Mathematics education

Little thought is given to how equitable mathematics would better the lives of those marginalized, or how the increased inclusion of marginalized voices improves the practice of mathematics. The purpose of this narrative research is to explore students' voices and analyze aspects of math identity: the reported beliefs and practices of a group of elementary urban students who identify as Black/Brown.

Understanding voice through counter-narrative is a methodology for the equitable practice of teaching/learning mathematics. CRRP describes participants engaged in the metacognitive task of writing untold stories as it relates to their beliefs, practices, and experiences in mathematics learning. The findings offer meaningful and appropriate insights to math educators about student competency, belongingness, and agency.

Keywords: Black and Brown, marginalized students, student engagement, math identity, mathematical competence, sense of belonging to mathematics, mathematical agency, gateway, gatekeeper, fixed mindset, growth mindset, STEM pipeline, counter narrative.

Author Keywords: Black and Brown, marginalized students, mathematical competence, math identity, sense of belonging to mathematics, student engagement

This study investigates the potential for a responsive model of professional development in mathematics education which acknowledges how teachers perceive the value of professional learning, and examines how those perceptions are connected to teacher efficacy. Three fields of educational research ground this study: (i) professional development strategies in mathematics education, (ii) teacher efficacy, and (iii) self-determination theory and andragogy. Data collection and analysis involved four detailed case studies and a cross-case analysis of similarities and distinctions among the cases, in an instrumental-multiple-case study design. Results suggest: (1) some characteristics of professional development were consistently designated as high or low value, independent of efficacy ratings, (2) other professional learning experiences were valued relative to the participants' sense of efficacy at different times in their careers, and (3) characteristics of professional development designated as high value during periods of low efficacy were fundamentally teacher-centric, but during periods of high efficacy, they were fundamentally student-centric.

Author Keywords: efficacy, mathematics education, mathematics teachers, professional development, professional learning, teacher efficacy

This thesis reports the outcomes of a mixed methods exploratory study on young children's spatial reasoning and mathematics involving unplugged (offline) coding with young children (JK-Grade 2). Intrigued by the increased push for coding in schools, teachers and researchers worked together in a collaborative research process to design a sequence of unplugged coding activities and document student thinking. Qualitative results include the mapping of a hypothetical learning trajectory for unplugged coding focused on location and movement, as well as an analysis of the computational, spatial and mathematical thinking in unplugged coding. The grid was found to be a fundamental spatial structure that supported student thinking across all domains. Quantitative data included a range of spatial and mathematics measures that were administered pre-post with a subsample of 55 students. Findings showed strongest gains in mental rotations/visualization and magnitude comparison, suggesting this as a promising area for further study.

Author Keywords: Early Years, Learning Trajectories, Spatial Reasoning, Unplugged Coding, Young Children