To better understand the role that ways of reasoning play in students' success on integer addition and subtraction problems, we examined the relationship between students' flexible use of ways of reasoning and their performance on integers open number sentences. Within groups of students in 3 participant groups--39 2nd and 4th graders who had…

Background: Cluster-randomized experiments that assign intact groups such as schools or school districts to treatment conditions are increasingly common in educational research. Such experiments are inherently multilevel designs whose sensitivity (statistical power and precision of estimates) depends on the variance decomposition across levels.…

The No Child Left Behind Act is a mandate from the federal government for education to increase student performance and school accountability. As a result of this mandate, many states have issued the use of high-stakes standardized tests as a means of monitoring schools' accountability. New York State administers the English Language Arts (ELA)…