The project is a longitudinal assessment of the prerequisite (e.g. fractions), cognitive (e.g. working memory), and non-cognitive (e.g. math anxiety) factors that dynamically influence 7-9th grade students' algebraic learning and cognition, with a focus on students with learning disabilities in mathematics. The study will provide the most comprehensive assessment of the development of algebra competence ever conducted and is organized by an integrative model of cognitive and non-cognitive influences on students' engagement in math classrooms and on the learning of procedural and spatial-related aspects of algebra.

# Finbarr Sloane

**University of Missouri-Columbia**

*08/15/2017*

**North Carolina State University (NCSU)**

*09/15/2016*

This project will build on prior funding to design a next generation diagnostic assessment using learning progressions and other learning sciences research to support middle grades mathematics teaching and learning. The project will contribute to the nationally supported move to create, use, and apply research based open educational resources at scale.

**University of Delaware (UD)**

*07/01/2017*

This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. This award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction.

**University of Cincinnati (UC)**

*09/01/2016*

This project will develop a comprehensive framework to inform and guide the analytic design of teacher professional development studies in mathematics. An essential goal of the research is to advance a science of teaching and learning in ways that traverse both research and education.

**Bowling Green State University**

*09/01/2017*

This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school districts, researchers, and other education professionals seeking to effectively measure children's problem solving. The aims of the project are to (a) create three new mathematical problem-solving assessments and gather validity evidence for their use, (b) link the problem-solving measures (PSMs) with prior problem-solving measures (i.e., PSM6, PSM7, and PSM8), and (c) develop a meaningful reporting system for the PSMs.

**Drexel University**

*09/01/2017*

This project builds upon the prior work by creating problem-solving measures for grades 3-5. The elementary assessments will be connected to the middle-grades assessments and will be available for use by school districts, researchers, and other education professionals seeking to effectively measure children's problem solving. The aims of the project are to (a) create three new mathematical problem-solving assessments and gather validity evidence for their use, (b) link the problem-solving measures (PSMs) with prior problem-solving measures (i.e., PSM6, PSM7, and PSM8), and (c) develop a meaningful reporting system for the PSMs.

**University of Arizona (U of A)**

*09/01/2017*

This project will develop a scalable, classroom-focused measure of usable mathematics teaching knowledge that is aligned with the state standards through a classroom video analysis measure (CVA-M) in three content areas: (a) fractions for grades 4 and 5, (b) ratio and proportions for grades 6 and 7; and (c) variables, expressions, and equations for grades 6 and 7. The project will examine the psychometric properties of the new items and scales, including the reliability of scores, and collect evidence on content, substantive, structural, and external aspects of validity to evaluate the overall construct validity of the CVA-M.

**University of California, Riverside**

*07/15/2019*

This purpose of this project is to develop and validate a range of assessments with a focus on academic preparedness for higher education. The team will explore relevant qualities of assessments such as their differential predictive validity to ensure they are appropriate for underrepresented groups, the optimal grade level to begin assessing readiness, and measures that are most appropriate for predicting STEM-specific readiness.

**Educational Testing Service (ETS)**

*09/15/2016*

The project will design an assessment based on learning progressions for the concept of function - a critical concept for algebra learning and understanding. The goal of the assessment and learning progression design is to specifically incorporate findings about the learning of students traditionally under-served and under-performing in algebra courses.

**University of Illinois at Urbana-Champaign**

*09/15/2016*

The project will develop and refine an electronic Test of Early Numeracy (e-TEN) in English and Spanish that will assess informal and formal knowledge of number and operations in domains including verbal counting, numbering, numerical relationships, and mental addition/subtraction. The overarching goal of the assessment design is to create a measure that is more accurate, more accessible to a wider range of children, and easier to administer than existing measures.

**Northwestern University (NU)**

*09/01/2019*

The primary goal of this set of workshops is to provide STEM education researchers with the framework, skills, and community they need to implement new developments in causal inference methods into their research.

**University of Michigan (UM)**

*10/01/2013*

The PI of this project argues cogently that assessment of pre-service teacher preparedness to teach is based on a flawed model. The goal then is to use a simulation model from other professional arenas: the training of doctors, nurses, etc., to offer new insights and control for the many variables that come to play when conducting evaluations in practice.

**Northwestern University (NU)**

*09/01/2014*

In this project, researchers will collaborate to enhance understanding of influences on learning, and improve teaching and learning in high school and middle school STEM classes. They will leverage the latest tools for data processing and many different streams of data that can be collected in technology-rich classrooms to (1) identify classroom factors that affect learning and (2) explore how to use that data to automatically track development of students' understanding and capabilities over time.

**University of Denver (DU)**

*07/01/2019*

The purpose of this project is to test the efficacy of the Learning and Teaching with Learning Trajectories (LT2) program with the goal of improving mathematics teaching and thereby increasing young students' math learning. LT2 is a professional development tool and a curriculum resource intended for teachers to be used to support early math instruction and includes the mathematical learning goal, the developmental progression, and relevant instructional activities.

**University of Delaware (UD)**

*09/01/2019*

The focus of this conference is to carefully examine past and current research with an eye toward improving its impact on practice and to create concrete steps that could shape the nature and impact of mathematics education research.

**Northwestern University (NU)**

*09/01/2018*

The goal of this project is to formalize subjective ideas about the important concept of replication, provide statistical analyses for evaluating replication studies, provide properties for evaluating the conclusiveness of replication studies, and provide principles for designing conclusive and efficient programs of replication studies.

**Vanderbilt University**

*12/01/2016*

This project will modify an existing assessment system (BEAR Assessment System) to provide ongoing, instructionally productive evidence to teachers about student learning and to link student work products and formative assessments with summative assessments in models that generate useful estimates of student growth.

**University of California, Berkeley (UC Berkeley)**

*12/01/2016*

This project will modify an existing assessment system (BEAR Assessment System) to provide ongoing, instructionally productive evidence to teachers about student learning and to link student work products and formative assessments with summative assessments in models that generate useful estimates of student growth.

**Education Development Center, Inc. (EDC)**

*07/01/2018*

This project will develop a set of statistics learning materials, with data visualization tools and an applied social science focus, to design applied data investigations addressing real-world socioeconomic questions with large-scale social science data. This project is designed to promote statistical understandings and interest in quantitative data analysis among high school students and engage students with content that resonates with their interests.

**University of California, Davis (UC Davis)**

*09/01/2018*

The purpose of this project is to develop, implement and test a professional development program, SOAR for Math, to build capacity for mentors and teachers to improve English learner's academic language development and mathematical content understanding.

**Harvard University**

*12/01/2016*

This project proposes an assessment study that focuses on improving existing measures of teachers' Mathematical Knowledge for Teaching (MKT). The research team will update existing measures, adding new items and aligning the instrument to new standards in school mathematics.

**University of Southern California (USC)**

*09/01/2018*

This project seeks to measure the kinds of knowledge developed in professional development (PD) programs that have been shown to matter for teachers' classroom practices and their students' learning. The project aims to develop an assessment that identifies patterns in the teachers' learning in a way that helps drive subsequent PD.The overall goal of this project is to pursue a potentially transformative approach to the assessment of teacher proportional knowledge by developing a measure that is well aligned with the content and skills taught in various PD programs.

**North Carolina State University (NCSU)**

*07/15/2019*

The main goal of this project is to validate a set of rubrics that attend to the existence and the quality of instructional practices that support equity and access in mathematics classes. The project team will clarify the relationships between the practices outlined in the rubrics and aspects of teachers' perspectives and knowledge as well as student learning outcomes.

### Validity Evidence for Measurement in Mathematics Education (V-M2ED) (Collaborative Research: Bostic)

**Bowling Green State University**

*08/01/2019*

The purpose of this project is to fully explore the mathematics education literature to synthesize what validity evidence is available for quantitative assessments in mathematics education.

**North Carolina State University (NCSU)**

*08/01/2019*

The purpose of this project is to fully explore the mathematics education literature to synthesize what validity evidence is available for quantitative assessments in mathematics education.