Mathematics traditionally has been taught in a way that reifies the cultural belief that it is discrete in nature and, therefore, irrelevant to other content areas and the real world. National Council of Teachers of Mathematics, inclusive of mathematics teacher educators, views this belief as unproductive to learning and has stressed the need for…

Providing opportunities for students to talk directly with their peers is a critical dimension to facilitating discussions in mathematics and science, including argumentation-focused discussions in which students construct arguments and critique others' arguments. Research suggests that supporting student-to-student talk and facilitating…

To develop an equity-centered orientation in teacher education programs, it is essential to recognize what prospective teachers (PTs) attend to in classroom events and how they relate these events to mathematics instruction. We examined how race-gender intersections of a child (Black boy, Black girl, White boy, and White girl) in a written…

The purpose of this study was to explore how elementary preservice teachers (PSTs) responded to students' hypothetical misconceptions about volume measurement. We carried out both pre-assessments and follow-up interviews with 17 PSTs, with tasks focused on both volume content knowledge and hypothetical student responses to volume tasks.…

This study describes preservice teachers' beliefs about teaching mathematics for social justice (TMSJ) after experiencing a two-part professional development (PD) workshop on the subject. The research question is: To what degree does a PD experience, designed by a preservice teacher, influence preservice teachers' beliefs about TMSJ? The lead…

This qualitative study examines the information collected about applicants to mathematics or science teacher preparation programs (MSTPPs) and how university faculty perceive and value this information in admissions decisions. Based on document review and interviews with MSTPP faculty and admissions directors, we found that broad measures of…

Noticing is an essential skill for all teachers of mathematics. Mathematics teacher educators have utilized a variety of tools to practice and develop preservice teachers' (PSTs') ability to notice, which we extend to include photographs and learning trajectories. This article explores PSTs' noticing skills by analyzing work samples from a methods…

Although research demonstrates the key roles practical experiences play in teachers' learning to notice, few studies have examined teacher noticing in practical contexts. This study addresses the gap by exploring prospective science teachers' (PSTs) noticing in an authentic practical setting afforded through a school-based practicum associated…

Because of their brief nature, vignettes are a strategic way to highlight or explore complex instructional practices. Using a qualitative approach, we examined how the use of vignettes in a Vignette Activity Sequence contributed to secondary mathematics preservice teachers' understanding of the Mathematical Practices and the Mathematics Teaching…

Problem solving is a central focus of mathematics teaching and learning. If teachers are expected to support students' problem-solving development, then it reasons that teachers should also be able to solve problems aligned to grade level content standards. The purpose of this validation study is twofold: (1) to present evidence supporting the use…

Innovation is more imperative now than ever before given the upcoming shortage in prepared teachers and the need to produce students with a strong knowledge of mathematics. A sense of urgency is impacting teacher education/preparation programs as instructional practices need to discover how to arm teachers to increase the number of students to be…

The purpose of this study was to examine mathematics preservice teacher (PST) learning to notice for equity as they participated in an experimental, practice-based methods course. Activities intended to support PST learning included the use of equity-based lenses in video analysis, live lesson observations, and case study analysis. We analyzed…

The practice of teacher noticing students' mathematical thinking often includes three interrelated components: attending to students' strategies, interpreting students' understandings, and deciding how to respond on the basis of students' understanding. This practice gains complexity in technology-mediated environments (i.e., using…

Understanding large number data is essential for making sense of real-world problems. For the research reported here, our intent was to find connections between quantitative cognitive science studies and our prior qualitative study about participants' understanding of the relative size of large numbers. While all 23 cognitive science research…

This study investigated the effect of a STEAM (science, technology, engineering, arts, and mathematics) methods course on elementary preservice teachers' (PTs') perceptions of self-efficacy to teach engineering practices. The course positioned engineering as the primary content area from which to integrate other subjects. To enhance PTs'…