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
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.
Miller, A. L., Kara, M., Eames, C. L., Cullen, C. J., & Barrett, J. E. (2012). A comparison of three students’ responses to area invariance tasks 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. 1042). Kalamazoo, MI.
Cullen, C. J., Miller, A. L., Barrett, J. E., Clements, D. H., & Sarama, J. (2011). Unit eliciting task structures: Verbal prompts for comparative measures. In B. Ubez (Ed.), Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education (Vol. II, pp. 249–256). Ankara, Turkey.
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
Clements, D. H., Sarama, J., Van Dine, D. W., Barrett, J. E., Cullen, C. J., Hudyma, A., . . . Eames, C. L. (2018). Evaluation of three interventions teaching area measurement as spatial structuring to young children. Journal of Mathematical Behavior, 50, 23–41. doi:10.1016/j.jmathb.2017.12.004
Other
Cullen, A. L. (2022). Recalibrating beliefs and teaching practices (Editorial). Mathematics Teacher: Learning and Teaching PK–12, 115(8), 534–535. https://doi.org/10.5951/MTLT.2022.0123
Cullen, A. L., & Anderson, R. (2021). Finding, growing, or restoring your pod (Editorial). Mathematics Teacher: Mathematics Learning and Teaching PreK–12, 114(7), 494–495.