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.
Blog Ini Bertujuan Membantu mendidik masyarakat di bidang matematik (Helping community in studying mathematic)
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Senin, 04 November 2013
Sabtu, 27 Oktober 2012
'Hooking' them in...
Following my NQT session on 'Structuring Lessons Effectively' and the introduction of 'Meerkat Time' (see previous post) I have attempted to 'hook' my students into their lessons this week!
Here's some of the ways I have done this this week...
Year 7 (angles lesson)
picture on board:

Year 8s and Year 10:
I gave them one of the www.mathsbox.org.uk 'settlers' target boards to work out
Year 10's:
I gave them Dave Gale's QR Code Puzzle task (see http://reflectivemathsteacher.posterous.com/qr-code-puzzle-worksheet)
I found that by doing this I immediately had the attention of my classes as they entered the room and got sat down in their usual place. There was a quicker start to my lessons and I was able to still do all the admin like taking the register, checking h/ws etc whilst they were off and running on the tasks they were given or videos/pics they were to write down questions about. I will definitely continue to ensure that I utilise 'Meerkat Time'!
Here's some of the ways I have done this this week...
Year 7 (angles lesson)
picture on board:
Year 11 (enlargements lesson)
this video by Dan Meyer http://www.101qs.com/69-super-bear
Year 10 (factorising and solving quadratics)
I paused my IWB on the 'Wreck's Factor' game on Manga High http://www.mangahigh.com/en_gb/games/wrecksfactor (the class had previously played this game for h/w after we went through factorising quadratic expressions)
Year 10 (completing the square lesson)
This caused a great amount of hilarity (mainly with the Mathematics department, my Year 10s didn't think I was being serious! Nonetheless, it worked!)
Year 8s and Year 10:
I gave them one of the www.mathsbox.org.uk 'settlers' target boards to work out
Year 10's:
I gave them Dave Gale's QR Code Puzzle task (see http://reflectivemathsteacher.posterous.com/qr-code-puzzle-worksheet)
I found that by doing this I immediately had the attention of my classes as they entered the room and got sat down in their usual place. There was a quicker start to my lessons and I was able to still do all the admin like taking the register, checking h/ws etc whilst they were off and running on the tasks they were given or videos/pics they were to write down questions about. I will definitely continue to ensure that I utilise 'Meerkat Time'!
Meerkat Time
Meerkat Time; the time at which students are coming into a room, getting used to their new surroundings and are available to 'hook' into your lesson!On Monday this week I had one of my school's NQT training sessions. This session was about structuring lessons effectively. At the very start of the session we were told about 'Meerkat Time' and asked whether or not we use it in class and how.
Meerkat Time, as stated above, is that short amount of time at the very start of the lesson where the students are coming into your classroom and you have a short amount of time to 'hook' them into the lesson and engage them. We were told that too often this time is lost due to taking the register, handing out books, students getting settled etc and the chance to provide them with something to excite them about the lesson is lost.
Ways in which we were told we could 'hook' the class in were:
by providing a quick 'settler' activity on students' desks or on the board
showing a short video clip
having a picture up on the screen that links to that lesson's content
having a prop ready etc
I make an effort to do this in all of my lessons but know that this isn't always achieved. Sometimes the 'meerkat time' is lost due to getting students in and settled and I'm then standing at the front of the class about to get their attention and have found that they are just sat there waiting for me to tell them what we're doing, provide them with some sort of stimulus and essentially get them excited about what they're about to do for the hour. It wasn't until I was reminded of this crucial part of the lesson that I really started to reflect on the impact not having this time makes for the rest of the lesson. So, for the rest of the week I have attempted to put pictures on the board, starter activities to be getting on with whilst others come in, activities handed out to students as I meet and greet them at the door etc.
You can see some examples of my 'Meerkat Time' in future posts...
Sabtu, 20 Oktober 2012
NQT Training - Working effectively with your TA
In addition to the school-based NQT training sessions that are put on by my school throughout my NQT year there are a number of external sessions that are run by the area's NQT training programme. Some of these sessions are free to all NQTs in our area, others cost to attend.
This week I attended one of the free sessions titled 'working effectively with your TA'. When we were sent round a list of all the sessions available to us, and put on by the area, this was the 1st one that I felt was really relevant to my teaching this year. I have 4 bottom set classes out of the 7 that I teach and in each of these classes' lessons I have a TA with me, sometimes I have 2. So, I thought that it was essential to go on this session in order to improve on my current practise.
The session was really good and gave me loads of ideas/ways in which I can support my TAs support our lessons more effectively.
I was joined at the session by one of my school's other NQTs (D&T) and by about another 10 NQTs from across the area's Primary Schools. This itself was fantastic because up to this week I had almost missed the weekly training sessions I was having on my GTP this time last year. Meeting other teachers in the same boat as you and being able to empathise with each other's stories and experiences is a key part of developing in my opinion.
The session itself was lead by 2 experienced teachers who had had experience of not only working with TAs, but being TAs themselves.
We started by being asked to write down on post-it notes all the things our TAs were currently doing in our classes. Here's the finished combination of everyone's ideas...
This activity clearly gave us all an idea of just how much our TAs already do for us in our classes.
Next up we discussed the roles of our TAs and the ways in which we must support our TAs in our planning and delivery of the lessons. Something that really hit home was the requirement to ensure our TAs knew at each stage of the lesson:
1)what the students were expected to do
2)what resources the students needed to access the tasks
3)the answers and questions students should be asked when completing the tasks and to check their answers
4)what extension work there was for students that had finished
In order to put this into context we were then asked to complete an activity for a particular lesson (our group chose fractions). We had a large piece of paper split into 4 sections. 1 was what students should be thinking about at the start of the task, 1 was what to do if a student became stuck, 1 was what to do whilst the students were working and the last were plenary activities/questions to pose to the students. All the while we were completing the sheet we had to think about our TAs and what they would need in order to support students through each stage of the lesson.
Here's our finished sheet...
We were then given a sheet of other examples compiled from previous sessions.
We then discussed the challenges faced when working effectively with our TAs and the main thing that came from this was if our TA wasn't a specialist in our subject and how this would then alter our planning. Luckily, all the TAs I work with are more than savvy with Mathematics!
Still, we then had another tasks where we were given a piece of work photocopied from a student's exercise book and we had to highlight areas of the work to be developed and worked on in class. Taking into consideration how our TA would support that student if working with them in their next lesson. This was a really interesting task as it put into context the lesson, marking, planning, lesson cycle. At this point I was slightly shocked at the level of marking the primary school teachers seemed to be doing...i.e. marking each of the students books each day of the week! I think I am pretty good when it comes to keeping on top of my students books and marking and know that I do a lot more than others, but this was far more than what I can reasonably do in a week! Perhaps this is due to having 7 classes rather than just the 1? Perhaps not?
Anyway, here's our completed task...we had a year 7/8's division work...
A major thing I noticed here was that some of the work in the student's book had been wrongly marked correct. So the first thing I would have got my TA to do would be to go through the student in questions 12 x table as these mistakes were made and yet the student would have believed they got them right as they were marked so in their book. Then, when looking at their division work it seemed they were ok when dividing by Integers but when it came to dividing my decimals (the second LO) they struggled. I would at this stage get my TA to check their understanding of division and to see if they could show them a different example to show what they had learnt in the lesson. The TA could then show them a different method of division etc. Of course, these things I would probably be going through with the class anyway at some point but in terms of what my TA could be doing if this was the student they worked with in my lesson then this guidance would give them an idea of how to ensure the student they are working with makes progress in the lesson. We were told that there was a deficit in terms of the students who receive 1:1 TA support and the progress they make in class compared to the progress expected.
Finally we looked at some data and highlighted students that we would target for TA support in our lessons. This was useful too as it allowed us to look at not just student's levels, but previous progress, targets and take into account any SEN etc. Obviously we know our learners a lot better than what a set of data can show us on paper, but it was useful nonetheless to see how just be seeing a few stats it becomes clear which students can be targeted for support.
The whole morning (the session was only a 9:30-12:30 job) was really beneficial and it reminded me of the sessions I had last year on my GTP. Even better was that it was during a time where I didn't miss any of my lessons and was back in school in time for my tutor group (and my P4 and 5 lessons thereafter).
Due to the success of this session I now feel better prepared when thinking about the planning of my lessons where I have TA support and what I need to ensure they know prior to the lesson, whether that be via a brief meeting before the lesson, after the previous lesson or via e-mail. I will now be feeding back what I have taken away from the course to my TAs and to the SEN dept as a whole.
This week I attended one of the free sessions titled 'working effectively with your TA'. When we were sent round a list of all the sessions available to us, and put on by the area, this was the 1st one that I felt was really relevant to my teaching this year. I have 4 bottom set classes out of the 7 that I teach and in each of these classes' lessons I have a TA with me, sometimes I have 2. So, I thought that it was essential to go on this session in order to improve on my current practise.
The session was really good and gave me loads of ideas/ways in which I can support my TAs support our lessons more effectively.
I was joined at the session by one of my school's other NQTs (D&T) and by about another 10 NQTs from across the area's Primary Schools. This itself was fantastic because up to this week I had almost missed the weekly training sessions I was having on my GTP this time last year. Meeting other teachers in the same boat as you and being able to empathise with each other's stories and experiences is a key part of developing in my opinion.
The session itself was lead by 2 experienced teachers who had had experience of not only working with TAs, but being TAs themselves.
We started by being asked to write down on post-it notes all the things our TAs were currently doing in our classes. Here's the finished combination of everyone's ideas...
This activity clearly gave us all an idea of just how much our TAs already do for us in our classes.
Next up we discussed the roles of our TAs and the ways in which we must support our TAs in our planning and delivery of the lessons. Something that really hit home was the requirement to ensure our TAs knew at each stage of the lesson:
1)what the students were expected to do
2)what resources the students needed to access the tasks
3)the answers and questions students should be asked when completing the tasks and to check their answers
4)what extension work there was for students that had finished
In order to put this into context we were then asked to complete an activity for a particular lesson (our group chose fractions). We had a large piece of paper split into 4 sections. 1 was what students should be thinking about at the start of the task, 1 was what to do if a student became stuck, 1 was what to do whilst the students were working and the last were plenary activities/questions to pose to the students. All the while we were completing the sheet we had to think about our TAs and what they would need in order to support students through each stage of the lesson.
Here's our finished sheet...
We were then given a sheet of other examples compiled from previous sessions.
We then discussed the challenges faced when working effectively with our TAs and the main thing that came from this was if our TA wasn't a specialist in our subject and how this would then alter our planning. Luckily, all the TAs I work with are more than savvy with Mathematics!
Still, we then had another tasks where we were given a piece of work photocopied from a student's exercise book and we had to highlight areas of the work to be developed and worked on in class. Taking into consideration how our TA would support that student if working with them in their next lesson. This was a really interesting task as it put into context the lesson, marking, planning, lesson cycle. At this point I was slightly shocked at the level of marking the primary school teachers seemed to be doing...i.e. marking each of the students books each day of the week! I think I am pretty good when it comes to keeping on top of my students books and marking and know that I do a lot more than others, but this was far more than what I can reasonably do in a week! Perhaps this is due to having 7 classes rather than just the 1? Perhaps not?
Anyway, here's our completed task...we had a year 7/8's division work...
A major thing I noticed here was that some of the work in the student's book had been wrongly marked correct. So the first thing I would have got my TA to do would be to go through the student in questions 12 x table as these mistakes were made and yet the student would have believed they got them right as they were marked so in their book. Then, when looking at their division work it seemed they were ok when dividing by Integers but when it came to dividing my decimals (the second LO) they struggled. I would at this stage get my TA to check their understanding of division and to see if they could show them a different example to show what they had learnt in the lesson. The TA could then show them a different method of division etc. Of course, these things I would probably be going through with the class anyway at some point but in terms of what my TA could be doing if this was the student they worked with in my lesson then this guidance would give them an idea of how to ensure the student they are working with makes progress in the lesson. We were told that there was a deficit in terms of the students who receive 1:1 TA support and the progress they make in class compared to the progress expected.
Finally we looked at some data and highlighted students that we would target for TA support in our lessons. This was useful too as it allowed us to look at not just student's levels, but previous progress, targets and take into account any SEN etc. Obviously we know our learners a lot better than what a set of data can show us on paper, but it was useful nonetheless to see how just be seeing a few stats it becomes clear which students can be targeted for support.
The whole morning (the session was only a 9:30-12:30 job) was really beneficial and it reminded me of the sessions I had last year on my GTP. Even better was that it was during a time where I didn't miss any of my lessons and was back in school in time for my tutor group (and my P4 and 5 lessons thereafter).
Due to the success of this session I now feel better prepared when thinking about the planning of my lessons where I have TA support and what I need to ensure they know prior to the lesson, whether that be via a brief meeting before the lesson, after the previous lesson or via e-mail. I will now be feeding back what I have taken away from the course to my TAs and to the SEN dept as a whole.
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