Rupnow, T., O’Dell, J. R., Barrett, J. E., Cullen, C. J., Clements, D. H., Sarama, J., Rutherford, G. (Accepted for publication, July 28, 2022). Children’s Construction of a Volume Calculation Algorithm for a Rectangular Prism with a Dynamic Virtual Manipulative, Journal of Mathematical Behavior.
https://doi.org/10.1016/j.jmathb.2022.100998
https://doi.org/10.1016/j.jmathb.2022.100998
| draft_of_volume_report_from_2020_to_jmb.pdf |
Sarama, J. Clements, D. H., Barrett, J. E., Cullen, C., Hudyma, A., and Vanega, Y. (2021). Length Measurement in the Early Years: Teaching and Learning with Learning Trajectories, Mathematical Thinking and Learning.
DOI: 10.1080/10986065.2020.1858245
DOI: 10.1080/10986065.2020.1858245
Eames, C., Barrett, J. E., Cullen, C., Ruthersford, G., Klanderman, D., Clements, D. H., Sarama, J., & Van Dine, D. (2020). Examining and Developing Fourth Grade Children’s Area Estimation Performance, School Science and Mathematics, 120 (2), 67-78. https://doi.org/10.1111/ssm.12386
as submitted, draft version
Effects of Three Interventions on Children’s Spatial Structuring and Coordination of Area Units, as reported in the Journal for Research in Mathematics Education (November, 2018),
Amanda L. Cullen, Cheryl L. Eames, Craig J. Cullen, Jeffrey E. Barrett, Julie Sarama, Douglas H. Clements, and Douglas W. Van Dine,
Amanda L. Cullen, Cheryl L. Eames, Craig J. Cullen, Jeffrey E. Barrett, Julie Sarama, Douglas H. Clements, and Douglas W. Van Dine,
Evaluation of three interventions teaching area measurement as spatial structuring to young children, as reported in The Journal for Mathematical Behavior (2018),
☆Douglas H. Clements, Julie Sarama, Douglas W. Van Dine, Jeffrey E. Barrett, Craig J. Cullen, Aaron Hudyma, Ron Dolgin, Amanda L. Cullen, Cheryl L. Eames
☆Douglas H. Clements, Julie Sarama, Douglas W. Van Dine, Jeffrey E. Barrett, Craig J. Cullen, Aaron Hudyma, Ron Dolgin, Amanda L. Cullen, Cheryl L. Eames
The findings from the project during the first phase, from 2007 through 2012 are reported in monograph number 16, published by the Journal for Research in Mathematics Education:
http://www.nctm.org/Publications/Books/
|
We have recently published a book of Measurement Activities and Tasks for Teaching K-5 Topics related to our work with learning trajectories on length, area and volume, as well as some work on time and angle. Our book is published by NCTM: See the link:
|
Another current publication features two accounts of our teams using learning trajectories to support teachers in their professional learning. Two chapters appear in a book published by Teachers College Press, edited by Paola Sztajn and P. Holt Wilson (2019).
Other publications that pertain to our project include:
www.learningtrajectories.org
Learning Trajectories Hexagon Map of the Common Core Mathematics Standards
Other publications from our research team:
Beck, Pamela Sue, "Exploring Middle School Students’ Strategies When Solving Surface Area Tasks" (2021). Theses and Dissertations. 1516.
https://ir.library.illinoisstate.edu/etd/1516
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
Barrett, J. E., Cullen, C. J., Klanderman, D., & Behnke, D. (2017). A Pleasure to Measure. (National Council of Teachers of Mathematics): Reston, VA.
Barrett, J. E., Clements, D. H., & Sarama, J. (2017). Children's measurement: A longitudinal study of children’s knowledge and learning of length, area, and volume. Journal for Research in Mathematics Education Monograph. Vol. 16. Reston, VA.
Smith, J. P., & Barrett, J. E. (2017). The learning and teaching of measurement: Coordinating quantity and number. In J. Cai (Ed.), Compendium for Research in Mathematics Education. (pp. 355-385): Reston, VA: National Council of Teachers of Mathematics.
Beck, P. S., Eames, C. L., Cullen C. J., Barrett, J. E., Clements, D. H., & Sarama, J. (2014). Linking children’s knowledge of length measurement to their use of double number lines. In Liljedahl, P., Nicol, C., Oesterle, S., & Allan, D. (Eds.). Proceedings of the 38th Annual Conference of the International Group for the Psychology of Mathematics Education. (Vol. 2) (pp. 105-112). Vancouver, Canada: PME
Szilágyi, J., Clements, D. H., & Sarama, J. (2013). Young children’s understandings of length measurement: Evaluating a learning trajectory.
ZDM-The International Journal on Mathematics Education, 44, 581-620.
www.jstor.org/stable/10.5951/jresematheduc.44.3.0581
Barrett, J., Clements, D., Sarama, J., Cullen, C., McCool, J., Witkowski, C., & Klanderman, D. (2012). Evaluating and Improving a Learning Trajectory for Linear Measurement in Elementary Grades 2 and 3: A Longitudinal Study. Mathematical Thinking and Learning, 14 (1), 28-54.
Barrett, J., Cullen, C., Sarama, J., Clements, D., Klanderman, D., Miller, A., & 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.
Sarama, J. Clements, D. H., Barrett, J., VanDine, D. W., and McDonel, J. S. (2011). Evaluation of a Hypothetical Learning Trajectory for Length in the Early Years. ZDM: The International Journal on Mathematics Education, 43 (5), 667-680.
Daro, P., Mosher, F. A., & Corcoran, T. (2011) with: J. Barrett, M. Battista, D. Clements, J. Confrey, V. Daro, A. Maloney, W. Nagakura, M. Petit, and J. Sarama. Learning Trajectories in Mathematics: A foundation for standards, curriculum, assessment, and instruction. New York: Teachers College-Columbia University.
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 Behiye Ubuz (Ed.), Proceedings of the 35th Annual Conference of the International Group for the Psychology of Mathematics Education. Ankara, Turkey: International Group for the Psychology of Mathematics Education.
Cullen, C. J., & Barrett, J. E., (2010) Strategy use indicative of an understanding of units of length. In M. Pinto & T. Kawasaki (Eds.), Proceedings of the 34th Annual Conference of the International Group for the Psychology of Mathematics Education. Vol. 2, pp. 281-288. Belo Horizonte, Brazil: International Group for the Psychology of Mathematics Education.