Broadening Participation

CAREER: Designing and Enacting Mathematically Captivating Learning Experiences for High School Mathematics

This project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as "mathematically captivating learning experiences" or "MCLEs"). The study will examine how high school teachers can design lessons so that mathematical content itself is the source of student intrigue, pursuit, and passion.

Lead Organization(s): 
Award Number: 
1652513
Funding Period: 
Wed, 02/15/2017 to Mon, 01/31/2022
Full Description: 

This design and development project explores how secondary mathematics teachers can plan and enact learning experiences that spur student curiosity, captivate students with complex mathematical content, and compel students to engage and persevere (referred to as "mathematically captivating learning experiences" or "MCLEs"). This study is important because of persistent disinterest by secondary students in mathematics in the United States. This study will examine how high school teachers can design lessons so that mathematical content itself is the source of student intrigue, pursuit, and passion. To do this, the content within mathematical lessons (both planned and enacted) is framed as mathematical stories and the felt tension between how information is revealed and withheld from students as the mathematical story unfolds is framed as its mathematical plot. The Mathematical Story Framework (Dietiker, 2013, 2015) foregrounds both the coherence (does the story make sense?) and aesthetic (does it stimulate anticipation for what is to come, and if so, how?) dimensions of mathematics lessons. The project will generate principles for lesson design usable by teachers in other settings and exemplar lessons that can be shared.

Specifically, this project draws from prior curriculum research and design to (a) develop a theory of teacher MCLE design and enactment with the Mathematical Story Framework, (b) increase the understanding(s) of the aesthetic nature of mathematics curriculum by both researchers and teachers, and (c) generate detailed MCLE exemplars that demonstrate curricular coherence, cognitive demand, and aesthetic dimensions of mathematical lessons. The project is grounded in a design-based research framework for education research. A team of experienced high school teachers will design and test MCLEs (four per teacher) with researchers through three year-long cycles. Prior to the first cycle, data will be collected (interview, observations) to record initial teacher curricular strategies regarding student dispositions toward mathematics. Then, a professional development experience will introduce the Mathematical Story Framework, along with other curricular frameworks to support the planning and enacting of lessons (i.e., cognitive demand and coherence). During the design cycles, videotaped observations and student aesthetic measures (surveys and interviews) for both MCLEs and a non-MCLEs (randomly selected to be the lesson before or after the MCLE) will be collected to enable comparison. Also, student dispositional measures, collected at the beginning and end of each cycle, will be used to learn whether and how student attitudes in mathematics change over time. Of the MCLEs designed and tested, a sample will be selected (based on aesthetic and mathematical differences) and developed into models, complete with the rationale for and description of aesthetic dimensions.

Algebra Project Mathematics Content and Pedagogy Initiative

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.

Award Number: 
1621416
Funding Period: 
Thu, 09/15/2016 to Mon, 08/31/2020
Full Description: 

Algebra continues to serve as a gatekeeper and potential barrier for high school students. The Algebra Project Mathematics Content and Pedagogy Initiative (APMCPI) 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. The APMCPI project team is comprised of four HBCUs (Virginia State University, Dillard University, Xavier University, Lincoln University), the Southern Initiative Algebra Project (SIAP), and four school districts that are closely aligned with partner universities. The purpose of the Algebra Project is to improve performance and participation in mathematics by members of students in distressed school districts, particularly those with a large population of low-income students from underserved populations including African American and Hispanics. The project will provide professional development and implement the Algebra Project in four districts and study the impact on student learning. The research results will inform the nation's learning how to improve mathematics achievement for all children, particularly those in distressed inner-city school districts.

The study builds on a prior pilot project with a 74% increase in students who passed the state exam. In the early stages of this project, teachers in four districts closely associated with the four universities will receive Algebra Project professional development in Summer Teacher Institutes with ongoing support during the academic year, including a community development plan. The professional development is designed to help teachers combine mathematical problem solving with context-rich lessons, which both strengthen and integrate teachers' understanding of key concepts in mathematics so that they better engage their students. The project also will focus on helping teachers establish a framework for mathematically substantive, conceptually-rich and experientially-grounded conversations with students. The first year of the study will begin a longitudinal quasi-experimental, explanatory, mixed-method design. Over the course of the project, researchers will follow cohorts who are in grade-levels 5 through 12 in Year 1 to allow analyses across crucial transition periods - grades 5 to 6; grades 8 to 9; and grades 12 to college/workforce. Student and teacher data will be collected in September of Project Year 1, and in May of each project year, providing five data points for each student and teacher participant. Student data will include student attitude, belief, anxiety, and relationship to mathematics and science, in addition to student learning outcome measures. Teacher data will include content knowledge, attitudes and beliefs, and practices. Qualitative data will provide information on the implementation in both the experimental and control conditions. Analysis will include hierarchical linear modeling and multivariate analysis of covariance.

Sonified Interactive Simulations for Accessible Middle School STEM

For this project, researchers will iteratively develop simulations to include sonifications, non-speech sounds that represent visual information, aimed at enhancing accessibility for all learners, but particularly for those with visual impairments to produce sonified simulations, professional development resources, design guidelines and exemplars, and publications.

Lead Organization(s): 
Award Number: 
1621363
Funding Period: 
Sat, 10/01/2016 to Mon, 09/30/2019
Full Description: 

Students with disabilities often have fewer opportunities for experiential learning, an important component of quality STEM education. Computer based simulations in science can provide valuable opportunities for these students to experience and manipulate natural phenomena related to critical STEM ideas. However, existing simulations remain largely inaccessible to students with visual impairments in particular. Recent advances in technology related to sonification use with simulations can make it possible for these students to have a more complete and authentic experience. Sonification is the use of non-speech sounds, such as musical tones, to represent visual information including data. Such sounds can be manipulated temporally and spatially and can also vary by amplitude and frequency to convey information that is more traditionally displayed visually. 

Researchers will iteratively develop five middle school physical science simulations to include sonifications aimed at enhancing accessibility for all learners, but particularly for those with visual impairments. Data collection activities will include focus groups and interviews with students and teachers focused on engagement. The end products of this project will include sonified simulations, professional development resources, design guidelines and exemplars, and publications.

Doing the Math with Paraeducators: A Research and Development Project

This project will design and pilot professional development that focuses on developing the confidence, mathematical knowledge, and teaching strategies of paraeducators using classroom activities that they are expected to implement. The planned professional development will enable them to make a greater difference in the classroom, but it will also increase their access to continuing education and workplace opportunities.

Lead Organization(s): 
Award Number: 
1621151
Funding Period: 
Thu, 09/15/2016 to Sat, 08/31/2019
Full Description: 

Over one million paraeducators (teaching assistants and volunteers) currently assist in classrooms, and another 100,000 are likely to be added in the next ten years. Paraeducators (paras) are often required to teach content, such as mathematics, but there are few efforts to provide them with the knowledge or supervision they need to be effective when working with a range of students, including those with disabilities and for whom English is a second language. The project will focus on developing the confidence, mathematical knowledge, and teaching strategies of paras using classroom activities that they are expected to implement. The planned professional development will enable them to make a greater difference in the classroom, but it will also increase their access to continuing education and workplace opportunities. The work will be conducted in the Boston Public Schools (BPS) and will focus on grades K-3, where the largest numbers of paras are employed. Given the importance of early math learning in predicting mathematical achievement, supporting paras who work in the early grades is particularly important.

The project will design and pilot professional development that supports paraeducator knowledge development and addresses instructional challenges in teaching mathematics. The project will address the following goals: research the current roles of paras in mathematics instruction, the preparation of their collaborating teachers, and the opportunities for collaboration and planning between supervising teachers and paras in BPS; pilot, develop, implement, and research a model for professional development program for paras that targets specific activities they can implement that are key to student learning in number and operation in K-3; document how paras assume new roles that increase student engagement and empower them as mathematical learners; pilot, develop, implement, and research a supervisory component to help teachers set expectations, and structures for debriefing and reflecting along with their paras; and identify next steps for an early stage development study based on our findings. A needs assessment survey will investigate the context in which paras work. The iterative process of design-based research will develop, test, and implement the targeted professional development with paras, measuring how prepared they feel to implement new ideas and how they translate their learning into new pedagogical practices. Crosscase analyses, descriptive statistics, tallies and coded behaviors from observations, and themes from paras, and teacher and administrator interviews will be collected, coded, and analyzed. Furthermore, an efficacy survey will be administered periodically to document longitudinal changes in paras, which will be integrated in the crosscase analyses.

Organizing to Learn Practice: Teacher Learning in Classroom-Focused Professional Development

This project addresses the fundamental challenge of how to support teachers to improve their practice. The approach uses a "live mathematics classroom" as a common text for working on practice, where participants are not only watching and discussing but are engaged in developing and learning practice. The project will generate new knowledge regarding ways in which elementary teachers of mathematics can be supported to learn effective teaching practice.

Lead Organization(s): 
Award Number: 
1621104
Funding Period: 
Thu, 09/01/2016 to Mon, 08/31/2020
Full Description: 

Growing evidence about the powerful effects of skillful teaching on students' learning creates a need to for professional development that impacts teachers' actual practice. Just as other professions (e.g., nursing, social work, law) have centered practitioners' learning in "live" practice with structures that support learning in context, the project will investigate whether and how this can be accomplished in teaching. The approach uses a "live mathematics classroom" as a common text for working on practice, where participants are not only watching and discussing but are engaged in developing and learning practice. The project also explores the following variations in practice-based professional development: (1) on-site and remote participation of teachers; and (2) the addition of supplementary practice-focused professional development. The project will generate new knowledge regarding ways in which elementary teachers of mathematics can be supported to learn effective teaching practice.

This project addresses a fundamental challenge for professional development, that is, how to support teachers to improve their practice. Teachers profit from well-designed opportunities to develop new visions for practice, learn more about students' thinking, or work on specific mathematical topics or tasks. Still, such opportunities are often insufficient to support teachers with the complexity of classroom teaching. These kinds of professional opportunities focus on critical resources for instruction but not on the details of teaching practice itself. This practice-centered professional development is situated within a summer mathematics program for fifth graders. The proposed research will explore the impact on teachers' practice, as well as on their knowledge and dispositions, from participating in these structured ways. Three studies will resolve the following three sets of questions: (1) What do teachers learn from structured participation in the class? Does their participation impact their own teaching practice, and if so, in what ways? (2) Does the setting of the peripheral participation matter? Does this form of participation impact their own teaching practice, and if so, in what ways? (3) Does the addition of professional development focused on a particular teaching practice impact teachers' own practice, and if so, in what ways? How does the addition of professional development focused on a specific instructional practice compare across the in-person and online forms of participation in terms of impact on teachers' own practice? The project will collect and analyze several types of data pre- and post-intervention, including measures of mathematical knowledge for teaching, measures of language for talking about the work of teaching and students, and skill with leading a mathematics discussion, and the mathematical quality of instruction. The project will generate new knowledge related to to organizing professional learning around supports that teachers need to learn practice as well as ways to study their learning of teaching practice.

Developing A Discourse Observation Tool and Online Professional Development to Promote Science, Oral Language and Literacy Development from the Start of School

The goal of this project is to develop a classroom observation tool and an online professional development model to help early-elementary teachers improve science instruction among young learners by cultivating scientific discourse.

Lead Organization(s): 
Award Number: 
1620580
Funding Period: 
Thu, 09/15/2016 to Mon, 08/31/2020
Full Description: 

The goal of this project is to develop resources and a professional development model to help early-elementary teachers improve science instruction among young learners by cultivating scientific discourse. A central component of the Next Generation Science Standards (NGSS) is engaging students in discourse with a focus on formulating and communicating scientific explanations. This project will develop a classroom observation tool that will help teachers examine changes in the quantity and quality of science discourse in K-2 classrooms over time. The project will also develop an online professional development (PD) model that uses the new observation tool to help teachers analyze their own classroom practices and the practice of others to improve classroom efforts to foster improved scientific discourse.

This early stage design and development study will employ a Design-Based Implementation Research (DBIR) approach to develop the new classroom observation tool and online professional development model, and then seek answers to the following research questions: 1) How can a classroom observation measure be developed to effectively capture the range in quality of science discourse in early elementary classrooms?; 2) How can an online PD model be developed based on the new observation tool?; 3) How do teachers' knowledge and instructional practice change over the course of participation in the yearlong PD?; and 4) How does the quantity and quality of science discourse change in K-2 classrooms over the course of teachers' participation in a yearlong online PD experience that is built around the new observation tool? The project will engage 36 teachers and their 36 different classrooms in Michigan and use multiple data sources to understand whether and how teacher knowledge and instructional practices change during participation in the new PD model. Multiple iterations of design, data collection, and refinement will be used to understand how, when, and why features of the PD and observation tool might combine to transform science discourse in early elementary classrooms. In years 3 and 4, the project team will conduct two year-long implementation trials with cohorts of 15 teachers and 5 instructional coaches (experienced science teachers) who will use the PD and tool in order study their implementation and make iterative improvements. The project will also gather data to understand changes in teacher knowledge and practice as well as video data to document changes in classroom discourse.

CAREER: Designing Learning Environments to Foster Productive and Powerful Discussions Among Linguistically Diverse Students in Secondary Mathematics

Lead Organization(s): 
Award Number: 
1553708
Funding Period: 
Mon, 02/01/2016 to Sun, 01/31/2021
Full Description: 

The project will design and investigate learning environments in secondary mathematics classrooms focused on meeting the needs of English language learners. An ongoing challenge for mathematics teachers is promoting deep mathematics learning among linguistically diverse groups of students while taking into consideration how students' language background influences their classroom experiences and the mathematical understandings they develop. In response to this challenge, this project will design and develop specialized instructional materials and guidelines for teaching fundamental topics in secondary algebra in linguistically diverse classrooms. The materials will incorporate insights from current research on student learning in mathematics as well as insights from research on the role of language in students' mathematical thinking and learning. A significant contribution of the work will be connecting research on mathematics learning generally with research on the mathematics learning of English language learners. In addition to advancing theoretical understandings, the research will also contribute practical resources and guidance for mathematics teachers who teach English language learners. The Faculty Early Career Development (CAREER) program is a National Science Foundation (NSF)-wide activity that offers awards in support of junior faculty who exemplify the role of teacher-scholars through outstanding research, excellent education, and the integration of education and research within the context of the mission of their organizations.

The project is focused on the design of specialized hypothetical learning trajectories that incorporate considerations for linguistically diverse students. One goal for the specialized trajectories is to foster productive and powerful mathematics discussions about linear and exponential rates in linguistically diverse classrooms. The specialized learning trajectories will include both mathematical and language development learning goals. While this project focuses on concepts related to reasoning with linear and exponential functions, the resulting framework should inform the design of specialized hypothetical learning trajectories in other topic areas. Additionally, the project will add to the field's understanding of how linguistically diverse students develop mathematical understandings of a key conceptual domain. The project uses a design-based research framework gathering classroom-based data, assessment data, and interviews with teachers and students to design and refine the learning trajectories. Consistent with a design-based approach, the project results will include development of theory about linguistically diverse students' mathematics learning and development of guidance and resources for secondary mathematics teachers. This research involves sustained collaboration with secondary mathematics teachers and the impacts will include developing capacity of teachers locally, and propagating the results of this work in professional development activities.


Project Videos

2019 STEM for All Video Showcase

Title: Fostering Math Discussions among English Learners

Presenter(s): William Zahner


Exploring Ways to Transform Teaching Practices to Increase Native Hawaiian Students' Interest in STEM

This project will integrate Native Hawaiian cross-cultural practices to explore ways to help teachers know about and know how to connect resources of students' familiar worlds to their science teaching. This project will transform the ways teachers orient their teaching at the upper elementary and middle grades through professional development courses offered at the University of Hawaii at Manoa.

Lead Organization(s): 
Award Number: 
1551502
Funding Period: 
Tue, 09/01/2015 to Fri, 08/31/2018
Full Description: 

This project will integrate Native Hawaiian cross-cultural practices to explore ways to help teachers know about and know how to connect resources of students' familiar worlds to their science teaching. This research is needed since Native Hawaiians are often stereotyped as poor learners; the available STEM workforce falls short of meeting the demands of STEM employers in the state; and as the largest group of public school enrollees, data show a greater decline in percent of students meeting or exceeding proficiency in science at higher grade levels. This project will address these issues by transforming the ways teachers orient their teaching at the upper elementary and middle grades through professional development courses offered at the University of Hawaii at Manoa.

The professional development model for teachers will be situated in the larger national and global contexts of an increasingly technology oriented, urbanized society with associated marginalization of indigenous people whose traditional ecological knowledge and indigenous languages are often overlooked. Guided by the cultural mental model theory and a mixed methods approach, data will be collected through document analysis, surveys, individual and focus group interviews, and pre-post assessments. This approach will capture initials findings about the influence of the professional development model on teaching and learning in science. The end products from this project will be an improved professional development model that is more sensitive to contexts that promote learning by Native Hawaiian students. It will also produce a survey instrument to assess student interest and engagement in science learning whose teachers will have participated in the professional development model being explored. Both outcomes will potentially be instrumental in changing the way approximately 2000 Native Hawaiian students learn about and become more interested in STEM fields through their natural world.

Mathematical and Computational Methods for Planning a Sustainable Future II

The project will develop modules for grades 9-12 that integrate mathematics, computing and science in sustainability contexts. The project materials also include information about STEM careers in sustainability to increase the relevancy of the content for students and broaden their understanding of STEM workforce opportunities. It uses summer workshops to pilot test materials and online support and field testing in four states. 

Lead Organization(s): 
Award Number: 
1503414
Funding Period: 
Wed, 07/15/2015 to Sun, 06/30/2019
Full Description: 

The project will develop modules for grades 9-12 that integrate mathematics, computing and science in sustainability contexts. The project materials also include information about STEM careers in sustainability to increase the relevancy of the content for students and broaden their understanding of STEM workforce opportunities. It uses summer workshops to pilot test materials and online support and field testing in four states. Outcomes include the modules, tested and revised; strategies for transfer of learning embedded in the modules; and a compendium of green jobs, explicitly related to the modules. The Discovery Research K-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by preK-12 students and teachers, through research and development of innovative resources, models and tools (RMTs). Projects in the DRK-12 program build on fundamental research in STEM education and prior research and development efforts that provide theoretical and empirical justification for proposed projects. The STEM+Computing Partnerships (STEM+C) Program is a joint effort between the Directorate for Education & Human Resources (EHR) and Directorate Computer & Information Science & Engineering (CISE). Reflecting the increasing role of computational approaches in learning across the STEM disciplines, STEM+C supports research and development efforts that integrate computing within one or more STEM disciplines and/or integrate STEM learning in computer science; 2) advance multidisciplinary, collaborative approaches for integrating computing in STEM in and out of school, and 3) build capacity in K-12 computing education through foundational research and focused teacher preparation

The project is a full design and development project in the learning strand of DRK-12. The goal is to enhance transfer of knowledge in mathematics and science via sustainability tasks with an emphasis on mathematical and scientific practices. The research questions focus on how conceptual representations and the modules support students' learning and especially transfer to novel problems. The project design integrates the research with the curriculum development. It includes a mixed methods data collection and analysis from teachers and students (e.g., interviews, content exams, focus groups, implementation logs). Assessment of student work includes both short, focused problems in the content area and longer project-based tasks providing a range of assessments of student learning. The investigators will develop a rubric for scoring student work on the tasks. The curriculum design process includes iterations of the modules over time with feedback from teachers and using data collected from the implementation.

Retention of Early Algebraic Understanding

The project will use a quasi-experimental design to explore students' knowledge of core algebraic concepts in middle grades (grade 6), one year after their completion of 3-year, grades 3-5 early algebra intervention. The research questions are: (1) how well students who received a specific intervention retain their understanding of algebraic concepts in future years; and (2) whether and how the intervening year of regular classroom instruction in grade 6 influences the algebra understanding of both intervention and comparison students.

Lead Organization(s): 
Award Number: 
1550897
Funding Period: 
Tue, 09/01/2015 to Wed, 08/31/2016
Full Description: 

The Discovery Research K-12 program (DRK-12) seeks to significantly enhance the learning and teaching of science, technology, engineering and mathematics (STEM) by prek-12 students and teachers through research and development of innovative resources, models and tools. While national and state standards provide important benchmarks for algebra learning beginning in kindergarten, they do not provide rigorously tested models by which these algebra standards might be attained in elementary grades classrooms in ways that will ensure further mathematics achievement. This work will addresses this need by closely documenting the effectiveness of models and tools, developed in our previous work, for early algebra education

The proposed project will use a quasi-experimental design to explore students' knowledge of core algebraic concepts in middle grades (grade 6), one year after their completion of 3-year, grades 3-5 early algebra intervention. The project will also study the algebraic knowledge of a comparison group of students. The research questions are: (1) how well students who received a specific intervention retain their understanding of algebraic concepts in future years; and (2) whether and how the intervening year of regular classroom instruction in grade 6 influences the algebra understanding of both intervention and comparison students.

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