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- Out of School Engagement
- Promoting Mathematics

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**Favourite Number Election**

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A conceit to promote mathematics across your school's community — to encourage shared mathematical talk amongst students, their families and staff — the 'Favourite Number Election' could possibly be used to mark (in part) days such as the NSPCC's Number Day (2 February in 2018: click here for more information), πday (14 March every year), Ada Lovelace Day (9 October 2018), etc.

The ballot paper is provided here to be printed A4 double-sided and folded to make an A5 booklet. The 20 'candidates' included on the paper are numbers that secondary school students should / may come across, to varying degrees of depth, or will otherwise be able to access, but the ballot paper can of course be customised by adding and/or removing numbers if/as wished to suit the school, age group, and purpose.

Suggested use:

- Run a whole-school election campaign before students, staff and possibly families vote for their favourite number using the ballot paper.
- Students volunteer to be advocates, campaigners for respective numbers, or numbers are assigned to classes, houses, etc.
- Run a hustings, perhaps in school assemblies, where each advocate or group of advocates argue their case for their candidate.
- Do some polling before the actual election, gather sample data and use such in mathematics / statistics classes.
- Publicise the result, with reasons why the number won, across the school and possibly wider.

**Random Acts of Maths**

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Random Acts of Maths (RAMs) are Mathematical problems, puzzles, teasers, provocations, jokes, quotes, etc., to be offered or given to students (outside of lessons), their families, school visitors, et al., for no other reason than to make people

Designed to promote the doing of mathematics, and, indeed, to promote the promotion of the doing of mathematics, each RAM aims to stoke the recipient's curiosity, to encourage the recipient to want to find out more by hinting at the more that there is beyond — or down deeper in — the mathematics of the RAM itself. RAMs can be carried out either spontaneously, or as part of a deliberate school strategy.

The RAMs are presented here in pdf, doc and png format as A6-sized 'notes': four on an A4 sheet to print double-sided and cut-to-size, with a message on the reverse encouraging the recipient to 'pass it on'. They are also presented individually on ppt slides for those teachers who are using them in a classroom setting or for use on school media presentations.

*mathier*. Whilst the areas of mathematics shared through the RAMs may not necessarily be found in a typical school mathematics curriculum, they are intended to complement — and can be accessed with little if any technical knowledge or skill beyond that developed in — such curricula.Designed to promote the doing of mathematics, and, indeed, to promote the promotion of the doing of mathematics, each RAM aims to stoke the recipient's curiosity, to encourage the recipient to want to find out more by hinting at the more that there is beyond — or down deeper in — the mathematics of the RAM itself. RAMs can be carried out either spontaneously, or as part of a deliberate school strategy.

The RAMs are presented here in pdf, doc and png format as A6-sized 'notes': four on an A4 sheet to print double-sided and cut-to-size, with a message on the reverse encouraging the recipient to 'pass it on'. They are also presented individually on ppt slides for those teachers who are using them in a classroom setting or for use on school media presentations.

Some suggested uses:

- Teachers pocket a selection of RAMs to randomly hand out to children during mid-morning breaks or lunch times — perhaps on days such as World Maths Day (7 March in 2018), πday (14 March every year), the NSPCC's Number Day (2 February in 2018), National Numeracy Day (16 May 2018), Ada Lovelace Day (9 October 2018), or, indeed, any other day.
- Place a stack of RAMs (printed on card) in a prominent position in your school's reception for visitors, maybe with an accompanying notice.
- Enclose a RAM, occasionally, in correspondence with families.
- Put a RAM a day on your school's website, and/or reception area media presentation.
- On Open Evenings, or other whole school events, give one RAM to a student ambassador, prefect, etc., as a badge to wear and thus spike visitors' curiosities enough for them to ask the students about them.
- Parent/carers may use such, customising if they wish with positive messages, doodles, etc., and secretly placing into the lunch boxes, or school bags of their children before they go to school.

- PDF format

- Doc format

- PNG format

- PPT format
- RAMS (with solutions) — 241-280
- RAMS (with solutions) — 201-240
- RAMs (with solutions) — 161-200
- RAMs (with solutions) — 121-160
- RAMs (with solutions) — 81-120
- RAMs (with solutions) — 41-80
- RAMs (with solutions) — 1-40

**xMaths Card**

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A Christmas card full of mathematical problems and curios, the xMaths card is designed for schools to distribute to students and their families, to promote the doing of mathematics as and end in itself, encouraging shared maths-play over the holidays.

The card is presented for an A4 double-sided print and fold to A5. Various formats are provided for schools to customise as wished, perhaps with the school's and/or teacher(s) name(s). A nice touch that is to replace the tree and problems in the right-hand column of the front cover with festive photographs of your school's mathematics' teachers as children.

Downloads:

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A set of over 50 A4 (or A3) sized posters displaying the formulae that students will come across in the course of their mathematics and statistics studies up to GCSE. Each poster is designed to be printed on acetate and affixed to windows for a 'stained glass' effect, as illustrated in the image below.

Downloads:

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Downloads:

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Downloads:

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A set of 4-page booklets, designed for children to improve their recall — and the rapidity of their recall — of simple multiples, from 1 × 1 to 12 × 12, through embedding their

Working through each booklet will support children's understanding of the commutative nature of multiplication, their appreciation of the link between multiplication and division, their appreciation about how our language makes a difference to our understanding, and their burgeoning understanding of multiples relatively as rates. Each booklet — presented for an A3 double-sided print and fold to A3, or printed in 4 separate A4 pages — has QR code links to the excellent and simple online 'Maths from Scratch' resources, which puts recent research into practice with children practising groups of four multiples at a time at gradually increasing speeds. Each booklet ends with a gradated 'mission impossible' test that children can complete timed or not.

Downloads (all pdf):

**Extra Stuff to Do at Home Corridor Cards**(Click here to return to the menu)

A set of over 50 brochure style leaflets (more added regularly), full of mathematical problems, that are designed to promote the doing of mathematics

*for the sake of it*, without that is any externally derived compulsion to do so, with no time-limits or deadlines or expectation of completion. The leaflets are intended to be housed in school corridors for students to pick up a problem as and when and if they wish. It is important to note that they are not a replacement for homework, but rather a compliment to it. They are about promoting an unashamedly purist approach to mathematics with students, that we do mathematics in other words because we are curious about finding things out, because we find some things intriguing and want to find out more, because of the sense of adventure that comes with solving problems and, indeed, in doing so, finding more problems to solve.
On each card students are encourage to 'Have a go at some (or all!) of these problems at home. They are problems we find interesting or just plain amusing. Ask your parents, brothers and sisters, or friends to try and do the problems with you, or against you!' Students should be encouraged to return the card to a teacher and, if possible, have a chat with them about it. Ideally, students who attempt the most problems should be rewarded at the end of a half or full term — being celebrated perhaps an assembly and/or through school-home communication (Newsletter, special single-item communication from the Headteacher, social-media), and perhaps receiving a mathematically themed prize.

Each card is presented here as a 1/3 A4 sized 'brochure', three on an A4 sheet to print double-sided and cut-to-size, with the reverse providing some blank space for solutions. They may be stored in departmental corridors, in a wall-mounted leaflet dispenser such as shown in the second image below, or perhaps in an outdoor brochure dispenser box for members of the public to pick up (both can be purchased from most major educational suppliers).

Downloads:

**Curios, Quotes, etc. for Display**(Click here to return to the menu)

A set of 100 mathematical quotes, curios, provocations, etc. (more added regularly), designed for use in mathematics spaces to colour our classrooms

Downloads:

*with**mathematics*, and avoid moreover the 'cheeze-fest' of the motivational poster, as Tom Sherrington memorably described it in this post. The real risk that the explicitly motivational poster that*urges*you to have a 'growth mindset' actually reinforces a 'fixed mindset' is removed with the use of posters whose fundamental purpose is to celebrate the subject you are studying.Downloads:

**Mathematical Formulae Display**(Click here to return to the menu)

A set of over 50 A4 (or A3) sized posters displaying the formulae that students will come across in the course of their mathematics and statistics studies up to GCSE. Each poster is designed to be printed on acetate and affixed to windows for a 'stained glass' effect, as illustrated in the image below.

Downloads:

- Mathematical Formulae Display — pdf
- Mathematical Formulae Display — doc
- Mathematical Formulae Display — png

**Mathematical Vocabulary Display**(Click here to return to the menu)

A set of over 80 posters displaying the key mathematical vocabulary (with definitions) that students will come across in the course of their mathematics studies up to GCSE. Each poster is designed to be printed on A4 (or A3) acetate, cut to size and affixed to windows for a 'stained glass' effect, as illustrated in the image below.

- Mathematical Vocabulary Display — pdf
- Mathematical Vocabulary Display — doc
- Mathematical Vocabulary Display — png

**Maths in the News Corridor Leaflets**(Click here to return to the menu)

Brochure style leaflets (more added regularly) outlining recent news reports with a mathematical bent. As with the 'Extra Stuff to do at Home' cards, the leaflets are intended to be housed in school corridors for students to pick up a problem as and when and if they wish. They are about promoting an interest in the wider aspects of mathematics, as well as heightening students' awareness of the relevance of mathematics in everyday life.

Each leaflet is presented here as a 1/3 A4 sized 'brochure', to be folded in thirds. They may be stored in departmental corridors, in a wall-mounted leaflet dispenser such as shown in the second image in the 'Extra Stuff to do at Home' section, or perhaps in an outdoor brochure dispenser box for members of the public to pick up (both can be purchased from most major educational suppliers).

A template is provided for schools and teachers to populate as desired.

A template is provided for schools and teachers to populate as desired.

Downloads:

- Maths in the News Corridor Leaflets, Template — doc
- Maths in the News Corridor Leaflets, Archive versions — pdf
- Maths in the News Corridor Leaflets, Archive versions — doc
- Maths in the News Corridor Leaflets, Archive versions — png

**Multiplication Tables Practice Booklets**(Click here to return to the menu)

*understanding*of what a multiple is, what a multiple means. Each booklet follows exactly the same format and is intended to be completed ideally one-to-one in discussion with another person that is proficient with their 'times tables', e.g. parent, teacher, teaching assistant, elder sibling. Each booklet is best suited, therefore, for intervention work with individual students or small groups.Working through each booklet will support children's understanding of the commutative nature of multiplication, their appreciation of the link between multiplication and division, their appreciation about how our language makes a difference to our understanding, and their burgeoning understanding of multiples relatively as rates. Each booklet — presented for an A3 double-sided print and fold to A3, or printed in 4 separate A4 pages — has QR code links to the excellent and simple online 'Maths from Scratch' resources, which puts recent research into practice with children practising groups of four multiples at a time at gradually increasing speeds. Each booklet ends with a gradated 'mission impossible' test that children can complete timed or not.

Downloads (all pdf):

- Multiples of 2
- Multiples of 3
- Multiples of 4
- Multiples of 5
- Multiples of 6
- Multiples of 7
- Multiples of 8
- Multiples of 9
- Multiples of 10
- Multiples of 11
- Multiples of 12

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