Mathematics

Building Students' Data Literacy through the Co-design of Curriculum by Mathematics and Art Teachers (Collaborative Research: Silander)

The aim of this project is to enact and study a process in which middle school teachers of mathematics and visual arts co-design and teach activities that combine math and art to teach data science.

Award Number: 
1908030
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Full Description: 

The aim of this project is to enact and study a process in which middle school teachers of mathematics and visual arts co-design and teach activities that combine math and art to teach data science. Many existing efforts to promote data literacy are grounded in mathematical concepts of central tendency and variation, and typically are narrowly focused in single subject domains. Taking an art-based perspective on data science has the potential to promote student relevance, accessibility, engagement, reasoning, and meaning-making with data science. Moreover, visualization technology has advanced to a degree that the relation between the information in data and visual aesthetic can be leveraged easily. To explore the opportunity this offers, research on this project will examine how to equip teachers to develop such interdisciplinary pedagogical approaches to cultivate their students' data literacy. This exploratory project will provide support for 12 teachers during summer workshops and during the school year as these teachers implement their co-designed units in their classrooms. The work addresses the following questions: (1) How do we support effective co-design of data literacy units among art teachers, mathematics teachers, and researchers? (2) How are teachers able to use the unit materials in their classrooms to engage students in data literacy? And (3) How does an art-based approach support students' data literacy? Answers to these questions will build an understanding of how to support interdisciplinary curriculum design collaborations among researchers and teachers. They will also show how art-integrated, maker-oriented activities can support middle school learners' data literacy development; and how to design technologies that are accessible and powerful to teachers and learners in these interdisciplinary environments.

Through summer workshops and year-round design collaborations, the project will iteratively design, test and refine four units for middle school classrooms, including activities, tools, and assessments, to promote students' data literacy. Data will be collected from co-design sessions as well as classroom-enactments, and will include observations, video/audio recordings, student- and teacher-generated artifacts, and pre and post assessments of students' knowledge and self-efficacy. Mixed methods analyses of these data, and syntheses of findings across participants, classroom enactments, and project years, will explore effective ways to support co-design among art teachers, mathematics teachers, and researchers; and the impact of art-integrated activities on students' data literacy. This project will reach 12 teachers and their students across 6 New York city schools. By building capacity and knowledge about how to initiate and sustain teachers' interdisciplinary curriculum collaborations, the project will have broader impact. Refined project materials, including pedagogical approaches, toolkits and adaptable classroom activities, will be disseminated to facilitate classroom adoption by other educators who wish to undertake similar art-integrated data literacy curriculum design collaborations, and will thus ultimately broaden participation in data science among diverse youth within and beyond New York City.

Young Mathematicians: Expanding an Innovative and Promising Model Across Learning Environments to Promote Preschoolers' Mathematics Knowledge

The goal of this design and development project is to address the critical need for innovative resources that transform the mathematics learning environments of preschool children from under-resourced communities by creating a cross-context school-home intervention.

Award Number: 
1907904
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

Far too many children in the U.S. start kindergarten lacking the foundational early numeracy skills needed for academic success. This project contributes to the goal of enhancing the learning and teaching of early mathematics in order to build a STEM-capable workforce and STEM-literate citizenry, which are both crucial to our nation's prosperity and competitiveness. Preparation for the STEM-workforce must start early, as young children's mathematics development undergirds cognitive development, building brain architecture, and supporting problem-solving, puzzling, and persevering, while strongly impacting and predicting future success in school. Preschool children from low socio-economic backgrounds are particularly at risk, as their mathematics knowledge may be up to a full year behind their middle-income peers. Despite agreements about the importance of mathematics-rich interactions for young children's learning and development, most early education teachers and families are not trained in evidence-based methods that can facilitate these experiences, making preschool learning environments (such as school and home) a critical target for intervention. The benefit of this project is that it will develop a robust model for a school-based intervention in early mathematics instruction. The model has the potential to broaden participation by providing instructional materials that support adult-child interaction and engagement in mathematics, explicitly promoting school-home connections in mathematics, and addressing educators' and families' attitudes toward mathematics while promoting children's mathematical knowledge and narrowing opportunity gaps.

The goal of this design and development project is to address the critical need for innovative resources that transform the mathematics learning environments of preschool children from under-resourced communities by creating a cross-context school-home intervention. To achieve this goal, qualitative and quantitative research methodologies will be employed, integrating data from multiple sources and stakeholders. Specifically, the project will: (1) engage in a materials design and development process that includes an iterative cycle of design, development, and implementation, collaborating with practitioners and families in real-world settings; (2) collect and analyze data from at least 40 Head Start classrooms, implementing the mathematics materials to ensure that the classroom and family mathematics materials and resources are engaging, usable, and comprehensible to preschoolers, teachers, and families; and (3) conduct an experimental study that will measure the impact of the intervention on preschool children's mathematics learning. The researchers will analyze collected data using hierarchical linear regression modeling to account for the clustering of children within classrooms. The researchers will also use a series of regression models and multi-level models to determine whether the intervention promotes student outcomes and whether it supports teachers' and families' positive attitudes toward mathematics.

Improving Grades 6-8 Students' Mathematics Achievement in Modeling and Problem Solving through Effective Sequencing of Instructional Practices

This project will provide structured and meaningful scaffolds for teachers in examining two research-based teaching strategies hypothesized to positively impact mathematics achievement in the areas of mathematical modeling and problem solving. The project investigates whether the order in which teachers apply these practices within the teaching of mathematics content has an impact on student learning.

Project Email: 
Lead Organization(s): 
Award Number: 
1907840
Funding Period: 
Mon, 07/01/2019 to Fri, 06/30/2023
Full Description: 

The Researching Order of Teaching project will provide structured and meaningful scaffolds for teachers in examining two research-based teaching strategies hypothesized to positively impact mathematics achievement in the areas of mathematical modeling and problem solving. The first strategy, Explicit Attention to Concepts (EAC), is a set of practices that draw students' attention specifically to mathematical concepts in ways that extend beyond memorization, procedures, or application of skills. This strategy may include teachers asking students to connect multiple mathematical representations, compare solution strategies, discuss mathematical reasoning underlying procedures, or to identify a main mathematical idea in a lesson and how it fits into the broader mathematical landscape. The second strategy, Student Opportunities to Struggle (SOS), entails providing students with time and space to make sense of graspable content, overcoming confusion points, stimulating personal sense-making, building perseverance, and promoting openness to challenge. This strategy may include teachers assigning problems with multiple solution strategies, asking students to look for patterns and make conjectures, encouraging and promoting discourse around confusing or challenging ideas, and asking students for extended mathematical responses. This project investigates whether the order in which teachers apply these practices within the teaching of mathematics content has an impact on student learning. This study builds on previous work that had identified an interaction between the EAC and SOS instructional strategies, and associated teacher reporting of stronger use of the practices with higher student mathematics achievement.

The project will have four key design features. First, the project will adopt and extend the research-based EAC/SOS conceptual framework, and explicitly responds to the call for further research on the interactions. Second, the project will focus on the mathematical areas of modeling and problem solving, two complex and critical competencies for all students in the middle grades. Third, the project will position teachers as collaborators in the research with needed expertise. Finally, the project will make use of research methods from crossover clinical trials to implementation in classrooms. The project aims to identify the affordances and constraints of the EAC/SOS framework in the design and development of instructional practices, to identify student- and teacher-level factors associated with changes in modeling and problem solving outcomes, to analyze teachers' implementations EAC and SOS in teaching modeling and problem solving and to associate those implementation factors with student achievement changes, and to determine whether the ordering of these two strategies correlates with differences in achievement. The project will collect classroom observation data and make use of existing tools to obtain reliable and valid ratings of the EAC and SOS strategies in action.The design of the study features a randomized 2 x 2 cluster crossover trial with a sample of teachers for 80% power. The project builds on existing state infrastructure and relationships with a wide array of school districts in the context of professional development, and aims to create a formal Teacher-Researcher Alliance for Investigating Learning as a part of the project work.

Co-developing a Curriculum Coherence Toolkit with Teachers (Collaborative Research: Drake)

This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum.

Lead Organization(s): 
Award Number: 
1908165
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Full Description: 

One important aspect of any mathematics curriculum is its coherence, or the mathematical connections across lessons. This coherence links lessons and activities so that mathematical ideas, representations, practices, skills, and ways of thinking build upon each other to help students construct mathematical meaning and enhance their learning. When teachers relied predominantly on published curriculum materials, curricular coherence was largely provided by the curriculum authors. However, many of today's teachers are no longer given a foundational textbook or single set of resources. Further, teachers have unprecedented access via the internet and social media to lessons and activities produced by many different curriculum developers (including other teachers). As a result, the important task of building curricular coherence becomes the responsibility of the classroom teacher. And yet, very little is known about how teachers think about curricular coherence or how their decisions about lessons and activities reflect the coherent mathematical story they hope to students will learn in their classrooms. This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum. A national survey of 300 Grades 3-5 teachers will be conducted in in the first phase of the project and the work will continue with small groups of four case study teachers in each of four different districts across four states. Case study participants will work with project researchers to co-develop a set of tools for supporting curriculum coherence. The structure of the project and the selection of case study participants will facilitate the collaborative co-development of tools across institutions and across geographic and curricular contexts, supporting the use of the tools across a wide range of contexts. The outcomes of this study will contribute to broader impacts by developing understandings of curriculum coherence that are robust across a range of curricular, policy, and district/school contexts, with implications that support the participation of students in diverse mathematics classrooms. The survey findings and the coherence toolkit co-developed with teachers will be disseminated widely through conference presentations, including teacher-oriented conferences, through journal publications, and through making survey data available to other researchers.

The research objectives of this study are to explore 1) patterns of Grade 3-5 teacher curricular resource use across a range of curriculum contexts, 2) teacher decisions about curriculum coherence, and 3) how curriculum toolkits co-developed with teachers might support teachers in making decisions related to curriculum coherence. Given the potential variation among and within states and districts in terms of contextual factors impacting curriculum use, teachers will be surveyed about their contexts, available resources, and curricular decision-making. Survey data will be analyzed using primarily descriptive analyses. Following the survey, in-depth case studies of teacher curricular resource use in contexts that vary along two dimensions (autonomy to select curricular resources and the complexity of curricular influences, including the number of resources available) will be developed. Case study data, including interviews, video-recorded co-design groups, and curriculum use artifacts, will be analyzed using methods of discourse analysis, thematic analysis, and document analysis and synthesized within and across cases. By selecting cases along these dimensions, a set of tools will be co-developed to support teachers as they navigate diverse curricular contexts to enact a coherent curriculum for students.

Co-developing a Curriculum Coherence Toolkit with Teachers (Collaborative Research: Wood)

This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum.

Lead Organization(s): 
Award Number: 
1907831
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Full Description: 

One important aspect of any mathematics curriculum is its coherence, or the mathematical connections across lessons. This coherence links lessons and activities so that mathematical ideas, representations, practices, skills, and ways of thinking build upon each other to help students construct mathematical meaning and enhance their learning. When teachers relied predominantly on published curriculum materials, curricular coherence was largely provided by the curriculum authors. However, many of today's teachers are no longer given a foundational textbook or single set of resources. Further, teachers have unprecedented access via the internet and social media to lessons and activities produced by many different curriculum developers (including other teachers). As a result, the important task of building curricular coherence becomes the responsibility of the classroom teacher. And yet, very little is known about how teachers think about curricular coherence or how their decisions about lessons and activities reflect the coherent mathematical story they hope to students will learn in their classrooms. This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum. A national survey of 300 Grades 3-5 teachers will be conducted in in the first phase of the project and the work will continue with small groups of four case study teachers in each of four different districts across four states. Case study participants will work with project researchers to co-develop a set of tools for supporting curriculum coherence. The structure of the project and the selection of case study participants will facilitate the collaborative co-development of tools across institutions and across geographic and curricular contexts, supporting the use of the tools across a wide range of contexts. The outcomes of this study will contribute to broader impacts by developing understandings of curriculum coherence that are robust across a range of curricular, policy, and district/school contexts, with implications that support the participation of students in diverse mathematics classrooms. The survey findings and the coherence toolkit co-developed with teachers will be disseminated widely through conference presentations, including teacher-oriented conferences, through journal publications, and through making survey data available to other researchers.

The research objectives of this study are to explore 1) patterns of Grade 3-5 teacher curricular resource use across a range of curriculum contexts, 2) teacher decisions about curriculum coherence, and 3) how curriculum toolkits co-developed with teachers might support teachers in making decisions related to curriculum coherence. Given the potential variation among and within states and districts in terms of contextual factors impacting curriculum use, teachers will be surveyed about their contexts, available resources, and curricular decision-making. Survey data will be analyzed using primarily descriptive analyses. Following the survey, in-depth case studies of teacher curricular resource use in contexts that vary along two dimensions (autonomy to select curricular resources and the complexity of curricular influences, including the number of resources available) will be developed. Case study data, including interviews, video-recorded co-design groups, and curriculum use artifacts, will be analyzed using methods of discourse analysis, thematic analysis, and document analysis and synthesized within and across cases. By selecting cases along these dimensions, a set of tools will be co-developed to support teachers as they navigate diverse curricular contexts to enact a coherent curriculum for students.

Co-developing a Curriculum Coherence Toolkit with Teachers (Collaborative Research: Newton)

This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum.

Project Email: 
Lead Organization(s): 
Award Number: 
1907808
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Project Evaluator: 
Full Description: 

One important aspect of any mathematics curriculum is its coherence, or the mathematical connections across lessons. This coherence links lessons and activities so that mathematical ideas, representations, practices, skills, and ways of thinking build upon each other to help students construct mathematical meaning and enhance their learning. When teachers relied predominantly on published curriculum materials, curricular coherence was largely provided by the curriculum authors. However, many of today's teachers are no longer given a foundational textbook or single set of resources. Further, teachers have unprecedented access via the internet and social media to lessons and activities produced by many different curriculum developers (including other teachers). As a result, the important task of building curricular coherence becomes the responsibility of the classroom teacher. And yet, very little is known about how teachers think about curricular coherence or how their decisions about lessons and activities reflect the coherent mathematical story they hope to students will learn in their classrooms. This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum. A national survey of 300 Grades 3-5 teachers will be conducted in in the first phase of the project and the work will continue with small groups of four case study teachers in each of four different districts across four states. Case study participants will work with project researchers to co-develop a set of tools for supporting curriculum coherence. The structure of the project and the selection of case study participants will facilitate the collaborative co-development of tools across institutions and across geographic and curricular contexts, supporting the use of the tools across a wide range of contexts. The outcomes of this study will contribute to broader impacts by developing understandings of curriculum coherence that are robust across a range of curricular, policy, and district/school contexts, with implications that support the participation of students in diverse mathematics classrooms. The survey findings and the coherence toolkit co-developed with teachers will be disseminated widely through conference presentations, including teacher-oriented conferences, through journal publications, and through making survey data available to other researchers.

The research objectives of this study are to explore 1) patterns of Grade 3-5 teacher curricular resource use across a range of curriculum contexts, 2) teacher decisions about curriculum coherence, and 3) how curriculum toolkits co-developed with teachers might support teachers in making decisions related to curriculum coherence. Given the potential variation among and within states and districts in terms of contextual factors impacting curriculum use, teachers will be surveyed about their contexts, available resources, and curricular decision-making. Survey data will be analyzed using primarily descriptive analyses. Following the survey, in-depth case studies of teacher curricular resource use in contexts that vary along two dimensions (autonomy to select curricular resources and the complexity of curricular influences, including the number of resources available) will be developed. Case study data, including interviews, video-recorded co-design groups, and curriculum use artifacts, will be analyzed using methods of discourse analysis, thematic analysis, and document analysis and synthesized within and across cases. By selecting cases along these dimensions, a set of tools will be co-developed to support teachers as they navigate diverse curricular contexts to enact a coherent curriculum for students.

Alternative video text
Alternative video text: 

Using Animated Contrasting Cases to Improve Procedural and Conceptual Knowledge in Geometry

This project aims to support stronger student outcomes in the teaching and learning of geometry in the middle grades through engaging students in animated contrasting cases of worked examples. The project will design a series of animated geometry curricular materials on a digital platform that ask students to compare different approaches to solving the same geometry problem. The study will measure changes in students' procedural and conceptual knowledge of geometry after engaging with the materials and will explore the ways in which teachers implement the materials in their classrooms.

Award Number: 
1907745
Funding Period: 
Thu, 08/01/2019 to Sun, 07/31/2022
Full Description: 

This project aims to support stronger student outcomes in the teaching and learning of geometry in the middle grades through engaging students in animated contrasting cases of worked examples. Animated contrasting cases are a set of two worked examples for the same geometry problem, approached in different ways. The animations show the visual moves and annotations students would make in solving the problems. Students are asked to compare and discuss the approaches. This theoretically-grounded approach extends the work of cognitive scientists and mathematics educators who have shown this approach supports strong student learning in algebra. The project will design a series of animated geometry curricular materials on a digital platform that ask students to compare different approaches to solving the same geometry problem. The study will measure changes in students' procedural and conceptual knowledge of geometry after engaging with the materials and will explore the ways in which teachers implement the materials in their classrooms. This work is particularly important as geometry is an understudied area in mathematics education, and national and international assessments at the middle school level consistently identify geometry as a mathematics content area in which students score the lowest.

This project draws on prior work that documents the impact of comparison on students' learning in algebra. Providing students with opportunities to compare multiple strategies is recommended by a range of mathematics policy documents, as research has shown this approach promotes flexibility and enhances conceptual knowledge and procedural fluency. More specifically, the approach allows students to compare the effectiveness and efficiency of mathematical arguments in the context of problem solving. An initial pilot study on non-animated contrasting cases in geometry shows promise for the general approach and suggests that animating the cases has the potential for stronger student learning gains. This study will examine the extent to which the animated cases improve students' conceptual and procedural knowledge of geometry and identify factors that relate to changes in knowledge. The project team will develop 24 worked example contrasting cases based on design principles from the prior work in algebra. The materials will be implemented in four treatment classrooms in the first cycle, revised, and then implemented in eight treatment classrooms. Students' written work will be collected along with data on the nature of the classroom discussions and small-group interviews with students. Teachers' perspectives on lessons will also be collected to support revision and strengthening of the materials. Assessments of students' geometry knowledge will be developed using measures with demonstrated validity and reliability to measure changes in student learning.

Developing Organizational Capacity to Improve K-8 Mathematics Teaching and Learning

This project will develop and test a leadership model to improve K-8 mathematics teaching and learning by involving stakeholders across the K-8 spectrum. The project will support teachers, teacher leaders, and administrators in collectively identifying and addressing problems of practice in the teaching and learning of mathematics, and in turn develop plans to improve school and district organizational capacities to support stronger mathematics teaching.

Award Number: 
1907681
Funding Period: 
Mon, 07/01/2019 to Sun, 06/30/2024
Full Description: 

The Developing Organizational Capacity to Improve K-8 Mathematics Teaching and Learning is a 4-year implementation and improvement project. The project will develop and test a leadership model to improve K-8 mathematics teaching and learning by involving stakeholders across the K-8 spectrum. The project will support teachers, teacher leaders, and administrators in collectively identifying and addressing problems of practice in the teaching and learning of mathematics, and in turn develop plans to improve school and district organizational capacities to support stronger mathematics teaching. At the heart of the project is the Elementary Mathematics Leadership (EML) model, which is designed to improve stakeholder understandings of effective math teaching practices. The EML model involves collaboratively identifying classroom-based problems of practice with school and district personnel, designing and implementing professional development aligned with the problems of practice, and iterating those cycles of development, implementation, and revision to assess the model's effectiveness.

The EML model operates at the teacher, school, and district level using a design-based implementation research approach. At the district level, leadership teams in conjunction with researchers will identify problems of practice for which work on those problems will lead to a more coherent mathematics instruction in the district. Following this, professional development and coaching at the teacher level will be designed and implemented to target the problem of practice, with a focus on big ideas within the Common Core State Standards for Mathematics. This phase of the model also includes professional development aimed at school leaders and district administrators to strengthen organizational capacity to support and lead change related to the problem of practice. The final phase of the model calls on researchers, district, and school personnel to engage in an annual redesign of the intervention, making use of data gathered during the school year and evidence about what is happening in classrooms. This design acknowledges the broader policy context in which schools and districts operate as they work towards instructional change. To evaluate the effectiveness of the overall EML model, the project will collect a wide variety of data, including student achievement outcomes using standardized tests; assessments of teachers' mathematical knowledge, instructional practices, and efficacy measures; and measures of leader, administrator, and organizational capacities to support high-quality mathematics instruction. Four districts will be recruited to participate, enacting the model in pairs with a staggered start for one pair of districts to be able to measure treatment effects, using a variation of a switching replications design. Classroom practice and teacher outcomes will be assessed using a variety of MKT assessments, the Mathematical Quality of Instruction (MQI), and the Instructional Quality Assessment (IQA). School level outcomes will be collected via a leadership assessment and interview data, and district level outcomes will be assessed through the use of interview and documentary data. Analysis will include a statistical analysis of the EML model using hierarchical linear modeling, MANOVA/ANOVA, and regression as appropriate at the level of students and teachers, and qualitative analysis and descriptive statistics will be used at the school and district level due to small sample size.

Co-developing a Curriculum Coherence Toolkit with Teachers (Collaborative Research: Olson)

This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum.

Lead Organization(s): 
Award Number: 
1907650
Funding Period: 
Mon, 07/01/2019 to Wed, 06/30/2021
Full Description: 

One important aspect of any mathematics curriculum is its coherence, or the mathematical connections across lessons. This coherence links lessons and activities so that mathematical ideas, representations, practices, skills, and ways of thinking build upon each other to help students construct mathematical meaning and enhance their learning. When teachers relied predominantly on published curriculum materials, curricular coherence was largely provided by the curriculum authors. However, many of today's teachers are no longer given a foundational textbook or single set of resources. Further, teachers have unprecedented access via the internet and social media to lessons and activities produced by many different curriculum developers (including other teachers). As a result, the important task of building curricular coherence becomes the responsibility of the classroom teacher. And yet, very little is known about how teachers think about curricular coherence or how their decisions about lessons and activities reflect the coherent mathematical story they hope to students will learn in their classrooms. This project will investigate the factors that influence curriculum coherence and how teachers in Grades 3-5 respond to these factors as they make decisions about their mathematics curriculum. A national survey of 300 Grades 3-5 teachers will be conducted in in the first phase of the project and the work will continue with small groups of four case study teachers in each of four different districts across four states. Case study participants will work with project researchers to co-develop a set of tools for supporting curriculum coherence. The structure of the project and the selection of case study participants will facilitate the collaborative co-development of tools across institutions and across geographic and curricular contexts, supporting the use of the tools across a wide range of contexts. The outcomes of this study will contribute to broader impacts by developing understandings of curriculum coherence that are robust across a range of curricular, policy, and district/school contexts, with implications that support the participation of students in diverse mathematics classrooms. The survey findings and the coherence toolkit co-developed with teachers will be disseminated widely through conference presentations, including teacher-oriented conferences, through journal publications, and through making survey data available to other researchers.

The research objectives of this study are to explore 1) patterns of Grade 3-5 teacher curricular resource use across a range of curriculum contexts, 2) teacher decisions about curriculum coherence, and 3) how curriculum toolkits co-developed with teachers might support teachers in making decisions related to curriculum coherence. Given the potential variation among and within states and districts in terms of contextual factors impacting curriculum use, teachers will be surveyed about their contexts, available resources, and curricular decision-making. Survey data will be analyzed using primarily descriptive analyses. Following the survey, in-depth case studies of teacher curricular resource use in contexts that vary along two dimensions (autonomy to select curricular resources and the complexity of curricular influences, including the number of resources available) will be developed. Case study data, including interviews, video-recorded co-design groups, and curriculum use artifacts, will be analyzed using methods of discourse analysis, thematic analysis, and document analysis and synthesized within and across cases. By selecting cases along these dimensions, a set of tools will be co-developed to support teachers as they navigate diverse curricular contexts to enact a coherent curriculum for students.

CAREER: Black Youth Development and Curricular Supports for Robust Identities in Mathematics

This study seeks to describe trajectories that describe the ways in which Black learners develop as particular kinds of mathematical learners. The study takes place in the context of an established, multi-year college bridge program that has as its goals to increase the representation of historically marginalized groups in the university community.

Lead Organization(s): 
Award Number: 
1845841
Funding Period: 
Wed, 05/01/2019 to Tue, 04/30/2024
Full Description: 

Student success in mathematics correlates with positive identities, dispositions, and relationships towards the subject. As mathematics education research strives to understand historic inequities in mathematics for Black learners, small-scale research has described the relationships between identity, subjectivity, and positionality in Black learners as it relates to their achievement and interest in mathematics. This study builds on that descriptive work by seeking to describe trajectories that describe the ways in which Black learners develop as particular kinds of mathematical learners. The study takes place in the context of an established, multi-year college bridge program that has as its goals to increase the representation of historically marginalized groups in the university community. Students in the bridge program from three communities in the greater Detroit area with strong academic achievement in mathematics will be recruited. Their experiences in the bridge program will be traced to identify trajectories that describe the development of Black learners relative to mathematics, and document the design features of classroom activities that support learners in moving through those trajectories.

At the center of the project is the study of cohorts of students in grades 8-11 as they move through the summer bridge program. The bridge project's current curriculum features a series of lessons focused on identity development related to mathematics. These lessons will be implemented, studied, revised, and redeployed across the duration of the project across the summer sessions. Teacher focus groups and surveys will assess the implementation of the activities and aggregate feedback on the design. Three cohorts of students will be recruited to participate in the broader project activities from three metro areas with distinctly different demographic profiles. Student mathematical efficacy will be assessed for all participating students. Within each of the three metro areas, students will be recruited that represent differing levels of mathematics efficacy to ensure that focus students are likely to experience different trajectories through their engagement with the study. The students will be interviewed three times in each academic year to describe their trajectories. Student achievement data will also be collected for all participating students along with narrative descriptions and autobiographies about the messages students receive about mathematics. These messages include their own internal thinking about how they see themselves as mathematics learners, and messages that are sent to them by other students, teachers, and the community. Products of the study will be case studies that describe trajectories of identity development in Black mathematics learners, and a disseminated curriculum for a mathematics identity-focused bridge program supporting Black learners.

Pages

Subscribe to Mathematics