# Interactive Whiteboard Resources

(From the outstanding Nrich, Countdown Fractions, one of their many Interactivities.)

My summer holiday project for this blog is to carry on organizing links to the numerous excellent free resources available. This week I thought I would concentrate on interactive whiteboard resources and tutorials. The ‘I’m Looking For …’ page includes these lists (many of the other collections also include resources which work very well on an interactive whiteboard):

The tutorials list includes resources for Smartboard and Promethean boards.

Many of the resources mentioned on this blog work very well on the interactive whiteboard, the Wisweb applets for example or the wonderful Desmos graphing calculator.

See ‘Searching for things‘ for more on using Evernote.

If you are searching for a particular kind of resource then do use the comments to let me know.

# Math and Multimedia Blog Carnival #22

To begin the carnival we will as is the tradition look at some properties of the number 22, additionally we can look at some sites which provide information on number properties.

A good place to start is the NumberADay blog from the Mathematical Association of America. Every working day, they post a number and offer a selection of that number’s properties.
Here we learn for example that 22 is a pentagonal number and is the smallest number that can be expressed as the sum of two primes in three ways: 22 = 3 + 19 = 5 + 17 = 11 + 11.

A great site for finding out about the properties of a number is Tanya Khovanova’s Number Gossip. Whilst we all know that 22 is even, did you know it is odious?

From Cool Numbers we learn that 22 is seriously cool!

For other sites with information on number properties see What’s Special About This Number?Amazing Number Factsa site with many fascinating articles and Mudd Math Fun Facts, where we could search for all the Number Theory Fun Facts. We could of course enter 22 as a WolframAlpha query.

So, to the posts, as it’s a carnival it seems appropriate to start with the party post!

### Birthday Party Fibonacci Style!

Bon Crowder describes a fabulous party for her soon to be three year old in Birthday Party Fibonacci Style! There are some fabulous ideas here, I want a party like that!

### Asymptotes

Shaun Klassen presents a clear description with accompanying diagrams in his Asymptotes at Maths Concepts Explained. Reading Shaun’s post it struck me that we could provide a Desmos graph where students could experiment (click on the image and change the sliders).

For more on the outstanding Desmos graphing calculator see my own series of posts.

### Summer Maths Series

One of  Rocky Roer’s series of Summer Maths series posts is What’s the comma good for? where he describes what you can do with that comma key on your calculator!

In case anyone is wondering about the calculator font I have been using, you can download such fonts free. The Calchux font is available on the resources page (scroll right down to Miscellaneous) of subtangent.com.

### Making a singular matrix non singular

John Cook was asked this question on Twitter ‘Is there a trick to make an singular (non-invertible) matrix invertible? He posted his response Making a singular matrix non singular on his blog The Endeavour. John’s mention of Twitter reminded me of the value of developing contacts on Twitter.

### The Man Who Solved a Math Problem for 8 Years

Guillermo Bautista tells the story of Andrew Wiles in solving Fermat’s Last Theorem in his post The Man Who Solved a Math Problem for 8 Years on Math Palette.

### 10 Reasons Why Mathematics Teachers Should Blog

It seems most appropriate to conclude the carnival with Guillermo’s post on 10 reasons why Maths teachers should blog. I know I have learned a great deal, found a fantastic library of resources and made many contacts since starting my own blogs. Thank you so much to all of the contributors here.

That concludes this edition. Thank you for reading. Submit your blog article to the next edition of Mathematics and Multimedia Blog Carnival#23 (a happy event as 23 is a happy number!) which will be published on Math Palette using our carnival submission form, the deadline for submitting articles is August 18th.

# Spot the mistake!

A great way to get students thinking about mistakes and misconceptions and hence deepen their understanding of topics is to have them mark the work of others. There are some great resources hosted on TES that will allow your students to do just that.

The resources I have come across are:

R Barnard’s Bob’s Ratio Homework

Craig Barton’s lovely little starter on Algebraic Misconceptions (this one is truly tried and tested – I used it as a starter for a lesson observation and followed it up with a class discussion on what advice students would give to students making the kind of errors here – it went down rather well with the observers!)

Kaszal’s Fractions Mistakes

and Damian Watson’s

Transformations AfL Spot the Mistakes

Enlargement Spot the Mistake Booklet

Fractions AfL Plenary Spot the Mistake Booklet

Damian, Craig, Kaszal and R Barnard these are brilliant! Thank you.

For other great TES Resources have a look at the Mathematics collections.

On the subject of mistakes, the Classic Mistakes website has a gallery of posters of classic errors made in Mathematics. These could be a prompt for a useful discussion starter activity. Note that an audio file is also available for each poster.

# Rich Questions in Mathematics

Ofsted (The UK Office for Standards in Education, inspect and regulate services which care for children and young people, and those providing education and skills for learners of all ages) as part of their judgement on the quality of teaching quite rightly include ‘the extent to which teachers’ questioning and use of discussion promote learning’. Research has shown that often teachers’ questions are closed questions which require only lower order thinking skills from students. There are some excellent resources available to help teachers think about the types of questions they can use to support students’ learning. Not just for Maths but applicable to any subject I’d recommend very highly the Brighton and Hove Assessment for Learning  project – Questions worth asking. This includes many practical suggestions for the classroom and concludes with a self analysis.

The project includes the use of Bloom’s Taxonomy as an aid to thinking about the level of challenge / thinking required for a question. One of the consistently popular posts on this blog is Bloomin’ Mathematics which has links to several resources on Bloom’s Taxonomy. Of particular interest here on questions is an excellent resource: a booklet of sample questions which has been created as part of a project funded by the NCETM on Questioning the use of Bloom’s Taxonomy (scroll down the page for the final report).

For further questions which require higher order thinking skills see the Levelopaedia from Kangaroo Maths which has numerous probing questions by level and also the focused assessment materials which make it clear what students should be able to do and give probing questions.

Further Resources:

Nrich have some excellent advice on questioning, see Working Effectively with All Learners which offers questions and prompts to encourage discussion and Using Questioning to Stimulate Mathematical Thinking.

See Dylan Wiliam’s paper on Rich Questioning.

Always / Sometimes / Never questions and scroll right down to ‘Convincing and providing’ for question sets and soltions, more examples from CfBT Education Services. For younger students try Andrew Jeffrey’s lovely free gift ‘What’s the same, what’s different?