These appendices accompany the report "Final Report of the i3 Impact Study of Making Sense of SCIENCE, 2016-17 through 2017-18." Science education has experienced a significant transition over the last decade, catalyzed by a re-envisioning of what students should know and be able to do in science. That re-envisioning culminated in the…

This dissertation comprises three papers that propose, discuss, and illustrate models to make improved inferences about research questions regarding student achievement in education. Addressing the types of questions common in educational research today requires three different "extensions" to traditional educational assessment: (1)…

A multilevel latent transition analysis (LTA) with a mixture IRT measurement model (MixIRTM) is described for investigating the effectiveness of an intervention. The addition of a MixIRTM to the multilevel LTA permits consideration of both potential heterogeneity in students' response to instructional intervention as well as a methodology for…

In this chapter, the authors develop a theory to explain the effects of mentoring and induction activities on new teachers' commitment, instructional quality, and effectiveness, and they describe how utility functions can express variation in these outcomes. Then they explicate the role of three-level models (i.e., with random effects) in…