This article re-considers some interrelations among Pythagorean triads and various Fibonacci identities and their generalizations, with some accompanying questions to provoke further development by interested readers or their students. (Contains 3 tables.)

The "best available evidence" is one of the three basic inputs into evidence-based practice. This paper sets out a framework for evaluating the quality of systematic reviews that are intended to identify empirically supported interventions as a way of summarizing the best available evidence. The premise of this paper is that the process of…

We evaluated the effects of different intertrial intervals (ITIs; time between programmed learning opportunities) on the acquisition and generalization of 2 preschoolers' social skills. Independent and generalized skills were observed only when the daily ITI was gradually increased from short to progressively longer intervals. (Contains 1 figure…

Research on the high-probability (high-p) request sequence shows that compliance with low-probability (low-p) requests generally increases when preceded by a series of high-p requests. Few studies have conducted formal preference assessments to identify the consequences used for compliance, which may partly explain treatment failures, and still…

Mathematics education practitioners and researchers have long debated best pedagogical practices for introducing new concepts. Our design-based research project evaluated a heuristic framework, whereby students first develop acontextual sensorimotor schemes and only then extend these schemes to incorporate both concrete narratives (grounding) and…

The main result of an experiment is typically an estimate of the average treatment effect (ATE) and its standard error. In most experiments, the number of covariates that may be moderators is large. One way this issue is typically skirted is by interpreting the ATE as the average effect for "some" population. Cornfield and Tukey (1956)…

Generics are statements such as "tigers are striped" and "ducks lay eggs". They express general, though not universal or exceptionless, claims about kinds (Carlson & Pelletier, 1995). For example, the generic "ducks lay eggs" seems true even though many ducks (e.g. the males) do not lay eggs. The universally quantified version of the statement…

Explicitly teaching skills associated with self-determination has been promoted to support students' independence and control over their own lives. This is especially important for students with behavior problems. One self-determination skill or behavior that has been studied widely is self-monitoring. Although multiple reviews of various…

Individuals and teams engaging in the scholarship of teaching and learning (SoTL) in multidisciplinary higher education settings must make decisions regarding choice of research methodology and methods. These decisions are guided by the research context and the goals of the inquiry. With reference to our own recent experiences investigating…

We evaluated a self-instructional training manual for conducting multiple-stimulus without replacement stimulus preference assessment. The manual was compared to a method description, adapted from the method sections of previous published research articles, in an unbalanced crossover design with 18 undergraduate university students, randomly…

Problem Statement: Principals are known as important actors in effective schools. So it is important to know which variables influence principals' success. One of these predictors can be self-efficacy. However, there is very few research about principals' sense of efficacy. Purpose of the Study: The purpose of this research was to test the…

Purpose: The purpose of this paper is to look across six first-year principals to investigate their engagement with and sensemaking of specific messages of instructional leadership around teacher evaluation. Design/methodology/approach: This research project, a cross-case study, was carried out using in-depth qualitative observations and…

The purpose of the study was to investigate the effectiveness of teaching a three-step cognitive strategy (TIP) using the schema broadening procedures on functional mathematical problem solving skills of young adults with intellectual disability (ID). We randomly assigned 14 learners with ID to the control and experimental group before the…

The purpose of this study was to demonstrate the effectiveness of embedded teaching through the most-to-least prompting procedure in concept teaching to children with autism in Orff-based music activities. In this research, being one of the single subject research designs, multiple probe design was used. The generalization effect of the research…

The purpose of this study was to determine the effectiveness of computer-based instruction on teaching students with intellectual disability the skills of telling which emergency services to call in specific emergency situations and reciting the correct telephone number of that specific emergency service. In this study, a multiple probe design…