The Dirac delta function is a standard mathematical tool that appears repeatedly in the undergraduate physics curriculum in multiple topical areas including electrostatics, and quantum mechanics. While Dirac delta functions are often introduced in order to simplify a problem mathematically, students still struggle to manipulate and interpret them.…

In this paper we investigated the contribution of a dynamic testing procedure, including multiple graduated prompts protocols, in identifying differences in need for instruction of second grade children (N = 120) with arithmetic difficulties. The training was adaptive and prompts were provided according to one of six protocols, each focusing on a…

This study examined the social and cognitive interaction patterns of third, fourth, and fifth graders as they collaboratively read on the Internet and responded to an inquiry prompt. Data analysis revealed patterns of cognitive strategy use that intersected with social forms and functions of dialogue. Dyads that exhibited higher levels of…

Students learned about electrical circuits in an arcade-type game consisting of 10 levels. For example, in one level students saw two circuits consisting of various batteries and resistors connected in series or parallel, and had to indicate which one had a higher rate of moving current. On levels 1-9, all students received a correct tone and had…

The findings and recommendations of researchers and specialists in thinking-skill learning and teaching have important implications for classroom efforts to improve student thinking. This summary identifies various types of thinking skills and skill components recommended for classroom instruction. The author describes and cites research-derived…

Research is only beginning to show the benefits of the effective use of manipulatives with students who have disabilities. This article highlights how teachers can incorporate three manipulative instructional strategies to help students with high-incidence disabilities.

How do some students extract complex information from advanced reading materials while others struggle to find the meaning of even simple passages? What characteristics do strategic readers exhibit that others don't possess? Unlocking the cognitive strategies of exceptional readers means finding ways to teach every student to read strategically,…