Mathematics

In the past 20 years, mathematics education research has seen a turn toward the social and, consequently, discursive aspects of learning (Kieran, Forman, & Sfard, 2001; Ryve, 2011). A heightened attention to discursive features of instruction is seen in the recent publication Principles to Actions (NCTM, 2014), which describes an ambitious image of mathematics teaching and learning for the 21st century.

This session focuses on methods and results from four current NSF-funded studies (three of which are funded under DR K–12). Two studies are attempting to capture the essential features of inclusive STEM-focused high schools and are developing data-based conceptual frameworks. One of these is conducting rich case studies of eight high-functioning, inclusive STEM high schools (ISHSs), drawn from seven different states, to build a common model for designing such schools.

This session provides a forum for discussion around issues of alignment between programs, their learning goals, and the measures for assessing program effectiveness. The session seeks to offer ideas and strategies on how to tackle these kinds of issues.

The session addresses a common challenge in research—the tension between the need for using existing measures to ensure that research results can be compared across studies and the need for using measures that are well-aligned with a program’s learning goals to assess treatment effects.

This session explores the role of funding programs in shaping research agendas through deliberate and targeted funding for priority areas. With the English language learner (ELL) population in U.S. schools on the rise and a growing demand for expansion and development of STEM education, intersecting research in these two fields represents an important effort to address pressing issues in U.S. schools and the STEM workforce.

The goal of this session is to assist other project teams in the design and testing of game-based mathematics products. The session includes a discussion of recently completed randomized control trials of the Math Snacks games. Participants leave with concrete ideas on designing and testing e-learning products designed for classroom use with a focus on middle school concepts.

The LAMP project has developed a sequence of lessons in a hypothetical learning trajectory that targets students’ ability to write viable arguments in algebraic contexts. Most of the lessons encourage students to produce a referent (e.g., variable expression or equation, generic example, diagram) as the foundation of their argument. Students come to the lessons with a predisposition for example production in support of their claims and to augment arguments.

Algebraic habits of mind, at the core of five of the Standards for Mathematical Practice, become both a potent and appealing intervention for at-risk algebra students and a solid prevention-model middle-school course either to accelerate algebra or to ensure success in a later algebra course. The session focuses on the habits of mind in that context, in related professional development work that addresses the Standards for Mathematical Practices, and on assessment of algebraic habits of mind in teachers.