This qualitative study aimed to identify the changes in a prospective' conceptions about the nature of mathematical tasks and pedagogy in video cases and to investigate the characteristics of the prospective' professional knowledge and views during task design/modification. The study used the mathematical task demand engagement process, which…

It is well known that students benefit from opportunities to interpret and create different representations (e.g., diagrams, graphs, tables, symbols) of mathematical ideas. Employing Marton's Variation theory as a lens, I argue for an expansion of the use of multiple representations in task design for graphs: Incorporate two different forms of the…

Storytelling is a valuable form of human expression that allows audience members to connect their own experiences with the narrative. As a pedagogical tool, storytelling has been explored mainly in primary school education but rarely in higher education. However, its potential for assisting students in learning mathematics and the societal…

This paper explores use of a set of diagrammatic tools for representation and analysis of the moves a teacher makes implementing a mathematical modelling task. The focus here is on identifying what the teacher did so we can subsequently interrogate this, as to the why. Data include pre and post lesson teacher interviews and transcripts of a video…

Eye movement modeling examples (EMMEs) are instructional videos (e.g., tutorials) that visualize another person's gaze location while they demonstrate how to perform a task. This systematic literature review provides a detailed overview of studies on the effects of EMME to foster observers' performance and learning and highlights their differences…

This paper studies the knowledge developed by a group of sixty-two pre-service primary teachers during a training session on the definition of a polygon and the mathematical practice of defining. We explore the knowledge developed by pre-service teachers when they carry out a series of training tasks oriented around the practice of defining with…

Problems presented in mathematics classrooms often focus on routine tasks with students practicing mathematical techniques demonstrated by the teacher. However, this does not reflect the problem-solving process in the real world, and students often find it difficult to connect school mathematics with authentic contexts. This paper discusses…

This study assesses a range of task-based interaction (i.e. structured vs. unstructured tasks) between lower-English-proficiency middle school English as a foreign language (EFL) learners in a task-based learning (TBL) class employing conversation analytic methodology. From the video data, which allowed for an emic analysis of the students' vocal…

Background: When watching educational online videos, learners need to determine whether the videos' contents are suitable for learning. Whereas this may induce metacognitive monitoring processes, it may also distract learners from the learning materials. Objectives: In the current set of experiments, we investigated whether asking participants to…

Tasks involving real-world contexts offer opportunities for teachers to engage students in mathematical practices (Standards for Mathematical Practice; NGA Center and CCSSO 2010). The practice of reasoning abstractly and quantitatively requires students to decontextualize and contextualize a task. Decontextualizing a task involves representing it…

We present here the lessons learned by iteratively designing a tutorial for first-year university students using computer programming to work with mathematical models. Alternating between design and implementation, we used video-taped task interviews and classroom observations to ensure that the design promoted student understanding. The final…

Covariational reasoning and the creation and interpretation of graphs of covariational situations are important skills in math and science. Unfortunately, research shows that students often struggle to make meaningful connections between graphs and the covariational situations they represent. Educational activities designed to help students…

In order to verify our hypothesis that a certain trigger is necessary to facilitate L2 learners' communication strategy transfer to speak English, this study examined the effects of implicit and explicit cues on English utterances by Japanese speakers. Ten Japanese university students viewed a video of city-walking in New York or in Tokyo, and…

Digital video (DV) is widely used in education settings; however, few researchers have explored the neurocognitive underpinnings of DV tasks. Functional near-infrared spectroscopy (fNIRS) records neurological activity in real time, is robust to movement, and provides information about cognitive load and engagement levels during authentic learning…

Engaging preservice teachers in the analysis of videos of teaching has become a widely-used and highly-regarded approach within teacher preparation. This approach has become even more pronounced in the wake of COVID-19. Despite the myriad ways that video can support teacher preparation, uncertainties remain regarding how to design and facilitate…