Mathematics

Strengthening STEM Teaching in Native American Serving Schools through Long-Term, Culturally Responsive Professional Development

This project will explore how a nationally implemented professional development model is applied in two distinct Indigenous communities, the impact the model has on teacher practice in Native-serving classrooms, and the model's capacity to promote the integration of culturally responsive approaches to STEM teaching.

Project Email: 
Lead Organization(s): 
Award Number: 
1908464
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

Although there is a long-established body of knowledge about effective professional development for STEM teachers, very little of it has been applied and studied with teachers in Native American-serving school districts. This project will explore how a nationally implemented professional development model is applied in two distinct Indigenous communities, the impact the model has on teacher practice in Native-serving classrooms, and the model's capacity to promote the integration of culturally responsive approaches to STEM teaching. This project will substantially grow the data and knowledge available within this unique context, which is critical given the persistent gaps in educational achievement and STEM career participation among Indigenous people in the U.S. K-12 teachers will participate in an 8-month cohort designed to increase their STEM content knowledge and facilitate their efforts to develop academically rigorous, culturally responsive STEM instructional units for use in their classrooms. The project will add to our knowledge about the transferability of a nationally-implemented professional development model within two specific Indigenous contexts, and it will grow our knowledge about how STEM professional development impacts teacher practice. Finally, the project will provide concrete examples and knowledge about the ways culturally responsive approaches to STEM professional development, curriculum development, and teacher practice are taken up in two distinct Native-student-serving contexts.

This project includes the development and implementation of professional development that is long-term, teacher-driven, collaborative across grade levels and content areas, and facilitated by university faculty with STEM expertise. The research will follow a collective case study methodology in order to establish a robust and nuanced understanding of (1) how a national professional development model operates within two specific and distinct Indigenous contexts; (2) how a professional development model impacts teachers' STEM instructional practice in Native-serving schools; and (3) how teachers in Native-serving schools engage culturally responsive approaches to STEM curriculum development and STEM instructional practice. Data will include interviews and focus groups with participating teachers, university faculty, and other stakeholders, classroom observations and "Scoop Notebook" artifacts of teacher practice, and the teacher-developed STEM instructional units. Data will be iteratively coded with a combination of open and focused coding using a constant comparative method with a specific emphasis on identifying the culturally responsive elements present across the data sources. Individual and cross-case comparisons will be conducted to reveal broader themes that address the research questions. Results and products will be disseminated to researchers, practitioners, and community members through peer-reviewed publications, conference presentations, annual partnership meetings, and posting of the teacher developed instructional units to a web-based, freely accessible clearing house.

Third National Conference on Doctoral Programs in Mathematics Education

Award Number: 
1932697
Funding Period: 
Thu, 08/01/2019 to Sat, 07/31/2021
Full Description: 

The Third National Conference on Doctoral Programs in Mathematics Education will bring together a group of faculty members in mathematics education from a range of institutions that currently graduate doctorates in mathematics education. The conference participants will learn about current issues that impact doctoral programs and they will have the opportunity to leverage common strengths to make improvements to their individual programs. The conference will focus on two goals: (1) articulate and update principles related to high-quality doctoral programs in mathematics education; and (2) identify and disseminate information about specific doctoral programs specializations in mathematics education. The conference will share the products with a range of audiences in mathematics, mathematics education, teacher education, and educational research.

The products for the conference include: (1) an updated Principles to Guide the Design and Implementation of Doctoral Programs in Mathematics Education document which will be available in the website of pertinent professional associations; and (2) a mechanism for institutions and future doctoral students to search and connect with different program specializations. The project will organize more than 100 participants in working groups around the two goals during the conference. The working groups will have the opportunity to continue the work in subsequent meetings to collaborate on the products.

Developing Leaders, Transforming Practice in K-5 Mathematics: An Examination of Models for Elementary Mathematics Specialists (Collaborative Research: Lewis)

This project will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement.

Lead Organization(s): 
Award Number: 
1906588
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

Minimal rigorous research has been conducted on the effect of various supports for quality mathematics instruction and providing guidance on the development and use of Elementary Mathematics Specialists (EMSs) on student achievement. Portland Public Schools (PPS), Portland State University, and RMC Research Corporation will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement. The project team will evaluate the efficacy and use of EMSs by testing four implementation models that consider the various ways EMSs are integrated into schools. DLTP builds on EMS research, investigating EMSs both as elementary mathematics teachers and coaches by articulating four models and examining their efficacy for both student and teacher learning. This study has the potential to provide benefits both within and beyond PPS as it informs the preparation and use of EMSs. Determining which model is best in certain contexts provides a focus for the expansion of mathematics support.

DLTP enhances the research base by examining the effect of teacher PD on student achievement through a rigorous quasi-experimental design. The project goals will be met by addressing 4 research questions: 1) What is the effect of the intervention on teacher leadership?; 2) What is the effect of the intervention on teachers' use of research-based instructional practices?; 3) What is the effect of the intervention on a school's ability to sustain ongoing professional learning for teachers?; and 4) What is the effect of the intervention on student mathematics achievement? Twelve elementary schools in PPS will select elementary teachers to participate in the DLTP and adopt an implementation model that ranges from direct to diffuse engagement with students: elementary mathematics teacher, grade level coach, grade-level and building-level coach, or building-level coach. The research team will conduct 4 major studies that include rigorous quasi-experimental designs and a multi-method approach to address the research questions: leadership study, instructional practices study, school study, and student achievement study. Several tools will be created by the project - a leadership rubric designed to measure changes in EMS mathematics leadership because of the project and a 5-part teacher survey designed capture EMS leadership skills, pedagogical content knowledge, use of research-based practices, and school climate for mathematics learning as well as implementation issues.

Developing Leaders, Transforming Practice in K-5 Mathematics: An Examination of Models for Elementary Mathematics Specialists Collaborative Research: Davis)

This project will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement.

Lead Organization(s): 
Award Number: 
1906565
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

Minimal rigorous research has been conducted on the effect of various supports for quality mathematics instruction and providing guidance on the development and use of Elementary Mathematics Specialists (EMSs) on student achievement. Portland Public Schools (PPS), Portland State University, and RMC Research Corporation will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement. The project team will evaluate the efficacy and use of EMSs by testing four implementation models that consider the various ways EMSs are integrated into schools. DLTP builds on EMS research, investigating EMSs both as elementary mathematics teachers and coaches by articulating four models and examining their efficacy for both student and teacher learning. This study has the potential to provide benefits both within and beyond PPS as it informs the preparation and use of EMSs. Determining which model is best in certain contexts provides a focus for the expansion of mathematics support.

DLTP enhances the research base by examining the effect of teacher PD on student achievement through a rigorous quasi-experimental design. The project goals will be met by addressing 4 research questions: 1) What is the effect of the intervention on teacher leadership?; 2) What is the effect of the intervention on teachers' use of research-based instructional practices?; 3) What is the effect of the intervention on a school's ability to sustain ongoing professional learning for teachers?; and 4) What is the effect of the intervention on student mathematics achievement? Twelve elementary schools in PPS will select elementary teachers to participate in the DLTP and adopt an implementation model that ranges from direct to diffuse engagement with students: elementary mathematics teacher, grade level coach, grade-level and building-level coach, or building-level coach. The research team will conduct 4 major studies that include rigorous quasi-experimental designs and a multi-method approach to address the research questions: leadership study, instructional practices study, school study, and student achievement study. Several tools will be created by the project - a leadership rubric designed to measure changes in EMS mathematics leadership because of the project and a 5-part teacher survey designed capture EMS leadership skills, pedagogical content knowledge, use of research-based practices, and school climate for mathematics learning as well as implementation issues.

Developing Leaders, Transforming Practice in K-5 Mathematics: An Examination of Models for Elementary Mathematics Specialists Collaborative Research: Rigelman)

This project will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to develop teacher leaders, improve teachers' instructional practices, and increase student mathematics understanding and achievement.

Lead Organization(s): 
Award Number: 
1906682
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Project Evaluator: 
RMC Research
Full Description: 

Minimal rigorous research has been conducted on the effect of various supports for quality mathematics instruction and providing guidance on the development and use of Elementary Mathematics Specialists (EMSs) on student achievement. Portland Public Schools (PPS), Portland State University, and RMC Research Corporation will study the Developing Leaders Transforming Practice (DLTP) intervention, which aims to improve teachers' instructional practices, increase student mathematics understanding and achievement. The project team will evaluate the efficacy and use of EMSs by testing four implementation models that consider the various ways EMSs are integrated into schools. DLTP builds on EMS research, investigating EMSs both as elementary mathematics teachers and coaches by articulating four models and examining their efficacy for both student and teacher learning. This study has the potential to provide benefits both within and beyond PPS as it informs the preparation and use of EMSs. Determining which model is best in certain contexts provides a focus for the expansion of mathematics support.

DLTP enhances the research base by examining the effect of teacher PD on student achievement through a rigorous quasi-experimental design. The project goals will be met by addressing 4 research questions: 1) What is the effect of the intervention on teacher leadership?; 2) What is the effect of the intervention on teachers' use of research-based instructional practices?; 3) What is the effect of the intervention on a school's ability to sustain ongoing professional learning for teachers?; and 4) What is the effect of the intervention on student mathematics achievement? Twelve elementary schools in PPS will select elementary teachers to participate in the DLTP and adopt an implementation model that ranges from direct to diffuse engagement with students: elementary mathematics teacher, grade level coach, grade-level and building-level coach, or building-level coach. The research team will conduct 4 major studies that include rigorous quasi-experimental designs and a multi-method approach to address the research questions: leadership study, instructional practices study, school study, and student achievement study. Several tools will be created by the project - a leadership rubric designed to measure changes in EMS mathematics leadership because of the project and a 5-part teacher survey designed capture EMS leadership skills, pedagogical content knowledge, use of research-based practices, and school climate for mathematics learning as well as implementation issues.

Validation of the Equity and Access Rubrics for Mathematics Instruction (VEAR-MI)

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.

Award Number: 
1908481
Funding Period: 
Mon, 07/15/2019 to Fri, 06/30/2023
Full Description: 

High-quality mathematics instruction remains uncommon and opportunities for students to develop the mathematical understanding are not distributed equally. This is particularly true for students of color and students for whom English is not their first language. While educational research has made progress in identifying practices that are considered high-quality, little attention has been given to specific instructional practices that support historically marginalized groups of students particularly as they participate in more rigorous mathematics. The main goal 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. In addition, 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.

This project will make use of two existing large-scale datasets focusing on mathematics teachers to develop rubrics on mathematics instructional quality. The datasets include nearly 3,000 video-recorded mathematics lessons and student achievement records from students in Grades 3 through 8. The four phases of this research and development project include training material development, an observation and rubric generalizability study, a coder reliability study, and structural analysis. Data analysis plans involve case studies, exploratory and confirmatory factor analyses, and cognitive interviews. 

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

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.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1920621
Funding Period: 
Thu, 08/01/2019 to Wed, 07/31/2024
Full Description: 

As education has shifted more towards data-driven policy and research initiatives in the last several decades, data for policy-related aspects are often expected to be more quantitative in nature.  This has led to the increase in use of more quantitative measures in STEM education, including mathematics education. Unfortunately, evidence regarding the validity and reliability of mathematics education measures is lacking. Furthermore, the evidence for validity for quantitative tools and measures is not conceptualized or defined consistently by researchers in the field. 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. Drawing on the results of the synthesis study, the researchers will design, curate, and disseminate a repository of quantitative assessments used in mathematics education teaching and research. The researchers will also create materials and online training for a variety of scholars and practitioners to use the repository.

The team will address two main research questions: 1) How might validity evidence related to quantitative assessments used in mathematics education research be categorized and described? and 2) What validity evidence exists for quantitative instruments used in mathematics education scholarship since 2000? Researchers will use a cross-comparative methodology which involves conducting a literature search and then analyzing and categorizing features of instruments. The research team will examine cases (i.e., assessments described in manuscripts) in which quantitative instruments have been used, alongside specific features such as the construct measured, evidence related to sources of validity, and study sample. The team will then design, develop, and deploy a free online digital repository for the categorization of instruments and describe their associated validity evidence.

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

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.

Partner Organization(s): 
Award Number: 
1920619
Funding Period: 
Thu, 08/01/2019 to Wed, 07/31/2024
Full Description: 

As education has shifted more towards data-driven policy and research initiatives in the last several decades, data for policy-related aspects are often expected to be more quantitative in nature.  This has led to the increase in use of more quantitative measures in STEM education, including mathematics education. Unfortunately, evidence regarding the validity and reliability of mathematics education measures is lacking. Furthermore, the evidence for validity for quantitative tools and measures is not conceptualized or defined consistently by researchers in the field. 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. Drawing on the results of the synthesis study, the researchers will design, curate, and disseminate a repository of quantitative assessments used in mathematics education teaching and research. The researchers will also create materials and online training for a variety of scholars and practitioners to use the repository.

The team will address two main research questions: 1) How might validity evidence related to quantitative assessments used in mathematics education research be categorized and described? and 2) What validity evidence exists for quantitative instruments used in mathematics education scholarship since 2000? Researchers will use a cross-comparative methodology which involves conducting a literature search and then analyzing and categorizing features of instruments. The research team will examine cases (i.e., assessments described in manuscripts) in which quantitative instruments have been used, alongside specific features such as the construct measured, evidence related to sources of validity, and study sample. The team will then design, develop, and deploy a free online digital repository for the categorization of instruments and describe their associated validity evidence.

Developing and Investigating Unscripted Mathematics Videos

This project will use an alternative model for online videos to develop video units that feature the unscripted dialogue of pairs of students. The project team will create a repository of 6 dialogic mathematics video units that target important Algebra 1 and 2 topics for high school and upper middle school students, though the approach can be applied to any STEM topic, for any age level.

Lead Organization(s): 
Award Number: 
1907782
Funding Period: 
Sun, 09/01/2019 to Thu, 08/31/2023
Full Description: 

This project responds to the recent internet phenomenon of widespread accessibility to online instructional videos, which offer many benefits, such as student control of the pace of learning. However, these videos primarily focus on a single speaker working through procedural problems and providing an explanation. While the immense reach of free online instructional videos is potentially transformative, this potential can only be attained if access transcends physical availability to also include entry into important disciplinary understandings and practices, and only if the instructional method pushes past what would be considered outdated pedagogy in any other setting than a digital one. This project will use an alternative model for online videos, originally developed for a previous exploratory project, to develop 6 video units that feature the unscripted dialogue of pairs of students. The project team will use the filming and post-production processes established during the previous grant to create a repository of 6 dialogic mathematics video units that target important Algebra 1 and 2 topics for high school and upper middle school students, though the approach can be applied to any STEM topic, for any age level. They will also conduct 8 research studies to investigate the promise of these unscripted dialogic videos with a diverse population to better understand the vicarious learning process, which refers to learning from video- or audio-taped presentations of other people learning. Additionally, the project team will provide broader access to the project videos and support a variety of users, by: (a) subtitling the videos and checking math task statements for linguistic accessibility; (b) representing diversity of race, ethnicity, and language in both the pool of students who appear in the videos and the research study participants; (c) providing teachers with an array of resources including focus questions to pose in class with each video, printable task worksheets, specific ways to support dialogue about the videos, and alignment of the video content with Common Core mathematics standards and practices; and (d) modernizing the project website and making it functional across a variety of platforms.

The videos created for this project will feature pairs of students (called the talent), highlighting their unscripted dialogue, authentic confusion, and conceptual resources. Each video unit will consist of 7 video lessons (each split into 4-5 short video episodes) meant to be viewed in succession to support conceptual development over time. The project will build upon emerging evidence from the exploratory grant that as students engage with videos that feature peers grappling with complex mathematics, they can enter a quasi-collaborative relationship with the on-screen talent to learn complex conceptual content and engage in authentic mathematical practices. The research focuses on the questions: 1. What can diverse populations of vicarious learners learn mathematically from dialogic videos, and how do the vicarious learners orient to the talent in the videos? 2. What is the nature of vicarious learners' evolving ways of reasoning as they engage with multiple dialogic video lessons over time and what processes are involved in vicarious learning? and, 3. What instructional practices encourage a classroom community to adopt productive ways of reasoning from dialogic videos? To address the first question, the project team will conduct two Learning Outcomes and Orientation Studies, in which they analyze students' learning outcomes and survey responses after they have learned from one of the video units in a classroom setting. Before administering an assessment to a classroom of students, they will first conduct an exploratory Interpretation Study for each unit, in which they link the mathematical interpretations that VLs generate from viewing the project videos with their performance on an assessment instrument. Both types of studies will be conducted twice, once for each of two video units - Exponential Functions and Meaning and Use of Algebraic Symbols. For the second research question, the project team will identify a learning trajectory associated with each of four video units. These two learning trajectories will inform the instructional planning for the classroom studies by identifying what meaningful appropriation can occur, as well as conceptual challenges for VLs. By delivering learning trajectories for two additional units, the project can contribute to vicarious learning theory by identifying commonalities in learning processes evident across the four studies. For the final research question, the project team will investigate how instructors can support students with the instrumental genesis process, which occurs through a process called instrumental orchestration, as they teach the two videos on exponential functions and algebraic symbols.

Strengthening Middle School Mathematical Argumentation through Teacher Coaching: Bridging from Professional Development to Classroom Practice

This project is a professional learning experience for middle school teachers to support them in developing five mathematical practices in their teaching focused on mathematical argumentation - creating mathematical arguments, using appropriate tools strategically, looking for and make use of structure, attending to precision, and looking for and express regularity in repeated reasoning.

Lead Organization(s): 
Award Number: 
1907561
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

The Bridging Professional Development project is a professional learning experience for middle school teachers to support them in developing five mathematical practices in their teaching focused on mathematical argumentation. These practices are: create mathematical arguments, use appropriate tools strategically, look for and make use of structure, attend to precision, and look for and express regularity in repeated reasoning. Mathematics argumentation is an important component of complex problem solving and supporting students in understanding the why, not just the how, of mathematics. The professional development intervention consists of summer workshop focused on approximations of teaching practice, and coaching during the school year. The coaching component includes face-to-face coaching and a video-based tool that allows teachers and coaches to engage with records of classroom interactions. The project expands the successful Bridging professional development work by adding four additional mathematical practices that relate to argumentation, adding the coaching component, collecting data on students' equitable participation in classroom discussions, and piloting an impact study to determine whether the professional development that includes coaching leads to improved mathematics teaching and learning, and the mechanisms by which that hypothesized improvement occurs.

The Bridging series of professional development projects are built on a theoretical framework that begins with providing teachers with opportunities to engage in meaningful mathematics teaching practices, identify teaching moves that would support students in learning those practices, and to try out those moves with other teachers in approximations of teaching practice. The outcomes of such activity are increased teacher knowledge that can be mobilized in the planning and enactment of lessons, and improved pedagogical moves in the classroom. This in turn is likely to lead to increased student engagement and mathematics achievement. In this award, Bridging adds cycles of coaching to support teachers in translating lessons learned from approximations of practice to the work in their classrooms with students, and to provide ongoing school-year support for implementation. The research components of the project focus on understanding the practice of the coaches, including the design and deployment of coaching training and coaching sessions, as it relates to teachers' abilities to foster stronger student engagement in mathematical practices. The project will recruit 25 teachers at middle schools with experienced mathematics coaches to participate, with teachers directed to select a single focus class for data collection. Case studies will be pursued with six teachers and three coaches that represent diverse backgrounds, experiences, and levels of prior knowledge. Video records of coaching training and sessions will be collected and analyzed, along with lessons plans and teacher-enacted lessons, to determine the influence of the coaching on practice. The study will also investigate the ways in which teacher engagement in the professional developments leads to changes in teacher practice and student outcomes. Video records of practice, written lesson plans, student work, and interviews will be collected and analyzed to determine the impact on teaching practice. Teachers' mathematical knowledge for teaching will also be assessed at key points in the project to assess teacher learning, and student standardized assessment scores and performance assessment outcomes will be collected to assess student learning.

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