## 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:

www.nctm.org/Store/Products/JRME-Monograph-Children-s-Measurement/

Other publications that pertain to our project include:

Also:

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.).

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

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.

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.

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.

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.),

Cullen, C. J., & Barrett, J. E., (2010) Strategy use indicative of an understanding of units of length. In M. Pinto & T. Kawasaki (Eds.),

**Learning Trajectories Hexagon Map of the Common Core Mathematics Standards**Also:

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: PMEBarrett, 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 34**th**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.