Generalization is critical to mathematical thought and to learning mathematics. However, students at all levels struggle to generalize. In this paper, I present a theoretical analysis connecting Piaget's assimilation and accommodation constructs to Harel and Tall's (1991) framework for generalization in advanced mathematics. I offer a theoretical…

Purpose: This study examined how lexical representations and intervention intensity affect phonological acquisition and generalization in children with speech sound disorders. Method: Using a single-subject multiple baseline design, 24 children with speech sound disorders (3;6 to 6;10 [years;months]) were split into 3 word lexicality types…

There is limited research using small-scale simulation in applied behavior analysis. We used small-scale simulation to train firearm safety skills to 3- to 5-year-old children and assessed whether the skills generalized to the natural environment through in situ assessment. Three participants completed the training, and all participants learned…

School practitioners increasingly use functional behavior assessments to design behavior intervention plans when students engage in challenging behavior that is not improved by classroom management or standard interventions. Behavior intervention plans should aim to produce behavior change that maintains across time and generalizes to relevant…

Learning naturalistic categories, which tend to have fuzzy boundaries and vary on many dimensions, can often be harder than learning well defined categories. One method for facilitating the category learning of naturalistic stimuli may be to provide explicit feature descriptions that highlight the characteristic features of each category. Although…

Students are often encouraged to learn 'deeply' by abstracting generalizable principles from course content rather than memorizing details. So widespread is this perspective that Likert-style inventories are now routinely administered to students to quantify how much a given course or curriculum evokes deep learning. The predictive validity of…

Incorporating student choice is an effective intervention to improve task engagement that may also promote skill and behavioral generalization. In this study, we evaluated the effectiveness of a reading fluency intervention that incorporated student choice of topic and instructional passages using a delayed multiple baseline across student design.…

The study investigates upper secondary school students' use of counterfactual reasoning when engaging in a task concerning historical explanation. The study analyses student answers to a prompt asking them to evaluate the causal importance of a historical actor for a historical event, aiming to characterize the counterfactuals used, as well as…

Learning to categorize perceptually similar stimuli can result in people becoming more sensitive to differences along perceptual dimensions that are relevant to category membership and/or less sensitive to equivalent differences along irrelevant perceptual dimensions. These effects of acquired distinctiveness and acquired equivalence may be caused…

An important goal in school algebra is to help students notice the covariational nature of functional relationships, how the values of variables change in relation to each other. This study explored 102 Year 7 (12 to 13-year-old) students' covariational reasoning with their constructed graphs for figural growing patterns they had generalised. A…

The purpose of the current study was to evaluate the effects of equivalence-based instruction (EBI) on learning to play individual notes and simple songs on the piano. Participants were 4 typically developing children and 4 children with a diagnosis of autism spectrum disorder (ASD). They were exposed to a series of auditory-visual…

The purpose of these notes is to generalize and extend a challenging geometry problem from a mathematics competition. The notes also contain solution sketches pertaining to the problems discussed.

Research suggests peer imitation can be taught using systematic procedures and can be embedded into ongoing play contexts with preschool-age children. However, additional research is needed to test procedures that may increase levels of peer imitation with toddlers with disabilities and in generalized contexts. We used a multiple probe across…

Dutch and German employ voicing contrasts, but Dutch lacks the 'voiced' dorsal plosive /g/. We exploited this accidental phonological gap, measuring the presence of prevoicing and voice onset time durations during speech production to determine (1) whether preliterate bilingual Dutch-German and monolingual Dutch-speaking children aged 3;6-6;0…

This paper presents information from a comprehensive review of 28 experimental studies that investigated the effectiveness and efficiency of the simultaneous prompting procedure with individuals with autism. Twenty of the 25 variables examined across the 28 studies are reported on in this paper. The results reported across the studies indicated…