In this book, Raymond Duval shows how his theory of registers of semiotic representation can be used as a tool to analyze the cognitive processes through which students develop mathematical thinking. To Duval, the analysis of mathematical knowledge is in its essence the analysis of the cognitive synergy between different kinds of semiotic representation registers, because the mathematical way of thinking and working is based on transformations of semiotic representations into others. Based on this assumption, he proposes the use of semiotics to identify and develop the specific cognitive processes required to the acquisition of mathematical knowledge. In this volume he presents a method to do so, addressing the following questions: • How to situate the registers of representation regarding the other semiotic “theories” • Why use a semio-cognitive analysis of the mathematical activity to teach mathematics • How to distinguish the different types of registers • How to organize learning tasks and activities which take into account the registers of representation • How to make an analysis of the students’ production in terms of registers Building upon the contributions he first presented in his classic book Sémiosis et pensée humaine, in this volume Duval focuses less on theoretical issues and more on how his theory can be used both as a tool for analysis and a working method to help mathematics teachers apply semiotics to their everyday work. He also dedicates a complete chapter to show how his theory can be applied as a new strategy to teach geometry. “Understanding the Mathematical Way of Thinking – The Registers of Semiotic Representations is an essential work for mathematics educators and mathematics teachers who look for an introduction to Raymond Duval’s cognitive theory of semiotic registers of representation, making it possible for them to see and teach mathematics with fresh eyes.” Professor Tânia M. M. Campos, PHD.

In Teachers as Learners, a collection of landmark essays, noted teacher educator and scholar Sharon Feiman-Nemser shines a light on teacher learning. Arguing that serious and sustained teacher learning is a necessary condition for ambitious student learning, she examines closely how teachers acquire, generate, and use knowledge about teaching over the trajectory of their careers. Together, these essays bear witness to the evolution and development of a body of scholarship about teacher learning in which the author herself played a catalyzing role.

The Routledge Handbook of Spanish Language Teaching: metodologías, contextos y recursos para la enseñanza del español L2, provides a comprehensive, state-of-the-art account of the main methodologies, contexts and resources in Spanish Language Teaching (SLT), a field that has experienced significant growth world-wide in recent decades and has consolidated as an autonomous discipline within Applied Linguistics. Written entirely in Spanish, the volume is the first handbook on Spanish Language Teaching to connect theories on language teaching with methodological and practical aspects from an international perspective. It brings together the most recent research and offers a broad, multifaceted view of the discipline. Features include: Forty-four chapters offering an interdisciplinary overview of SLT written by over sixty renowned experts from around the world; Five broad sections that combine theoretical and practical components: Methodology; Language Skills; Formal and Grammatical Aspects; Sociocultural Aspects; and Tools and Resources; In-depth reflections on the practical aspects of Hispanic Linguistics and Spanish Language Teaching to further engage with new theoretical ideas and to understand how to tackle classroom-related matters; A consistent inner structure for each chapter with theoretical aspects, methodological guidelines, practical considerations, and valuable references for further reading; An array of teaching techniques, reflection questions, language samples, design of activities, and methodological guidelines throughout the volume. The Routledge Handbook of Spanish Language Teaching contributes to enriching the field by being an essential reference work and study material for specialists, researchers, language practitioners, and current and future educators. The book will be equally useful for people interested in curriculum design and graduate students willing to acquire a complete and up-to-date view of the field with immediate applicability to the teaching of the language.