Learning mathematics involves abstract thinking and the use of symbols. To be successful in a mathematics classroom, students must master what symbols mean and how they work. Much prior work has focused on the nature of the external representations used in mathematics instruction, including manipulatives and symbolic representations. In this work,…

The purpose of this analysis was to assess whether effects of first-grade mathematics intervention apply across the range of at-risk learners' initial skill levels. Students were randomly assigned to control (n = 213) and two variants of intervention (n = 385) designed to improve arithmetic. Of each 30-minute intervention session (48 over 16…

The importance of mathematics in early grades has been well established. Two variables that are associated with mathematics achievement are student-teacher relationships (STR) and student type (students identified with a disability and students not identified with a disability). The current study investigated the interaction between perceived STR…

This study reports achievement and growth from kindergarten to 4th grade for three groups of English Learners (ELs): (a) ever-ELs; (b) ELs consistently eligible for service; and (c) EL and Special Education dually-identified students. All three EL groups had lower test scores than never-ELs throughout K-4. In math, ELs grew more than never-ELs…

Early number skills, comprised of both informal and formal skills, are associated with later mathematics achievement. Thus, the development of foundational early number skills is an important aspect of early mathematics instruction. This study explored relations between early number skills gains and mathematics achievement for students at risk for…

Early number skills, comprised of both informal and formal skills, are associated with later mathematics achievement. Thus, the development of foundational early number skills is an important aspect of early mathematics instruction. This study explored relations between early number skills gains and mathematics achievement for students at risk for…

We present experimental evidence on the impact of a multi-faceted program that integrates technology-aided instruction, teacher training and coaching, community ownership, and free primary education. Our setting is three districts in rural Zambia, where we randomly assigned the program across 30 treatment and 33 control schools. The results show…

Cognitively Guided Instruction (CGI) is a mathematics instructional strategy that focuses on students using problem-solving strategies to construct their own understanding. Little research has been conducted to help determine what CGI could look like in other subject areas. The purpose of this study was to investigate ways to apply CGI to a…

The purpose of this closely aligned conceptual replication study was to investigate the efficacy of a Tier 2 kindergarten mathematics intervention. The replication study differed from the initial randomized controlled trial on three important elements: geographical region, timing of the intervention, and instructional context of the…

The pilot research presented here explores the classroom use of Emerging Literacy in Mathematics (ELM) software, a research-based bilingual interactive multimedia instructional tool, and its potential to develop emerging numeracy skills. At the time of the study, a central theme of early mathematics curricula, "Number Concept," was fully…

Students who come from low-income backgrounds tend to be underidentified and underserved in gifted education. Early interventions with learners of high potential from underserved groups, including exposure to challenging curriculum and summer opportunities, are important for nurturing these students' talents and preparing them for advanced…

This study examined the efficacy of a core kindergarten mathematics program, Early Learning in Mathematics (ELM), a 120-lesson program with four content strands: (a) number operations, (b) geometry, (c) measurement, and (d) vocabulary. The study utilized a randomized block design, with 129 classrooms randomly assigned within schools to treatment…

Replication studies are extremely rare in education. This randomized controlled trial (RCT) is a scale-up replication of Fuchs et al., which in a sample of 139 found a statistically significant positive impact for Number Rockets, a small-group intervention for at-risk first graders that focused on building understanding of number operations. The…

Under the Individuals with Disabilities Education Act, schools are required to provide a free appropriate public education to students with disabilities and show that the students are making academic progress. This study compares within- and across-years academic growth from kindergarten to 4th grade for students who were ever in special education…

The purpose of this closely aligned conceptual replication study was to investigate the efficacy of a Tier 2 kindergarten mathematics intervention. The replication study differed from the initial randomized controlled trial on three important elements: geographical region, timing of the intervention, and instructional context of the…