Hopefully if you are involved in secondary school data you will already be aware of the publication of the Ofsted "Inspection dashboards" which are available via the RAISEonline website.
However there is an issue with the data that will be shown in these dashboards as for many schools in 2014 there is a difference between best and first entry, meaning that the dashboards may distort the picture. For some schools this may also be the case for 2015.
Furthermore the dashboards published so far do not allow comparison of the latest data - potentially imminent in its release, however it's useful to know what to expect.
To try to overcome some of these issues while still presenting the data in a format very similar to the official dashboard I have thrown together a spreadsheet that emulates the Ofsted layout as much as I can (given Excel's limitations).
The file can be downloaded here: http://bit.ly/Inspdashboard.
The file as shared contains dummy data (mostly derived from the anonymised version of the dashboard that is available in the RAISEonline library), which you can overtype with data from your school. Obviously you'll need to do the actual calculations for the numbers yourselves, or with whatever package your school uses to process/estimate the stats for your figures. The sheet simply presents the data in a way that is similar to Ofsted's official version. Note this was made so that I could present data within my school so I'm afraid that some of the sheets are a bit fiddly to use - afraid I've not had chance to make it slick, but it does work if you take the time to enter your data! Most of the sheets are fairly obvious where the data entry goes - I'm sure you'll figure it out with a bit of trial & error.
My perferred way to print the file is to get Excel to print the entire workbook. It does come out with a blank page on P6 when doing it this way - not been able to fix that so either ignore it or don't print that one.
Hope this is useful!
Tuesday, 13 October 2015
Saturday, 11 April 2015
The Pareto principle and the great divide
I just scared myself looking at my last post...it was at the end of January! So far this academic year has seen just 5 posts to my blog - in previous years I averaged 1 post per week during term time. In fact I've just passed the 2 year anniversary of starting this blog and I've now written less since September 2014 than I have at any time since I started it. I think it's about time I explained why...
SLT role
Good grief it's busy as SLT! I wrote a post (here) back in October about my first month as SLT and the multitude of unexpected pressures that suck away at your time. In all honesty I've had to stop posting to my blog so regularly because I've simply been that busy that I couldn't justify any more time sat in front of a computer writing a blog post each week. I've wanted to post, in fact I've even started a decent number of them and then saved them in draft because I wasn't able to finish them to a point where I'd be happy to share them publicly. In fact half of this post was written months ago, but seems to fit with what I wanted to say today.
This isn't intended to be a whinge about workload or that kind of thing so don't worry about digging out the violins, however I do have some observations about the tensions caused by the SLT role.
Is there a great divide?
As I got closer to and then started my new role as assistant head and I became increasingly aware of the perceived divide between SLT and middle leaders/mainscale teachers. I know it's not just at my school, I've seen it at every school I've been in but it becomes really clear as you get up close to it and then jump across into SLT, I think it's particularly visible to me as I stayed at the same school.
It started with the jibes from my fellow Friday afternoon staff footballers who were counting down the number of games I was likely to be at before I become "too important" to play with them. I'm pleased to say this has stopped as I've carried on playing!
It continues with discussions about timetables where as an assistant head I teach less than half the number of lessons I did as a head of department, leading to jokey conversations about me having plenty of time to think up jobs & initiatives to keep the middle leaders and mainscale teachers busy.
The thing is the structure of a week for a member of SLT is so massively different to that of a middle leader they look like completely different jobs. Compare SLT to a classroom teacher and it's even more different - I actually teach only slightly more lessons than a main scale teacher gets for PPA.
SLT role
Good grief it's busy as SLT! I wrote a post (here) back in October about my first month as SLT and the multitude of unexpected pressures that suck away at your time. In all honesty I've had to stop posting to my blog so regularly because I've simply been that busy that I couldn't justify any more time sat in front of a computer writing a blog post each week. I've wanted to post, in fact I've even started a decent number of them and then saved them in draft because I wasn't able to finish them to a point where I'd be happy to share them publicly. In fact half of this post was written months ago, but seems to fit with what I wanted to say today.
This isn't intended to be a whinge about workload or that kind of thing so don't worry about digging out the violins, however I do have some observations about the tensions caused by the SLT role.
Is there a great divide?
As I got closer to and then started my new role as assistant head and I became increasingly aware of the perceived divide between SLT and middle leaders/mainscale teachers. I know it's not just at my school, I've seen it at every school I've been in but it becomes really clear as you get up close to it and then jump across into SLT, I think it's particularly visible to me as I stayed at the same school.
It started with the jibes from my fellow Friday afternoon staff footballers who were counting down the number of games I was likely to be at before I become "too important" to play with them. I'm pleased to say this has stopped as I've carried on playing!
It continues with discussions about timetables where as an assistant head I teach less than half the number of lessons I did as a head of department, leading to jokey conversations about me having plenty of time to think up jobs & initiatives to keep the middle leaders and mainscale teachers busy.
The thing is the structure of a week for a member of SLT is so massively different to that of a middle leader they look like completely different jobs. Compare SLT to a classroom teacher and it's even more different - I actually teach only slightly more lessons than a main scale teacher gets for PPA.
I'm not necessarily saying its wrong, but it changes your perspective of the job massively. A marking policy that is completely manageable on an SLT timetable can become tough to manage as a middle leader, and completely impossible as a main scale teacher. Teaching a difficult group when you have loads of time to prepare/recover, plus a level of seniority to trade with, is very different to having a similar group amidst full days of teaching.
Of course much of the time not teaching as SLT is spent doing management & leadership functions, so the "loads of time" is a fallacy, but the perception is there from those outside of SLT even if it's not the reality.
I like to think I'm fairly approachable and try to make sure that I spend time talking to colleagues at all levels of the organisation, and have great working relationships across the school. A great part of that, and the fact that I wasn't always SLT at this school, means that I think some are more open and honest with me than they might be with the other members of the leadership team. I know for a fact that that some will say things to me that they wouldn't dream of saying to others in our SLT. This gives an interesting insight at times...
No time for perfection
I think the biggest actual disconnect I've discovered as part of all of this is the perception from many staff in general that all actions from SLT are deliberate, and that SLT have complete control over everything that happens in the school. Now I'm not suggesting that we go around blundering into things and have no control over what goes on, but we are a team of humans and with that comes limitations. Similarly we work in a setting that has a massive number of stakeholders with a vast array of needs and agendas, and are subject to legistative, judgemental, procedural and time constraints that limit or shape things in all manner of ways.
Sometimes the size of a team means that not everyone can be consulted properly in advance. Sometimes the speed a decision needs to be made means that only the most central consequences can be considered (see comments about Pareto below). Sometimes an element of planning falls between areas of responsibility meaning it gets missed. Sometimes a task is simply not done quite as perfectly as it might have been because a human has done it or they ran out of time. All of these are issues to be guarded against, and even planned to be mitigated, but none would be done deliberately. However I know from that the consequences of what I know to be a small human error at SLT level can be seen as a direct decision to undermine or cause issues for other staff.
I've seen a situation where a given member of SLT has been working as hard as they could on something, but due to the realities of life in schools it ended being delivered to a wider audience slightly before it was completely finished. The reception from others in the school was frosty "it's a half baked Idea", "they've not considered the impact on...", "why couldn't they have told us that weeks ago?" and so on. The expectation from the school as a body is that the SLT have all the answers and have the time to plan everything out fully. The reality is that there is so much going on that there is too often no time to complete any task fully, sometimes it just has to be good enough to get the job done.
Pareto principle for leadership
If you've not heard of the Pareto principle it stems from the observations by Italian Economist Vilfredo Pareto that 20% of Italians own 80% of the land. This has been extended to business in various ways with assertions that 80% of profit comes from 20% of your clients, or 80% of sales come from 20% of the sales team. It is also used in health and safety where 80% of injuries come from the 20% most common incidents and so on.
In my experience it can be fairly safely applied that about 80% of the behaviour incidents in a school come from just 20% of the students (you know which ones!). Similarly about 80% of the high grades come from 20% of the students. 80% of absences come from about 20% of staff, I could go on...
Furthermore another aspect of Pareto in terms of leadership is that if you consider 20% of the stakeholders in a given decision then you'll probably expose 80% of the potential issues. Due to time pressures and general day to day management constraints it is common for leaders to have to revert to this 80/20 rule in all sorts of situations in order to see the wood from the trees. Many leaders do this unknowingly, or some knowingly but rarely is it applied in a cold, deliberate way, however the Pareto Principle can be used to prioritise all sorts of things in all sorts of ways. Yes it's a rule of thumb but it actually fits reasonably well in many situations, and does force a level of perspective that can help get the job done.
Of course I'm not saying it is a good thing to be forced to prioritise like this, and certainly if you're one of the 80% of the stakeholders that is not consulted who then raises one of the 20% issues then I completely understand that you'd feel aggrieved, but that's not really what this is about. What I'm trying to say is that SLT sometimes set themselves up a little as infallible, and are often expected to perform that way by wider staff. However often what they are doing is their best given the situation they are in and the conflicting demands they have on their time. Often this means prioritising and that then leads to some people feeling overlooked.
For SLT the key thing is to acknowledge that we're doing this and to communicate more clearly with those involved. Be willing to acknowledge that at the bottom of all decisions is a human that has done their best, but may not have done it perfectly. For those outside of SLT looking in, perhaps consider if it was physically possible to do it better, or if the compromise you need to make is actually the right one for overall progress (are you one of the 80% or the 20%).
Yes SLT are paid more in order to make decisions, yes SLT have more time in the week in order to make decisions, but that doesn't change the laws of physics, and it certainly doesn't make anyone perfect or infallable. Time is finite for all of us. We all have constriants to manage, and differing perspectives.
I think the biggest thing I've learnt as a member of SLT is that I can't always take the time to be a perfectionist, but I can do the best I can given the time and resources I have available.
No, I'm wrong... the BIGGEST thing I've learnt is that once I've had to commit to something that I know might not be perfect I need to avoid beating myself up over it and constantly revisiting it. I've spent too long doing that at various points during the year and it's done me no favours. You don't needs to be perfect in order to get it right for the vast majority of the time; the important thing is to make sure that even if something isn't quite right it is still one of the least bad options!
This is just me rambling again - sharing the thoughts bouncing round my head - comments always welcome!
I like to think I'm fairly approachable and try to make sure that I spend time talking to colleagues at all levels of the organisation, and have great working relationships across the school. A great part of that, and the fact that I wasn't always SLT at this school, means that I think some are more open and honest with me than they might be with the other members of the leadership team. I know for a fact that that some will say things to me that they wouldn't dream of saying to others in our SLT. This gives an interesting insight at times...
No time for perfection
I think the biggest actual disconnect I've discovered as part of all of this is the perception from many staff in general that all actions from SLT are deliberate, and that SLT have complete control over everything that happens in the school. Now I'm not suggesting that we go around blundering into things and have no control over what goes on, but we are a team of humans and with that comes limitations. Similarly we work in a setting that has a massive number of stakeholders with a vast array of needs and agendas, and are subject to legistative, judgemental, procedural and time constraints that limit or shape things in all manner of ways.
Sometimes the size of a team means that not everyone can be consulted properly in advance. Sometimes the speed a decision needs to be made means that only the most central consequences can be considered (see comments about Pareto below). Sometimes an element of planning falls between areas of responsibility meaning it gets missed. Sometimes a task is simply not done quite as perfectly as it might have been because a human has done it or they ran out of time. All of these are issues to be guarded against, and even planned to be mitigated, but none would be done deliberately. However I know from that the consequences of what I know to be a small human error at SLT level can be seen as a direct decision to undermine or cause issues for other staff.
I've seen a situation where a given member of SLT has been working as hard as they could on something, but due to the realities of life in schools it ended being delivered to a wider audience slightly before it was completely finished. The reception from others in the school was frosty "it's a half baked Idea", "they've not considered the impact on...", "why couldn't they have told us that weeks ago?" and so on. The expectation from the school as a body is that the SLT have all the answers and have the time to plan everything out fully. The reality is that there is so much going on that there is too often no time to complete any task fully, sometimes it just has to be good enough to get the job done.
Pareto principle for leadership
If you've not heard of the Pareto principle it stems from the observations by Italian Economist Vilfredo Pareto that 20% of Italians own 80% of the land. This has been extended to business in various ways with assertions that 80% of profit comes from 20% of your clients, or 80% of sales come from 20% of the sales team. It is also used in health and safety where 80% of injuries come from the 20% most common incidents and so on.
In my experience it can be fairly safely applied that about 80% of the behaviour incidents in a school come from just 20% of the students (you know which ones!). Similarly about 80% of the high grades come from 20% of the students. 80% of absences come from about 20% of staff, I could go on...
Furthermore another aspect of Pareto in terms of leadership is that if you consider 20% of the stakeholders in a given decision then you'll probably expose 80% of the potential issues. Due to time pressures and general day to day management constraints it is common for leaders to have to revert to this 80/20 rule in all sorts of situations in order to see the wood from the trees. Many leaders do this unknowingly, or some knowingly but rarely is it applied in a cold, deliberate way, however the Pareto Principle can be used to prioritise all sorts of things in all sorts of ways. Yes it's a rule of thumb but it actually fits reasonably well in many situations, and does force a level of perspective that can help get the job done.
Of course I'm not saying it is a good thing to be forced to prioritise like this, and certainly if you're one of the 80% of the stakeholders that is not consulted who then raises one of the 20% issues then I completely understand that you'd feel aggrieved, but that's not really what this is about. What I'm trying to say is that SLT sometimes set themselves up a little as infallible, and are often expected to perform that way by wider staff. However often what they are doing is their best given the situation they are in and the conflicting demands they have on their time. Often this means prioritising and that then leads to some people feeling overlooked.
For SLT the key thing is to acknowledge that we're doing this and to communicate more clearly with those involved. Be willing to acknowledge that at the bottom of all decisions is a human that has done their best, but may not have done it perfectly. For those outside of SLT looking in, perhaps consider if it was physically possible to do it better, or if the compromise you need to make is actually the right one for overall progress (are you one of the 80% or the 20%).
I think the biggest thing I've learnt as a member of SLT is that I can't always take the time to be a perfectionist, but I can do the best I can given the time and resources I have available.
No, I'm wrong... the BIGGEST thing I've learnt is that once I've had to commit to something that I know might not be perfect I need to avoid beating myself up over it and constantly revisiting it. I've spent too long doing that at various points during the year and it's done me no favours. You don't needs to be perfect in order to get it right for the vast majority of the time; the important thing is to make sure that even if something isn't quite right it is still one of the least bad options!
This is just me rambling again - sharing the thoughts bouncing round my head - comments always welcome!
Saturday, 31 January 2015
RAG123 as defined by the students
Our head of maths has done a piece of work recently on RAG123 that I think I just have to share...
Firstly if you've never heard of RAG123 then look here for my original post on it, and then see here for all the others I've done...
Pupil voice
So far with RAG123 I've seen teacher definitions of what R,A,G mean, and what 1, 2, 3 mean, and we've occasionally had a go at doing a student oriented set of descriptors. However it surprises me to admit it but we've never previously asked the students to define it themselves!
With my stepping up to SLT this year I have had the pleasure of welcoming and line managing a new HoD to run the maths department. Simon Preston arrived at our school, inherited RAG123 from me and then he embraced it and used it for a while. Then he had a brainwave that is so obvious I don't know why nobody had thought of it before... He asked the students to define their understanding of all the RAG123 ratings...
Simon did this by issuing a sheet like the one below and asked the students to fill in the boxes with a description of what types of work or attitudes warranted each rating. Notably he didn't just ask them to define R, A, G and then 1, 2, 3, but he got them to define all 9 combinations of letters and numbers.
What did the students say?
I have been fascinated by the responses that the students gave. Having collated their inputs and drawn together the common themes Simon has compiled the following grid, which for me now seems to be the definitive RAG123 rating grid.
I think the nuance that the students have highlighted between R2 and R3 in the root cause for the low effort is really interesting. Also like the A1 "just enough". Overall I am really pleased by the clear linkage between effort and understanding. It all comes back to the basic position where students on 3 for understanding need clear input from the teacher to move them, and those on R for effort also need a decision from the student to improve.
Involving parents
Also this week we held a parent information evening for our yr 11 students where we were briefing them on revision techniques and ideas to improve home-school partnerships. This RAG123 grid was shared with parents and students in this session. We suggested that parents could work with students to RAG123 their revision processes at home in order to help figure out whether a session was effective or not. This was really well received and we have had several positive comments from parents about this giving them the tools to help review progress with revision, particularly in subjects that they have no expertise in.
Have you done something similar?
The idea of asking the students is so obvious I'm amazed I or someone else haven't already done it - does anyone else have a similar student perspective on RAG123? If you have I'd be really keen to see it.
Once again - if you've not tried RAG123 you don't know what you're missing in terms of building linkage between marking and planning, building dialogue with students and the promoting growth mindset type linkages between effort and progress. Give it a try and let me know how it goes!
Firstly if you've never heard of RAG123 then look here for my original post on it, and then see here for all the others I've done...
Pupil voice
So far with RAG123 I've seen teacher definitions of what R,A,G mean, and what 1, 2, 3 mean, and we've occasionally had a go at doing a student oriented set of descriptors. However it surprises me to admit it but we've never previously asked the students to define it themselves!
With my stepping up to SLT this year I have had the pleasure of welcoming and line managing a new HoD to run the maths department. Simon Preston arrived at our school, inherited RAG123 from me and then he embraced it and used it for a while. Then he had a brainwave that is so obvious I don't know why nobody had thought of it before... He asked the students to define their understanding of all the RAG123 ratings...
Simon did this by issuing a sheet like the one below and asked the students to fill in the boxes with a description of what types of work or attitudes warranted each rating. Notably he didn't just ask them to define R, A, G and then 1, 2, 3, but he got them to define all 9 combinations of letters and numbers.
What did the students say?
I have been fascinated by the responses that the students gave. Having collated their inputs and drawn together the common themes Simon has compiled the following grid, which for me now seems to be the definitive RAG123 rating grid.
I think the nuance that the students have highlighted between R2 and R3 in the root cause for the low effort is really interesting. Also like the A1 "just enough". Overall I am really pleased by the clear linkage between effort and understanding. It all comes back to the basic position where students on 3 for understanding need clear input from the teacher to move them, and those on R for effort also need a decision from the student to improve.
Involving parents
Also this week we held a parent information evening for our yr 11 students where we were briefing them on revision techniques and ideas to improve home-school partnerships. This RAG123 grid was shared with parents and students in this session. We suggested that parents could work with students to RAG123 their revision processes at home in order to help figure out whether a session was effective or not. This was really well received and we have had several positive comments from parents about this giving them the tools to help review progress with revision, particularly in subjects that they have no expertise in.
Have you done something similar?
The idea of asking the students is so obvious I'm amazed I or someone else haven't already done it - does anyone else have a similar student perspective on RAG123? If you have I'd be really keen to see it.
Once again - if you've not tried RAG123 you don't know what you're missing in terms of building linkage between marking and planning, building dialogue with students and the promoting growth mindset type linkages between effort and progress. Give it a try and let me know how it goes!
Labels:
Assessment,
Feedback,
Marking,
Process,
Pupil voice,
RAG123,
Revision,
Workload
Saturday, 3 January 2015
SOLO mats - a 1 page lesson
It's been ages since I did a blog post about a teaching resource, so here we go...
I was looking to build in SOLO (For more posts on SOLO see here), some independence and also some structure to a lesson that also included an amount of differentiation. I try wherever possible to aim my lessons at the most able in the group, with scaffolding back for lower ability so that the more able aren't always subject to differentiation by just being given more work to do.
I mucked about with various ideas and finally landed on this one page lesson structure to try. The basic idea is that it incorporates a starter, core learning points and extension all in one place. It is possible for the strongest students to progress through the whole sheet with relatively little teacher input with prompts for them to reflect on what they've noticed. Students are given an A3 print of the sheet to work on, but can choose to make other notes or even do all of the work in their books if they want to (and some asked for squared paper for plotting the graph in the extending knowledge section).
Clearly this is a VERY maths based example - but I see no reason why this basic approach couldn't be used for any subject/topic that is looking to build on and combine prior knowledge in new ways.
(I should note that this was done for a very high ability group of year 11 students, it assumes quite a lot of knowledge and is certainly not a "start from scratch" position for this topic)
Powerpoint version available here.
The assumption is that the students start broadly in the top left, progressing down the left hand side, and then the right hand side, finishing off with a RAG123 assessment and comment in the bottom right (for more posts on RAG123 see here). Some got stuck straight in with it and progressed from one box to another fairly independently, others needed more support in lesson (possibly delivered by me or sometimes I would direct them to another student to discuss it), and some needed prompting to move on to the next box or to make links beyond what was immediately in front of them.
At the end of the lesson I collected in the sheets to review and complete the RAG123 comments. In the next lesson I issued the next sheet as follows:
Powerpoint version here.
This second sheet builds on the info I knew they had picked up in the first lesson and then structures some extension.
Reflections on using it
I was really taken with this approach and the majority of the students seemed to find them useful. The more inquisitive students came up with interesting ideas to navigate through it and made links readily, often pooling ideas to find solutions.
The lessons were very much of the form "here's your sheet, off you go" - I did very little discussion at a whole class level, in fact for the second lesson the sheets were already out on the desks and the students just came in and got started as they knew what to do. During the lessons my interactions with students were focused on removing barriers to them making links and progressing with the sheets. Sometimes I would add a line to a diagram to help them spot the right angled triangle, sometimes re-phrase or express what they told me verbally into algebraic form, sometimes it would be asking a question to open the door to the next box on the sheet. For those making most progress independently I would occasionally draw them back to earlier boxes to explore reasoning for answers or particular approaches to make sure they had seen the more general patterns among their specific answers.
The lack of formal instruction in a particular method or rule did expose some weaknesses for students who are otherwise strong performers; for some it was simply their discomfort with working with algebraic variables, for others it's a reluctance or lack of practice linking up different mathematical topics.
The most negative responses tended to come from those students who are diligent in making notes when a method is explained explicitly but tend to then apply this as a procedure to follow rather than understanding the underlying concept. In particular I had a group of girls who will probably get A* grades at GCSE (indeed they have already done so in Mocks), who got stuck at every stage because it was presented in a way that didn't signpost a method to apply, and sometimes there was no single clear answer to give. As a result they were fairly difficult to motivate through the lessons, however I still think it was a worthwhile experience for them.
For maximum benefit across the class I did use a final plenary to draw together all of the central key points with a few more formal notes, and then we spent a lesson applying this knowledge to exam type questions to check security of the concepts in different ways.
Other difficulties come with storing the sheets afterwards - A3 is not a convenient size to tuck into a small exercise book, but that's not a reason to not use them - I'll certainly use this approach again.
The group I was working with are generally well motivated and would get on with much of this independently, and also had a large amount of prior knowledge to work with. To use this approach with a weaker group, or with a group prone to behaviour challenges would need some thought as the lack of structure opens the door to classroom management issues if too many get stuck. I do think it could be used with weaker or more challenging groups, but it would need some more thought.
I think this basic approach could be used with almost any topic, it just needs a bit of thought. You also need to know the class well in order to know what knowledge you can assume. there is also no reason why this approach couldn't be used beyond maths.
So there it is - plan and deliver your lesson on a single page...
All thoughts welcome as always.
I was looking to build in SOLO (For more posts on SOLO see here), some independence and also some structure to a lesson that also included an amount of differentiation. I try wherever possible to aim my lessons at the most able in the group, with scaffolding back for lower ability so that the more able aren't always subject to differentiation by just being given more work to do.
I mucked about with various ideas and finally landed on this one page lesson structure to try. The basic idea is that it incorporates a starter, core learning points and extension all in one place. It is possible for the strongest students to progress through the whole sheet with relatively little teacher input with prompts for them to reflect on what they've noticed. Students are given an A3 print of the sheet to work on, but can choose to make other notes or even do all of the work in their books if they want to (and some asked for squared paper for plotting the graph in the extending knowledge section).
Clearly this is a VERY maths based example - but I see no reason why this basic approach couldn't be used for any subject/topic that is looking to build on and combine prior knowledge in new ways.
(I should note that this was done for a very high ability group of year 11 students, it assumes quite a lot of knowledge and is certainly not a "start from scratch" position for this topic)
Powerpoint version available here.
The assumption is that the students start broadly in the top left, progressing down the left hand side, and then the right hand side, finishing off with a RAG123 assessment and comment in the bottom right (for more posts on RAG123 see here). Some got stuck straight in with it and progressed from one box to another fairly independently, others needed more support in lesson (possibly delivered by me or sometimes I would direct them to another student to discuss it), and some needed prompting to move on to the next box or to make links beyond what was immediately in front of them.
At the end of the lesson I collected in the sheets to review and complete the RAG123 comments. In the next lesson I issued the next sheet as follows:
Powerpoint version here.
This second sheet builds on the info I knew they had picked up in the first lesson and then structures some extension.
Reflections on using it
I was really taken with this approach and the majority of the students seemed to find them useful. The more inquisitive students came up with interesting ideas to navigate through it and made links readily, often pooling ideas to find solutions.
The lessons were very much of the form "here's your sheet, off you go" - I did very little discussion at a whole class level, in fact for the second lesson the sheets were already out on the desks and the students just came in and got started as they knew what to do. During the lessons my interactions with students were focused on removing barriers to them making links and progressing with the sheets. Sometimes I would add a line to a diagram to help them spot the right angled triangle, sometimes re-phrase or express what they told me verbally into algebraic form, sometimes it would be asking a question to open the door to the next box on the sheet. For those making most progress independently I would occasionally draw them back to earlier boxes to explore reasoning for answers or particular approaches to make sure they had seen the more general patterns among their specific answers.
The lack of formal instruction in a particular method or rule did expose some weaknesses for students who are otherwise strong performers; for some it was simply their discomfort with working with algebraic variables, for others it's a reluctance or lack of practice linking up different mathematical topics.
The most negative responses tended to come from those students who are diligent in making notes when a method is explained explicitly but tend to then apply this as a procedure to follow rather than understanding the underlying concept. In particular I had a group of girls who will probably get A* grades at GCSE (indeed they have already done so in Mocks), who got stuck at every stage because it was presented in a way that didn't signpost a method to apply, and sometimes there was no single clear answer to give. As a result they were fairly difficult to motivate through the lessons, however I still think it was a worthwhile experience for them.
For maximum benefit across the class I did use a final plenary to draw together all of the central key points with a few more formal notes, and then we spent a lesson applying this knowledge to exam type questions to check security of the concepts in different ways.
Other difficulties come with storing the sheets afterwards - A3 is not a convenient size to tuck into a small exercise book, but that's not a reason to not use them - I'll certainly use this approach again.
The group I was working with are generally well motivated and would get on with much of this independently, and also had a large amount of prior knowledge to work with. To use this approach with a weaker group, or with a group prone to behaviour challenges would need some thought as the lack of structure opens the door to classroom management issues if too many get stuck. I do think it could be used with weaker or more challenging groups, but it would need some more thought.
I think this basic approach could be used with almost any topic, it just needs a bit of thought. You also need to know the class well in order to know what knowledge you can assume. there is also no reason why this approach couldn't be used beyond maths.
So there it is - plan and deliver your lesson on a single page...
All thoughts welcome as always.
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