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…

Representations in chemistry are the tools by which students, instructors, and chemists reason with chemical concepts that are abstract. Although representations are regularly used within the chemistry classroom, there is more to uncover regarding the ways students interact with representations when given chemistry tasks. This study aimed to…

The purpose of this study is to investigate how students interpret expressions from calculus statements in the graphical register. To this end, I conducted 150-minute clinical interviews with 13 undergraduate mathematics students who had completed at least one calculus course. In the interviews, students evaluated six calculus statements for…

Little research has examined specific instructional variables that influence the development and effectiveness of task-analysis instruction. We conducted two experiments using text-based task analyses to teach college students to create single-subject reversal design graphs. In Experiment 1, we tested the effects of presenting antecedent and…

Designing and implementing purposefully developed tasks have been linked to students' understanding of mathematical topics. We report on design principles and intentions that guided the development of "inquiry-oriented tasks." Through a qualitative analysis of the tasks, we identified seven themes that encapsulated these design…

A growing consensus holds that preservice K-8 teachers (PSTs) need to experience the modeling process as learners to understand it and envision teaching modeling in their future classrooms. We examine this recommendation by exploring how PSTs construct models and how collaborative learning practices influence them in revising and refining their…

As language programs are endangered in K-16 contexts due to low enrollments, and for budgetary reasons, it is more important than ever to find enduring ways to help promote the study of languages and to make studying languages enjoyable for everyone. For sustainable language education, we need to focus on and promote the true purpose of…

The systematic design and analysis of tasks which can be implemented in first-year university courses and point to advanced inner- and extra-mathematically rich issues and their rationales is an open problem in the didactics of mathematics in higher education. Potentials of such tasks can be seen with regard to learning processes in the first year…

Exploring the underinvestigated area of instruction during study abroad, this article offers a quantitative study of linguistic development among second language university learners of Chinese during a semester in China. A comparison is made between learners following task-based language teaching and a comparison group following a traditional…

In this qualitative study, we examined how prospective mathematics teachers' instructional visions align with their instructional practices through an approximation of practice opportunity. Namely, we employed scripting tasks to understand how prospective teachers complete a scripting task and respond to students' misconceptions, and we compared…

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…

Introduction: Achievements of students in higher education are influenced by several factors. From the students' perspective a key factor is the motivation, without which it is extremely difficult to make any progress, and from the teachers' perspective the conservative methodological culture is primarily responsible for the fact that students are…

In this dissertation I explore instructors' work with instructional tasks as they plan to introduce various representations of derivatives. Drawing on the notion of "framing" from sociology, I adopt a situative lens to study calculus instructors' planning of instructional tasks. I rely on Herbst and Chazan's (2012) notion of…

Mathematics education researchers suggest that it is important for teachers to select mathematics tasks that align with their goals for students; however, this can be challenging as there are many facets of alignment to consider. In this article, I present a rubric that details the alignment between tasks and learning goals. This rubric was…

Previous research has investigated the Spatial Numerical Associations of Response Codes (SNARC) effect as a measure of spatial number coding in relation to mathematics (Cipora et al., 2020, https://doi-org.bibliotheek.ehb.be/10.1111/nyas.14355). An issue that arises if one wants to correlate mathematical performance with the SNARC effect, is how individual…