Eric Knuth

This project aims to create and study an Equitable and Interactive Mathematical Modeling (EIM2) program that positions students as decision makers in their own learning. Despite the value of connecting students’ life experiences with their mathematical learning, the practical implementation of this strategy has proven challenging in a classroom setting. EIM2 addresses this issue by supporting students to engage in equitable mathematical modeling, a process of using mathematics to analyze and quantify scenarios through a lens of equity.

Geometry instruction offers unique opportunities for students to apply design thinking to authentic problems. This project supports teachers in designing and implementing lessons using a human-centered design (HCD) approach. Geometry teachers will participate in lesson study for two years to plan problem-based geometry lessons and to observe student thinking during those lessons. The project investigates how teachers learn about and apply a human-centered framework for teaching geometry.

This project aims to elaborate a structure for practice-oriented, collaborative professional development that increases the capacities for collaborative learning by facilitating teacher-to-teacher interactions within and across cultural contexts. By convening international groups of teachers to design lessons and provide and respond to commentaries on their lesson designs, the project introduces possibilities for surfacing and disrupting common experiences, assumptions, and norms in US mathematics teaching.

The purpose of this project is to further develop, refine, and evaluate a research-based STEM learning tool (i.e. block play) that tests theories of mathematical learning. The first objective is to empirically evaluate the impacts of different types of block play on children’s mathematics. The second objective is to evaluate the extent to which children’s mathematical language (spatial and quantitative), spatial skills, and executive function are mechanisms that link block play with children’s mathematical learning. Results from this study will contribute to the theoretical understanding of how and why block play may influence the development of early mathematics, a key component of STEM and school readiness, and will advance the research base about low-cost, feasible, and effective strategies for improving children's mathematics learning.

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.

This project establishes a statewide teacher-researcher alliance of mathematics teachers and teacher leaders in Idaho, who will work with teacher educators at two universities with expertise in professional development and school-based research. The research focuses on two research-based strategies for improving students’ mathematics achievement. The first, Explicit Attention to Concepts, draws students’ attention specifically to the meaning of mathematical ideas while making connections between different ways to represent the content. The second, Students’ Opportunities to Struggle, helps students make sense of graspable new concepts through supported problem solving with peers, highlighting ways to overcome confusion, stimulate personal sense-making, build perseverance, and promote openness to challenge.

In this project, the team will address questions about how collaborative problem solving, learning progressions, and facilitation interact in the development of students’ mathematical learning. The work affords an opportunity to advance equitable access to high-quality education for all students by enhancing the quality of instruction for students lacking opportunities to learn key concepts of mathematics because of the inequitable structures of education in the country.

Through this project, the North Carolina State University Data Science Academy will identify the key success components of a model for the recruitment and mentoring of a diverse cohort of postdoctoral fellows who will enter their professions with expertise in data science education research. This model is intended to train and support scholars who have differing levels of experience and strengths in STEM, STEM education, education research, or data science.

In this project, we examine middle-school students’ understandings of coordinate systems and frames of reference prior to examining their graph construction and interpretation. This focus allows us to design instructional materials that can support students’ graphing understandings in ways that avoid or mitigate how persistent challenges in students’ graphing understandings identified in the research literature.

In this project, we examine middle-school students’ understandings of coordinate systems and frames of reference prior to examining their graph construction and interpretation. This focus allows us to design instructional materials that can support students’ graphing understandings in ways that avoid or mitigate how persistent challenges in students’ graphing understandings identified in the research literature.

This project seeks to develop a personalized, scalable PD approach that centers on and builds from algebra teachers’ practices and individual strengths. The project will focus its PD efforts on instructional actions that are tailored to teachers' existing practice, can be readily adopted, and are easily accessible.

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.

This project aims to support teachers to engage their students in mathematical problem posing (problem-posing-based learning, or P-PBL). P-PBL is a powerful approach to the teaching and learning of mathematics, and provides students with opportunities to engage in authentic mathematical practices.

In this project researchers are implementing and studying a research-based curriculum that was designed to help children in grades 3-5 prepare for learning algebra at the middle school level. Researchers are investigating the impact of a long-term, comprehensive early algebra experience on students as they proceed from third grade to sixth grade. Researchers are working to build a learning progression that describes how algebraic concepts develop and mature from early grades through high school.

This research project is an investigation of the role that examples play in helping learners become proficient in proving mathematical conjectures. Researchers are building a framework that characterizes the development of example use as students advance from middle school into post secondary school. Using this developmental information, the researchers are creating instructional strategies that help students think about the nature and value of proof as well as how to construct a mathematical proof.