Mathematics Masterclasses for Young People
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Product details:
- Publisher OUP Oxford
- Date of Publication 6 April 2017
- ISBN 9780198801214
- Binding Paperback
- No. of pages128 pages
- Size 233x156x8 mm
- Weight 222 g
- Language English 0
Categories
Short description:
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.
MoreLong description:
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.
[Sewell's] enthusiasm bubbles through ... there is a great deal to commend this book. ... He has a knack of engaging the reader. ... This book could be an inspiration to young people if the right person is available to guide them.
Table of Contents:
Introduction
Spin-up
Subject definitions
Odds and evens
Solving equations
Weighing the baby by algebra
Prime numbers
Don't jump to conclusions
Euler's formula
Goldbach's guess
Perfect numbers
Euclid's theorem
Mathematical symbols
Medicine problem
Dramatic dates
The foggy day problem
Angles
Angles inside a triangle
Angles inside a quadrilateral
Angles inside a polygon with n sides
Method for nding the centre of a circle
Angles in a sector of a circle
Orthocentre
Arithmetic progression
Leavers from an expanding school
Isaac Newton
Geometric progression
Zeno's paradox
Big birthday problem
Sundays in February
Think of a number
Hand shaking
Losing money to the bank
Supermarket oers: deal, or no deal?
Imperial and metric
House prices in Maidenhead
Fahrenheit and centigrade
Small things
Leonardslee cake
Halving areas
Isosceles tiling
Roman numerals
New money for old
Distance measures
Weight measures
Perimeter-diameter ratios
Fibonacci numbers
Quadratic equations and the Fibonacci sequence
Pascal's triangle and the Fibonacci sequence
Golden ratio
Pythagoras and the Fleet Air Arm
Fermat's Last Theorem
Another proof of Pythagoras' Theorem
A third proof of Pythagoras' Theorem
Another application of Pythagoras' Theorem
Pythagorean triples
Nautical notation
Paper sizes
Paper sizes and an innite sequence of triangles
Magic squares
Binomial squares
Some special squares
The nine-point circle
The thirteen-point circle
Cardioid
Irregular hexagons and Pappus' theorem
Regular hexagons
The rugby riddle
Family trees in people and bees
The tethered goat problem
Fencing the bulls
Surprises
Sewell's spirals
Prime diagonals
Cubic cusp in the classroom
Nature's circles
Rainbow
Basis and bases of arithmetic
Lunes
An octet of equal circles
Alternative construction of the octet
Triangle constructions
A mosaic of equal circles
Intersection of equal spheres
Christmas cracker
Ostrich egg
Holditch's Theorem
A coee shop problem
Step waves
References
Author information
