The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

In this exercise, participants create a fictional business based on a set of randomly generated words. This challenge requires participants to exercise creativity, while reinforcing the business concepts learned in class. The exercise has four steps: (1) generating a prompt of three random words, (2) designing a fictional business based on this…

This manuscript describes how one entry-level occupational therapy doctoral (OTD) program used an innovative approach to scaffolding assignments through a cognitive apprenticeship (CA) framework. Cognitive apprenticeship strategies include learning in the context or culture of the profession. This is achieved through observation, coaching,…

When a Year 7 student physically reacted to a prompt of another student by anxiously drumming the desk with his ruler, exclaiming "uuuuhh", the initial thought of the observing researcher, Laura, was: "this is an interesting account". This started a reflective journey of first applying robust research methodologies to the…

The Arena activity is an in-class, experiential learning exercise that requires student teams to navigate and assist a blindfolded team member through a maze-like setting. The goal of the activity is to seek and find all of the team's assigned objects. However, only the blindfolded team member can collect these objects in The Arena. This activity…

Target language instruction in multilingual settings cannot ignore the linguistic diversity of both the learners and the society. Rather than ignoring the individual and societal multilingualism, leveraging them as resources in learning the target language can be beneficial. Developing such multilingual instruction is an organic, iterative process…

In this note, we report on an implementation of discovery-oriented problems in courses on Real Analysis and Differential Equations. We explain a type of task design that gives students the opportunity to conjecture, refute and prove. What is new is that the complexity in our problems is limited and thus the tasks can also be used in homework…

Nations of the world share concerns on many critical issues in such a way that communication and collaboration are important skills for the 21st century (Trilling and Fadel 2009). Hence, connecting global issues to the mathematics classroom is important. Through such learning experiences, students can appreciate that mathematics has a special…

We articulate a student perspective on task design in mathematics education, foregrounding a dynamic relationship between intentions of task designers, teachers, and students. First, we characterize a student perspective on task design. Second, we provide theoretical perspectives that we use as tools to account for different facets of task design…

Due to a range of different affordances, mobile technologies can be used pedagogically for language teaching and learning. However, the connection of technology to education needs to be grounded in theoretical frameworks and methodological principles. Task-based language teaching (TBLT), as an optimal approach to language teaching and learning,…

In this article, we present a set of design principles to guide the development of instructional materials aimed to support preservice secondary mathematics teachers (PSMTs) examining student practices in technology-mediated environments. To develop design principles, we drew on the literature related to technological pedagogical content knowledge…

This article offers a conceptual and analytical framework for understanding the 'understandings' generated through practitioner research, and specifically exploratory practice (EP), based on Aristotle's philosophy of knowledge. Drawing on Olav Eikeland's interpretation of Aristotle's philosophy of knowledge as a gnoseology, it illustrates how a…

This chapter illustrates how Continuing Professional Development (CPD) can be put into practice in the context of foreign language teacher education. After outlining the overall structure of the CPD framework developed in the proPIC project, five sessions are introduced in detail. They include: (1) Session 1: What is CPD?; (2) Session 2: CPD as…

This paper shows how Task-Based Learning (TBL) is used to equip second-year Spanish students at Cardiff University for their placements during their year abroad. We present a set of task-based projects embedded within the curriculum to enhance both (1) the competences students have to acquire throughout their degree, and (2) the skills to overcome…

Strict outcome-bound approaches and text-books-based instructional practices, prevalent in the pedagogy of most of the colleges and universities in English as an International Language (EIL) contexts, involve language activities, tasks, and tests that predominantly require one right answer or response. Pedagogical practices and related quality…