If you want to know what anthropology is, look at what anthropologists do. This Very Short Introduction to Social and Cultural Anthropology combines an accessible account of some of the disciplines guiding principles and methodology with abundant examples and illustrations of anthropologists at work. Peter Just and John Monaghan begin by discussing anthropologys most important contributions to modern thought: its investigation of culture as a distinctively human character...

This book is for people who teach calculus – and especially for people who teach student teachers, who will in turn teach calculus. The calculus considered is elementary calculus of a single variable. The book interweaves ideas for teaching with calculus content and provides a reader-friendly overview of research on learning and teaching calculus along with questions on educational and mathematical discussion topics.Written by a group of international authors with extensive experie...

This book presents the main research veins developed within the framework of the Anthropological Theory of the Didactic (ATD), a paradigm that originated in French didactics of mathematics. While a great number of publications on ATD are available in French and Spanish, Working with the Anthropological Theory of the Didactic in Mathematics Education is the first directed at English-speaking international audiences.Written and edited by leading researchers in ATD, the book ...

This book is an exploration of tools and mathematics and issues in mathematics education related to tool use. The book has five parts. The first part reflects on doing a mathematical task with different tools, followed by a mathematician's account of tool use in his work. The second considers prehistory and history: tools in the development from ape to human; tools and mathematics in the ancient world; tools for calculating; and tools in mathematics instruction. The third part opens with a...

"If you want to know what anthropology is, look at what anthropologists do," write the authors of Social and Cultural Anthropology: A Very Short Introduction. This engaging overview of the field combines an accessible account of some of the discipline's guiding principles and methodology with abundant examples and illustrations of anthropologists at work.Peter Just and John Monaghan begin by discussing anthropology's most important contributions to modern thought: its inve...

There are many stories we can tell about the past, and we are not, perhaps, as free as we might imagine in our choice of which stories to tell, or where those stories end. John Arnold's addition to Oxford's popular Very Short Introductions series is a stimulating essay about how people study and understand history. The book begins by inviting us to think about various questions provoked by our investigation of history, and then explores the ways in which these questions have been answered ...

Here is the extraordinary story of the unfolding of life on Earth, told by Michael J. Benton, a world-renowned authority on biodiversity. Ranging over four billion years, Benton weaves together the latest findings on fossils, earth history, evolutionary biology, and many other fields to highlight the great leaps that enabled life to evolve from microbe to human—big breakthroughs that made whole new ways of life possible—including cell division and multicellularity, hard skeletons, the move...

How Humans Learn to Think Mathematically describes the development of mathematical thinking from the young child to the sophisticated adult. Professor David Tall reveals the reasons why mathematical concepts that make sense in one context may become problematic in another. For example, a child's experience of whole number arithmetic successively affects subsequent understanding of fractions, negative numbers, algebra, and the introduction of definitions and proof. Tall's explanations for t...

The standard rules of probability can be interpreted as uniquely valid principles in logic. In this book, E. T. Jaynes dispels the imaginary distinction between 'probability theory' and 'statistical inference', leaving a logical unity and simplicity, which provides greater technical power and flexibility in applications. This book goes beyond the conventional mathematics of probability theory, viewing the subject in a wider context. New results are discussed, along with applications of pro...

A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the applic...

This is Volume XXII of thirty-two on a series of Developmental Psychology. Originally published in 1958, this text offers a translation from French of an essay on the construction of formal operational structures to explain part of the growth of logic in a child's brain and development. It looks at propositional logic, the integration of formal thought and the operational schemata of formal logic.

Taking an informal approach, Hagle presents a review of the basic mathematical concepts that underlie most quantitative analysis in the social sciences. After an algebra review featuring sets and combinations, Hagle discusses limits and continuity. Calculus is presented next, with an introduction to differential calculus. Multivariate functions, partial derivatives and integral calculus are discussed; the author concludes with a discussion of matrix algebra. Aimed at readers who have taken...