Mathematics

This study investigates the integration of early science with mathematics and engineering and involves co-designing resources with preschool teachers and families from historically underserved communities to provide preschool children equitable STEM learning experiences. The study also explores connections between home and school learning and involves designing resources to support multilingual learners, who represent a large (and growing) proportion of the population served in public preschool programs.

This project has developed practical measures, and associated routines and data representations, to support the implementation of instructional improvement strategies (e.g.,coaching) in middle-grades mathematics teaching. We will describe our classroom measures, which assess students' perspectives of key aspects of the classroom learning environment; the contributions they have made to our partner districts’ improvement efforts; and how we have attended to validity in the design and use of practical measures.

In this project, we developed, piloted, and studied the use of a set of performance-based tasks delivered within a simulated classroom environment in order to improve preservice elementary teachers' ability to facilitate argumentation-focused discussions in mathematics and science. We conceptualized these simulated discussions as formative assessment opportunities, and studied how teacher educators made use of them within methods courses to support preservice teachers' learning. We also examined evidence of preservice teacher learning via pre/post measures.

CASPIR is a 5-year NSF-funded project aimed at co-developing and implementing the Elementary Math Leadership (EML) model in four K-8 school districts to improve K-8 math teaching and learning. This is done by: (1) gathering information about problems of practice collaboratively identified by districts/research team; (2) co-designing and co-implementing coherent PD; and (3) engaging in iterative cycles of co-development, implementation, and revision to productively adapt the PD model over a series of years.

The project examines how representations of practice facilitate preservice teachers' professional knowledge for teaching fractions and multiplication/division. The project focuses specifically on: how single and multi-perspective 360 video affects PSTs' professional knowledge; how PSTs use technological scaffolds to engage in 360 video, and its effect on their professional knowledge; and the design of a platform for teacher educators to create their own 360 video immersive experiences

Co-PI(s): Richard E. Ferdig and C. C. Lu, Kent State University

Professional development (PD) is more effective when it involves more than lead classroom teachers. Collaborative Math is a year-long professional development program designed to bring together preschool center leadership and all teaching staff for an in-depth study of early mathematics teaching and learning. We implemented the program in a total of 15 Head Start centers across two years. We found positive shifts in teacher confidence and knowledge as well as child math achievement.

The goal of the design and development study, Proof in Secondary Classrooms (PISC), is to develop an innovative intervention to support the teaching and learning of mathematical proof in secondary geometry. PISC made use of features of lesson study and continuous improvement. Findings featured in the poster involve quantitative assessment results from pre-tests and post-tests administered over three years. Overall, the PISC curriculum had a statistically significant, positive impact on students' end-of-year results.

The main issue our project addresses is how students' reasoning about mathematics concepts that are not new to them (e.g., linear functions) changes when learning about a new concept (e.g., quadratic functions), and we call this phenomenon backward transfer. We specifically focus on mathematics, but believe our backward transfer research is highly relevant within and across STEM content domains more broadly.