This book shows the reader how to make a range of robust polyhedra from ordinary printer paper using a technique known as modular origami. Modular origami designs are made by first folding several, or sometimes many, sheets of paper into simple individual modules and then by putting these modules together, normally without the help of any kind of adhesive, to create a finished polyhedral form. Modular origami design has moved on since the hugely popular first edition which has been expanded and revised to present both a wider range of designs, and to introduce new designs which are more robust and offer more potential for mathematical adventures. Ideal for the classroom and fun for any enthusiast of either origami, or mathematics. David Mitchell gives clear step-by-step instructions.

239 Crazy Games to Stretch Your Brain

Walter Joris has spent a lifetime collecting and inventing games, most designed to be played with pencil and paper or common objects. This collection represents hours of fun, for all ages. Using Walter's quirky and amusing drawings, games are quick to learn and many can be played for hours.

Games include:

Number games for 1 and 2 playersLogic games for 1 and 2 playersDrawing gamesAction gamesPaper engineering gamesWord games

Hours of fun for all ages.

Tarquin Popups are a special kind of do it yourself activity book. Not only is there the fun of making the scenes and seeing them popup but they are full of interesting information and ideas. This book contains six main scenes to make: Knossos, the Palace of Minos, the Lion Gate at Mycenae, the Battle of Salamis, the Golden Age of Athens, the Theatre, Alexander the Great and King Porus. There are a number of mini popups as well. Close the book and they fold away. Open it and they popup again. These vivid, colourful three dimensional scenes help to bring Ancient Civilisations to life in a way which no other kind of book can.

The wonderful thing about mathematical art is that the most beautiful geometric patterns can be produced without needing to be able to draw, or be 'good at art'. Mathematical art is accessible to learners of all ages: its algorithmic nature means that it simply requires the ability to follow instructions carefully and to use a pencil and ruler accurately. It is engaging, enriching, thoroughly enjoyable and is a great leveller in the classroom. Learners who may not normally shine in mathematics lessons will take your breath away with their creativity. Those who struggle with their mathematics will experience the joy of success through their mathematical art-making. The six Artful Maths activities in this book are hands-on tasks that will develop important skills such as hand-eye co-ordination, manual dexterity and design thinking, which is a valuable form of problem-solving. Decisions need to be made about placement, size and colour, all of which entail thinking about measurements, proportions and symmetry. They can be undertaken alone or with a teacher to draw out the mathematics underlying the patterns and to practice key content in the school curriculum. For ages 9 to 16+. Contents: Curves of Pursuit, Mazes and Labyrinths, Impossible Objects, Epicycloids, Perfect Proportions, Parabolic Curves.

This authoritative book illustrates in dynamic form mechanisms used in making popup books that utilise elastic bands. It offers many imaginative possibilities for the hobbyist, or the student of design and technology. Each of ten basic mechanisms is illustrated by a working model which you can cut out and make. When finished, each working model glues back into the book on a special tab and folds away to make a kind of three dimensional dictionary or encyclopaedia. For each working model there is also a page called technical considerations which points out important features of the mechanism and suggests how it might be used to create original designs of your own.

This book by a long-time creator will appeal to enthusiasts of mathematics and puzzles as well as fans of modular origami. Over thirty elegant projects are absorbing to make and rewarding to assemble -- without glue or scissors. When finished, not only do the projects please the eye and stimulate the imagination, they have a bonus feature: they move, spin or change shape in unique and fascinating ways.

All in one place, fully diagrammed -- clear step-by-step instructions with thoughts behind the folds. Many have been improved during years of experimentation and experiences of making and teaching.

beautiful and elegant designs...immaculate diagrams. British Origami Society

WXYZ model is so iconic...the most elegant model in all of modular origami. trivialknot

his modular creations are fine examples of original and economical folding David Petty, author of Origami A-B-C and Origami 1-2-3

Book contains teacher notes, and access to downloadable templates and Powerpoint lesson plans. The wonderful thing about mathematical art is that the most beautiful geometric patterns can be produced without needing to be able to draw, or be 'good at art'. Mathematical art is accessible to learners of all ages: its algorithmic nature means that it simply requires the ability to follow instructions carefully and to use a pencil and ruler accurately. It is engaging, enriching, thoroughly enjoyable and is a great leveller in the classroom. Learners who may not normally shine in mathematics lessons will take your breath away with their creativity. Those who struggle with their mathematics will experience the joy of success through their mathematical art-making. The six Artful Maths activities in this book are hands-on tasks that will develop important skills such as hand-eye co-ordination, manual dexterity and design thinking, which is a valuable form of problem-solving. Decisions need to be made about placement, size and colour, all of which entail thinking about measurements, proportions and symmetry. They can be undertaken alone or with a teacher to draw out the mathematics underlying the patterns and to practice key content in the school curriculum. For ages 9 to 16+. Contents: Curves of Pursuit, Mazes and Labyrinths, Impossible Objects, Epicycloids, Perfect Proportions, Parabolic Curves.

All real life mathematics is problem solving. And all those fascinated by puzzles are problem solvers at heart. But thinking mathematically is a skill we have to learn and one which it is easy to forget. Recreational mathematicians and students can practise problem solving in different ways. In this book solving puzzles is practised in a different way from most books they will have seen before:
# Readers get no clues to what the puzzle is about
# They may take hours or even days to work out what is being asked of them
# Even after that, some problems may have no solution
The result of this challenge is a really challenging book that will fascinate anyone interested in puzzles and recreational mathematicians in particular. This volume contains 36 puzzles ranging from quite easy to quite difficult.
The sister volume More Without Words: Mathematical Puzzles to Confound and Delight is also available - containing 36 more puzzles with fewer easy and more testing ones.

Make this collection of seven ingenious paper gadgets which introduce and explain many of the concepts used in cipher machines. Decode the secret messages and then start to understand how cryptographers try to protect information from prying eyes. See also how cryptanalysts set about breaking such codes and ciphers. A substantial minibook explains the principles of codebreaking, and includes the story of the Enigma machine and Bletchley Park.

Getting and keeping teens interest in mathematics is vital to their future. But how, when there are so many dreary textbooks and repetitive curriculum requirements? Covering everything that they need to know is about all a school can do. What approach would work, when there are million other things for them to do? Ioanna Georgiou and Asuka Young have come up with a novel approach that is based on stories from history - with a twist! Peculiar Deaths combines short stories about key mathematicians from the past and how they died, with details of the mathematical advances that they made. But one of the deaths is made up - but which one?

Can Beans Kill You? - Pythagoras
Death by Square Root - Hippasus
You should not be Disturbing my Circles! - Archimedes
What? A Woman Mathematician? Die! - Hypatia
A bit of Gambling Killed No-one, Ever - Gerolamo Cardano
A Very Rich Way to Die - Tycho Brahe
Death by Time Calculation - Abraham De Moivre
Just a Bit Too Young - Evariste Galois
At the Mental Asylum - Andre Bloch
Self-imposed Starvation and other Difficulties - Kurt Gödel

Funny and enjoyable stories, with visual puzzles throughout. A great way to learn about mathematics of the past, and for students age 13 and over to enjoy learning and understand key concepts. Perfect for libraries, clubs and as prizes too.

Origami is the art of paper folding without the use of either scissors or glue. Each of the beautiful and fundamental mathematical shapes described in this book is achieved by folding sheets of standard A4 paper. It is remarkable what can been done and David Mitchell gives clear step by step instructions for each. This new second edition extends the selection massively and has been split into two volumes.

2007 is the three hundredth anniversary of the birth of Leonhard Euler. As a result there is likely to be a resurgence of interest in him and of course his work. His Elements of Algebra is one of the first books to set out elementary algebra in the modern form we would recognize today. However, it is sufficiently different from most modern approaches to the subject to be interesting for contemporary readers. Indeed, the choices made for setting out the curriculum, and the details of the techniques Euler employs, may surprise even expert readers. It is also the only mathematical work of Euler which is genuinely accessible to all. The work opens with a discussion of the nature of numbers and the signs + and -, before systematically developing algebra to a point at which polynomial equations of the fourth degree can be solved, first by an exact formula and then approximately. Euler's style is unhurried, and yet rarely seems long winded.

Children and adults love pattern. Fascination with Escher and with the Alhambra and other patterns lead to intrigue into making them, understanding them and inventing them. Now in Tarquin's long tradition of pattern books that link art and mathematics, comes a new title. Lattice Labyrinth Tessellations, an exciting, fertile, yet almost unexplored Flatland situated in the gulf between Art and Mathematics.The astonishing and elegant designs revealed in this very short and almost elementary book are simple to make and beautiful to contemplate, yet are unmentioned in the textbooks and unknown to designers and architects, following in the footsteps of the celebrated Dutch graphic designer Maurits Escher. This is a guided workbook that will show you how to construct an unbounded range of potentially intricate patterns like those on the front cover. Many of these designs - in fact an infinite number - can be constructed, step-by-step following straightforward rules.

All the challenges in this entertaining puzzle book are the same. Fold the corner of the paper to a given dot and find the folded area. A small move of the target dot can drastically change the logic needed to find the solution to the challenge. The problems become increasingly complex as the book progresses, with possible solutions involving Pythagoras' and similar triangles as well as trigonometry and algebra. However, insights learnt from earlier challenges can help with those that follow. If at any point the challenge becomes too great, the answers can always be found by measurement with a ruler and directly calculating the area. The book encourages curiosity, a find out what you can approach that creates interesting and varied solution strategies. The aim is that deep thinking and geometrical reasoning can come out of exploring and discussing the paper folds. The challenges are for all ages (10 years and over). Thus, for teachers the book provides a rich source of challenges that have a similar appearance, yet hide an obvious method and require students to choose how to approach the problem. Comparing solution methods when checking the answers is also useful as the solutions highlight some fascinating facts linked with these simple folds.

School mathematics sometimes excite and sometimes scare, and sadly, sometimes bore. In fact, elementary school arithmetic seems to get us through most situations. So why all the rest? This book aspires to give a glimpse into how things started and evolved, and how math can help us today, from simple measurements to navigating using mathematically simplified maps. The accompanying activities (some easier and some more challenging ones) aim to engage you with what was happening at a given time. Answers and explanations are in the end of the book.

Robert Field has travelled extensively and has taken his camera and a keen eye with him wherever he has gone. Many people will be both suprised and delighted by the sheer number and variety of interesting patterns that he has discovered. These books will appeal both to those who have a particular interest in quilting but also to those who are looking for a rich resource of pattern designs.

- This book explains dyscalculia -- but for the first time from the perspective of a sufferer. - It is estimated up to 5% of the population suffers from the condition - Often humorous, sufferers and their carers will find it a relief and a joy to share experiences and learn more about how to cope.

Lesley Higgin's tried and tested activities in this volume will enliven hundreds of classrooms and homework sessions across the world. An experienced teacher and author, she brings practicality and a sense of fun to what can often seem dull learning and reinforcement tasks.

The Junior Mathstraks series provides excellent one page activities for use in class or in revision at home. Each book is available in book and ebook form. This volume is an extension for ages 10 to 12 years.

The Arch is a series of books that can be used to make an arch--in so doing learning some practical geometry and papercraft--but to a purpose. In this case the Roman and Flat Arches are explored, with a historical introduction and some notes on the physics of keystones and other features. Builders will learn how Romans succeeded in building their magnificent structures using the arch. Teachers and parents will also be able to link mathematical activity with history--perfect to follow up a school trip or a visit to a Roman town or villa.

Following the pattern of her previous book, this second collection by Hilary McElderry offers new pictures to color and further opportunity and encouragement for children to learn and practise their multiplication tables. It is intended to act as an encouragement for children to learn their tables. On every page there are diagrams made up of small numbered areas. If that number will divide by the number being studied, then the area has to be colored or shaded. When all the target areas of a particular puzzle are colored, then the hidden picture is revealed. There are also other charts and hundred squares to color and the book is then rounded off with a target test to confirm the progress being made.