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 focuses on how children learn to reason about three aspects of complex causality; probabilistic causation; action at a distance; and distributed causality;and how to best support the development of this reasoning in classrooms. Through microgenetic study across the school year with small numbers of students in grades K-6, the study will characterize children's reasoning at different ages and how it shifts over time and with different learning supports.
The main goal of this mathematics education research project is to determine through experimentation specific teaching strategies that can be used to support middle school students in drawing connections between mathematical representations (fractions and ratios). The potential instructional strategies were identified from the Third International Mathematics and Science Study (TIMSS) video analyses study as the ones that best distinguished high performing countries from low performing countries.
Research has shown that engaging students, including students from underrepresented groups, in appropriately structured reasoning activities, including argumentation, may lead to enhanced learning. This project will provide information about how teachers learn to support collective argumentation and will allow for the development of professional development materials for prospective and practicing teachers that will enhance their support for productive collective argumentation.
Most students learn about negative numbers long after they have learned about positive numbers, and they have little time or opportunity to build on their prior understanding by contrasting the two concepts. The purpose of this CAREER project is to identify language factors and instructional sequences that contribute to improving elementary students' understanding of addition and subtraction problems involving negative integers.
This project will investigate the potential benefits of interactive, dynamic visualization technologies in supporting science learning for middle school students, including ELLs. This project will identify design principles for developing such technology, develop additional ways to support student learning, and provide guidelines for professional development that can assist teachers in better serving linguistically diverse students. The project has the potential to transform traditional science instruction for all students, and to broaden their participation in science.
This study is investigating the classroom factors and teacher characteristics that contribute to Latino English Language Learners' (ELL) gains in mathematics learning in the eighth grade. In addition to looking for key characteristics that influence mathematics learning, the researchers are measuring teachers' knowledge of mathematics for teaching, quality of instruction, and knowledge about English learners.
The purpose of this project is to examine the process by which math language instruction improves learning of mathematics skills in order to design and translate the most effective interventions into practical classroom instruction.
This project will develop a comprehensive framework to inform and guide the analytic design of teacher professional development studies in mathematics. An essential goal of the research is to advance a science of teaching and learning in ways that traverse both research and education.
This project investigates the outcomes of a teacher education model designed to foster prospective mathematics teachers' abilities to notice and capitalize on important mathematical moments in instruction. The project engages prospective teachers in research-like analysis of unedited teacher-perspective classroom video early in their teacher education coursework in order to help them learn to identify, assess the mathematical potential of, and respond to important student ideas and insights that arise during instruction.
This project will develop and study a professional development framework that is designed to help high school geometry teachers attend more carefully to student prior knowledge, interpret the learning implications of student prior knowledge, and adjust teaching practices accordingly. Participating teachers will participate in study groups that analyze animations of productive teaching practices; they will collaborate in planning, implementing, and analyzing geometry lessons; and they will critique videos of their own classroom instruction.
This project team partners with the mathematics department of one urban public charter high school that serves 65% students of color (most of whom identify as African American). At the school, 70% of all students qualify for free or reduced lunch, and 25% of the students have Individualized Education Plans. This project investigates: 1) how mathematics teachers learn to teach the mathematics content through investigation of relevant social issues, 2) how teachers negotiate classroom dilemmas related to this approach, and 3) how students feel about mathematics and their ability to enact change toward an equitable society.
Promoting equity-focused mathematics education requires models that will prepare and support mathematics pre-service teachers (PSTs) who will question existing norms and advocate for all their students. This project will develop a model of support for middle and high school mathematics PSTs to support them in becoming critical mathematics teachers (CMTs), teachers who address the needs of diverse students, are mindful of achievement disparities, and aware of their own biases. The main objective of the project is to develop a cohesive system of support for middle and high school PSTs to become CMTs.
This project focuses on fostering equitable and inclusive STEM contexts with attention to documenting and reducing adolescents' experiences of harassment, bias, prejudice and stereotyping. This research will contribute to understanding of the current STEM educational climates in high schools and will help to identify factors that promote resilience in the STEM contexts, documenting how K-12 educators can structure their classrooms and schools to foster success of all students in STEM classes.
This project will explore how to promote students’ curiosity as a way of supporting science learning. The project will study how curiosity develops, the ways that classroom learning experiences influence curiosity, and how curiosity can be taught so as to support STEM learning. It will include a series of lab experiments and classroom-based studies with 2nd grade students.
This project will develop an intervention to support the teaching and learning of proof in the context of geometry. This study takes as its premise that if we introduce proof, by first teaching students particular sub-goals of proof, such as how to draw a conclusion from a given statement and a definition, then students will be more successful with constructing proofs on their own.
The goal of this project is to extend the theoretical and methodological construct of noticing to develop the concept of reciprocal noticing, a process by which teacher and student noticing are shared. The researcher argues that through reciprocal noticing the classroom can become the space for more equitable mathematics learning, particularly for language learners.
This project examines middle school students’ graph literacy from an asset-based perspective, documenting the ways in which students think about graphs (i.e., their cognitive strategies and intuitive insights), and the ways in which instruction can build upon that thinking in order to support the development of graph literacy. Drawing from students’ graphical representations of real-life contexts (e.g., population growth) that span various mathematical domains, this program of research will develop a holistic theoretical framework that can inform mathematics instruction in multiple content areas.
The development of six curricular projects that integrate mathematics based on the Common Core Mathematics Standards with science concepts from the Next Generation Science Standards combined with an engineering design pedagogy is the focus of this CAREER project.
Online STEM credit courses have become attractive to school leaders as a way to support students who fail STEM courses in face-to-face school year settings. However, there is little research about the processes involved in how schools make decisions regarding student credit recovery. The available research focuses solely on student results and is not definitive enough to support important policy decisions at the district level. This research brings redress to this policy dilemma.
This five-year participatory research project follows students from transitional kindergarten to third grade to understand whether and how Number Talks (i.e., ten-to-fifteen-minute math discussions where students mentally solve mathematics problems and then come together as a class to share their mathematical reasoning) can empower students to develop productive mathematical identities while strengthening their number sense. As part of this work, grade level teams of teachers will investigate how to leverage the knowledge, skills, and resources students bring with them to mathematics class in order to spark productive mathematical identity development.
This project will study the effect of integrating computing into preservice teacher programs. The project will use design-based research to explore how to connect computing concepts and integration activities to teachers' subject area knowledge and teaching practice, and which computing concepts are most valuable for general computational literacy.
The project at Spelman College includes activities that develop computational thinking and encourage middle school, African-American girls to consider careers in computer science. Over a three-year period, the girls attend summer camp sessions of two weeks where they learn to design interactive games. Experts in Computational Algorithmic Thinking as well as undergraduate, computer science majors at Spelman College guide the middle-school students in their design of games and exploration of related STEM careers.
The goal of this study is to improve elementary science teaching and learning by developing, testing, and refining a framework and set of tools for strategically incorporating forms of uncertainty central to scientists' sense-making into students' empirical learning.
Preschool and kindergarten-aged children are still developing the skills needed to reflect on and manage their own thinking, a process often referred to as metacognition. Without strategic support from their teachers, young children may struggle to make sense of inquiry-based science activities and possibly form enduring misconceptions that may hamper future science learning. Yet, many teachers are unfamiliar with the metacognitive processes or how to intentionally facilitate their development. This project explores both how to improve early childhood teachers' understanding of metacognition and develop strategies to guide teachers in using language and feedback to more effectively support emerging metacognition and science learning in young children.