Place Value Learning
This project focuses on the development of place-value understanding from kindergarten through second grade. In one study, we tracked developmental changes in children's place value concepts using a broad range of place value measures. In another study, we applied principles of relational learning (i.e., structure mapping and statistical learning) to design and test new approaches to teaching place-value structure to kindergarten students.
PUBLICATIONS
Mix, K. S., Smith, L. B. & Crespo, S. (2019) Leveraging relational learning mechanisms to improve place value instruction. In M. W. Alibali & E. A. Norton (Eds.) Constructing Number: Merging Perspectives from Psychology and Mathematics Education (pp.87-121). Cham, Switzerland: Springer.
Yuan, L., Prather, R., Mix, K. S., & Smith, L.B. (2019) Preschoolers and multi-digit numbers: A path to mathematics through symbols themselves. Cognition, 189(1), 89-104. doi: 10.1016/j.cognition.2019.03.013
Yuan, L., Prather, R., Mix, K. S., & Smith, L. B. (2021) The first step to learning place value: A role for physical models? Frontiers in Education (Special Issue), 14, doi.org/10.3389/feduc.2021.683424
Bower, C., Smith, L. B., Yuan, L. & Mix, K. S. (2022). A network analysis of children’s emerging place value concepts. Psychological Science, 1-16.
Mix, K. S., Bower, C., Hancock, G.R., Yuan, L., & Smith, L. B. (2022). The development of place value concepts: Principles after approximation. Child Development, 13724.
Mix, K. S., Bower, C. A., Yuan, L., Hancock, G. R., & Smith, L. B. (2023). Predictive relations between early place value understanding and multidigit calculation: approximate versus syntactic measures. Educational Psychology, 43(7), 795–813.
Mix, K. S., Bower, C. A., Hancock, G. R., Crespo, S., & Smith, L. B. (2024). Place value learning in kindergarten. Journal of Educational Psychology, 116(7), 1129–1152.
PUBLICATIONS
Mix, K. S., Smith, L. B. & Crespo, S. (2019) Leveraging relational learning mechanisms to improve place value instruction. In M. W. Alibali & E. A. Norton (Eds.) Constructing Number: Merging Perspectives from Psychology and Mathematics Education (pp.87-121). Cham, Switzerland: Springer.
Yuan, L., Prather, R., Mix, K. S., & Smith, L.B. (2019) Preschoolers and multi-digit numbers: A path to mathematics through symbols themselves. Cognition, 189(1), 89-104. doi: 10.1016/j.cognition.2019.03.013
Yuan, L., Prather, R., Mix, K. S., & Smith, L. B. (2021) The first step to learning place value: A role for physical models? Frontiers in Education (Special Issue), 14, doi.org/10.3389/feduc.2021.683424
Bower, C., Smith, L. B., Yuan, L. & Mix, K. S. (2022). A network analysis of children’s emerging place value concepts. Psychological Science, 1-16.
Mix, K. S., Bower, C., Hancock, G.R., Yuan, L., & Smith, L. B. (2022). The development of place value concepts: Principles after approximation. Child Development, 13724.
Mix, K. S., Bower, C. A., Yuan, L., Hancock, G. R., & Smith, L. B. (2023). Predictive relations between early place value understanding and multidigit calculation: approximate versus syntactic measures. Educational Psychology, 43(7), 795–813.
Mix, K. S., Bower, C. A., Hancock, G. R., Crespo, S., & Smith, L. B. (2024). Place value learning in kindergarten. Journal of Educational Psychology, 116(7), 1129–1152.
