This case study involves one public school in a suburb of a major metropolitan area, focusing on one classroom of first grade students selected from a pool of volunteer classrooms. The first grade class of students, during their regular mathematics instruction, were given three tasks by their teachers designed to elicit a productive struggle…

Evidenced-based mathematics interventions are critical for supporting students with mathematics difficulties. In research and practice, collecting implementation fidelity is important for ensuring that all the core components of the intervention are implemented as designed. Historically, implementation fidelity has been defined as multi-faceted…

Evidenced-based mathematics interventions are critical for supporting students with mathematics difficulties. In research and practice, collecting implementation fidelity is important for ensuring that all the core components of the intervention are implemented as designed. Historically, implementation fidelity has been defined as multifaceted,…

Group size and treatment intensity are understudied topics in mathematics intervention research. This study examined whether the treatment intensity and overall intervention effects of an empirically validated Tier 2 mathematics intervention varied between intervention groups with 2:1 and 5:1 student-teacher ratios. Student practice opportunities…

Group size and treatment intensity are understudied topics in mathematics intervention research. This study examined whether the treatment intensity and overall intervention effects of an empirically-validated Tier 2 mathematics intervention varied between intervention groups with 2:1 and 5:1 student-teacher ratios. Student practice opportunities…

We examined dynamic assessment's (DA's) added value over traditional assessments for identifying Spanish-speaking English learners' (ELs) risk for developing mathematics disabilities, as a function of the language of test administration (English vs. Spanish), type of math outcome, and EL's language dominance. At the start of first grade, ELs (N =…

Learners' foundational math skills obtained in the elementary grades profoundly impact their preparation for learning math in the upper grades. However, there is a deficiency in the foundational math skills necessary to be proficient in math and equivalent with their peers at grade level (Burton, 2018). In the elementary classrooms of kindergarten…

Reading in alphabetic orthography requires analysis and recognition of specific attributes of visual stimuli, and generation, reactivation, and use of mental images of letters and words. This study evaluated the role of visual analysis and mental imagery in reading performances of students at different stages of reading acquisition. Reading…

We examined dynamic assessment's (DA's) added value over traditional assessments for identifying Spanish-speaking English learners' (ELs') risk for developing mathematics disabilities, as a function of the language of test administration (English vs. Spanish), type of math outcome, and EL's language dominance. At the start of 1st grade, ELs (N =…

The purpose of the present pilot study was to evaluate the effects of particular educational math games in kindergarten on numerical skills in Grade 1. Our participants were 49 children with early math difficulties, 65 average achievers, and 48 high-achieving 5-year-old children. All of them played various adaptive math games for 5 weeks. To avoid…

This qualitative study examines the challenges and supports inherent in a student-centered mathematics curriculum developed for a constructivist environment. Mathematics education faculty and special education faculty from a university college of education collaborated on this study to determine how students responded to specific components of…

This paper investigates the power of the computer guided clinical interview (CI) and new curriculum based measurement (CBM) measures to identify and help children at risk of low mathematics achievement. We use data from large numbers of children in Kindergarten through Grade 3 to investigate the construct validity of CBM risk categories. The basic…

Clarke et al. (2014) provide a persuasive case for the role of a theory-of-change model to guide the nature of curriculum development work embodying both a theoretical and empirical knowledge foundation. They illuminate the components of their model, which were used to design and test the efficacy of a Tier 2 intervention for students who met…

We used population-based, longitudinal data to investigate the relation between mathematics instructional practices used by first-grade teachers in the United States and the mathematics achievement of their students. Factor analysis identified four types of instructional activities (i.e., teacher-directed, student-centered,…

Focusing on two bilingual children experiencing learning difficulties, I explore the scientific representations these students generate in an afterschool programme where they have opportunities to exercise agency. In the programme, children use a digital camera to document science in their lives and engage in conversations about the products they…