Providing a self-contained resource for upper undergraduate courses in combinatorics, this text emphasizes computation, problem solving, and proof technique. In particular, the book places special emphasis the Principle of Inclusion and Exclusion and the Multiplication Principle. To this end, exercise sets are included at the end of every section, ranging from simple computations (evaluate a formula for a given set of values) to more advanced proofs. The exercises are designed to test students' understanding of new material, while reinforcing a working mastery of the key concepts previously developed in the book. Intuitive descriptions for many abstract techniques are included. Students often struggle with certain topics, such as generating functions, and this intuitive approach to the problem is helpful in their understanding. When possible, the book introduces concepts using combinatorial methods (as opposed to induction or algebra) to prove identities. Students are also asked to prove identities using combinatorial methods as part of their exercises. These methods have several advantages over induction or algebra.

Lecturers, why waste time waiting for the post arrive? Request and receive your e-inspection copy today! 'The new dyscalculia toolkit has a great introduction that is broken down into manageable chunks, brilliant explanations and interesting reading. The new tables explain what each game entails at the start of the book, making planning and using the toolkit much easier and effective especially if short on time! Very enjoyable to read, and highly recommended' -Karen Jones, Chartered Educational Psychologist, The Educational Guidance Service With over 200 activities and 40 games this book is designed to support learners aged 6 to 14 years, who have difficulty with maths and numbers. Ronit Bird provides a clear explanation of dyscalculia, and presents the resources in a straightforward fashion. New to this second edition: - even more activities, games and printable resources - additional material, provided on the easily accessible CD-ROM - a table indicating which difficulties are supported by which activities - material that caters for a wider range of abilities and ages. This book and accompanying CD meet the needs of specialist and non-specialist teachers who are working with learners with difficulties in maths in mainstream settings. It is equally useful as a resource to recommend to parents who want to support their children's learning.

Offers quick-fix solutions to two hundred challenges faced by early childhood teachers, including messes, interruptions, tight budgets, storage, small and/or noisy rooms, and others.

There are ten red apples hanging on the tree. Yippee, fiddle-dee-fee! But one by one, along come the farm animals and soon there is just one apple left. .. The internationally acclaimed illustrator, Pat Hutchins, brings her celebrated style to this lively counting book.

In Math Work Stations you'll find ideas to help children develop conceptual understanding and skills, use math vocabulary as they talk about their mathematical thinking, and connect big ideas to meaningful independent exploration and practice. This book details how to set up, manage, and keep math stations going throughout the year. There's even a chapter devoted solely to organizing and using math manipulatives.

This teacher-written resource offers engaging activity mats that invite students to explore addition and subtraction, patterns, time, money, measurement, place value, graphs, and more--every day of the school year! Easy-to-use reproducibles make preparation for whole class, small group, and learning center lessons a snap. Great homework for students at every ability level! For use with Grades 1-2.

Provides instructions for creating ninety tablecloths and placemats from traditional and modern patterns