MATHEMATICS

Selasa, 03 Desember 2013

PISA Day

The Programme for International Student Assessment (PISA) is a worldwide study by the Organisation for Economic Co-operation and Development (OECD) in member and non-member nations of 15-year-old school pupils' scholastic performance on mathematics, science, and reading.

Today the 3rd of December 2013 the Organisation for Economic Co-operation and Development (OECD) will release the latest results from the Programme for International Student Assessment (PISA). PISA Day is the start to an ongoing initiative that will look beyond the international rankings to learn how to improve assessments and education in the United States.
 
You can check http://www.pisaday.org/ and begin to find out the rankings.

ICMET 2013


The International Conference on Mathematics Education & Mathematics in Engineering & Technology (ICMET’13) has been scheduled from 17 – 20 December 2013 organized by the Mohandas College of Engineering & Technology (MCET) under the auspices of the Department of Mathematics, jointly sponsored by Kerala State Council for Science, Technology and Environment  and technically supported by the Kerala Mathematical Association (KMA), Indian Society of Industrial and Applied Mathematics (ISIAM), and the Indian Society for Technical Education (ISTE, Kerala Chapter). 

Contact:
Dr.V.Madhukar Mallayya (General Convener)
Dept of Mathematics
Mohandas College of Engineering and Technology.
Anad P.O.Nedumangad
Trivandrum- 695544 Kerela, India.
Email:  mcet_icmet@yahoo.com  and crimstvm@yahoo.com
http://www.mcetonline.com/icmet/

Senin, 02 Desember 2013

National Seminar on Science and Technology in Ancient India

The Government College, Bahadurgarh in association with Indian foundation for Vedic Science organizes a three day National Seminar on Science and Technology in Ancient India.

31st December 2013 to be the deadline for abstract submission.

For more info please mail gtekriwal@vedicmathsindia.org

Minggu, 01 Desember 2013

Origami Slinky


Communicating with your TAs (#TMEpsom)

Last Monday (25/11/13) I attended the 2nd #TeachMeet held @glynschoolepsom (my previous school). After hosting #TMSurrey last year, I was able to relax this year and enjoy #TMEpsom that was hosted by Guy Jones @questionbeggar.

As part of the event, I decided to present on how we go about communicating with our TAs/HLTAs. I only presented for about 2 minutes and so I hope by writing in more detail about this here that some unanswered questions will be answered.

My presentation at #TMEpsom was really simple and revolved around the purple folders we use for each of our classes where we have TA/HLTA support.

I have one of these folders for each of 4 of my classes where I receive regular support for the students in my class.

The folders are managed by my TAs and they update the folders if/when we run out of daily sheets, when IEPs are updated and class details change. As a teacher, all we have to update in the folders are our seating plans and our schemes of work for that module/topic etc.


Each of my purple folders contain the following information:

Class List with all SEN details highlighted
Students Photos
Seating Plans
Schemes of Work
Current Levels/Grades for students on the Code of Practice
A Daily Tracker for teachers/TAs to fill in
IEPs
Reading Levels and other relevant data on the students

Before each lesson I have with the class, and when TA/HLTA support is given, I fill in the teacher part of the daily tracker sheets. The daily tracker sheet is a simple table with 3 columns, 1 for the date, 1 for the teachers' instructions for the TA and 1 for the TA's feedback. All I write in the table is the date/period of that lesson and then how I wish my TA/HLTA to support me with the class in that particular lesson. This consists of a few sentences explaining what we're doing that lesson, with whom I wish them to work (or withdraw from the lesson to work with in a small group) plus other details as necessary.

At the start of each lesson the idea is that my TAs pick up the folder for that class from my desk and look at what I have written on the daily sheets for that lesson. Then, at the end of the lesson, they fill their part of the daily tracker sheet in by commenting on how the students they worked with progressed that lesson and comment on any other things they picked up on in the lesson. This could be that certain students did/didn't complete certain activities, whether they noticed students struggle on a particular concept or had a common misconception etc.

The great thing about the purple folders is that it allows me to communicate with my TAs without having to find those 5-10 minutes in between lessons or after lessons to catch up on what you'll be doing or how things went; too often in the past I have tried to have these conversations at the start/end of lessons and rarely had the time to really let my TAs know what it is I'd like them to do or how the students they were working with got on.

By using the purple folders I now see, prior to each lesson, the comments from previous lessons and the progress of those students my TAs/HLTAs were working closely with. This then feeds into my planning for subsequent lessons and it may be that I ask my TA to work with other students they noticed didn't do so well in previous lessons, or take certain students out to catch them up on work they may have missed out on or need further support with. It also means my TAs can see what it is I want them to support me with before the lesson rather than having a couple of minutes notice of what they're expected to do. And, when there is a class where I am supported by 2 or 3 different TAs/HLTAs, they can be informed of how those students they are to work with have progressed in previous lessons.
Another thing I like about the folders is that I have all the class' IEPs and details of their particular SENs to hand. Usually these details are kept on the school's shared drives and finding such information can take a while. This way, the details are there when planning each lesson and they can easily be referred to when planning new activities and ensuring I am using particular overlays on ppts, grouping certain students together, changing seating plans and making sure those students that need to be sat in particular places can be etc etc.

The purple folders are something my school have been trialling since the end of last year, I believe, and so they are something I have been introduced to this year. As such, getting used to these have taken some time and remembering to fill them in as soon as possible for my TAs to access has taken time to get in the routine of doing. We have found some problems with them based around the fact that my TAs still don't always get enough notice prior to lessons as to what they need to be doing with the class, especially if they are asked to take a small group out. The prior warning needed for doing these 'withdrawls' means the TAs need time to prepare resources perhaps, or just find a room/space they can go with the students they are being asked to take out and work with. So, in addition to the folders, if I know I'd like my TAs to take certain students out I try to e-mail them the day before the lesson (at least) so they have time to prepare.

The folders are working to improve the communication between my TAs and I and they provide great evidence of the support and provision we are giving to certain students and my classes in general. If anyone whats any further information about our purple folders then get in touch by commenting below or contact me on Twitter @mrprcollins

Advent Calendar Resource

Earlier this year, in February, I found the following resource (by dannytheref [@dannytheref])...

http://goo.gl/X3oP5u

The only problem with this was that I was 2 months too late! However, having remembered the resource, I relocated it earlier this week with the intention of using it this month in the lead up to Christmas for some festive starter activities to kick off my Mathematics lessons.

If you haven't seen/used the resource before you can download it from the TES by clicking on the link above. Here's what the resource includes...

The home slide is complete with a festive jingle. You then click on the doors to reveal the starter task/activity to do.

I recommend reading the instructions and answers document that accompanies the resource to fully understand all of the different activities on offer. These could be done on a daily basis with your classes or just randomly depending on when/how much you want to use this in your lessons!

My favourites are:

The product game - the resource takes you to a website to play this
Heads or Tails - classic!
'One of these things is not like the other thing' - sung by the Cookie Monster...what's not to love!
Pointless - brilliant game
The boys vs girls head to head - the accompanying music is brilliant

I know I'll be using this in my lessons this month. If you do too let me know how the resource goes down and don't forget to leave a comment for dannytheref on his resource too!




Kamis, 28 November 2013

Happy Thanksgiving!

I hope this will be a wonderful, blessed Thanksgiving Day for you. May we all be truly grateful for the innumerable blessings God has given to us!



- Gaurav Tekriwal
   www.vedicmathsindia.org

Kamis, 21 November 2013

November 21, 2013








Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Rabu, 20 November 2013

November 20, 2013








Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Selasa, 19 November 2013

November 19, 2013








Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Senin, 18 November 2013

November 18, 2013







Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Jumat, 15 November 2013

November 15, 2013






Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Kamis, 14 November 2013

November 14, 2013





Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Rabu, 13 November 2013

November 13, 2013






Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Selasa, 12 November 2013

ATCM and TIME Schedule 2013

November 12, 2013





Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.












Senin, 11 November 2013

PARCC re ducks

Many textbooks and other materials are lightly edited and rebranded by their creators as Common Core aligned, but being there is no central ministry of education, as in Singapore, which reviews materials and issues an official government seal of approval, anyone can make such claims with impunity.  Some education departments are making their own determinations, such as NYC, which chose “Houghton Mifflin Harcourt's ‘Go Math’ program for elementary students, and Pearson's ‘Connected Math Program 3’ for the middle grades”, or Louisiana, which last year rejected “every math and reading textbook submitted by publishers”.

The precise wording of the 93-page Common Core State Standards for Mathematics notwithstanding, a lack of consistency in interim assessments, independently developed and posed to students in states such as Kentucky, New York, Illinois and North Carolina, raises the issue of whether these test questions accurately reflect the Standards and manifest Common Core’s intent, but no matter: states, too, are barreling ahead with no independent oversight.

Carol Burris, a principal at a high school on New York’s Long Island, whose essays are often published in the Washington Post blog The Answer Sheet, recently critiqued a math test for first graders and critiqued several sample math questions.  Lest we ourselves become completely overwhelmed by myriad Common Core offerings that run the gamut, we declined to pass specific comment on those independently written questions, and instead continue to focus on states’ sample and/or actual assessments and, to date, sample-only questions designed by the two  “official” consortia, SBAC and PARCC.

This preamble brings us to PARCC’s latest batch of sample items, twelve in total, released in early November, for Grades 3-6 (nothing new for Grades 7 or 8) and high school.  Fasten your seat belt…

Read more »

November 11, 2013







Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Jumat, 08 November 2013

Now Mathematics Village will become Part of Barcelona ( Spain)

 
 
 
 
 
 
 



November 8, 2013








Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Kamis, 07 November 2013

Computer-based assessments

Our ongoing review of Common Core sample tasks from the SBAC and PARCC consortia and the State of Illinois, as well as questions that New York this year actually posed to students in the interim period before consortia assessments take over, has exposed issues with standards alignment, poor wording, incorrect mathematics, and odd interfaces, but no issue stands out more than this: none of the SBAC or PARCC extended tasks as of yet take advantage of technology’s capabilities in such a way to justify the transition to computer-based assessments.

Jason Becker, on his blog, posed it this way:
[The SBAC tasks] represent the worst of computerized assessment. Rather than demonstrating more authentic and complex tasks, they present convoluted scenarios and even more convoluted input methods. Rather than present multimedia in a way that is authentic to the tasks, we see heavy language describing how to input what amounts to multiple choice or fill-in the blank answers. What I see here is not worth the investment in time and equipment that states are being asked to make, and it is hardly a ‘next generation’ set of items that will allow us to attain more accurate measures of achievement.
Read more »

November 7, 2013








Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Rabu, 06 November 2013

November 6, 2013





Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Selasa, 05 November 2013

November 5, 2013







Solution at the bottom of this page.
Like this problem? Try our Contest Problem Book series!







Curriculum Inspirations is a collection of resources for Middle and High School Math Teachers that demonstrate practical ways to engage students in the lively exploration of mathematics and mathematical thinking using problems from America’s longest-running and most successful mathematics competition. Developed by James Tanton, these resources include Ten Problem Solving Strategy Essays and Curriculum Bursts.










Senin, 04 November 2013

Google Has Logo For Shakuntala Devi, The Human Computer

At first the logo looks somewhat like a ticking time bomb, but in reality, it is to show off Shakuntala Devi awesome human computing powers. 

This logo specifically depicts her 1982 Guinness Book of Records where she demonstrated the multiplication of two 13-digit numbers 7,686,369,774,870 × 2,465,099,745,779 picked at random by the Computer Department of Imperial College, London. She correctly answered 18,947,668,177,995,426,462,773,730 in 28 seconds.

Devi was born on November 4, 1929 in Bangalore, India and passed on April 21, 2013 at the age of 83. For more on her life see Wikipedia.


Numeracy Across the Curriculum (ITT/NQT Session)

On Monday 4th Nov 2013 I delivered a 'numeracy across the curriculum' session for my school's ITTs and NQTs. I was only given 30 minutes for this as the other half of the hour session was delivered by one of my English colleagues on 'Literacy across the curriculum'.

For the session, I used the following Prezi and included a number of ideas for getting numeracy into other subject's lessons. These ideas I will explain further here to support the ITTs and NQTs at my school, and also for anyone else who is interested in those ideas that I presented...I hope they are of use!


*Feel free to flick through the Prezi I created for the session. Throughout the presentation: I referenced the National Numeracy Organisation; briefly explained what numeracy was; gave my colleagues a question to attempt and used this to highlight the different ways students will go about solving the same problem; suggested ways in which you could/should be using numeracy in lessons; provided examples of what could be used to help (data from SIMS and a guide to the levels in Mathematics [from another colleague in my department]) and then presented 12 ideas, all of which I will explain further here (due to having to whizz through them in the session)!*

Idea #1 - Scrabble Tiles
I wrote a blog post on these previously which can be seen by going to --> http://goo.gl/rxCbrK

The Scrabble Tiles can be used in any subject by getting students to find/create key words for the lesson. The numeracy element comes in by getting students to find the sum of the numbers on their tiles. They could then even multiply this by a 'number of the day'. You could get students to estimate the highest total score for a word in your subject, would it differ in other subjects? Why? You could award extra points to students if they come up with a key word for the particular topic you are teaching; you could even award a percentage of their score, for example students could get 10% extra if the word is related to the lesson.

Idea #2 - Use the Dates

This idea is particular useful in subjects like History and English where you have historical dates to refer to or historical figures/people to mention. Get students to work out how many years it has been since certain dates, since the death of historical people. In Geography you could ask students to find the number of years since an event happened. You could get students to work out the age of people who have died by giving them their year of birth/death; you could go as far as working out how old they were in years, months, days, hours etc and could discuss conversions between time here. You could ask students how many days it is until events in the future too. For example, in RE, religious festivals such as Divali, Christmas, Eid, Easter etc. In Design and Technology (or Art) you can get students to create Gantt Charts for their projects and work out the number of days allocated to certain aspects of their projects (this idea came from @kutrahmoore).




Here's an example of a Gantt Chart. These could be used for any subject where an extended project is used - or for revision purposes in terms of creating a revision timetable!






Idea #3 - Pie Chart of the lesson

This could be used to great effect as a plenary activity. Get students to draw a pie chart to sum up the lesson. This activity could be differentiated for students by either keeping the timings simple (i.e. half the lesson I...(half the pie chart), a quarter of the lesson I...(a quarter of the pie chart), an eighth of the lesson I...(a quarter of the pie chart) etc) or getting students to use smaller time intervals, i.e. I spent 4 minutes reflecting on my progress (so a 24 degree slice would be needed to represent this). In order to do this the students will need to divide the 360 degrees in a circle up accordingly; 1 minute of the lesson would be represented by a 6 degree slice of the pie chart.

Idea #4 - Graphing Progress

Again, as a plenary activity in a lesson, or perhaps even kept at the start of every new topic in their exercise books, students can create a suitable graph/chart to 'graph' their progress throughout a topic. Here they can practise their skills of drawing suitable axis, with a consistent scale, and plotting points on their graph across a given time period. You can discuss here with students the criteria that they'll put on their 'progress' axis, whether it be a grade, level or other scale. You could also discuss the benefits of one graph/chart over another.

Idea #5 - Top Trumps

I love top trumps cards and have used them in my lessons to help engage lower ability students in their learning. I have a particular set of 'animal substitution top trumps' cards that I use regularly when teaching the topic. How these can be used in other subjects is by using key people/events and getting students to create their own top trumps cards and assign people/events certain values based on some categories you/they decide upon. For example, in English, you could take all characters from a particular novel (lets say Of Mice and Men) and then get students to rate them on their: likability, nobility, strength etc. Students then assign each character a value for these categories based on what they have learnt about them by reading the novel and then they'd play the game of top trumps in the traditional manner. To make this even more numeracy related you could get students to create sums/calculations instead of just having a single number. This way students would have to first do the sum before deciding whose card was the winner. In Science, this can be done with the Elements, perhaps taking proton number, mass number, number of electrons etc as the categories.

Here's an example of the 'Animal Substitution Top Trumps' I use...

With these top trump cards you give students values for a, b and c to substitute into the expressions on the cards. I change the values throughout the activity (to negatives, decimals, fractions etc) and then award 'rewards'/'house points' for those students holding my favourite cards (the chicken, pig and hedgehog - just in case you were wondering).

You can download this resource on the TES by clicking on --> http://goo.gl/HTzasQ









Idea #6 - Line Ups (range, median etc)

This can be used in a number of subjects where your students have to measure anything. For example, if they need to measure their heights for a given activity, or perhaps their heart rates in PE. Get them to line up in ascending order and then ask the class to work out the range, median and mode of their heights, heart rates, hand spans, weights etc. In History, you could take this idea further to make a timeline out of students for a certain event, say World War I or II, hand out to them key events, or get them to create these themselves, and then get them to line up in ascending order. Then you could calculate time frames between certain events. I can see this working well in PE too for the speeds at which they complete certain events/tasks.

Idea #7 - Venn Diagrams

Venn Diagrams can be used to compare any 2 (or more) things. In English, they can be used to compare characters in a book. In Science, they can be used to compare elements, In PE, they can be used to compare sporting events. In History, they can be used to compare historical events. In Geography, they could be used to compare natural disasters. In Music, they can be used to compare songs/bands/artists. In Food, they can be used to compare recipes. And so on... . Venn Diagrams can be used as either a starter activity or a plenary. They can also be used for revision purposes if asked to 'compare and contrast...'.

I have a resource on the TES I use when introducing Venn Diagrams (or HCF and LCM) that acts as a starter activity to get students to compare...Batman and Superman or...Shrek and Donkey. Download and adapt them here... http://goo.gl/Qh7NuQ

Idea #8 - Calculator Stories
This idea stems from a resource I found on the TES, you can download that resource here --> http://goo.gl/1AJ80j

Here it is too...

As you can see by the image to the left, this involves using a calculator to perform certain calculations to which the answers can be read by turning the calculator upside down in the 'old school' fashion where kids would type 5318008 to spell out 'boobies'!

You can therefore take any piece of text, omit any words you can spell by typing in numbers on a calculator and then turning it upside down, and then create a sum for students to answer to reveal the word in the text. You could get students to create their own or prepare them for them as a short starter activity. This would get them reading some key information for your lesson whilst practising their calculator skills. Check whether your students have their calculators on them at all times or whether you'll need to borrow some; they should all have them with them in our school (as long as they have Mathematics on the same day as your lesson)!?

Idea #9 - Cash Reward/Behaviour Tax
an idea I recently read in @TeacherToolkit's #100ideas book...

The idea is that, perhaps as part of a behaviour management strategy, at the start of a lesson you give all students a certain amount of 'money'. I have some fake £10 notes printed out that I use with ratio activities, or you could use money from board games, print your own etc. Then, throughout the lesson, perhaps when giving out reward points or warnings (in line with your school's behaviour policy), you then issue a reward cash value or 'tax' to the students. This tax could be 10%/25% of the money they have at that time in the lesson, or could just be a determined amount, say £20; a discussion here about which would be the greater amount would be lovely! The students at the end of the lesson with the most money could then 'trade' them in for a small prize or even receive an additional reward point.
I have used raffle tickets in the past in this manner (give them out for good behaviour/work, take them away for poor behaviour) and then draw a ticket at the end of the lesson and that person wins a prize. Here you can discuss the probability of them winning, based on the number of raffle tickets they have!

Idea #10 - Bananas!
I have no idea why this activity is called 'bananas' but I love it nonetheless...it is an idea I found through @TickTockMaths' '59 Starters' resource available on the TES. I blogged about it very recently at --> http://goo.gl/b9h5k1

Here's the idea...and this can be used in any subject...

You basically choose a few categories, related to your subject/lesson, and then pick any letter of the alphabet and get students to think of a key word for each category that begins with the chosen letter of the alphabet. How you get in some numeracy is that one of the categories could be 'a mathematical word' or 'a word to do with numeracy'. Get students to define their chosen word and say how/when they'd use it in their Mathematics lessons.

Idea #11 - Estimate the lesson

Estimation appears naturally in every day life. We estimate the amount of time it's going to take us to complete a journey, the amount of time we need to leave for certain tasks, the amount our shopping is going to amount to when we get to the check-out etc etc. For any subject there will be a number of occasions in your lessons where you can ask students to do some estimating. It could be the amount of time an activity is going to take them, a mark/score they believe they'll get on a test/assessment, the number of years since an event, the amount of an ingredient they will need for a recipe for a given number of people, an amount of liquid to use in an experiment, the length of wood to cut to make an object from etc etc. You could even, when asking students to estimate something related to your lesson, ask them to estimate the answer to a calculation i.e. estimate the answer to 34.98 + 23.1.

Idea #12 - Squares

I love squares. This is perhaps one of my favourite activities to do and there are so many variations of this activity that I probably need to write another blog post/book to explain them all...and even then they'll be other variations found too!

The activity 'squares' is based on a 6 by 6 dotted grid (or other square sized grid of your choosing) and players take it in turn to join two dots together, thus making 1 of the 4 sides of a square. The game continues with the other player taking their turn. Each time a square is created by having all 4 of its' sides complete the person wins that square.
How I make this more 'mathsy' is by having numbers in each 'square' prior to the start of each game, then, when a student wins a square they add that amount to their total. I've also done this when introducing algebra to get students to collect like terms (this would require letters and numbers to be placed in squares at the start).
This can be adapted for any subject by making a mega game of squares on the class whiteboard, or even better, on the IWB. Instead of writing numbers in the squares you can write questions for students to answer. So everytime they win a square they answer the question in the square they have won. The game is all about strategy and problem solving and is an enormous amount of fun!

Additionally, this can be done on a coordinate grid with a set of axes for students to call out coordinates before drawing their line (or their partners' chosen line). For example 'I want to join the points (2, 3) and (3,3). This variation could be used well in Geography when discussing maps and grid references.


Here's an extreme example of a 'squares' grid, write questions/numbers etc in the squares and each time a square is won the students answers that question or adds the number to their score!














So, that's all 12 ideas I presented (briefly) in my numeracy across the curriculum session. I hope it gives you a better idea of each and ultimately, how you can build numeracy into your lessons (if you were struggling to find a way to do so). There are loads of ways you can adapt these ideas to suit your subject/students/lesson etc I hope I've given enough examples for specific subjects? If you try anything out do let me know by commenting below or tweeting me at @mrprcollins.