A generalization of a well-known result for the arctangent function poses a number of interesting questions concerning the existence of integer solutions of related problems.

The most commonly used measures of locus of control are Rotter's Internality-Externality Scale (I-E) and Nowicki and Strickland's Internality-Externality Scale (NSIE). A reliability generalization study is conducted to explore variability in I-E and NSIE score reliability. Studies are coded for aspects of the scales used (number of response…

This paper reports on partial knowledge in two-year-old children's learning of the regular English plural. In Experiments 1 and 2, children were presented with one kind and its label and then were either presented with two of that same kind (A[right arrow]AA) or the initial picture next to a very different thing (A[right arrow]AB). The children in…

There is a long-standing debate about the principles constraining the combinatorial properties of suffixes. Hay 2002 and Hay & Plag 2004 proposed a model in which suffixes can be ordered along a hierarchy of processing complexity. We show that this model generalizes to a larger set of suffixes, and we provide independent evidence supporting the…

Problem solving allows students to use what they know to achieve a goal when no solution is apparent. Traditional educational models evolved from an earlier system, based on rote memorization and designed to produce employees for industry. The workforce of tomorrow must move beyond rote learning by both applying current knowledge and using…

The relationship between pose and illumination learning in face recognition was examined in a yes-no recognition paradigm. The authors assessed whether pose training can transfer to a new illumination or vice versa. Results show that an extensive level of pose training through a face-name association task was able to generalize to a new…

We used a teaching experiment to evaluate the preparation of preservice teachers to teach early algebra concepts in the elementary school with the goal of improving their ability to generalize and justify algebraic rules when using pattern-finding tasks. Nearly all of the elementary preservice teachers generalized explicit rules using symbolic…

The present study investigated the extent to which fear generalization in humans is determined by the amount of fear intensity in nonconditioned stimuli relative to a perceptually similar conditioned stimulus. Stimuli consisted of graded emotionally expressive faces of the same identity morphed between neutral and fearful endpoints. Two…

The purpose of this study was to examine the effects of simultaneous prompting on acquisition of letter-sound correspondences and blending skills of previously taught words for three elementary students with moderate intellectual disabilities, and to measure generalization of those skills to untaught words. The three students were first taught to…

This article examines the extent of differences between second language (L2) learners in their abilities to identify L2 consonants and provides evidence for linguistic generalization from one consonant to other consonants. It distinguishes among different sorts of models of the relationship between segments: (a) "segmentally specific models" in…

This study examined the degree to which teacher behaviors established as predictors of achievement generalize to Hispanic students. Participants included 995 students (68% Hispanic) across Grades 3 through 5 and their teachers (N = 46) in an urban school district in the Midwest. Classroom dynamics were measured using the Classroom Assessment…

Three second-grade students at-risk for reading failure participated in an adult-directed repeated reading program that integrated isolated word reading practice, unison reading, error correction, and performance cueing and feedback procedures. During each intervention session, the participants practiced five difficult words key to a first-grade…

This meta-analysis investigated the efficacy of peer-mediated interventions for promoting social interactions among children from birth to eight years of age diagnosed with ASD. Forty-five single-subject design studies were analyzed and the effect sizes were calculated by the regression model developed by Allison and Gorman (1993). The overall…

This study presented sets of 15 multiplication facts to each of 4 third-grade participants. The items were presented by an iPod each session three times at three different time delays. When mastery was achieved on a set (80% correct across 3 consecutive sessions), the participant moved on to a new set. Generalization probes were administered…

Picture Exchange Communication System (PECS) is a picture-based communication strategy used to teach communication skills to persons with developmental disabilities including autism. This article systematically reviews 13 published single-subject studies to examine the effectiveness of PECS, the effects of PECS on speech and problem behaviors,…