Books published by publisher Tarquin Group

A further collection of colorful models to cut out and make offering insights into mathematical concepts and including a minibook of background information and ideas. Models include triangular dissection nesting pyramids pop up pyramid shapes of constant width cube rainbow flower double sided magic square follow the stars flipflop parallelepideds double helix vanishing area.

Ideas and Explorations of the Meaning of Infinity Who has not wondered if there is something beyond the universe? Or if there is a biggest number? Or if there is something smaller than the smallest thing? These are questions about different infinities. Exploring the paradoxes and riddles of what infinity means is the invitation contained in this book. This classic book, written by the seminal Leapfrogs team, has been visually updated in this second edition for a new generation. A great addition to any mathematician's library - and to school and public libraries too. Explorations for all ages. Elegant, thought provoking and wonderful.

All the characters in these puzzles make clear statements about themselves and others, but it is not clear whether or not they are telling the truth. Anyone could be lying. As always, a good logical puzzle is one which it is possible to unravel by thinking logically. The problem is to decide which person to believe. Altogether there are 85 original puzzles in this book ranging in standard from fairly easy to quite demanding. There are also some curious paradoxical pictures which raise questions which are rather hard either to answer or to ignore. Answers are provided, and also some excellent suggestions for techniques you might use to solve the problems. Not just a puzzle book - it's a "how-to" book too!

A collection of interesting topics and ideas to fill spare moments... 45 topics and mathematical ideas for the classroom or home, which are quick to introduce and set up but also genuinely stimulating and enriching. Although primarily designed to fill spare moments in normal lessons, they enliven clubs, quizzes and end of term activities. They are an ideal source of thought-provoking investigations for those who need stimulating puzzles and explorations. Complete with answers and lots of follow-on material.

Although primarily written for pupils ged 11-16, these puzzles do not require a high level of syllabus knowledge, making them accessible to a wide range of ages and abilities.Two levels of difficulty are provided for each entry. There are 180 puzzles, offering two similar ones on each of a wide variety of topics. They can be used as a daily displayed competition for pupils to enter and a winner can be picked from the days entries. It helps to increase interest, to reinforce mathematical vocabulary and of course the puzzles are fun to do. Complete with answers.

A dot-to-dot book with a difference - for anyone who can use a ruler. Using a ruler, draw a straight line between the numbered dots, connecting them in sequence, and watch how the mind assembles the series of lines to create an illusion of a curve, or curves. If you use a pencil to complete the puzzle in the first instance, you can correct any mistakes, then ink in the lines for the final art. The book nourishes the mind as well as the senses though - the “curve stitching” effects have long fascinated mathematicians and the book will provide mathematics teachers and parents with something worthwhile with which to occupy students profitably. Teacher and parent notes are provided on how to use the book. Ultimately though, this is book for those who like to create and who like visual illusions. Hours of fun!

Agnar Bergkuist Translated from the Swedish by Malcolm Reid All real life mathematics is problem solving. You can practise problem solving in different ways. In this book solving problems is practised in a different way from most mathematics books you have seen before: You get no clues to the type of calculation from the title; Some problems may have no solution, whereas others may have many solutions Sometimes you can find a simple solution, but check very carefully to see if it is right. The problems are designed to be a little extra tricky. The contents are divided into 4 categories with the answers at the back: * problems ** problems (a little harder) *** problems (can be quite tricky) The week’s problem The week’s problems are intended to be solved in groups, pairs or individually at school or maybe at home with the whole family. The other problems are often also best solved in a group. Part B contains harder problems than Part A: but as most problems are language and logic based this is not easy to define. What is easy for one solver can be almost impossible for another, and vice versa. Neither of the parts need advanced mathematical knowledge, but despite this there are problems to which many adults either cannot find a straightforward solution or give the wrong answer (for Part B it is useful if you know what “percent” means).

Most people have taken part in treasure hunts of various kinds in different social contexts. What perhaps is not generally realised is just how easy and rewarding they can be to include within the mathematics curriculum. They can add variety to lessons, end of term activities, maths clubs, parent evenings or open days. Once the principles of organising them are understood, thay can be adapted easily to the circumstances. In the book there are six complete treasure hunts, four ready to photocopy directly from blackline masters and suggestions, ideas and templates for many more.

Cross numbers are the mathematical equivalents of crossword puzzles. The earlier puzzles in the book only require simple arithmetic and basic knowledge, but, as the sequence continues, so the level of difficulty increases. The later ones also demand some enjoyable logical reasoning to tease out the solutions. For the final puzzles, access to a calculator would be helpful and some would say essential. Anyone who enjoys arithmetic and likes to search for patterns and relationships between numbers will find much to please them in this book.

Knowing the order in which arithmetical operations take place needs to be instinctive for students - starting to learn about them and consolidating until the age of 14. Ensuring understanding and fluency among students is vital. Yet how to keep them interested and involved when checking understanding and reinforcing? This book brings to the teacher - or parent - invaluable options through blackline masters: includes worked examples, questions and puzzles. dispels any myths and misunderstandings concerning the order of operations fosters an enjoyment of problem and puzzle solving.