Although high-quality early educational environments are thought to be related to the growth of children's skills in mathematics, relatively little is known about specific aspects of classroom instruction that may promote these abilities. Data from a longitudinal investigation were used to investigate associations between teachers' language while…

We used multilevel analysis to examine the predictive validity of scores from the Framework for Teaching (FFT), the observation measure used most often to evaluate teachers' instruction. We investigated how well 81 kindergarten teachers' FFT scores for eight reading and eight mathematics lessons observed throughout the year predicted students'…

In the generative classroom, teachers provide well-designed learning environments that result in the combination, recombination, and reorganization of repertoires such that new untaught repertoires are likely to occur. One component that can contribute to such generativity is Precision Teaching (PT), a frequency building instructional…

As K-12 mathematics standards shift toward emphasizing both conceptual and procedural knowledge in secondary courses such as algebra and geometry, the struggles for students with disabilities become more pronounced. To address these challenges, research has commonly explored the use of technology to aid in the teaching of students with…

Does the timing of children's formal understanding of mathematical equivalence matter for algebra readiness? A change-resistance account (McNeil & Alibali, 2005) predicts that it is beneficial for children to construct a formal understanding of mathematical equivalence in the early grades before overly narrow operational patterns become…

Assistive technology supports students with disabilities in a variety of ways, including serving as a means of instruction. Although virtual manipulatives can serve as an assistive technology tool, limited research examines virtual manipulatives in-and-of-themselves to support students with disabilities. This study explored app-based virtual…

The current study investigated the effectiveness of an intensive writing intervention focusing on mathematical reasoning through written expression. A group pretest--intervention--posttest comparison experimental design was used to implement a 12-lesson intervention, delivered through a combination of Google Classroom and in-person classroom…

Number sense is critical to the development of higher order mathematic abilities. However, some children have difficulty acquiring these fundamental skills and the knowledge base of effective interventions/remediation is relatively limited. Based on emerging neuro-scientific research which has identified the association between finger…

Mathematical problem solving has been identified as one foundational area of mathematics for all students but is an area of weakness for students with disabilities. This investigation sought to determine the effects of peer-delivered schema-based instruction on the mathematical problem solving of the change problem type with four middle school…

The present study involved examining whether a storybook reading intervention targeting mathematics vocabulary, such as "equal," "more," and "less," and associated number concepts would increase at-risk children's vocabulary knowledge and number competencies. Children with early numeracy difficulties (N = 124) were…

The purpose of this study was to determine the effectiveness of a video-based instruction packet for teaching math-based vocational skills delivered through augmented reality (AR) to three adults with intellectual disabilities. The dependent variable was the percentage of steps performed correctly to solve each selected type of math problem. The…

A test of the effectiveness of patterning instruction was conducted with 140 first-graders. First, 383 first-graders from 20 classes were screened on a patterning test. The eight in each class who scored worst were given individual 15-minute lessons on patterning or reading or mathematics or social studies three times weekly for a period of 6 1/2…

A socioeconomic status (SES) gap in mathematical knowledge emerges early and widens prior to school entry. To address this gap, a curricular intervention, "Pre-K Mathematics," was developed and found to be effective in prior efficacy research. In the present project, the next step was taken in evaluating this intervention. Specifically,…

The purpose of this research is to examine whether the effect of mathematics instructional strategies depends on first graders' entering mathematics skills. In particular, the authors compare Saxon Math, which is a highly scripted whole class mathematics core curriculum and Saxon Math supplemented with student/peer assisted learning opportunities.…

Using data from the Applied Problems subtest of the Woodcock-Johnson Tests of Achievement (Woodcock & Johnson, 1989/1990, "Woodcock-Johnson psycho-educational battery-revised. Allen, TX: DLM Teaching Resources") administered to 1,364 children from the National Institute of Child Health and Human Development (NICHD) Study of Early…