Instructional Practice

Exploring the Potential of Tablets as Early Math Resources for Urban Kindergarteners in Schools and Homes

This project will examine the impact on mathematics learning of an initiative to provide kindergartners in an urban school district with personal tablet devices that include free, widely available digital mathematics resources. The research questions examine how teachers use table-based mathematics resources during instruction, how caregivers and children engage with table-based mathematics resources, and how the resources then relate to kindergartners mathematics learning.

Lead Organization(s): 
Award Number: 
1744202
Funding Period: 
Tue, 08/01/2017 to Tue, 07/31/2018
Full Description: 

This project will examine the impact on mathematics learning of an initiative to provide kindergartners in an urban school district with personal tablet devices that include free, widely available digital mathematics resources. An important question for schools as tablet devices become more accessible is how to effectively use them in primary grades, especially kindergarten. In addition, since the devices are portable, how children use the resources such as games for mathematics learning at home is also important to understand. This project is set in a high-needs school district with a large number of low-income children. The project provides an opportunity to learn about the potential role of tables and digital resources in early grades through the analysis of assessment data, user analytic data documenting how the resources were used, and survey data from teachers and families.

Most studies of digital learning resources have been small-scale or focused on engagement. This study offers the opportunity to investigate the relationship between the use of these resources and learning outcomes using a quasi-experimental design. The research questions examine how teachers use table-based mathematics resources during instruction, how caregivers and children engage with table-based mathematics resources and how the resources then relate to kindergartners mathematics learning. Assessments of students' learning will focus on number, geometry and measurement concepts. The learner analytic data from the tablets will document the use of the resources on the tablets. Surveys and demographic data will also be collected to document how the tablets were used. Results of the study should inform implementation of tablet use by schools with particular attention to how they are used across in-class and at-home settings.

Identifying Effective Instructional Practices that Foster the Development of Algebraic Thinking in Elementary School

This project seeks to identify teaching practices that can be linked to students' early algebra learning in grades three, four and five. The goal of the project is to use assessment data and videos of classroom teaching in order to create a tool that can be used to document effective instructional practices. This observation tool can then be used to support teacher professional development in early algebra and research about how teachers' actions can be linked to students' learning.

Lead Organization(s): 
Award Number: 
1721192
Funding Period: 
Thu, 06/01/2017 to Mon, 05/31/2021
Full Description: 

There is a critical need to better prepare all students for learning algebra. Part of this preparation involves developing a strong foundation for algebra in the elementary grades by building on students' informal intuitions about patterns, relationships and structure into more formalized ways of mathematical thinking. This project seeks to identify teaching practices that can be linked to students' early algebra learning in grades three, four and five. The goal of the project is to use assessment data and videos of classroom teaching in order to create a tool that can be used to document effective instructional practices. This observation tool can then be used to support teacher professional development in early algebra and research about how teachers' actions can be linked to students' learning. The project is unique in its work to link an early algebra curriculum with understanding of teachers' practices in implementing that curriculum and students' learning of mathematics.

The project aims to address two research questions. First, what profiles of instructional practice are associated with greater student performance in early algebra? Second, to what extent do these profiles of effective instructional practices vary by grade level? The primary product of the work is an early algebra observation protocol that will capture non-domain and non-grade level specific practices of effective teaching in combination with practices specific to early algebra. Videos of early algebra classrooms will be used to design the observation protocol, which in turn, will then be used along with student assessment data to identify profiles of instructional practices associated with students' learning. Multiple phases of testing and revision will be used to create the observation protocol. The observation protocol will also generate profiles of teacher practices that can be used to describe different models for effectively teaching early algebra. The project will also examine implications of their work for teacher preparation and professional development.

Examining Relationships Between Flipped Instruction and Students' Learning of Mathematics

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

Lead Organization(s): 
Award Number: 
1721025
Funding Period: 
Tue, 08/01/2017 to Fri, 07/31/2020
Full Description: 

Instead of presenting new material in class and then assigning problems to be completed outside of class, flipped instruction involves students watching videos or reading new material outside of class and then completing their "homework" in class. Teachers' implementation of flipped instruction has increased dramatically in recent years, with more than two-thirds of teachers now reporting flipping a lesson, if not an entire course. Although popular media and philanthropic organizations have given a great deal of attention and financial support to flipped instruction, little is known about how teachers implement it and what benefits and drawbacks flipped instruction has in contrast with non-flipped instruction. This study can provide a basis for design research focused on developing effective materials and programs for flipped instruction in secondary mathematics. This design and development is already occurring at an increasing rate, but it is not yet informed by empirical evidence. This project will result in a framework for flipped instruction robust enough to be useful at a variety of grade levels and contexts. The framework will provide a better understanding of the relationships among various implementations of flipped instruction and student learning. These findings can inform teacher educators in better aligning their instruction to instructional formats that correlate with increased student learning outcomes.

Using mixed-methods techniques, the study will look at the nature of the activities and interactions occurring in mathematics classrooms and assess their quality so that the researchers may distinguish high-quality from low-quality univocal discourse, high-quality from low-quality dialogic discourse, and high cognitive demand from low cognitive demand tasks. Working in 40 algebra classrooms -- 20 implementing some form of flipped instruction and 20 serving as a non-flipped basis for comparison -- the project will address the following research questions using a correlational design and multilevel modeling techniques: RQ1. What are salient factors entailed in flipped instruction in secondary algebra? RQ2. What associations, if any, exist among factors entailed in teachers' implementation of flipped algebra instruction and students' learning of algebra as measured on a state-mandated end-of-course assessment and on a concept-of-variable inventory?

Promoting Scientific Explorers Among Students with Learning Disabilities: The Design and Testing of a Grade 2 Science Program Focused on Earth's Systems

The purpose of this project is to design and empirically evaluate a second grade science program, Scientific Explorers, aimed at promoting an early foundation for learning science among all students, including students at risk for or with learning disabilities in reading and mathematics.

Lead Organization(s): 
Award Number: 
1720958
Funding Period: 
Thu, 06/01/2017 to Mon, 05/31/2021
Full Description: 

A robust understanding of core science concepts and practices is necessary for obtaining jobs in STEM (science, technology, engineering, and math) fields. Despite these occupational and practical affordances, few effective instructional tools exist for the elementary science classroom. Moreover, early elementary school teachers have limited materials at their disposal to promote a rich knowledge of science among the full range of learners. The purpose of this project is to address this need by designing and empirically evaluating a second grade science program, Scientific Explorers, aimed at promoting an early foundation for learning science among all students, including students at risk for or with learning disabilities in reading and mathematics. Scientific Explorers will be designed to improve students' knowledge and understanding of core science concepts. Recognizing the important role of early literacy and mathematics in science learning and teaching, this project will integrate core disciplinary ideas with critical mathematics and literacy standards. To support students as they engage in scientific tasks associated with Earth's Systems, this project will engineer the Scientific Explorers program around a guided inquiry framework. Another aim of this project is to develop and empirically validate a science assessment that measures students' knowledge and application of core science concepts and practices related to Earth's Systems.

Employing a mixed-method approach, this project will investigate the feasibility and efficacy of the Scientific Explorers program. Additional research activities will include establishing the reliability and validity of a second grade science assessment. Approximately 40 second grade classrooms from two different geographical regions will participate in the project. Using multilevel modeling and item response theory techniques, this project will address five primary research questions: (1) To what extent can teachers feasibly implement the Scientific Explorers program in authentic education settings? (2) What is the impact of Scientific Explorers on the science achievement of students in participating classrooms? (3) Do early literacy skills at the beginning of second grade predict differential response to the Scientific Explorers program? (4) Does responsiveness to the Scientific Explorers program differ as a function of reading disability, mathematics disability, or a learning disability in reading and mathematics (comorbid LD)?, and (5) To what extent does the early science achievement measure demonstrate technical adequacy (reliability and validity)?

Mobilizing Teachers to Increase Capacity and Broaden Women's Participation in Physics (Collaborative Research: Hannum)

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The aim is to mobilize high school physics teachers to "attract and recruit" female students into physics and engineering careers. The project will advance physics identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement.

Award Number: 
1720869
Funding Period: 
Mon, 05/15/2017 to Fri, 04/30/2021
Full Description: 

This project assesses the impact of scaling-up the teaching of physics and engineering to women students in grade levels 11 and 12, particularly in reference to retention. The problem of low participation of women in physics and engineering has been a topic of concern for decades. The persistent underrepresentation of women in physics and engineering is not just an equity issue but also reflects an unrealized talent pool that can help respond to current and future challenges faced by society. The aim is to mobilize high school physics teachers to "attract and recruit" female students into science (physics) and engineering careers. The fundamental issues that the project seeks is to affect increases in the number of females in physics and engineering careers using research-informed and field-tested classroom practices that improve female students' physics identity. The project will advance science (physics) identity research by testing research-based approaches/interventions with larger groups of teachers and connecting research to practice in ways that are both widely deployable and practical for teachers to implement. The project will also affect female participation in engineering since developing a physics identity is strongly related to choosing engineering. The core area teachers will be trained in addressing student identity as a physicist or engineer.

In this project, two research universities (Florida International University, Texas A&M-Commerce) and the two largest national organizations in physics (American Physical Society and American Association of Physics Teachers) will work together using approaches/interventions drawn from prior research results that will be tested with teachers in three states (24 teachers, 8 in each state) using an experimental design with control and treatment groups. The project proposes three phases: 1. Refine already established interventions for improving female physics identity for use on a massive national level which will be assessed through previously validated and reliable surveys and sound research design; 2. Launch a massive national campaign involving workshops, training modules, and mass communication approaches to reach and attempt to mobilize 16,000 of the 27,000 physics teachers nationwide to attract and recruit at least one female student to physics using the intervention approaches refines in phase 1 and other classroom approaches shown to improve female physics identity; and 3. Evaluate of the success of the campaign through surveys of high school physics teachers (subjective data) and data from the Higher Education Research Institute to monitor female student increases in freshmen declaring a physics major during the years following the campaign (objective data). The interventions will focus on developing female students' physics identity, a construct which has been found to be strongly related to career choice and persistence in physics. The project has the potential to reduce or eliminate the gender gap in the field of physics. In addition, the increase in female physics identity is likely to also increase female representation in engineering majors. Therefore, the work will lay the groundwork for adapting similar methods for increasing under-representation of females in other disciplines. The societies involved (American Physical Society and American Association of Physics Teachers) are uniquely positioned within the discipline to ensure a successful campaign of information dissemination to physics teachers nationally and under-representation of females in other disciplines as well, engineering specifically.

Investigating Productive Use of High-Leverage Student Mathematical Thinking Collaborative Research: Stockero)

This project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. The study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks.

Lead Organization(s): 
Award Number: 
1720566
Funding Period: 
Thu, 06/01/2017 to Mon, 05/31/2021
Full Description: 

The project will examine how secondary mathematics teachers respond to and use students' thinking during whole class discussion. An ongoing challenge for teachers is making the best use of students' emerging mathematical ideas during whole class discussion. Teachers need to draw on the ideas students have developed in order to create opportunities for learning about significant mathematical concepts. This study will create tasks specifically designed to generate opportunities for teachers to build on students' thinking and then use classroom observation and analysis of classroom video to develop tools to support teachers in leading whole class discussion.

The project focuses on the teaching practice of building on student thinking, a practice in which teachers engage students in making sense of their peers' mathematical ideas in ways that help the whole class move forward in their mathematical understanding. This study examines how teachers incorporate this practice into mathematics discussions in secondary classrooms by designing tasks that generate opportunities for teachers to build on students' thinking and by studying teachers' orchestration of whole class discussions around student responses to these tasks. The project engages teacher-researchers in exploring the building practice. The teacher-researchers will use the project-designed tasks in their classrooms and then engage in a cycle of analysis of their own teaching with the research team. Data collection and analysis will rely on video analysis of classrooms, teachers' reflections on task enactment, and data collected during research team meetings convened with teacher-researchers to analyze practice.

CAREER: Investigating Changes in Students' Prior Mathematical Reasoning: An Exploration of Backward Transfer Effects in School Algebra

This project explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate algebra I students as they learn quadratic functions and examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions.

Lead Organization(s): 
Award Number: 
1651571
Funding Period: 
Sat, 07/01/2017 to Thu, 06/30/2022
Full Description: 

As students learn new mathematical concepts, teachers need to ensure that prior knowledge and prior ways understanding are not negatively affected. This award explores "backward transfer", or the ways in which new learning impacts previously-established ways of reasoning. The PI will observe and evaluate students in four Algebra I classrooms as they learn quadratic functions. The PI will examine how different kinds of instruction about the new concept of quadratic functions helps or hinders students' prior mathematical knowledge of the previous concept of linear functions. More generally, this award will contribute to the field of mathematics education by expanding the application of knowledge transfer, moving it from only a forward focused direction to include, also, a backward focused direction. An advisory board of scholars with expertise in mathematics education, assessment, social interactions, quantitative reasoning and measurement will support the project. The research will occur in diverse classrooms and result in presentations at the annual conferences of national organizations, peer-reviewed publications, as well as a website for teachers which will explain both the theoretical model and the findings from the project. An undergraduate university course and professional development workshops using video data from the project are also being developed for pre-service and in-service teachers. Ultimately, the research findings will generate new knowledge and offer guidance to elementary school teachers as they prepare their students for algebra.

The research involves three phases. The first phase includes observations and recordings of four Algebra I classrooms and will test students' understanding of linear functions before and after the lessons on quadratic functions. This phase will also include interviews with students to better understand their reasoning about linear function problems. The class sessions will be coded for the kind of reasoning that they promote. The second phase of the project will involve four cycles of design research to create quadratic and linear function activities that can be used as instructional interventions. In conjunction with this phase, pre-service teachers will observe teaching sessions through a course that will be offered concurrently with the design research. The final phase of the project will involve pilot-applied research which will test the effects of the instructional activities on students' linear function reasoning in classroom settings. This phase will include treatment and control groups and further test the hypotheses and instructional products developed in the first two phases.

Readiness through Integrative Science and Engineering: Refining and Testing a Co-constructed Curriculum Approach with Head Start Partners

Building upon prior research on Head Start curriculum, this phase of Readiness through Integrative Science and Engineering (RISE) will be expanded to include classroom coaches and community experts to enable implementation and assessment of RISE in a larger sample of classrooms. The goal is to improve school readiness for culturally and linguistically diverse, urban-residing children from low-income families, and the focus on science, technology, and engineering will address a gap in early STEM education.

Lead Organization(s): 
Award Number: 
1621161
Funding Period: 
Sat, 10/01/2016 to Wed, 09/30/2020
Full Description: 

Readiness through Integrative Science and Engineering (RISE) is a late stage design and development project that will build upon the results of an earlier NSF-funded design and development study in which a co-construction process for curriculum development was designed by a team of education researchers with a small group of Head Start educators and parent leaders. In this phase, the design team will be expanded to include Classroom Coaches and Community Experts to enable implementation and assessment of the RISE model in a larger sample of Head Start classrooms. In this current phase, an iterative design process will further develop the science, technology, and engineering curricular materials as well continue to refine supports for teachers to access families' funds of knowledge related to science, technology, and engineering in order to build on children's prior knowledge as home-school connections. The ultimate goal of the project is to improve school readiness for culturally and linguistically diverse, urban-residing children from low-income families who tend to be underrepresented in curriculum development studies even though they are most at-risk for later school adjustment difficulties. The focus on science, technology, and engineering will address a gap in early STEM education.

The proposed group-randomized design, consisting of 90 teachers/classrooms (45 RISE/45 Control), will allow for assessment of the impact of a 2-year RISE intervention compared with a no-intervention control group. Year 1 will consist of recruitment, induction, and training of Classroom Coaches and Community Experts in the full RISE model, as well as preparation of integrative curricular materials and resources. In Year 2, participating teachers will implement the RISE curriculum approach supported by Classroom Coaches and Community Experts; data on teacher practice, classroom quality, and implementation fidelity will be collected, and these formative assessments will inform redesign and any refinements for Year 3. During Year 2, project-specific measures of learning for science, technology, and engineering concepts and skills will also be tested and refined. In Year 3, pre-post data on teachers (as in Year 2) as well as on 10 randomly selected children in each classroom (N = 900) will be collected. When child outcomes are assessed, multilevel modeling will be used to account for nesting of children in classrooms. In addition, several moderators will be examined in final summative analyses (e.g., teacher education, part or full-day classroom, parent demographics, implementation fidelity). At the end of this project, all materials will be finalized and the RISE co-construction approach will be ready for scale-up and replication studies in other communities.

Longitudinal Learning of Viable Argument in Mathematics for Adolescents

This project builds on a prior study that demonstrated increases in students' knowledge of argumentation and their performance on mathematics assessments. The project will extend the use of the argumentation intervention into all eighth grade content areas, with a specific focus on students' learning of reasoning and proof, and contribute to understanding how students' learning about mathematical practices that can help them learn mathematics better.

Lead Organization(s): 
Partner Organization(s): 
Award Number: 
1621438
Funding Period: 
Thu, 09/01/2016 to Mon, 08/31/2020
Full Description: 

The project will examine learning in eighth grade mathematics with a specific focus on students' learning of reasoning and proof. The intervention builds on a prior study in algebra that demonstrated increases in students' knowledge of argumentation and their performance on mathematics assessments. This project will extend the use of the argumentation intervention into all eighth grade content areas. The investigators will also address support for teachers in the form of teacher materials that link the argumentation content with mathematics standards and state-wide assessments, and a learning progression to engage students in proving tasks. The project will use assessments of mathematics learning and additional data from teachers and students to understand the impact of the argumentation intervention on teachers and students. The project contributes to understanding how students can learn about mathematical practices, such as proving, that can help them learn mathematics better. A significant contribution will be the definition of aspects of proving and descriptions of student outcomes that can be used to measure how well students have achieved these components of proving. The Discovery Research PreK-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. This project is also supported by NSF's EHR Core Research (ECR) program. The ECR program emphasizes fundamental STEM education research that generates foundational knowledge in the field.

The project suggests twelve conceptual pillars that are combined with classroom processes and assessable outcomes to examine the use of argumentation practices in the teaching of eighth grade mathematics content. The investigation of classroom support for argumentation includes research questions that focus on improvement on state-level assessments, students' ability to construct mathematical arguments, and the conceptual progression that supports students' understanding of argumentation and proof. In addition, the study will examine teachers' role in argumentation in the classroom and their perception of potential challenges for classroom implementation. The study will use an experimental design to examine an intervention for mathematical reasoning and proof in eighth grade. The project includes a treatment group of teachers that will participate in professional development including a summer institute followed by instructional coaching over a two year period.

Analysis of Effective Science Coaching: What, Why and How

This project will conduct an in-depth analysis of instructional coaching by analyzing archived video-recorded coaching sessions with middle and high school science teachers. The goal of the project is to analyzing the videos and previously collected quantitative outcome data to create descriptive profiles of instructional coaching and identify which key coaching elements lead to desired teacher and student outcomes.

Lead Organization(s): 
Award Number: 
1621308
Funding Period: 
Sat, 10/01/2016 to Mon, 09/30/2019
Full Description: 

This Exploratory project will conduct an in-depth analysis of instructional coaching by analyzing 520 hours of archived video-recorded coaching sessions with 75 middle and high school science teachers in grades 6-12 collected in a U.S. Department of Education IES-funded coaching research study. The goal of the project is to "unpack" the coaching intervention by analyzing the videos and previously collected quantitative outcome data to (a) create descriptive profiles of instructional coaching and (b) identify which key coaching elements ("active ingredients") lead to desired teacher and student outcomes.

Following a design-based research approach, relying on iterative feedback and using data saturation process to analyze data, the project will translate theorized, conceptual characteristics of coaching into empirical models to guide future coaching research and practical guidance through identification of critical elements needed for coaching to work.

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