This program of research will examine how middle school pre-service teachers' knowledge of mathematical argumentation and proving develops in teacher preparation programs. The project explores the research question: What conceptions of mathematical reasoning and proving do middle school preservice teachers hold in situations that foster reasoning about change, proportionality, and proportional relationships, as they enter their mathematics course sequence in their teacher preparation program, and how do these conceptions evolve throughout the program?
Projects
This project will investigate teachers' knowledge of noticing students' science thinking. The project will examine teacher noticing in practice, use empirical evidence to model the teacher knowledge involved, and design teacher learning materials informed by the model. The outcomes of this project will be a model of teachers' knowledge of noticing Appalachian students' thinking in science and the design of web-based interactive instructional materials supporting teachers' knowledge construction around noticing Appalachian students' thinking in science.
This project investigates and expands teachers' learning to notice in two important ways. First, the research expands beyond teachers' noticing of written and verbal thinking to attend to gesture and other aspects of embodied and multimodal thinking. Second, the project focuses on algebraic thinking and seeks specifically to understand how teacher noticing relates to the content of algebra. Bringing together multimodal thinking and the mathematical ideas in algebra has the potential to support teachers in providing broader access to algebraic thinking for more students.
This project examines the development of statistical literacy that combines statistical reasoning and thinking. The project will use professional learning communities for teachers to learn about statistical literacy and develop learning experiences for their students. The project will engage students and teachers in finding meaningful ways to use statistical reasoning to make data-based arguments and reason about patterns they observe in society.
There have been prominent and widespread calls for high school science students to work with data in more complex ways that better align with and support the work of professional scientists and engineers. However, high school students' analysis and interpretation of scientific data is often limited in scope, complexity, and authentic purpose. This project aims to support and advance students' work with ecological data in high school biology classrooms by embracing a new approach: Bayesian data analysis methods. Such methods involve expressing initial ideas or beliefs and updating them quantitatively with data that students access or record. This project will empower 20 high school teachers and their approximately 1,200 students to make sense of data within and beyond classroom contexts. It also will involve sharing research findings, an educational technology tool for Bayesian data analysis, and curricular resources in open and accessible ways.
Advancing Reasoning addresses the lack of materials for teacher education by investigating pre-service secondary mathematics teachers' quantitative reasoning in the context of secondary mathematics concepts including function and algebra. The project extends prior research in quantitative reasoning to develop differentiated instructional experiences and curriculum that support prospective teachers' quantitative reasoning and produce shifts in their knowledge.
This project will address widespread misunderstandings related to evolution by developing and testing a new high school curriculum unit and assessment measures focusing on biological evolution. The new curriculum will integrate the three dimensions of the Next Generation Science Standards, the Common Core Mathematics standards on reasoning abstractly and quantitatively, and an English Language Arts standard for writing arguments focused on discipline-specific content.
Building Base Line Objectives for Children’s Knowledge Skills for Science (BLOCKS)is a 4-year project that integrates research and applied teaching to take a close look inside prekindergarten classrooms. The overall research project includes extensive classroom observation by teachers and researchers of children’s ability to learn science processes and content; intensive professional development and mentoring support for teachers to learn science; and multiple qualitative, as well as, quantitative assessment strategies.
The infrastructure to improve mathematics education in the US requires building human resources in mathematics and mathematics education into a professional community that can respond to the critical needs in the field. This project seeks to build a professional community with shared understanding of the specialized content knowledge (SCK) - the special forms and ways of reasoning about mathematical knowledge used in teaching (MKT).
This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.
This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.
This project will address the pressing national need to generate shared, practice-based knowledge about how to implement freely available, high-quality instructional resources (mathematics formative assessment lessons) that have been shown to produce significant gains in student learning outcomes. It will expand a professional development model (Analyzing Instruction in Mathematics using the Teaching for Robust Understanding Framework (AIM-TRU)) that supports teacher learning about effective lesson implementation.
This project will build on prior funding to design a next generation diagnostic assessment using learning progressions and other learning sciences research to support middle grades mathematics teaching and learning. The project will contribute to the nationally supported move to create, use, and apply research based open educational resources at scale.
This project focuses on scaling up the SimCalc project and emphasizes bridging mathematical knowledge for teaching (MKT) on proportional reasoning and argumentation as part of teachers' classroom practices. This project will test the hypothesis that professional development that helps to bridge content knowledge and classroom practice can effect positive teacher change and seeks to understand how this is accomplished.
This project addresses a critical need to help middle school teachers learn to incorporate data science in their teaching. It uses an open-source platform called the Common Online Data Analysis Platform (CODAP) as a tool for teachers to learn about data science and develop resources for students’ learning. The project team will develop a framework for teachers’ knowledge of data science teaching and learning. Insights from the project will help develop effective practices for teaching data science and understanding how students learn data science.
The mayor of Birmingham is making a two year loan of XO laptops to middle school students in the Birmingham City Schools in Alabama. The educational and social changes that will occur in classrooms and the effects on several student outcomes are studied in this Small Grant for Exploratory Research. It is expected that access to technology will change the educational and social environment in classrooms and affect student outcomes.
This project is assessing the capacities needed by elementary teachers for productive use of mathematics curriculum materials. The project is guided by the assumption that well-designed curriculum programs have the potential to contribute to improvement in mathematics learning opportunities in K-12 classrooms. Yet, minimal research has examined the kind of knowledge and capacities necessary for teachers to use these resources productively. The project will undertake such research and develop tools to assess these capacities.
This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.
This collaborative project is developing instruments to assess secondary teachers' Mathematical Habits of Mind (MHoM). These habits bring parsimony, focus, and coherence to teachers' mathematical thinking and, in turn, to their work with students. This work fits into a larger research agenda with the ultimate goal of understanding the connections between secondary teachers' mathematical knowledge for teaching and secondary students' mathematical understanding and achievement.
This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.
This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.
This project explores the effectiveness of two different versions of professional development (PD) designed to enhance middle school mathematics teachers’ understanding of fractions and proportions, and their teaching of these mathematical concepts to students. The PD uses an approach that engages teachers with web-based apps that allow them to test and experiment with their mathematical ideas. The apps, combined with guiding questions that challenge teachers’ thinking about fractions and proportions, serve both to promote critical thinking about the concepts and to further developing their understandings of the concepts. The researchers will use an innovative approach, topic modeling, to examine the effectiveness of each of version of the PD.
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.
The American Museum of Natural History in New York City, in partnership with New York University, and in collaboration with five high-needs schools, is developing, implementing, and researching a five-year pilot Master of Arts in Teaching (MAT) program in Earth Science. The program is delivered by the Museum's scientific and education teams and its evaluation covers aspects of the program from recruitment to first year of teaching.
Using an experimental design, this project examines the effects of online professional development courses on high school biology teachers' content and pedagogical knowledge, and on their students' knowledge. The project is testing the impact of using digital resouces and is using hierarchal linear modeling techniques to analyze data. It will contribute to the knowledge base of what impacts student achievement by testing the efficacy of online professional development for science teachers.