Disciplinary literacy involves reading, writing, speaking, listening, and thinking in the context of specific disciplines. Word sorts are a way for students to acquire and examine vital features of mathematics vocabulary as they process and organize new content-specific ideas. Addressing disciplinary literacy (i.e., literacy skills specific to…

Open tasks are mathematical problems "that promote mathematical reasoning and problem solving and allow multiple entry points and varied solution strategies" (National Council of Teachers of Mathematics [NCTM], 2014, p. 17). Open tasks can have more than one right answer, solution, or outcome. Facilitation of open tasks offers learning…

Traditional methods of teaching differentiation calculus usually involve lectures. Nevertheless, this process impedes students' thorough comprehension of concepts and their practical application by promoting dependence on memorisation and procedural learning. Numerous studies have also denoted that teaching experiments and technology can enhance…

This study explores how the use of learning analytics (LA) visualizations to eliciting examples tasks (EET) on the topic of functions can shape middle school mathematics teachers' formative assessment (FA) practices. Teachers' practices were examined when provided with LA visualizations, offering them an interactive analysis of their students'…

Even before the release of the National Council of Teachers of Mathematics (NCTM)'s Principles to Actions (2014), teachers paid significant attention to mathematics tasks based on their positive influence on student learning (Doyle, 1988; Kazemi, 1998; NCTM, 1989, 2000). Over the last almost quarter century, we have learned a lot about high-level…

Engagement in complex, challenging and multifaceted model-eliciting activities is considered helpful for preparing learners for everyday life. The current study seeks to trace the evolution of modelling routines during two model-eliciting activities. To identify how these routines emerged and evolved, we video-recorded a group of five prospective…

This article uses a cultural-developmental framework to illuminate the interplay between collective and individual activity in the mathematical reasoning displayed in a university Masters level lesson on fractals. During whole class and small group discussions, eleven students, guided by an instructor, engage in inductive reasoning about the area…

The development of modeling skills in mathematics is essential for individuals to understand, describe, control, and predict phenomena around them. This article describes the results of an investigation to find out how an activity -- based on a Models and Modeling Perspective -- stimulates the mathematics modeling skills of undergraduate students…

Due to the global pandemic, many traditionally face-to-face courses had to transfer to online teaching. We, like many others, were faced with the challenge of replicating online our purposefully-designed mathematics content courses for elementary teacher candidates (TCs). In doing so, our aim was to preserve our pedagogical commitments of…

The purpose of this article is to demonstrate how exponential functions and patterns can be taught by well-structured lessons composed of classroom activities, mathematical questions, discussions, and solving problems. Sawyer (1943) used a rope-and-post system to introduce the concept of logarithms and to calculate a product by adding the…

Definitions are foundational to reasoning about mathematics. Students need opportunities to engage in the practice of defining instead of simply being given definitions (Kobiela and Lehrer 2015). This presents a challenge regarding how definitions should be introduced, developed, and used as students discuss and make sense of mathematics. The…

Have you ever noticed trash collecting in streams or waterways? How does trash influence our environment, and what can be done to enact change? These are questions middle school students explored as the authors launched the Great Pacific Garbage Patch (GPGP) task. The Great Pacific Garbage Patch activity involves an urgent environmental issue that…

Classroom discourse is critical to helping students learn mathematics. Interacting with peers and the teacher within a classroom community assists students in building their understanding of mathematical concepts. A discourse community, sometimes referred to as a math-talk learning community, is "a classroom community in which the teacher and…

Four upper secondary school teachers in Iceland were asked to implement a silent video task, intended to support students' understanding of mathematical concepts, with their 17-18 years old students and to give feedback to the researcher developing the task. The task was challenging for teachers because it required them to make a short transition…

Mathematics classrooms in which students engage in argumentation constitute a favourable context to analyse how teachers recognize and incorporate student contingencies. Through exploratory case studies, we examined three mathematics lessons in which teachers support argumentation in contingent situations triggered by student errors. Teachers'…