Mathematics Masterclasses for Young People

Erscheinungsjahr 2017
ISBN: 978-0-19-880121-4
Verlag: Oxford University Press

Buch, Englisch, 128 Seiten, Format (B × H): 156 mm x 233 mm, Gewicht: 222 g

This work consists of a series of "masterclasses", short sessions of mathematics beyond the standard school syllabus, aimed at 10 to 15-year-olds with a flair for mathematics who want to stretch themselves.

The book is aimed to provide teachers with a source of novel and interesting topics to supplement their standard material, and as independent reading for pupils themselves.

It will be helpful to teachers who require interesting and novel topics, beyond the standard syllabus and normal textbook material, for capable pupils.

Autoren/Hrsg.

Sewell, Michael

Fachgebiete

• Sozialwissenschaften Pädagogik Lehrerausbildung, Unterricht & Didaktik Allgemeine Didaktik Naturwissenschaften, Mathematik (Unterricht & Didaktik)
• Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik

Inhaltsverzeichnis

- 1: Introduction

- 2: Spin-up

- 3: Subject definitions

- 4: Odds and evens

- 5: Solving equations

- 6: Weighing the baby by algebra

- 7: Prime numbers

- 8: Don't jump to conclusions

- 9: Euler's formula

- 10: Goldbach's guess

- 11: Perfect numbers

- 12: Euclid's theorem

- 13: Mathematical symbols

- 14: Medicine problem

- 15: Dramatic dates

- 16: The foggy day problem

- 17: Angles

- 18: Angles inside a triangle

- 19: Angles inside a quadrilateral

- 20: Angles inside a polygon with n sides

- 21: Method for nding the centre of a circle

- 22: Angles in a sector of a circle

- 23: Orthocentre

- 24: Arithmetic progression

- 25: Leavers from an expanding school

- 26: Isaac Newton

- 27: Geometric progression

- 28: Zeno's paradox

- 29: Big birthday problem

- 30: Sundays in February

- 31: Think of a number

- 32: Hand shaking

- 33: Losing money to the bank

- 34: Supermarket oers: deal, or no deal?

- 35: Imperial and metric

- 36: House prices in Maidenhead

- 37: Fahrenheit and centigrade

- 38: Small things

- 39: Leonardslee cake

- 40: Halving areas

- 41: Isosceles tiling

- 42: Roman numerals

- 43: New money for old

- 44: Distance measures

- 45: Weight measures

- 46: Perimeter-diameter ratios

- 47: Fibonacci numbers

- 48: Quadratic equations and the Fibonacci sequence

- 49: Pascal's triangle and the Fibonacci sequence

- 50: Golden ratio

- 51: Pythagoras and the Fleet Air Arm

- 52: Fermat's Last Theorem

- 53: Another proof of Pythagoras' Theorem

- 54: A third proof of Pythagoras' Theorem

- 55: Another application of Pythagoras' Theorem

- 56: Pythagorean triples

- 57: Nautical notation

- 58: Paper sizes

- 59: Paper sizes and an innite sequence of triangles

- 60: Magic squares

- 61: Binomial squares

- 62: Some special squares

- 63: The nine-point circle

- 64: The thirteen-point circle

- 65: Cardioid

- 66: Irregular hexagons and Pappus' theorem

- 67: Regular hexagons

- 68: The rugby riddle

- 69: Family trees in people and bees

- 70: The tethered goat problem

- 71: Fencing the bulls

- 72: Surprises

- 73: Sewell's spirals

- 74: Prime diagonals

- 75: Cubic cusp in the classroom

- 76: Nature's circles

- 77: Rainbow

- 78: Basis and bases of arithmetic

- 79: Lunes

- 80: An octet of equal circles

- 81: Alternative construction of the octet

- 82: Triangle constructions

- 83: A mosaic of equal circles

- 84: Intersection of equal spheres

- 85: Christmas cracker

- 86: Ostrich egg

- 87: Holditch's Theorem

- 88: A coee shop problem

- 89: Step waves

- 90: References

- 91: Author information

Über Autor(innen)

Michael Sewell is Emeritus Professor of Applied Mathematics at the University of Reading. He has B.Sc., Ph.D, and D.Sc. degrees from Nottingham University and is a Fellow of the Institute of Mathematics and its Applications, and of the Royal Meteorological Society. During the decade starting in 2001, he devised and delivered weekly "Mathematics Masterclasses" to selected groups of able ten-year-olds at Bisham School near Maidenhead, which followed on from the 1997 OUP edited work "Mathematics Masterclasses - Stretching the Imagination", and led to this current book.