The international New Math developments between about 1950 through 1980, are regarded by many mathematics educators and education historians as the most historically important development in curricula of the twentieth century. It attracted the attention of local and international politicians, of teachers, and of parents, and influenced the teaching and learning of mathematics at all levels—kindergarten to college graduate—in many nations. After garnering much initial support it began to attract criticism. But, as Bill Jacob and the late Jerry Becker show in Chapter 17, some of the effects became entrenched. This volume, edited by Professor Dirk De Bock, of Belgium, provides an outstanding overview of the New Math/modern mathematics movement. Chapter authors provide exceptionally high-quality analyses of the rise of the movement, and of subsequent developments, within a range of nations. The first few chapters show how the initial leadership came from mathematicians in European nations and in the United States of America. The background leaders in Europe were Caleb Gattegno and members of a mysterious group of mainly French pure mathematicians, who since the 1930s had published under the name of (a fictitious) “Nicolas Bourbaki.” In the United States, there emerged, during the 1950s various attempts to improve U.S. mathematics curricula and teaching, especially in secondary schools and colleges. This side of the story climaxed in 1957 when the Soviet Union succeeded in launching “Sputnik,” the first satellite. Undoubtedly, this is a landmark publication in education. The foreword was written by Professor Bob Moon, one of a few other scholars to have written on the New Math from an international perspective. The final “epilogue” chapter, by Professor Geert Vanpaemel, a historian, draws together the overall thrust of the volume, and makes links with the general history of curriculum development, especially in science education, including recent globalization trends.

Reinforces and extends the language, concepts and skills from the Pupil's Book. In this title, the activities recycle and extend language, providing extensive writing practice and additional activities. Designed for use after children have completed the relevant Pupil's Book lesson, it can be used in class or for homework.

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.

Are you looking for a fun workbook to expand your kids' knowledge in numbers? Then you are in the right place! Take your child on an exciting journey through all the numbers from 0 to 100 with: Tracing Numbers 1-100 For Kindergarten: Number Practice Workbook To Learn The Numbers From 0 To 100 For Preschoolers & Kindergarten Kids Ages 3-5! By now, your kids might already know how to count to 20 or at least up to 10, and some might be able to write those numbers on their own. But no matter what stage they are, this book will help them further their knowledge, plus we'll take it a step further and learn more numbers up to 100! The book contains over 50+ pages of tracing activities to help your kids master number writing and fully comprehend the sequence of numbers. With the book's structured exercises, your kids will be familiarized with the respective pencil guidance by copying the number, then eventually freely write the numbers without pre-drawn lines. Of course, auxiliary lines are provided to help correctly position the numbers. The learning process is lined with as many successes as possible to boost your child's motivation to learn. With each set, your child is confronted with a solid, reliable structure that they can follow at their own pace. A quick look at the most important facts of the book: Suitable for children from ages 3 to 5 Sensible structure that optimally accompanies the learning process Great preparation for pre-school and kindergarten A fun way to learn the numbers from 0 to 100 Designed and sensibly structured to suit children Promotes correct pen management and concentration Combine play with learning. Benefit from "Tracing Numbers 1-100 For Kindergarten" and accompany your child within a meaningful structure on the way to writing numbers! Get this book NOW!