We examined the type of errors on multiplication and division computation problems of 326 rising fifth graders enrolled in four elementary schools in Northern Portugal. We further examined whether there was a difference in the number of errors across age and whether there was an association between students' performance on number knowledge and…

This study is concerned with how teachers use data about students' ideas in science, elicited from embedded formative assessment probes, to make decisions about next steps in instruction. Since Black and Wiliam's (1998) seminal work on formative assessment, researchers and practitioners alike concerned themselves with formative assessment and its…

Comparing multiple solutions to a single problem is an important mode for developing flexible mathematical thinking, yet instructionally leading this activity is challenging (Stein, Engle, Smith, & Hughes, 2008). We test 1 decision teachers must make after having students solve a problem: whether to only verbally discuss students' solutions or…