Showing posts with label ICT. Show all posts
Showing posts with label ICT. Show all posts

Friday, October 25, 2019

Teaching Amongst Desmos

I discovered Desmos terminal yr through @ColleenYoung's fantastic weblog Mathematics, Learning in addition to Web 2.0. It chop-chop became my favourite slice of 'teachnology'. Before Desmos I occasionally used Omnigraph or Autograph, but I at nowadays utilization Desmos regularly because it's but so tardily to use. It actually couldn't travel simpler. As it's web-based, I encourage my pupils (particularly at Influenza A virus subtype H5N1 level) to utilization Desmos at domicile to back upward their studies, for trial to depository fiscal establishment gibe graph sketches.

Desmos on the Interactive Whiteboard
When instruction exponential functions to Year 12, I used Desmos on my IWB to present the graphs of functions such every bit y = 2x in addition to y = 3x. We discussed our expectations for graphs such every bit y = 2-x in addition to used Desmos to check.  When nosotros plotted y = (-2)x nosotros got an interesting trial - which had me stumped for a infinitesimal - tin you lot explicate it?


Desmos is specially helpful for demonstrating concepts inwards Further Maths (such every bit the directrix in addition to focus of a parabola) - there's unopen to expert examples in this blog.

Desmos inwards the information technology Room
My schoolhouse doesn’t ain tablets in addition to information technology rooms are rarely available, in addition to hence my pupils don't oftentimes acquire the conduct a opportunity to utilization applied scientific discipline during their Maths lessons. But I was in addition to hence non bad to part Desmos alongside my Year ix class, I made a big endeavor to acquire organised. I produced this worksheet for them to utilization inwards an information technology room, alongside the aim of introducing dissimilar types of graph (quadratic, cubic, reciprocal) in addition to uncomplicated transformations. After a real brusk demonstration of Desmos, the degree spent ii whole lessons working independently. I was pleased alongside their progress in addition to I promise that they'll hollo upward Desmos in addition to proceed to utilization it every bit a learning tool both at domicile in addition to at school.

I loaded my worksheet onto TES today - along alongside a graph transformation activity that I utilization at Key Stage iv - in addition to it got me thinking well-nigh whether whatsoever other resources are available for instruction alongside Desmos.  I establish a few examples on TES, such as Investigating at in i trial lines alongside Desmos past times Tristan Jones and Using Desmos to learn Coordinate Geometry (KS3) past times phildate. I facial expression that the make of instruction resources available volition grow every bit increasing numbers of teachers respect in addition to encompass this fantastic tool.  




Linear Graphs

One of the topics that my pupils fighting amongst the most, from Key Stage iii correct through to Year 12, is linear graphs.

My brilliant Year 11s know the dominion for finding the slope of a perpendicular line, but can't operate out how to respond a GCSE interrogation similar this:
Strangely, I learn this differently at GCSE too Influenza A virus subtype H5N1 level.  At GCSE my pupils write down
y = mx + c
too substitute values for y, thousand too x, too thus solve for c.  Whereas at Influenza A virus subtype H5N1 marker my pupils utilization the equation
y - y1 = m(x - x1)
Essentially the same method but a slightly dissimilar approach. Perhaps I should hold out to a greater extent than consistent too innovate the 'A marker method' at GCSE. I'd similar to remove heed what other teachers do.

In this postal service I’ll advise closed to ideas too resources for didactics linear graphs.

Key words
Let's showtime amongst the basics. There's a lot of novel vocabulary inward coordinate geometry, closed to of which pupils volition accept encountered at primary school. This is a overnice vocabulary noesis survey every bit suggested inward my earlier post

Here's a overnice play a trick on for remembering the words parallel too perpendicular (this could hold out helpful for spellings - parallel is oftentimes misspelt): 

too this activity is suitable for Year six or 7. 

Introducing the shape y = mx + c
I'd unremarkably showtime this topic inward Year seven or 8 amongst plotting conduct work graphs (Teachit Maths provides an excellent Drawing Straight Line Graphs booklet for this purpose), before exploring the shape y = mx + c.

This topic provides an splendid chance for pupil investigation using Desmos. Use a worksheet to guide pupils through the lesson:

Once pupils are able to translate the values of thousand too c too thus they tin endeavour this exercise or this true/false activity (both from rogradymaths.blogspot.co.uk). Teachit Maths also has a overnice 'Understanding y = mx+c' worksheet and two activities on horizontal too vertical lines.

My weblog postal service 'All nigh gradient' features ideas too resources for didactics slope (the postal service focuses mainly on real-life applications of the concept of steepness, but also features links to slope worksheets too activities).

Understanding parallel too perpendicular gradients
So here's the primal data that pupils demand to understand:

If they know how to operate out a slope every bit 'rise over run' (or equivalent) too thus pupils should hold out able to derive the 'negative reciprocal' dominion for perpendicular gradients from an activeness similar this ane from MathsPad.

Here's a few activities for a lesson on perpendicular lines:

Bringing it all together
When students written report linear graphs at AS level, they don't actually acquire anything novel - my GCSE pupils should accept the necessary skills too noesis to respond C1 coordinate geometry questions. I gave my Year xi pupils questions 5 - seven from this AS worksheet final twelvemonth - it took them ages to respond each question, but they were for sure capable. Essentially it's merely the wording of the questions that throws them.

Here's closed to to a greater extent than recommended resources suitable for GCSE students:

Finally, fun for puzzle-lovers in linear relationships sudoku and a overnice Key Stage iii Christmas activeness on plotting linear graphs from Teachit Maths - Mistletoe too Lines.

Finally, always wondered which countries utilization y = mx + c annotation too which countries utilization something different? Check out this map.








Animations Together With Simulations

Last night's #mathschat discussion close images gave me in addition to therefore many practiced teaching ideas, I woke upward at 2am to write a list! One affair that came upward was animations. I dear a practiced animation that demonstrates a concept beautifully, in addition to therefore here's a few examples.

blog post) and judging past times the let on of retweets, I gauge others similar it every bit much every bit I do. There's to a greater extent than gifs similar this here

The animation below shows how the outside angles of a polygon amount to 360o. Sometimes it's meliorate to purpose an animation that y'all tin sack suspension in addition to speak through though, in addition to therefore I prefer this animation for outside angles of a polygon. Absorb Learning is an fantabulous website for animations.
Another instance of an animation y'all tin sack suspension during teaching is this 'bisecting an angle' tool. It comes alongside both a clear teaching canvass for students in addition to associated proofs. There are similar pages for every possible construction! As I mentioned inwards a previous post, I loathe teaching constructions, in addition to therefore I honour this real helpful.

Here's some other maths gif. This 1 is for demonstrating the properties of parabolas, every bit taught inwards Further Maths. This tin sack also locomote demonstrated nicely using Desmos.

I also desire to get upward PhET simulations. I don't instruct mechanics exactly I'm told that PhET has lots of bully interactive simulations for demonstrating concepts. 'Balancing Act' is a practiced example. They also convey simulations for Key Stage iii topics such every bit fractions - run across the full maths alternative here. The simulations tin sack locomote downloaded in addition to run from your schoolhouse network. 

Balancing Act - PhET

Aren't nosotros lucky to convey such fantabulous applied scientific discipline to heighten our teaching?

If y'all know of whatever other practiced animations or interactive tools, delight comment below or tweet me.


Thursday, October 24, 2019

5 Maths Gems #7

Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Maths Gems 4? That was skillful too).

Another fantabulous interactive tool is 'Investigating Triangle Area' (via @mathslinks). My students are ever happy to convey that a right angled triangle is one-half a rectangle, but are non so easily convinced for non-right angled triangles. The tool illustrates the fact past times allowing students to rearrange triangles into rectangles (click on subdivide too and then rotate too interpret the exceed sections).

2. Estimation
Examples from estimation180.com
I've seen a lot of American teachers tweet close Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Every Math Teacher inwards the World Should Do This...Right Now!' by @nathankraft1 (shared amongst me past times @DianeMaths) y'all tin run across students working on whiteboards but about the classroom (I wishing my classroom was this big!).


Nathan enthusiastically says, 'When students are working on the whiteboards, I tin run across everything happening at once. It's similar I'm looking at the freaking Matrix. With a quick glance, I tin run across which students got it, which students are making kid mistakes, too which students receive got no sentiment what's going on. I tin apace position errors for students. I tin inquire a stronger educatee to help a struggling one. Once a educatee has the right answer, I yell, "Great! Erase it! Next problem!"'. His enthusiasm has rubbed off on me. I desire to endeavour it! And earlier y'all disregard this sentiment because y'all don't receive got a room total of whiteboards, deport inwards hear that whatever vertical surface will create - endeavour writing on windows or using Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards related post summarises the benefits of 'Vertical Non-Permanent Surfaces':
  • Improves visibility.
  • Allows for transfer of noesis but about the room.
  • Non-Permanent removes fearfulness of writing.
  • Formative assessment past times instructor at all times.
  • Teacher tin respond questions past times having students await at others work.

Influenza A virus subtype H5N1 related sentiment comes from Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Improving students' collaboration using acrylic sheets'. Jeremy suggests investing inwards clear acrylic sheets that students tin write on. Diagrams, pictures, axes etc tin live on seat underneath. Read his post service for to a greater extent than on this, it actually is a vivid idea.

Next week
A lot of my readers volition live on at La Salle Education's maths conference adjacent week. I’m actually looking frontwards to it. Please come upward too tell howdy if y'all location me. Bear inwards hear that I receive got a 3 calendar month quondam babe who rarely sleeps, so if y'all run across me doze off at whatever betoken too then but laissez passer me a nudge.

I withal promise to write a maths gems post service adjacent week, it volition live on a twenty-four hours belatedly but hopefully total of ideas shared at the conference.

By the way, if y'all didn't grab my concluding post service 'Common practise of successful departments' too 'What I learnt today' - both are good worth a read, especially for teachers of Influenza A virus subtype H5N1 marker maths.

Influenza A virus subtype H5N1 lot of the inspiration behind today's maths gems has come upward from teachers' blogs - I'm incredibly grateful to those who convey the fourth dimension to part their ideas too experiences for the create goodness of others.

1. Interactive Areas
Computer-based tools receive got made it easier to explicate some mathematical concepts too generate interesting questions. It's fantastic when technology enhances too enriches mathematics education.
I of late tweeted this colourful example which shows that nosotros tin cutting a circle into sectors too rearrange them to create upward one's hear the expanse (taken from @edfromo's Google+ post). @fmaths42 replied amongst this vivid applet which illustrates the same matter inwards really clear interactive steps. Never earlier receive got I seen the formula for the expanse of a circle explained so clearly (and did y'all run across the 'proof without words' video inwards Practical tips for a (newly) qualified maths teacher' too then create receive got a look.  It was a pop post service inwards which I shared some ideas for getting organised, so it's non but for NQTs.

5 Maths Gems #8

I enjoyed coming together many of you lot at La Salle Education's National Mathematics Teacher Conference yesterday. It was a fantastic chance for sharing ideas. But 500 maths teachers out of 350,000 is a drib inwards the ocean. It's such a shame that thus many schools weren't represented.

Although in that place are some pockets of collaboration throughout the UK, for example through regional TeachMeets, the fact is that the bulk of U.K. maths teachers alive inwards a bubble. Through no error of their own, they know really lilliputian almost approaches taken inwards other schools - including pedagogy, curriculum blueprint together with novel technologies. Twitter is business office of the solution, but it doesn't brand it enough.

this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all here.

1. Paint! And my ideal classroom
smartwallpaint.com
I was talking to a friend almost the 'Vertical Non-Permanent Surfaces', magic whiteboards together with acrylic sheets I featured inwards this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all my concluding gems post and he told me almost something wonderful. He industrial plant inwards a novel schoolhouse where all the classroom walls are painted amongst whiteboard paint. So he has no whiteboards inwards his room (other than the interactive board), but he - together with his students - tin write on whatever wall.

This got me thinking almost my ideal classroom. I'd receive got all the walls painted amongst whiteboard pigment (student run would endure proudly displayed inwards the corridors instead of inwards the classroom). I similar the thought of students sitting inwards a horseshoe when I teach, similar inwards the flick below. I mean value this would halt low-level disruption together with would encourage meliorate cast discussion. They could also do independent practise inwards these chairs.

hyperspacellc.com
Separate to this horseshoe I'd receive got a collaboration area, amongst grouping tables that tin endure written on (whiteboard pigment industrial plant on desks too!), or this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all acrylic sheets.

The rooms I currently learn inwards are also minor for me to easily accomplish every educatee piece they're working, thus fifty-fifty simply a lilliputian to a greater extent than infinite would run wonders.

2. Indices
If you're looking for a novel approach to teaching index laws, you lot powerfulness bask 'this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all logarithms.

Once you've taught indices, elbow grease my index laws homework together with fractional/negative indices homework.

3. ThingLink
this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all Mathematical Concepts Wall' yesteryear this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all Samuel S. Wilks said,"Statistical thinking volition ane solar daytime endure every bit necessary for efficient citizenship every bit the powerfulness to read together with write!" (he was paraphrasing HG Wells). Although through our curriculum nosotros learn students how to do together with translate a diverseness of graphs, I'm non convinced that 'the full general public' are able to brand feel of many of the graphs they catch inwards the media. I mean value it's worth spending some fourth dimension looking at both misleading graphs together with interesting graphs.
Ridiculously misleading graph
Interesting graphs promote nifty discussions. Give your students some fourth dimension to await at the graph, run out what it shows together with thus mean value almost the underlying trends or causes. Here's a pair to acquire you lot started.
Source: 'How nosotros believe' yesteryear Micheal Shermer

Source: ONS
The 2nd graph is from '8 Facts almost Young People' yesteryear the ONS, shared this calendar week by @statshan.

Speaking of interesting graphs that spark discussion, you lot must read this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all teaching identify value. I dearest posts amongst lots of ideas together with resources recommendations for a specific topic - they're really useful for lesson planning (I've written a few topic specific posts too).

Second, I desire to bring upward this post, "in high performing countries teachers pass 30% of their fourth dimension teaching, amongst the residue spent planning, preparing together with assessing every bit good every bit working on improving their practice. Compared to the UK, where it’s 90%".

This weekend, 500 maths teachers gave upward a precious Sabbatum to larn from each other. I'm really grateful to La Salle Education for providing that opportunity. To me it farther highlighted the demand for cross-school subject-specific collaboration during term-time. Instead of spending our Inset days hearing almost our schools' latest marker policies, nosotros should all endure out having mini-conferences of our own. Let's promise that when our novel Maths Hubs acquire dorsum from their trips to Shanghai, improving collaboration is come about of their listing of priorities - together with yesteryear that I hateful collaboration amongst all schools, non simply the schools amongst tweeting teachers or a proactive Head of Maths.

Now for my weekly maths gems. For those who receive got simply started reading my blog, this is where I portion 5 nifty ideas that I've seen on Twitter each week. If you lot desire to read whatever of my previous gems posts, they're all revision races. This is ane of those posts that non exclusively provides a fantastic resources but also clearly explains how to role it effectively.

Finally, I desire to recommend @fmaths42's post service almost times tables starters which provides a ready of progressively challenging practise grids, summation a proposition to impress these grids onto stickers. Times tables are rather helpful so I'd urge you lot to ignore Jo Boaler's advice almost non ensuring that children larn their times tables - sure as shooting she must receive got said that inwards a 2nd of madness. Read @websofsubstance's post service The Educators - Jo Boaler for some interesting (in my sentiment - really sensible) views on this.

Finally, receive got a acquire at this query from Tony Gardiner's session at yesterday's conference, shared yesteryear @mrsdenyer. I'll endure using this every bit a quick starter amongst both Year xi together with Year 12.


PS - I'm off to Center Parcs tomorrow (term-time holidays are a huge payoff of beingness on motherhood leave!) thus in that place won't endure a gems post service side yesteryear side Saturday. I'll endure dorsum the next calendar week though. 

5 Maths Gems #11


I've got roughly vivid gems for y'all this week. As park Twitter has been on overstep form.

1. Quick Key
Last calendar week I wrote almost Plickers, which is an app y'all tin role inward the classoom for formative assessment - y'all need a device merely your students don't. Today I'm suggesting roughly other app that y'all tin role for assessment - Quick Key. With this app y'all tin laid multiple selection homeworks or tests in addition to grade them inward seconds past times scanning the answer sheets ('Quick Tickets') with your phone.

Quick Key is the conception of American instructor Walter Duncan (@4_teachers). It "turns your cry upwardly into a scanner in addition to eliminates hand-grading of assessments, fifty-fifty for teachers working inward paper-based classrooms without a estimator or internet. Analytics in addition to information exports are easy, thence y'all tin focus on your students".

My initial thoughts were that although this app could last real useful (less fourth dimension spent marking = to a greater extent than fourth dimension spent planning character lessons), it won't allow me to banking concern gibe students' methods, which limits opportunities for useful feedback. But for straightforward cognition checks, to inform me how much my students know, it would function real well.

But thence I read this post almost it. Find the Factors is designed by @IvaSallay who says it's an splendid means for children in addition to adults to review multiplication facts, role logic, in addition to strengthen encephalon power. The puzzles are based on a multiplication grid where most of the numbers possess got been removed. The grid tin last completed using logic in addition to cognition of factors - inward the illustration below y'all could commencement past times completing the 2 circled cells. The puzzles come upwardly inward varying levels of difficulty, as explained here. Find the Factors has already been real pop with tweeters who've tried it this week.

4. Chalk Pens
Kev Lister ‏(@ListerKev)tweeted almost chalk pens. I've written almost writing on desks, windows in addition to walls before, merely these are novel to me. Kev says the chalk wipes off non-porous surfaces easily with a damp cloth. He uses these pens to write targeted questions or render scaffolding for selected students. I mean value my boss would last happier with me writing on desks with these rather than whiteboard markers.

5. Alternative Number Line
I'm reluctant to include 2 ideas from Ed Southall (@solvemymaths) inward 1 post, merely he's a legend thence I'll allow it... In the same means the maths clock inward my kitchen makes a neat talking betoken for guests to my house, his alternative break line should last displayed inward Influenza A virus subtype H5N1 degree classrooms - students (and teachers!) volition last intrigued. Mr G Walton (@mr_g_walton) has made a fantastic header to larn with it.

Stuart Price (@sxpmaths) suggests making an activity out of this - cutting the break job upwardly in addition to give it to your Year 13s thence they tin variety it into order. They may non last familiar with roughly of the tone merely it's a adept chance for interesting discussions (I constitute out how to read ternary to sympathise Ed's selection for break 5. I'd also non seen flooring in addition to ceiling tone before).

Stuart also suggests that students pattern their ain break lines. I honey this thought - it would function with students of whatever age, from main schoolhouse to university. It's like to an activity I suggested inward my reflection stickers. Students stick a 'Not withal yeti' or 'I got it' sticker inward their mass to permit y'all know whether they've understood the work.

Speaking of stickers, Adil Jaffer (@adil_3) shared his fantastic feedback stickers thence y'all don't possess got to buy the farm on writing the same affair all the fourth dimension when you're marking.

One of the post pop tweets I saw this calendar week was from @MathedUp who shared his fantastic 'request a selfie' idea. I tin come across this actually improving the character of students' function - many of my students would honey the chance to print their parents. If y'all role iDoceo thence it's slowly to accept a motion painting on your iPad in addition to electronic mail it to a parent.
Did y'all come across these practise books, tweeted by @dandesignthink? The boxes at the bottom of the pages incorporate a checklist (accuracy, spelling, grammar), telephone commutation words, farther questions, telephone commutation points, what went well, in addition to feedback. An 'Exercise mass 2.0' costs 50p - amount details are available here. There's also a maths version - Maths mass 2.0 is every bit awesome. I wishing I had a budget to pass because I'm desperate to guild these!


The to a greater extent than I role Twitter, the to a greater extent than inclined I am to hashtag everything I write (or say!). I possess got to confine myself from putting hashtags inward text messages to my hubby ('what do y'all desire for dinner tonight? #pleasesaytakeaway'). It's overnice to come across that I'm non lonely - Cathy Yenca (post almost it. Find the Factors is designed by @IvaSallay who says it's an splendid means for children in addition to adults to review multiplication facts, role logic, in addition to strengthen encephalon power. The puzzles are based on a multiplication grid where most of the numbers possess got been removed. The grid tin last completed using logic in addition to cognition of factors - inward the illustration below y'all could commencement past times completing the 2 circled cells. The puzzles come upwardly inward varying levels of difficulty, as explained here. Find the Factors has already been real pop with tweeters who've tried it this week.

4. Chalk Pens
Kev Lister ‏(@ListerKev)tweeted almost chalk pens. I've written almost writing on desks, windows in addition to walls before, merely these are novel to me. Kev says the chalk wipes off non-porous surfaces easily with a damp cloth. He uses these pens to write targeted questions or render scaffolding for selected students. I mean value my boss would last happier with me writing on desks with these rather than whiteboard markers.

5. Alternative Number Line
I'm reluctant to include 2 ideas from Ed Southall (@solvemymaths) inward 1 post, merely he's a legend thence I'll allow it... In the same means the maths clock inward my kitchen makes a neat talking betoken for guests to my house, his alternative break line should last displayed inward Influenza A virus subtype H5N1 degree classrooms - students (and teachers!) volition last intrigued. Mr G Walton (@mr_g_walton) has made a fantastic header to larn with it.

Stuart Price (@sxpmaths) suggests making an activity out of this - cutting the break job upwardly in addition to give it to your Year 13s thence they tin variety it into order. They may non last familiar with roughly of the tone merely it's a adept chance for interesting discussions (I constitute out how to read ternary to sympathise Ed's selection for break 5. I'd also non seen flooring in addition to ceiling tone before).

Stuart also suggests that students pattern their ain break lines. I honey this thought - it would function with students of whatever age, from main schoolhouse to university. It's like to an activity I suggested inward my Open Evening post where y'all concur a 'design a maths clock' competition. The clock pictures below are all taken from sbcrafts.net where y'all tin banking concern gibe out a big arrive at of clock break ideas that could also last used on break lines.

And finally...
Algebraic long partition is fun when y'all know how to do it, merely it tin last a flake tricky to learn to Year 12. It's overnice to know in that place are option methods. I've factorised polynomials past times inspection earlier merely non using a grid as suggested by post almost it. Find the Factors is designed by @IvaSallay who says it's an splendid means for children in addition to adults to review multiplication facts, role logic, in addition to strengthen encephalon power. The puzzles are based on a multiplication grid where most of the numbers possess got been removed. The grid tin last completed using logic in addition to cognition of factors - inward the illustration below y'all could commencement past times completing the 2 circled cells. The puzzles come upwardly inward varying levels of difficulty, as explained here. Find the Factors has already been real pop with tweeters who've tried it this week.

4. Chalk Pens
Kev Lister ‏(@ListerKev)tweeted almost chalk pens. I've written almost writing on desks, windows in addition to walls before, merely these are novel to me. Kev says the chalk wipes off non-porous surfaces easily with a damp cloth. He uses these pens to write targeted questions or render scaffolding for selected students. I mean value my boss would last happier with me writing on desks with these rather than whiteboard markers.

5. Alternative Number Line
I'm reluctant to include 2 ideas from Ed Southall (@solvemymaths) inward 1 post, merely he's a legend thence I'll allow it... In the same means the maths clock inward my kitchen makes a neat talking betoken for guests to my house, his alternative break line should last displayed inward Influenza A virus subtype H5N1 degree classrooms - students (and teachers!) volition last intrigued. Mr G Walton (@mr_g_walton) has made a fantastic header to larn with it.

Stuart Price (@sxpmaths) suggests making an activity out of this - cutting the break job upwardly in addition to give it to your Year 13s thence they tin variety it into order. They may non last familiar with roughly of the tone merely it's a adept chance for interesting discussions (I constitute out how to read ternary to sympathise Ed's selection for break 5. I'd also non seen flooring in addition to ceiling tone before).

Stuart also suggests that students pattern their ain break lines. I honey this thought - it would function with students of whatever age, from main schoolhouse to university. It's like to an activity I suggested inward my The Art of Collaboration', it's ever neat to listen when these ideas larn far into classrooms. Have a neat half-term interruption everyone!



Back To School

In 2 weeks I'll provide to schoolhouse from motherhood leave. I've done this before, only non mid-way through a schoolhouse year. I'll exclusively last working 3 days a calendar week only instruction 8 dissimilar classes, all shared amongst approximately other teacher. It's going to last a challenge.

On locomote past times of the anxieties associated amongst instruction lessons for the commencement fourth dimension since May, I'll last getting my 7 calendar month sometime infant settled into plant nursery - I know from experience that this tin last hard together with emotional. Although these challenges are a footling daunting, I'm excited to essay out all the novel instruction ideas that I've picked upward from all the blogs together with tweets I've read over the final half dozen months. I'm going dorsum to schoolhouse amongst fresh enthusiasm for instruction maths. In this post service I desire to country you lot most a few of the things I've got lined upward for January.

1. Exercise Books
I despair when I encounter teachers spending their hard-earned meagre salaries on supplies for work, only I'm guilty of it too. I've stocked upward on pretty stationery, folders, board pens, post-it notes... together with this fourth dimension I've gone a pace farther together with bought my ain exercise books!

As an experiment, I'm going to essay out these maths books 2.0 from Design Thinking. One of the features of these books is the checklist, commutation words, farther questions together with commutation facts sections at the bottom of each page. I recollect my students volition dear having these exceptional books together with volition accept to a greater extent than pride inwards their work. I also recollect I'll aspect frontwards to marker these books (at first!), to encounter what words, facts together with questions my students have got chosen to write inwards the boxes.
Including stamp these toll me £40 for threescore books so I'll essay them amongst 2 classes together with encounter how it goes. I'm crossing my fingers that they brand it inwards fourth dimension for the start of term! (and that my hubby doesn't discovery out that I spent my ain coin on supplies for school!).

2. Expectations
I'm planning to laid out my presentation expectations amongst all my students at Key Stage 3 together with 4 using a poster: 'gems 14 for details.
3. Hashtag Marking
I featured my ideas for hashtag marker inwards gems 12. I'm planning to have got a become at this - each of my students at Key Stage 3 together with 4 volition last issued amongst a Hashtag Marking Key (I'll impress it on A5 so they tin stick it inwards their maths mass or planner). I have got a feeling I'm going to have got a huge marker workload this twelvemonth so hopefully this volition salvage me approximately time.
Extract from Hashtag Marking Key
4. Work Review Log
Based on an thought inwards this tweet, I programme to innovate a feedback log at Key Stage 5. I commonly laid a slice of assessed locomote for my H5N1 bird students every week. I ever position a lot of endeavor into providing written feedback, so I'd similar to ensure my students are reading together with reflecting on my comments. I'll inquire them to proceed this Work Review Log at the front end of their folders together with I'll laissez passer on them an chance to consummate it every fourth dimension I provide a slice of work.
Extract from Work Review Log
The other thing I desire to produce amend this twelvemonth is ensuring that my H5N1 bird students are doing homework on their own. I'm happy for my students to aid each other inwards course of study together with on non-assessed homeworks (eg 'finish the textbook exercise'), only if I laid a slice of locomote for marker it should last reflective of each student's private bird of understanding, non that of a grouping of friends. In the past times I've had 6th shape students getting As inwards their homeworks throughout the twelvemonth (because they have got a clever friend, or fifty-fifty a tutor) together with and so doing terribly inwards their actual exam.

5. Mistake Log
All my students volition have a Mistake Log to stick inwards the front end of their mass or folder. The thought is that whenever they brand a mistake, whether because of a careless sideslip or a misconception, they tape that mistake. Again, similar the Work Review Log, I promise it helps ensure that students are reading my feedback together with reflecting on how they tin improve. I recollect they'll discovery this log useful when they come upward to revise.

6. #ByYourSide
I actually recollect every instructor should ensure their dependent area cognition is upward to scratch every bit a affair of priority. And what amend chance to bear witness your ain dependent area cognition than sitting the qualification that you're responsible for teaching? I promise to sit down the Maths GCSE exams amongst my students this summer. I recollect they'll appreciate the human activity of solidarity, together with hopefully my instruction volition produce goodness too. Although I'm really confident of my GCSE knowledge, I'll experience huge pressure level to larn 100% so I amend last careful non to brand whatever dizzy mistakes! I also intend to sit down H5N1 bird maths this summer. This is a much scarier prospect. For C3 (which I've never taught) together with C4 I'll sure have got to revise together with practise. I'm convinced this volition brand me a amend H5N1 bird teacher. I already fearfulness beingness stumped past times a tricky C4 integration question! I did a statistics grade so haven't studied pure maths since I did my H5N1 levels inwards 1999. But if I instruct it together with so I should know it similar the dorsum of my manus shouldn't I? I promise I larn permission to produce these exams because I recollect it volition last a actually worthwhile exercise. Anyone amongst me? :)

7. Apps
I'm thinking most taking my iPad into school, if I tin prise it away from my toddler. I'm actually non bad to essay Idoceo because teachers on Twitter rave most it. But my schoolhouse has started using Mint Class this twelvemonth together with I desire to avoid duplication. So Idoceo mightiness have got to hold off until side past times side September, when I'll last at a novel school.

I'm also non bad to essay Plickers together with Quick Key, both of which I've written most inwards my gems posts, together with I'm considering using iVisualiser too.

8. Resources
I've been lucky plenty to have a brace of lovely freebies late - ane of my favourite resources websites MathsPad have given me a gratuitous subscription that I can't hold off to use! I'm also interested in Create a Test. The prissy people at Create a Test have got given my schoolhouse a 3 calendar month gratuitous lawsuit of their test-writing tool. I wonder whether other schools are inwards the same province of affairs every bit us - nosotros laissez passer on all our Key Stage 3/4 students 3 or 4 tests a twelvemonth (including an goal of twelvemonth exam) together with this is how nosotros create upward one's heed maths sets for the side past times side twelvemonth (I should cite at this yell for that I'm non supportive of a 'teach to the test' civilization inwards maths together with would dear to listen option approaches). Anyway, because these are 'high stakes' tests, nosotros desire to avoid whatever run a jeopardy of papers beingness seen inwards advance, so nosotros create novel tests every year. This is actually fourth dimension consuming so we'd produce goodness from a skillful character test-writing tool amongst a large depository fiscal establishment of questions. I'll study dorsum on how we're getting on amongst Create a Test inwards a brace of months.

So that's a few of the highlights of my electrical flow 'going dorsum to school' resources together with plans. Now I have got the most of import thing to produce - I postulate to start planning my lessons. I'll last doing circle theorems amongst Year 10, which is convenient because I late wrote a post service most instruction circle theorems. Unfortunately I've also been assigned 'constructing triangles' amongst my Year 8s - my to the lowest degree favourite topic inwards the world! Any ideas to brand this to a greater extent than bearable would last gratefully received!