Purpose: Narrative interventions are a class of language interventions that involve the use of telling or retelling stories. Narrative intervention can be an efficient and versatile means of promoting a large array of academically and socially important language targets that improve children's access to general education curriculum and enhance…

In many mathematics classrooms, the teacher provides "worked examples" to demonstrate how students should perform certain algorithms or processes. Some students find it difficult to generalize from the examples that teachers provide and cannot apply what they have learned in new situations (Watson and Mason 2002). Instead, teachers might…

The acquisition of receptive and expressive language skills by students with autism and developmental disabilities (DD) is often delayed, thus making the process of communicating with others challenging. Some students develop language skills incidentally through conversations with their families and peers, but others require instruction in…

In schools and classrooms across the country, educators are working to raise the achievement of all students to ever-higher levels. Yet, often missing in discussions about how to raise academic performance is the "way" in which individual students go about learning. One aspect of a student's approach to learning is his or her use of learning…

This article focuses on the ways in which four eighth-grade girls, each with varying levels of algebraic understanding, share ideas, debate, and gradually move toward generalizations inherent in the "Painted Cube" problem. The intent of this article is to examine how students move to progressive formalization and to provide insights into the ways…

Although this article is reprinted from a 1978 issue of "Arithmetic Teacher," its content is relevant to today's conversations about the roles of conceptual understanding and procedural fluency in the teaching of mathematics. This article attempts to advance and demonstrate the proposition that moves in teaching mathematics can serve as a basis…

Many students with disabilities continue to struggle with understanding what mathematics means. They memorize basic facts or step-by-step mathematical procedures without understanding the underlying concepts related to the problems. Thus, instruction designed to help students understand the meaning of the mathematics that they are learning in…

Defines a generalization as "a descriptive statement of broad application indicating a relationship between two or more concepts." Argues that successful teaching about generalizations can only occur when students understand the relationship between concepts and facts. Discusses four issues and four approaches related to teaching…