Once a fortnight in our department we have a spare 10 minute briefing slot, so a couple of years ago, our then TLR holder introduced a teaching and learning briefing session to share good practice. These are usually topic based for upcoming topics! Today’s, however was a feedback on 100 outstanding maths lessons, by Mike Ollerton. A few of us were tasked with reading and trialling out a few ideas.

One colleague had tried out the cuboid and prism volume, a lovely activity of folding a piece of paper length ways into a cuboid (or bigger edged prism) and using the open end on square paper to find the area and then volume.  Another tested out idea was an angles activity, again starting with a piece of paper, following some rules for folding to provide more than 20 angles to work out using angle rules, or to measure.  What’s even better with these is the lack of time needed to prepare resources!

The ideas I tried out included another paper folding activity to help adding fractions with different denominators.  It was a great way of helping pupils understand how to find a common denominator and why, especially with my lower set group.

image

I also tried out partition and product – a number investigation which was easily adapted for a lower set year 9 group and top set year 7 by how much information was given to the pupils to start with.

The final idea I partly used was area of 20cm2, but instead of using area, I found a similar idea using perimeter of 12cm.  It worked really nicely with the year 7s, particularly as I could use the visualiser to display some ideas, which then prompted others to find more interesting shapes.

100 Outstanding Maths Ideas (3 of them)

I would really recommend the book.  It does what it says on the cover: Outstanding Ideas, which come with the bonus of being able to use without time needed to prepare (or photocopy) resources.

 

Observing Classroom Practice

I had a great opportunity today.  With Yr 11s on their mocks, I had a free hour to visit another school and observe some excellent classroom practice.  In 7 years teaching at my school, I hardly get chance to observe other members of the department, let alone going to another school, so I grabbed at the opportunity to spend a really fruitful hour soaking up fresh ideas.

Problem Solving Excellence

Although I only had the chance to go into one lesson, what struck me about it was the problem solving approach.  A small amount of practice, with differing levels of difficulty, on rotation, was quickly followed by a combination of transformations challenge.  Accessible to all at the start, but quickly made pupils think.  Key information was given and highlighted by the teacher, but pupils were allowed to explore first.  I know it’s nothing mind boggling new, but seeing it work was eye opening.

Having chatted to another member of staff after the lesson, it is clear it’s the nature of the scheme of learning and the culture within the department which enables this approach.  I’m very interested in the mastery approach, but this is not something I can control in my department, being a mere minion, but it is something I can try and influence.  The difference in being able to have time to learn, explore and problem solve over a few lessons instead of rattling through each topic per lesson must be invigorating.

Thinking about my classroom

So armed with a bucketful of ideas and having observed a successful different approach, my next step is to see how I can more successfully bring problem solving to my pupils.  The more the pupils have access to problem solving, the more successful they will become at it.  My difficulty will be squeezing it in to our packed scheme of learning.  However, from September I had already started finding and sharing some rich tasks for year 7s, and this has given me new momentum to integrate these into my teaching.

 

 

For the past 3 and a half terms I’ve been thinking far more deeply about home learning. Three reasons for this; firstly we have no set structure for home learning in maths at my school, except for it to be set on a periodic basis (differing for KS3 and 4) and it is assumed it will be comment marked. Then, I was receiving very poor quality home learning, if any, from some groups, which I needed to deal with.  Finally, my son started in year 2 last September and was given weekly numeracy and literacy homework, which started many a conversation with fellow parents of year 2, conversations which are still going into year 3.

I have read overviews of Hatties research, particularly from @guruheadteacher here.  It makes sense to me regarding the impact of homework on different age groups, and reinforced my own personal opinion that homework in primary school isn’t necessary.

Last year I experimented with different types of home learning. Not great for consistency for the pupils, but it did give me ideas of what worked well and I could take forward. My own philosophy in home learning is that it must be able to be done independently and I must be able to give a specific reason for setting that home learning.  The difficulty with the assumption that the home learning would be comment marked was that those who didn’t hand it in didn’t get feedback, and so couldn’t make improvements in their understanding and work.

Before I get to what I have ended up with this year, below is a summary of what I tried.

Topic Exercise

This is made up of a question on each area of the topic we had covered since the last home learning. It would include a problem solving question and a literacy question where possible.  I’d put in challenge questions, which weren’t compulsory, and include past exam questions for GCSE groups.

Pros: pupils got practice of a range of of skills learnt in the topic

Cons: with such a range of questions, it’s more difficult to focus on areas where improvement could be made and more pupils would leave sections blank, rather than attempting questions, as they couldn’t remember the mathematics from a few lessons ago

Basic Skills

A set of questions based around the basic skills scheme that we use on a fortnightly basis. Questions would be set from where I’d seen difficulties and were levelled, so each pupil would have the same level as they were working on in class. Types of question would be repeated for 3-4 home learnings to allow pupils to refer to and act on feedback for the next home learning.

Pros: there was clear improvement from pupils week on week as they used feedback to inform them.

Cons: it was disconnected to what we had been learning in lessons

Takeaway Home Learning

Inspired by Ross McGills book and directed to the the takeaway home learning by my supportive Assistant Head, who has responsibility for T&L, I put together my own takeaway home learning. I didn’t want to over complicate the set up as the aim was for pupils to produce a quality piece of home learning.

Pros: more home learning was handed in, and different styles used to consolidate understanding of the skills the pupils had been learning; feedback from SEN department was that it was more accessible for their pupils.

Cons: I had put a questions choice in their, and some pupils were quickly and badly answering that section, rather than create their own takeaway home learning.

Practice questions

These were different to the topic exercises as the questions were based on what the pupils had just been learning in the last 1-2 lessons. There would be repeated questions, gradually getting more complex and the aim was to reinforce the pupils ability and memory for what they had just been learning.

Pros: pupils were using skills that had very recently learned and so the practice was consolidating this. As it was repeated practice on a smaller range of skills, it enabled more effective and focused feedback to pupils.

Cons: if a pupil had struggled with the skill in lessons, then a practice exercise was daunting and occasionally led to a pupil writing that they didn’t understand and not trying anything (although they should have come to see me!!)

Exam Papers

We are provided with past exam papers and practice papers for our Year 11 groups and some of these were to be set as home learning. Strategies such as odd questions only meant that it could be used within the 1 hour weekly home learning slot for KS4.

Pros: pupils were able to get guidance for questions they had struggled on, and use this to improve their answers, and some pupils were independent enough to use maths watch to help revise how to answer certain types of questions.

Cons: using exam papers for home learning meant that I didn’t then have them to use in lesson time, and sporadic completion of the exam papers meant that some pupils were (wilfully) missing out on a valuable resource.

Cheat Sheet

I would set this home learning if I was going to assess pupils on a particular topic the next lesson.  Pupils home learning would be to prepare a cheat sheet on that topic – what information, facts, methods etc. would they write down to take in an exam with them, if they were allowed.

Pros: it allowed pupils to write down information, and choose specifically what they thought would be useful.  They were allowed to use this sheet in their assessment, so they had something to refer if they were getting a bit stuck.  I also had a comment that they didn’t need to use their cheat sheet because they had remembered what they had put on it.

Cons: it was a poorly completed home learning, which then meant several pupils weren’t prepared for the assessment.

Prepare some work

I only used this once, so shouldn’t really make any judgements on it, but I did ask one year 10 class to prepare some work on Pythagoras. They’d covered it before in year 9 and we were about to start Trigonometry, so I thought it would be a useful home learning so they’d refreshed their memories before the lesson.

Pros: pupils came to the lesson prepared for the topic, so more lesson time could be used purposefully rather than revising.

Cons: pupils who didn’t do the preparation would need more lesson time to get them up to speed.

Home Learning for 2014-15

Following this, and in keeping with my philosophy for home learning, I’m setting two main types this year. Earlier on in the topic , I set a practice questions task in an aim to consolidate pupils learning. I have been including useful information on the worksheet to help focus pupils. The second type is a takeaway home learning piece, without the option of completing given questions. The aim of this is for pupils to revise the topic and consolidate their understanding in a style they prefer.  I did like the cheat sheet, and it worked well for pupils who actually did it, so I will be setting that sometimes instead of the takeaway home learning.

For marking, I am comment marking the practice questions with www. ebi .com, in line with our school policy. The takeaway home learning will receive a RAG123 mark (and often a short comment from me), but on these home learning due days, I set an assessed task in lesson, which I will be able to give the www. ebi .com feedback on.

The basic skills I now just do as starters for years 10 and 11, very similar to @just_maths bread and butter questions and @corbettmaths 5 a day.

I have set one part of an exam paper so far for Year 11, but saved three questions to complete in exam conditions at the start of the lesson it was due in. I’m also thinking of starting an exam paper in lesson, then setting home learning as completion of it, in a different colour pen.

So far I have seen an improvement of the quality of home learning that is produced, and that implies to me that it is more effective for the pupils completing it.

Maths Foldables

Something I happened across when searching for a resource was a maths foldable. As I delved deeper, I discovered they’re all the craze in America, along with interactive notebooks. I quite liked the idea of actually making something to provide notes on a topic rather than just writing in the exercise book. My thinking was that these would be particularly useful for younger pupils and lower group pupils, but this week I’ve used one for Yr 11, and they’ve used it really well.

Constructions Foldable

6. Geometry Construction Book Foldable (Print double sided, along long edge).

Yr 11 have been learning the constructions and having found this foldable from ispeakmath and tweaked it, my yr 11s have used it to draw their example construction and then refer back to it when working on the different types of constructions. It worked well with the mathopenref.com site, which enables a slideshow of the constructions to loop round.

Other foldables I’ve attempted so far are the multiplication grid, BIDMAS, transformations, divisibility and rounding.  For the lower groups, having a template seems to have been successful so far, and just having something a bit different in their books as a point of reference for the topics is very useful.

Mult Grid

 

IMG_2080 IMG_2079

1. BIDMAS Foldable

IMG_2084 RRTE Foldable

IMG_2083 5. Divisibility foldable

IMG_2082 5. Rounding inc sig figs

Just wanted to add at the end, that making these quick reference tools follows investigation and discussion; they’re not just a write and do tool!

 

 

Classroom Sorted

Having viewed a few ideas over the holidays, I spent the first day back, after all the initial meetings and sessions, getting my classroom sorted.  Can’t go in during the holidays with my boys, so got all prepared, ready to staple when I got in.  As a job share, we both have things we’d like on the walls, so just happily staple around each other!

I love being able to display students work.  This year, I’ll be doing my best to display work which has shown an excellent effort and attitude in completing it.  To make it easier, I nicked the idea of bulldog clips, pinned in, so I can quickly clip work onto the board.  I saw this idea from a post on twitter – next is to write down who posted these ideas so I can credit them for it.

IMG_1988

 

The next one I nicked from @just_maths.  There’s a big emphasis on independence this year, so liked Just Math’s way of making it clear the steps to take before asking me!  You can just see my Fraction, Decimal and percentage equivalents hanging in the background, in the hope that the more the pupils see the more common equivalents, the more it will sink in.

IMG_1990

 

“Be Kind, Work Hard” I thought was a quick summary of expectations for the classroom, so displayed above the board to be seen every day!  Again, I need to make sure in future I credit others properly, as this was another idea I saw on twitter. The number pencils have been on top of my board since I moved into the classroom!

IMG_1991

 

So with the classroom freshened up, I can now get down to the real job of knowing my pupils and preparing some lessons!

Learning Mats

It’s that time in the holidays, when, after finally managing to take a complete break, I’m back reading twitter and blogs, mentally preparing for the new year. Very quickly, mentally preparing has become resource preparing.

Last year, I created some learning mats (Basic Learning Map) to aid pupils during their lesson time. I ended up only using them with a lower year 9 group, especially with a couple of pupils who particularly used the 100 square to support their number work. I very quickly wished I’d put a multiplication grid on, as although an advocate for pupils knowing their tables, I also do not want pupils to feel as though they can’t progress in other areas because they don’t know their tables! A blog for another day.

So after coming across Colleen Young’s (Learning Names) idea for name cards, I thought this could be an opportunity to create support aids for pupils which they can keep themselves Name mats. It is initially my year 7 group I have in mind for this, as they are the only group I won’t know, having started our timetable at the end of the Spring Term. The algebra basics comes from a poster created by Mr Williams Maths (Algebra Basics).

The one section outside is left blank for pupil’s to complete with their names, whilst along with the conversions and area formulae, the other section inside I thought pupils could add their own particular ideas that they want to refer to.

I am taking on a Year 11 class this coming year, an extra group that gets created for Year 11 as an extra teacher is put in.  They are C/D pupils, so next step may be to create a name learning mat for that group.

Name Learning Mat Name Learning Mat 1

The end of term has finally arrived, and whilst I’m most definitely looking forward to spending quality time with my boys, I’m also keeping in mind ideas to take forward with my groups in Seprtember.
The first is simple, and I wish I’d thought of it much sooner. Give the answers whilst pupils are completing exercises! Not next to the question of course, but all mixed up. I’ve done this twice in the last week of teaching. First with a lower ability year 8 who were using column addition and subtraction, and then with high ability year 10, who were doing a directed follow up exercise on Sine and Cosine rules. What worked so well was the pupils were checking their workings if the answer wasn’t there before asking for help. And if they had got it wrong, it didn’t get left until the end; if they were correct they could move on confidently. It seems so obvious now!

Unlocking Numeracy

I pinched a great idea from Tes last week for a numeracy activity (sorry to the person who shared I can’t remember who you are to reference you).  Pupils had to find the code to open the padlocks to the box.  Simple and probably used by many people before, but first time I had used the idea, and definitely one I’ll use again.  It was with a bottom set year 9, and most were really motivated to completed these column addition and subtractions, including borrowing and decimals, so they could have a go at unlocking the box.

Locks

You might notice the locks didn’t actually lock the box, but the pupils played along!

Locks Column + –

Learning Journey

With a new timetable for the last 3 weeks, I thought it would be a great chance to try some new resources.  So with my middle 8s an bottom 9s, I have used a learning journey for their unit of work, following discovering http://www.growthmindsetmaths.com.  I just adapted for my groups and unit of work.  It involves an initial assessment, with peer assessment, so pupils can see what they can already do and then set targets for what they would like to achieve from the objectives.  I just asked them to think of one thing they’d particularly like to be able to do, but emphasising it’s not the only thing they’ll be doing!  At the end of each lesson, they write what they have learnt (on their journey!).  Hopefully it will help them see their progress over time.

Learning Journey Numeracy

oops! Upside down photo!

 

image

 

image

This is the first year we’ve given year 10s a past paper for their end of year assessment, and I’m really pleased we’ve done it.  Not only does it give the most realistic working at grade, but I can do a proper analysis of the topics assessed so I know initial areas to target with my group.  Thanks to http://www.justmaths.co.uk, as I was able to adapt one of their results templates from a more recent exam to the June 2012 exam and have rolled out with all our year 10 groups. Actually looking forward to inputting the marks to get the picture of where we are and what we need to do.

June 2012 Foundation Edexcel Results Template

June 2012 Higher Edexcel Results Template

Unfortunately, I don’t seem able to upload with the macros working.