Creativity for a New Curriculum: 5-11

Lynn D Newton

Routledge | 2012 |  153 páginas | rar - pdf | 621 kb

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Creativity for a New Curriculum: 5-11 provides an account of what creativity really means in the context of children’s learning in the primary school, and describes in practical terms what teachers can do to foster it. At a time of curriculum development and change, it focuses on the opportunity to build a new curriculum that is inclusive of creativity and is fit for the twenty-first century.

The value of fostering creative thinking and problem solving abilities in education is widely recognised for its capacity to confer an independence and ability to function effectively in life. As such, encouraging children to be creative thinkers and problem solvers should be an integral part of everyday teaching and learning across all subjects.

Building upon the research and practices of a group of educators studying creativity across the curriculum and coordinated by the author, this book provides primary teachers and trainee teachers with easy to understand explanations of what creativity means in the context of the subjects of the curriculum for young children. It introduces ideas for how to nurture and support it, and explores issues associated with fostering it, such as assessment. Chapters cover areas including:

• A brief history of creativity and pedagogy, including common misconceptions

• Strategies for creative learning as well as creative teaching

• Creativity in English

• Creativity in Mathematics

• Creativity in Science and Design and Technology

• Creativity in Art and Music

• Creativity in History and the Humanities

• Creativity in ICT

• International perspectives on creativity

Creativity for a New Curriculum: 5-11 is an ideal source of information for teachers, teacher trainers, students on teaching programmes and anyone interested in developing opportunities for creativity across the primary school curriculum.

Contents

About the Contributors vi

Introduction 1

Lynn Newton

1 Creativity and Problem Solving: An Overview 7

Douglas Newton

2 Creativity in English 19

Lynn Newton and David Waugh

3 Creativity in Mathematics 36

David Bolden

4 Creativity in Science and Design and Technology 48

Lynn Newton

5 Creativity in Art and Music 62

Douglas Newton, Hazel Donkin, Dimitra Kokotsaki and Lynn Newton

6 Creativity in History and the Humanities 80

Anthony Blake and Gail Edwards

7 Exploring Creativity within ICT: Concepts, Themes and Practices 94

Caroline Walker and Alan Gleaves

8 Recognizing Creativity 108

Douglas Newton

9 ‘Creativity is Our Hope’: A Wider Perspective on Creativity 120

Sophie Ward and Lynn Newton

10 Teaching for Creative Learning 131

Lynn Newton

Index 140

Sphere Packing, Lewis Carroll and Reversi

Martin Gardner

Cambridge University Press | The New Martin Gardner Mathematical Library (Book 3) | 2009 | 296 páginas | pdf - 5MB

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Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics. It's the perfect stocking stuffer for the puzzle wizard on your list.

Contents
Acknowledgments page xi
Introduction xiii
1 The Binary System 1
2 Group Theory and Braids 11
3 Eight Problems 23
4 The Games and Puzzles of Lewis Carroll 38
5 Paper Cutting 51
6 Board Games 64
7 Packing Spheres 80
8 The Transcendental Number π 91
9 Victor Eigen:Mathemagician 106
10 The Four-ColorMap Theorem 118
11 Mr. Apollinax Visits New York 132
12 Nine Problems 142
13 Polyominoes and Fault-Free Rectangles 160
14 Euler’s Spoilers: The Discovery of an Order-10
Graeco-Latin Square 175
15 The Ellipse 189
16 The 24 Color Squares and the 30 Color Cubes 202
17 H. S. M. Coxeter 216
18 Bridg-it and Other Games 232
19 NineMore Problems 241
20 The Calculus of Finite Differences 261
Index 275

Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi

Martin Gardner


Cambridge University Press | The New Martin Gardner Mathematical Library (Book 1) | 2008 | 208 páginas | pdf - 3MB

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Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi is the inaugural volume in The New Martin Gardner Mathematical Library series. Based off of Gardener's enormously popular Scientific American columns, his puzzles and challenges can now fascinate a whole new generation! Paradoxes and paper-folding, Moebius variations and mnemonics, fallacies, magic square, topological curiosities, parlor tricks, and games ancient and modern, from Polyminoes, Nim, Hex, and the Tower of Hanoi to four-dimensional ticktacktoe. These mathematical recreations, clearly and cleverly presented by Martin Gardner, delight and perplex while demonstrating principles of logic, probability, geometry, and other fields of mathematics. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries.

Contents
Acknowledgments page
Introduction to the First Edition ix
Preface to the Second Edition xiii
1 Hexaflexagons 1
2 Magic with a Matrix 16
3 Nine Problems 24
4 Ticktacktoe 37
5 Probability Paradoxes 48
6 The Icosian Game and the Tower of Hanoi 63
7 Curious TopologicalModels 73
8 The Game of Hex 82
9 Sam Loyd: America’s Greatest Puzzlist 94
10 Mathematical Card Tricks 109
11 Memorizing Numbers 115
12 NineMore Problems 123
13 Polyominoes 137
14 Fallacies 157
15 Nim and Tac Tix 166
16 Left or Right? 177
Index 189

Origami, Eleusis, and the Soma Cube

Martin Gardner

Cambridge University Press | The New Martin Gardner Mathematical Library (Book 2) | 2008 | 246 páginas | pdf - 4MB

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Martin Gardner continues to delight readers in Origami, Eleusis, and the Soma Cube, the second volume in the new Cambridge series, The New Martin Gardner Mathematical Library, based off his enormously popular Scientific American columns. Gardner introduces young and old readers alike to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Gardner, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation of readers.

Contents
Acknowledgments page viii
Introduction ix
1 The Five Platonic Solids 1
2 Tetraflexagons 11
3 Henry Ernest Dudeney: England’s Greatest Puzzlist 20
4 Digital Roots 32
5 Nine Problems 39
6 The Soma Cube 51
7 Recreational Topology 66
8 Phi: The Golden Ratio 76
9 TheMonkey and the Coconuts 91
10 Mazes 98
11 Recreational Logic 106
12 Magic Squares 117
13 James Hugh Riley Shows, Inc. 129
14 NineMore Problems 139
15 Eleusis: The Induction Game 151
16 Origami 160
17 Squaring the Square 173
18 Mechanical Puzzles 194
19 Probability and Ambiguity 204
20 TheMysterious Dr.Matrix 218
Index 229