19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 1/18

Schemes of Work models: do they matter in maths?Linear versus modular? And what about spiral?Discuss!This chat discussed different shapes of schemes of work such as spiral, Maths Mastery and twin track, what

makes a good scheme of work and pointers to resources . The chronological account of the chat is below,

with some of the ideas highlighted

by ncetm 4 years ago

Spiral Schemes of Work

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat is go: does the shape of a maths SOW matter? Linear, modular, spiral orother...which leads to more secure learning?

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

For me the spiral nature of old NNS just doesn't work. It's too repetitive and doesn't secureunderstanding #mathscpdchat

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat I am your host for this evening. Don't forget to use the hashtag in your tweets!Discussion will be posted tomorrow @NCETM

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@AndrewHassack #mathscpdchat I think because we teach class loads of pupils it is a method ofhelping everyone move forward in the sea!

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 2/18

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat for a brief summary of a spiral curriculum see ncetm.org.uk/mathemapedia/s…- so many buzzwords can be confusing!

A Kerr@annamkerr

4 YEARS AGO

@MathsladyScott @AndrewHassack #mathscpdchat spiral also gives students confidence beforeextending their knowledge/understanding/skills

Alan Patel@EduPate1

4 YEARS AGO

@MathsladyScott @AndrewHassack #mathscpdchat does it help all ss move forward though? Ihave Y10s&11s who still struggle with some basics

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

In my day(!) I remember spending a lot of time doing lots and lots of questions on topics. Lot tobe said for that approach #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@annamkerr @AndrewHassack #mathscpdchat - Yes, it also has this benefit - but does bringextra considerations re challenging the more able!

Mary Pardoe@PardoeMary

4 YEARS AGO

#mathscpdchat spiral curriculum - same topic many times slightly different v step-by-stepmastery - each step mastered before going on

A Kerr@annamkerr

4 YEARS AGO

#mathscpdchat any schools use a non-spiral approach?

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 3/18

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@EduPate1 @MathsladyScott I found the spiral nature lacking in depth, too quick to move onbefore knowledge is secure #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 @AndrewHassack #mathscpdchat I think it means we have to really pay attention todifferentiation in a serious way.

A Kerr@annamkerr

4 YEARS AGO

@MathsladyScott @EduPate1 @AndrewHassack #mathscpdchat very true.

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

@AndrewHassack #mathscpdchat It helps me to think of the curriculum in 2 parts - maths skillsand wider skills (PLTs, application etc.)

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@AndrewHassack @EduPate1 #mathscpdchat I agree Andy, it is important not to move on tooquickly before pupils have learnt something.

Alan Patel@EduPate1

4 YEARS AGO

@AndrewHassack @MathsladyScott agree - pace of curriculum seems too high to allow a properfeedback cycle to aid progression #mathscpdchat

A Kerr@annamkerr

4 YEARS AGO

#mathscpdchat Doesn't the interconnecting nature of mathematics lend itself to a spiralapproach? v hard to compartmentalise

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 4/18

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@AuthenticMaths @AndrewHassack #mathscpdchat This makes differentiation of these widerskills along with maths skills even more ineteresting

Alan Patel@EduPate1

4 YEARS AGO

@MathsladyScott @AndrewHassack #mathscpdchat some teachers feel pressure to keep upwith new topic every two weeks, so move on before secure

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@MathsladyScott @EduPate1 Maybe my interpre' of NNS, found it lacked opp for consolidation,always trying to fit key objs in #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 @AndrewHassack #mathscpdchat The feedback cycle to aid progression is a key tosecuring understanding for all pupils in the group

A Kerr@annamkerr

4 YEARS AGO

just rewritten a SOL for y7 and grouped topics 2gether sensibly so that 1/2 a term is spentprogressing thru connected topics #mathscpdchat

A Kerr@annamkerr

4 YEARS AGO

@EduPate1 @MathsladyScott @AndrewHassack #mathscpdchat this is a very big problem

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@AndrewHassack @EduPate1 #mathscpdchat - I sort of do the NNS - but kept on until pupilsunderstood and also put in extra for consolidation

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 5/18

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@RJS2212 @MathsladyScott @EduPate1 Love handsets, don't use them enough though#mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@annamkerr #mathscpdchat I think this sounds to be a good idea.

drowley@mathsdude

4 YEARS AGO

#mathscpdchat our scheme is based around application units alongside spiral curriculum. codebreaking, coding, timetabling, game theory

Mary Pardoe@PardoeMary

4 YEARS AGO

#mathscpdchat learners don’t MASTER ideas on first exposure

EmathsUKMark McCourt@EmathsUK

@FinlayCam · 4 YEARS AGO

#mathscpdchat A long term plan for progression is important, but schemes often come acropper when teachers use them as diktat...

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@annamkerr Agree in principle, think the spiral needs to be wider and slower if that makessense #mathscpdchat

EmathsUKMark McCourt@EmathsUK

@FinlayCam · 4 YEARS AGO

#mathscpdchat ... Instead of trusting their own professional judgement re when to move on

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 6/18

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@mathsdude #mathscpdchat This sounds to be a good idea, revisiting in different contexts toprovide different challenges for all

A Kerr@annamkerr

4 YEARS AGO

@AndrewHassack #mathscpdchat definitely makes sense! That's my view at the moment.

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EmathsUK #mathscpdchat - Yes - teachers need to use their professional judgement aboutlearning and what is needed next.

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

#mathscpdchat more on the thinking behind the twin track curriculum here:…thseducationandallthat.blogspot.co.uk/2011_06_01_arc…

A Kerr@annamkerr

4 YEARS AGO

@MathsladyScott @mathsdude #mathscpdchat sounds a great idea, emphasises the holisticnature of maths

drowley@mathsdude

4 YEARS AGO

#mathscpdchat we need to ensure it engages and enthuses mathematics

EmathsUKMark McCourt@EmathsUK

@YuviLite · 4 YEARS AGO

#mathscpdchat A SoW should be detailed enough to give a coherent long term journey throughmaths, but loose enough to allow teacher freedom

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 7/18

Educated Maths@educatedmaths

4 YEARS AGO

Only one way of making 96 by multiplying any prime numbers. How is it done? #ukedchat#edchat #mathscpdchat #mathschat #primefactorisation

Mary Pardoe@PardoeMary

4 YEARS AGO

@annamkerr #mathscpdchat yes - previously met ideas are naturally revisited when focus onnew idea

A Kerr@annamkerr

4 YEARS AGO

@mathsdude #mathscpdchat definitely! relevance to real life and an element of the wonder ofmaths!

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EmathsUK #mathscpdchat and also give opportunities for pupils to learn something entirelynew and surprising to generate further interest.

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat OK, how about an alternative to spiral? Interest in mastery approach seems tobe picking up interest mathematicsmastery.org

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

#mathscpdchat twin track curriculum allows lots of time for exploration and fun stuff.Targetted/difficult questions used to teach skills.

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 8/18

EmathsUKMark McCourt@EmathsUK

@FinlayCam · 4 YEARS AGO

#mathscpdchat too many maths schemes do not allow for sufficient, prolonged deliberatepractice. Kids *do* far less maths now than ever!

Mastery

ALAN PATEL @EDUPATE1 @ListerKev · · 4 YEARS AGO

“@MrReddyMaths: How the @MathsMastery curriculum looks in year 7

mathematicsmastery.org/secondary/a-sh… pic.twitter.com/iNkYzC6CMx” #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 #mathscpdchat I see mastery as part of the spiral?

Dan U@DJUdall

4 YEARS AGO

#mathscpdchat My dept experimented with a hybrid with our Y7's. A 2-week project with 4different teachers on a different area of maths.

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 9/18

drowley@mathsdude

4 YEARS AGO

#mathscpdchat seen maths mastery before. we got our ideas from shanghai and new zealand

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@EduPate1 Concept of 'securing' understanding v appealing but I'm a little old fashioned, giveem loads of practice #mathscpdchat

Alan Patel@EduPate1

4 YEARS AGO

@DJUdall #mathscpdchat what was the focus and outcomes?

Jan Pringle@greyengine

4 YEARS AGO

@EmathsUK definitely much less deliberate practice. Many scared that Ofsted won't like it!#mathscpdchat

drowley@mathsdude

4 YEARS AGO

#mathscpdchat i like practice but sometimes too much is given as teachers teach to the test andcriteria. where is the love of maths going?

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@DJUdall How did that go? #mathscpdchat

Mary Pardoe@PardoeMary

@ListerKev · 4 YEARS AGO

@EduPate1 #mathscpdchat more on 'Mastery' teaching/learning' on these slidesslideshare.net/techcreation/m…

Deliberate Practice

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 10/18

Jan Pringle@greyengine

4 YEARS AGO

@AndrewHassack @EduPate1 Suspect more practice will come back into vogue soon#mathscpdchat

EmathsUKMark McCourt@EmathsUK

4 YEARS AGO

@greyengine #mathscpdchat OFSTED are not opposed to deliberate practice

Alan Patel@EduPate1

4 YEARS AGO

@MathsladyScott #mathscpdchat can see wat u mean that spiral & mastery aren't mutuallyexclusive, some would argue quite different I think

Jan Pringle@greyengine

@EmathsUK · 4 YEARS AGO

@EmathsUK No, but I think that is many teachers' perception #mathscpdchat

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@mathsdude It gets replaced by hammering through SoW and constantly testing ;-) Teachersshould instill love & enthusiasm #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@PardoeMary @EduPate1 #mathscpdchat Thank you for that. I think this is the challenge ofdifferentiation in the classroom

Jan Pringle@greyengine

4 YEARS AGO

@mathsdude agree that teaching to the test can be a big issue. Balance needed - some sustainedpractice, some more open-ended #mathscpdchat

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 11/18

drowley@mathsdude

4 YEARS AGO

#mathscpdchat how often to people test their ks3 students?

Dan U@DJUdall

4 YEARS AGO

@EduPate1 #mathscpdchat. Student engagement improved, my project was designing a dreamhouse using 3D representations

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 #mathscpdchat I think it is about everyone's ideas being useful somewhere - we areall building our own curriculums as we teach.

Mary Pardoe@PardoeMary

4 YEARS AGO

@EduPate1 @MathsladyScott #mathscpdchat yes, stuff on Internet re 'Mastery' is quite spiral!

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@greyengine @EmathsUK Deliberate practice championed by Matthew Syed and Carole Dweck,it will no doubt filter it's way in #mathscpdchat

Dan U@DJUdall

4 YEARS AGO

@EduPate1 #mathscpdchat. Others were code-breaking, average student and organising money(good link to aspirations)

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@greyengine @mathsdude #mathscpdchat We need to prepare pupils for exams and also helpthem to see mathematics as mathematicians

Resources

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 12/18

drowley@mathsdude

4 YEARS AGO

#mathscpdchat nzmaths have some amazing resources to use and a great curriculum linkingthem in

Alan Patel@EduPate1

4 YEARS AGO

@greyengine @mathsdude #mathscpdchat for open ended see @inquirymaths website - somegood ideas if you have the time in your SOW...

Mary Pardoe@PardoeMary

4 YEARS AGO

#mathscpdchat more stuff on 'Mastery' learning here education.com/reference/arti…

Jan Pringle@greyengine

4 YEARS AGO

@EduPate1 @EmathsUK @Ofstednews I've heard similar reports and also SLTs discouragingthis 'because Ofsted don't like it' #mathscpdchat

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

I'm going to champion a Cadburys Caramel SoW, take it easy, relax and enjoy yourself#deliberatepractice #mathscpdchat

Jan Pringle@greyengine

4 YEARS AGO

@EduPate1 @mathsdude @inquirymaths Yes, I do like @inquirymaths #mathscpdchat

drowley@mathsdude

4 YEARS AGO

#mathscpdchat ofsted liked us when they came last year

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 13/18

Jan Pringle@greyengine

4 YEARS AGO

@AuthenticMaths @MathsladyScott @mathsdude will investigate twin track - not familiar#mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@greyengine @EduPate1 @EmathsUK @Ofstednews #mathscpdchat once the exam results areok then it is easier to begin more experimentation.

slbishop73Sarah Bishop@slbishop73

4 YEARS AGO

Needs flexibility to allow effective assessment for learning to ensure children make progress#mathscpdchat

Learning Maths@LearningMaths

4 YEARS AGO

@PardoeMary #mathscpdchat 'Mastery' is hard! I think I'm just getting to grips withunderstanding multiplication!

drowley@mathsdude

4 YEARS AGO

#mathscpdchat levels going should enable more effective assessments

Mary Pardoe@PardoeMary

4 YEARS AGO

Is mastery versus spiral a false dichotomy? #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@LearningMaths @PardoeMary #mathscpdchat yes I agree Mary, I am learning every day,about both the maths and teaching the maths.

Helping memory

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 14/18

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat another Q: are SOW developed with the aim of helping ss remember things?

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@PardoeMary #mathscpdchat I think so, I see maths more as an interconnected 3d matrix.

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@MathsladyScott @LearningMaths @PardoeMary Agree, 12 years in and my views/opinionschange as I learn about teaching. #mathscpdchat

drowley@mathsdude

4 YEARS AGO

#mathscpdchat Q: are SOW a living breathing organism that keeps up with technology and ideasor dictated by exam regulations?

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 #mathscpdchat and helping secure memory is another of those learning skills thatwe are teaching?

Alan Patel@EduPate1

4 YEARS AGO

@PardoeMary #mathscpdchat seen spiral SOW that have 22 topics in a year, not ordered well.Only mastery SOW seen has 10 'big ideas'

Mary Pardoe@PardoeMary

4 YEARS AGO

@MathsladyScott #mathscpdchat I agree - trouble is some 'Mastery' info/direction (on Internet)is unhelpful?

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 15/18

AndrewHassackAndy Hassack@AndrewHassack

4 YEARS AGO

@EduPate1 @PardoeMary 22 topics in a year - strap yourself in! Epitomises what is wrong withmany SoW. #mathscpdchat

Alan Patel@EduPate1

4 YEARS AGO

@MathsladyScott @PardoeMary now that's a good shape for a SOW, I'd like to see that onpaper! #mathscpdchat

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

#mathscpdchat web-based interactive teaching/assessment can help take the strain of skillsbased strand in twin-track approach.

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 @PardoeMary #mathscpdchat lol - it's sort of in my head - I wish I could put it onpaper one day - maybe?

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

@DJUdall #mathscpdchat How did it go?

Em@El_Timbre

4 YEARS AGO

@EduPate1 @MathsladyScott @PardoeMary Want to throw in a nice Doctor Who referencehere, but I'll resist!, #mathscpdchat

Dan U@DJUdall

4 YEARS AGO

@AuthenticMaths #mathscpdchat I completely agree but can't get the resources to put intopractice. Wish there was another way

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 16/18

Amanda@MakeMathsMatter

4 YEARS AGO

@mathsdude we have had this since the sats went! Levels are a set do guidance descriptors notassessments in themselves. #mathscpdchat

Mary Pardoe@PardoeMary

4 YEARS AGO

@mathsdude #mathscpdchat Agree - any SOW best regarded as always evolving

Dan U@DJUdall

4 YEARS AGO

@AuthenticMaths #mathscpdchat Good, really want to keep it going. Now Simon Beck's snowart to learn constructions with transformations

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@EduPate1 @PardoeMary #mathscpdchat - sorry mistyped - I do get my students to make mindmaps of the maths in their heads - interesting!

What is essential in a Scheme of work?

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat one final Q from me: what do people think is essential in a SOW?

Mary Pardoe@PardoeMary

4 YEARS AGO

@MathsladyScott @EduPate1 #mathscpdchat VERY interesting! How do their mind mapscompare with a SOW?

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 17/18

MathsladyScottHeather Scott@MathsladyScott

4 YEARS AGO

@PardoeMary @EduPate1 #mathscpdchat they are very different. Usually highlightmisconceptions and thorough understanding in equal measure

Dan U@DJUdall

4 YEARS AGO

@NSLHub #mathscpdchat whatever I can get away with.

Mary Pardoe@PardoeMary

4 YEARS AGO

@EduPate1 #mathscpdchat that it is constantly evolving

AuthenticMathsRebecca Hanson@AuthenticMaths

4 YEARS AGO

@EduPate1 #mathscpdchat activities which will ensure they're prepared for their assessments.

Jan Pringle@greyengine

4 YEARS AGO

@EduPate1 Have to go but thank you for hosting tonight #mathscpdchat

Alan Patel@EduPate1

4 YEARS AGO

@danicquinn @MathsladyScott #mathscpdchat what I'm thinking - ss nail a a topic in a fewlessons but then forget it two months later...1/2

Dan U@DJUdall

4 YEARS AGO

@AuthenticMaths @EduPate1 #mathscpdchat effective assessment methods, matched to thetopic

19/04/2018 Schemes of Work models: do they matter in maths? Linear versus modular? And what about spiral? Discuss!

https://storify.com/ncetm/schemes-of-work-models-do-they-matter-in-maths-lin.html 18/18

Alan Patel@EduPate1

4 YEARS AGO

@danicquinn @MathsladyScott #mathscpdchat what can we do in the meantime that is not tootime consuming to help them remember? #mathscpdchat

Alan Patel@EduPate1

4 YEARS AGO

#mathscpdchat it is (past) 8pm. Thanks to all who have contributed, full discussion will beposted tomorrow on @NCETM website

School_LNStretch potential@School_LN

4 YEARS AGO

@EduPate1 @danicquinn @MathsladyScott once a skill has be acquired, get students to createquestions which can then be reused #mathscpdchat