To ensure the learning of mathematics, teachers must be able to analyse their students' mathematical practices when solving tasks, interpret the difficulties that students encounter, and decide how to manage students' difficulties. This competence in didactic analysis and intervention allows teachers to adapt their teaching to meet individual…

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…

Students often show difficulties in understanding rational numbers. Often, these are related to the natural number bias, that is, the tendency to apply the properties of natural numbers to rational number tasks. Although this phenomenon has received a lot of research interest over the last two decades, research on the existence of qualitatively…

This is the first edited volume dedicated to both teachers and learners of second/foreign language (L2) pragmatics. It comprises a collection of studies that explore how teachers background and practices, and individual learners differences contribute to the teaching and learning of L2 pragmatics. Also included are chapters that present…

The study discusses the online teaching and learning of Arabic in order to evaluate students' difficulties and the way in which to approach this language in an interactive way, overcoming the barriers of computer screens. Nevertheless, e-learning is the future of education and it is crucial to offer a quality education, implementing emotional…

In this study, the process of design, implementation, evaluation, and redesign of a Teaching-Learning Sequence (TLS) on simple machines for students of 9-12 years old is shown according to the principles of Design Based Research. The aim is to create a TLS that satisfactorily addresses the conceptual difficulties inherent to the object of study…

Observing the teaching-learning situations that arise in educational contexts is a key part of teacher education. The present study examined how forty-three future teachers constructed their professional knowledge. Adopting a qualitative approach, we discuss the teaching situations observed by pre-service teachers in the subjects of…

The importance of students being acquainted with algebraic ideas before secondary education has been revealed in the research literature. It is therefore essential that prospective elementary teachers (PTs) be prepared to instill an early algebra perspective in their teaching. However, PTs often show difficulties in algebra content knowledge,…

Purpose: Research on EMI (English-Medium Instruction) has addressed the extent to which content lecturers speaking in their L1 perform as well as when they lecture in English. In this study a lecturer who gave the same lecture in his L1 (Catalan) and English was observed to examine if and how transitioning from one language to another impacts his…

This study set out to test the theoretical premise of the SSARC model of pedagogic task sequencing, which postulates that tasks should be sequenced for learners from cognitively simple to complex. This experiment compared the performance of three tasks differing in cognitive complexity in a simple-complex sequence versus in the absence of any…

Introduction: Writing is a tool for constructing and modifying knowledge. However, it is not easy to evaluate spontaneous writing tasks. In the present study, we selected and analysed a series of quality indicators to assess spontaneous or productive writing, examining the level of difficulty of the indicators and the relationship between the…

Many people in Spain are studying English in order to find jobs in this country or to migrate as a result of the economic crisis. Language classes, however, are limited in duration and are often not enough to enable students to progress as much as they would like to. Language learners have to spend a considerable amount of time out of class…

Previous studies have indicated that A-level students in the UK and Singapore have difficulty learning the topic of ionisation energy. A two-tier multiple-choice instrument developed in Singapore in an earlier study, the Ionisation Energy Diagnostic Instrument, was administered to A-level students in the UK, advanced placement high school students…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…