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The challenges in this book are mainly designed for able mathematicians in upper primary or lower secondary although many of the tasks are appropriate for a much wider range of ages. Extensively trialled through the author's work as a Mathematics Advisor
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 more difficult. The sister volume More Without Words: Mathematical Puzzles to Confound and Delight is also available - containing 36 more puzzles with more easy and fewer testing ones.
A team race is a classic idea - it as simple as your team wins by answering all the questions correctly in the fastest time! The author used the idea in a lesson once and it worked so well it became something he did whenever that topic came up, as students enjoyed the activity so much, and the quality of learning and discussion taking place was very high.The first book in the series Mathematical Team Races for younger students has been widely used in secondary schools. This second book in the series contains activities based on Advanced Level core mathematics content.It can be incredibly difficult to find interesting resources as alternatives to a textbook, and hard to engage some post-16 students. Yet the author has found that post-16 students enjoy these activities just as much as younger ones and they are just as effective in developing their learning. They still enjoy the competitive nature of the activities and they promote rich discussions in overcoming misconceptions when tackling the problems in small groups.Paul Hambleton is an experienced teacher working in the UK.
- 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.
Shows how patterns can be built from tiles which are squares, triangles or hexagons. The book shows how to design tiles which are particularly interesting and which fit together to make attractive patterns. Included are 12 full pages of patterns to colour.
Children love magic numbers. They love to solve them and to mystify family and each other with them. This book contains various magic matrices that can be solved by children in the primary school. Most focus upon addition, with variations for decimals, fractions and some multiplication matrices. They are aimed at Grade 3 to Grade 6 children. The intention is to make mathematics and addition a positive experience by showing children how to work with the matrices and how to construct their own. A teacher or parent can also create further matrices for the children at the appropriate level.
Kate and David Crennell produced a third edition for Tarquin some years ago.The plans and illustrations of all 59 of the stellations of the icosahedron were redrawn and there was a new introduction by Professor Coxeter. This edition has now been revised and updated and now includes colour plates for the first time.Many readers will wish to use the plates and descriptions included in The Fifty-nine Icosahedra to draw and make paper models of some or all of the stellations of the icosahedron and in so doing, gain a greater understanding of the stellation process. For a thorough understanding of the process of stellation and for splendid examples of beautiful polyhedra, this book will be a valuable addition to any mathematics library.As Richard Guy put it in the Preface of the Third Edition: "We mathematicians know how beautiful our subject is, but are often frustrated when we try to explain this to the man-in-the-street. But here at least is one place where we can simply say, 'Look!'"
The world of beautiful mathematical diagrams has been explored by Pat Storey. From the fascinating variety of fractals, spirals and more, she has created a series of stunning quilts. The book contains patterns and detailed instructions for the making of fourteen small quilts; with diagrams and guidance for the construction of four styles of fullsize quilts, using the small quilts as blocks. SPIRAL TRIANGLES Logarithmic Spiral Baravelle Spiral Archimedean Spiral THE FRACTALS Sierpinskis Triangle Pythagorean Tree von Kochs Snowflake Lutes of Pythagoras SYMMETRY Rotational Symmetry Reflective Symmetry OTHER Penrose Tiling Tessellation Fibonacci Series Perspective and Optical Illusion
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.
This title features 180 puzzles, offering two similar ones on a wide variety of topics. They should help to increase interest and to reinforce mathematical vocabulary. All answers are provided.
The principal purpose of these photocopiable worksheets is to offer different and imaginative approaches to number work. Whether through number trails, coded messages, crossnumber puzzles, travel charts or operation trails there are calculations to do and discoveries to make. In addition there are some good ideas for work on compass directions, isometric drawing and dividing shapes into halves and quarters. Full answers are given and this collection is a handy and well worked out resource.
Team Games are special mathematical puzzles and problems which produce real cooperation between the members of a team. The mathematical content is that of the normal curriculum and whether you call them games, puzzles or problems they undoubtedly offer a very positive experience at a variety of different levels. Each player only gets some of the information and so all must play a part in arriving at a solution.Sixteen tried and tested team games are provided in photocopiable form and once it is realised how well this format works, it will not be difficult to construct more for yourself.
A collection of 45 topics and mathematical ideas for the classroom which provide thought provoking investigations. Answers and follow-on materials are included.
Anyone looking for number puzzles to stretch and intrigue will be delighted with the contents of this original book. The demanding challenges explore the properties of numbers and the patterns and hidden relationships which exist between them. Many of the challenges are presented in a visual or diagrammatic way with tables or charts to complete or fill in.
Starting with the simple rule which generates the numbers in Pascal's Triangle, it is remarkable how many other patterns and properties there are to discover. Teacher's notes and photocopiables included.
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