Skip to content →

Publications

Cullen, A. L., Eames, C. L., Cullen, C. J., Barrett, J. E., Sarama, J., Clements, D. H., & Van Dine, D. W. (in press). Effects of three interventions on children’s spatial structuring and coordination of area units. Journal for Research in Mathematics Education, 49(5), XX–YY.

Clements, D. H., Sarama, J., Van Dine, D. W., Barrett, J. E., Cullen, C. J., Hudyma, A., . . . [Cullen, A. L.], Eames, C. L. (2018). Evaluation of three interventions teaching area measurement as spatial structuring to young children. Journal of Mathematical Behavior, 50, 23–41doi:10.1016/j.jmathb.2017.12.004

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), 136–147doi:10.21890/ijres.382941

Baek, J. M., Wickstrom, M. H., Tobias, J. M., Miller, A. L., Safak, E., Wessman-Enzinger, N. M., & Kirwan, J. V. (2017). Preservice teachers’ pictorial strategies for a multistep multiplicative fraction problem. Journal of Mathematical Behavior, 45(1), 1–14. doi:10.1016/j.jmathb.2016.10.005

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. 16pp. 105–127). Reston, VA: National Council of Teachers of Mathematics.

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, A. L., Cullen, C. J., & O’Hanlon, W. A. (2017). Elementary students’ reasoning about angle constructions. In E. Galindo & J. Newton (Eds.), Proceedings of the 39th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 347–354). Indianapolis, IN: Hoosier Association of Mathematics Teacher Educators.

Cullen, A. L., Tobias, J. M., Safak, E., Kirwan, J. V., Wessman-Enzinger, N. M., Wickstrom, M. H., & Baek, J. M. (2017). Preservice teachers’ algebraic reasoning and symbol use on a multistep fraction word problem. International Journal for Mathematics Teaching and Learning, 18(1), 109–131.

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.

Nickels, M. (with Cullen, C. J., Cullen, A. L., & Joe, R.). (2017). Separate and unequal: Students with HIV/AIDS and mathematics education. Journal of Urban Mathematics Education, 10(2), 39–51.

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

Kara, M., Eames, C. L., Miller, A. L., & Chieu, A. (2015). Staircases, skeleton towers, and castles. Mathematics Teacher, 108(9), 663–670doi:10.5951/mathteacher.108.9.0663

Martin, T. S., & Miller, A. L. (2014). Editorial: I received a “revise and resubmit” decision: Now what? Journal for Research in Mathematics Education, 45(3), 286–287. doi:10.5951/jresematheduc.45.3.0286

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

Miller, A. L. (2013). Investigating conceptual, procedural, and intuitive aspects of area measurement with non-square area units (Doctoral dissertation). Available from ProQuest Dissertations and Theses database. (Order No. 3572989)

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.

Barrett, J. E., Cullen, C. J., Sarama, J., Clements, D. H., Klanderman, D., Miller, A. L., & Witkowski Rumsey, C. (2011). Children’s unit concepts in measurement: A teaching experiment spanning grades 2 through 5. ZDM: The International Journal on Mathematics Education, 43(5), 637–650. doi:10.1007/s11858-011-0368-8

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.

Kara, M., Eames, C. L., Miller, A. L., Cullen, C. J., & Barrett, J. E. (2011). Developing an understanding of area measurement concepts with triangular units. In L. R. Wiest & T. Lamberg (Eds.), Proceedings of the 33rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1015–1023). Reno, NV.

Skip to toolbar