Mathematics

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.

Over a period of five years the SmartGraphs project developed HTML5 software for teaching and learning STEM subjects that make use of line graphs and scatter plots. SmartGraphs activities help students understand the “story” represented by a graph. The project created dozens of activities for algebra, physical science, and other STEM subjects, as well as an authoring system allowing non-computer-programmers to create and disseminate free online activities.

DR K–12 projects have been funded to conduct (1) activities and develop materials that are beneficial to the STEM education community (teachers and students) and (2) education research to ensure continuous improvement of these activities and materials.

The Common Core State Standards for Mathematics (CCSSM) offer an opportunity for districts to push teachers to enact ambitious practices around instruction and curriculum use. However, taking up ambitious practices entails a number of challenges, some of which were evident during the NCTM Standards reform movement in the 1990s and early 2000s, and some of which reflect new approaches and new policy contexts.

The main goal of this session is to share and get feedback on materials from a 40-hour professional development program for elementary mathematics, focusing in particular on the organization of facilitation supports included in these materials. The PD was designed to help teachers promote discourse in elementary mathematics classrooms. In particular, it defines and helps teachers implement “responsive” discourse in the classroom, that is, discourse in which all students are responsible for learning and engaged in probing each other’s mathematical ideas.

The three panelists in this session are in the last one or two years of their game-based learning projects, and all have done extensive work in supporting use of their games in classroom learning. As their work has progressed, each has discovered valuable ways to support teachers as well as encountered surprises in what teachers wanted (and didn’t want), and now recognize things they wished they had learned in the beginning of their projects. Session participants leave with recommendations they can use in their current projects, including:

The collective work represented in this session responds to reports that the United States’ competitive advantage lies in its role as a technological innovation leader and to proposals that individual interest in innovation should be fostered early to avoid stereotypes and other impediments to entering the innovation pipeline.

The original version of the Mathematical Quality and Equity (MQE) video codes (Goffney, 2010; LMT, 2010) were developed as a section of the Mathematical Quality and Instruction observational instrument developed by the Learning Mathematics for Teaching Project at the University of Michigan.

In Assessing Secondary Teachers’ Algebraic Habits of Mind, the project team is developing tools to study the following questions: What are the mathematical habits of mind (MHoM) that secondary teachers use, how do they use them, and how can we measure them?

In this session, presenters share a paper-and-pencil assessment being developed to measure how teachers use MHoM when they do mathematics for themselves. The presenters also share classroom video and a preliminary framework for examining MHoM in teaching practice.