Cognitively demanding tasks provide important opportunities for students to develop an understanding of mathematics; however, they are challenging to launch and implement. The authors designed a secondary methods unit on launching tasks. Participants in the study were enrolled in five different methods courses. Using a noticing framework, findings…

A national survey reports that 42% of mainstream teachers have English language learners (ELLs) in their classrooms, but only 12.5% say they have been prepared to work with them (National Center for Education Statistics 2002). This article supplies a framework to address the cognitive demands of ELLs with varying proficiency levels, guided by the…

In assessment, the ability to construct test items that measure a targeted skill is fundamental to validity and alignment. The ability to do the reverse is also important: determining what skill an existing test item measures. This paper presents a model for classifying test items that builds on procedures developed by others, including Bloom…

In today's higher education, high quality assessments play an important role. Little is known, however, about the degree to which assessments are correctly aimed at the students' levels of competence in relation to the defined learning goals. This article reviews previous research into teachers' and students' perceptions of item difficulty. It…

To examine how classroom conditions such as students' mean aptitude, materials used, and instructional time influence the amount of reading material covered, 12 first grade classrooms were each observed for 12 days over a 36-week period. Students' reading readiness and word recognition skills were tested prior to observation while group mean…