1.

Record Nr.

UNINA9910810707003321

Autore

Ollerton Mike

Titolo

100+ ideas for teaching mathematics / / Mike Ollerton

Pubbl/distr/stampa

London, [England] ; ; New York, New York : , : Continuum, , 2011

©2007

ISBN

1-4411-0302-3

1-4411-3748-3

Edizione

[Second edition.]

Descrizione fisica

1 online resource (161 p.)

Collana

Continuum One Hundreds Series

Disciplina

510.71

Soggetti

Mathematics - Study and teaching

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

Cover; Half-title; Title; Copyright; CONTENTS; ACKNOWLEDGEMENTS; INTRODUCTION; SECTION 1 A number of number puzzles; 1 100 SQUARE 1 Observing patterns on a 100 grid, summing sequences; 2 100 SQUARE 2 Coding moves on a 100 grid, arithmetic; 3 CARD TRICKERY 1 The arithmetic behind a card trick; 4 CARD TRICKERY 2 Another card trick and more arithmetic; 5 FIVES AND THREES Dominoes and arithmetic; 6 CONSECUTIVE SUMS Consecutive numbers and consecutive sums; 7 DIVISORS 1 Deciding on divisors; 8 DIVISORS 2 Developing divisors; 9 DIVISORS 3 Exploring divisors

10 DIVISORS 4 Lowest Common Multiples and divisors11 DOUBLING AND DOUBLING AND . . .  Arithmetic by continually doubling (ABCD); 12 DOUBLING IN MODULAR ARITHMETIC Exploring modular arithmetic; 13 EXPLORING UNIT DIGITS Exploring unit digits, sequences; 14 FIVE DICE /FIVE CARDS TO A HUNDRED; 15 NETWORKS Coding and analysing a line pattern, generalizing, formula; 16 PALINDROMES Exploring numbers, generalizing, arithmetic; 17 PARTITIONS AND PRODUCTS Addition, multiplication, indices, formulae; 18 SCALE FACTORS Enlargements, ratio; 19 STORIES Here's the answer, what's the question?

20 TAKE THREE DICE Arithmetic, properties of numbers21 TAKE THREE NUMBERS A right good number puzzle; 22 TAKE A STRIP OF PAPER From number to algebra; 23 DOMINO DELIGHT Number patterns, algebra and fractions; 24 FRACTION WALLS AS NUMBER LINES Fraction



walls, fraction number lines, decimals, percentages; 25 FRACTIONAL FROGS Addition and subtraction of fractions, infinity; 26 TWO MORE FRACTION PROBLEMS Patterns in fractions, generalizing; 27 A COUPLE OF PERCENTAGE PROBLEMS Making sense of percent, compound interest; 28 ROOTING OUT SQUARE ROOTS Multiplication of decimals

29 CREATING A LOG10 TABLE Creating base 10 log tables using fractional indicesSECTION 2 Puzzles to NAG (Number, Algebra and Graphs) your students with; 30 FIBONACCI 1 Sequence generators, golden ratio, graphing data; 31 FIBONACCI 2 Properties of the Fibonacci sequence, algebra; 32 SQUARE NUMBERS A collection of ideas using square numbers; 33 FIVE NUMBERS IN A RING 1 Differencing, generalizing; 34 FIVE NUMBERS IN A RING 2 Summing products, summing quotients, coordinate pictures; 35 JOINING DOTS Exploring structures, generalizing; 36 SPROUTS A strategy game using nodes, arcs and regions

37 4-SQUARE MEETING POINT PROBLEM Number patterns, generalizing, writing formulae38 TURNING INSIDE-OUT 'People math', a bit of fun, generalizing; 39 X + Y = 10 Partitioning, algebra, graphing; 40 100 SQUARE 3 Algebrizing on a 100 square; 41 TAKE TWO NUMBERS Addition, number patterns, generalizing; 42 DIAGONAL DIVERSIONS 1 Practising Pythagoras and trigonometry in a problem-solving context; 43 CARD TRICKERY 3 Puzzling out a card trick, constructing a formula; 44 LONGEST PATH THROUGH A RECTANGLE Number pattern leading to a quadratic; 45 NUMBER ROUTE PROBLEMS Number problems and algebra

46 3 'MULTIPLIED' BY 2 IS 8 Number patterns, generalizing, writing a formula

Sommario/riassunto

All Mike's ideas have been tried and tested at the chalkface. This second edition will be at least 20% bigger and will contain ideas which range from simple addition to using and applying trigonometry, from naming 2D shapes to exploring the intrigues of 3D solids.