19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 1/39

Problem-solving: what are 'good' problems? Wherecan you find them?This weeks chat discussed different types of problems and gave examples and pointers to resources. The

chronological account of the chat is below.

by ncetm 3 years ago

JO MORGAN @MATHSJEM · 3 YEARS AGO

Good evening and welcome to #mathscpdchat. We're talking problem solving - I'd love to see your

favourite problems. pic.twitter.com/lmBOfbQl5h

Reflective Thinking@Refthinking

3 YEARS AGO

Blog post: Using storytelling and problems to solve, to teach maths bit.ly/BPmaths#mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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MR MATTOCK @MRMATTOCK · 3 YEARS AGO

I always remember being given this problem at my Reading University interview (I got there in the

end!) #mathscpdchat pic.twitter.com/qJwYcEVqSr

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I pulled together this set of Pythagoras problems for after students have mastered Pythagorasskills. app.box.com/s/petpevbtxfsh… #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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UDALL @DJUDALL · 3 YEARS AGO

Hello #mathscpdchat I love Johnny Griffiths' RiSPs and came up with this along the same lines.

pic.twitter.com/nFOT8kExql

mathsjemJo Morgan@mathsjem

3 YEARS AGO

How do your students respond to maths problems? What kinds of problems are most valuablefor their learning? #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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EVIDENCE INFORMED @EVIDENCE_INFORM · 3 YEARS AGO

One of my fave problems. It's a STEP question but can be adapted for Y10/11. #mathscpdchat

pic.twitter.com/d8ASw0IneG

Bryony McKie@B_Mckie

3 YEARS AGO

I love @Maths_Master 's trigonometry pile up. Simple concept but an engaging little problem topractice trig & Pythagoras #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@DJUdall Lovely problem! #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mathsjem #mathscpdchat Nice problems - thank you!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MrMattock I once had job interview like that - including the famous barometer questionen.wikipedia.org/wiki/Barometer… #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

A good problem is one that can be accessed by all but can offer scope for extension. This one isgreat: nrich.maths.org/768 #mathscpdchat

Evidence Informed@evidence_inform

3 YEARS AGO

@MrMattock @mathsjem #mathscpdchat I've got a similar question somewhere. Mindblowingly tricky. Perfectly confusing.

DAWN GERMAN @GERMANPROF · 3 YEARS AGO

“@evidence_inform: It's a STEP question but can be adapted for Y10/11. #mathscpdchat

pic.twitter.com/fWtXzC2ljq” @PennyAWilcox

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

I've put together 30 of my favourite problems. The key is the questions you ask. I love Leap Frog:-) mrbartonmaths.com/richtasks.htm #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@B_Mckie @Maths_Master I agree, great practice for fluency but also engaging and takes somethinking #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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Reflective Thinking@Refthinking

3 YEARS AGO

"Who Killed King Ted?" in free sample app bit.ly/KS2mysteries is a good example! They mustwork out who, by using maths! #mathscpdchat

Mary Pardoe@PardoeMary

3 YEARS AGO

@mathsjem #mathscpdchat Probs look nice! If they have already 'mastered Pythag skills' whatare they now learning by tackling these probs?

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MissBaileyMaths Agree - low floor, high ceiling #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@PardoeMary Applying their skills - the challenge is in figuring out how to solve the problemrather than using the formula #mathscpdchat

MR MATTOCK @MRMATTOCK · 3 YEARS AGO

This was one I was asked in an Oxford University interview #mathscpdchat

pic.twitter.com/X6mlR1ZXf5

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SOPHIE HAZEL @HAZELSOPHIEPOP · 3 YEARS AGO

This is my favourite, it's the only maths problem I remember from school. It started my love of

maths. #mathscpdchat pic.twitter.com/UVUUDrvnIR

mathsjemJo Morgan@mathsjem

3 YEARS AGO

#mathscpdchat twitter.com/MrDuffyMaths/s…

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@DJUdall I really like that! :-) I tried something similar with Linear Equations heretes.co.uk/teaching-resou… #mathscpdchat

Udall@DJUdall

3 YEARS AGO

#mathscpdchat I really like this from @Five_Triangles. Lots of possibilities.fivetriangles.blogspot.co.uk/2013/10/108-ri…

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@MissBaileyMaths #mathscpdchat - Yes I like that puzzle to - published in my book "HowPuzzling" in 1991 on page 37!

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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geoffwake1Geoff Wake@geoffwake1

3 YEARS AGO

#mathscpdchat If you don't know about the MAP lessons and tasks developed by colleagues atNottingham look at map.mathshell.org/tasks.php

MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

@B_Mckie absolutely. Great way to get students evaluating and discussing the value in eachother's other methods. #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@geoffwake1 I agree, I love all the MAP stuff #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@mrbartonmaths #mathscpdchat Wow, like this

cannell_aAdrian Cannell@cannell_a

3 YEARS AGO

#mathscpdchat Lots to expore @nrichmaths nrich.org.uk There are links to grids on theteachers pages to match activities & topics

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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JO MORGAN @MATHSJEM · 3 YEARS AGO

@DJUdall I like lots of problems from @Five_Triangles. Great website. #mathscpdchat.

pic.twitter.com/PR4noFilOF

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@mathsjem Keep meaning to join in one of these! My wife always stops me, but she is outtonight :-) #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Why are some problems better than others? #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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HEATHER SCOTT @MATHSLADYSCOTT · 3 YEARS AGO

#mathscpdchat - just back from Primary Maths Challenge Competition. Pupils loved puzzling how

to make a Sonobe Cube! pic.twitter.com/MS5VoY8OgL

mathsjemJo Morgan@mathsjem

3 YEARS AGO

How can I get my student to persevere when they want to give up straight away? #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@mathsjem #mathscpdchat I always find they can be off-putting if too wordy. Get straight to thethinking.

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@geoffwake1 I would second that. Some absolutely outstanding resources from the Notts team#mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mathsjem #mathscpdchat The crucial point is match between the puzzle and the pupils tryingto solve it - they've got to fit well together!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I don't think I'm a particularly resilient problem-solver myself. It's not often I'll spend a reallylong time on a problem. #mathscpdchat

Mathematics @ LSST@PrioryLSSTmaths

3 YEARS AGO

#mathscpdchat How old am I? from @nrichmaths nrich.maths.org/631 - love how it generalisesusing squares and triangular numbers.

Mary Pardoe@PardoeMary

3 YEARS AGO

@MissBaileyMaths @B_Mckie #mathscpdchat Yes. 'Here is a problem that can be approachedin whole variety of ways' is an important message.

Bryony McKie@B_Mckie

3 YEARS AGO

@mathsjem idown the the ability to draw in every student & allow all to feel relative success.keyis the journey not the soln #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I have done a few of @solvemymaths problems though. Very enjoyable. Made my brain hurt, butoh so satisfying. #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

I adapted this Function Machines problem from the ICCAMS resources produced by KingsCollege tes.co.uk/teaching-resou… #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@mathsjem #mathscpdchat It's important to know how to begin. Really work on ways to start aproblem. I usually end up drawing a table

REFLECTIVE THINKING @REFTHINKING · 3 YEARS AGO

#mathscpdchat Another problem-solving maths app: bit.ly/DMTrev - usually £1.49, it's currently

free. pic.twitter.com/DmQl5q8PLj

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

As I say, the problem/puzzle is one thing, but I feel the key is the questions & lines of inquirythat follow #mathscpdchat

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Mr K Gibson Maths@MrKGibsonMaths

3 YEARS AGO

@mathsjem I enjoy this one. Stimulates good conversation between pupils and encourageslinking topics nrich.maths.org/8017 #mathscpdchat

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@MrMattock #mathscpdchat from the last post

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

It is these that allow for effective differentiation, promote creativity, and lead to the highestlevels of engagement #mathscpdchat

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@mathsjem #mathscpdchat I think an entry point that's accessible for all is key! Then it's downto the teachers asking the right questions.

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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JO MORGAN @MATHSJEM · 3 YEARS AGO

@MathsladyScott Yes. I gave this simple puzzle to my Year 8s recently - some hated it, some loved it.

#mathscpdchat pic.twitter.com/H8vSCYRG6f

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@siobhanorb Yes, I find it very difficult not to give too many clues. I need to hold back onoffering tips. #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

You also cannot beat the UKMT past paper questions for puzzles & problems. Ideal for any agegroup ukmt-resources.org.uk/index-tr.html #mathscpdchat

MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

@mathsjem I've introduced 'spy time'. A chance for students to spy on (and question) otherstudents who aren't 'stuck' #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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JO MORGAN @MATHSJEM · 3 YEARS AGO

@DJUdall Yes, good point - there's lots of resources available giving students ideas on where to start

#mathscpdchat pic.twitter.com/YcnBcDvQcW

HEATHER SCOTT @MATHSLADYSCOTT · 3 YEARS AGO

#mathscpdchat Another problem the pupils loved doing was the Button Mania game on Transum:

transum.org/software/Fun_M… pic.twitter.com/Xs2Fablbc9

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@mathsjem Same, especially for students who have not been exposed to much problem solvingbefore. #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@MrMattock Absolutely. And that's why I spend most of my time thinking up prompts,questions & lines of inquiry #mathscpdchat

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@mathsjem @MathsladyScott This is in the starters booklet I have used that problem as welldropbox.com/s/pzr4zm57y0vp… #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Me too - a problem with lessons is we're putting a time constraint on problem solving#mathscpdchat twitter.com/MrPigottMaths/…

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@MrMattock and it is much more fun than writing PowerPoints & worksheets, and a milliontimes more beneficial to the students #mathscpdchat

MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

@siobhanorb @mathsjem definitely. We do the problem beforehand and write up hints,extensions etc and place them in envelopes #mathscpdchat

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mathsjemJo Morgan@mathsjem

3 YEARS AGO

@DJUdall I agree, I'm hugely in favour of non-wordy questions. Most of my favourite problemsare geometric #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mathsjem #mathscpdchat Will give that a try tomorrow! Thank you!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MsSewardMath Yes, agree with that #mathscpdchat

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

Seems like Jo has covered most of tonight's discussion in advance! #mathscpdchattwitter.com/mathsjem/statu…

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mathsjem @siobhanorb #mathscpdchat I have a rule in my classroom. If you don't find theanswer yourself no-one will give it to you!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@siobhanorb I really want people to tweet me extension questions and problems they use inclass! #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MissBaileyMaths @siobhanorb That's a lovely idea #mathscpdchat

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mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

I'm also obsessed with remixing old coursework tasks. Diagonals of Rectangles is 1 of my faves!tes.co.uk/teaching-resou… #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mathsjem @siobhanorb #mathscpdchat Also people who have 'solved the problem'successfully can share strategies about how they got there!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MissBaileyMaths Great idea #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@MathsladyScott @mathsjem @siobhanorb #mathscpdchat I just go quiet when asked for help,like I'm thinking about it myself. Seems to work

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@mrbartonmaths I agree, they are excellent. I don't use them often enough. #mathscpdchat

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@DJUdall @MathsladyScott @mathsjem Good tactic! #mathscpdchat

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TUDORAN SIMONA @TUDORAN_SIMONA · 3 YEARS AGO

#mathscpdchat Maths Battle problems are also great! Students get so enthusiastic about the

algorithm!! pic.twitter.com/8bPdIYJqcw

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

Great strategy - modelling good problem-solving skills! :-) #mathscpdchattwitter.com/DJUdall/status…

mathsjemJo Morgan@mathsjem

3 YEARS AGO

#mathscpdchat twitter.com/AfarBell/statu…

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@MrPigottMaths Sometimes I set a challenging problem as optional homework and the reallykeen ones like to have a go #mathscpdchat

Barbara Clark@ClarkBlclark

3 YEARS AGO

Best extension materials I use is the question why? And justify that #mathscpdchat

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tudoran_simonaTudoran Simona@tudoran_simona

3 YEARS AGO

Some amazing problems here too math.toronto.edu/oz/turgor/arch… #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

#mathscpdchat twitter.com/RufusWilliam/s…

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@mrbartonmaths 'Diagonals of rectangles - MrBarton Remix'. Is it downloadable as a ringtone? #mathscpdchat

Barbara Clark@ClarkBlclark

3 YEARS AGO

Try writing a question and mark scheme for a specific answer #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@mathsjem just started this year using the Junior ones regularly with my middle-set Year 11s todevelop problem solving. #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@mrbartonmaths #mathscpdchat Yes, this is great. I like the one with the fencing, trying tomake the greatest area for a sheep pen.

tudoran_simonaTudoran Simona@tudoran_simona

3 YEARS AGO

And those: cut-the-knot.org #mathscpdchat

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mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@mathsjem they are ideal as the Year 11s don't know they are from the Junior Paper. I try to usethem at least once per week #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Students should watch their maths teachers sitting together trying to solve a tricky problem! Tosee them sturggle too. #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@mrbartonmaths Sounds like a good idea. They are the right level of challenge. #mathscpdchat

tudoran_simonaTudoran Simona@tudoran_simona

3 YEARS AGO

I love the handshake problem. Then going into nth term for sum of triangular numbers#mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@siobhanorb that could be my next business venture! Might make more money than myDiagnostic Questions! :-) #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@MathsladyScott #mathscpdchat Oh yes, maybe. I always guessed I was boring them into tryingsomething

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@DJUdall Yes, another classic. Must remember to give that a remix as well! #mathscpdchat

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MARY PARDOE @PARDOEMARY · 3 YEARS AGO

#mathscpdchat Problems in which learners have to decide what maths to use are good ... eg this

that I tweeted before pic.twitter.com/fED9vxUTDQ

dwatson802Damian Watson@dwatson802

3 YEARS AGO

@DJUdall where are these from? I like them #mathscpdchat

Reflective Thinking@Refthinking

3 YEARS AGO

Pairs must read slips of info, organise then arrange them to solve the problem. Search 'DigitalMysteries Maths' on App Store #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

All of our Year 9s are playing NIM this week. So much rich, deep maths via the probingquestions tes.co.uk/teaching-resou… #mathscpdchat

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@DJUdall @mrbartonmaths The good old fencing problem. I'm a fan too. #mathscpdchat

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MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@siobhanorb @mrbartonmaths #mathscpdchat - gave that to year 9 this afternoon as one of twochoices, Diagonals or Pic's Theorem!

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Loads of great GCSE and A level problems here from @furthermathsfurthermaths.org.uk/prob_solv_mate… #mathscpdchat

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@siobhanorb @DJUdall @mrbartonmaths I am using both the squares in rectangular grid,hidden faces and triangles inv this week #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Favourite problem posters! furthermaths.org.uk/manager_area/i… #mathscpdchat

dwatson802Damian Watson@dwatson802

3 YEARS AGO

My favourite has to be "The Painted Cube" #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@dwatson802 #mathscpdchat I made them up but I'm sure the idea was from somewhere. I cannever find things when I need them

cannell_aAdrian Cannell@cannell_a

3 YEARS AGO

#mathscpdchat My Y6 have enjoyed some of the Whodunnit problems atnumberloving.co.uk/resources.php @numberloving

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MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@mrbartonmaths #mathscpdchat I love these types of games where the whole year group canplay and it's not easy to predict who will win?

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@tudoran_simona You've intrigued me with "Got it"! What is that? :-) #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I need to have a look at the problems here: educationscotland.gov.uk/resources/nq/m… Helpfulto sort problems by topic #mathscpdchat

MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

@tudoran_simona brilliant problem. Another similar, but linear, sequence problem here:nrich.maths.org/2291 can be modelled. #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@MathsladyScott @siobhanorb I would literally be spoilt for choice! Yes, I must give good oldPic's a remix as well! :-) #mathscpdchat

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@dwatson802 Provided they can get the full algebra from it #mathscpdchat

Udall@DJUdall

3 YEARS AGO

@siobhanorb @mrbartonmaths #mathscpdchat It's the reason I became a maths teacher

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siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@DJUdall @MathsladyScott Agree, I even include staged thinking aloud to model thoughtprocess & approaches with reluctant s's. #mathscpdchat

JO MORGAN @MATHSJEM · 3 YEARS AGO

Don Steward's website has a good mix of rich tasks and practice questions

donsteward.blogspot.co.uk #mathscpdchat pic.twitter.com/jWaMUqTobG

MrMattockMr Mattock@MrMattock

3 YEARS AGO

dropbox.com/s/y2y8gdcdwv4t… another PowerPoint of starters, some the same as the booklet,some different #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@MathsladyScott yes, so important that everyone can do the same task. You can thendifferentiate via the questions & prompts. #mathscpdchat

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Mary Pardoe@PardoeMary

3 YEARS AGO

@MathsladyScott @mrbartonmaths #mathscpdchat I love games too ... but are gamesproblems? How are games related to problems?

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@tudoran_simona Thank you :-) #mathscpdchat

dwatson802Damian Watson@dwatson802

3 YEARS AGO

@MrMattock tbh I am happy enough with some being able to verbalise there reasoning,usingthe correct vocabulary. Algebra bonus #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I put lots of links to problem solving resources and websites in my posts. Any favourites?#mathscpdchat resourceaholic.com/2015/06/proble…

Udall@DJUdall

3 YEARS AGO

@mrbartonmaths @tudoran_simona #mathscpdchat Got it! is brilliant. It was on DaraO'Brien's programme with chocolates and a chilli, I think

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

@PardoeMary @MathsladyScott The key to NIM is multiples. But regardless, the strategy &communication alone justify it for me #mathscpdchat

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@dwatson802 Fair point, can they justify in words why it goes up the way it does; I preferhidden cubes for that lower down. #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 27/39

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@PardoeMary @mrbartonmaths #mathscpdchat The problem is how to win & then writealgorithm for winning-Nim is such a game -no luck all skill!

dwatson802Damian Watson@dwatson802

3 YEARS AGO

@mathsjem I like 9 problem solving methods poster at the bottom of the post . #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@Mrrismithmaths I want to make one for every topic! That would be great. It's on my long to-dolist! #mathscpdchat

runningstitchDeb F@runningstitch

3 YEARS AGO

This site is good for starter problems: aplusclick.com #mathscpdchat

dwatson802Damian Watson@dwatson802

3 YEARS AGO

@MrMattock hidden cubes, don't think I know that one, link? #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Good idea. Don't be afraid to let them see you thinking - including at A level #mathscpdchattwitter.com/mrallanmaths/s…

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 28/39

TUDORAN SIMONA @TUDORAN_SIMONA · 3 YEARS AGO

#mathscpdchat pic.twitter.com/ScNGODkDHk

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@AfarBell Interesting - could you give an example? #mathscpdchat

MrsG@MrsGRVHS

3 YEARS AGO

@mathsjem When I was doing TFM1 I wrote questions on teacher's boards & we did themtogether. Love idea of students watching. #mathscpdchat

Mary Pardoe@PardoeMary

3 YEARS AGO

@mrbartonmaths @MathsladyScott #mathscpdchat Yes, surely justified itself for learning. Butare there good problems within a good game?

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 29/39

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

Don't know if anyone mentioned students trying to write their own problems? Or evenpresenting their fav problems as starters? #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

#mathscpdchat twitter.com/bkdidact/statu…

frimymathsHilda Frimpong@frimymaths

3 YEARS AGO

@mathsjem @Mrrismithmaths very nice one Jo! #mathscpdchat

Reflective Thinking@Refthinking

3 YEARS AGO

To mark this problem-solving special, we're offering codes for bit.ly/DMCaptainQ. Comment#mathscpdchat at bit.ly/RTletusknow.

Udall@DJUdall

3 YEARS AGO

@mathsjem #mathscpdchat Any topics missing? There are still 15 minutes left...

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@dwatson802 app.mymaths.co.uk/210-resource/h… you will need access to MyMaths#mathscpdchat

runningstitchDeb F@runningstitch

3 YEARS AGO

@runningstitch: We are writing some problem solving lessons for new GCSE using mostly FMSPqs and Boxing Up from @zebfriedman #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 30/39

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@DJUdall I need good questions for most topics! Absolutely any extension-type problems wouldbe great #mathscpdchat

tudoran_simonaTudoran Simona@tudoran_simona

3 YEARS AGO

I have a problem of the week(eg UKMT) in my school and a small red post box where keenstudents submit their solutions. #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@PardoeMary @mrbartonmaths #mathscpdchat The only way I can explain it is-solve problemof writing algorithm then you will see what I see?

SOLVE MY MATHS @SOLVEMYMATHS · 3 YEARS AGO

#mathscpdchat I like this question "find the area of the shaded region"

pic.twitter.com/q4VdGngnC8

mathsjemJo Morgan@mathsjem

3 YEARS AGO

There were some fantastic indices problems in the latter part of my post about teaching indicesresourceaholic.com/2014/12/indice… #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 31/39

Mary Pardoe@PardoeMary

3 YEARS AGO

@MathsladyScott @mrbartonmaths #mathscpdchat Problem-solving, which many learnrsstruggle with (eg 'the sweets problem') is a bit different?

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@solvemymaths This is one of those 'I have no idea where to start' problems #mathscpdchat

mrbartonmathsMr Barton@mrbartonmaths

3 YEARS AGO

I'll be adding two brand new sets of problems on this page over the next few weeks. Hope youlike them mrbartonmaths.com/specialresourc… #mathscpdchat

UDALL @DJUDALL · 3 YEARS AGO

#mathscpdchat Can't remember if I've shared this before. If you want to try it let me know where it

takes you. pic.twitter.com/fcw5TnWcAR

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

Yes. Excellent, challenging question. #mathscpdchat twitter.com/solvemymaths/s…

ROB BECKETT @RBECKETT_YD · 3 YEARS AGO

#mathscpdchat pic.twitter.com/orWS5Qy9wj

MissWillisMathsMiss Willis@MissWillisMaths

3 YEARS AGO

@solvemymaths I now understand how pupils feel when I give them a problem...#mathscpdchat whaaaaaaaat?

MrMattockMr Mattock@MrMattock

3 YEARS AGO

@runningstitch @zebfriedman Have a look at the AQA Problem solving and guidance as well;some great stuff there #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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Michelle Guy@Myguymaths

3 YEARS AGO

@Myguymaths: Jim Noble's teachmathematics.net is fantastic - I know it's subscription but only£65 for the year - bargain! #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@tudoran_simona Lovely idea. Tried a whiteboard (like in Good Will Hunting) once butstudents kept running the question out! #mathscpdchat

SOLVE MY MATHS @SOLVEMYMATHS · 3 YEARS AGO

I also write very difficult problems. #mathscpdchat but they're all solveable with GCSE skills

pic.twitter.com/JJNP04rs3U

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@PardoeMary @mrbartonmaths #mathscpdchat Think there are 'layers' to problem-solving &sometimes many steps -the sweets problem was exam que

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 34/39

Udall@DJUdall

3 YEARS AGO

#mathscpdchat Oooh, Gonna try this later on. Thank you twitter.com/solvemymaths/s…

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@mrbartonmaths Look forward to it #mathscpdchat

cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

Always a good idea. Gets students thinking! #mathscpdchat Thanks @siobhanorb twitter.com/siobhanorb/sta…

MissBaileyMathsCharmayne Bailey@MissBaileyMaths

3 YEARS AGO

@PardoeMary @MathsladyScott @mrbartonmathsyes, they fail to see links between topics. Dowe teach topics in isolation too much?#mathscpdchat

solvemymathssolve my maths@solvemymaths

3 YEARS AGO

& my philosophy on writing them is here solvemymaths.com/about/ summary: it's not about theanswer, it's about thinking. #mathscpdchat

runningstitchDeb F@runningstitch

3 YEARS AGO

dropbox.com/sh/e5ffrzhvej0… Contains SMARTS (and exported ppts) of GCSE Shape / BoxingUp problem solving lessons @zebfriedman #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@siobhanorb Love this idea. My Year 10s wrote problems for a socrative quiz last week - somewere excellent #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 35/39

Mary Pardoe@PardoeMary

3 YEARS AGO

@MathsladyScott @mrbartonmaths #mathscpdchat Surely an exam question can be a problemto solve. Just having to solve it under stress!

Udall@DJUdall

3 YEARS AGO

#mathscpdchat Great memorable problem adapted by Don Stewarddonsteward.blogspot.co.uk/2013/06/mega-q…

Grainne Byrd@ByrdGrainne

3 YEARS AGO

@mathsjem #mathscpdchat I really like the strategies for problem solving poster.

solvemymathssolve my maths@solvemymaths

3 YEARS AGO

Here's my advice on how to encourage problem solving in Ss before the 2017 GCSEsolvemymaths.com/2015/06/07/the… #nomorespammingnow #mathscpdchat

cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

OK for teachers to get little uncomfortable feeling about maths once-in-a-while. We're learningtoo. #mathscpdchat twitter.com/MissWillisMath…

MrMattockMr Mattock@MrMattock

3 YEARS AGO

dropbox.com/s/00otntprkv0p… My Year 8 homework for this week, the triangles investigationbroken into 3 parts #mathscpdchat

runningstitchDeb F@runningstitch

3 YEARS AGO

@zebfriedman any feedback welcome! Trying to share writing between mid-Sussex schools#mathscpdchat #collaboration

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

https://storify.com/ncetm/problem-solving-what-are-good-problems-where-can-y.html 36/39

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@solvemymaths #mathscpdchat Agree with "challenge for students often means obscurity,vagueness, opportunity, creativity and choice"Thk U:-)

mathsjemJo Morgan@mathsjem

3 YEARS AGO

@runningstitch @zebfriedman Brilliant, loads of great stuff here, thank you. #mathscpdchat

cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

Great to join #mathscpdchat from 2pm to 3pm here in the States. Great ideas and greatdiscussions! @mathsjem

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@mathsjem Yes, some not great but it's like writing interview qs when preparing for aninterview yourself! Sparks thought. #mathscpdchat

MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

Great insight into the importance of mathematical thinking. Thank you! #mathscpdchattwitter.com/solvemymaths/s…

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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MICHELLE GUY @MYGUYMATHS · 3 YEARS AGO

@Myguymaths: This one is really great! Did it today. pic.twitter.com/QTtGPCysA6 #mathscpdchat

pic.twitter.com/72zU5YBq77

siobhanorbSiobhan O' Connor@siobhanorb

3 YEARS AGO

@MissBaileyMaths @PardoeMary @MathsladyScott Yes, definitely. I think the new curriculummight reshape this somewhat. #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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TESS MATHS @TESSMATHS · 3 YEARS AGO

Durham Maths Mysteries #mathscpdchat ncetm.org.uk/public/files/4…

pic.twitter.com/KV5VN8bOW8

cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

Here are some questions to encourage thinking among teachers.…goodaboutpubliceducation.blogspot.com/2015/06/why-do… #mathscpdchat twitter.com/siobhanorb/sta…

runningstitchDeb F@runningstitch

3 YEARS AGO

@mathsjem @zebfriedman Thank you! We think having them in lesson format will help us toremember to use them regularly! #mathscpdchat

mathsjemJo Morgan@mathsjem

3 YEARS AGO

I like this problem: Simply (x - a)(x - b)(x - c)(x - d)(x - e)....... (x - z). #mathscpdchat

19/04/2018 Problem-solving: what are 'good' problems? Where can you find them?

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MathsladyScottHeather Scott@MathsladyScott

3 YEARS AGO

@PardoeMary @mrbartonmaths #mathscpdchat This is the point to be a 'good problem' itneeds to create a fascination to do maths in students!

cincottapeterPeter Cincotta@cincottapeter

3 YEARS AGO

I won't give away the answer, but "Yes", great problem. Think about it. #mathscpdchat twitter.com/mathsjem/statu…

mathsjemJo Morgan@mathsjem

3 YEARS AGO

Right, that's #mathscpdchat done for this week. Thanks so much to everyone who participated.I'm off to have a glass of wine. :)