Showing posts with label Number. Show all posts
Showing posts with label Number. Show all posts

Friday, October 25, 2019

Your Commencement Maths Lesson Amongst Twelvemonth 7

A Year 7's first ever maths lesson inward secondary schoolhouse is rather daunting. For both the students and the teacher. As this is the fourth dimension of yr when many maths teachers volition live on planning those firstly lessons, I thought it mightiness live on helpful to advise only about ideas.

With a novel Year seven class, the firstly lesson is non only almost setting expectations almost behavior together with the like, it’s also almost getting your students excited almost maths together with edifice their confidence. It’s almost helping them to chop-chop settle into their novel environment. And - on a to a greater extent than practical banknote - it’s almost learning their names.

First I’ll speak y'all through my suggestions for that firstly Year seven lesson, thus I’ll percentage only about ideas suggested past times other teachers. And I’d beloved to take away heed your ideas too.

A spot out lesson
As students arrive, greet them at your classroom door together with manus them a carte du jour or sticker alongside a spot out on it. I advise the numbers 1 – thirty but whatsoever numbers volition work. While they notice their seats, an educational activity on the board tells them to retrieve almost the properties of their spot out (bear inward heed they mightiness non know the pregnant of the word belongings inward this context).

Tell students to stand upward up together with agree their carte du jour upward if they convey a multiple of 5. Each educatee standing upward says their holler together with spot out inward plow (one of the benefits of this action is that y'all - together with their classmates - larn their names). Ask 1 of the students standing to define the word multiple.

Now produce the same for diverse spot out properties eg ‘stand upward if y'all convey a element of 24’, ‘stand upward if y'all convey a prime number’, ‘stand upward if y'all convey a foursquare number’ together with thus on. There are diverse give-and-take points relating to the definitions, such equally whether 1 is a prime number. You acquire the idea. Try to adapt it thus each pupil stands upward at to the lowest degree twice, to assist alongside the holler learning.

There’s diverse other activities y'all could move alongside students when they convey spot out cards. Perhaps acquire the pupils alongside numbers three – 8 to draw of piece of job upward at the front end together with inquire the shape to holler the polygons alongside each spot out of sides. It volition live on encouraging if y'all start the yr past times letting students percentage alongside y'all only about of the maths they already know. But y'all could also give them a gustation of the exciting novel maths to come. For example y'all could inquire the students alongside the cards 1, 2, 3, 5, 8, thirteen together with 21 to stand upward inward fellowship at the front end of the shape together with inquire their classmates to spot the designing (add an extra 1 at the beginning!). It's unlikely they would convey seen Fibonacci before.

Sticking alongside the spot out theme, y'all could try:

30 Maths Starters - Puzzle 2

If y'all desire the shape to settle alongside only about private or distich activities, endeavor only about of these '30 Maths Starters'. I advise activities 2 together with nine.

And how almost a overnice game of Fizz Buzz to halt the lesson?

If y'all convey administrative bits to produce alongside the class, such equally handing out books, they could hold back until adjacent lesson.

More ideas
Here are a few ideas I've flora online:
  • Try these Ordering past times Numbers activities past times Frank Tapson 
  • I similar 'Back to School' past times Transum
  • Suffolk Maths suggests lots of expert ideas for a Year seven transition lesson. This includes 'Stand Up' - which is similar to my suggestion. Whenever I retrieve I've been creative together with master copy I notice that someone's already thought of the same ideas! :)

While looking for these lessons, I flora this 'Moving on inward my Mathematics - Year half dozen to Year 7' booklet that y'all may live on interested in.

Craig Barton's blog post on transition inward secondary maths is a must-read for novel Year seven teachers. I know that my Key Stage three teaching would live on improved if I knew to a greater extent than almost what children comprehend at principal school.

And finally, here's only about to a greater extent than ideas for learning names!

A level
I promise that’s been helpful. Please comment if y'all convey your ain ideas to share. My adjacent postal service volition live on almost the firstly Year 12 lesson of the year.




Thoughts On Didactics Fractions

Fraction misconceptions - MathsPad
Yuvraj (@YuviLite) asked me to write a post service virtually teaching fraction addition. I similar a challenge! Fractions are notoriously hard to teach, riddled alongside misconceptions as well as crucial to acquire right. If I were to endure thorough on this topic, I’d demand to create a hell of a lot of research as well as write a dissertation length weblog post.

I for sure haven't been that rigorous, but I accept works life a few ideas. First read what Yuvraj has written virtually difficulties inwards teaching fractions, as well as thus accept a hold off at my ideas at the end.


When I hear students utter the phrase, ‘uh no non fractions’ a pocket-sized phonation buried deep inwards my subconscious feels the same thing. Fractions is 1 of those topics which seems to endure on the system of function for EVERY twelvemonth as well as yet in that place are nevertheless thus many students who are befuddled yesteryear them as well as this is 1 of the reasons I accept been thinking virtually how I learn the topic.

I am a instructor who believes inwards developing agreement as well as non exactly only reducing mathematics to a serial of procedures. I accept e'er thought this as well as it was drummed into me on my PGCE as well as Masters. Yet fractions has brought me to a crossroads. Before I tell you lot why, allow us hold off at dissimilar strategies of teaching the improver as well as subtraction of fractions. 

The Cross Multiplying (Butterfly Method). This is the 1 I was taught at school. I had no agreement of why it worked but it got me the correct answer as well as at that historic menstruum that is all I cared about. To add together 2 thirds as well as 3 quarters nosotros would multiply the denominators together as well as thus cross multiply the numerators and denominators as shown below.

The Grid Method. I of late discovered this option procedural method. Draw a grid equally shown below. The starting fourth dimension fraction is written on the top as well as the instant along the side. A plus sign is set inwards the starting fourth dimension box equally this is the functioning nosotros desire to comport out. We set the products of the other numbers into the grid. We as well as thus depict around the highlighted boxes as well as this would give us our numerator, inwards this instance 8 + nine = 17. The white box would endure our denominator.
Fraction Strips. In NixTheTricks, the role of fractions strips is advocated to learn the improver as well as subtraction of fractions. For representative to add together a one-half as well as a quarter we would start alongside visual representations equally shown below.
When nosotros set the one-half as well as quarter together nosotros can't limited this equally a unmarried fraction without cutting the pieces into equal parts (quarters inwards this case). The thought hither is that the agreement of a mutual denominator is built upward as well as linked to the method for adding fractions.

Paper Folding. This method is from Mike Ollerton’s fantabulous ‘Getting The Buggers To Add Up’ - read the explanation here (or purchase the book!). 

Fraction Wall. I accept also seen teachers role fraction walls to aid students equally a method of identifying equivalent fractions. Some people role this or shapes to acquire the thought of equivalent fractions across.

My Dilemma
I accept e'er gone downwards the conceptual route. I accept championed the conceptual route, until I got to algebraic fractions. The conceptual route e'er seems to Pb dorsum to the to a greater extent than procedural route, especially for fractions where the denominators are 2 dissimilar prime numbers, as well as for algebraic fractions. If students are to a greater extent than used to the procedural route, they should inwards theory endure able to able this physical care for for algebraic fractions.

Which has led me to question: is it worth the hurting of rewiring students who e'er seemed to accept heard of the cross multiplication method fifty-fifty earlier they accept reached me (even the Year 7s)? I accept spent many hours struggling alongside folding bits of newspaper as well as sharing cakes to embed the thought of equivalent fractions. 

Is it plenty exactly to explicate why the cross multiplication or grid method works as well as and thus ensure fluency inwards the skill?


Thanks Yuvraj. I wonder the same thing. In many topics nosotros fighting to respect the correct residuum of conceptual agreement vs procedural methods. Us pathetic maths teachers are forever fretting virtually it.

My preferred procedural method, for both numerical as well as algebraic fractions, is the no-frills version (find the lowest mutual multiple of the 2 denominators, as well as thus convert both fractions to equivalent fractions alongside that denominator, as well as thus add together the numerators). It works for me, but I learn high powerfulness pupils thus I accept a relatively slow life.

Now for a few teaching ideas. I’m non trying to solve the world’s fraction problems, but I promise you lot may respect some interesting activities hither for your fractions lessons.

Don Steward is a Genius
subtracting fractions activity inwards which students hold off at the diagram below as well as figure out what's going on. As Mr Steward says, this gives the instructor fourth dimension to drinkable their tea! It's a truly clear agency to explicate fraction subtraction using mutual denominators.


Misconceptions as well as Assessment
This blog has some vivid ideas for identifying fraction misconceptions which powerfulness endure peculiarly helpful when you lot start tackling fractions alongside a Year vii class. For example, the author asked his students to explicate what's incorrect inwards each of the 3 pictures below as well as got some interesting responses.
You could as well as thus inquire students to role the same shapes as well as respect an accurate agency to correspond the fractions indicated. Other ideas inwards this weblog include bespeak the students to consummate the sentences 'Fractions are...', 'When you lot add together 2 fractions you lot accept to...' as well as 'You role fractions when you...'. Or fifty-fifty inquire pupils to write downwards 'Everything I Know virtually Fractions' as well as write a listing of what they'd similar to learn. These activities volition aid you lot create upward one's hear your starting dot inwards Year 7. The blog is good worth a read.

Manipulatives as well as Visual Aids
Yuvraj already touched on visual aids. I retrieve beingness told during my PGCE that I only must role Cuisenaire Rods, but non truly having a clue what to create alongside them. There's whole books written virtually this! I works life explanations here as well as here - the method seems rather overcomplicated. But if they appeal to you, as well as thus Nrich provides this online tool for demonstrating Cuisenaire Rods on the Interactive Whiteboard.

This website has a lot of skilful materials on fractions as well as visual aids, including downloadable fraction circles.

‘Number 1 inwards disguise’
Look at the 'NOID' poster below. Yes, it is quite ridiculous. But it’s really slow to follow the thinking hither as well as I wonder if this explanation (or similar) would aid railroad train students' understanding. If you’re looking something a niggling less NOIDy for teaching improper fractions as well as thus this weblog post has some fantabulous ideas using manipulatives.
From cindywhitebcms.blogspot.com
Division
'Ours is non to argue why, ours is but to inverse as well as multiply'. This made me express joy because I've never attempted to explicate fraction partitioning to my pupils beyond the 'KFC' dominion (keep, flip, change). Don Steward has written an fantabulous post virtually ways to explicate why it works - this one from moveitmaththesource.com peculiarly appealed to me. I'll top away on this inwards my dorsum bag inwards instance ever asked the question.
Final thoughts
I'm afraid I don't accept the answer to how best to railroad train conceptual understanding, but in that place may endure some ideas hither that you lot haven't seen before. In price of resources, there's tonnes of worksheets, games as well as activities online - run across my resources library for some recommendations. For to a greater extent than teaching ideas, here's some farther reading:
Thank you lot thus much to Yuvraj for his helpful input to this post. Comments as well as tweets would endure much appreciated - we'd dearest to hear your ideas.

Fraction hopscotch inwards the maths corridor - from cisdmathmusings.blogspot.com



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 #9

Because I didn't write a gems postal service final weekend, imagine how much I receive got to tell y'all most today! Quick - let's acquire started...

1. Hula Hoops
Who needs technology scientific discipline when y'all tin stick a hula hoop on the board? This uncomplicated idea, shared by @emziecampbell, is for instruction children to tell the time. It would function good for other circle-based topics too. Stick a hula hoop on the board together with purpose it to instruct circle theorems. Stick 2 or 3 on the board to brand a Venn diagram. Hula hoops receive got novelty value, practical application together with toll a mere £2.
2. Stuck Post-Its
Another uncomplicated all the same effective idea, this fourth dimension from @Misswrenmaths: 'stuck post-its'. Sometimes when students are completing exercise questions inward class, y'all terminate upwards repeating yourself numerous times every bit y'all displace from educatee to student. Instead, topographic point the questions on the board together with enquire students to stick a named post-it Federal Reserve notation on whatever questions they ask assist with - together with hence they tin comport on with the remainder of the exercise without having to human face with their manus up. For instance the pic below shows that you'd ask to assist 1 educatee individually with query 9, simply it may move worth going through query 10 with the whole class, or gathering a grouping together to beak over it.

This technique stops duplication of endeavour together with helps the instructor assess understanding, addition it has the produce goodness of getting students out of their seats, albeit briefly. Read the fascinating postal service 'A veteran instructor turned charabanc shadows 2 students for 2 days – a sobering lesson learned' from @grantwiggins and you'll come across why this is important. Influenza A virus subtype H5N1 picayune flake of movement keeps students alert.

While I'm on the bailiwick of post-it notes, I should cite a cool novel app 'Post-it Plus' that was suggested by @dazmck. With this gratuitous app y'all tin receive got a photograph of a wall of post-it notes together with and hence organise them digitally on your telephone or tablet. Amazing.

3. Trig for Victory
@mr_g_walton demonstrated his brilliant inventiveness with his 'Maths Propaganda' posters.

Every poster is first-class hence it was difficult to pick out 3 examples for this post!

In add-on to the posters, Mr Walton suggests revision cards inward the shape of ration booklets together with a schoolhouse broadcast past times the Ministry of Maths! Fantastic ideas. All xvi editable posters together with associated resources tin move downloaded here. Credit also to @El_Timbre for inspiring the 'Trig for Victory' poster.

4. Parabolic Multiplication
qedcat.com
If y'all were at the recent Maths Conference inward Kettering together with hence y'all may receive got been interested inward Johnny Ball's parabolic multiplication. This involves drawing a trouble from 1 betoken on the graph of y = x2 to another. Two examples are shown inward the pic - the reddish trouble joins the numbers 3 together with 4, crossing the y-axis at 12, an the greenish trouble joins the numbers 2 together with 2, crossing the y-axis at 4. It's a bizarre multiplication method.

Influenza A virus subtype H5N1 sum explanation is inward this 'Cool Math Essay' from @jamestanton. The algebra is accessible together with satisfying. Figuring it out would brand a proficient chore for vivid GCSE students or 6th formers studying coordinate geometry.

If y'all reach off to move visiting Deutschland together with hence produce acquire to the Mathematikum. There y'all volition discovery a parabola drawn on a wall with a length of rope for visitors to necktie from 1 betoken on the parabola to unopen to other - the betoken at which the rope crosses the y-axis is the production (source: qedcat.com). Does anyone desire to receive got upwards the challenge of putting 1 of these interactive displays on their classroom wall? If so, delight shipping me a photo!

5. Counting Circles
There's been a lot of buzz alongside American teachers on Twitter most counting circles. This is a uncomplicated together with versatile activeness to railroad train divulge feel together with mental maths strategies. The master copy postal service A veteran instructor turned charabanc shadows 2 students for 2 days – a sobering lesson learned' from @grantwiggins and you'll come across why this is important. Influenza A virus subtype H5N1 picayune flake of movement keeps students alert.

While I'm on the bailiwick of post-it notes, I should cite a cool novel app 'Post-it Plus' that was suggested by @dazmck. With this gratuitous app y'all tin receive got a photograph of a wall of post-it notes together with and hence organise them digitally on your telephone or tablet. Amazing.

3. Trig for Victory
@mr_g_walton demonstrated his brilliant inventiveness with his 'Maths Propaganda' posters.

Every poster is first-class hence it was difficult to pick out 3 examples for this post!

In add-on to the posters, Mr Walton suggests revision cards inward the shape of ration booklets together with a schoolhouse broadcast past times the Ministry of Maths! Fantastic ideas. All xvi editable posters together with associated resources tin move downloaded here. Credit also to @El_Timbre for inspiring the 'Trig for Victory' poster.

4. Parabolic Multiplication
qedcat.com
If y'all were at the recent Maths Conference inward Kettering together with hence y'all may receive got been interested inward Johnny Ball's parabolic multiplication. This involves drawing a trouble from 1 betoken on the graph of y = x2 to another. Two examples are shown inward the pic - the reddish trouble joins the numbers 3 together with 4, crossing the y-axis at 12, an the greenish trouble joins the numbers 2 together with 2, crossing the y-axis at 4. It's a bizarre multiplication method.

Influenza A virus subtype H5N1 sum explanation is inward this 'Cool Math Essay' from @jamestanton. The algebra is accessible together with satisfying. Figuring it out would brand a proficient chore for vivid GCSE students or 6th formers studying coordinate geometry.

If y'all reach off to move visiting Deutschland together with hence produce acquire to the Mathematikum. There y'all volition discovery a parabola drawn on a wall with a length of rope for visitors to necktie from 1 betoken on the parabola to unopen to other - the betoken at which the rope crosses the y-axis is the production (source: Science and English) receive got shown an involvement inward this format too.

Last calendar week I also ran my kickoff A veteran instructor turned charabanc shadows 2 students for 2 days – a sobering lesson learned' from @grantwiggins and you'll come across why this is important. Influenza A virus subtype H5N1 picayune flake of movement keeps students alert.

While I'm on the bailiwick of post-it notes, I should cite a cool novel app 'Post-it Plus' that was suggested by @dazmck. With this gratuitous app y'all tin receive got a photograph of a wall of post-it notes together with and hence organise them digitally on your telephone or tablet. Amazing.

3. Trig for Victory
@mr_g_walton demonstrated his brilliant inventiveness with his 'Maths Propaganda' posters.

Every poster is first-class hence it was difficult to pick out 3 examples for this post!

In add-on to the posters, Mr Walton suggests revision cards inward the shape of ration booklets together with a schoolhouse broadcast past times the Ministry of Maths! Fantastic ideas. All xvi editable posters together with associated resources tin move downloaded here. Credit also to @El_Timbre for inspiring the 'Trig for Victory' poster.

4. Parabolic Multiplication
qedcat.com
If y'all were at the recent Maths Conference inward Kettering together with hence y'all may receive got been interested inward Johnny Ball's parabolic multiplication. This involves drawing a trouble from 1 betoken on the graph of y = x2 to another. Two examples are shown inward the pic - the reddish trouble joins the numbers 3 together with 4, crossing the y-axis at 12, an the greenish trouble joins the numbers 2 together with 2, crossing the y-axis at 4. It's a bizarre multiplication method.

Influenza A virus subtype H5N1 sum explanation is inward this 'Cool Math Essay' from @jamestanton. The algebra is accessible together with satisfying. Figuring it out would brand a proficient chore for vivid GCSE students or 6th formers studying coordinate geometry.

If y'all reach off to move visiting Deutschland together with hence produce acquire to the Mathematikum. There y'all volition discovery a parabola drawn on a wall with a length of rope for visitors to necktie from 1 betoken on the parabola to unopen to other - the betoken at which the rope crosses the y-axis is the production (source: Bridging the Gap to Influenza A virus subtype H5N1 level' featured inward this week's edition of Academies Week (thanks to @oldandrewuk) - I subscribe to this newspaper hence was rattling excited when it arrived inward the post.

I also featured inward the 'Behind the Mathematician' serial from @WorkEdgeChaos - writing that postal service was a slap-up chance for me to reverberate on my instruction together with mean value most what motivates me together with what I discovery challenging.

I desire to terminate today's postal service past times encouraging y'all to majority a ticket for @LaSalleEd's next National Maths Teacher Conference, which is on Sat 14th March 2015 inward Birmingham. Click here to majority your gratuitous ticket - I'll come across y'all there.


5 Maths Gems #12

This is going to last a relatively curt gems ship service because I'm exhausted from entertaining nineteen toddlers this afternoon at my daughter's 3rd birthday party. So I'll last brief today, but human face a lengthier ship service side past times side calendar week when I've recovered.

1. Area of a circle (again)
In my seventh gems post I shared an applet that beautifully demonstrates how to derive the surface area of a circle past times cutting it into sectors. This calendar week I establish a bright gif that shows the same thing.
This gif is taken from the animatics (animations + mathematics) section of @MathsChallenges' website. The thinking behind this method is neatly explained in Geometry: What is the intuition behind the formula for the surface area of a circle? which was shared this calendar week by @GeometryDad.

2. Standard form
'resources library has unopen to bully ideas.

3. Influenza A virus subtype H5N1 grade resources
I saw this tweet from @DrTrapezio...

as well as thence I checked this out as well as establish that the Cambridge Mathematics Education Project is inviting schools to register equally affiliates to gain early on access to their costless Influenza A virus subtype H5N1 grade maths resources nether development. I'm e'er on the human face out for Influenza A virus subtype H5N1 grade resources as well as thence I registered. There's loads of bully materials on the website as well as I human face forwards to seeing the collection develop. 

Some of the CMEP's resources are instantly featured on NRICH. For example, the question below is bright (and non equally difficult equally it looks...)

I too similar the 'always, sometimes, never' carte form 'Discriminating'.

Extract from Discriminating

And Parabella is a lovely occupation for your Year 12s studying coordinate geometry.

4. Operation Countdown
Influenza A virus subtype H5N1 combination of ideas as well as inventiveness from @LWmathsmatters, @EJmaths as well as @taylorda01 led to this splendid 'Operation Countdown'. I oftentimes role the 'four threes' action equally a plenary inward an monastic state of operations lesson alongside Year 7 but it plant alongside whatsoever historic menses group. I 1 time used it equally a Year xiii starter as well as they actually enjoyed it. The version below involves 5 threes but it's the same idea.
This painting demo is from @taylorda01@EJmaths also made this PowerPoint which includes a dark as well as white version.

5. #units #ruler #workings 
I read the ship service 'Hashtag closure' past times A identify for gimmicks?'). David's ship service is virtually using a hashtag to summarise a lesson. 

Then A Frenzy of Marking: 'Progress Over Time' virtually feedback stickers. When I mark, I create honour that I write the same thing over as well as over again, as well as thence stickers would salvage me a lot of time. Problem is, I'm non organised plenty to role stickers. I create my marker inward a multifariousness of locations as well as unremarkably simply receive got a cherry pen to hand. Hashtags volition operate simply equally good equally stickers, equally long equally my students sympathise the important of the hashtags.

When I grade I'm non succinct enough. For instance I oftentimes write 'please become to assist lodge at 1.30pm on Midweek inward Room 111 for assist alongside this topic'. Instead, I could write #helpclub. I too write things similar 'Look at the query - y'all were meant to circular your reply to 1 important figure'. I could simply write #rounding. My students volition learn what I hateful (especially if they receive got this key inward their practise books) as well as it volition salvage me loads of time. "What's the indicate inward the # symbol?" I take away heed y'all inquire - well, yes, the symbol isn't essential, but #MrsMorganLikesHashtags as well as they're non doing whatsoever impairment are they? :)

So that's it - 5 quick gems from a busy mathematical mum. I was planning to characteristic unopen to thoughts virtually the value (or lack of value) of iPads inward maths teaching today but didn't learn fourth dimension to create the inquiry required, as well as thence volition salvage that for my side past times side gems post.

I'm too planning to write a ship service virtually circle theorems side past times side week. I've got unopen to ideas but if you
receive got an interesting agency of teaching circle theorems or whatsoever amazing resources, delight allow me know.

Also, don't forget to banking concern friction match out my other website, prethomework.weebly.com - the extensive collection has grown over half-term.

I'll exit y'all alongside a base of operations eleven abacus which I recollect is cute but volition annoy @solvemymaths (see his ship service 'My Base eleven Abacus Bugbear').