I wrote earlier on the wonderful resources on Underground Mathematics from the University of Cambridge. Thinking about the new A level specifications I believe thissite will provide us with rich resources for these new specifications.
Each section includes Review Questions, look at Thinking about Algebra for example; scroll down the different resource types for the Review questions for this station.
An excellent feature of Underground Mathematics is the excellent search facility; we could look at the Review questions by type. One can also search by line ( Number, Geometry, Algebra, Functions or Calcuus) and by Station.
See the example question below, for each review question you will find the question, a suggestion, the solution and sometimes suggestions for taking it further with for example GeoGebra resources.
Note the star by the title – if you choose to log on to the site (you don’t have to but it’s a very good idea!) you can save any favourite resources to your collection.
I can never resist a quick illustration on Desmos! I think I’ll start an Underground Maths Desmos collection! Note the use of the hyperlink on Desmos to link to the question.
Select the image for the Desmos page.
I think we have a wonderful supply of excellent questions here to challenge our students and help them see connections between the various areas of the subject. These are ideal to use with A Level students; some are also useful for higher level GCSE students aiming at those top grades or Level 2 Further Maths students. Any student who wants to study Mathematics at university should certainly be using this site.
There are many useful conversations on Mathematics on Twitter. Now just in case you hate Twitter or have no interest in it – you can still follow useful conversations and follow links to resources without even signing up to Twitter. I find Twitter a little like a lucky dip – usually in just a few minutes I find useful resources or the latest educational news.
For Mathematics teachers I would recommend the following:
One of my personal resolutions for the coming year is to carry on with my practice of using resources that students can then refer to or use at home if they wish. Mathematics notes and calculators are a good example of such resources.
To consider an example, early this term with the Further Mathematicians I will be studying matrices and I will let them know the sources of any resources I use in lessons. I use a blog to provide the details of my students’ homework so I can simply add the links to their homework page. Sometimes where there are several useful resources I think maybe of interest to a wider audience I also add a post to Mathematics for Students, see for example, Polar Coordinates. In fact I think I will do that more this year.
To return to matrices, some useful resources include the following:
Obviously we need to keep an eye on the specification when looking at alternative sources of examples but surely that can only be a good thing, particularly for our students who will be off to university in the near future.
Looking at the second page of the mathcentre leaflet, I noticed mathtutorwhich provides mathcentre resources conveniently structured as a course. I shall refer my students to that this week, I want them to look at the quotient rule in my absence (I’m very much looking forward to the annual TSM residential workshop at Keele University) and plan to point them in the direction of resources they can use – a flipped approach! (See ‘Prepare ahead‘ here). I’ll see what they have learned on my return.
The mathcentre site includes extensive resources. Many of my students like the quick reference leaflets which are available on numerous topics. There are also teach yourself booklets, revision booklets, videos and diagnostic tests. Resources are available for staff and students. This is a site well worth exploring and recommending to your students.
WolframAlpha can be used for vocabulary, for example try typing ‘plus’ into WolframAlpha.
Note that WolframAlpha has assumed plus is a character but you can choose to refer to a mathematical definition or a word (or an internet architecture topic). Choosing wordwill not only give definitions but a wealth of other information that you would not find in a dictionary such as the first known use of the word, frequency of use, rhyming words and much more!