This project involves designing, facilitating, and studying professional development (PD) to support equitable mathematics education. The PD will involve grades 4-8 mathematics teachers across three sites to support the design of a two-week institute focused on enhancing access and agency in relationship to important math practices, followed by ongoing interactions for the math teachers to engage in systematic inquiry of their practice over time to facilitate equitable mathematics teaching and learning in their classrooms.

# Karen King

### People

**Michigan State University (MSU)**

*09/01/2014*

**Virginia State University Foundation**

*09/15/2016*

This project will scale up, implement, and assess the efficacy of interventions in K-12 mathematics education based on the well-established Algebra Project (AP) pedagogical framework, which seeks to improve performance and participation in mathematics of students in distressed school districts, particularly low-income students from underserved populations.

**University of Colorado Boulder**

*07/01/2015*

This study will examine the impact of the Learning and Teaching Geometry (LTG) professional development for secondary mathematics teachers on the teachers' knowledge and classroom instruction, as well as on their students' learning. As the nation invests vast resources in the professional development of teachers to meet new curriculum and instruction challenges, exploring the efficacy of professional development is important to understand how best to direct those resources.

**University of Michigan - Ann Arbor**

*09/01/2015*

The infrastructure to improve mathematics education in the US requires building human resources in mathematics and mathematics education into a professional community that can respond to the critical needs in the field. This project seeks to build a professional community with shared understanding of the specialized content knowledge (SCK) - the special forms and ways of reasoning about mathematical knowledge used in teaching (MKT).

**Mathematical Sciences Research Institute (MSRI)**

*04/01/2015*

This project will convene two workshops, held in 2015 and 2016, which will focus on developmental mathematics and other critical issues in mathematics education. The workshop will frame critical issues; draw attention to issues of diverse participation and success in mathematics; and provide images of productive engagement for participants to draw upon as they return to their professional communities.

**University of Pennsylvania (Penn)**

*09/01/2018*

*This grant is also known as The Responsive Math Teaching Project: Developing Instructional Leadership in a Network of Elementary Schools.*

The goal of this project is to build instructional leadership capacity in teachers and school-based leaders in a network of underperforming elementary schools with limited resources. Through design-based improvement research, the project is designed to enhance the knowledge, skills, and competencies of elementary teacher leaders and principals to develop a shared vision and provide ongoing support of high-quality math instruction.

**University of Georgia Research Foundation, Inc. (UGARF)**

*07/15/2014*

Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts including function and algebra. The project extends prior research in quantitative reasoning to develop differentiated instructional experiences and curriculum that support prospective teachers' quantitative reasoning and produce shifts in their knowledge.

**North Carolina State University (NCSU), The University of Texas at Austin**

*07/01/2014*

This project is studying and supporting the development of conceptual understanding of fractions by students with learning disabilities (LD). Rather than focusing on whether students can or cannot develop conceptual understanding, the project is focused on uncovering the complex understanding students DO have.

**Marquette University**

*07/15/2014*

This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program?

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

*03/01/2013*

The main goal of this mathematics education research project is to determine through experimentation specific teaching strategies that can be used to support middle school students in drawing connections between mathematical representations (fractions and ratios). The potential instructional strategies were identified from the Third International Mathematics and Science Study (TIMSS) video analyses study as the ones that best distinguished high performing countries from low performing countries.

**Purdue University**

*05/15/2014*

Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The purpose of this CAREER project is to identify language factors and instructional sequences that contribute to improving elementary students' understanding of addition and subtraction problems involving negative integers.

**University of Delaware (UD)**

*07/15/2015*

This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own.

**University of Michigan (UM), University of Denver (DU)**

*09/01/2011*

This project designs materials and an accompanying support system to enable the development of expertise in the teaching of mathematics at the elementary level. The project has four main components: online professional development modules; practice-based assessments; resources for facilitators; and web-based technologies to deliver module content to diverse settings. Three modules are being developed and focus on fractions, reasoning and explanation, and geometry. Each module is organized into ten 1.5 hour sessions.

**University of Missouri, Columbia**

*08/01/2017*

This study can provide a basis for design research focused on developing effective materials and programs for flipped instruction in secondary mathematics, which is already occurring at an increasing rate, but it is not yet informed by empirical evidence. This project will result in a framework for flipped instruction robust enough to be useful at a variety of grade levels and contexts. The framework will provide a better understanding of the relationships among various implementations of flipped instruction and student learning.

**University of Florida (UF)**

*08/15/2017*

The project will provide the opportunity for upper elementary students to learn computer science and build strong collaboration practices. Leveraging the promise of virtual learning companions, the project will collect datasets of collaborative learning for computer science in diverse upper elementary school classrooms; design, develop, and iteratively refine its intelligent virtual learning companions; and generate research findings and evidence about how children collaborate in computer science learning and how best to support their collaboration with intelligent virtual learning companions.

**North Carolina State University (NCSU)**

*08/15/2017*

The project will provide the opportunity for upper elementary students to learn computer science and build strong collaboration practices. Leveraging the promise of virtual learning companions, the project will collect datasets of collaborative learning for computer science in diverse upper elementary school classrooms; design, develop, and iteratively refine its intelligent virtual learning companions; and generate research findings and evidence about how children collaborate in computer science learning and how best to support their collaboration with intelligent virtual learning companions.

**Utah State University (USU)**

*07/01/2013*

This project uses learning analytics and educational data mining methods to examine how elementary students learn in an online game designed to teach fractions using the splitting model. The project uses data to examine the following questions: 1) Is splitting an effective way to learn fractions?; 2) How do students learn by splitting?; 3) Are there common pathways students follow as they learn by splitting?; and 4) Are there optimal pathways for diverse learners?

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

*10/01/2013*

The overarching goal of this project is to develop innovative instructional resources and professional development to support middle grades teachers in meeting the challenges set by college- and career-ready standards for students' learning of algebra.

**University of Michigan - Ann Arbor**

*06/15/2014*

The overarching goal of this RAPID project is to contribute to the national goal of improving students' mathematical proficiency by providing information and guidance to mathematics education practitioners and scholars to support a sharpened focus on formative assessment. The project produces, analyzes, and makes available to the field timely information regarding the views and practices of mathematics teacher educators and professional development specialists regarding formative assessment early in the enactment of ambitious standards in mathematics.

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

*10/01/2016*

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

**Vanderbilt University**

*10/01/2016*

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

**University of Washington (UW)**

*10/01/2016*

The goal of this project is to improve the implementation of rigorous instructional materials in middle-grades mathematics at scale through a system of practical measures and routines for collecting and using data that both assesses and supports implementation.

**University of California, Riverside**

*10/01/2016*

**American Institutes for Research (AIR)**

*08/01/2014*

Students who fail algebra in the ninth grade are significantly less likely than their peers to graduate from high school on time. This project intends to test a common support strategy for at-risk students that provides an extra period of algebra, commonly known as a "double dose" condition. The Intensified Algebra (IA) is an intervention that addresses both the academic and non-academic needs of students.

**Hunter College, CUNY**

*07/01/2018*

This project will study the design and development of PD that supports teacher development and student learning, and provide accumulation of evidence to inform teacher educators, administrators, teachers, and policymakers of factors associated with successful PD experiences and variation across teachers and types of PDs. The study will examine teachers' uptake of mathematics content, pedagogy and materials from different types of professional development in order to understand and unpack the factors that are associated with what teachers take up and use two-three years beyond their original PD experience.

**University of Idaho (UI)**

*10/01/2013*

This project tests and refines a hypothetical learning trajectory and corresponding assessments, based on the collective work of 50 years of research in mathematics education and psychology, for improving students' ability to reason, prove, and argue mathematically in the context of algebra. The study produces an evidence-based learning trajectory and appropriate instruments for assessing it.

**University of Maryland, College Park (UMCP)**

*10/01/2012*

Researchers, at the University of Houston, are designing, implementing and studying a curriculum that prepares preservice, elementary teachers for equitable teaching of mathematics. The program increases the mathematical knowledge of preservice teachers and helps them recognize and implement equitable instruction. The preservice teachers are learning to recognize equitable practices by using the Mathematical Quality and Equity Observation Protocol (MQE) to assess teaching as viewed in video cases.

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

*07/01/2017*

The goal of this project will be to provide the field with a cost-effective model for intense content-based professional development in ways that have not been possible before, except through costly face-to-face models, by creating and testing design principles for blended online courses. Team members will design, implement, and research the effects of a professional development immersion experience in mathematics for practicing secondary teachers (grades 7-12).

**Horizon Research, Inc.**

*07/01/2017*

The goal of this project will be to provide the field with a cost-effective model for intense content-based professional development in ways that have not been possible before, except through costly face-to-face models, by creating and testing design principles for blended online courses. Team members will design, implement, and research the effects of a professional development immersion experience in mathematics for practicing secondary teachers (grades 7-12).

### Preparing Urban Middle Grades Mathematics Teachers to Teach Argumentation Throughout the School Year

**SRI International**

*06/15/2014*

The objective of this project is to develop a toolkit of resources and practices that will help inservice middle grades mathematics teachers support mathematical argumentation throughout the school year. A coherent, portable, two-year-long professional development program on mathematical argumentation has the potential to increase access to mathematical argumentation for students nationwide and, in particular, to address the needs of teachers and students in urban areas.

**University of Massachusetts, Dartmouth (UMass Dartmouth)**

*09/01/2016*

This project focuses on the creation of the initial functionality for a dynamic microworld, Proportions Playground, designed to support teachers in developing a coherent understanding of proportional reasoning. The Proportions Playground project seeks to both develop a unique pilot software application for the iPad and explore how it supports teachers in developing a coherent, robust definition of proportions.

**San Diego State University Research Foundation (SDSU Research Foundation)**

*09/01/2014*

Despite the tremendous growth in the availability of mathematics videos online, little research has investigated student learning from them. The goal of this exploratory project is to create, investigate, and provide evidence of promise for a model of online videos that embodies a more expansive vision of both the nature of the content and the pedagogical approach than is currently represented in YouTube-style lessons.

**Stanford University**

*01/01/2015*

This project will work with middle school mathematics teachers in San Francisco Unified School District to develop their capacity to conduct professional development for the teachers in their schools. A central goal of this project is to develop models and resources for effective professional development and preparation of professional development leaders in mathematics with special attention to students who are English language learners.

**Stanford University**

*07/01/2014*

This study examines non-cognitive factors, mindsets, cognitive factors, and strategies for learning mathematics, in the context of a MOOC combined with classroom instruction for middle grades students in mathematics. No previous mindset study has researched the impact of mindset messages within mathematics, and the proposed study will add important knowledge to this field.

**Harvard University**

*01/01/2010*

This project is examining the relationship between specific technology-based motivational activities and grade 5 to 9 student interest in STEM careers through a variety of classroom-based experiences. The project will test a series of specific hypotheses relating motivation, self-efficacy, STEM career interest, and mathematics learning to activity assignment.

**Vanderbilt University**

*09/15/2016*

This project will explore the potential of video-based formative feedback to enhance professional development around ambitious instruction for secondary teachers in urban schools.

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

*10/01/2016*

The project will research the implementation of Transition to Algebra, a year-long mathematics course for underprepared ninth grade students taken concurrently with Algebra 1 to provide additional support, and its impact on students' attitudes and achievement in mathematics in combination with teachers' instruction and the types of supports teachers need to successfully implement the intervention.

**University of Rochester (U of R)**

*09/01/2016*

This project will develop and implement an innovative online mathematics professional development model designed to provide growth opportunities for teachers in rural districts who normally lack access to such opportunities. The project will focus on developing teacher capacity to enact ambitious, responsive instruction aligned with the Common Core State Standards for Mathematics (CCSSM), and thus will be sustained, interactive, and of sufficient duration to help teachers transform their practices.

**University of Pennsylvania (Penn)**

*09/15/2016*

This project builds on the study of the Ongoing Assessment Project's (OGAP) math assessment intervention on elementary teachers and students and combines the intervention with research-based understandings of systemic reform. This project will produce concrete tools, routines, and practices that can be applied to strengthen programs' implementation by ensuring the strategic support of school and district leaders.

**New York University (NYU)**

*09/01/2007*

This study explores the ways middle school mathematics teachers implement standards-based curriculum materials in urban schools. It takes the view that instructional materials are cultural tools and examines how teachers use these tools to plan and implement the curriculum in their classrooms. The study is using a mixed methods approach that combines surveys of teachers in 30 schools in the Newark Public Schools district and closer observations of teachers in selected case schools.

**Measured Progress**

*08/01/2013*

This project contributes to the small research base by exploring the validity of Technology-Enhanced Items (TEIs) in the context of elementary geometry. The project addresses three research questions: 1) To what extent are TEIs a valid measurement of geometry standards in the elementary grades?; 2) To what extent do TEIs provide an improved measurement compared to SR items?; and 3) What are the general characteristics of mathematics standards that might be better measured through TEIs?

**Strategic Education Research Partnership Institute**

*07/01/2015*

Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional learning opportunities for teachers that support those changes. The project is based on the TRUmath framework and will build a coherent and scalable plan for providing these opportunities in high school mathematics departments, a traditionally difficult unit of organizational change.

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

*07/01/2015*

Given the changes in instructional practices needed to support high quality mathematics teaching and learning based on college and career readiness standards, school districts need to provide professional learning opportunities for teachers that support those changes. The project is based on the TRUmath framework and will build a coherent and scalable plan for providing these opportunities in high school mathematics departments, a traditionally difficult unit of organizational change.

**WestEd**

*10/01/2013*

This project that creates a set of materials for middle grades students and teacher professional development that would support the learning of early algebra. Building on their prior work with an elementary version, the efficacy study focuses on the implementation of the principals underlying the materials, fidelity of use of the materials, and impact on students' learning.

**University of Pennsylvania (Penn)**

*01/01/2014*

This project provides professional development and support for teachers of mathematics in Grades 3-5 and assesses the impacts of the project through a rigorous cluster randomized control trial. The project supports teachers to provide instruction that helps all students reach ambitious academic goals in mathematics.