Mathematics curricula have traditionally focused on content knowledge, often in the form of a scope and sequence of increasingly difficult mathematics. The importance of using and applying mathematics is recognised in the current Australian Curriculum Mathematics (AC: M) as 'proficiencies' that are intended to be integrated with the content. There…

This reflective essay explores how the strengths and even presumed limitations of community-based participatory and action research are critical assets to building and sustaining resilient research partnerships before, during, and after particularly difficult times. After highlighting key concepts from the boundary-spanning and resiliency…

Students enter classrooms equipped with a rich foundation of skills and knowledge from their everyday experiences. High-quality science education builds on students' wealth of experience in making sense of the world. In science classrooms, "sensemaking" is a collaborative practice that includes students sharing initial ideas with peers…

This paper describes the adaptation of a flipped Biomedical Electronics course with laboratories to remote learning at the start of the COVID-19 pandemic. In class collaborative work on problem sets was replaced by group work (4-5 students) in Zoom breakout sessions. When the groups assembled at random for each class had sufficiently progressed on…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

We present a showcase of our experience with videos complementing analytical chemistry lectures to familiarize undergraduate students with instrumental element analysis. This includes a detailed account of how we planned, produced, and utilized a video to review the course content at the end of the semester. The analytical case study focused on…

This account of practice describes an online program started in 2022, which helps leaders at BNP Paribas to be more effective problem solvers and inclusive leaders by developing stronger questioning and listening skills. The goals of this program were aligned with action learning and could have been achieved with standard, coach-led action…

Over the past few years at Columbus State University, the learning support math faculty and director have focused on the importance of training academic coaches to effectively engage students in corequisite support math with key practices implemented in an emporium-based model for our corequisite support math labs. This model consists of…

Cross-disciplinary fields such as biotechnology require chemical engineers and non-engineers to routinely work together, thus creating a need for non-engineers to learn chemical engineering. But limited knowledge on non-engineers' learning preferences and the lack of pedagogical methods to teach non-engineers restricts the opportunities available…

This teaching brief describes an engaging, in-class exercise that introduces genetic algorithms as well as advanced Excel functions and capabilities by modeling the familiar Sudoku puzzle. Student groups are first asked to manually solve a given puzzle and then translate that solution methodology to a spreadsheet model. This exercise can be used…

In a first proof-oriented mathematics course, students will often ask questions--for example, "What is this problem asking me to do?" or "What would a proof of this even look like"--that have more to do with logic than mathematics. The logical structure of a proof is a dance involving those basic logical forms--such as "p…

These notes discuss several related problems in geometry that can be explored in a dynamic geometry environment. The problems involve an interesting property of hexagons.

This article explores teaching practices described in NCTM's Principles to Actions: Ensuring Mathematical Success for All. Common factors, common multiples, strip diagrams, and double number lines are discussed in this, the third installment in the series. [For the second installment in this series see "Connecting the Dots: Building…

The mathematics performance of students identified with emotional and behavioral disorders (EBD) is poor. Students identified with EBD require individualized instruction aligned with their unique academic and behavioral needs. One way that teachers can efficiently identify core mathematics deficits and provide individualized instruction is through…

In this brief article, Peter, Larissa and Doug present a single-page scaffold that challenges us to think of the mathematical proficiencies in a whole new way. By thinking of the proficiencies as verbs, they can be seen as purposeful learner actions and offer clues as to what it might mean to be a mathematician.