This paper reports on a key representation, a triple number line, designed as part of the first author's doctoral study. The study sought ways to represent multiple constructs of fractions in the context of merging music and mathematics to support learners' understanding of fractions. A problem scenario was designed guided by Realistic Mathematics…

Equitable and accessible classrooms should engage all learners with mathematics content in meaningful ways. However, practicing teachers need support from professional development (PD) to learn to teach with this ambitious vision. Informed by sociocultural theory, we employed an evaluative case study methodology to describe, explain, and assess…

The central aim of the EMIC Working Group is to connect, engage, and inspire colleagues in this growing community of discourse around theoretical, technological, and methodological developments for advancing the study of embodied cognition for mathematics education. This year, our fifth at PME-NA, we also will convene on Day 3 with the WG on…

We report on an effort to vet a list of 10 student learning objectives (SLOs) for geometry courses taken by prospective geometry teachers. Members of a faculty online learning community, including mathematicians and mathematics educators who teach college geometry courses taken by prospective secondary teachers developed this list in an effort to…

What mathematics is and how to teach it are questions that mathematics educators constantly confront. A challenge identified in mathematics education is supporting students to see mathematics as normal human activity. Mathematics educators' viewpoints of mathematics determine whether they can recognize and exploit learning opportunities for…

This brief research report examines the discursive shifts of a secondary mathematics teacher participating in a collaborative learning community centered on culturally responsive mathematics teaching. We draw on two frameworks to analyze the teacher's discursive moves. The first framework comes from Lefstein et al. (2020) on generative discourse…

This study investigated student perceived shared-metacognition--self-regulation and co-regulation--as explained by three teaching presence sub-elements--"Instructional Design, Direct Instruction, and Facilitation"--in an online case-based course. 113 online graduate students enrolled in an advanced instructional design course…

This paper explores how a professional learning community (PLC) redesigns high school mathematics lessons towards a shared commitment. We describe the nature of a PLC's collective curricular vision to illuminate how teachers can come to new understandings as a group in order to shift the ways students experience mathematics. Using the curricular…

This report is about how a group of U.S. teachers (N = 98) and researchers used a boundary object in a collective study of grades 6-8 mathematics instruction. The focus is the teachers' engagement with a framework for effective instructional practices. Using qualitative content analysis of teachers' responses to use of the framework, we assessed…

This paper is about an instructor in a university teacher program aiming at improving the students' ability for noticing in order to guide subsequent decision-making and actions in teaching. Whereas added awareness may come naturally to some people, others need to develop a habit and a way to identify important aspects. University students tend to…

This study focuses on pre-service teachers' experimentation with a game-modding process in a constructionist setting whilst they experimented with randomness embedded in wider socio-scientific issues that call for decision making under uncertainty. In this process, participants created 39 different game mods. Our observations of the participants…

School Mathematics Leaders seek to improve the mathematical learning outcomes of the students in their schools. Recognising that improved learning is dependent on high quality teaching, leaders are often keen to support teachers' knowledge of mathematics content and pedagogy. This paper reports ways in which School Mathematics Leaders support and…

History tells the Civil Rights struggle through the lens of Selma, Alabama. Bloody Sunday, an event that galvanized a generation, provided the background for an interdisciplinary team of scholars, educators, local historians, and community members to focus on place-based learning experiences and explore civil rights education. The Selma event is…

Professional collaboration among teachers from different schools is generally recognised as a conduit for teachers to improve their practice. This paper presents findings from a study to investigate the impact of teachers' participation in a mathematics networked learning community (NLC) on classroom practices. Using a pretest-posttest…

This paper examines a social design-based approach to supporting beginning elementary school teachers toward ambitious and equitable mathematics teaching. First-year teachers were enlisted as co-designers of a learning community aimed at supporting participants to build classroom math communities that leverage students' diverse mathematical…