This paper describes our work to determine the naturalistic images that first-time second-semester university calculus students possess for series convergence. We found that the students we interviewed most frequently determined whether a series converged by imagining a process of appending summands into a running total and examining whether this…

Use of force by police are gaining deserved attention and scrutiny. Citizens wonder if police use of force is always proportional and necessary. Even though police organizations routinely train officers on proper use of force, how can the public know if use of force policies and training procedures adequately address use of force? With this…

The COVID-19 outbreak early 2020 has had a considerable impact on the global labor market. Many businesses closed down, constrained their working hours, reduced their staff, and/or limited their new recruitments. Many employees have been obliged to work remotely and interact digitally. Due to the pandemic, the unemployment rates have gone up to…

In this interview conducted at the NAMTA conference, "Observation: The Key to Unlocking the Child's Potential", Molly O'Shaughnessy discusses the history of observation with Hilla Patell. Patell shares stories of the people who were instrumental in creating a culture of observation as an ongoing discipline to be practiced. She goes on to…

Mathematics teacher education is faced with the challenge of preparing new teachers for ambitious instruction, but we have limited understandings of what happens within the courses where this preparation occurs. This paper draws on interview data from of a larger investigation of novices' enactment of ambitious instruction in elementary…

This poster session will describe a study that took place at a university in the United Arab Emirates. The study included a reading app that was downloaded onto each student's individual mobile device. Students could read while listening to the stories. The primary goal of the study was to determine how, if at all, listening while reading in a…

This paper discusses the process of analysing online discussion and argues for the merits of mixed methods. Much research of online participation and e-learning has been either message focused or person focused analysis. The former covers methodologies such as content and discourse analysis, the latter interviewing and surveys. The paper discusses…

Teachers of senior secondary mathematics are required to contend with a number of challenges including covering the prescribed curriculum, differentiating the content for a range of learners, and preparing students for externally imposed assessment tasks. The flipped classroom is gaining in popularity as an approach that can be used to address…

Question answering forums in online learning environments provide a valuable opportunity to gain insights as to what students are asking. Understanding frequently asked questions and topics on which questions are asked can help instructors in focusing on specific areas in the course content and correct students' confusions or misconceptions. An…

This article examines the impact of online synchronous tutorials on eight second language (L2) practitioners enrolled in a Master of Arts (MA) in Computer-Assisted Language Learning (CALL) L2 Curriculum Development and Evaluation module. The module is delivered asynchronously and synchronously (lecture). To accommodate immediate interaction to the…

We investigated teachers' responses to a common set of varied-potential instances of student mathematical thinking to better understand how a teacher can shape meaningful mathematical discourse. Teacher responses were coded using a scheme that both disentangles and coordinates the teacher move, who it is directed to, and the degree to which…

There is an identified and growing need for a levelled diagnostic basic facts assessment tool that provides teachers with formative information about students' mastery of a broad range of basic fact sets. The Individual Basic Facts Assessment tool has been iteratively and cumulatively developed, trialled, and refined with input from teachers and…

In this paper we propose a refinement of Michener's (1978) well-known example classification based on data from university mathematicians. The refinement takes into account the mathematician's perspective on the role of examples in doing mathematics. More specifically, our work provides insight into the ways in which mathematicians talk about…

This paper presents findings as part of a wider study that investigated the professional knowledge of teachers when teaching mathematics for numeracy in the primary school classroom. This paper focuses on teachers in action as they taught two lessons on multiplication. It outlines the specific pedagogical categories the teachers used and the…

The purpose of this paper is to share the evolution of a sociological framework to investigate the experience of teaching and learning music in relation to the Edward Said National Conservatory of Music in the occupied Palestinian territories. The primary foundation of the framework is Christopher Small's (1998) theory of musicking, supported by…