MATHEMATICS

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Senin, 28 Oktober 2013

Mathematical Concept Cards 2: The New Batch

Having been recently reminded about an activity I did in class last year by Mr Cavadino (see his blog post at wp.me/p34gWb-3c) I decided to try out the activity with some of my new classes in the last week of this half term.

To see my original post on the idea and discover the origins of it click on the below link:

http://mrcollinsmaths.blogspot.co.uk/2013/01/mathematical-concepts-wall-for-want-of.html

So, here's the new display, with the best of the concept cards selected to go up here...














And here's some of my favourites that have been created this year by my students...

 I think this has to be my favourite one?
 Must be a fan of Dead or Alive?

I thought this one was hilarious - especially when Miley made an appearance!
 Maybe some confusions here as to what 'expressions' are, but the effort was commendable. Most other students in this class chose 'volume' and drew speakers etc
 Being a Marvel geek I loved this one, if only there were some Loci examples around it to go with it though...
 Nice use of both words here

 I wonder why the 'hundredth' was the one that was working out?
 Inspired by the examples I showed the class from last year.
 The best pie shop in the world...3.14 (brilliant)

 Hilarious!
 This one definitely thought outside the box













I am impressed with the creativity that came out of the classes I ran the activity with. There are a few I am waiting on with my Year 10 class too, so there may be some more to follow. Watch this space.

Minggu, 27 Oktober 2013

Year 2: Back in the Habit

Well here I am, the eve of the first half term of the school year and what a half term it has been! Much like the sequel to the popular film 'Sister Act' I am now well and truly 'back in the habit' and as my absence from blogging indicates I've been a very busy Mr Collins indeed. It seems like an age since I was writing my blog post about my new classroom and the set-up for the start of the year and now, 7 and a half weeks down the line, it feels like the Summer period never happened. Here are my reflections on the past half term...

As you will know from reading previous posts I have started teaching back at the school I once worked as a cover supervisor. It was 2 years ago this school year that I left to go and do my GTP and then subsequently my NQT year at 2 different schools in the local area. I've just received my 'induction' certificate from last year and with this came the realisation of what has perhaps been missing this half term...the teacher training meetings and ongoing evidence collecting. Now, don't get me wrong, the evidence collating I am more than happy to have disappeared from my weekly tasks, but I can't help but miss the weekly/fortnightly CPD that trainee teachers receive. I'm particularly talking here about those CPD events that are held externally, whether they be part of your Universities training programme or events held at local schools that your school have partnerships with. I like these days away from the classroom where you get to reflect on your teaching, meet colleagues that are in the same position as you, learn new techniques, ideas and gather teaching resources and essentially keep learning. I've noticed that without these sessions this year it really is just about getting down to it and getting on with the job of teaching. However, there may be something new on the horizon, which I'll write about at a later date.

So, without the trainee teacher element of my job what's changed? The main thing is the timetable...and all experienced teachers will know exactly where I'm about to go with this...my teaching time has rocketed! Last year I had my NQT time,which allowed me at least 6 free periods a week in a 25 period week. This year, without the luxury of the NQT time, I have only 3 free periods a week and this has made a sizable difference in my teaching time, planning time and (of course) marking time. Couple with that the challenges of starting a new school (albeit a school I know very well) and it's no wonder I've not been able to keep up with the blogging!

Now, I know my school very well having held my previous post as a cover supervisor for 2 years. However, in the time where I have been gone learning how to teach at other schools a lot has changed. Also, as I worked as a cover supervisor before and not a teacher, all the procedures that teachers are expected to follow and I suppose all those little things that differ between schools have had to be learnt, remembered and followed through. For instance, the behaviour policy and procedures are far 'tighter' than the schools I have previously worked at, and this is all for the better in terms of the teaching and learning that takes place in the school. This means that now, unlike in the past, there are behaviour points to log, reward points to log, phone calls to log, warnings to log, postcards to write, uniform letters to send etc etc. All these little things that are different take a while to embed in your daily routines.
The easiest part of being back at the school I previously worked at is the relationships I have with the kids and my colleagues. I am lucky that the classes I have in KS4 all knew me before I walked into our new classroom. This has allowed me to pick up on relationships I had already built up and take it from there. I have some fantastic classes to teach and this has made the 'settling in' period easier than I could have hoped for.

The one thing that has taken a while to sort out this half term has been the ICT in my classroom. I have persevered over the past 7 and a half weeks with trying to get everything the way I have had it in previous years. This has mainly centred around getting my interactive (SMART) whiteboard working. Now, by no means would I say that I have become dependent on my SMART board, but as I have made so many resources using the SMART notebook software it did have an affect on my teaching in the first few weeks of term. I had to find other resources to teach from, it took me longer to plan my lessons and I didn't feel as confident as perhaps I would have done. It also frustrated me as the IWB was there, but wasn't usable. I even started referring to it as the 'potentially interactive whiteboard to the kids'. However, all good things come to those who wait, and with the help of the ICT team after week 6 we were able to get the software working with the new Windows 7 laptop I had been given to 'trial' as a new member of staff. I even purchased myself some new SMART board pens/eraser to fill the gaps that were previously homed by a glue stick, board pen, blue tack and pen. Here they are in all their glory...

 For the past week or so I have been enjoying having the use of the SMARTboard back and I feel loads more confident, I can use all my resources I spent the time creating last year and the reaction from the kids is brilliant. I don't actually think there are many other working SMARTboards in the rest of the school that teachers use. This, for me, makes my proficiency with the IWB a tool I can use to my advantage as everything seems new for my students. When I first wrote on the board they seemed shocked, when I drag objects across the screen it feels like magic and as for the trick of rubbing out a circle and then tapping in the middle to erase everything inside the circle...I've become the new Dynamo! The only thing I then needed was some sound...as there were no speakers in my room I got some of those too and now I can use YouTube videos (from my channel or otherwise), the Chris Moyles Quiz Night videos for short starter tasks - my current students have loved these the past week, and of course...and yet to be introduced to my new students...Maths DJing :)

The above goes some way to summing up the challenges and differences of starting at a 'new' school this year. In addition to this there have been a few events that I have helped out with this half term. The biggest of these were the school's Open Evening and the Y6 Problem Solving Day. The school's Open Evening was fantastic and was one of those events that I was looking forward to. The reason behind this is that I love the school I work at, I went to the school as a kid and having worked there previously and now being back, I couldn't be happier. So, I'm keen to make sure that future students, our local primaries and our community see all the good things that I have and do at the school. So, at open evening I helped the Mathematics department ensure we displayed all the good work our Year 7s had been doing in the first 3/4 weeks of term (something the department have always done). Then in a separate classroom we had two activities running, one that the department have done in past involving measuring arm span and height and seeing the 'Mathematical perfectness' of a person. The other was an idea my colleague and I came up with and was to have the good ol' horse race probability task big scale on the class floor.
We created a 12 by 6 grid out of masking tape, had my numbered tiles in the 'starting squares' for each 'horse' (Y5/6 child, parent, uncle, aunt, Y9 prefect etc), we had the Y9 prefects rolling my large foam dice and encouraged visiting parents and children to take part in the horse race. For each race we explained the rules of rolling the dice to generate the numbered horse who would then advance down the grid. The winner being the first horse to reach the 'finish' square. The activity was a great success with children and adults taking part, healthy competition building between relatives and (of course) some good mathematical reasoning, language and logic being applied. It is something that we will look to do in future evenings.

Then, another idea I have for future evenings came about after speaking to my HoD about other tasks we could have going on around the room whilst the 2 main activities were going on. I suggested doing the 'frogs problem' and then said it'd be great to have a large version of that too and if only we had some large frogs! I have of course done this in the past using the students and chairs, but wanted something tangible for the children to pick up and move/leap. Cue my HoD's knowledge of another of our colleagues whose hobby of knitting stuffed animals could come in handy. She is brilliant and 5 more of the below little beauts will be made after she has finished knitting Christmas presents for her nieces and nephews...

How cool is he! I've named him Freddo.

As for the Y6 Problem Solving Day I'll be writing about that in a separate post as there's far more I'd like to say about that and resources to link.













Finally, a list of other notable events/things that have occurred this half term...

the staff vs staff football match against a local school (we won 1-0, undeservedly so)
the strike day, school was open for Y11, I was there
3 INSET days
Y9 'enterprise day', the less said about this the better
5 of my Y11 top set being entered in Nov and getting them prepared
regular staff football on Fridays (I've missed this)
Y11 invitation only parents' evening
the Y7 Fresher's Ball (I was the DJ)

Minggu, 01 September 2013

F13 - My New Classroom

Over the past week I've been setting up my new classroom ready for the new school year. I've spent 2 and a half days getting it the way I want it and putting up all my displays etc, I figured it's worth putting in the effort now as it will save time later in the year when I'll undoubtedly have other things to worry about. As you may know from seeing my previous post 'my blank canvas' http://goo.gl/WuvqcV  my classroom (F13) was redecorated over the Summer holidays and so I had a fair amount to do...cue before and after photos...

Front of the classroom

Before


After

I've kept a lot of the front of my room the same as I had it last year in my NQT year. I have my 'Mathematical Alphabet', laminated letters of the alphabet made using www.tagxedo.com to have all mathematical words beginning with each letter of the alphabet made into the shape of that letter of the alphabet. I have a big number line above my whiteboard that I downloaded from teacher resources on line (see my 'go to' resources blog post for the link to this site and my others http://goo.gl/NczZoB). Above the IWB I have one of my new starter displays for this year - my 'number cruncher' (see http://goo.gl/3s16aR for more information). To the left of the whiteboard I have a selection of the 'Minds at Work' posters available from www.sparkyteaching.com as well as a self indulgent 'Mr Collins Maths' sign (I could, so I did) :)
Behind the class door I have one of my 3 display boards that were put up on Thursday when I wasn't at school - I was so happy on Friday when I came in and they were up, as well as the curtains). I backed this using some bright wrapping paper I got from Ikea. Below the board is a bookcase with some textbooks that were in the class last year. I'm not sure If I'll make much use of these this year, but they're there if needed, or for students to use if they get stuck whilst I'm helping others. I also have some '1, 2, 3' pots (also from Ikea). I'm going to use these in a very 'Primary School' style way...they will be filled with mini whiteboard pens and rubbers for use with the mini whiteboards, I may also put other equipment in them for each table as the lessons dictate. I will then plan to have these on the tables for groups of students to use from 'the off' each lesson. One thing I found last year is that I wasted a fair amount of time handing out resources (especially the mini whiteboards). So, to minimise this 'downtime' I will have the resources ready on the table for my students much like they do in the Primary setting. I'm expecting to have to make my expectations very clear with these as I can see them being 'fiddled' with when not needed if not instructed as to their 'proper' use. We'll see how this works (or not).
You will also see the nrich posters displayed on the beam going across the centre of the classroom. I have picked challenging puzzles that all my classes will be able to attempt, some are harder than others, but each class will be able to do at least 3 or 4 of them. See my 'go to' resources post for the link to their posters page of their website - they're great!

Back of the Classroom

Before














After

Tables and Chairs! These were one of the last things to go into the room as I was trying to leave the premises team space to get to the walls to put up the displays and the curtains. Also, I wasn't really sure how or where I was going to fit them all in. I'm still not 100% sure they will stay like this, but for now I have 4 groups of 6 and then 4 individual tables each seating 2 students. So, as my reflections on my seating arrangements from last year gave me I have gone for a mixture of 'rows' and 'groups'. To see my reflections on all my seating layouts last year see my blog post here --> http://goo.gl/Y65XL8. You can then just about see another of the display boards on the right of the picture - again, the wrapping paper to back them was from Ikea and I used my department's borders to finish it off. In between the windows at the back of the room I have a selection of displays that I (and my students) will use over the course of the 1st term. I have: my 'the number of the day is...' starter display (see http://goo.gl/3s16aR for more information), my Twitter board, my 4 fours challenge and some 'why do I need maths' posters and revision posters from http://www.mathscard.co.uk/ (free and rather good, I'm going to order their revision cards for students soon too).
Lastly, above each window there is a cover to hide the curtain rails. So, on each of these I have put a formula that students are required to know for the Mathematics GCSE examinations. I have: Pythagoras' theorem, area and circumference of circles, sum of interior angles of a polygon, SDT and DMV. I also have a website url for my YouTube channel above my desk's window and I plan on putting a Manga High/MyMaths login/password reminders up too once I've got the details.

Here's my Twitter board...for my 'tweets plenary'...

I've used one of www.magicwhiteboard.co.uk's A1 whiteboards so the post-it note tweets can be better 'stuck' to the wall as they don't stay on the walls for long for some reason? Plus, for my smaller classes they can write their tweets straight onto the whiteboard! I bordered the display with some Twitter images and a few #s.











My 4 fours challenge display...

I've done this a few times over the past few years and it has always worked really well and it keeps amazing me how many students are keen to find solutions to the target numbers 1-100, especially when there are only a few left!

The best thing about this is when I'm not teaching in my room (this will happen very rarely this year due to my full timetable now I'm no longer a trainee/NQT) and other classes/students do some of the target numbers.








Other views of my room...

The view from the back corner of the room looking towards the 'room of the room' room. The table for 2 that is right in the corner will only be used for my class of 32, otherwise it will be a 'free' desk for anybody that will visit my room this year.
This is the view from in the 'room off of the room' room. As you can see I have my dartboard (see my '180!' blog post for more information http://goo.gl/hN6h4e), a magic whiteboard ready for a round of '501' and...'Mathematical Mario', see other picture below for more on him...
This is the view from the centre front of the room. On the pillar in the middle of the class I have the 'Fail Safe' resource posters I downloaded from www.sparkyteaching.com. I'm hoping these, and other displays will help build an environment where students won't be afraid to make mistakes.
You can then see my CD player/stereo on the windowsill. I'm my school's resident DJ and have used certain types of music (not to mention my Maths DJing) in class to help students focus. So, I'll use this at points throughout the year as required...and it'll be there for me to chill out to after school when I'm planning, marking etc. I'm hoping to do more work at school this year and less at home so this will hopefully allow me to create a similar atmosphere to that I'm used to working in at home?

My class door...

I love my 'Mr Collins' on the front of the door. I used an Origami app I downloaded for free on my iPhone and made each of the letters from a piece of Marvel wrapping paper I managed to find in Primark of all places. I've also backed my 'room divider' in this - it looks pretty cool. I then put a F(sq rt)169 on the door so everyone knows what room it is (there's an F(2^2 + 3^2) on the back)!










Mathematical Mario

Inspired by a YouTube video I saw where someone made a stop motion video of Pacman and Mario using just post it notes I have created my own post-it note Mario character. I found out the hard way that the post-it notes I got (PoundWorld) didn't stick to the wall for long so I laminated them and 'blutacked' them to the wall. I plan to write key formulae and words on each post it note. It's more of a 'WOW' factor display than anything else. Much like my Space Invaders window decals I had in my classroom last year I hope it brings out a bit of my personality.

I'm also thinking of jazzing up the wall outside my classroom door by having a post-it note Tetris display using the same sort of method as I have here. I'll see if I get enough time, otherwise it may be left until I can find some time.



So there it is...my new classroom. I'm really happy with it and already feel right at home in my 'new' school. I'm looking forward to seeing the reaction of my students (and colleagues) to my room and can't wait to get started. We have 2 INSET days on Tuesday and Wednesday this week and then all the kids start on Thursday. Here's to a great year...

Kamis, 29 Agustus 2013

Starter Displays

I'm in the process of setting up my new classroom and when thinking about what displays I wanted to have up in my new room I was trying to think about what has worked best for me in the past. The displays I think work the best are those that you can either use or refer to in lessons. In the past I have used the '4 4s' problem, my '2 0 1 3' display and my 'Mathematical Concept Wall' displays in class as starter problems to pose my students; their answers then go up on the displays for all to see.

You can view my blog posts on these displays by clicking on the below links:

4 4s --> http://mrcollinsreflectivejournal.blogspot.co.uk/2012/03/4-fours-challenge.html
2 0 1 3 --> http://mrcollinsmaths.blogspot.co.uk/2013/01/2-0-1-3-challenge.html
Mathematical Concept Wall --> http://mrcollinsmaths.blogspot.co.uk/2013/01/mathematical-concepts-wall-for-want-of.html

All of the above displays will be used again this year at some point. I already have a space marked out for the '4 4s' problem and a wall in mind for the 'Mathematical Concept Cards'. However, I wanted some displays that I could use on a daily basis. Displays that would allow me to direct students and then allow them to get on with a short task that we could then discuss the results to as a class. So, with this criteria in mind I have created the following...

'Number Cruncher'

This starter activity is often found in daily newspapers and comes under many different names 'Brain Gym', 'Mental Maths' etc etc. I downloaded a resource from dwatson802 on the TES website last year which had an interactive version of this starter task (http://www.tes.co.uk/teaching-resource/KS3-KS4-Mental-Maths-practice-Numbercrunch-Starter-6120840/). The ppt has 2-3 of these puzzles that are displayed on the board with a minute timer counting down before revealing the answer. I used this and my classes liked it, however there were too few of these to use on a regular basis and I didn't really want to spend loads of time creating a mega ppt of 'numbercrunch' puzzles. A reason for this is that I regularly forget about all of the starter tasks that I have used in the past/created - there's just too many ideas I have used. So, in order to forget forgetting about this one I have made a 'number cruncher' display. The display is simply a set of laminated arrows and start/finish circles that I can write on and change as I feel fit.
I have put the display above my IWB so the class can see it easily and as soon as they enter the class be getting on with it whilst I do the register and other adminy things.

Here it is...

The start number will go to the far left then the students will follow the operations on the arrows until they get to the end shape where the answer will be written when going through the workings as a class after they have enough time. I may even start from the 'finish' shape and get students to do the inverse operations to get back to the 'start' number.





The thing I like about this starter is that I can differentiate by my classes by changing the operations on the laminated arrows, the 'size' of the starting number, the type of operations on the arrows etc.

I may even write the 'start' and 'finish' numbers and then the workings in between each arrow before asking students where the mistake(s) are and to correct it. This will be one of the ways I try to get my classes to think about the mistakes they make in Mathematics, that it is OK to do so and how they can go about correcting them.

I will change the operations on the arrows as required depending on what class I choose to do this starter with and how often. By no means will I do this starter with every class every lesson. But it is there as and when I need it!
I'm hoping my students will get into the habit of doing it so much that they'll want to do it?

The number of the day is...

Another starter display I have made is a 'the number of the day is...' display. Here it is...

I made this using the www.magicwhiteboard.co.uk products I use all the time when putting up displays. I just put one of their A1 magic whiteboards on the back wall of the classroom (visible to all students) and on it I put half of one of their green A4 magic whiteboards.

Simply, I will just write a number of my choosing on the green magic whiteboard sheet and get students to answer the 7 questions written below.
The 7 questions range in difficulty and are suitable for most, if not all, classes. Some lower KS3 classes may not be able to do the 'product of prime factors' question but all the others are doable by all. Some of the questions are quite open too and have multiple entry points which helps the 'growth-mindset' I'm trying to induce in my students. For example, if the number of the day was 24 students could answer 20 + 4 or 12 + 12 for the first question. They could answer 8 and 3 or 6 and 4 for the 3rd question and question 7 allows them to pull out any other fact about the number. It could be that it is the square root of 576!? It's up to them.

Again, this display can be used as and when I decide (or my students desire). It won't be used every lesson with every class but is there when I need it. I can already see certain days of the week/year being used as 'the number of the day'. For example, Pi (3.14....) can be used on Pi day, 13 for Friday the 13th etc. I can get other teachers to guest on the display and choose the number of the day, perhaps in the style of Sesame Street where 'Today's 'the number of the day is..' is bought to you by...Miss Moore'. Perhaps my Twitter followers would like to suggest some too...

I'm hoping that both these displays will take off from the 1st week back. It will hopefully create a bit of intrigue in my students and will get them wondering what the 'number of the day is' or what the 'number cruncher' will be (I can only hope). If nothing else it'll jog my memory of two tasks that I can pull out of the hat at the last minute if necessary!

Selasa, 27 Agustus 2013

My Blank Canvas

Today I went to start setting up my new [school] home. I start at a 'new' school in September and have my own classroom, which has recently been re-plastered, painted and carpeted. I feel very lucky in this respect as it gives me a blank canvas to work from and make my own. It also gives me a fresh start at a school I used to work at as a Cover Supervisor.

My new classroom is already well underway and I will post all the pics once I have completed setting it all up. I'm currently waiting on the display boards and curtains being put back up, which are being done tomorrow. Here's my new room as it was this morning when I got into school...

 The view from the front of the room where my desk will be going. There's almost a room aside of the room, which I'm hoping to make into a 'breakout' area for my LSAs to work with selected students. I'll also have some storage over there so I can work either in this part of the room, or at my desk.
The view from the back corner of the room. I've got a massive whiteboard (very similar to last year) and an IWB, but I'm not sure that the IWB is fully functional yet - I need to get the IT boys to have a look at this as the previous teacher didn't use it as an IWB.
You can just about see the old display boards in the corridor - these are being replaced by newer boards by the very helpful premises team!
 The view into the (what I'm calling) 'room off of the main room' room. As you can see it's quite a large space, but you can't really use it as additional space for the class desks as the students sat here won't be able to see the board and would be a bit 'hidden' from the rest of the class.
View from the class door. My teacher's desk will be going in this corner - it makes sense as the leads to the IWB and my computer will have to go via the sockets in this corner (there aren't any elsewhere). My desk will go up against the wall rather than cornering off the corner. I feel this way I'm more able to support students that want to come up to the desk for help, it creates more space in the room and allows me to see the whole class clearly.  There will be a fair amount of space at the front of the room for students to come up to the board - something I want to encourage this year by getting students to write their solutions to problems or mistakes to problems that we can discuss as a class. I'll be working on 'number sense' with my KS3 classes this year a lot more than I have before based on the 'How to Learn Math' course I am currently studying - more on this to come.

This is the view from the door to the back of the room. As you can see there are plenty of windows that make the room quite light. The room looks out to the front of the school. When the curtains go back up it will naturally stop a fair amount of the light, but by no means will it be dark in the room.
In the top left of the picture you can see I have a beam that goes across the middle of the room. The ceiling is quite low and so I won't be putting up a 'washing line' display. Instead I plan to put the Nrich puzzles on the back of the beam that faces the students. On the side that I'll be facing I'll put the class clock etc for my own benefit.

I love how 'new' the room looks. It allows me to make the space my own and will hopefully give students a bit of a shock when they come back next Thursday (especially if they were taught in the room before as it was bright yellow and looked a bit 'bruised and battered').

Things I have learnt today:

It is surprising how exciting it is to get your set of keys for your room, dept, stationary cupboard etc
No matter how much preparation you put into getting everything ready to put up on display you still forget things. I had a list of things I still needed to print out and laminate before going back in tomorrow.
Wrapping paper makes excellent backing for display boards.
Moving tables, chairs and filing cabinets about is hard work!
It's surprising how much you deliberate the smallest of details.

I'll be posting the pics of the completed room over the next couple of days. I have a few new ideas in addition to using some of my existing displays that I used over the last few years. Watch this space...

Minggu, 11 Agustus 2013

180!

Back in June I came across the following resource on the TES...

http://www.tes.co.uk/teaching-resource/Darts-Project-number-and-geometry-project-6323154/

The resource is a Darts project that gets students to practise their use of compasses to construct their own dartboard. This, however, is only the 1st part of the resource. The second part includes a set of 8 'challenge cards' that get students to answer questions based on the possible scores you can throw in darts. The challenge cards are differentiated and levelled starting at asking what scores you would get if you threw, say, a single 8, double 7 and treble 6 up to the highest level challenge cards which ask students to work out how many ways they can achieve a certain score with 1, 2 or 3 darts. The higher challenges require a lot of thinking and workings, which makes these challenges great for seeing how students approach a task, whether they are able to work systematically and present their findings.

As part of the resource the uploader (chk242) has included a lesson plan, the powerpoint with the challenge cards on it, assessment sheets and a link to his blog post, which you can also view below...

http://mathematicalmagpie.blogspot.co.uk/2013/02/bullseye-mathematics-of-dartboard.html

Naturally, as soon as I saw the resource I had to go and get myself a dart board and get started with the 'project' straight away. I used the end of term lessons to trial out the project.

Here's the dart board I got...

I was originally looking for a magnetic one as suggested in the blog post above, but when I saw the selection on offer at Toys 'R' Us in Croydon and saw this one I decided to go with this - it has that 'ping' noise when the darts hit the board, and I like that!

It only cost £12.99











The board is a magnet to the kids as soon as they see it. They want to know what it's for, whether they're going to play darts, if it's mine etc etc. It acts as a good visual aid for students when creating their dartboards using their compasses. The only downside to the one I have is that there is no bull/bull's eye, just the one 'bull'.

I found that it took most students a lesson and a half to complete their dartboards, after having introduced the project, used the mymaths lesson as the 'starter' activity and then set the class off on drawing their circles etc. It shows how weak some students can be with using a pair of compasses (and also that half the compasses I had to work with were far too loose to be used effectively). We were able to discuss how big each of the sectors had to be using angle facts we had learnt previously which was a nice 'stopping point' in the lesson when a few students had got to the point where they were ready to draw the sectors.
The challenge cards then took anything from a lesson and a half to 3 lessons depending on how much time you have to give to the project, and how long your students stay with it. Some of my students were really interested in finding all possible ways of making certain numbers using the darts and would happily have worked through each of the challenge cards if given the chance.

In addition to the challenge cards, and creating the dart boards I used my dartboard to have a class challenge to see who could get the highest '3 dart score', much like in the blog post above. This introduced a nice 'sideline' to the main tasks and my classes got quite competitive with this. I also used the board in a few of my 'last lessons' of the year to play other dart based games such as 501, 301 (when time permitted a shorter game) and 'Killer'.

I also found, that whilst the board was at the back of my room, I could use it to settle conflicts in the classroom or to use it as a reward for those that finished tasks. It's great for choosing a set number of questions students have to answer too, although this can go both ways depending on how good you are at darts/who you allow to through the 'dart of decisiveness'!

A lot of fun can be had with the 'project' and the dart board in general. I plan to have the board put up in my new classroom ready for next year (with the darts hidden out of sight until I need them).

The board was also used in my school's Open Evening. I had one of my top set year 9 students help me out with the board and we had a 'who could get the highest 3 dart score' competition on the night with (potential) students, their parents and their brothers/sisters all trying to get the highest score. The mental maths involved in adding their 3 darts was quite challenging for some of the younger students (and some of the parents too) and it created a great 'buzz' about the room we were in.

Thanks once again to chk242 for uploading this resource.

Senin, 29 Juli 2013

Probability Lesson & NQT Final Assessment

For my official, and final, NQT observation/assessment I was told that I would be observed on May 10th and that my NQT assessor could come into any of my 4 lessons I had on that day. This meant that I spent a fair amount of time the weekend before ensuring that my lessons were planned and I had all my resources ready to go regardless of what lesson my assessor would be popping in.

A quick tip for any NQT/PGCE/ITT starting in September...for any official observation make sure you give your assessor/observing everything they could possibly need for that lesson. This includes lesson plan, seating plan, class list, assessment results or scans of your mark book and copies of all the resources you'd be using that lessons. This way the see that you've clearly prepared for the lesson, have thought about what they need to see and they then should be able to see previous class results and link these to your lesson objectives and context for the lesson being observed. Also, have the class' books handy to show progression over time and marking - this all goes down well too!

On the day, I e-mailed my assessor just to say I looked forward to seeing them at some point that day (a gentle reminder). I then received a reply saying that the plan was for them to come and see me P2 (year 7). P2 came and went and I still hadn't seen my assessor. P3 was when they actually turned up and this lesson was with Year 8. A lesson on probability following their recent assessments. I don't know at this point if the statement of what lesson they'd be coming in was a 'test' of some sort, or whether it was just a matter of circumstance...I'm inclined to believe the latter.

Anyway, the lesson that was observed...I received an 'outstanding' grading for the lesson and so I thought it was worth sharing, and for my own personal teaching reflecting on and remembering for the future.

I knew the lesson I would be doing with this class (set 5 year 8) would be on probability following their recent assessment where the probability questions were not done particularly well - so I wanted to address this area of weakness. Now, even in my short time as a Mathematics teacher, I have used many different ideas/activities when teaching the topic of probability and its one of those topics that Mathematics teachers enjoy teaching in all manner of different ways. In the past I've done the Monty Hall problem, the horse race, watched Derren Brown's television shows, done a 'Maths Vegas' themed lesson and even observed other teachers using 'gambling' as a resource by 'betting' (fake 'money') on 'wacky races'. I decided to keep things a bit simpler this time round as I wanted my students to be comfortable with the vocabulary used in Probability and mainly, how to write a probability.

Here's my 5 Min Mathematics Lesson Plan for the observation (yes, this was perfectly acceptable for my final NQT lesson observation)...

This lesson plan was adapted by @ilovemathsgames from @TeacherToolkit's original 5 Min Lesson Plan. Both can be found on their respective Twitter pages/tweets and on the TES.

http://www.tes.co.uk/teaching-resource/The-5-Minute-Lesson-Plan-by-TeacherToolkit-6170564/











Before the lesson started I set out my classroom so that all of my 9 students (yes, I only had 9 students in my set 5 year 8 class) were sat around a single grouped set of tables. I then laid out the cheap paper tablecloths I got as part of my experimentation with #poundlandpedagogy. My aim with this was that the students would write on the table cloths throughout the lesson, rather than in their exercise books. The table (and cloth) were then added to with whiteboard pens and felt tip pens for the kids to use throughout the lesson.

The lesson started with an image of the answer/s to one page of their recent assessment (putting the lesson in context) with the particular question I wanted to address, the probability question, circled.


In addition to the image on the board I then started to introduce the lesson to the students as they got sat down. I showed them a bag, in which there were 11 multilink cubes of various colours and 1 'fruitella' sweet. I asked the students to write down any key words as they were said throughout the 1st task (and lesson on the whole). I then started to ask students to pick at random, from the bag a multilink cube. At this point they had no idea what was in the bag or what colours the cubes were, how many cubes there were etc. The point of this was to see if they could come up with an estimate for how many of each colour there were based on each students' picked item/cube. I went round the table after each student asking questions such as 'what do you think the chance/likelihood/probability is of that colour coming up?', 'is that colour more or less likely than another?', 'do you think the probability of that colour being picked is more than 1 in 2?' why? why not? etc.

After each student had had a go, and none of them had picked the sweet, I revealed to them all the contents of the bag. Throughout the task they had been writing down, on the table cloth/table the results of each student's picks. We then compared, after a brief moment of shock at the fact there was a sweet in the bag, the results with the actual items in the bag. Here I checked their understanding of how we express probabilities by asking what the probability was of each colour coming up. I then checked this further by going through 2 slides on my notebook file I created for the lesson...

 As you can see I checked here whether the class were able to express a probability as a fraction, revealing the convention when a few struggled. We also discussed here that probabilities of as single event occurring add to 1.
 To provide a link into the main activity I then did a similar thing with a dice rather than a bag of marbles to show that regardless of the event the conventions stay the same in terms of how we express probabilities. The dice on this slide is an interactive tool that when clicked 'rolls' the dice to generate a number - really useful. I got this off the TES somewhere but can't remember the particular resource. If it's yours let me know so I can link to it!

After this checking (mini plenary if you like) I set up the main activity by revealing the lesson objectives, showing what we had already covered and what we were going to look at next. I then explained the main task and gave out the dice and counters for the class to use. The main task consisted of each student individually rolling 2 dice. The numbers rolled on each dice would then determine which of 3 counters they would move up a space on the strips of paper they were given. If they rolled two even numbers one of the markers would move, two odd numbers a different counter and if one was odd and one was even they were to move the other (and final) counter. The winner was the one that got to the final 'square' on their strips. Here's the slide and image of the strips they were given to use...

The instructions, which some of the students found tricky to understand 1st time, were left on the board and reinforced to those that needed it. I worked with one student as I didn't have my LSA with me that lesson and they needed a bit of further support to get rolling!
There was an extension on the board too for those that finished quicker than others, which 2 or 3 of them got onto after being reminded what a square number was and what a prime number was. At this point I referred these students to the prime numbers display they had done earlier in the year (posters of the 1st 10 or so prime numbers).

This was the 'strip' of paper the students were given to place and move their markers up and down.

After the activity was done and each student had found a winner, which they wrote down on the table cloth, I went through our class results and then posed the question to the class 'why do you think this happened?'. I took a bunch of responses to the class and then drew up a sample space diagram to illustrate why it had happened.

We discussed the 'liklihood' of each counter being moved and then moved on.








The 2nd main activity involved rolling dice again. This time, I gave each student a sheet with numbers 1-36 written on them in a grid. I gave each student 10 markers to place on any of the numbered squares in the grid and told them not to show their partner. They could put more than 1 marker on a square, but no more than 3 on any one square. This was something that needed explaining a few times. I kept the instructions on the board too whilst the activity went on. I told the class that I would be rolling two dice and then multiplying the numbers that came up. If they had a marker on this number they would then take it off. The person with the most markers left on their sheets at the end would be the winner.

This is what their grids looked like. After the rules had been explained the students started to ask questions based on what they had just learnt about the dice and the probabilities of certain numbers coming up. We had a brief discussion of each question (without spoiling the outcome of the activity) before then starting to roll some numbers. At the end of the task I asked the students to now place their counters a 2nd time based on the squares they thought were best to put markers on (i.e. those that couldn't come up based on the rules of the game). This checked their understanding of the task and of the probability of certain numbers coming up, or not.

Finally, the plenary...

I really like these types of plenaries as they really do highlight who has grasped the lesson and who hasn't. They were each asked to write down, on the table cloth again, an outcome to which the answer was on the board. One by one I then went round the students asking for them to read out their outcome (a bit of literacy here) i.e. 'tomorrow will be a Saturday', 'the probability of rolling a 6 on a dice' and then asked another student to state what the probability was of that student's outcome using the probabilities and key words on the board. This was also differentiated by ability by the probabilities that were chosen. Most chose the worded probabilities like 'impossible' and 'evens', but there were a few at least that used the fractions to express their outcome (and correctly so).

Here's how the table looked at the end of the lesson...

As you can see, lots of key words written over the table. My explanation of '1 out of 12' and how this is written too with the 'out of' being the line between the numerator and denominator of a fraction...what is this line called? Is it called something? I think I have heard it referred as something other than a 'line' before? Answers on a postcard please (comment below).
The feedback I received from my assessor was really positive as my final assessment showed. His only 'concern' was the writing on the tables. One student had to write on the table as the cloth didn't stretch right the way over the grouped tables. I had written on the tables in the past with the class as it rubs off easily (I checked beforehand). My assessor's concern was that students, if allowed to draw on the tables in my lesson, could go to another classroom and do the same, assuming it was ok.
In an ideal world we'd all have whiteboard paint over our desks, on the walls etc to create a truly interactive environment. I have seen 'white rooms' before in libraries and universities where students can literally write on the walls, floor, ceiling, tables, chairs etc. All of which can be rubbed off and reused. Something for the future perhaps.



So, that's that. I got that 'buzz' throughout the lesson that tells me that everything is linking and going as I had envisaged; this doesn't always happen! The class were working fantastically throughout the lesson and were asking questions throughout. This was not the 'norm' with the class by any means and at times they had been difficult to teach/control. This lesson (and plenty of others) however, they were fantastic. I feel they got a lot from the lesson and just hope that they remember it for the future; retention is a key problem with the class.

I will use this 'format' of lesson in the future with small lower ability groups and may even use it with larger class sizes, students in groups with perhaps a different probability task to complete for each group. I may even do it with 'home' and 'expert' groups to get students moving round the room after each task to discuss their findings with other groups who hadn't seen/done certain tasks.

I hope my experience of my assessment will help others, and that ideas can be taken from the lesson I did with my year 8 class. It was one of the most enjoyable lessons I had with the class and one of the lessons that stands out from my NQT year (lucky timing on my behalf here).

Balloons and #poundlandpedagogy

As part of my experimentation with #poundlandpedagogy I had bought some balloons to use in class. Now, last year, for one of my formally observed lessons on my GTP, I used balloons to hide 'clues' in for the project-based lesson we were doing. This year I decided to use the balloons to pose questions to the class to try and answer throughout their lesson.

On each of 7 or 8 balloons I wrote a question, the session below involved quadratic sequences, and in the balloon (prior to blowing them up) I placed the answer to the question on a piece of paper. The idea was, throughout the lesson, where we looked at quadratic sequences, if a student felt they could answer the question on any of the balloons they would let themselves be known and I would come and check their workings. If and when they did this they would then be allowed to come and pop (very carefully) the balloon they had answered with the magic balloon popperer (a compass). Out would fall the answer to that balloon's question and they would then win a prize (also got as part of #poundlandpedagogy).

Here are the balloons...


 It wasn't long on entering the class that my students immediately asked what the balloons were for.

The questions they had to answer were those that were only possible having learnt what they did in the main part of the lesson (unless, like one of my students, they clearly had some prior knowledge of quadratic sequences...he popped a few). This meant that the attention I got from the students was even greater than usual, with them all craving the knowledge to be able to answer the balloon questions and pop them to reveal if they were correct. I only checked their answers initially to ensure I didn't have 7-8 popped balloons with no correct answers.
It is definitely something that I will look to do again. It creates a great amount of intrigue, motivation and desire in the students. It also brings a great competitive element to the lesson to see who can be first to answer each question/pop a balloon.

I also used the string I bought as part of #poundlandpedagogy to hang them up next to the board!

Selasa, 23 Juli 2013

Musical Chairs

Throughout the year I have experimented with many different seating layouts in my classroom, which I revelled having this year. Each of the different layouts had their own purposes depending on what I was intending on doing with certain classes at certain stages throughout the year. I'm sure everyone has their own particular favourite seating layout. Personally, I still don't think I've found a 'perfect' arrangement. There are pros and cons to each, but I ideally think that your seating layout should fit the purpose of the lesson and in an ideal word we'd all have a set of magical Maths trolls that would come out between each lesson changeover and move the furniture accordingly.

Now, for many teachers I'm sure space in their classroom is a major issue in terms of whether there is literally enough space to have the tables and chairs spread out in groups or in rows. One problem I may face next year, when moving back to the school I was a cover supervisor at (very excited by the way), is that my room isn't as big as the one I've enjoyed this year and has a weird 'side room' within the room. There's currently a load of filing cabinets in this space, but I'm hoping to clear this area for some sort of 'TA table' where my LSAs/TAs can work with small groups as directed/discussed.

I'm sure I'll find a way of rearranging the furniture such as I have this year, but for now let's see the different layouts I've used this year. You'll probably see gradual changes in my room displays too, throughout the pictures. I tried to change things and mix things up as much as I could this year. Mainly due to wanting to keep my students on their toes, give them a stimulating environment to work in and ensure they had that wonderment of what was going to happen in their Mathematics lesson that day; what the room would look like, would they be doing group work etc etc.

Start of the Year:

 
To start the year off I kept it simple...rows! I kept a walk through in between the desks for me to easily move up and down the classroom. On the odd occasion I'd use the back of the classroom (quite a big area) to teach here too, or use the back wall display to refer to something another class had produced (or remind a class of what they had done previously).
 
The advantage of the rows at the start of the year was that it enabled me to set out my stall. Rows are great for maintaining discipline and setting out the boundaries. All students are facing the front and so have no excuses for not looking towards the front when expected. It is easy to see those that have turned round to chat to those behind them. I found that it was also good when seating my SEN students at the start of the year and getting to know how much/little support they would need early on. These students were either sat on the front row or on the ends of the rows, easily accessible via the gap going down the middle.
 
The negatives of this layout are that I found certain students, depending on where they were sat, did not get as much of my attention as perhaps other students did that were easier to get to. The students that are sat on the ends of the rows nearest the walls/windows, especially in the middle of the classroom where those that were just physically hard to get to without having to squeeze past chairs. A major downfall for me was also that, as many of my classes were lower sets they only contained a maximum of 12 students. These students found it hard to concentrate and would need sitting with and extra support to understand their work. The rows made it hard for my LSAs and I to easily get round them all and sit next to them to support them if a row was 'full'.
So, I felt a change was needed.
 
Before the actual 'change' from rows I did experiment by moving the desks into other arrangements when I was doing group based tasks that I didn't think rows really complimented. Here are a few, 'one off' arrangements that I did for those lessons where I felt rows were not suitable...
 
 
What I would call the 'as exam-style as I can get' layout. This was used when I needed the classes to work in exam-style conditions. This mainly occurred when doing the termly assessments. However, this layout was also good for paired work, especially when the tasks were quite competitive between pairings.

 
'Circle Time'. I used this layout with my Year 7s a few times as I liked the way we could discuss certain things together. One particular lesson involved looking at sequences. Another, collecting like terms.
 
After the rows (with some dispersed 'one-off' layouts) I went to a 'spine' layout...
 
 
The 'spine' layout was possibly the least successful layout for me personally. Although, another teacher that used my room when I was free said that they really liked it and was a bit disappointed when I changed it.
Note to any NQT/ITT (or teacher for that matter) whose room gets used by other members of staff when you're not teaching in there...make sure you make those members of staff that teach in your room aware of any changes to the seating layout! Some members of staff will get a bit 'perturbed', shall we say, of constant unannounced changes, others will adopt an attitude of 'it's your room, do what you like with it'. Know your colleagues!
What I was hoping to do with this layout was to have a layout that allowed the ability to work in groups at the same time of everyone being able to face the front and still act as if they were in 'rows'. However, what I found was that there were far too many distractions for my larger classes. Not only could they see the person sat next to them, and the other pair that were linked to their table, but they were also able to see over to the other side of the room. This led to some silly behaviour at times with the more difficult students. There was a lesson where the poor student sat on the back right's bag ended up under the table at the front left in a game I'll call 'pass the parcel whilst Collins' back is turned'. My smaller classes (size wise, not height wise) did benefit from this layout however, as my LSAs and I were able to support students easier and were able to teach the students in smaller groups, which at this point in the year was becoming far more important as it became evident quite quickly that they, as a group, did not have the attention span nor concentration to be taught 'as a class'. Teaching in groups was how I found best to teach my lower sets - with the much needed support from my amazing LSAs (who I briefed at the start of each lesson/ beforehand if possible).
 
So, this 'half way house' just wasn't good enough and so having tried grouped seating when doing group work in the odd lesson here and there I decided to go the whole hog and change the seating layout to 'groups'...
 
 
 
The 'groups' consisted of 5 grouped desks, which each sat 6 students. There was then a single table for 2 students to sit on that I had at the back of the room. The difference this layout had on my set 5 classes was just what I needed. It allowed me to work with one table of 6, my LSA/s to work with the other table of 6 and then we'd swap over for me to check understanding of the other table/teach them whilst my LSAs went and supported the other table with the work they had just been taught. This worked well for these classes (of which there were 3). It may not seem like the most practical way of doing things, and yes it did mean a lot of repeating what I had said on a number of occasions. But, what it did do, is for me to easily see where everyone was with the work, move those students on faster that were capable to do so and give further support to those that were struggling. It meant I could sit students on either of the tables based on where they had got to in previous lessons and there was a good element of competition between the groups when the task allowed it.
The larger groups didn't lose out either. My classes where I had 32 students remained working well as they had done. From the dispersed group work lessons at the start of the year, and from the feedback my survey monkey survey provided me, my classes liked doing group work activities. My 'exam classes' were now sat based on their mock grades so I had students of similar ability working together, allowing me to differentiate class activities more easily. I even used the front table in my top set year 9 class as the table for my G&T students. They were all sat on this table, right under the class board, which allowed me to go through trickier problems/concepts as and when they finished the main class tasks. I did of course invite others that had finished elsewhere to join in the discussions as and when this happened, rather than singling out the front table as being the most able.
Luckily, the room space allowed there to be a lot of room still between desks and it was much easier to ensure I got round each student in the class, more so than I was able to do (subconsciously anyway) with the 'rows'.
 
Finally, towards the end of the year, I thought I'd go completely bonkers and combine the two main layouts ('groups' and 'rows')...
 
 
Now, I feel I need to give this a bit more of a go next year, as I see potential here. Half the class in 'rows' the other half in 'groups'. This allowed me to do the best of both worlds in terms of my set 5 classes could still work on 2 of the grouped tables, and we ignored the 'rows' half of the class, unless of course I needed to use this space for naughty students! The larger classes were slightly tweaked in terms of who worked best on groups and those students who perhaps worked better individually and preferred a bit more quiet to just get on with their work. Knowing my students helped a lot here.
As I've mentioned above, I think I may need to try this out this coming school year to really examine the benefits of it. Possibly at a time of year where the activities I'd be doing aren't so much 'end of term'.
 
A few things to note about changing the layout of your room:
 
Make sure their is a purpose for doing it, and not just because you got bored in a free period.
Be aware of any students with SEN (particularly ASD) as they will need to be given prior warning of the change and will need to know where 'their' seat is/will be.
You'll need to change your seating plans, this will take a bit of time to change if it's an electronic version, easier if you just take a photo and write over it.
Let other staff know if/when you're going to change it.
Don't change your expectations just because the seating changes. Reinforce your classroom rules in the first lesson of each new layout.
Where will you sit your most 'tricky' students? At one point in the year I thought it'd be a good idea to sit my 'trickiest' 2 students together, at the back of the class. My reasoning being that they'd distract less students all that way back their...WRONG! This didn't work, and neither did they!
Where are your LSA/TAs going to sit? Get their opinion on the new layout/s.
Tell the class why you've changed the layout and their seating positions - they'll feel as if they've been involved in the process rather than just told what to do with no explanation!
 
If anyone has a particular favourite layout that they've used, be it one I've used this year or one I'm yet to experiment with I'd love to hear about it. Comment below or tweet me @mrprcollins.