How can KS1/2 teachers improve their mathematics teaching? This book helps readers to become better, more confident teachers of mathematics by enabling them to focus critically on what they know and what they do in the classroom. Building on their close observation of primary mathematics classrooms, the authors provide those starting out in the teaching profession with a four-stage framework which acts as a tool of support for developing their teaching:- making sense of foundation ...

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, ...

How humans produce and understand language is clearly introduced in this textbook for students with only a basic knowledge of linguistics. With a logical, flexible structure Introducing Psycholinguistics steps through the central topics of production and comprehension of language and the interaction between them. Students will gain an understanding of the processes and representations involved in language use, aided by a comprehensive glossary, concepts defined in the margins and online fl...

We all learn to read at school, after a fashion. But for most of us, this is not an optimal use of our brain power. In this course you will learn to better use the left brain's focused attention combined with the right brain's peripheral attention, in close harmony. Good communication between the brain hemispheres is a pre-requisite for creative thinking and also a sense of wellbeing, where thoughts and feelings are integrated. As you probably expect, this course will also teach you to rea...

Covering thinkers from Aristotle to Saussure and Chomsky, "Introducing Linguistics" reveals the rules and beauty that underlie language, our most human skill.

An expert guide to how conversation works, from how we know when to speak to why huh is a universal wordWe all had teachers who scolded us over the use of um, uh-huh, oh, like, and mm-hmm. But as linguist N. J. Enfield reveals in How We Talk, these "bad words" are fundamental to language.Whether we are speaking with the clerk at the store, our boss, or our spouse, language is dependent on things as comm...

Funforms is a new math symbol system. Unlike Roman Numerals, it is iconic and ideographic. It makes the continuity between whole numbers and fractions easily understood. It is a binary tally mark place order system. It is a math second language, giving the learner the opportunity to review what s/he learned before s/he had fully developed critical thinking skills. Try it, you'll like it!

This important course provides a comprehensive basic introduction to teaching languages, for use in pre-service or early experience settings. It can be used by groups of teachers working with a trainer, or as a self-study resource. The Trainee's Book provides all the tasks given in the main book but without background information, bibliographies, notes or solutions. It is suitable for those studying on a trainer-led course, where feedback is readily available.

Fully updated to reflect the new curriculum, the revised edition of Transforming Primary Mathematics sets out key theories and cutting-edge research in the field to enable teachers to take a fresh look at how they teach mathematics.The book encourages teachers to reflect on their own beliefs and values about mathematics, and asks them to question whether their current methods meet the needs of all learners, and the challenge of having high expectations for all. It provides...

Early Mathematical Explorations shows readers how to provide young children with rich mathematical learning environments and experiences. This book presents teachers with a sound theoretical framework to encourage children to become numerate in the twenty-first century. It shows that mathematical learning can occur in a variety of ways, including when children explore ideas through play, problem solving and problem posing; engage in a rich variety of multimodal learning experiences; pursue...

Big ideas in the mathematics curriculum for older school students, especially those that are hard to learn and hard to teach, are covered in this book. It will be a first port of call for research about teaching big ideas for students from 9-19 and also has implications for a wider range of students. These are the ideas that really matter, that students get stuck on, and that can be obstacles to future learning. It shows how students learn, why they sometimes get things wrong, and the stre...

How to Reach the 9.0 is a series created by the tutors of IELTS Medical in order to complement our IELTS Academic classes for medical professionals. Writing is the third part of the IELTS exam. It takes 1 hour and consists of two parts: a report and an essay. Promoting regular practice, our tutors break down each skill with an emphasis on achieving high scores in the Writing exam. With an emphasis on tutoring students to respond to the task appropriately, we also teach Medics to write regu...