Educators and researchers highlight the important role that math plays in providing opportunities for upward mobility in the United States (and globally). Many students from underrepresented communities, including Black, Hispanic/Latinx, and low-income students, often do not get the support they need to develop a positive math mindset, sense of…

This paper explores peer interactions in an elementary mathematics classroom (ages 9-10) where the teacher intentionally shared authority with her students and supported them in learning to share authority with one another. Authors examine how students shifted between shared, concentrated, and contested social and intellectual authority relations…

This work outlines a model for creating momentum for active learning at the departmental level through a Community of Practice. This approach focuses on empowering members of the community by providing easy access to active learning tasks, pacing guide, and teaching tips for the course.

How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…

This paper discusses the author's experiences of getting advanced undergraduate math students to engage in mathematical inquiry by using games as a vehicle for exploration. The students explored the mathematics behind SET®1, Spot it!®2, Blokus®3, and Six®4. Specifically, we present the experience of the instructor and students and how the games…

This quasi-experimental study focused on 15 pairs of children with extensive support needs, matched across 12 characteristics based on their first complete Individual Education Program (IEP) in the school district. One child in each pair was included in general education for 80% or more of their day from their first IEP to the most current IEP at…

Instructional materials are a key means to achieving the goals of science education--an enterprise that yields unique and worthwhile benefits to individuals and society. As states and districts move forward with adoption and implementation of the Next Generation Science Standards (NGSS) or work on improving their instruction to align with "A…

Group activities are an excellent way to enhance learning. When students are actively involved in a relevant project, understanding and retention are improved. The proposed activity introduces a timely and interesting project typical of the type encountered in statistical practice. Using the computer to successfully developing an appropriate model…

In this article, the author demonstrates how a broader view of what shapes affinity is ideologically and practically linked to creating democratic learning communities. Specifically, the author explores how a teacher employed complex instruction (an equity pedagogy) with her ethnically and racially diverse students in the "lowest track"…

In 2010, Governor Arnold Schwarzenegger signed the Kindergarten Readiness Act into law. The law changed the kindergarten entry cutoff so that children must turn five by September 1 to enter kindergarten. The law also established a new grade level--Transitional Kindergarten (TK)--which is the first year of a two-year kindergarten experience for…

Research indicates that a socioeconomic status-related gap in mathematical knowledge appears early and widens during early childhood. Young children from economically disadvantaged families receive less support for mathematical development both at home and in preschool. Consequently, children from different socioeconomic backgrounds enter…

Lab-centric instruction emphasizes supervised, hands-on activities by substituting lab for lecture time. It combines a multitude of pedagogical techniques into the format of an extended, structured closed lab. We discuss the range of benefits for students, including increased staff interaction, frequent and varied self-assessments, integrated…

While many of the concepts and approaches that comprise student-centered learning have deep roots in learning theory, the cognitive sciences, and youth and child development, empirical research on student-centered learning's impact in K-12 classrooms remains limited. This report offers highlights from three studies commissioned by Nellie Mae,…

Implementing intentional change is at the heart of Beyond Crossroads. Using assessment of student learning as a vehicle for improving learning is one of the underlying principles integrated throughout the AMATYC standards and expanded upon in Chapter 5. In this article three case studies from Los Medanos College in Pittsburg California illustrate…

The card games in this publication are an alternative activity to help students master computational skills. Games for operations with whole numbers, fractions, decimals, percents, integers, and square roots are included. They can be used to introduce math topics and for practice and review, with either the whole class or in small groups with 2 to…