Spanish educational curriculum adopts a mathematical process-based approach, which encompasses problem solving, reasoning and proof, communication, connections and representation. A fundamental role in the integration of these processes in mathematics teaching is played by teachers' professional practice of designing tasks. According to this, our…

Mathematical modeling involves using mathematics to represent, analyze, and make predictions or decisions about real- world situations. Garfunkel and Montgomery (2016) elaborate on six components of the mathematical modeling process, including identifying the problem, making assumptions and identifying variables, doing the math, analyzing and…

In this article, we explore the power relationships and positioning that occurred between caregivers and teachers who engaged in mathematics tasks as a part of a year-long project involving workshops. Specifically, we explore the shifts in power and positioning that occurred when the tasks were grounded in the caregivers' funds of knowledge, in…

This study examined the opportunities that pair and small group interaction offer for collaborative dialogue and second language (L2) vocabulary learning. It compared the performance of the same collaborative writing task by learners working in groups of four (n = 60) and in pairs (n = 50), focusing on the occurrence of lexical language-related…

Tasks provide engaging ways to involve learners in meaningful, real-world activities with the foreign language (FL). Yet selecting classroom tasks suitable to learners' linguistic readiness is challenging, and task-based research is exploring the relationship between learners' overall abilities (e.g., reading, grammatical) and the complexity and…

Despite the frequency with which verbal reports are used in SLA to gather data on learners' cognitive processes (e.g., Bowles, 2003, 2004; Mackey, Gass, & McDonough, 2000; Rosa & Leow, 2004a, 2004b), only two studies (Bowles & Leow, 2005; Leow & Morgan-Short, 2004) have investigated verbal reports' reactivity (i.e., whether they alter cognitive…

This qualitative study provides preliminary insight into the role of the first language (L1) when pairs of intermediate-level college learners of French and Spanish are engaged in consciousness-raising, form-focused grammar tasks. Using conversation analysis of audiotaped interactions and stimulated recall sessions, we explored the ways students…