Columbia University

The project team developed improved tools for fitting statistical models in complex settings, specifically hierarchical Bayesian models for handling multilevel data including nested and non-nested groupings, latent variables, and large numbers of parameters.

The purpose of this project is to identify optimal instructional approaches for improving elementary and middle school students' understanding of fraction magnitudes and middle school students' and pre-service teachers' understanding of fraction arithmetic. Fraction understanding is critical for success in algebra, trigonometry, chemistry, physics, and other mathematics and science subject areas, yet many students struggle to acquire adequate proficiency with fractions. In this project, the ...

The purpose of this project is to develop and pilot test an intervention for using students' errors to enhance their learning in mathematics, both by focusing instruction on the problem areas that are most in need of attention, and by examining and correcting the missteps that underlie students' errors. Recent research has shown that committing errors, as long as those errors are corrected, enhances learning as compared to error-free learning. The research team will address how to use errors...

Some statistical models used in education research are complex. This complexity arises in part because the data structures that underlie these statistical models involve multiple nested (i.e., cross-classified multilevel models) and non-nested groupings (i.e., partially-nested designs).

In this project, the researchers developed and tested new approaches to support applied researchers' use of Bayesian modal estimation (also called maximum a posteriori estimation) for multilevel models. The goal of this methodological innovation was to make it easier for applied researchers to avoid nonsensical results when they use multilevel models.

Preschool children need language and literacy, mathematics, and self-regulation skills in order to be ready for school. While many curricula focus on one or two of these skills, none takes a fully integrated approach to supporting parents and early childhood teachers in fostering these skills in young children. The purpose of this project is to further develop and expand an existing school readiness curriculum, Getting Ready for School (GRS). The current version of the curriculum targets par...