# Mathematics

## Leveraging MIPOs: Developing a Theory of Productive Use of Student Mathematical Thinking (Collaborative Research: Leatham)

The core research questions of the project are: (1) What is the nature of high-leverage student thinking that teachers have available to them in their classrooms? (2) How do teachers use student thinking during instruction and what goals, orientations and resources underlie that use? (3) What is the learning trajectory for the teaching practice of productively using student thinking? and (4) What supports can be provided to move teachers along that learning trajectory?

## Enhancing Mathematics Teaching and Learning in Urban Elementary Schools: A Cluster-Randomized Efficacy Trial of a Novel Professional Development Approach

This project is working with all teachers in grades three through five in the Portland, OR Public Schools in order to test the feasibility and efficacy of the Mathematics Studio Model of professional development. The model requires professional development to occur at the school level involving both teachers and principals. The goal of the project is to improve students' engagement and learning in mathematics by fostering effective instruction.

## Learning Trajectories to Support the Growth of Measurement Knowledge: Pre-K Through Middle School

This project is studying measurement practices from pre-K to Grade 8, as a coordination of the STEM disciplines of mathematics and science. This research project tests, revises and extends learning trajectories for children's knowledge of geometric measurement across a ten-year span of human development. The goal will be to validate all components of each learning trajectory, goal, developmental progression, and instruction tasks, as well as revising each LT to reflect the outcomes of the experiments.

## Assessing Secondary Teachers' Algebraic Habits of Mind (Collaborative Research: Sword)

This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.

## Assessing Secondary Teachers' Algebraic Habits of Mind (Collaborative Research: Matsuura)

This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.

## Supporting the Emergence of a Professional Teaching Community Through Collective Knowledge-Building in Assessment and Feedback of Mathematical Thinking (Collaborative Research: Brandt)

This collaborative project is developing an online, professional teaching community that addresses issues of assessment in mathematics classes. The developers are building on the success of the NSF-supported Math Forum's Problem of the Week program to create a community that works to increase students' mathematics learning by helping teachers stimulate student thinking, assess that thinking, and provide useful feedback to students.

## Assessing Secondary Teachers' Algebraic Habits of Mind (Collaborative Research: Stevens)

This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.

## Learning Mathematics of the City in the City

This project is developing teaching modules that engage high school students in learning and using mathematics. Using geo-spatial technologies, students explore their city with the purpose of collecting data they bring back to the formal classroom and use as part of their mathematics lessons. This place-based orientation helps students connect their everyday and school mathematical thinking. Researchers are investigating the impact of place-based learning on students' attitudes, beliefs, and self-concepts about mathematics in urban schools.

## Developing Principles for Mathematics Curriculum Design and Use in the Common Core Era

This project is developing principles for supporting middle school mathematics teachers' capacity to use curriculum resources to design instruction that addresses the Common Core State Standards for Mathematics. These principles are intended for: (1) curriculum developers; (2) professional development designers, to help teachers better utilize curriculum materials with respect to the CCSSM; and (3) teachers, so that they can use curriculum resources to design instruction that addresses the CCSSM.

## Supporting the Emergence of a Professional Teaching Community Through Collective Knowledge-Building in Assessment and Feedback of Mathematical Thinking (Collaborative Research: Silverman)

This collaborative project is developing an online, professional teaching community that addresses issues of assessment in mathematics classes. The developers are building on the success of the NSF-supported Math Forum's Problem of the Week program to create a community that works to increase students' mathematics learning by helping teachers stimulate student thinking, assess that thinking, and provide useful feedback to students.