This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhausti...

When first published posthumously in 1963, this bookpresented a radically different approach to the teaching of calculus. In sharp contrast to the methods of his time, Otto Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of the history of mathematics and presented calculus as an organic evolution of ideas beginning with the discoveries of Greek scholars, such as Archimedes, Pythagoras, and Euclid, and developing ...

Encompassing a broad range of forms and sources of data, this textbook introduces data systems through a progressive presentation. Introduction to Data Systems covers data acquisition starting with local files, then progresses to data acquired from relational databases, from REST APIs and through web scraping. It teaches data forms/formats from tidy data to relationally defined sets of tables to hierarchical structure like XML and JSON using data models to convey the structure, op...

Noam Chomsky is one of the most influential thinkers of our time, yet his views are often misunderstood. In this previously unpublished series of interviews, Chomsky discusses his iconoclastic and important ideas concerning language, human nature and politics. In dialogue with James McGilvray, Professor of Philosophy at McGill University, Chomsky takes up a wide variety of topics – the nature of language, the philosophies of language and mind, morality and universality, science and common ...

Those aspects of language use that are crucial to an understanding of language as a system, and especially to an understanding of meaning, are the acknowledged concern of linguistic pragmatics. This textbook provides a lucid and integrative analysis of the central topics in pragmatics - deixis, implicature, presupposition, speech acts, and conversational structure. A central concern of the book is the relation between pragmatics and semantics, and Dr Levinson shows clearly how a pragmatic ...

Syntax – the study of sentence structure – has been at the centre of generative linguistics from its inception and has developed rapidly and in various directions. The Cambridge Handbook of Generative Syntax provides a historical context for what is happening in the field of generative syntax today, a survey of the various generative approaches to syntactic structure available in the literature and an overview of the state of the art in the principal modules of the theory and the interface...

The Handbook of Phonological Theory, second edition offers an innovative and detailed examination of recent developments in phonology, and the implications of these within linguistic theory and related disciplines.Revised from the ground-up for the second edition, the book is comprised almost entirely of newly-written and previously unpublished chaptersAddresses the important questions in the field including learnability, phonological interfaces, tone, and ...

This book examines the kinds of transitions that have been studied in mathematics education research. It defines transition as a process of change, and describes learning in an educational context as a transition process. The book focuses on research in the area of mathematics education, and starts out with a literature review, describing the epistemological, cognitive, institutional and sociocultural perspectives on transition. It then looks at the research questions posed in the studies ...

An account of the development of research and thinking in the field of learner language. Draws on wide-ranging research into contrastive analysis, bilingualism, theoretical linguistics and experimental psychology.

The Oxford Handbook of Cognitive Linguistics presents a comprehensive overview of the main theoretical concepts and descriptive/theoretical models of Cognitive Linguistics, and covers its various subfields, theoretical as well as applied. The first twenty chapters give readers the opportunity to acquire a thorough knowledge of the fundamental analytic concepts and descriptive models of Cognitive Linguistics and their background. The book starts with a set of chapters discussing di...

Code-switching – the alternating use of two languages in the same stretch of discourse by a bilingual speaker – is a dominant topic in the study of bilingualism and a phenomenon that generates a great deal of pointed discussion in the public domain. This handbook provides the most comprehensive guide to this bilingual phenomenon to date. Drawing on empirical data from a wide range of language pairings, the leading researchers in the study of bilingualism examine the linguistic, social and ...

Philosophy of Linguistics investigates the foundational concepts and methods of linguistics, the scientific study of human language. This groundbreaking collection, the most thorough treatment of the philosophy of linguistics ever published, brings together philosophers, scientists and historians to map out both the foundational assumptions set during the second half of the last century and the unfolding shifts in perspective in which more functionalist perspectives are explored. The openi...