# Technology in Mathematics

An update has been made to the Use of Technology page.

In particular note the GeoGebra resources from Edexcel (and also OCR).

From Edexcel you can use A Guide to using GeoGebra when teaching AS and A Level Mathematics which links to numerous GeoGebra files clearly mapped to the specification content. You can also access an excellent collection relating to the Pearson books (see table below). Whilst linked to the books many of these GeoGebra resources do stand alone, for example check this equations and inequalities example from the Pearson Maths A Level Pure 1 collection.

It is good to see all the GeoGebra resources for Further Mathematics, for example, check Explore toppling and sliding using GeoGebra.

For exploring the Large Data, on AQA’s All About Maths see AQA Large Data Set – Guidance and Worksheets including a tool to help support teaching the statistics content of the specification. This is an amended version of the large data set spreadsheet, the first three sheets are as on the AQA large data set but there are many additional sheets which allow students to explore the large data set. The tools are all provided for students, they do not need knowledge of Excel, meaning time can be spent on interpreting the data rather than learning about Excel. The worksheet on Exploring the Large Data Set could I think be usefully used lower down the school to get students used to working with more data.

A separate page is available on Statistics.

By Colleen Young

# Colourful Chi Squared!

Updating a presentation, Colour in Mathematics or pdf version, Colour in Mathematics led to a happy find…

When teaching the Chi Squared test I have often found that students are not always clear on their interpretation of the contributions to the test statistic. A worked example with a little colour to help where we look at the observed data. the expected probabilities and the chi squared contributions seems to work well . This exercise made me realise that a chi squared calculator I had previously recommended did not seem to be working, so fortunately I found a better one!

From Social Science Statistics this Chi Squared Calculator is for a contingency table with up to 5 rows and columns. It is very simple to use, enter the group and category names, then the data, choose the significance level and calculate.

A clear conclusion is then given:
The chi-square statistic is 10.2061. The p-value is .037096.
The result is significant at p < .05.

The calculator is included on the Statistics 16+ page of Calculators & Tools.

Note the many other calculators  for statistical tests  available on Social Science Statistics.

# A Level – Draft Specifications & a Statistics Qualification

The A Level Draft Specifications have now been published, including specimen papers.
Use this Twitter List to see updates from all the exam boards. As you can see @Ofqual are making announcements about accredited specifications.

For the specifications use the following links.

Further resources:
AQA Resources including a very useful Specification Summary. AQA have several very clear resources, see: Planning  Teaching and Assessment which includes the Specimen Papers and mark schemes.

Edexcel Specification & Sample Assessment Materials note the inclusion of a data set for AS and A Level.

Edexcel – Assessment support including mapping documents.

From OCR, specifications, specimen papers and other resources can all be downloaded here.
Note the option to download a zip file with the specifications and sample assessment materials.

OCR have individual subject pages with further resources:

MEI have helpfully compared Further Mathematics Specifications so you can compare the content and structure from each board.

OCR have also linked to some new sample MEI resources. These include some very nice “problem shorts” and also the use of technology to analyse large data sets.

OCR A Level Check In Test

I do like OCR’s check in tests for GCSE and I see a small number check in tests and lesson elements on the A Level subject pages; I assume this collection will grow.

From MEI, see this short video presentation on the new specification including the new work on large data sets.

For further reference documents and some suggested resources see A Level Reform.

For easy access to announcements regarding Maths from the examination boards, use this twitter list. (You do not have to use Twitter to access the list).

Eduqas will not be offering AS / A Level Mathematics specifications, but note their Level 3 Statistical Problem Solving Using Software. See also  the International Centre for Statistical Education (ICSE) with Plymouth University and you can follow @IntCSE on Twitter. It may be that some of the resources here will be useful for our teaching of Statistics.

Educas state: “The objective of this qualification is to assist the understanding of the problem-solving cycle of planning, collecting, processing and discussing in meaningful contexts and to use statistical software to process real data sets. It has been specifically designed to be taught in schools and colleges to equip learners aged 16-19 with a broad range of skills empowering them to successfully negotiate statistical problems in Higher Education or the world of work.”

This discovery led me to a treasure trove of resources from Educas for Mathematics at all levels, including GCSE – this definitely needs further exploration!

# Mathematical Miscellany #3

Mr Westwater – TES Resources

With revision still in mind, for some excellent PowerPoint resources with A Level questions and mark schemes by topic try Mr Westwater’s resources on TES. (Twitter @westiesworkshop).

Diagnostic Questions

Craig Barton’s and Simon Woodhead’s Diagnostic questions site includes some excellent question collections for revision; as well as GCSE questions, there are quizzes for AQA’s excellent Level 2 Further Mathematics specification and for Core 1 at Advanced Level. Questions from the Oxford University Mathematics Admissions Test are also available.

GCSE Problem Solving: Steve Blades’ site www.m4ths.com has many excellent resources; on the GCSE page Steve has a section (near the end of the page) of eBooks.

Visual Patterns – Fawn Nguyen

From Fawn Nguyen comes the brilliant Visual patterns, note the menu; the Gallery includes blog posts from teachers and students who’ve used visual patterns in their classrooms.

By Colleen Young