Glassmeyer, D., & Amador, J. M. (2022). Proportional reasoning: Visualizing a knowledge resources framework. Poster Presented at the Forty-Fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Nashville, TN: Middle Tennessee State University.

Glassmeyer, D., Brakoniecki A., & Amador, J. (2021). Identifying and supporting teachers’ robust understanding of proportional reasoning. Presentation at the 2021 Annual Conference of the Association of Mathematics Teacher Educators, Online.

Brakoniecki, A., Amador, J., & Glassmeyer, D. (2021). The Orange Juice Task. - Lesson Plan. NCTM Illuminations.

Dietiker, L., Miller, E. R., Brakoniecki, A., & Riling, M. (2018). Inside the envelope: Describing the influence of curriculum materials on enacted lessons. Presentation at the 2018 Annual Meeting of the American Educational Research Association, New York, NY.

Brakoniecki, A., Glassmeyer, D., Amador, J. (2017). Preservice teachers’ constructions of dynamic geometry sketches for explaining and exploring trigonometry. Presentation at the 2017 Annual Conference of the Association of Mathematics Teacher Educators, Orlando FL.

Glassmeyer, D., Brakoniecki, A., & Amador, J. (2016). Angle and slope connections: Challenging teacher assumptions in trigonometry. Presented at the 2016 National Council of Teachers of Mathematics Research Conference, San Francisco, CA.

Brakoniecki, A. (2016). Preservice Mathematics Teachers’ Multiple Foci of Learning: Engaging Multiple Aspects of TPACK Through Isolation. Presentation at the 2016 Annual Conference of the Association of Mathematics Teacher Educators, Irvine CA.

Brakoniecki, A. (2016). The Development of Beginning Teachers' Understanding of Pythagorean Theorem from Two Internet-Based Activities. Presentation at the 2016 Joint Mathematics Meetings, Seattle, WA.

Brakoniecki, A. (2016). Concept Maps as a Way to Assess Form and Quality of Student Understanding of Algebra Concepts. Presentation at the 2016 Joint Mathematics Meetings, Seattle, WA.

Brakoniecki, A. (2015). Uses of the Internet to Support Pre-Service Teacher Learning of Mathematics. Presentation at the 2015 Annual Conference of the Association of Mathematics Teacher Educators, Orlando, FL.