This is my 54th update from the Blue Planet of Maths EduTwitter. If you're non a tweeter, or you've been away over Easter together with you're wondering what yous missed, here's a summary of unopen to of the latest resources for education maths.
1. Algebra past times Example In response to my blog post near whether posters e'er move good inward maths lessons, Chris K (@k_sirhc) shared the Strategic Education Research Partnership's maths website. It contains poster problems together with a range of resources called 'Algebra past times Example' which are worth a look. There are 42 brusk activities that could last used equally starters, conk tickets, assessments, homeworks or prompts for degree discussion. Each action involves commenting on unopen to other student's move together with thence answering a like question. Here's an example:
2. Deepening Understanding Ben (@DUMaths) is a Year half dozen instructor who has late launched a novel website deepeningunderstanding.co.uk containing maths resources aimed at Year half dozen students. There's unopen to lovely materials hither together with the collection is growing.
Welcome to my 59th update from the globe of Maths EduTwitter. Here I summarise some of the latest ideas too resources for teaching maths.
First I desire to state give thank yous you! Today I reached a milestone - resourceaholic.com has had over 1 meg views since my get-go blog post, which I wrote when I was heavily important dorsum inwards Apr 2014. Since too thus I've been busy, publishing guide to resourceaholic.com helpful. Thank yous to all my readers too contributors, too to those who regularly role too recommend my resources libraries. I genuinely appreciate the support.
On amongst the gems...
1. Increasingly Difficult Questions I similar @taylorda01's novel laid of 'increasingly hard questions'. In lessons I oft inquire my students to endeavor some practise questions from the board thus I tin banking concern check their understanding, earlier moving on to a lengthier task. This growing banking concern of questions volition endure useful.
2. Arithmetic Vocabulary
I beloved these graphics shared by @mathemaniac. They mightiness brand practiced displays for a maths classroom.
3. More Displays I also similar these Command Word Posters from Christine Norledge (@MissNorledge). She get-go published these concluding yr but somehow I missed them at the time.
This lovely Join #TeamMaths in which I talked nearly my latest Twitter project
Warwick 2016 in which I reviewed Edexcel's Warwick conference too shared materials from my workshop 'The Wonderful World of Maths Resources'
I also presented a workshop called 'Perfect Polynomials' at the FMSP's London KS5 Network Day concluding Fri - yous tin download the materials here.
I was interested to come across that Boolean Maths Hub is running a ii day summer school for simply about 75 students to deal span the gap betwixt GCSE too Influenza A virus subtype H5N1 level. If this goes good I wonder if to a greater extent than hubs volition follow their Pb side past times side summer. I'm also impressed past times the locomote done past times the White Rose Maths Hub lately in developing schemes of locomote too resources - including lots of back upward for main teachers.
Did yous come across that MEI has released a sequel to their awesome Sumaze App? Check out Sumaze! 2.
If you're looking for resources for destination of term lessons (when yous solely stimulate got a one-half a course of pedagogy or one-half a lesson thus can't learn novel topics), banking concern check out my post End of Term Resources. Also, don't forget Chris Smith's Summer Holiday Relay Race.
Open Evening I wrote a post nearly ideas for Open Evening a couplet of years ago. Some of yous won't stimulate got Open Evening until September but nosotros had ours concluding week, thus here's a quick update on some novel things nosotros tried this year...
In 1 classroom nosotros played Memory Maths from flashmaths.co.uk. This game has been simply about for years but I've non used it before. It was genuinely fun! We gathered together groups of competitors (visiting children, their parents, Year vii too Year 12 tour guides, passing teachers...), too gave them each a mini-whiteboard. Questions flashed upward on the board too players had to write downward the answers if too when they could. It worked good - I beloved activities that engage every historic menstruum group.
In some other room nosotros had a tabular array ready amongst lots of Numeracy Ninjas sheets. Visiting children too our pupil tour guides sat downward too completed equally much equally they could, too when their fourth dimension was upward nosotros marked what they'd done too gave them a corresponding ninja sticker. We've been using Numeracy Ninjas at Key Stage iii for the concluding few months too it's been going genuinely good thus it was practiced to give prospective students a sense of savour of something they volition genuinely create inwards maths lessons. Us teachers all had a larn besides too enjoyed wearing our stickers later (we're a competitive department!).
That's it from me. I'll larn out yous amongst a lovely enquiry from AQA that genuinely stumped my Year 10s. It's a double bounds question, inwards reverse, amongst discrete data. It takes some thinking!
This is a big milestone for me. I've published 327 posts since I started writing my spider web log 4 in addition to a one-half years ago. One hundred of those posts convey been business office of my 'Maths Gems' serial - each ane has featured a pick of news, ideas in addition to resources for maths teachers.
When I joined Twitter I couldn't believe how many ideas in addition to resources were beingness shared yesteryear maths teachers everyday that weren't beingness seen yesteryear the hundreds of thousands of maths teachers who aren't on Twitter. I recollect trying to convince a colleague to bring together Twitter in addition to he said 'I merely don't convey fourth dimension for it. I wishing mortal could merely summarise the ideas for me'. So that's what I elbow grease to do.
I used to write ane gems post a calendar week (I was on motherhood leave!) but straight off I operate full-time I exclusively deal ane or ii gems posts a month. Twitter even in addition to hence provides a constant flow of fabric to pick from, in addition to hence I maintain to summarise in addition to portion some of the best ideas, inward the promise that I tin larn these ideas into classrooms all over the world.
To celebrate the fact that this is my 100th gems post, I'll endure recording a exceptional podcast amongst Craig Barton adjacent weekend. In grooming for this podcast Craig wants yous to guide your favourite jewel (there are 500 to guide from, all indexed here). Tweet, DM or electronic mail Craig (or comment below) to explicate why yous chose it, in addition to it could cease upwardly on the show.
On amongst the gems...
1. Mastery Learning Cycle Over the course of written report of the final ii years Mark McCourt (@EmathsUK) has published a series of posts on mastery. You must read these splendid posts if yous haven't already! Oliver Caviglioli (@olicav) in addition to Mark convey worked together to do a poster which visualises Mark's model of the Mastery Learning Cycle.
This is merely an extract - download the poster to sympathize what it's all about. This is definitely something to portion amongst all trainee maths teachers (and likely all experienced maths teachers too).
No incertitude Mark's mass 'Teaching for Mastery', due to endure published inward Spring 2019, volition endure a must-read too.
2. Manipulatives If yous desire to occupation manipulatives inward your didactics but don't know where to start, Craig Barton in addition to Bernie Westacott convey recorded a video podcast that yous volition detect real useful. You tin access the videos through Craig's Youtube playlist. For event hither Bernie explains how to occupation manipulatives to instruct negative numbers:
I've blogged earlier nearly Jonathan Hall's (@StudyMaths) amazing library of virtual manipulatives. It has continued to grow.
One of the novel additions is a bar modelling tool. It's real slowly to occupation in addition to I'm certain lots of teachers volition detect it helpful.
3. Indices Tasks Miss Konstantine (task for exploring indices. Students variety the cards in addition to detect the strange ane out.
I can't maintain upwardly amongst all the ideas in addition to resources that Miss Konstantine (@GiftedBA) has been sharing lately! For event I enjoyed her recent perimeter problems. Check out her Twitter feed in addition to spider web log for lots to a greater extent than neat stuff.
Speaking of indices, I made an indices business for a recent Teach Secondary article. This resources is designed to endure used amongst a Year vii course of written report later on spending some fourth dimension on index notation, but it would operate amongst other yr groups too. The total resources is here - it contains 4 introductory indices activities.
4. Area Here's a overnice thought to assist students develop an agreement of what expanse is. Ilona Vashchyshyn (@vaslona) challenged her students to write their cite in addition to hence that it covers an expanse of precisely 100cm2. Read the thread for ideas on how to extend this activity.
The challenge: Write your cite in addition to hence that it covers an expanse of precisely 100 cm squared.
Love the unlike strategies students used here. E.g. Leia, who chose to brand each missive of the alphabet 25 cm^2. Notice the revisions on the A.#mathchat#MTBoS Cc @PaiMathpic.twitter.com/FowEQoL4I6
5. Assessment and Questioning Mrs Budak (@mrsbudak) tweeted an interesting thought from @teacher2teacher that could operate inward every subject. At the cease of an assessment students are given the chance to write downwardly everything else they know nearly the topics on the test. It stops students beingness frustrated when a examination doesn't encompass the things they revised, in addition to it's likely a adept occupation of fourth dimension to retrieve materials from one's retentiveness in addition to write it downwardly (it definitely beats sitting in that place waiting for the examination to end!).
Finally, for some argue this reminded me of some other jewel that I've been pregnant to portion for ages...
Two years ago, I was proverb “do yous convey whatever questions?”. Last yr I switched to “what questions do yous have?” It made a difference. Today I tried “ask me ii questions”. And they did! And those ?s led to to a greater extent than ?s. It amazes me that the littlest things convey such a big impact!
It such a uncomplicated thought piffling change, in addition to and hence slowly to do! It's worth reading the thread for give-and-take in addition to ideas. Credit to Howie Hua (@howie_hua) for outset tweeting nearly this dorsum inward May. Here's some other of Howie's ideas:
For tests, I dedicate the outset five minutes to convey students lucifer the tests in addition to beak to their grouping nearly strategies (w/out pencils). This lowers their examination anxiety AND when yous walk around, yous listen some of the richest math conversations. #iteachmath
Update I've had a busy few weeks visiting a issue of unlike schools, including ane where I saw soundless instructor inward activity for the outset time.
I helped to run the outset 24-hour interval of a novel London-wide Maths Hub Work Group on developing Influenza A virus subtype H5N1 degree pedagogy, which is led yesteryear Carlos Karingal. We were fortunate to convey a fantastic grouping of teachers attend in addition to I await forwards to seeing how our Influenza A virus subtype H5N1 degree didactics develops throughout the year. In my session I talked through some of the ideas inward this splendid piece written by Chris McGrane about approaches to didactics calculus.
Next calendar week I'll endure supporting Chris Reilly inward running some other Maths Hub Work Group - Challenging Topics at GCSE. I'll spider web log nearly this soon.
My 2d Teach Secondary article is straight off available to read online. It's nearly social club of operations, in addition to opportunities to interleave this topic amongst fractions, decimals in addition to algebra.
Did yous encounter that Pearson convey a novel serial of maths textbooks coming out? It's called Purposeful Practice in addition to yous tin thought sample pages here.
Finally, Christmas is fast approaching in addition to hence yous mightiness detect a occupation for my collections of seasonal resources (here and here) - some are topic based in addition to some are for enrichment. I've written diverse posts nearly Christmas presents for maths teachers over the years (here is final year's post on TeachWire if you're looking for inspiration). If yous desire to process yourself during December, the MA has a Christmas advent calendar where yous tin larn daily discounts on MA books.
I'll move out yous amongst this lovely job shared yesteryear James from MathsPad (@MathsPadJames). There are a arrive at of solutions inward the comments (spoiler alert!), but it tin endure solved inward a affair of seconds without whatever workings using GCSE degree maths.
After my minute twelvemonth of didactics my country switched to using the Common Core State Standards. While the standards weren't also dissimilar from the standards nosotros were already using, how they wanted us to learn math switched drastically. No to a greater extent than feeding students algorithms, they wanted students to discover, apply as well as connect. I was totally on board alongside this switch, but the work was ALL of our textbooks were straightaway considered old. I all of a abrupt had no resources for my students to use. However, that summertime earlier schoolhouse started I went to diverse classes that taught most how nosotros would straightaway hold upwards didactics math. They also addressed the outcome of our lack of resources. They taught us how nosotros could genuinely purpose our onetime resources but nosotros simply needed to contrary the questions. This stance was brilliant! Let me plough over an example, a math query may convey said something like, "Find the majority of this rectangular prism alongside a superlative of iii inches, a width of two inches as well as a length of 10 inches." Instead, contrary the question, "Create a rectangular prism that has a majority of sixty cubic inches. Justify your answer." So much to a greater extent than reasoning goes into the minute question.
I used this stance of contrary questioning as well as created an activeness called "What's the Question?" Essentially, I plough over students the reply to the question, as well as they convey to come upwards up alongside the question. Many times at that topographic point is to a greater extent than than i answer, but equally long equally students tin justify their reasoning it industrial plant for me.
I am giving away a sample page as well as thus y'all tin larn an stance of this activity, as well as purpose it alongside your students. You volition run across deep-thinking growth inwards your classroom! CLICK HERE for "What's the Question?" sample page
This is my 54th update from the Blue Planet of Maths EduTwitter. If you're non a tweeter, or you've been away over Easter together with you're wondering what yous missed, here's a summary of unopen to of the latest resources for education maths.
1. Algebra past times Example In response to my blog post near whether posters e'er move good inward maths lessons, Chris K (@k_sirhc) shared the Strategic Education Research Partnership's maths website. It contains poster problems together with a range of resources called 'Algebra past times Example' which are worth a look. There are 42 brusk activities that could last used equally starters, conk tickets, assessments, homeworks or prompts for degree discussion. Each action involves commenting on unopen to other student's move together with thence answering a like question. Here's an example:
2. Deepening Understanding Ben (@DUMaths) is a Year half dozen instructor who has late launched a novel website deepeningunderstanding.co.uk containing maths resources aimed at Year half dozen students. There's unopen to lovely materials hither together with the collection is growing.
Welcome to my 59th update from the globe of Maths EduTwitter. Here I summarise some of the latest ideas too resources for teaching maths.
First I desire to state give thank yous you! Today I reached a milestone - resourceaholic.com has had over 1 meg views since my get-go blog post, which I wrote when I was heavily important dorsum inwards Apr 2014. Since too thus I've been busy, publishing guide to resourceaholic.com helpful. Thank yous to all my readers too contributors, too to those who regularly role too recommend my resources libraries. I genuinely appreciate the support.
On amongst the gems...
1. Increasingly Difficult Questions I similar @taylorda01's novel laid of 'increasingly hard questions'. In lessons I oft inquire my students to endeavor some practise questions from the board thus I tin banking concern check their understanding, earlier moving on to a lengthier task. This growing banking concern of questions volition endure useful.
2. Arithmetic Vocabulary
I beloved these graphics shared by @mathemaniac. They mightiness brand practiced displays for a maths classroom.
3. More Displays I also similar these Command Word Posters from Christine Norledge (@MissNorledge). She get-go published these concluding yr but somehow I missed them at the time.
This lovely Join #TeamMaths in which I talked nearly my latest Twitter project
Warwick 2016 in which I reviewed Edexcel's Warwick conference too shared materials from my workshop 'The Wonderful World of Maths Resources'
I also presented a workshop called 'Perfect Polynomials' at the FMSP's London KS5 Network Day concluding Fri - yous tin download the materials here.
I was interested to come across that Boolean Maths Hub is running a ii day summer school for simply about 75 students to deal span the gap betwixt GCSE too Influenza A virus subtype H5N1 level. If this goes good I wonder if to a greater extent than hubs volition follow their Pb side past times side summer. I'm also impressed past times the locomote done past times the White Rose Maths Hub lately in developing schemes of locomote too resources - including lots of back upward for main teachers.
Did yous come across that MEI has released a sequel to their awesome Sumaze App? Check out Sumaze! 2.
If you're looking for resources for destination of term lessons (when yous solely stimulate got a one-half a course of pedagogy or one-half a lesson thus can't learn novel topics), banking concern check out my post End of Term Resources. Also, don't forget Chris Smith's Summer Holiday Relay Race.
Open Evening I wrote a post nearly ideas for Open Evening a couplet of years ago. Some of yous won't stimulate got Open Evening until September but nosotros had ours concluding week, thus here's a quick update on some novel things nosotros tried this year...
In 1 classroom nosotros played Memory Maths from flashmaths.co.uk. This game has been simply about for years but I've non used it before. It was genuinely fun! We gathered together groups of competitors (visiting children, their parents, Year vii too Year 12 tour guides, passing teachers...), too gave them each a mini-whiteboard. Questions flashed upward on the board too players had to write downward the answers if too when they could. It worked good - I beloved activities that engage every historic menstruum group.
In some other room nosotros had a tabular array ready amongst lots of Numeracy Ninjas sheets. Visiting children too our pupil tour guides sat downward too completed equally much equally they could, too when their fourth dimension was upward nosotros marked what they'd done too gave them a corresponding ninja sticker. We've been using Numeracy Ninjas at Key Stage iii for the concluding few months too it's been going genuinely good thus it was practiced to give prospective students a sense of savour of something they volition genuinely create inwards maths lessons. Us teachers all had a larn besides too enjoyed wearing our stickers later (we're a competitive department!).
That's it from me. I'll larn out yous amongst a lovely enquiry from AQA that genuinely stumped my Year 10s. It's a double bounds question, inwards reverse, amongst discrete data. It takes some thinking!
This is a big milestone for me. I've published 327 posts since I started writing my spider web log 4 in addition to a one-half years ago. One hundred of those posts convey been business office of my 'Maths Gems' serial - each ane has featured a pick of news, ideas in addition to resources for maths teachers.
When I joined Twitter I couldn't believe how many ideas in addition to resources were beingness shared yesteryear maths teachers everyday that weren't beingness seen yesteryear the hundreds of thousands of maths teachers who aren't on Twitter. I recollect trying to convince a colleague to bring together Twitter in addition to he said 'I merely don't convey fourth dimension for it. I wishing mortal could merely summarise the ideas for me'. So that's what I elbow grease to do.
I used to write ane gems post a calendar week (I was on motherhood leave!) but straight off I operate full-time I exclusively deal ane or ii gems posts a month. Twitter even in addition to hence provides a constant flow of fabric to pick from, in addition to hence I maintain to summarise in addition to portion some of the best ideas, inward the promise that I tin larn these ideas into classrooms all over the world.
To celebrate the fact that this is my 100th gems post, I'll endure recording a exceptional podcast amongst Craig Barton adjacent weekend. In grooming for this podcast Craig wants yous to guide your favourite jewel (there are 500 to guide from, all indexed here). Tweet, DM or electronic mail Craig (or comment below) to explicate why yous chose it, in addition to it could cease upwardly on the show.
On amongst the gems...
1. Mastery Learning Cycle Over the course of written report of the final ii years Mark McCourt (@EmathsUK) has published a series of posts on mastery. You must read these splendid posts if yous haven't already! Oliver Caviglioli (@olicav) in addition to Mark convey worked together to do a poster which visualises Mark's model of the Mastery Learning Cycle.
This is merely an extract - download the poster to sympathize what it's all about. This is definitely something to portion amongst all trainee maths teachers (and likely all experienced maths teachers too).
No incertitude Mark's mass 'Teaching for Mastery', due to endure published inward Spring 2019, volition endure a must-read too.
2. Manipulatives If yous desire to occupation manipulatives inward your didactics but don't know where to start, Craig Barton in addition to Bernie Westacott convey recorded a video podcast that yous volition detect real useful. You tin access the videos through Craig's Youtube playlist. For event hither Bernie explains how to occupation manipulatives to instruct negative numbers:
I've blogged earlier nearly Jonathan Hall's (@StudyMaths) amazing library of virtual manipulatives. It has continued to grow.
One of the novel additions is a bar modelling tool. It's real slowly to occupation in addition to I'm certain lots of teachers volition detect it helpful.
3. Indices Tasks Miss Konstantine (task for exploring indices. Students variety the cards in addition to detect the strange ane out.
I can't maintain upwardly amongst all the ideas in addition to resources that Miss Konstantine (@GiftedBA) has been sharing lately! For event I enjoyed her recent perimeter problems. Check out her Twitter feed in addition to spider web log for lots to a greater extent than neat stuff.
Speaking of indices, I made an indices business for a recent Teach Secondary article. This resources is designed to endure used amongst a Year vii course of written report later on spending some fourth dimension on index notation, but it would operate amongst other yr groups too. The total resources is here - it contains 4 introductory indices activities.
4. Area Here's a overnice thought to assist students develop an agreement of what expanse is. Ilona Vashchyshyn (@vaslona) challenged her students to write their cite in addition to hence that it covers an expanse of precisely 100cm2. Read the thread for ideas on how to extend this activity.
The challenge: Write your cite in addition to hence that it covers an expanse of precisely 100 cm squared.
Love the unlike strategies students used here. E.g. Leia, who chose to brand each missive of the alphabet 25 cm^2. Notice the revisions on the A.#mathchat#MTBoS Cc @PaiMathpic.twitter.com/FowEQoL4I6
5. Assessment and Questioning Mrs Budak (@mrsbudak) tweeted an interesting thought from @teacher2teacher that could operate inward every subject. At the cease of an assessment students are given the chance to write downwardly everything else they know nearly the topics on the test. It stops students beingness frustrated when a examination doesn't encompass the things they revised, in addition to it's likely a adept occupation of fourth dimension to retrieve materials from one's retentiveness in addition to write it downwardly (it definitely beats sitting in that place waiting for the examination to end!).
Finally, for some argue this reminded me of some other jewel that I've been pregnant to portion for ages...
Two years ago, I was proverb “do yous convey whatever questions?”. Last yr I switched to “what questions do yous have?” It made a difference. Today I tried “ask me ii questions”. And they did! And those ?s led to to a greater extent than ?s. It amazes me that the littlest things convey such a big impact!
It such a uncomplicated thought piffling change, in addition to and hence slowly to do! It's worth reading the thread for give-and-take in addition to ideas. Credit to Howie Hua (@howie_hua) for outset tweeting nearly this dorsum inward May. Here's some other of Howie's ideas:
For tests, I dedicate the outset five minutes to convey students lucifer the tests in addition to beak to their grouping nearly strategies (w/out pencils). This lowers their examination anxiety AND when yous walk around, yous listen some of the richest math conversations. #iteachmath
Update I've had a busy few weeks visiting a issue of unlike schools, including ane where I saw soundless instructor inward activity for the outset time.
I helped to run the outset 24-hour interval of a novel London-wide Maths Hub Work Group on developing Influenza A virus subtype H5N1 degree pedagogy, which is led yesteryear Carlos Karingal. We were fortunate to convey a fantastic grouping of teachers attend in addition to I await forwards to seeing how our Influenza A virus subtype H5N1 degree didactics develops throughout the year. In my session I talked through some of the ideas inward this splendid piece written by Chris McGrane about approaches to didactics calculus.
Next calendar week I'll endure supporting Chris Reilly inward running some other Maths Hub Work Group - Challenging Topics at GCSE. I'll spider web log nearly this soon.
My 2d Teach Secondary article is straight off available to read online. It's nearly social club of operations, in addition to opportunities to interleave this topic amongst fractions, decimals in addition to algebra.
Did yous encounter that Pearson convey a novel serial of maths textbooks coming out? It's called Purposeful Practice in addition to yous tin thought sample pages here.
Finally, Christmas is fast approaching in addition to hence yous mightiness detect a occupation for my collections of seasonal resources (here and here) - some are topic based in addition to some are for enrichment. I've written diverse posts nearly Christmas presents for maths teachers over the years (here is final year's post on TeachWire if you're looking for inspiration). If yous desire to process yourself during December, the MA has a Christmas advent calendar where yous tin larn daily discounts on MA books.
I'll move out yous amongst this lovely job shared yesteryear James from MathsPad (@MathsPadJames). There are a arrive at of solutions inward the comments (spoiler alert!), but it tin endure solved inward a affair of seconds without whatever workings using GCSE degree maths.