IMPACT (Interweaving Mathematics Pedagogy and Content for Teaching) is an exciting new series of texts for teacher education which aims to advance the learning and teaching of mathematics by integrating mathematics content with the broader research and theoretical base of mathematics education.The Learning and Teaching of Algebra provides a pedagogical framework for the teaching and learning of algebra grounded in theory and research.Areas covered include:• Algebra:...

Typically, most people don’t realize when and how they can use the mathematics they were taught in high school – yet many of the mathematical ideas and skills can be a powerful tool for understanding how the world works. Learning and Teaching for Mathematical Literacy addresses this situation, offering practical strategies for developing a broader vision of mathematical literacy in the classroom and recognising the importance of maintaining these skills into adult life. Linked to ...

A critical resource for anyone who wants to help women with the pressures, frustrations, and trauma they faceWomen today often have sources of tremendous pain in their lives such as infertility, divorce, domestic violence, eating disorders, and more. Yet, most leaders are not prepared to help women who have real pain from such traumatizing issues. If you want to be better equipped to help women in pain, this book was written for you.Designed to give leaders...

It argues that the main purpose of educational research is to improve student learning, and that international comparative studies are no exception.

In the heart of every equestrian beats a story of challenge, resilience, and profound transformation. "A Difficult Horse - A Tribute to the Horses That Changed Us" is a collection of these stories, a testament to the horses that began as challenges and became our greatest teachers. Crafted from the reflections of diverse equestrians, this book is more than just a compilation of tales; it's a journey through the trials and triumphs that bind us to these special animals.Each page is ...

This book presents the technique of visual logic thinking. The technique consists of separate consecutive parts, which as whole become "skeleton" for information processing with following topics: mnemonic technique of memorization of events and dialogues, visual analysis of events in space and time, visualization of semantic connections and taxonomical groups of abstract essences, estimation of probabilities, essences sorting, rules for work in mixes of disciplines, and also practical meth...

Every year, thousands of students go to university to study mathematics (single honours or combined with another subject). Many of these students are extremely intelligent and hardworking, but even the best will, at some point, struggle with the demands of making the transition to advanced mathematics. Some have difficulty adjusting to independent study and to learning from lectures. Other struggles, however, are more fundamental: the mathematics shifts in focus from calculation to proof, ...

Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriv...

Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious -- research has revealed many insights into the mathematical thinking required, and this book translates thes...

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...

How does human language work? How do we put ideas into words that others can understand? Can linguistics shed light on the way the brain operates? Foundations of Language puts linguistics back at the centre of the search to understand human consciousness. Ray Jackendoff begins by surveying the developments in linguistics over the years since Noam Chomsky's Aspects of the Theory of Syntax. He goes on to propose a radical re-conception of how the brain processes language. T...

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 ...