Can you find what is round? What is square? In this timeless new split-pageboard book, children can find the bottom half of a page that matches the top half. Find the right pairs, and you will learn to identify all kinds of shapes. From dome-shaped ladybugs to diamond- shaped kites, this clever board book makes learning fun.

Nearly 30 years ago, John Horton Conway introduced a new way to construct numbers. Donald E. Knuth, in appreciation of this revolutionary system, took a week off from work on The Art of Computer Programming to write an introduction to Conway's method. Never content with the ordinary, Knuth wrote this introduction as a work of fiction--a novelette. If not a steamy romance, the book nonetheless shows how a young couple turned on to pure mathematics and found total happiness. The book's primary aim, Knuth explains in a postscript, is not so much to teach Conway's theory as "to teach how one might go about developing such a theory." He continues: "Therefore, as the two characters in this book gradually explore and build up Conway's number system, I have recorded their false starts and frustrations as well as their good ideas. I wanted to give a reasonably faithful portrayal of the important principles, techniques, joys, passions, and philosophy of mathematics, so I wrote the story as I was actually doing the research myself."... It is an astonishing feat of legerdemain. An empty hat rests on a table made of a few axioms of standard set theory. Conway waves two simple rules in the air, then reaches into almost nothing and pulls out an infinitely rich tapestry of numbers that form a real and closed field. Every real number is surrounded by a host of new numbers that lie closer to it than any other "real" value does. The system is truly "surreal." quoted from Martin Gardner, Mathematical Magic Show, pp. 16--19 Surreal Numbers, now in its 13th printing, will appeal to anyone who might enjoy an engaging dialogue on abstract mathematical ideas, and who might wish to experience how new mathematics is created. 0201038129B04062001

Featuring spreads each with raised shaped objects that fit into scooped cutouts on their opposite page, these two new TouchThinkLearn books offer the youngest learners an irresistible opportunity to explore their universe in a hands-on, multisensory way. Seeing the image, tracing its shape, saying its name: these modes of perception combine in a dynamic way to stimulate understanding of essential concepts. Discover—and experience a train by tracing the raised railcar on one side and feeling the excavated shape of the track on the other! Clusters of related words on each spread offer parents and children a springboard for further conversations to encourage the language skills so crucial to later successful learning. In a format unlike any other, these groundbreaking books translate abstract thought into tangible knowledge.

The vibrant colors and large text in this enchanting collection of bilingual board books make learning easy and fun. Boldly colored construction paper cutouts on stark white backgrounds introduce the basic concepts of colors, numbers, shapes, and opposites in a way that will engage little ones again and again. Text copyright 2004 Lectorum Publications, Inc.

NUMBER PREFIXES - This 27 page game packet increaseS your students' abilities to identify number prefixes and gain meaning of unfamiliar words through play. By playing the 3 games included in NUMBER PREFIXES students become familiar with these great prefixes. They learn that simply understanding and recognizing number prefixes can help them interpret the meaning of unfamiliar words, both mathematical and non-mathematical. This game package includes backline masters for:- Bulletin board number prefix introduction sheets- Game board- Game cards- Flashcards- Concentration cards.- A variety of games- Assessment- Activities to send home- Easy to use teacher's guides- Easy game assembly

Classic study discusses number sequence and number language, then explores written numerals and computations in a wide range of cultures. 282 illustrations. "Superior narrative ability." — Library Journal.

The authors report the results of some half dozen years of research into when and how children acquire numerical skills. They provide a new set of answers to these questions, and overturn much of the traditional wisdom on the subject. Table of Contents: 1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young Child Represent? 6. How Do Young Children Obtain Their Representations of Numerosity? 7. The Counting Model 8. The Development of the How-To-Count Principles 9. The Abstraction and Order-Irrelevance Counting Principles 10. Reasoning about Number 11. Formal Arithmetic and the Young Child's Understanding of Number 12. What Develops and How Conclusions References Index Reviews of this book: The publication of this book may mark a sea change in the way that we think about cognitive development. For the past two decades, the emphasis has been on young children's limitations... Now a new trend is emerging: to challenge the original assumption of young children's cognitive incapacity. The Child's Understanding of Number represents the most original and provocative manifestation to date of this new trend. --Contemporary Psychology Reviews of this book: Here at last is the book we have been waiting for, or at any rate known we needed, on the young child and number. The authors are at once sophisticated in their own understanding of number and rich in psychological intuition. They present a wealth of good experiments to support and guide their intuitions. And all is told in so simple and unalarming a manner that even the most pusillanimous will be able to read with enjoyment. --Canadian Journal of Psychology