bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿 @berniewestacott Twitter profile

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

2 years

The separate videos of the vlog I did with @mrbartonmaths in 2018 can now be found here in a Playlist on my YouTube channel

Craig Barton and me

Craig Barton's one and only vlog was with me. Introducing Craig to all the manipulatives!

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

I love this question set for Y8 pupils 😍

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

Epic fails using manipulatives to teach fractions

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Cracker of a question set to Y7 pupils in an external exam. No knowledge of trig required - non calculator exam. The only clue to how it could be solved is the diagram below that they are give to work on.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Something on Twitter reminded me of the importance of precise usage of maths language. I would advise any secondary maths teacher who has has not yet read Tony Gardiner (maths hero of mine) 'Teaching Maths at Secondary Level' to download the free version

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

Isn't it unfortunate: when children first meet number lines/tracks, number get greater as you move to the right, but when they later meet place value, digits are greater in value as you move to the left.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Just arrived in my inbox. Have to share this! So for everyone preparing Distance Learning resources etc - the view from a parent on Day 2 😂😂😂 ( Not our school!)

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

The wonderful Craig Barton @mrbartonmaths guiding a nervous pensioner through a video session. After that, I'm an even bigger fan than I was before. Thanks also to @EmathsUK Mark 'the fixer' McCourt whose idea this was and who was the driving force with @OxfordEdMaths @PdDerry

Craig Barton

@mrbartonmaths

6 years

TEASER: Coming soon for your audio and visual "delight"... Teaching maths with visuals and manipulatives with @berniewestacott . Rarely have I been more out of my depth, but learned more. 🧮🧱🔢 Podcast and video out later this week. (cc @OxfordEdMaths & @EmathsUK )

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

One of our EY teachers improvising at home ❤️

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 months

Apologies for the lack of posting, but it turns out that teaching maths 5 days a week aged 72 is considerably more tiring than the 2 days a week I was doing 🤣🤣

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

This one is dedicated to @Miss_Snuffy Taken from 'The Science of Learning: 77 studies that every teacher needs to know'

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

I like using international Maths competition questions with my younger pupils because they have a good variety of spatial reasoning problems.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Came across a cracking question today.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Great to see the Nursery pupils are loving the 5-boards I made for then last week. Combining number and spatial reasoning.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

‘ In bad schools, children learn they only have to behave for experienced or senior teachers. In truly great schools children behave in all lessons – even for NQTs and supply teachers!’ Well said @DavidDidau

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Here is another example of what we did in Y8 intervention yesterday. I could almost hear the sound of pennies dropping and I could almost see the lightbulbs going on above their heads!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

In case you've missed this free app to show decomposing 1 ten into 10 ones, and composing 10 ones into 1 ten lots of other apps all free

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Talking of constructing a 'maths house' for children - here is a copy of a diagram from the Singapore maths curriculm documentation, where I have added on Foundations/Walls/Roof labels I have heard Singaporean experts speak about - this is in both primary and secondary documents.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

If you work with young children, helping them to develop number sense, then you should get hold of a copy of this wonderful book from @ATMMathematics Explains it all with numerous examples. Have a look inside

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Re-posting after recent DfE guidance. Bar model is not a topic - a way to represent the structures. These are from Inspire Maths textbooks - so we are looking at the original ideas from Singapore here, including the arrows showing direction and movement in adding on/taking away

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Re recent discussion on addition and subtraction structures. I think it is important that people distinguish between structures (what it is) and strategies (how we do the calculation). Here is a table of commonly agreed addition/subtraction structures, and strategies.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

If children are to 'automatically recall number bonds...double facts' they must form a network of connections and relationships, not number facts in isolation. Research on young children acquiring 'facts' - it takes 'considerable practice distributed across time'

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 months

On becoming a maths teacher from Tadgh O'Donovan @teachwithtadgh 😂

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Finally found this, where Professor Berinderjeet Kaur, Professor of Mathematics Education at the National Institute of Education in Singapore, explains building 'The Maths House'

Building the Maths house: Singapore’s curriculum framework - Oxford Education Blog

I thought I’d write today about the framework of Singapore’s School Mathematics Curriculum. The framework is captured in a well-known diagram that I’ve attached above, and it provoked a lot of...

educationblog.oup.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

7 months

Year 1 schemes: Interesting to compare the Singapore method for subtraction in cases such as 12 - 7 (subtract from the Ten) with the @WhiteRoseEd scheme, which is based on subtracting to the Ten below then subtracting the rest from the Ten.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Using numbered Cuisenaire rods app as another representation of the break and make ten strategy for addition of two 1-digit numbers

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Red letter day today. Despite the big number I am still training hard with weights and indoor bike for upcoming epic snowboarding trip. Use it or lose it.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

8 months

If we don't demonstrate and teach subtraction of negatives in a mathematically precise way we leave behind us a trail of chaos and confusion, as called out by @NCETM in their training materials. 'Two negatives make a positive' 🤮

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Back on Twitter again, but will not have much time to tweet this week. Covering staff absence, so it's looking like a busy 5-day week as opposed to my usual 2-days of intervention. Really looking forward to teaching whole classes again for a while.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

I am researching MATHS apps for children up to Y2. Below are some of the ones I have looked at...and next tweet. If there are any maths apps you have used with your own child, or at work, that impressed you, would you please share. Not for gain and will be shared when complete.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

CPA is not linear in progression - pupils and teachers can move back and forth between the C, the P, and the A, and IT IS NOT JUST FOR YOUNG PUPILS

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

I know I keep banging on about this, but EVERYTHING I am reading emphasises the importance of developing spatial abilities in young children. What evidence did @educationgovuk come across that is leading to dropping shape and space from the ELG? (Levine, Gibson, Berkowitz)

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Oh deepest joy - how long have I waited for somebody in a position of power and influence to say this...latest guidance DfE NCETM. If young pupils are using 10- frames and Rekenreks, this structure is right there in front of them -speaking English [not great] and speaking Maths.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

With Reception @MTSPrep playing the subitizing game. Perceptual subitizing and conceptual subitizing: eg if they throw a 4 they can look for a 4 like the die pattern, or 2 and 2 or 3 and 1. They are actually subitizing and not counting.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Wow! The outpouring of support and all the kind words has blown me away. This is what Twitter can be. Thank you to all my real-life friends, Twitter friends, and people I didn't even realize were there, for your kindness. I'm all good by the way, just got p****d off with some...

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 months

Love this free app from mathspad. Building solids, intro to volume of prism, understanding the plan and elevation views, building shapes given the plan and elevations.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

Off Twitter until after Christmas - heading off for a much-needed break. Will post some things on multiplying negatives, structures for division, and division with negatives when I get back. Thanks to amazing people I met on Twitter and/or in real life over the last year ❤️❤️❤️

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Key point for pupils to understand: regrouping, decomposing/composing does not alter the value of a number.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Y3 pupil in enrichment session today, talking about summing a series of odd numbers from 1 : ‘Oh it’s easy. You just count how many numbers there are and square that’ 😍 eg 1+3+5+7 =4x4=16

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

What is ‘angle’? We discovered that many pupils are attending to the wrong feature when they look at ‘angle’ Confusing angle measure of turn with vertex, or arm length, or arc length, or shaded sector, or distance from one arm to the other. Is angle getting bigger/smaller?

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Very excited! Had video call with major publishing company and agreed to be involved in developing maths software. Will give details when further down the line. I have wanted to do this for so long, its great to finely have the time and the opportunity - goodbye to 4th retirement

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Hungarian 10-boards - as opposed to 10-frames - got a mention from @helenjwc the other day. Here are a couple of shots from one of my presentations - please excuse the spelling error that I only just spotted 😒

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Thanks to everyone who joined my @WRMathsSec #mathsbrunch session this morning, and thank you for so many positive comments on Twitter. Really appreciated being asked to present. Knowing how foundations are formed can help us to support older pupils who lack those foundations.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

#TweacherThemedSummerJams Finally decided to give it a shot. In kitchen with iPad so no frills!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

First Lewisham primary school I worked with introducing Singapore Maths, way back in 2013- outstanding and brave head. Only a matter of weeks after we started with this CPAL approach, here is a Y1 pupil demonstrating place value. I always put this into my PD sessions.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

'Less than 5 minutes to tell you 5 ways that early mathematics is really surprising' @DHClements on Early Childhood Math Education - speaking at the White House

Douglas Clements, Ph.D on Early Childhood Math Education at the White...

“It’s surprising, how deep and broad, children’s thinking can be about mathematics” said Douglas Clements, Ph.D, to a packed White House Press room this morn...

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

I have been involved in teaching maths since 1973. MathsConf14, amongst other things, convinced me that we are living in exciting times for maths teaching and learning. I have never felt so positive about the direction the UK is taking. Let’s hope the mandarins don’t stuff it up!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

Each time she is given a new block, she starts counting all the blocks from the beginning. This stage of counting is known as the “count-all” stage. @eriksonmath Brilliant site for early Maths. Counting Principles

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

I cannot tell you how much I love this job as a maths intervention teacher. It is like being a forensics (Maths) scientist: designing tasks and questions that get under the bonnet of misconceptions and partial understandings; then design activities and questions to try to fix it.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

‘The goal of early math education is not simply to move young children to abstract thinking. Rather, it is to help children make sense of the relationship between concrete materials and the abstract concepts they represent’ Growing Mathematical Minds’

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

I’m not sure everyone realises the wealth of detail available on the website. Register, set up a dummy class, and you can see the trajectories. Choose an age, then an area, then scroll down. Pick one topic and read further, often videos.Its all free!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

This taken from @NCETM Secondary PD resources on Multiplicative Reasoning is key to multiplicative methods, and we spend a lot of time on this. If pupils do not grasp it they do not get beyond unitary methods i.e. find 1 unit then scale up/down

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

No normal maths posts for the next 2 1/2 weeks because we’re off to Uganda tomorrow. Will be working out there with schools, teachers, pupils, and orphanages on behalf of Jinja Educational Trust. Will, however, post updates on our adventures with these wonderful people.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

How much Maths stuff can you fit in a carry-on case? Turns out quite a bit! Working with @TeachMonsters team last Monday and Tuesday.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

'It is much more effective to use real contexts as a route into maths and as a means of developing students’ understanding. When students work in context, rather than in the abstract, they are not just ‘doing maths’, they are using maths to solve problems' CfEM link below.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

'IMPLICATIONS: Number sense is something that can be improved, although not necessarily by direct teaching. Moving between representations and playing games can help children’s number sense development'

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Crikey! When I agreed to do this, I never imagined that over 500 people would sign up for it!! Suffering huge imposter syndrome panic and rehearsing like crazy 😂😂😂See you tomorrow...

Oxford Primary

@OUPPrimary

4 years

Explore some of the key number and place value 'Ready-to-Progress' criteria set out in the new DfE non-statutory guidance for #PrimaryMaths in this webinar with @berniewestacott ⏰ 4-5pm on Tues 13 Oct Register: Everyone registered receives the recording.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

Fractions: the way we say them is rubbish for children - a half? a third? Singapore primary textbooks: 1 out of 2 equal parts; 1 out of 3 equal parts. Chinese language: 2 parts of which we take/have 1; 3 parts of which we take/have 1 - I've read the denominator is said first.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

11 months

Thank you @helenjwc for donating copies of your book for our JET schools in Uganda. Elijah, the principal of Twinkle school, will help to promote a playful mathematics approach in his school.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

In 50 years of teaching Y8 this topic, I've never done it in such a short time with such good understanding and competence from pupils. Using @mathigon to link what they already know about nth term and interpreting this in a graphical representation with y=mx+c. 30 minutes.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Interesting take on division by fractions from Jay Timotheus and Sally O’Brien in MT 271. Analysing what is meant by division. I think that division as 'the inverse of multiplication' also helps to grasp the ideas presented e.g. 4÷1/5 can be interpreted as 1/5 x something = 4

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Signing out of Twitter for 10 days because we are off on a get-away-from-it-all break. Wishing everyone a peaceful, healthy, restful, and restorative summer break.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Reflecting on how we are all on a never-ending journey to be as good as we can be. I had been teaching successfully for more than 30 years before I read very detailed Singapore Maths teacher guides. It was at that moment I realised - I didn't know how much I didn't know!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 months

After 39 years of full-time teaching I retired in 2012. I ended up helping out as non-teaching HoD from 2015-2017 and have been teaching 2 days a week for the last few years. 12 years after retiring, this term, for one term only, I am back to being in school 5 days a week🤣🤣🤣

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Just dropped into Nursery. Playing with prototypes of numerical and spatial compositions of numbers using Numicon. Having children fit shapes into holes/recesses works really well. Embodied Cognition and Embodied Learning.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

A present from my wife this Christmas. This will get much use at the weekly pub quiz! 😂😂

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Love the use of Cuisenaire rods in ratio and proportion. Possible to avoid forming a fraction equation and then re-arranging it to get to 4a = 3b ( a useful skill, but for me this way of looking at it is more elegant). Makes parts of recent GCSE questions much more accessible.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

7 months

Just came across this cracking question set for Y7/Y8 in maths competition.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Good to see that politicians are suddenly so concerned about ‘disadvantaged children’ because according to the Hansard list of debates they haven’t really given much of a s*** for the last decade!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

I can't now find this one on Twitter, where I 'borrowed' it from, but I got a well-explained solution from one of our Y4 pupils. I shared it across the various Y4/6/7/8 school Maths Chat groups I run and I received several solutions, but his explanation was tip top.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Related to the current theme of 'catch up', some of my favourite bits from the mighty @ban_har Do not sweat over the topics, if you miss out a topic...don't tell anyone, but did you give them opportunities to visualize, make connections, and communicate their thoughts.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Going for a walk/jog/run,chilling out? Why not listen to this podcast HOW EARLY YEARS CHILDREN DEVELOP MATHEMATICAL THINKING (38 minutes) featuring the EY expert Sue Gifford: Comparison, Cardinality, Subitising, + more

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

SUBITIZING: If you haven't yet come across the mighty Jack Hartman, take a look on YouTube. This video covers: perceptual/conceptual subitizing; dot/dice patterns, ten frames; part-wholes, composing and decomposing.

Subitize Up To 5 (soo-bi-tize) | Math Song for Kids | Jack Hartmann

Jack Hartmann's website: www.jackhartmann.comRemember to connect with Jack Hartmann on his Social Networks:Facebook: www.facebook.com/hop2itmusicPinterest: w...

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Y2 pupils loved 'solving equations' with Free iPad app available. Promotes reasoning/deduction and gives pupils an opportunity to apply maths facts. Firsty had to explain what mobiles were and how they worked. Feedback - will tip if answer is wrong.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

What a great applet free from @MathsPadJames I really like the demo of sum of exterior angles is 360, any number of sides and any shape. I usually show this using a pencil, and way back we used to demo this using a Valiant Turtle with BBC Micro.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Planning the PLACE VALUE section of an app and went off down a rabbit hole that led me to this video 'Why is Eleven not called Oneteeen?' Interesting etymology summary.

Why Is Eleven Not Called Oneteen?

HELP SUPPORT NAME EXPLAIN ON PATREON: https://www.patreon.com/nameexplainBUY MY BOOK: http://bit.ly/originofnames TWITTER: https://twitter.com/NameExplainYTM...

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

I think I'll find myself using this quite a lot - easy to use BAR MODEL app from @WhiteRoseMaths One of 5 free apps: Place Value; Algebra Tiles; Rekenrek; Bar Model; Double-sided Counters

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Cockroft Report: Mathematics Counts (1982) Problem Solving

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Just rereading sections of this fabulous book from the terrific trio that is Rose Griffiths, Jenni Back, and Sue Gifford. Some books, you come back to time and time again 😍

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Started up my YouTube channel with a playlist of videos using manipulatives when dealing with positive and negative integers. Have just added one on multiplying positive/negative integers and will post division when I get time.

Bernie Westacott Maths

Taught Maths full-time from 1973 to 2012, and retired from full-time Head of Maths teaching twice (2012 and 2017). Cannot let it go, so I'm now an intervention teacher 2 days a week. I also work with...

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

ELG: if spatial reasoning is not a central pillar of EY maths then the house of mathematical concepts children develop will be a wobbly structure. No wonder so many EY experts are up in arms about the new ELG. (2018). Some comments from the opening...

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

This is how schools in China are ensuring social distancing...

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Preparing Y6 Maths class, and reflecting on the fact that when these pupils collect like terms, if the signs are the same they automatically collect them in a straight line, but if they are opposite they put one over the other for Zero Pairs - powerful mental images.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Want to know more about using Cuisenaire rods? Fabulous collection of articles from @ATMMathematics Find them here

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

8 months

A BIG idea in the way that I teach algebra is understanding that subtraction becomes addition of the additive inverse. We demonstrate that as shown in this video, but the pupils' take away has to be to be the abstraction of this.

subtraction as the addition of add inv

null

www.youtube.com

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

Nice website to use (full screen mode) when introducing solving equations with balance and zero pairs. Make Your Own has been programmed to ensure integer solutions - nice! Video is about twice normal speed

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Playing board games can be great for developing ordering, counting, magnitude, and numeral recognition. But not all board games are made equal and we may need to make some changes... Clements and Sarama (2021)...my additions in red

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

6 years

No! No! No! This is the wrong way up...On a PROPER 100 square: to make a number 10 BIGGER you go DOWN a row. To make a number SMALLER you go UP a row. Oh, hang on a minute... 🤣🤣🤣 I've never used a normal one because of this reason.

Erikson Early Math

@eriksonmath

6 years

A twist on a popular math tool, this collection of activities shows how placing a number 1 in the bottom-left cell and a 100 in the top-right cell can better support student reasoning. A Bottom-Up Number Chart? [pdf]

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

It’s only when pupils get to see the diagram and/or use algebra tiles that the phrase ‘complete the square’ really makes sense. From Shinglee Secondary 3 textbook.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Interesting task..trying to map the Number and Operations progressions from @EducEndowFoundn Improving Mathematics in EY and KS1 Guidance Report onto a development chart based on Learning Trajectories from Clements and Sarama - finding this a challenge!

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 month

Here are two classic problems ready on the board for my Y8s to do when they enter the room this morning. Courtesy of @mehrdadbas72335 and @CoreMath80

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

In initial learning, the use of manipulatives should match the context and the method. I find this confusing: a problem that would require a sharing approach to divide the 351 pieces into 3 bags, but being modelled with place value counters with a grouping approach

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

4 years

Liping Ma stressing that using manipulatives, or doing things 'practically', will not necessarily get the job done - firstly, the teacher needs to have a secure understanding of the underpinning concept/structure, and they need to connect any manipulatives to the concept.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Two new arrivals in my Amazon locker today - @eriksonmath and Amy How @rekenrek101 Why didn’t I buy these earlier?

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

The Rekenreks are being made locally in Jinja, Uganda, ready for when we fly out to work with schools in July 😍

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

Virtual manipulatives can sometimes 'mirror mental “actions on objects”better than physical manipulatives' For example, an app can allow 10 Ones to be composed into 1 Ten stick, and 1 Ten stick can be decomposed into 10 Ones, which is the idea I want pupils to have. (Link below)

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

1 year

I'd forgotten that our Y1 pupils go crazy for these Naoki Inaba Number Staircase puzzles.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

2 years

Do we give young children enough experiences with seeing addition as sliding shapes together? These have been set up to involve only translation (slide without rotating) - work out how much altogether when the block on the right is added/moved to the one on the left.

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

5 years

Huge Thank You to @WhiteRoseMaths Turning their end of block tests into Pop Quiz Powerpoints for our teachers

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bernie westacott 🏴󠁧󠁢󠁷󠁬󠁳󠁿

@berniewestacott

3 years

In all the talk of 'catch up' and the new guidance from @NCETM , with Debbie Morgan @ThinkingMaths presenting the intro video, here's one theme that I can live with 'Teach less, but teach it well' Reasoning and making connections rather than frantically-paced coverage.

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