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Dr. Amanda Cullen

Associate Professor
Mathematics
Office
STV Stevenson Hall 326a
Office Hours
Tuesdays and Thursdays 11 a.m.-12 p.m. and by appointment
  • About
  • Education
  • Awards & Honors
  • Research

Biography

Amanda Cullen earned a bachelor of arts in elementary education from Millikin University, a master of science in mathematics from Illinois State University, and a doctorate of philosophy in mathematics education from Illinois State University.

Current Courses

314.001Concepts of Calculus for Middle School Teachers

599.001Dissertation

599.005Dissertation

599.006Dissertation

599.010Dissertation

401.001Current Research In School Mathematics

599.002Dissertation

599.006Dissertation

599.101Dissertation Final Term

599.201Dissertation Final Term

500.001Independent Study

500.002Independent Study

500.003Independent Study

302.001Teaching Mathematics in the Middle School

Teaching Interests & Areas

Geometric Measurement, Number Theory for Teachers, Teaching Mathematics in Grades 6-8, and History of Mathematics and Mathematics Education

Research Interests & Areas

Children's development of spatial structuring and area measurement concepts;
Children's drawing development (and connecting drawing development research to area measurement developmental progressions);
Inservice teachers' use of Hypothetical Learning Trajectories to inform their instruction; and
Preservice teachers' practicing the practice of teaching

Ph D Mathematics Education

Illinois State University
Normal, IL

MS Mathematics

Illinois State University
Normal, IL

BA Elementary Education

Millkin University
Decatur, IL

Outstanding University Teaching Award: Teaching Initiative Award (Pre-Tenure Faculty)

Department (and then College)
2016

Impact Award

2014

Outstanding University Teaching Award: Graduate Student Teaching Award, Department Nominee

Mathematics Department
2010

Book Review

Miller, A. L., & Barrett, J. E. (2016). Surveying current research on young children’s mathematical learning [Book review]. Journal for Research in Mathematics Education, 47(3), 312–316. doi:10.5951/jresematheduc.47.3.0312

Book, Chapter


Barrett, J. E., Wickstrom, M. H., Tobias, J. M., Cullen, C. J., Cullen, A. L., & Baek, J. M., (2019), Chapter 3: Children’s Measurement Project. In P. Sztajn, P. H. Wilson (Eds.), Learning Trajectories for Teachers: Designing Effective Professional Development for Math Instruction. (pp. 48-74). New York, NY: Teachers College Press.
Barrett, J. E., Clements, D. H., Sarama, J., Miller, A. L., Cullen, C. J., Van Dine, D. W., . . . Klanderman, D. (2017). Integration of results: A new learning trajectory for area. In J. E. Barrett, D. H. Clements, & J. Sarama (Eds.), Children’s measurement: A longitudinal study of children’s knowledge and learning of length, area, and volume. Journal for Research in Mathematics Education monograph series (Vol. 16, pp. 129–148). Reston, VA: National Council of Teachers of Mathematics.
Barrett, J. E., Cullen, C. J., Miller, A. L., Eames, C. L., Kara, M., & Klanderman, D. (2017). Area in the middle and later elementary grades. In J. E. Barrett, D. H. Clements, & J. Sarama (Eds.), Children’s measurement: A longitudinal study of children’s knowledge and learning of length, area, and volume. Journal for Research in Mathematics Education monograph series (Vol. 16, pp. 105–127). Reston, VA: National Council of Teachers of Mathematics.
Clements, D. H., Sarama, J., & Miller, A. L. (2017). Area. In J. E. Barrett, D. H. Clements, & J. Sarama (Eds.), Children’s measurement: A longitudinal study of children’s knowledge and learning of length, area, and volume. Journal for Research in Mathematics Education monograph series (Vol. 16, pp. 71–81). Reston, VA: National Council of Teachers of Mathematics.
Cullen, C. J., Barrett, J. E., Kara, M., Eames, C. L., Miller, A. L., & Klanderman, D. (2017). Integration of results: A new learning trajectory for volume. In J. E. Barrett, D. H. Clements, & J. Sarama (Eds.), Children’s measurement: A longitudinal study of children’s knowledge and learning of length, area, and volume. Journal for Research in Mathematics Education monograph series (Vol. 16, pp. 181–201). Reston, VA: National Council of Teachers of Mathematics.

Conference Proceeding

MacDonald, B. L., Cullen, A. L., Kroesch, A. M., Bajwa, N. P., Mooney, E., & Corven, J. (2023). Reimagining the emergent perspective within research-practice learning communities. In T. Lamberg & D. Moss (Eds.), Proceedings of the forty-fifth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Volume 1 (pp. 910–915). Reno, NV.
Talbot, J., Cullen, A. L., & Lizano, C. (2023). Fraction as a quantity: Describing students' reasoning. In T. Lamberg, D. Moss, R. Welder, G. Waddell, & L. Wiest (Eds.), Proceedings of the 45th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 333–341), Reno, NV.
Rush, Y., & Cullen, A. L. (2022). Investigation of mathematical mindset, identity, and self-efficacy of college students. In A. E. Lischka, E. B. Dyer, R. S. Jones, J. N. Lovett, J. Strayer, & S. Drown (Eds.), Proceedings of the 44th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1718–1719). http://www.pmena.org/pmenaproceedings/PMENA%2044%202022%20Proceedings.pdf
Eames, C. L., Miller, A. L., Kara, M., Cullen, C. J., & Barrett, J. E. (2013). The longitudinal development of unit concepts in area and volume measurement contexts: A case study. In M. Martinez & A. Castro Superfine (Eds.), Proceedings of the 35th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 171–178). Chicago, IL. Retrieved from http://pmena.org/2013/files/PMENA2013_Conference_Proceedings.pdf
Kara, M., Miller, A. L., Cullen, C. J., Barrett, J. E., Sarama, J., & Clements, D. H. (2012). A retrospective analysis of students’ thinking about volume measurement across grades 2-5. In L. R. Van Zoest, J. Lo, & J. L. Kratky (Eds.), Proceedings of the 34th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1016–1023). Kalamazoo, MI.

Journal Article

Odell, J., Langrall, C. W., & Cullen, A. L. (2022). Challenging students to experience mathematics as mathematicians. Mathematics Teacher: Learning and Teaching PK–12, 115(3), 191–201. https://doi.org/10.5951/MTLT.2021.0160
Sears, R., Bay-Williams, J. M., Willingham, J. C., & Cullen, A. L. (2022). Symbiosis: Social and emotional learning and mathematics learning. Mathematics Teacher: Learning and Teaching PK–12, 115(11), 770–780. https://doi.org/10.5951/MTLT.2022.0081
Cullen, A. L., Lawton, C. A., Patterson, C. S., & Cullen, C. J. (2020). All the way around a circle. Mathematics Teacher: Mathematics Learning and Teaching PreK–12, 113(8), 637–642.

Cullen, A., & Barrett, J. E. (2019). Area Measurement: Structuring with Nonsquare Units, in Mathematical Thinking and Learning, 21(3). https://doi.org/10.1080/10986065.2019.1608619





Cullen, A. L., Cullen, C. J., & O’Hanlon, W. A. (2018). Effects of an intervention on children’s conceptions of angle measurement. International Journal of Research in Education and Science, 4(1), 136–147. doi:10.21890/ijres.382941

Presentations

Children’s Choice and Use of Tools While Solving Problems. Research Council on Mathematical Learning 51st Annual Conference. Research Council on Mathematical Learning. (2024)
Cullen, C. J., Ssebaggala, L, & Cullen, A. L., (2024, January 11). Constructing Models of Relationships. NCTM. Online.


Talbot, J., Lawton, C. A., & Cullen, A. L. (2022, March). Daily data: Collecting, analyzing, and interpreting data, grades 5-8. To be presented at the National Council of Teachers of Mathematics Regional Conference & Exposition, Indianapolis, IN.
Talbot, J., Cullen, A. L., & Lawton, C. A. (2019, October). Math warm-up routines in grades 5-8. Presentation at the Illinois Council for Teachers of Mathematics 2019 Annual Conference, Peoria, IL.