Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…

In this study, we explored enacted task characteristics (ETCs) that supported students' quantitative reasoning (QR). We employed a design-based methodology; we conducted a teaching experiment with eight secondary school students. Through ongoing and retrospective analyses, we identified ETCs which supported students' quantitative reasoning. The…

Conjectures are a key component of mathematical inquiry, a process in which the students raise conjectures, refute or dismiss some of them, and formulate additional ones. Taking a design-based research approach, we formulated a design principle for personal feedback in supporting the iterative process of conjecturing. We empirically explored the…

Many researchers and practitioners cite concerns with maintenance and generalization as a serious issue for individuals with autism spectrum disorders (ASD), although few studies explicitly target performance of behaviors outside training environments. After an initial intervention failed to produce robust generalization outcomes, the present…

Generalization is a critical component of mathematics learning, but it can be challenging to foster generalization in classroom settings. Teachers need access to better tools and resources to teach for generalization, including an understanding of what tasks and pedagogical moves are most effective. This study identifies the types of instruction,…

The study reported in this article addresses the question of how professional development can increase teacher noticing of student thinking over time. The data come from five teachers' participation in a two-year professional development intervention that combined lesson study, video clubs, and animation discussions. The analysis focuses on…

This article examines the development of professional knowledge in pre-service mathematics teachers. From the discussion of a task associated with the multiplication of consecutive integer numbers, generalization is recognized as a process that allows to explore, to explain, and to validate mathematical results, and as an essential ability to…

This study shares two frameworks for analyzing teacher actions that support students in generalizing and examines how those frameworks align with teacher questioning. One classroom teaching episode focused on the mathematical activity of generalizing is shared to illustrate effective generalizing promoting practices. We found several patterns of…

Research suggests that high school aged individuals with developmental disabilities are at a higher likelihood of lacking the prosocial behaviors necessary for successful transition into post high school life and a work environment. Decreased vocational success often leads to increased likelihood of mental health issues for individuals with…

Studies examining video modeling and visual activity schedules independent of one another have been shown to be effective in teaching skills for students with autism, but there is little research about the effectiveness of combining the two methods. Use of visual activity schedules with embedded video models via an iPad application was…

Self-instruction for individuals with an intellectual disability can be viewed as a pivotal skill in that once learned this skill has collateral effects on future behaviors in various environments. This study used a multiple probe across participants design to evaluate video modeling to teach high school students with an intellectual disability to…

The effectiveness of a multicomponent intervention to improve the problem-solving performance of students with autism spectrum disorders (ASD) during vocational tasks was examined. A multiple-probe across-students design was used to illustrate the effectiveness of point-of-view video modeling paired with practice sessions and a self-operated cue…

Literacy and language development is a central aspect of educational theory and practice. One area of literacy and language research that has had a lot of attention is dialogic teaching (Bakhtin, 1984; Freire, 1970; Murphey, Wilkinson, Soter, Hennessey, & Alexander, 2009; Reznitskaya & Gregory, 2013). However, there is limited research on…

Social deficits are a core characteristic of individuals with autism spectrum disorders and co-occurring intellectual disabilities (ASD-ID). Despite persistence of these deficits into adolescence, few social skills interventions have been empirically evaluated for older individuals with ASD-ID. The present investigation adapted an efficacious…

The purpose of this study was to evaluate the effects of a system of least prompts procedure with a video prompt serving as the model in teaching office tasks to three high school students with moderate intellectual disability. A multiple probe across behaviors design replicated across participants was used to evaluate the intervention. The…