NEW WEBSITE MATHEMATICS RESOURCES 201415 · Northamptonshire NN11 6JT Facilities include an indoor leisure complex with pool, sauna, steam room and whirlpool spa. There’s also a

www.atm.org.uk

MATHEMATICS RESOURCES 2014-15

1 The Association of Teachers of Mathematics

Engaging children’s thinking in cross-curricular work . . .

Commonwealth Games Challenge

The Association of Teachers of Mathematics

Practical tasks, investigations and games, with an air of mystery . . .

Midwinter Mathematics

for KS1 and KS2

Exploring Geometry with a9-PinCircular Geoboard

Practical geometry

BIGGERIDEAS

a holistic scheme for pupils aged 12-13

AL L M E M B

E RS

DISCO

UNT FOR 25%

NEW WEBSITE

BRAND NEW PUBLICATIONS

www.atm.org.uk

Welcome

Welcome to the Association of Teachers of Mathematics

The Association of Teachers of Mathematics, or ATM, welcomes anyone with an

interest in mathematics education, from teachers of primary children to university

lecturers and from freelance consultants to secondary school teaching assistants.

As a member of ATM, you gain access to a wealth of support, information

and ideas. There are many reasons to join ATM and here are just a few:

1 The ATM Guiding Principles: These describe a way of working, a way of

teaching, a way of being … which are central to all of the following. They

are what make the ATM the ATM. You can read about them on our website:

www.atm.org.uk.

2 The Events: There are lots of opportunities to meet and network with

other members of ATM. The Easter Conference is our main event and

delegates always come away feeling challenged and inspired! In 2015

the ATM conference will take place at Staverton Park Hotel in Daventry,

Northamptonshire and it would be great to see you there. There is also a

varied local branch meeting programme. Information about branches can be

found at www.atm.org.uk/branches.

3 The Journal: As a member of ATM, you will receive six copies of the journal,

Mathematics Teaching, each year. The journal has articles from colleagues

who work across all phases and who do pretty much every job imaginable

within mathematics education. Membership also provides access to an online

back-catalogue of articles from every previous journal. This is an invaluable

bank of interesting pedagogical ideas, stimulating activities, thought-provoking

research and genuine good practice for the classroom.

4 The Publications: ATM is a highly regarded provider of exceptional publications

which can support any teacher in the classroom. From Thinking for Ourselves for

KS1/2 to What Kind of Game is Algebra for KS3 and Forty Harder Problems for

the Classroom for KS4/5, there is something for everyone. All of the publications

are consistent with ATM’s aims and guiding principles and as a member you

receive a discount of 25% making them exceptional value.

5 The Website: The new site includes lots of free information and support for

your classroom including reviews, news of events and open resources for the

classroom. Members have access to even more free resources such as the CPD

support packs and the vast bank of past articles as mentioned above and during

2014/15 we will be increasing the free resources bank further.

25% publications discount for members

To find out more about the benefits of joining the ATM, drop an email to

[email protected] or visit www.atm.org.uk

2

3www.atm.org.uk

ATM Daventry 2015

3

ATM Annual Conference 30 March - 2 April 2015 ‘Thinking Mathematically’The Easter Conference is an annual highlight of ATM’s programme of professional development events and is taking place on the 30 March to the 2 April 2015. The conference offers an invaluable opportunity to explore new ideas and make social and professional connections in a stimulating and challenging environment that encourages face-to-face sharing and learning. Delegates will be inspired by the wide range of sessions available or can spend time relaxing and working in a more informal way in the ATM workshop area.The conference also offers a number of social events to allow our delegates to get to know one another, relax and network outside of the main Conference programme such as the quiz and music event.

Speakers Plenary sessions

Opening Speaker John Mason

Closing Speaker Barbara Jaworski

De Vere Staverton Park Hotel Daventry Northamptonshire NN11 6JTFacilities include an indoor leisure complex with pool, sauna, steam room and whirlpool spa. There’s also a PGA-standard 18-hole golf course. Our Conference venue is close to Northampton and easily accessible from the M1, M6, M40 and Birmingham Airport.

www.atm.org.uk4

Using this catalogue

Cover image and photography – Jonny Back

How to use this catalogue

Welcome to our 2014/15 catalogue, which you can also browse on the web.

www.atm.org.uk/Catalogue

Arranged in order from Early Years onwards, turn the pages to find author profiles, brief reviews and above all lots to inspire your teaching with well tried and tested materials.

Many publications are now available as downloads and more downloadable versions are being added this year. The easiest way to order is on the new ATM web site. It’s quick and easy to use and here you will find additional titles as well as everything within this catalogue. There is however an order form at the end of the catalogue if you prefer to use that.

Brief reviews of some of the titles can be found within this catalogue. The full reviews can be viewed on the website.

We recognise that our Scottish colleagues and educators from other countries do not use the key stage structure used in our catalogue and the ages/key stage links are outlined below: KS1 5 - 7 years KS3 11-13 years KS2 7 -11 years KS4 13 -16 years

Buying on the web – www.atm.org.uk/shop

Buying on line is quick and easy. You can either:

Enter the link shown by each item in the catalogue into your web browser. This leads directly to the item you are looking for or

Enter the shop from ATM home page www.atm.org.uk

Many of the items in this catalogue are available in electronic format, so if you need something in a hurry or just prefer to download a resource, you can access these titles immediately.

There are more titles in the on-line shop than can be shown in this catalogue. Some are pdf versions of out of print titles, while others are still available in print format.

Why not register on the new web site to receive a copy of ATM e-news and keep up-to-date with the latest developments within ATM and the wider mathematical community.

www.atm.org.uk/Sign-up-for-e-news

5www.atm.org.uk

ATM

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ATM

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ATM

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Collections – support with the new National Curriculum

EYFS and KS1LudamusShape and Space Without a WorksheetLittle People Big MathsMathematical Activities from Special ClassroomsYoung Children Learning MathematicsList £56.00 (Members £42.00) www.atm.org.uk/shop/bun009

Primary8 Days a WeekIt Makes You ThinkThinking for OurselvesRich Task Maths 1Exploring Geometry with a 9 Pin GeoboardList £78.00 (Members £58.50) www.atm.org.uk/shop/bun010

SecondaryRich Task Maths 2ThinkersWe Can Work It Out Exploring Geometry With a 9 Pin Geoboard8 Days a WeekList £78.00 (Members £58.50) www.atm.org.uk/shop/011

ATM Collections These collections of ATM publications have been assembled to support you with the new National Curriculum. They include problems for your learners to solve and tasks which will encourage them to reason mathematically. Each collection includes a publication to develop your questioning so that it promotes conceptual understanding and builds reasoning skills in your learners. Together the books in each collection will give you ideas for challenging your learners to go ‘broader and deeper’ into mathematics to prepare them for future work.

www.atm.org.uk/shop

Rich Task Maths 2 engaging mathematics for all learners

Exploring Geometry with a 9-Pin Circular Geoboard

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

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Early Years – Primary

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Number Without a Worksheet A collection of ideas of core number activities to encourage children to think mathematically. Each idea includes: suggestions for developing ideas, extensions, simplifications, and resources list. Foundation, KS1 List £12.00 (Members £9.00) www.atm.org.uk/shop/act052

Shape and Space Without a WorksheetA second set of activities to encourage children to think mathematically without resorting to worksheets. Included are simplifications, suggestions and resource lists for developing ideas on shape and space. Foundation, KS1 List £12.00 (Members £9.00) www.atm.org.uk/shop/act063

Little People – Big Maths A collection of practical activities suitable for foundation and key stage 1 children working together which can be adapted for different age groups. The activities are designed to be fun and enable children to develop their mathematical understanding in non-threatening situations. Foundation, KS1 List £14.00 (Members £10.50) www.atm.org.uk/shop/act076

Mathematical Activities from Special ClassroomsPractical fun activities that are appropriate for children in foundation classrooms (as well as special classrooms) which help young children develop early concepts of number and measure. Foundation, KS1List £12.00 (Members £9.00) www.atm.org.uk/shop/act020

Thinking for Ourselves – aimed at primary and early years teachers. This book provides a variety of ways in which children are encouraged to think for themselves. KS1, KS2 List £14.00 (Members £10.50) www.atm.org.uk/shop/dis019

Practical Geometry A downloadable pack of activities designed for younger children to develop early concepts of geometrical reasoning. The pack includes work on area and perimeter, pentomino challenges, symmetry and tessellation and has cards that can be cut out and used. There are also teachers notes to help with planning.The activities can be used with whole class or small groups. They have been developed to encourage children to investigate and sort shapes, promoting geometrical thinking and discussion in areas including congruence, symmetry and rotation. KS1, KS2 List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL099

Young Children Learning Mathematics A collection of articles on teaching and learning mathematics with young children. Sections include: in the classroom, using resources, role play, discussions of children learning mathematics. Practical activities are also written about where authors look at the levels of mathematics the children could achieve. Foundation, KS1List £8.00 (Members £6.00) www.atm.org.uk/shop/rea023SPECIAL OFFER

“Questions to promote mathematical thinking skills is a brilliant section full of ideas for getting children talking about mathematics - Amazing value for money!” Vivien Townsend

Practical geometry

NEW

ATM

Collect

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Early Years – Primary

www.atm.org.uk 7

Ludamus – booklet plus pdf file of activities and games – introduces collaborative problem solving to young children through a series of games which become progressively more complex. Children are required to arrange picture cards in a certain order using clues from the clue cards provided. Games develop understanding of positional language. Children discuss the clues, following instructions to place the pictures. Foundation, KS1List £22.00 (Members £16.50) www.atm.org.uk/shop/act071

Mathematical Allsorts – booklet plus pdf file of activities and games – is designed to introduce children to sorting systematically and finding all possibilities. It contains sets of cards that can be sorted in many different ways. There are small, medium and large cards as well as templates for children to colour themselves. Games develop understanding of completing sets and generalising statements. Children discuss the similarities and differences. Foundation, KS1List £22.00 (Members £16.50) www.atm.org.uk/shop/act072

Completing the Square – booklet plus pdf file of activities and games – is a set of games played on a board which encourage children to sort and classify objects, colours and numbers. Through playing the games children will develop skills essential for mathematical development. Games provide an environment for children to discuss characteristics of objects. Children sort according to characteristics, arranging cards in a grid format. Foundation, KS1List £22.00 (Members £16.50) www.atm.org.uk/shop/act073

It Makes you Think Jill Mansergh – Book & CDActivities to encourage children to think by themselves, with a partner, in a group or as a class. This photocopiable book comes with a CD of resources to use alongside the problems. This is one of our best selling books – see the review below. KS1, KS2List £22.00 (Members £16.50) www.atm.org.uk/shop/act066

COLLABORATIVE GAMES AND ACTIVITIES EARLY YEARS COLLECTION LUDAMUS - MATHEMATICAL ALLSORTS - COMPLETING THE SQUARE EYFS – Year 2 These early years collaborative games and activities by Jill Mansergh have been brought together to buy as a complete collection. Each individual title comes with a booklet giving details of the activities, along with a pdf file containing all the games and activities ready to print out and use in your classroom. List £50.00 (Members £37.50) www.atm.org.uk/shop/bun012

“This is one of my favourite books to share with primary teachers. Often I hear that primary colleagues don’t know how to approach teaching Using and Applying and I always point them straight in the direction of this book” Vivien Townsend, freelance primary mathematics consultant

Completing the Square

Completing

the Square

www.atm.org.uk

ATM

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Primary – Challenge Packs

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First Challenge Activities— for Years 3 and 4 Set of 10 photocopiable activities designed to be used to help children work independently as pairs but can be used by older groups. Activities include Making shapes, Eight pairs of numbers and Tile the square. KS2 List £14.00 (Members £10.50) www.atm.org.uk/shop/act081

Twelve More First Challenge Activities — for Years 3 and 4 2nd set of 12 photocopiable activities designed to be used to help children work independently as pairs but can be used by older groups. Activities include Seven up, One to eight and Triangle number cards. KS2 List £14.00 (Members £10.50) www.atm.org.uk/shop/act092

Challenge Activities — for Years 6 and 7 Set of 10 photocopiable activities designed to bridge the gap between primary and secondary approaches, however, they can be used by older groups. Activities include Quadrilateral allsorts, Fractional shapes and From negative to positive. KS2 , KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act077

Twelve More Challenge Activities — for Years 6 and 72nd set of 12 photocopiable activities to help bridge the gap between Primary and Secondary approaches. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act093

More Challenge Activities —for Years 5 and 6 Set of 10 photocopiable activities designed to be used by both older and younger groups according to ability. Activities include Build a tower, Ordering numbered cards and Triangle allsorts. KS2 List £14.00 (Members £10.50) www.atm.org.uk/shop/act082

CHALLENGE ACTIVITIES PACK KS2 - KS3 — for years 3 - 7 – to promote problem solving skills.This complete set of 54 photocopiable activities can to be used by both older and younger groups according to ability. List £56.00 (Members £42.00) www.atm.org.uk/shop/bun013

Association of Teachers of Mathematics

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ChallengeActivities

Intriguing problems for pairs working together

© Association of Teachers of Mathematics 2010 www.atm.org.uk

a photocopiable resource from the

Association of Teachers of Mathematics © Association of Teachers of Mathematics 2010 www.atm.org.uk



More ChallengeActivities

1 1 2 2 3 3 4 4

If you add them you get a square number. If you multiply them you get two repeated digits.

These are two consecutive odd numbers. If you multiply them theresult is five less than two hundred.

Half of one is equal to twice the other. Their sum is twenty.

If you multiply them you get four less than five times what you get if you add them. They are both even numbers.

If you add them you get a multiple of ten. If you multiply them you get a number that rounds to fifty.

If you multiply them you get a multiple of ten. Adding them gives a factor of eighty-four.

They add to a multiple of five.One number is two more thandouble the other number.

If you add them you get a multiple of seven.The difference between them is ten.

Can you put in the correct numbers

into the larger boxes in this rectangle?

49 25

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First ChallengeActivities




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Twelve More First Challenge

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Twelve More Challenge Activities


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ALL Challenge Activities packs contain black on white cards

with downloadable pdf’s in colour

Primary – Secondary

www.atm.org.uk 9

Midwinter Mathematics A downloadable collection of seasonal mathematical activities that were designed to use during the run up to Christmas. Developed by members of the joint ATM/MA Primary Group, the activities maintain a strong investigative and problem solving approach as well as ideas to encourage the development of children’s thinking skills. It includes practical tasks, problems, investigations and games, and the range of activities is suitable for children across the primary age range. KS1, KS2 List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL097

Commonwealth Games ChallengeDownloadable pack of mathematical/cross-curricular activities for the primary classroom designed to encourage children’s thinking skills. The pack aims to celebrate and engage mathematically with the Games but will continue to be relevant for future use; for example, links with school sports day or other sporting events. KS2List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL100

Eight Days A Week – a collection of puzzles and problems which will be of interest to people of all ages. This collection contains eight questions for each week of the year - enough for one-a-day and a bonus. A rich source of ideas for KS2 and KS3 classrooms.List £8.00 (Members £6.00) www.atm.org.uk/shop/act010

Puzzles, Problems and Questions to Activate the Mind 12 x A3 downloadable posters based on activities from ‘Eight Days a Week’. For use in the classroom as a focus for whole class teaching or for group work. KS2, KS3 List £12.00 (Members £9.00) www.atm.org.uk/shop/DNL079

Primary Questions and Prompts – this book has been adapted from Questions and Prompts to support primary practitioners in planning their teaching interactions, broadening their repertoire of questions and finding out more about how their pupils develop the ability to think mathematically. KS1, KS2List £14.00 (Members £10.50) www.atm.org.uk/shop/dis003

Primary Points of Departure is a collection of more than 70 starting points for investigative work covering the requirements of the National Curriculum. KS1, KS2 List £8.00 (Members £6.00) www.atm.org.uk/shop/act005

Puzzles Problems and Questions to activate the mindThe Association of Teachers of Mathematics7 Shaftesbury Street Derby De23 8ybTel: 01332 346599 Fax: 01332 204357e-mail: [email protected]: www.atm.org.uk Poster �� of �2

Try these on a calculator then predict what the next in the pattern will be when your calculator display is not big enough. 11 x 11, 111 x 111, 1111 x 1111, etc.

Puzzles Problems and Questions to activate the mindThe Association of Teachers of Mathematics7 Shaftesbury Street Derby De23 8ybTel: 01332 346599 Fax: 01332 204357e-mail: [email protected]: www.atm.org.uk Poster �� of �2

Try these on a calculator then predict what the next in the pattern will be when your calculator display is not big enough. 11 x 11, 111 x 111, 1111 x 1111, etc.


Midwinter Mathematics Santa’s delivery run

Rules

Place your counter on start.

Roll a dice and move the number of squares that is shown by the dice.

Now take turns to roll and each time use the dice score as the value of ∆ and work out the number of places to move.

If you land on Santa collect 5 more presents

Who can finish Santa’s delivery first and who has collected most presents?

You need:

A game board;

An ordinary dice marked 1 to 6;

Coloured pen (different colour for each child) or a set of counters so each child has their own colour.


Commonwealth Games ChallenGe Sprint race

1 2 3 4 5 6 7 8

Your task is to line up the runners for the start of the 100 metres sprintThere are 8 runners wearing red, yellow, green, blue, pink, white, black and orange tops

LEFT RIGHT

Red is not next to blue

Yellow and red are in adjacent lanes

White is not next to pink

There is only one runner to the right of pink

White is in one of the outside lanes

Black is one lane to the right of orange

There are two runners to the left of black

Green is two lanes right of blue

Suggestion - teachers may like to use different coloured cubes or cards which the children can manipulate

The Association of Teachers of Mathematics

Practical tasks, investigations and games, with an air of mystery . . .

Midwinter Mathematics

for KS1 and KS2


Engaging children’s thinking in cross-curricular work . . .

Commonwealth Games Challenge

NEW

“… starting points range over various areas of the National Curriculum, but all have problem solving in mind” Jenny Murray

www.atm.org.uk


410 www.atm.org.uk

30 Years On – This book is a collection of mathematical activities which offers the opportunity to revisit, revamp, renew, and revitalise classic ideas. KS2, KS3List £12.00 (Members £9.00 www.atm.org.uk/shop/act019

Mathematical Puzzles – Download Photocopiable Resource pack contains photocopiable cards of different puzzles, some numerical and some spatial. All the puzzles, except one, have a board with tiles which can be moved around on the board while the solution is being sought. KS2, KS3List £8.00 (Members £6.00) www.atm.org.uk/shop/act011

Algebra for a Purpose – This book contains six tasks which involve working with spreadsheets with activities that have been designed to introduce some key ideas in the early stages of algebra. Suitable for years 7 and 8, but can be adapted for younger and older pupils. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/dis018

Geometry Games – A Photocopiable Resource A collection of Geometry Games that can be played with the whole class or in small groups, keeping pupils engaged while working mentally in an interesting and challenging way. Topics include angles, triangles, quadrilaterals and polygons. KS2, KS3 List £22.00 (Members £16.50) www.atm.org.uk/shop/act061

What Kind of Game is Algebra? A Photocopiable Resource – A collection of more than 50 photocopiable algebra games. Suitable for whole class and collaborative group work, the activities will challenge pupils thinking and problem solving skills. KS2, KS3 List £22.00 (Members £16.50) www.atm.org.uk/shop/act055

FOR A PURPOSE

Sheep Pen – Pupil Sheet

Sheep Pen

A farmer wants to use 39 metres offencing to make a rectangular pen tohold sheep. The pen will be setagainst a brick wall.

The sheep pen needs to hold asmany sheep as possible.

1. Using an art straw to represent the fencing, find some differentways that you could make a sheep pen.

2. Put your measurements for the width and length of the sheep pen ona spreadsheet. Use the spreadsheet to calculate the area of each pen.

3. Draw a scatter graph of your results so far. Choose the width and areacolumns. Have you got enough data to solve the problem?

4. Discuss what to do next to help you find the maximum possiblearea for the sheep pen.

5. What if the farmer had a different length of fence?

6. Write a short letter to the farmer to explain how to construct thesheep pen to hold as many sheep as possible.

Do you still needto use a straw?

Can you get thespreadsheet to dothe work for you?

Algebra for a Purpose: using spreadsheets in KS 2/3 17

Fairground GameCD resourcesIntroduction 1

This first sheet can be used to demonstrate the ‘real’ game. Pupils can be invited to enter the five numbers in the yellow boxes. A number appears in the box on the right. They could try entering the numbers in a different order.

Introduction 2

This sheet reveals the numbers in the middle cells by changing the font colour. Pupils can try to identify the ‘rule’ that the spreadsheet uses.

1. layout

This sheet shows the layout of the grid on the spreadsheet.

1. complete

This sheet also includes formulae and can be used in discussion around questions 2, 3 and 4.

4. explain

These blank grids can be annotated. They can be used to show the underlying structure of the problem using numbers or letters.

Fairground Game28

50307_AFAP_IMPO.indd 28-17 7/3/05 4:34:20 pm

Sheep Pen – Pupil Sheet

Sheep Pen

A farmer wants to use 39 metres offencing to make a rectangular pen tohold sheep. The pen will be setagainst a brick wall.

The sheep pen needs to hold asmany sheep as possible.

1. Using an art straw to represent the fencing, find some differentways that you could make a sheep pen.

2. Put your measurements for the width and length of the sheep pen ona spreadsheet. Use the spreadsheet to calculate the area of each pen.

3. Draw a scatter graph of your results so far. Choose the width and areacolumns. Have you got enough data to solve the problem?

4. Discuss what to do next to help you find the maximum possiblearea for the sheep pen.

5. What if the farmer had a different length of fence?

6. Write a short letter to the farmer to explain how to construct thesheep pen to hold as many sheep as possible.

Do you still needto use a straw?

Can you get thespreadsheet to dothe work for you?

Algebra for a Purpose: using spreadsheets in KS 2/3 17

Fairground GameCD resourcesIntroduction 1

This first sheet can be used to demonstrate the ‘real’ game. Pupils can be invited to enter the five numbers in the yellow boxes. A number appears in the box on the right. They could try entering the numbers in a different order.

Introduction 2

This sheet reveals the numbers in the middle cells by changing the font colour. Pupils can try to identify the ‘rule’ that the spreadsheet uses.

1. layout

This sheet shows the layout of the grid on the spreadsheet.

1. complete

This sheet also includes formulae and can be used in discussion around questions 2, 3 and 4.

4. explain

These blank grids can be annotated. They can be used to show the underlying structure of the problem using numbers or letters.

Fairground Game28

50307_AFAP_IMPO.indd 28-17 7/3/05 4:34:20 pm

“This is really ‘the best of the rest’– gems from out of print ATM publications, chosen by Mike Ollerton (is any further recommendation needed?)” Sidney Tyrrell

“This book is a valuable resource, and teachers of upper primary or secondary classes would be well advised to get it.” Jenny Murray

“An ideal support to development of algebraic thinking …” Joe Murray

What’s in the pack? The Book has an introduction, which gives an overview of ideas behind the tasks, and teachers’ notes with pupil

activity sheets for each task. Case studies describe pupils’ work and how teachers have used the tasks. The CD has pupil activity sheets plus prepared spreadsheets and additional resources for whole class use via an interactive whiteboard or data projector.

©2005 ATM

We Can Work It Out

www.atm.org.uk 11

We Can Work It Out! – Collaborative Problem Solving for the Mathematics Classroom – a photocopiable book containing 25 sets of group problem-solving cards, each containing clues needed to solve a problem as well as some red herrings. KS2, KS3List £22.00 (Members £16.50) www.atm.org.uk/shop/act054

We Can Work It Out 2 – More collaborative Problem Solving for the Mathematics Classroom – a photocopiable book containing 20 sets of group problem-solving cards, each containing clues needed to solve a problem as well as some red herrings. KS2, KS3List £22.00 (Members £16.60) www.atm.org.uk/shop/act084

The Long and the Short – Download A large collection of puzzles and problems designed to enrich mathematics in the classroom. The problems are divided into shorter and longer activities which are suitable for individual, small group or whole class use and for teachers who want to promote rich tasks, key processes, developing mathematical thinking and problem solving. Suitable for KS2, KS3 List £16.00 Members £12.00) www.atm.org.uk/shop/DNL071

Maths with Ben Enrichment Activities – Joe Watson A range of interesting activities for enriching mathematics teaching which provides pupils with interesting challenges, helps develop thinking and problem solving skills and uses open ended activities. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act064

We can work it out 2More collaborative problem solving for the mathematics classroom

Fruit salad

Jenny had £2.65 change from £10.

Code word

The first number is: • a Fibonacci number • two less than a triangular number • >10

Canoe Safari

The hook for canoe 203 is at the top right of the array.

Fizzblobs

The total number of yellow and purple sweets is 6.

The Long & the Short

mathematics enrichment activitiesfor upper primary and secondary

“I regularly use this set as they are so good for encouraging open dialogue about the maths topic both within small groups and across the class” Christine Watson

“The tasks are aimed at children from year 4 to year 7 and in my experience they can be valuable and enjoyable for older children too” Ruth Tanner

“The problems cover a great range of topics and lead to good thinking by students” Peter Hall

Using a Dynamic Geometry package, or by careful drawing and measuring, draw any irregular quadrilateral. Find the midpoints of the sides P, Q, R and S.

Then join the mid-points of opposite sides. (PR and SQ cross at A).

What do you notice?

Now draw of the diagonals of the quadrilateral and find each of the midpoints B and C. Join BC. What do you notice?

Try with several different quadrilaterals. Can you explain your results?

PuzzleMidpointsS12

The Long & the Short

mathematics enrichment activitiesfor upper primary and secondary

S

R Q

PB

AC

19

CONTENTS

www.atm.org.uk

Exploring with Geoboards

412

Exploring Geometry with a 9-Pin Circular Geoboard – If you have ever wondered how to introduce your students to the world of geometric reasoning then this new book is for you. From visualising to calculating angles in shapes drawn on a circular 9 pin Geoboard, you can take them on a journey through the wonderful rigour of deductive reasoning. This great value pack includes a 44 page book, a clear 9 Pin Geoboard, coloured elastic bands, plus an extended 100+ page PDF file that includes images and questions for use on a classroom whiteboard. KS3List £22.00 (Members £16.50) www.atm.org.uk/shop/act094pk

PDF FILE ONLY – List £16.00 (Members £12.00) www.atm.org.uk/shop/DNL098

www.atm.org.uk

NEW


ExploringArea andFractionswithGeoboards

COMING SOONFrom Geoff Faux – Exploring Area and Fractions with Geoboards – Geoff Faux has devised a sequence of tasks that develop a deep conceptual understanding of area and fractions. The 9 pin square Geoboard, encourages the learner to reason, explore and go broader and deeper into these ideas. Includes, a book, electronic files and four ‘plastic’, wipe-clean, 12cm x 12cm Geoboard masters. KS2, KS3List £22.00 (Members £16.50) www.atm.org.uk/shop/act095

Square Geoboards ‘in action’

“Exploring Geometry with a 9-Pin Circular Geoboard is a great book. Accessible and well-thought out, it provides a wealth of inspiration for teachers to give their learners something they can really get their teeth into. The ideas within Geoff’s book will fit nicely into any mathematics curriculum so that every student can be conjecturing, convincing and engaging with the essence of mathematics”Tom Francombe

“With clear diagrams that can be projected or copied and a narrative that opens up the problems for any reader, Geoff Faux has written a book that deserves a place in the collection of every maths teacher” Heather Davis

Want to know how to construct a 9 pin Geoboard using Geogebra? Watch this you tube clip by Geoff Faux


wwwatm.org.uk 13

Rich Task Maths 1 & 2 Engaging mathematics for all learners Barbara Ball and Derek BallThese two books contain a collection of engaging mathematical tasks based on the successful Task Maths series. The accessible challenges are addressed to the learner and are designed to extend their knowledge and understanding and comes with hints on how to tackle the activities! There are computer spreadsheet files for some of the tasks. There are hints for the learner on how to tackle the activities.

Rich Task Maths 1 KS2, KS3 List £22.00 (Members £16.50) www.atm.org.uk/shop/ACT078

Rich Task Maths 2 KS3List £22.00 (Members £16.50) www.atm.org.uk/shop/ACT079

From EYFS to KS3 and Beyond – DownloadMike Ollerton and Helen WilliamsA collection of fifteen problem ideas collated by Helen Williams and Mike Ollerton and used at the ‘Workshop of puzzles for EYFS to KS 4 classrooms’ at a past ATM conference. The book explores how ideas taken from common themes could be used to support learners’ concept development from EYFS stage into Key Stages 2, 3 and 4 and in some cases A-level. The activities in the book are great starters and bases for mathematical talk, understanding and development and deal with a wide range of concepts in a simple and refreshing way.List £8.00 (Members £6.00) www.atm.org.uk/shop/DNL087

Problem Solving Approaches to Teaching, Learning and Assessment at KS2 and KS3 Download – Mike Ollerton This is a collection of problem solving ideas used during an ATM conference. The ideas are designed to look how we can interweave problem solving approaches into everyday mathematics lessons, so pupils use and apply their developing knowledge of addition, subtractions, multiplication, division, fractions, decimals, indices, angle, sequences, tessellations, 2D shapes ... The ideas have been adapted from various sources, plus a few that Mike invented himself (although as Mike says,

“Even these I must have gained the germ of an idea from some source or another”). All the activities can be adapted for mixed-attainment classes. KS2, KS3 List £8.00 (Members £6.00) www.atm.org.uk/shop/DNL 022

ecnerefnoC EMCB/ notrellO ekiM 0102 lirpA MTA © 1 egaP

“Great for encouraging independent investigation” Val Griffiths

“I can recommend these books wholeheartedly as part of your collection. There are many excellent lessons waiting for you and your students” Heather Davis

Rich Task Maths 2 engaging mathematics for all learners

written for learners in Y9 to Y11

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

D

written for learners in Y5 to Y8

Both books include an accompanying CD containing an interactive colour version of the book for use in the classroom as well as spreadsheet files for some of the tasks. It also includes colour and black and white versions of the book so pages can be printed off.

R e s o u R c e s© 2011 Association of Teachers of Mathema

tics

www.atm.org.uk Barbara Ball Derek Ball

R e s o u R c e s

1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 2021 22 23 24 25 26 27 28 29 3031 32 33 34 35 36 37 38 39 4041 42 43 44 45 46 47 48 49 5051 52 53 54 55 56 57 58 59 6061 62 63 64 65 66 67 68 69 7071 72 73 74 75 76 77 78 79 8081 82 83 84 85 86 87 88 89 9091 92 93 94 95 96 97 98 99 100

D 1— 23© 2011 Association of Teachers of Ma

thematics

www.atm.org.uk Barbara Ball Derek Ball

www.atm.org.uk


414

ATM

Collect

ions

Questions and Prompts for Mathematical Thinking – ‘Good questioning, by teachers and learners is the key to learning mathematics’. A wonderful collection of challenging questions which are designed to tease out structures and concepts at the heart of mathematics. They present a framework which can be used by teachers to develop their own approaches to topics, broaden their repertoire of styles, explore mathematics. This best selling book can transform the way mathematics is taught. KS3, KS4 List £14.00 (Members £10.50) www.atm.org.uk/shop/dis002

Learning and Teaching Mathematics Without a Textbook –Mike Ollerton – A wide collection of starting points and extension tasks to support teachers and help students engage with the intrigue, surprise and fascination of mathematics. The approach is investigative, tapping into a basic human condition of inquisitiveness. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act017

Everyone is Special – or as it is sometimes referred to Learning and Teaching Mathematics 2 – Mike Ollerton. For mathematics teachers across the entire attainment range. Contains ideas, problem solving activities and starting points that can be used in schemes of work across the age ranges. KS2, KS3List £14.00 (Members £10.50) www.atm.org.uk/shop/act048

Points of Departure – Download only Books 1, 2, 3 and 4 – Four separate books of investigations and starting points ready for a wide range of activities, including Number, Algebra, Shape and Space, and Handling Data. KS2, KS3List £6.00 (Members £4.50) POD1 – www.atm.org.uk/shop/DNL003 POD2 – www.atm.org.uk/shop/DNL004 POD3 – www.atm.org.uk/shop/DNL005 POD4 – www.atm.org.uk/shop/DNL006

POINTS OF DEPARTURE – PACK – Download only Books 1–4 This classic ATM resource contains a fantastic collection of starting points for mathematical investigations and is suitable for a wide range of ages and abilities.,There are four separate books of investigations with a wide range of activities including Number, Algebra, Shape and Space and Handling Data. Each is presented in its original format, beautifully hand written by one of the original authors. KS2, KS3List £18.00 (Members £13.50) www.atm.org.uk/shop/bun014

POINTS OF DEPARTURE 1

An ATM Activity Book

Learning and Teaching MathematicsWithout a Textbook

“I would recommend this book to anyone looking to add some variety and interest to their lessons. It has certainly been a real influence on my development as a teacher of mathematics” James Robinson

“This book forms an invaluable resource for the generation of key questions, whether used for lesson planning or in my own mathematical study” James Robinson

POINTS OF

DEPARTURE 1

An ATM Activity

Book

15www.atm.org.uk

Membership 10 good reasons to join ATM

1 Professional support – being part of a community where ideas are generated and shared.

2 MT journal – 6 editions each year focusing on the teaching and learning of mathematics. Essential reading for all those teaching mathematics.

3 Annual Easter Conference – offering high quality recognised CPD with discounts for members and networking opportunities.

4 25% discount off the brilliant ATM resources and materials.

5 ATM e-news – containing current activities, news and conference information.

6 Members area of web site – including the fantastic online back catalogue of articles and interactive resources links.

7 Networking opportunities at local branches and the annual conference.

8 Tax deductible subscriptions for personal members.

9 Accreditation – the route to Chartered Mathematics Teacher Status (CMathsTeach).

10 Eligibility to vote on resolutions that shape the direction of ATM.

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Thinkers Chris Bills, Liz Bills, Anne Watson and John Mason A fantastic collection of activities to provoke and deepen mathematical thinking — Book contains sixteen different contexts, for exemplifying and generalising the processes at the heart of doing mathematics, that can be integrated into any mathematics lesson. Ideas suitable for learners at KS2, KS3, KS4, KS5, AS/A2 List £14.00 (Members £10.50) www.atm.org.uk/shop/act057

Shapes in Space This beautifully illustrated book explains important properties, provides historical background and includes activities and questions about Platonic and Archimedean solids. Encourages classroom activities and discussion. KS3, KS4List £15.00 (Members £11.25) www.atm.org.uk/shop/bun001

People Maths – Hidden Depths – Download Alan Bloomfield and Bob Vertes These ideas use people to act as moving pieces of a mathematical puzzle. The activities have the potential for rich mathematical exploration and investigation with the emphasis on discussion. The book contains 43 different activities with additional support material. KS1, KS2, KS3, KS4 List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL014

More People, More Maths Bob Vertes and Alan Bloomfield. The sequel to People Maths: Hidden Depths which includes over 30 more ideas for the Primary and Secondary classroom. These all involve groups of children working to solve problems and puzzles or to model mathematical ideas. In these activities the group will have to work together and move to tackle the maths. KS2, KS3, KS4, ITT List £16.00 (Members £12.00) www.atm.org.uk/shop/act069

Mathematical Journeys – Departure Points A compilation of the best of the enormously successful Points of Departure series (see page 14). It contains starting points for mathematical exploration suitable for a wide range of ages and attainment which can be adapted to any scheme of work. KS2, KS3, KS4 List £8.00 (Members £6.00) www.atm.org.uk/shop/act065

Suitable for secondary schools, the material will develop students’

spatial, observational and language skills by identifying, comparing,

describing and classifying properties of polyhedra.

Book and Poster

“A great collection of ideas that work really well in a range of settings that can be adapted to fit any area of maths and to suit any group of learners” Christine Watson

www.atm.org.uk


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Functioning Mathematically Barbara Ball, Derek Ball & Mike OllertonA collection of mathematical activities which will help learners to develop the skills and confidence to apply, combine and adapt their mathematical knowledge to new situations in their life and work. Functioning Mathematically will challenge learners to think for themselves and encourage learners to be actively involved in their mathematics. It includes 37 different activities and commentaries, helps teachers plan how they can be involved in the activities and includes teacher and student pages KS3, KS4ebook (Download ONLY) List £14.00 (Members £10.50)www.atm.org.uk/shop/DNL010Book plus Download List £16.00 (Members £12.00)www.atm.org.uk/shop/DNL909

Decoding Mathematics – Photocopiable Resource by Derek Ball. This book uses codes in order to make mathematics clearer. It includes photocopiable activities with hints and suggestions for further activities. KS2, KS3, KS4 List £14.00 (Members £10.50) www.atm.org.uk/shop/act051

“Sometimes you have to break the code – sometimes you have to make your own”

Sorting by Symmetry – Bob Burn This book explores ways to combine one symmetry with another, e.g. rotations and reflections combine with themselves and with each other to form symmetry groups. The book gives a clear structure for most symmetry work in school. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act062

Linking Cubes and the Learning of Mathematics – Paul Andrews A range of activities to explore mathematical structures and to engage with proof. Learn how we can square a triangle to get a cube and how we can use geometry to help us learn algebra. KS2, KS3, KS4 List £18.00 (Members £13.50) www.atm.org.uk/shop/act016

In our Classrooms Strategies for the Teaching of Mathematics This compilation of ideas includes accounts of teachers’ work in developing their students’ mathematics and strategies which can be applied in any classroom and in any context. KS2, KS3, KS4 List £8.00 (Members £6.00) www.atm.org.uk/shop/act045

Linking Cubesand the Learningof Mathematics

Making algebraic structureand mathematical thinking

accessible to learners of all ages

“What better way to engage students and grab their attention” Peter Hall


www.atm.org.uk 21

Big Ideas — A holistic scheme for pupils aged 11-12 Big Ideas is a set of ideas, resources and questions to challenge and encourage your learners to understand some of the most important concepts in mathematics. The book and accompanying electronic file are packed with sufficient content for an entire year and offer a perfect starting point for learners commencing their secondary mathematics journey. Trialled and tested in UK schools, Big Ideas is ready to change the way your learners understand and experience mathematics. Teacher’s Guide containing seven modules each including ideas for drawing out concepts in different areas of mathematics. Each module is about half a term’s work. Book with CD. KS3 List £22.00 (Members £16.50) www.atm.org.uk/shop/act080

Bigger Ideas — A holistic scheme for pupils aged 12-13 Bigger Ideas is a follow up to Christopher Martin’s first ATM publication, Big Ideas. The ideas use the same ways of working, valuing depth above breadth and instead of targeting coverage, aim to mine tasks and starting points for as much mathematics as possible. Individual modules are intended to fit into a half term. Each module is split into lessons that establish the theme and explore ideas further. The book is accompanied by a PDF file with direct links to photocopiable resource sheets, interactive activities and additional information from websites, articles and books. KS3 List £22.00 (Members £16.50) www.atm.org.uk/shop/act096

“I would heartily recommend it to all teachers who wish to inspire their students towards mathematical thinking and discovery” Dr. Ray Huntley

BigIdeasa holistic scheme for pupils aged 11-12

BIGGERIDEAS

a holistic scheme for pupils aged 12-13

NEW“Resource books, written to offer mathematics teachers ideas for use in their classrooms, whilst being imbued with a deep pedagogical basis for developing students’ conceptual knowledge are a rare treat.

When such publications are written by practicing teachers, whose ideas have been ‘tried and tested’ with real students in real classrooms, a further level of value is evident.

Following his earlier publication ‘Big Ideas’ Chris has produced another high quality resource which is both accessible to teachers and, therefore, to their students.

Recurrent themes of Key questions, Resources, Suggestions and ideas, together with references to other source materials (NRICH, ATM publications, Vi Hart) offer the reader further food for thought.” Mike Ollerton

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Secondary – Post 16

422 www.atm.org.uk

Forty Problems for the Classroom A Photocopiable Resource – Derek Ball A book of activities to help learners of all ages to develop strategies for solving mathematical problems. Contains hints, prompts and suggestions for further activities. KS2, KS3,KS4 List £14.00 (Members £10.50) www.atm.org.uk/shop/act050

Forty Harder Problems for the Classroom A Photocopiable Resource – Derek Ball A collection of challenging mathematical problems for anyone over the age of 11 who enjoys thinking about non-routine problems. Comprehensive hints which outline the knowledge and skills needed to solve the problems and suggestions for further work are included. KS3, KS4, KS5 List £14.00 (Members £10.50) www.atm.org.uk/shop/act060

Proof in Elementary Geometry Geoff Giles – This book uses images to provide reasons for the truth of many theorems in geometry. In other words - can we prove it? KS4 and KS5 List £15.00 (Members £11.25) www.atm.org.uk/shop/act018

Mathematics for Every Occasion – Colin Foster This book gives suggestions for interesting, rich mathematical activities on topical themes occurring throughout the year. The book includes 21 different occasions with several possible suggestions, leading to interesting mathematical possibilities for each one including when it snows, when it’s the last week, non-uniform day. KS2, KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/act075

Variety in Mathematics Lessons – Colin Foster A guide for teachers who wish to offer a greater diversity of experiences in their school mathematics lessons. Fourteen different models of mathematics lessons are described, alongside concrete examples of how they can be implemented within core curriculum topics. Prompts, questions and suggestions are provided. KS3, KS4 List £14.00 (Members £10.50) www.atm.org.uk/shop/act067

Proofin Elementary

Geometry

Making Senseof Mathematics

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C “I absolutely love this book. This is because every idea within can be adopted and adapted for use in and to enhance any scheme of work” Mike Ollerton

“This book is a fantastic inspiration for rich ideas and drawing a little colour and interest into mathematics lessons.” Emma Folman

23www.atm.org.uk

Post 16

These have worked for us at A Level Download – 96 page collection of ideas and starters that have been used by teachers in their A level classrooms. Activities: sequences and series, some calculus starters, other algebra starters and trigonometry and loci. AS Level List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL016

These have also worked for us at A Level Download – The second book of ideas and starters. Activities include: graphs and functions, calculator work, trigonometry, vectors, complex numbers, differences and calculus. AS Level List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL017

Whatever Next – Download Aimed particularly at those teaching A Level it contains a collection of patterns, games, data, problems and suggested practical equipment from which students can develop mathematics. Although some possible approaches are outlined, the ideas are presented in a manner which encourages choice and flexibility. AS Level List £10.00 (Members £7.50) www.atm.org.uk/shop/DNL020

Algebra at A Level This book explores a number of questions which complement computer algebra systems. There are sections on mathematical skills, modelling and conceptual understanding. KS5 List £6.00 (Members £4.50) www.atm.org.uk/shop/dis001

Reaching the Core of AS Mathematics Derek Ball, Kath Cross, Gill Hatch, Anne Haworth, Sue Johnston Wilder and Barbara BallCD, Site Licence and Book – CD 6 programs – reinforce & consolidate algebraic skills in the context of solving problems. Book includes detailed teacher’s notes and photocopiable student resources including activities and games which develop an understanding and enjoyment of mathematics, help with reasoning, are accessible to all students and provides extension and enrichment tasks. AS LevelList £50.00 (Members £37.50) www.atm.org.uk/shop/sof070

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“I would certainly recommend this book to anyone teaching first year pure mathematics and it might even inspire you to create similar activities yourself!” Alison Parish

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Ideas for 6th Form Mathematics – NEW

Ideas for 6th Form MathematicsPure Mathematics & Statistics – Colin Foster Brings variety to the pure mathematics and statistics topics within 6th form mathematics. It offers a wealth of innovative lesson ideas for important areas of post-16 mathematics teaching, bringing variety to the Pure Mathematics and Statistics curriculum areas within AS/A2 mathematics and IB. The material is arranged by topic and enables teachers to move away from an over-emphasis on routine textbook-based work. Hints and suggestions are included to make it clear where the ideas may lead as well as additional material for extension. KS5 List £18.00 (Members £13.50) www.atm.org.uk/shop/act083

Ideas for 6th Form MathematicsFurther Pure Mathematics and Mechanics – Colin FosterOffers a wealth of innovative lesson ideas for important areas of post-16 mathematics teaching, it brings variety to the Further Mathematics and Mechanics curriculum areas within AS/A2 mathematics and IB. The material is arranged by topic and enables teachers to move away from an over-emphasis on routine textbook-based work. Hints and suggestions are included in addition to ideas and extension activities. KS5 List £18.00 (Members £13.50) www.atm.org.uk/shop/act091

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Simultaneous Equations

[11]

[B] Risqué simultaneous equations A mother is 21 years older than her child. In exactly 6 years from now, the mother will be exactly 5 times as old as the child. Where is the father?

Letting the mother’s age be m years and the child’s age be c years leads to the simultaneous equations:

m = c + 21 m + 6 = 5(c + 6)

Substituting the first equation into the second gives c + 21 + 6 = 5c + 30

So –3 = 4c, giving c = 34− year; i.e., –9 months. So if the child is 9 months before birth then the father must be...

Risqué simultaneous equations

A mother is 21 years older than her child.

In exactly 6 years from now, the mother will be exactly 5 times as old as the child.

Where is the father?

Assn of Teacher of Mathematics - Sample pages from Ideas for Sixth Form Mathematics: atmbuy.net/act083

© ATM 2012 • No reproduction (including Internet) except for legitimate academic purposes • [email protected] for permissions.

“I would highly recommend using these activities with each topic in order for the students to be able to respond appropriately to questions that require explanations!” Heather Davis

25www.atm.org.uk

MATs

Mathematical Activity Tiles – devised by Adrian PinelExtensively used from infant to post 16. These

polygon-shaped MATs can be used for investigating shape and space, tessellations, reflection, rotation, angle and tiling patterns. They may also be assembled into polyhedra

using sellotape or copydex glue. The material makes them ideal for experimental approaches to

the construction of polyhedra. It is possible to re-use the MATs many times.

Small MATs Pack Contains: 300 each: equilateral triangles and squares, 200 pentagons, 100 hexagons, 50 each octagons, isosceles triangles and rectangles. KS1, KS2, KS3, KS4 List £84.00 (Members £63.00) www.atm.org.uk/shop/mat017

Giant Class MATs Pack Contains: 300 each: equilateral triangles and squares, 200 pentagons, hexagons, octagons, isosceles triangles and rectangles, 100 each decagons and dodecagons. KS1, KS2, KS3, KS4 List £178.00 (Members £133 .50) www.atm.org.uk/shop/mat015

100 equilateral triangles List £8.40 (Members £6.30) www.atm.org.uk/shop/mat003

100 squares List £8.60 (Members £6.45) www.atm.org.uk/shop/mat004 100 regular pentagons List £9.00 (Members £6.75) www.atm.org.uk/shop/mat005

100 regular hexagons List £10.40 (Members £7.80) www.atm.org.uk/shop/mat006

100 regular octagons List £13.60 (Members £10.20) www.atm.org.uk/shop/mat007

100 isosceles triangles List £8.60 (Members £6.45) www.atm.org.uk/shop/mat008

100 rectangles List £8.60 (Members £6.45) www.atm.org.uk/shop/mat009

50 regular decagons List £12.00 (Members £9.00) www.atm.org.uk/shop/mat011

50 regular dodecagons List £12.80 (Members £9.60) www.atm.org.uk/shop/mat012

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Software

Grid Algebra – CD + booklet Dave Hewitt A new visual and kinaesthetic way to learn about number and algebra, as well as pre-algebra. Learners build links between numeric and algebraic expressions and numbers

and physical movements around a grid. Grid Algebra helps learners with reading and writing formal numeric or algebraic expressions,finding equivalent expressions (plus factorising and expanding brackets), substitution,

simplifying expressions and solving equations through taking inverse journeys around the grid, number work including mental

arithmetic, factors, multiples, negative numbers, order of operations, and practising multiplication tables, using a letter to represent a number and creating algebraic expressions. The CD Rom includes: lesson ideas with prepared grids and worksheets, computer generated tasks, with a wide range of difficulty levels, an interactive grid to explore and design grids for whole class use or to engage with individual learners. KS2, KS3, KS4 Single Use — List £60.00 (Members £45.00) www.atm.org.uk/shop/sof071 Site Licence — List £180.00 (Members £135.00) www.atm.org.uk/shop/sof074

‘L’ - a Mathemagical Adventure CD + booklet It is a very hot day. You are sitting on the grass outside a crumbling palace. Your sister is reading a book called ‘Fractions and the Four Rules – 5000 Carefully Graded Problems’. You are bored and

the heat is making you feel a little sleepy. Suddenly you see an old man dressed as an abbot. He glances at you nervously and disappears through a small door in the side of the palace . . . This is the start of a Mathemagical Adventure. Once on their journey adventurers try to solve many and varied mathematical problems that will help them to find the final solution. Along the way there will be lots of opportunities for discussion, thinking, working together, using logic and reasoning, as well as having fun.Published in 1984 for BBC computers and now re-

released making it available to another generation of adventurers. Still listed as one of the top 10 BBC games

ever… ‘L’ is suitable for adventurers in upper KS 2/3, or older. KS2, KS3, KS4Single User — List £25.00 (Members £18.75) www.atm.org.uk/shop/sof073Site Licence — List £65.00 (Members £48.75) www.atm.org.uk/shop/sof075

Developing Number 2 CD + booklet This software was designed to develop student confidence in numeracy through stimulating activities.

The programs are entitled Tables, Complements, Number and Powers of 10. They are suitable for work on multiplication facts, number bonds, place value, mental arithmetic and support a variety of levels of difficulty. Pupil programs available in English, French and Welsh. KS1, KS2, KS3, KS4 Single User — List £50.00 (Members £37.50) www.atm.org.uk/shop/sof003Site Licence — please email [email protected]

FREE A4 book of activities and resources to support the use of Developing Number 2 software is included. (Book also available to buy on-line www.atm.org.uk/shop/gen026)

Developed by Dave Hewitt

Programmed by Paul Hayton

Grid Algebra ‘on display’ BCME8 April 2014

“The programs in Developing number are excellent and every child should have access to them” Julie Gibbon

27www.atm.org.uk

Card games

27

Two Number Jigsaws — Cards Multiplication and Division Facts These puzzles provide practice and consolidation for multiplication and division at KS2. KS2, Lower KS3 List £9.00 (Members £6.75) www.atm.org.uk/shop/act024

Two Number Jigsaws — Cards Order of OperationThese two puzzles provide practice and consolidation for ordering operations at KS3. KS2 (upper), KS3 List £9.00 (Members £6.75) www.atm.org.uk/shop/act025

Two Algebra Jigsaws — Download Two sets of 25 square playing cards which make up to larger 5 x 5 squares by matching equivalent algebraic expressions. List £5.00 (Members £3.75) www.atm.org.uk/shop/DNL058

Fourbidden Card Game — Download Mathematical card game. Promotes the use of mathematical language. PDF – ready to print onto card. KS2, KS3List £5.00 (Members £3.75) www.atm.org.uk/shop/DNL001

Fourbidden Too Card Game — Download PDF – ready to print onto card. KS2, KS3, KS4List £5.00 (Members £3.75) www.atm.org.uk/shop/DNL015

Vertigo Card Game – Download Vertigo allows for discussion and investigation at the same time as playing a game with simple rules but with many ramifications. Work in pairs or bring everyone together to discuss what tiles they found. KS2, KS3 List £3.00 (Members £2.25) www.atm.org.uk/shop/DNL002

FOUR BIDDENASSOCIATION OF TEACHERS OF MATHEMATICS7 Shaftesbury Street Derby DE23 8YB - 01332 346599

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Fourbidden ‘on display’ BCME8 April 2014

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Numeracy posters

Classroom Activities from the Numeracy Posters — Phil Dodd – Set of 12 A4 photocopiable sheets based on ATM Numeracy Posters – How To … Includes activities for whole class teaching designed to develop pupils’ numeracy skills. KS2, KS3 List £12.00 (Members £9.00) www.atm.org.uk/shop/vis019

Numeracy Posters – Using Numbers Set of EIGHT different A3 Posters. Open ended classroom ideas set around the theme of numeracy. KS2 and KS3 List £14.00 (Members £10.50) www.atm.org.uk/shop/vis007

Numeracy Posters – How To … Set of EIGHT different A3 Posters + TWO A2 Posters. A mixture of materials with an emphasis on in-depth understanding of number and its applications. KS2, KS3 and KS4 List £15.00 (Members £11.25) www.atm.org.uk/shop/vis008

Numeracy Posters – Download The Language of Maths – Set of EIGHT different A3 Posters describing the basic operations and the different words we use for these operations along with some questions – How? and Why? KS2, KS3 List £8.00 (Members £6.00) www.atm.org.uk/shop/DNL076

Celtic Knot Posters A1 colour poster giving instructions on how to draw Celtic knots, together with A2 poster of a completed knot. These posters provide introductory starting points to a wealth of mathematical activity. KS2, KS3, KS4 List £8.00 (Members £6.00) www.atm.org.uk/shop/vis027

BCME8 April 2014

29www.atm.org.uk

Posters and Concept cartoons

Primitives – Posters and Booklet Download A set of four, A3, highly original posters exploring the patterns emerging in numbers from looking at their prime factors. The posters can be used separately or joined together for consideration of larger numbers. A booklet of ideas is included. KS2, KS3 , KS4 List £6.00 (Members £4.50) www.atm.org.uk/shop/DNL080

Concept Cartoons™ Posters Set of 20 full colour A3 posters to get pupils thinking and talking about mathematics. Highly motivating, they lead pupils into maths problem solving and support assessment for learning. They cover the key areas of mathematics, with background information and ideas for follow up activities. KS2, KS3 Poster Pack - Set of 20 Full Colour A3 List £12.00 (Members £9.00) www.atm.org.uk/shop/exs008

Concept Cartoons™ in Mathematics Education Both the Book and CD use cartoon-style drawings in which different characters offer their views, starting points and opportunities for discussion. They come with background text to explain the mathematics behind the different alternatives and to suggest possible follow up activities. Each has a blank speech bubble to encourage learners to add additional ideas to the discussion. They are highly motivating for pupils and are easy to use in the classroom as a part of normal teaching. KS2, KS3 Book - 130 black and white A4 photocopiable Concept Cartoons covering the main areas of mathematics.

Book - List £40.00 (Members £30.00) www.atm.org.uk/shop/exs004

CD – 130 full colour Concept Cartoons including partial animation and full interactivity.

CD Single User - EXS005 List £54.00 inc VAT Members £40.50 inc VAT

CD Site Licence - EXS006 List £102.00 inc VAT Members £76.50 inc VAT

Primitives

© Ptolemy 2008

Association of Teachers of Mathem

atics

This accompanying guide to the

collection of Primitives Posters exp

lains the

concept behind the posters and g

ives some ideas for how to use th

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classroom.

© Ptolemy 2008 Association of Teachers of Mathematics

“Designed to promote more effective teaching, learning and assessment in mathematics. They use cartoon-style drawings in which different characters offer their views and are highly motivating for pupils, provide stimulating starting points for learning, and offer invaluable opportunities for discussion and are easy to use in the classroom as a part of normal teaching” Peter Hall

Branches & Publication order informationATM Branches provide opportunities to meet, & share mathematical ideas with others in your local region

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Documents

NEW WEBSITE MATHEMATICS RESOURCES 201415 · Northamptonshire NN11 6JT Facilities include an indoor leisure complex with pool, sauna, steam room and whirlpool spa. There’s also a