Background and Aims: Students with intellectual disability benefit from high-quality instruction in reading and mathematics. Methods: This Theoretical Paper outlines the need for effective, evidence-based instructional practices for this population and the potential for observation research to inform such advancements. We report our systematic…

On the basis of a substantial, robust, and well-replicated cognitive science research literature, interleaving has been recommended across a range of professional pedagogical works as an evidence-based strategy for mathematics teachers. This report first notes the conflation of interleaving and spacing effects underpinning those recommendations…

Background and Aims: Students with intellectual disability benefit from high-quality instruction in reading and mathematics. Methods: This Theoretical Paper outlines the need for effective, evidence-based instructional practices for this population and the potential for observation research to inform such advancements. We report our systematic…

Students encounter mathematics word problems as early as kindergarten and continue to see them throughout their schooling experience. Schema instruction with an attack strategy can support students to successfully navigate word-problem solving. Schemas help students categorize word problems by similar characteristics. To better support students…

Researchers have found that early math competencies are potent predictors of later student outcomes in math, reading, and executive functioning. This paper describes what early math instruction can look like and how some states have implemented evidence-backed strategies to teaching. Recommendations are given to State education leaders seeking to…

Too often, mathematics and science are taught in isolation from each other and from meaningful problems that matter to students. This book draws on the authors' experiences with teacher colleagues, including time spent in their classrooms co-developing and refining lessons. The core of their approach is to encourage learners to pursue solutions to…

Building proficiency with fraction arithmetic poses a consistent challenge for students with learning difficulties or disabilities in mathematics. This article illustrates how teachers can use the number line model to support struggling learners in making sense of fraction arithmetic. Number lines are a powerful tool that can be used to help…

This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students' mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students' mathematical potential, quality…

This convergent parallel mixed-methods study examines the relationship between high school mathematics teachers' research-based instructional practices and students' learning outcomes in Algebra 1 classrooms at a high school in a central region of a Southern U.S. State. The research addresses improving mathematics proficiency in the United States,…

This Fast Five provides an overview of key evidence-based practices that should be considered as part of core mathematics instruction, as well as intervention settings to meet the needs of all students.

Researchers determined virtual manipulatives, on their own or as part of an instructional sequence, to be an evidence-based practice for students with intellectual and developmental disabilities (IDD; Long et al., 2022). Yet, the majority of research looking at virtual manipulative-based instructional sequences involves the phases learned in a…

Effective classroom management is critical to supporting student learning and success in school. However, little research has focused specifically on the impact of classroom management on student mathematics achievement, especially in the early elementary grades or in a small group (i.e., Tier 2) context. To address this need we investigated the…

Research shows that when students engage with mathematical inquiry their problem-solving skills are strengthened. Demands in the revised Australian curriculum raised problem-solving of new senior secondary mathematics assessment, specifically in Queensland Problem-solving and Modelling Tasks (PSMTs). The challenge for Queensland was to scale…

Effective classroom management is critical to supporting student learning and success in school. However, little research has focused specifically on the impact of classroom management on student mathematics achievement, especially in the early elementary grades or in a small group (i.e., Tier 2) context. To address this need we investigated the…

In the U.S. the fifth-grade mathematics curriculum is largely devoted to building fraction skills, providing an essential foundation for future success in mathematics (National Mathematics Advisory Panel, 2008). Unfortunately, students in the U.S. struggle with fraction proficiency (National Assessment of Educational Progress, 2022; Organisation…