In this article we review the research on the flexible or adaptive use of solution strategies in school mathematics, with a focus on the most recent work in the field. After a short introduction, we provide an overview of the various ways in which strategy flexibility has been conceptualized and investigated in the research literature. Then we…

Humanities educators are frequently frustrated by students' poor engagement in reading. The contemporary student experience is characterised by disruption and precarity. Similarly, is that of teachers who work in casual employment. This discussion is located within broader conversations around the neoliberal university, but aims to make more…

Given that early career elementary teachers face pressure to plan pedagogy that provides equitable opportunities to learn mathematics for understanding, it is important to consider their mathematics lesson planning practices. This study uses interview data to compare the planning practices of four early career teachers (ECTs) who consistently…

Using the sawtooth map as the basis of a coupled map lattice enables simple analytic results to be obtained for the global Lyapunov spectra of a number of standard lattice networks. The results presented can be used to enrich a course on chaos or dynamical systems by providing tractable examples of higher dimensional maps and links to a number of…

Education is a dynamic field that must be adaptable to sudden changes and disruptions caused by events like pandemics, war, and natural disasters related to climate change. When these events occur, traditional classrooms with traditional or blended delivery can shift to fully online learning, which requires an efficient learning environment that…

Adjusting the Calculus I curriculum by putting modelling and differential equations literally at its centre leads to a better-organised and better-motivated course. The biggest change is including a section on "qualitative" and "numerical" solutions to ordinary differential equations between the customary sections on…

This article presents a theoretical-didactic perspective on the formation and development of concepts concerning mathematical objects as a result of research on didactic difficulties in dealing with concepts in school. The theoretical foundation that supports the research is based on the contributions of the materialist approach to the theory of…

Combinatorial proofs of binomial identities involve establishing an identity by arguing that each side enumerates a certain set of outcomes. In this paper, we share results from interviews with experienced provers (mathematicians and upper-division undergraduate mathematics students) and examine one particular aspect of combinatorial proof, namely…

As students have struggled to use the "chip model" (i.e., red and yellow chips representing positive and negative numbers) to model integer addition and subtraction and have found it confusing, the authors developed a series of activities based on adding and removing opposite objects to and from a boat to better help students in this…

The purpose of this survey-based research study was to assess factors that higher education faculty identify as enabling and inhibiting their participation in the Scholarship of Teaching and Learning (SoTL) across multiple U.S-based institutions of higher education. Within the current "fourth wave" of SoTL, we identify the need for…

This study sought to investigate university mathematics teachers' perceptions on their general pedagogical knowledge (GPK) while teaching an applied mathematics course tailored for pre-engineering students at a public university in Ethiopia. Using a case study approach, data were collected through a Likert-scale questionnaire and semi-structured…

Traction is growing for personalized learning (PL) as an educational innovation that aims to provide learning experiences to meet diverse learning needs. However, little research has investigated how PL is positioned in professional standards that provide guidance on teacher education across content-specific disciplines and for diverse learner…

Collaborative writing tasks are common in multilingual university-level writing-intensive classes, but how multilingual language learners (MLLs) are socialized into this group work as a discursive practice is still poorly understood. This case study of adult MLLs in multilingual writing classes at a large public university provides insight into…

Mathematical flexibility is thought to be a critical component of mathematical proficiency, and the term "mathematical flexibility" has been used by teachers, researchers, and policy makers for more than 2 decades. Although there seems to be consensus on the importance of mathematical flexibility as a construct, the way it is defined and…

The cognitive theory of multimedia learning (Mayer, 2021, 2022), which seeks to explain how people learn academic material from words and graphics, has developed over the past four decades. Although the name and graphical representation of the theory have evolved over the years, the core ideas have been constant--dual channels (i.e., humans have…