New GCSE textbooks from CGP are A*

CGP have really raised their game recently. Traditionally known for their excellent revision guides, regular readers of Great Maths Teaching Ideas will know how highly I rate their relatively new GCSE MathsTutor product. This DVD-ROM disc that retails for just £3, contains video lessons and worked exam questions for every topic on the maths GCSE. View a demo of MathsTutor here. They also produce a VLE/network version that you can upload to your learning platform school-wide for just £250 a year. The videos are engaging, informative and contain regular bouts of cheesy humour. The pedagogy is good as the vides are made by maths teachers. The kids love them and say they really help them with their learning.

I have been reflecting on my teaching recently and have realised that I need to be giving pupils more time to consolidate their learning. Once pupils have ‘remembered’ new knowledge and shown the ability to apply it I often press on, conscious of getting through the whole scheme of work on time. Homework should provide time for consolidation but I want to offer that opportunity in an environment where pupils can get help if they need it. I am reading Eric Jenner’s brilliant book Super Teaching at the moment that discusses the way in which our brains learn and the necessity of processing time. Giving your subconscious brain time to process and organise new information is vital to the learning process and you have to make time for it or you won’t retain the learning. I’ve decided to do once-a-week consolidation lessons where pupils focus on practising lots of questions on topics that they have learned previously in a supportive environment. Rather than teaching something once and hoping they remember it in 2 years’ time I hope these regular consolidation lessons will allow my pupils to keep more plates spinning at once so their learning gets better embedded and they have less to resurrect when it comes to revision time. They should also find it easier to make links between topics which is so vital to learning. As Jenner says, it’s the connections that count in learning. You have to provide them with as many things to anchor new learning to as possible. My classes will still get high-paced dynamic lessons focussed on learning with lots of collaborative work and discussion, but they’ll also do some good old-fashioned consolidation. I hope by putting lessons aside for this I can strike a better balance that ensures my pupils get time for each part of the whole learning process.

No nonsense approach to standard form

If you are interested in giving your pupils more structured consolidation time you will need a collection of questions to give them. Step forward CGP and their new series Mathematics for GCSE & IGCSE. In house, CGP call these the no nonsense textbooks. They are just that. There are no glossy photographs and no dumbing down of technical maths language. Each section contains a worked example and then dozens of questions in the exam style that get progressively harder. Answers are included at the back. The books come in three flavours: Higher Level, Foundation Level and Foundation- The Basics. View them on the CGP site here. The books retail to the public at £19.99 each but they will sell them to schools for just £10 each! Amazing value for the thousands of questions in each book.

Am I taking a step backwards here by advocating such an old-fashioned style of textbook? I don’t believe so. I am a fan of collaborative working and discussion in a maths classroom. I believe in AfL and engaging learners with ICT and situated learning experiences. However, in a true student-centred classroom it is the pupils who have to put the work in to learn. I work hard for them by providing an environment conducive to learning but they need to match that effort themselves. If used in an old-fashioned sit and work in silence, teacher sits at front of room lesson where pupils who were struggling are not identified, these textbooks would not be effective. No textbook would be. On the contrary, used in a consolidation lesson that incorporates instant feedback through self-marking, a brain, book, buddy, boss sequence of who to ask when you are stuck, collaborative working and support, these textbooks could form the spine of a true student-centred learning environment. It’s what you do with them that counts!

At just £10 each these are top value and would see a student through a whole GCSE course for both class work and home work questions. Well done CGP. Mixing the best of the old with the new at a cracking price.

Disclosure: The author of this post received free sample copies of the textbooks for review.

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TES Maths Panel- Topic Specials

A few weeks ago I was approached by the TES Secondary Maths Advisor, Craig Barton to join the new TES Secondary Maths Panel. The vision of the Panel is to raise awareness of the treasure trove of teaching resources that have been uploaded to the TES resources site and to act with editorial control to bring the best of them to your attention as easily as possible. Panel members will also write articles relating to maths teaching in the TES Magazine. I accepted the invite along with 12 other teachers and the TES Maths Panel was formed. You can see the profiles of the Panel members at this page.

The first project of the Panel was to create a series of Topic Specials for the secondary maths area on the TES Resources site. By TES’ own admission, the search functionality on the site has room for improvement and thus it is not always as easy as it should be to find the highest-rated, most-relevant resource to your search. The Topic Specials are the result of the panel sifting through the resources and choosing the 10 best on the whole of TES for each topic. Click here to view the Topic Specials. The Topic Specials feature some really excellent teaching and learning resources and will save you lots of time searching. We have divided up the whole secondary maths curriculum and written a Topic Special each. My own contribution was the Pythagoras and Trigonometry Topic Special. You will need to sign up for a free TES account to download the resources.

In addition to the Topic Specials you will see other resource collections on the Secondary Maths Resource Collections Page. These include GCSE revision resources, revision videos, MEP resources, National Strategies resources and much more. I’d strongly encourage you to take a look and bookmark the page.

An alternative route to the Secondary Maths Resource Collections Page is to go to the main TES website (www.tes.co.uk), then click resources, then secondary, then maths, then TES maths resource collections.

 

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A+ Click- rich puzzles for developing logical reasoning

A+ Click is a new website that provides a vast collection of puzzles and challenges to develop logical reasoning skills in your pupils. You can search by topic or year group, making finding puzzles at your class’ ability easy. Like NRich Maths in many ways, A+ Click also keeps a record of how many answers your pupils got right. Ideal for computer room lessons. Craig Barton has made one of his Webwizz videos that explains all the details:

A+ Click Video

I’ll certainly be using these regularly for starters with classes who I want to show some more initiative in solving problems.

Top notch.

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Revision Grids- Level 5

Further to my previous post where I launched the Revision Grids series of resources, I am pleased to announce that the Level 5 Revision Grids are now ready for you to download! I hope you and your pupils find them engaging and useful for learning.

Click here to download the Level 5 Revision Grids

If you like them please do pass them on to your teaching friends and share them through your social networks.

Watch this space for future Revision Grids at other levels. To be notified of new resources you can subscribe to Great Maths Teaching Ideas by email, Like our Facebook Page, and follow us on TwitterGoogle+ and Linked In.

If you like the resources on Great Maths Teaching Ideas you’ll love reading 100 Things Awesome Teachers Do, available in the Amazon Kindle Store, the Apple iBookstore and many other online retailers.

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Inspirations

What would MC Esher’s workplace have looked like? In this enchanting new animation, Cristobal Vila offers us his vision of the answer to that question. Romantic and full of artistic license, Vila shows us mathematical ideas and curiosities from different areas of the subject including tessellation, mechanics, probability, algebra, nets and game theory.

Michelangelo once said “you wouldn’t call it genius, if you knew how much work went into it”. I think this beautiful video captures the obsession required to produce masterpieces like Escher’s.

Inspirations

You may have seen Cristobal Vila’s previous work: Nature By Numbers.

 

Revision Grids- Level 4

Whilst visiting the excellent MEDIAN blog by Don Steward, I saw his Practice Makes Perfect resources. These gave me inspiration to create a set of revision resources that were based on levels so pupils could use them to prepare for their assessments.

Allow me to introduce: Revision Grids. The idea is that there is a grid of 20 cells on a page with each cell containing a revision question. Putting the questions in this grid arrangement gives you a lot of options as a teacher for making your revision lessons more fun and engaging. You can use them just as straightforward worksheets for individual or pair work. Alternatively, they can be used as a ‘4 in a line’ game where pupils take it in turns to answer a question and if they get it right they put a coloured counter on the square. First to get 4 in a line wins. This can also work nicely as a whole-class starter or plenary if you have a projector and/or interactive whiteboard.

If you want to promote collaboration and independent learning getting pupils to work in pairs with a textbook as a reference and then coming to you to see how many they have right is a good strategy. Only tell them how many they have right, not which ones so they have to go away and discuss it with other groups to work out where they have gone wrong and what they need to do to correct it.

I am going to create more Revision Grid packs that cover the whole curriculum at a particular level. I have started with level 4 which you can download below. I shall do level 5 and 6 next as this covers the majority of pupils at Key Stage 3 but will eventually do packs for all of level 3 through to E.

Click here to download the Revision Grids Level 4 pack

If you like them please do pass them on to your teaching friends. I hope you and your pupils enjoy using them and find them helpful for revision.

Watch this space for future Revision Grids at other levels. To be notified of new resources you can subscribe to Great Maths Teaching Ideas by email, Like our Facebook Page, and follow us on TwitterGoogle+ and Linked In.

If you like the resources on Great Maths Teaching Ideas you’ll love reading 100 Things Awesome Teachers Do, available in the Amazon Kindle Store, the Apple iBookstore and many other online retailers.

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The Maths eBook of Notes and Examples

Since many pupils walk around with smartphones these days and have tablet computers or laptops at home, I wanted to develop a series of notes and worked examples that they could have on them all the time. Well, now they can! Check out this video that explains all:

The Maths eBook of Notes and Examples

A huge thanks to Craig Barton (www.mrbartonmaths.com) for writing the notes and kindly agreeing that I could compile and publish the eBook. You can download the eBook by clicking on the link below or visiting the eBooks link in the menu at the top of the page.

Click here to download The Maths eBook of Notes and Examples

 

Blog recommendation: Flipping with Kirch

The Flipped Classroom model is getting a lot of press in education circles these days as a teaching and learning strategy that promotes independent, student-centred learning. This approach is generally relatively new and experimental in maths classrooms and adopting a Flipped approach in your own classroom may be a step into the unknown. As with anything new we try, we will make lots of mistakes and learn from them. The wisest of all people learn from other people’s mistakes so they don’t make the same ones themselves.

There’s no need to start blind with a Flipped Classroom model now as an American maths teacher, Crystal Kirch has journalled in detail her experiences of flipping her maths classroom for a year.

Flipping with Kirch is a must-read if you are interested in running a Flipped Classroom model. Detailed and honest about the difficulties as well as the benefits, Crystal’s blog gives a balanced account about her experiences of running a Flipped Classroom model. She’s has done her best to collect data to analyse the performance of her flipped class against previous classes taught traditionally. Whilst not academically rigorous, she is doing all she can and being a scientifically accurate as is possible in an education environment.

Anyone interested in running a Flipped Classroom no longer needs to walk this path blind and alone. Have a read of Flipping with Kirch to learn from her mistakes and obtain her advice on the pros, cons and practicalities.

Great work Crystal!

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Richard Feynman- The Pleasure of Finding Things Out

Richard Feynman was one of the greatest physicists of all time. He created the theory of quantum electrodynamics for which he won the Nobel Prize and helped NASA figure out what went wrong in the Challenger disaster. In this video The Pleasure of Finding Things Out, Feyman talks about his education and the effect his father had on him. He explains his philosophy that drives him, a natural curiosity and also why he has little respect for honours. A fascinating watch about what learning should be all about. Highly recommended viewing for both you and your pupils.

Richard Feynman- The Pleasure of Finding Things Out

Interesting reads from the blogs 15/04/12

Metric to Imperial Conversions Poster- Mr Collins’ Reflective Journal

square root rule- MEDIAN

g.m in a right angled triangle- MEDIAN

shells and hexagons- MEDIAN

thirds- MEDIAN

angle mixture- MEDIAN

creating quadrilaterals- MEDIAN

twisted rectangle- MEDIAN

maths tricks- MEDIAN

how many?- MEDIAN

squaring (100 + something)- MEDIAN

A Teacher’s Guide to Using Virtual Worlds in Education- Edudemic

Do Students Really Have Different Learning Styles?- MindShift

Progressive, Collaborative, Dynamic Social Learning- ROLE Reversal

Google Docs For Teachers. A Free eBook- Free Technology for Teachers

If It’s Broke, Fix It!- The Innovative Educator

Meetings.io amazing free video chat without the need to sign up!

There are so many great social networks and other web services out there to help us all connect but the really annoying thing is that not one of them has all your friends and family on. Many of my teaching friends are on Twitter and Google+ and school friends on Facebook. Some of my family are not on social networks at all.

If I want to have a video chat with them I need to see if they have a Skype account or a Google+ account, of if they have the video plugin installed in Facebook. If they have an Apple device then a FaceTime chat is a possibility.

Isn’t this so messy! What if all you had to do to have a video chat with someone was send them a web address and then a video chat opens up? What if it worked in every browser and without signing up for an account? What if it didn’t require the other person to install any software at their end, it just worked in the browser straight away?

That day has finally come. Ladies and gentlemen, I give you: meetings.io

Check out this amazing service that does everything mentioned above and more. The uses in education could be huge. Imagine how easy it would make video conferencing if all you had to do was send pupils a web link?

Currently up to 5 people can talk in the same online video chat and there are additional features such as a note-making section that automatically emails you any private notes you made during the meeting, and live text chat between participants. This is a new product but they are working on additional functionality such as compatibility with Android and iOS devices, the ability to share files and share parts of your screen during the video chat.

To be able to use such a high quality service without the need for yet another login and password in this day and age is so novel and I thoroughly suggest you check it out!

If you have any suggestions and ideas or would like to share any experiences of how you can use this in education then please do let us know in the comments section below.

Click here to visit meetings.io

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Derive the trigonometric graphs using spaghetti!

If you’re looking for an interesting way of teaching the trigonometric graphs sine and cosine then you must watch this superb video of an activity to derive them using spaghetti. Chris Smith @aap03102 created this activity and then made the cheesy video explaining how to produce the spaghetti trig graphs.

Trigonometric Graphs Spaghetti Video 

Chris publishes a weekly maths newsletter that is a great read. To subscribe to it send him a quick email to aap03102@gmail.com.

To follow up on the spaghetti activity, here is a great Geogebra applet that demonstrates the same ideas in an interactive way.

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Where does pi r squared come from? Beautiful demonstration

Area of Circles Geogebra applet designed by Anthony Or, Education Bureau, Hong Kong

Here is something a bit special. It’s an amazing Geogebra applet that shows where the formula for the area of a circle comes from. I’ve had pupils cutting circles into sectors before to perform the same proof, but this interactive applet it first class in showing the concept in a visually stunning way and quickly. Top stuff!

Click here to launch the Area of a Circle applet.

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Interesting reads from the blogs 06/04/12

A bumper edition today with some superb articles and resources. Don Steward of the excellent MEDIAN blog in particular has been very busy making some stunning resources…

Critics of the Flipped Classroom- Flipping with Kirch

Teachers using the Flipped Classroom data posted- Flipping with Kirch

Will Your Students Soon Be Wearing Google Glasses?- Edudemic

maxagon- MEDIAN

four lines- MEDIAN

trapped semicircle- MEDIAN

on target- MEDIAN

pizza- MEDIAN

tubs- MEDIAN

7 pins- MEDIAN

four triangles- MEDIAN

unusual square roots- MEDIAN

area 5- MEDIAN

4 in a line and coordinates- MEDIAN

4 in a line and negative coordinates- MEDIAN

3D shapes to draw- MEDIAN

soma puzzles- MEDIAN

perps- MEDIAN

chanting- MEDIAN

Happy Birthday Einstein (part 4)- Let’s Play Math!

Why Every Proof that .999…=1 is Wrong- Let’s Play Math!

Where are you on the global payscale?- Educational Origami

Mathematics Fortune Tellers- Number Loving

What will be obsolete in 2020?- Mind Shift

 

Proportionality formulae conceptual card sort

To help pupils understand the main concepts in the topic of proportionality formulae I have created this conceptual card sort. Pupils have to sort the cards into eight groups based on the types of proportionality assessed at GCSE. Within each group there will be 4 cards that include: the proportionality expressed in words, the proportionality expression, the proportionality formula featuring the constant of proportionality and a graph showing the general shape. I hope you and your pupils enjoy using it!

Click here to download the proportionality formulae card sort