Projects

The aim of this project is to explore the hypothesis that a curricular focus on quantitative reasoning in middle grades mathematics can enhance development of student skill and understanding about mathematical proof. The project is addressing that hypothesis through a series of studies that include small group teaching experiments with students, professional development work with teachers, and classroom field tests of curricular units that connect quantitative reasoning and proof in algebra.

This project will design opportunities for mathematics and science teachers to coordinate their instruction to support a more coherent approach to teaching statistical model-based inference in middle school. It will prepare teachers to help more students develop a deeper understanding of ideas and practices related to measurement, data, variability, and inference and to use these tools to generate knowledge about the natural world.

Doing science requires that students learn to create evidence-based arguments (EBAs), defined as claims connected to supporting evidence via premises. In this CAREER project, I investigate how argumentation ability can be enhanced among middle school students. The project entails theoretical work, instructional design, and empirical work, and involves 3 middle schools in northern Utah and southern Idaho.

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 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.

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.

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.

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 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 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 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.

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.

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.

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.

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.

This project aims to develop the knowledge to teach reasoning and proving with secondary teacher candidates, and to follow them into they first years of independent practice to better understand how they are using that knowledge.  The goals of the project are to better understand how beginning teachers' knowledge, dispositions, and proof-related practices evolve over time, and how the sociocultural context and support structures of the schools teachers are in influences their teaching of reasoning and proving.

The project will examine how teachers reason about variation subsequent to focused instruction and contribute knowledge to in-service middle and secondary mathematics teacher education by targeting characteristics of professional development that might support teachers' reasoning about variation in increasingly sophisticated ways. The project will produce a coherent collection of shareable instructional materials for use in introductory statistics education and teacher education in statistics.

The proposed project initiates new research and an integrated education plan to address specific problems in middle school mathematics classrooms by investigating (1) how to effectively differentiate instruction for middle school students at different reasoning levels; and (2) how to foster middle school students' algebraic reasoning and rational number knowledge in mutually supportive ways.

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. 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.

This project advances the understanding of teaching and learning of algebra in grades 6 through 12 by using a methodology that leverages the cumulative power of an analysis of many studies on a topic. This work will synthesize results aggregated from 40 years of research in the field of mathematics education and develop a unified framework to inform parents, students, teachers, other educators, and researchers.

This project is documenting how students with learning disabilities (LD) access and advance their conceptual understanding of fractions.  Rather than focusing on the knowledge students do not have, this work is focused on uncovering students' informal knowledge that can bridge to fractions and how instruction can be used to promote conceptual change. 

This CAREER project explores interrelated research questions: (1) What understandings of variability can provide conceptual support for the scheme of ideas that underlie statistical inference--making claims about a population on the basis of samples? (2) What conceptions about variability do students bring to study of data analysis and statistical reasoning in middle grades? (3) How can instruction support students in coming to develop understanding and skill in reasoning about variability?

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.

Research increasingly provides insights into the magnitude of mathematics teacher turnover, but has identified only a limited number of factors that influence teachers' career decisions and often fails to capture the complexity of the teacher labor market. This project will address these issues, building evidence-based theories of ways to improve the quality and equity of the distribution of the mathematics teaching workforce. 

This project will address the need to educate teachers and students to engage in asking questions, collecting and interpreting data, making claims, and constructing explanations about real-world problems that matter to them. The study will explore ways to enhance youths' learning experiences in secondary school classrooms (grades 6-12) by building a sustainable partnership between researchers and practitioners.