Modeling with mathematics (MP4) is a mathematical practice standard that can be used to engage students in mathematical content standards as well as additional mathematical practice standards. Research has shown the benefits of mathematical modeling (e.g., Aguirre et al., 2019; Cirillo et al., 2016a), but also the challenges teachers can face…

The COVID-19 pandemic has created an opportunity for K-12 schools to rethink and redesign instruction. The urgency to continue providing students with education accelerated the blend of face-to-face instruction and online learning in K-12 education. Blended learning is any formal education program that combines face-to-face instruction with online…

This study presents an opportunity to see how ECE teachers can create early learning math professional learning. Utilizing participatory design research methodologies and expansive learning theory as a frame, it offers valuable insight into what teachers value and want out of professional learning experiences as evidenced by the emerging design…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

Designing professional development (PD) that helps teachers enact more ambitious math instruction that is responsive to emergent student thinking is challenging work. Two approaches to this sort of PD, practice-based professional development and lesson study, have different mechanisms for fostering change and choose different focus points for…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

This is an empirical, ethnographic study about middle school students' mathematical joy in a formal math classroom. This study is situated in a year-long Research Practice Partnership with 6th grade mathematics teacher and 21 students in her 3rd block class. Through this collaboration, the teacher and I sought to design tasks to support students'…

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized…

Middle school is a transitional period in which many students experience content-specific teachers, travel between classrooms, and explore extracurricular activity options for the first time. Historically, African American middle school students have not fared well in Science, Technology, Engineering, and Mathematics (STEM) on standardized…

In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…

Struggle is a behavior that is often perceived in a negative light in education. Students respond to struggle by avoiding them. Likewise, educators respond by removing obstacles (e.g., heavily scaffolded instruction) or providing assistance prematurely. The ability and opportunity to engage in struggle, specifically productive struggle, is…

Since the 1960s, there has been an effort among the mathematical education community to shift instructional practices from a focus on arithmetic, memorizing rules, and completing practice worksheets to instructional practices that allow students to see mathematics as content that requires thinking and pattern explorations. Many mathematics…

The study examined the effects of a new game mechanic on collaborative learning and mathematical discourse when playing a digital geometry puzzle game. For this study, two new versions of the game "Noobs vs. Leets" were developed. Both versions of the game teach the concepts of complementary and supplementary angles and the angle sum…

Productively integrating technology is a vitally important part of teachers' practice (Barlow, 2021; Bezuk et al., 2017; NCTM, 2018). To adequately prepare Prospective Mathematics Teachers (PMTs) for the demands of teaching professionally, we need to understand more about how teachers and PMTs learn to integrate technology into their classroom.…