The purpose of this paper is to highlight issues related to students' personal inferences that arise when students verbally explain their justification for calculus statements. We conducted clinical interviews with three undergraduate students who had taken first-semester calculus but had not yet been exposed to formal proof writing activities…

A multiple baseline design across participants was used to examine the effects of a portable video modeling intervention delivered in the natural environment on the verbal compliments and compliment gestures demonstrated by five children with autism. Participants were observed playing kickball with peers and adults. In baseline, participants…

This single-subject research study was designed to examine the effects of point-of-view video modeling (POVM) on the symbolic play actions and play-associated language of four preschool students with autism. A multiple baseline design across participants was conducted in order to evaluate the effectiveness of using POVM as an intervention for…

Students with autism spectrum disorders (ASD) have difficulties with verbal language. Many interventions to remediate such deficits require numerous materials and significant teacher time. This study sought to determine if a simple multi-component intervention that incorporated noncontingent reinforcement (NCR) and verbal modeling would result in…

The bulk of the existing literature emphasizes the use of phonemic/phonetic based instruction to enhance generalization between reading and written language. However, phonetically irregular words are common in English and may require the use of whole word approaches. This study examined generalization between from reading to spelling and from…

Multilevel visual models can make teaching and learning theories more easily understood. The idea of graphic visualizationas developed in this model utilizes three stages of abstract concept formation dealing with concrete visualization, abstract visualization, and abstract generalization, which would provide the learner with an intuitive grasp of…

The effects of live and symbolic modeling on the conservation of equalities and inequalities were studied with items spanning three stimulus dimensions (length, number, and two dimensional space). A total of 48 kindergarten children, who had failed to conserve on any equality items in baseline measures, were randomly assigned, in equal groups, to…

Discrete trial training (DTT) is a well-established intervention for teaching skills to children with autism; however, few published guidelines are available for determining whether a child's rate of learning a particular skill is satisfactory and, if not, what to do. We assert that progress within 8-10 teaching sessions usually is evidence of…