Search for: All records

Although culturally responsive mathematics teaching is important, post-secondary education for preservice teachers (PTs) does not typically lead to learning opportunities for them to use mathematics to recognize the roles of social agents. To address this issue, we created a culturally responsive mathematical modeling task in which we invited PTs to use diverse approaches to create an action plan for the handling of local pothole data and maintenance. This study explores the approaches that PTs take when generating solutions to solve a culturally responsive mathematical modeling task and to investigate the perceptions of preservice teachers towards the task. The study involved 41 PTs, most of whom had no prior experience with mathematical modeling before participating in the task. PTs compared and inspected the documented data and noticed problems, such as a large economic disparity in the city. The PTs drafted solutions and shared their findings and suggestions in a proposal to the City’s Public Works Department. The proposals reflected different approaches, which helped the PTs understand the large income disparity and inequities certain neighborhoods in the city experience and provided recommendations for the city to address these issues. The creation of a culturally responsive mathematical modeling task provided an opportunity for PTs to engage in critical thinking and problem-solving while using diverse approaches to address a local social justice issue. This study provides insights into effective strategies for promoting socially responsible mathematics education in teacher preparation programs. 

It has become well-established that strong outer radiation belt enhancements are due to wave-driven electron energization by whistler-mode chorus waves. However, in this study, we examine strong MeV electron injections on 10 July 2019 and find substantial evidence that such injections may be a crucial contributor to outer radiation belt enhancement events. For such an examination, it is essential to precisely separate temporal flux changes from spatial variations observed as Van Allen Probes move along their orbits. Employing a new “hourly snapshot” analysis approach, we discover unprecedented details of electron flux evolutions that suggest that for this event, the outer belt enhancement was not continuous but instead intermittent, mostly composed of 4 large discrete injection-driven flux increases. The injections appear as sharp flux increases when observed near apogee. Otherwise, by comparing hourly snapshots for different times, we infer injections and infer temporally stable fluxes between injections, despite strong and continuous chorus emission. The fast and intermittent electron flux growth successively extending earthwards implies cumulative outer belt enhancement via a series of repetitive inward transport associated with injection-induced electric fields.