REL Southeast developed this facilitator's guide on the topic of mathematical problem solving for use in professional learning community (PLC) settings. The facilitator's guide is a set of professional development materials designed to supplement the What Works Clearinghouse practice guide, Improving Mathematical Problem Solving in Grades 4…

Word problems are a challenging part of the math curriculum for students with emotional behavioral disorder (EBD). Schema-based instruction (SBI) is an evidence-based practice used in math that supports the underlying structure of any given word problem to find solutions to mathematical problems and apply that knowledge to future problems. Without…

This study explores children's early academic and self-regulatory skills as potential pathways through which a preschool enrichment program -- the Chicago School Readiness Project (CSRP) -- may contribute to low-income children's long-term outcomes (N = 466; M age at baseline = 4.10 years). We find that CSRP's impact on high school grades may be…

Perhaps more than at any other time in history, the development of mathematical skill is critical for the long-term success of students. Unfortunately, on average, U.S. students lag behind their peers in other developed countries on mathematics outcomes, and within the United States, an entrenched mathematics achievement gap exists between…

This paper is in the form of a reflective discussion of the collection of papers in this Special Issue on "Statistical reasoning: learning to reason from samples" drawing on deliberations arising at the Seventh International Collaboration for Research on Statistical Reasoning, Thinking, and Literacy (SRTL7). It is an important part of…

Research has shown that educated children and adults have access to two ways of representing numerical information: an approximate number system (ANS) that is present from birth and allows for quick approximations of numbers of objects encountered in one's environment, and an exact number system (ENS) that is acquired through experience and…

As we witness a push toward studying spatial reasoning as a principal component of mathematical competency and instruction in the twenty first century, we argue that enactivism, with its strong and explicit foci on the coupling of organism and environment, action as cognition, and sensory motor coordination provides an inclusive, expansive, apt,…

There is clear evidence that in typically developing children reasoning and sense-making are essential in all mathematical learning and understanding processes. In children with autism spectrum disorders (ASD), however, these become much more significant, considering their importance to successful independent living. This paper presents a…

This paper examines perspectives regarding the mathematical skills expected of adults and school graduates, comparing ideas developed as part of two major multinational comparative assessments of skills: the Programme for International Student Assessment and the Programme for International Assessment of Adult Competencies (also known as the OECD…

In abstract algebra, the study of concrete groups is fundamentally important to beginners. Most commonly used groups as examples are integer addition modulo n, real number addition and multiplication, permutation groups, and groups of symmetry. The last two examples are finite non-abelian groups and can be investigated with the aid of concrete…

This practical book provides pre- and inservice teachers with an understanding of how math can be learned through play. The author helps teachers to recognize the mathematical learning that occurs during play, to develop strategies for mathematizing that play, and to design formal lessons that make connections between mathematics and play. Common…

Math Corps is an evidence-based tutoring program serving students in grades 4 through 8 that increases opportunities to learn and practice fundamental math skills related to understanding whole and rational numbers. Its intent is that all students, in particular students who are Black, Latino, and/or experiencing poverty, will reach grade-level…

Achieving inclusive and quality education for all is a global priority, and policymakers are still grappling with the best ways to ensure the poorest and most marginalized children are in school and learning. About 120 million children, many from rural areas, are still out of school, despite a recent global push for universal access to education.…

Learning to compute with fractions is a major challenge for many students and especially for students with disabilities (SWD). Phase 1 of this study employed a randomized pretest-posttest comparison design to test the effects of two versions of formative assessment combined with an instructional program called Fractions at Work. In one condition,…

To increase opportunities for students to take more advanced math courses in high school, many school districts enroll grade 8 students in Algebra I, a gateway course for advanced math. But students who take Algebra I in grade 8 and skip other math courses, such as grade 8 general math, might miss opportunities to develop the foundational…