This project targets first- and second-grade children who struggle to develop a deeper understanding of the mathematical strand of number and operation. The research team will (a) identify the various specific cognitive obstacles of first- and second-grade students who are struggling in number and operation, and (b) explore how instructional tasks designed to address specific cognitive obstacles affect the learning trajectory of struggling learners in number and operation.

# John Bradley

**University of Missouri**

*09/01/2009*

**University of Pittsburgh (Pitt)**

*03/01/2010*

This project is reviewing and analyzing policy documents and studies related to Algebra I learning and teaching, in order to (1) gain a better understanding of algebra education in the United States; and (2) conduct an accounting of research questions that have and have not been taken up by policy documents to date. The results are to be disseminated to both the mathematics education research community and to the education policy community.

**University of Illinois at Chicago (UIC)**

*09/01/2009*

This project is carrying out a research and development initiative to increase the success rates of our most at-risk high school students—ninth-grade students enrolled in algebra classes but significantly underprepared for high school mathematics. It will also result in new understandings about effective approaches for teaching mathematics to struggling students and about effective ways for implementing these approaches at scale, particularly in urban school districts.

**SRI International**

*08/01/2005*

This project focuses on scaling up the SimCalc project and emphasizes bridging mathematical knowledge for teaching (MKT) on proportional reasoning and argumentation as part of teachers' classroom practices. This project will test the hypothesis that professional development that helps to bridge content knowledge and classroom practice can effect positive teacher change and seeks to understand how this is accomplished.

**Conference Board of the Mathematical Sciences (CBMS)**

*10/01/2009*

The Conference Board for the Mathematical Sciences (CBMS) is organizing and hosting a National Forum on the Content and Assessment of School Mathematics. The conference is intended to provide an opportunity for policy makers and the broad mathematics education community to provide input into the standards development process. CBMS will produce a white paper on the key issues.

**Conference Board of the Mathematical Sciences (CBMS)**

*09/15/2010*

This project is organizing and hosting a National Forum on Content-Based Professional Development for Teachers of Mathematics. Expanding on work begun at two previous CBMS Forums, this third forum will provide the participants with a better understanding of the features of high quality content-based professional development and increase the number of college and university mathematics departments who partner with state departments and local school districts to provide professional development to working teachers.

**University of South Florida (USF)**

*04/01/2010*

The University of South Florida is hosting a conference on Research on the Enacted K-12 Mathematics Curriculum. The purpose of the conference is to explicate the theory on mathematics curriculum enactment, defining key constructs and explaining how they are expected to interact, and why, in order to facilitate the systematic accumulation of knowledge about mathematics curriculum enactment that can guide policy and practice.

**University of Missouri**

*09/01/2009*

The Service, Teaching, and Research (STaR) Project supports networking of early career professionals in mathematics education in higher education. Summer conferences and academic year networking allow time for trust and collegiality to develop, and thereby provide opportunities for important issues/challenges to be identified and addressed. This sustained effort promotes networking, constructs an environment that allows working research groups to be established, and provides time for significant professional growth and leadership capacity to flourish.

**University of Missouri**

*09/15/2009*

This project provides visionary leadership to the education community by (a) identifying and analyzing the needs and opportunities for future STEM curriculum development and (b) recommending policy positions and actions by funding agencies and STEM educators regarding the development and implementation of STEM school curricula.

**Consortium For Mathematics and Its Applications, Inc. (COMAP)**

*03/01/2011*

This conference's primary goal is to discuss issues and recommend actions regarding assessment design and production that arise in an environment of Common Core State Standards (CCSS). Participants will include representatives from the governing states as well as from the leadership teams of the assessment consortia along with experts in curriculum development, standards implementation and assessment.

**Arizona State University (ASU)**

*05/01/2004*

This project is producing a model for a Professional Learning Community (PLC) for pre-calculus teachers in secondary schools. It generates research knowledge from cycles of (1) defining, (2) studying and (3) refining the model and its components. The project leadership team are then be able to describe the support structure, group processes and tools needed to assist secondary pre-calculus teachers in providing high quality instruction for their students.

**Texas State University**

*09/01/2009*

This project is conducting repeated randomized control trials of an approach to high school geometry that utilizes Dynamic Geometry (DG) software and supporting instructional materials to supplement ordinary instructional practices. It compares effects of that intervention with standard instruction that does not make use of computer drawing tools.

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

*03/01/2005*

This project aims to identify and organize research that is most useful to K-12 mathematics curriculum decision makers and to develop improved mechanisms for them to make good use of such research. Products will include research reports and an annual seminar. The goal is to create an infrastructure designed to support K-12 mathematics leaders in their efforts to better use research to inform curricular decision-making processes.

**Montana State University**

*07/15/2009*

This project conducts research on knowledge that contributes to successful coaching in two domains: coaching knowledge and mathematics content knowledge. The influence of these knowledge domains on both coaches and teachers is being examined in two ways: (1) by investigating correlations between assessments of coach and teacher knowledge and practice in each domain and (2) by investigating causal effects of targeted professional development for coaches.

**Cornell University**

*09/03/2008*

We are analyzing the intended algebra curriculum as represented in a variety of high-school mathematics textbooks – Core Plus Mathematics Project (CPMP), Discovering Mathematics (Key Curriculum Press), EDC's Center for Mathematics Education, Glencoe, Interactive Mathematics Program (IMP), and University of Chicago School Mathematics Project (UCSMP). The textbook analysis is based on two dimensions frequently used for curriculum analysis: a content dimension and a cognitive dimension.

**TERC, Inc.**

*07/01/2006*

This project develops images, extended examples, and principles that illustrate how the articulation, representation and justification of general claims about operations evolve in the elementary grades and how this work supports the transition from arithmetic to algebra in the middle grades. An online course uses the Sourcebook as a text to engage teachers in considering the underlying pedagogical and mathematical aspects of the work and implementing these ideas in their instruction.

**Ithaca College**

*04/01/2010*

This project provides partial support for the First North American GeoGebra Conference, GeoGebra-NA2010, to be held July 27-28, 2010 at Ithaca College. The global mission of this conference is to build a community of mathematicians, mathematics educators, and classroom teachers who can develop the potential of GeoGebra and other similar software for transformation of mathematics instruction and curricula through creative development, practical experimentation, and research.

**University of Louisville (U of L)**

*10/01/2008*

Geometry Assessments for Secondary Teachers (GAST) represents a collaborative partnership among faculty and staff at the University of Louisville, the University of Kentucky, Florida State University, Alpine Testing Solutions, and Horizon Research, Inc. to develop a knowledge framework and assessments for secondary mathematics teachers' geometry knowledge for teaching. The framework for the assessments will be designed to collect validity evidence for predicting effective geometry teaching and improving student achievement.

**Mississippi State University (MSU)**

*04/01/2004*

This is a project to develop a learning community model that spans the educational continuum. It connects teacher research participation experience (TRE) projects and science, technology, and mathematics (STM) industry and university scientists/professionals to research the factors that contribute to the success of such a model. It will mine both the Principal Investigator's and TRE projects, education and industry partnership immersion projects, and provide new education/workplace experiences for STM participants.

**Harvard University**

*09/01/2009*

To meet College and Career-Ready standards in mathematics, classroom instruction must change dramatically. As in past reform efforts, many look to professional development as a major force to propel this transformation, yet not enough is known about mathematics professional development programs that operate at scale in the United States. In this project, we evaluated one such program.

**San Diego State University (SDSU)**

*06/01/2005*

This project seeks to map a trajectory for the evolution of elementary school mathematics teachers engaged in sustained professional development. The goal of the project is to identify and understand the evolution of elementary school mathematics teachers' changing perspectives and needs as they participate in professional development. Drawing from a pool of more than 500 teachers, the sample includes 120 elementary school mathematics teachers engaged in sustained professional development for different lengths of time.

**Indiana University (IU)**

*08/15/2007*

This project aims to improve professional development programs for pre-service teachers (PSTs) as a way to improve student learning in mathematics and science. PSTs engage in a series of teaching cycles, and then engage in lesson study groups to develop, teach, and analyze a whole-class lesson. The cycle is completed by reexamining students' knowledge in teaching experiments with pairs of students. These teaching cycles are called Iterative Model Building (IMB).

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

*10/01/2007*

EDC is developing a high school capstone course in linear algebra. Student resources contain a core semester that develops two- and three-dimensional geometry using vectors and that treats matrix algebra and its applications to geometry; a semester of material that completes a typical undergraduate course (exploring bases, determinants and eigentheory); and 5 stand-alone modules that develop applications of this core to mathematics, engineering, science, and other STEM fields.

**WestEd**

*09/15/2009*

Math Pathways & Pitfalls lessons for students boost mathematics achievement for diverse students, including English Learners, English Proficient students, and Latino students. This project develops modules that increase teachers’ capacity to employ the effective and equitable principles of practice embodied by Math Pathways & Pitfalls and apply these practices to any mathematics lesson. This four-year project develops, field tests, and evaluates 10 online professional development modules.

**TERC, Inc.**

*12/15/2007*

The goal of this conference was to bring together classroom teachers, mathematics educators, mathematicians, and community college faculty to consider critical questions about content and pedagogy in the mathematics education of K-8 teachers. These discussions were grounded by co-teaching actual professional development sessions, through observing each other teaching, and through debriefing teaching sessions based on observations and videotape. The participants developed an emerging set of principles and approaches to professional development for K-8 teachers.

**Institute for Advanced Study (IAS)**

*06/15/2006*

This project will produce, publish and disseminate a strong mathematics content curriculum for in-service secondary mathematics teachers and prepare a group of specialized teacher-leaders to deliver this curriculum across the country. Important components of this project are that expert teachers will ensure that the mathematics is relevant to the professional lives of secondary teachers and mathematicians will be core members of the development and review team.

**North Carolina State University (NCSU)**

*09/15/2007*

A collaboration among educators, engineers, and mathematicians in three universities, this project is creating, implementing, and evaluating a one-year curriculum for teaching a non-calculus, fourth-year high school mathematics course and accompanied assessment instruments. The curriculum will draw on decision-making tools that include but go well beyond linear programming, to enhance student mathematical competence (particularly solving multi-step problems), improve students' attitudes toward mathematics, and promote states' adoption of the curriculum (initially NC and MI).

**Conference Board of the Mathematical Sciences (CBMS)**

*09/15/2008*

The Conference Board for the Mathematical Sciences (CBMS) is collaborating with the U.S. Department of Education to host a forum in Washington, DC designed to launch action for change in mathematics education based on the recommendations of the National Mathematics Advisory Panel. This forum will focus specifically on the following four areas: teachers and teacher education, learning processes, instructional material, and standards of evidence—research policies and mechanisms.

**Consortium For Mathematics and Its Applications, Inc. (COMAP)**

*02/15/2008*

This workshop aimed to develop a consensus on the best methods for selecting the most important outcomes of NSF’s mathematics and science education funding over the past few decades and for assessing the impacts of these outcomes. Issues addressed included how to select the NSF programs to be assessed; which persons should be interviewed; which methodologies should be used to assess program impact; and how data would be gathered, organized, reported, and disseminated.

**North Carolina State University (NCSU)**

*09/01/2004*

This study targets elementary schools with a documented achievement gap between White American and African American students and investigates: (a) the ways K-2 teachers draw upon their current knowledge (mathematical, cultural, pedagogical) to make sense of African American students' conceptions; (b) how teachers might advance their practice through understanding of the relationship between students' cultural experiences and mathematical conceptions; and (c) to what extent this advancement brings forth solid foundations in mathematics among all students.

**University of Wisconsin-Madison (UW-Madison)**

*09/01/2010*

This project is creating and studying a professional development model to support preK teachers in developing culturally and developmentally appropriate practices in counting and early number. The proposed model is targeted at teachers of children in four-year-old kindergarten, and focuses on culturally relevant teaching and learning. The model stresses counting and basic number operations with the intention of exploring the domain as it connects to children's experiences in their homes and communities.

**North Carolina State University (NCSU)**

*08/01/2010*

This project will adapt and study successful discourse strategies used during language arts instruction to help teachers promote mathematically-rich classroom discourse. Of special interest is the use of models to promote mathematics communication that includes English language learners (ELL) in mathematics discourse.The project will result in a full 40-hour professional development module to support mathematics discourse for Grade 2 teachers, with an emphasis on place value, multidigit addition and subtraction, and linear measurement.

**University of Connecticut (UConn)**

*08/15/2007*

Project M^{2} is producing and disseminating curriculum materials in geometry and measurement for students in grades K-2. This builds on success of the M^{3} U.S. Department of Education curriculum grant for students in Grades 3-5. (www.projectm3.org). Project M^{2} units are advanced units for all students designed using research-based practices in mathematics, early childhood, and gifted education. Curricular materials focus on promising discourse and hands-on inquiry of rich problem-situations.

**Arcadia University**

*09/15/2007*

This project has two goals:

1) to discover methods that can efficiently obtain information about the effects of high school programs on eventual college success. Methods we are considering include obtaining transcripts from post-secondary institutions, surveying high school graduates, and obtaining information from the National Student Clearinghouse.

2) to explore how students who studied Contemporary Mathematics in Context (Core Plus) or the Integrated Mathematics Program (IMP) fare in post secondary institutions.

**National Council of Teachers of Mathematics (NCTM)**

*09/01/2010*

This project is organizing and hosting a working conference on Response to Intervention (RtI) and related strategies in teaching and assessment in Mathematics. Goals of this work are: To build a community of researchers and practitioners to identify, expand and sustain research needs in this area; to identify and improve the research available related to teaching mathematics within an RtI model; and to develop resources to support teacher's understanding and application of RtI strategies.

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

*09/01/2008*

This project is (1) conducting a qualitative study on the way facilitators use Math for All (MFA), an NSF-supported set of professional development materials for teachers who teach elementary school students with disabilities; (2) developing resources based on that study for teacher leaders and other facilitators of professional development; and (3) conducting fieldtests of the resources to examine their usefulness and impact.

**University of Michigan (UM), University of Maryland (UMD)**

*09/01/2009*

This project focuses on practicing and preservice secondary mathematics teachers and mathematics teacher educators. The project is researching, designing, and developing materials for preservice secondary mathematics teachers that enable them to acquire the mathematical knowledge and situated rationality central to teaching, in particular as it regards the leading of mathematical discussions in classrooms.

**University of Texas, Austin**

*07/01/2005*

This project is creating a system of online and face-to-face support services to strengthen the teaching and learning of Algebra II. The resources will make use of technology, will differentiate support for teachers in various stages of their careers and will aim to serve teachers of under-achieving populations of students. Support will be provided for four critical aspects of a teacher's work: Instructional planning, instructional delivery, instructional outcomes assessment and professional capacity development.

**Rutgers University (RU)**

*10/15/2006*

This project will develop 15 modules for high school students that connect biology, computation, and mathematics with corresponding teacher materials and professional development activities. The modules will draw on an approach to biological phenomena as involving information processing, in three illustrative areas conducive to learning at the high school level: Bioinformatics and Computational Biology, Mathematical Methods in Epidemiology, and Mathematical Methods in Ecology.

**Rutgers University (RU), Boston University (BU), Colorado State University (CSU)**

*09/15/2010*

This project continues research and development work on high school instructional materials that integrate biology, computing, and mathematics. The project goal is to develop and test a one-semester high school course. The course consists of some modules developed under a previous NSF grant as well as some new material. Intended deliverables include up to five new instructional modules and a coherent one-semester course suitable for the increasing state requirements for a fourth year of mathematics.

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

*10/01/2007*

The Coaching Cycle project is creating an online course for K–8 mathematics instructional coaches. The project targets coaches in rural areas and small schools who do not have access to regular district-wide professional development. It provides training in the skills needed for effective instructional coaching in mathematics by using artifacts collected by practicing coaches to engage course participants in the practice of coaching skills.

**Algebra Project, Inc.**

*09/01/2008*

This project is developing and conducting research on the Cohort Model for addressing the mathematics education of students that perform in the bottom quartile on state and district tests. The predicted outcome is that most students will remain in the cohort for all four years and that almost all of those who do will perform well enough on college entrance exams to be admitted and will test out of remedial mathematics courses.

**University of Maryland (UMD)**

*07/01/2008*

This conference showcases and analyzes progressive ideas about curriculum, teaching, assessment, and technology in high school and early college mathematics. The conference brings together leaders of state and local school system mathematics programs, mathematicians, curriculum developers, educational researchers, and education policy makers for in-depth discussion of the challenges and opportunities for innovation in high school mathematics.

**Rutgers University (RU), Colorado State University (CSU), Hobart and William Smith Colleges (HWS)**

*07/01/2010*

This project is developing and testing a set of 12 curriculum modules designed to engage high school students and their teachers in the process of applying computational concepts and methods to problem solving in a variety of scientific contexts. The project perspective is that computational thinking can be usefully thought of as a specialized form of mathematical modeling.

**University of Michigan (UM)**

*08/01/2004*

This project seeks to understand the practical rationality that undergirds teachers’ actions as they meet subject-specific goals of the teaching of algebra and geometry. The study develops a collection of representations of teaching that showcase possible classroom episodes and allows practitioners to ponder alternatives in teaching. The representations are built on computer animations and other forms of sequential art that display action over time.

**University of Colorado Boulder**

*10/01/2007*

The study includes two and a half years of preparation and support for all the mathematics instructional leaders (ILs) within a large urban school district with a substantial minority student enrollment. These ILs will implement the Problem-Solving Cycle model with the mathematics teachers in their schools. Researchers will analyze the preparation and support that ILs need, the quality of their implementation, and the impact of the PD process on ILs, teachers, and students.

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

*09/01/2008*

This project examines the nature and process of collaborations between mathematicians and mathematics teacher educators engaged in the preparation of secondary mathematics teachers. KnoTSS participants are teams of mathematicians and educators who co-teach two courses (one mathematics course and one methods of teaching mathematics course) aimed at building integrated knowledge of content and pedagogy.

**University of Michigan (UM)**

*09/01/2010*

This project uses items and data from the Program for International Student Assessment (PISA) to develop two kinds of resources for preparation and professional development of secondary mathematics teachers: one in the form of prototype professional learning materials and a second in the form of PISA-based, research-grounded articles written for mathematics teachers and teacher educators. Work on both resources will focus on algebra and quantitative literacy and on factors influencing educational equity.

**TERC, Inc.**

*09/01/2010*

This project will develop and systematically investigate a teaching model to assist teachers in developing ideas about proof in grades 2-5. The teaching model provides both a tool for learning on the part of elementary teachers and a model of practice from which they can learn as they implement it.

**University of Chicago (U of C)**

*07/15/2010*

This project will design, develop, and test a virtual learning community (VLC) to enhance the ability of first- and fourth-grade teachers to provide mathematics education. The goal is to produce a prototype of a VLC for first- and fourth-grade Everyday Mathematics teachers that integrates three primary elements: (a) learning objects rooted in practice, such as lesson video, (b) community-building tools offered by the internet, and (c) focused content that drives teachers' professional learning in mathematics.