Engaging Explanations also Exploration and Investigation with Technology

It has been a wonderfully mathematical week!

We have recently had two excellent Mathematics Conferences, one from the Association of Teachers of Mathematics and the other from the Mathematical Association.

I enjoyed so many excellent sessions and presented a session at each conference myself, one for the ATM Conference considering how elements of the Great teaching toolkit: Evidence Review can be applied in Mathematics teaching and the other for the MA on exploration and investigation with technology.

I have created a page for each of these, each page includes all the resources I included in these sessions. I will add further explanations to these pages. I hope they will be a useful resource for maths teachers generally.

Thank you to the people who attended my sessions and a massive thank you to both the Association of Teachers of Mathematics and to the Mathematical Association.

Great teaching toolkit: Evidence review

Andy Lutwyche – Clumsy Clive

Exploration and Investigation with Technology

Examinations 2021

An annual job is to create a page for examinations which is usually on results statistics, grade boundaries and so on. Clearly, everything changed for examinations in 2020 and yet again for 2021.

I thought it would be useful to add a page to the series for Examinations 2021.

This page includes links to updates, results statistics archives including November 2020 as well as links to the various examination boards and the support from each.

Note the very useful Exams Office updates, a good read for anxious students from Professor Kevin Woods and psychologists at Manchester University and several posts recently published as well as their results analysis series from fft education datalab.

fft education datalab – Natasha Plaister

Data Science Course

As you can see from Tom Button, MEI’s Introduction to Data Science Short Course is now freely available from MEI.

The course uses the large data sets for all the examination boards, note too this very useful page from MEI on the large data sets. Not only are there links to all the large data sets but resources using Desmos, Excel and GeoGebra.

Check this playlist on YouTube of the MEI large data set videos.

Decision Mathematics – Teaching Resources

Linear Programming Grapher

Trying to make things easy to find, I have added two new pages to the Further Mathematics series. This series can be found on the A Level (16+) Tab.

GraphsDecision Mathematics 1Mathematical PreliminariesAlgorithms
NetworksAlgorithms and Graph TheoryGraphs and NetworksNetworks
Network FlowsAlgorithms on GraphsAlgorithmsNetworks and graphs
Linear ProgrammingCritical Path AnalysisNetwork AlgorithmsNetwork Flows
Critical Path AnalysisLinear ProgrammingDecision Making in Project ManagementCritical path analysis
Game theory for zero-sum gamesDecision Mathematics 2Graphical Linear ProgrammingSolving network problems using technology
Binary OperationsTransportation ProblemsThe Simplex AlgorithmLinear Programming
Allocation (assignment) problems Game TheoryThe Simplex Algorithm
Flows in networks
Dynamic Programming
Game Theory
Recurrence relations
Decision Analysis
Decision Mathematics Subject Content
Teaching Resources – GeoGebra Resource from the OR Society

Mathematics for Easter

It’s nearly Easter time again, so time for some Mathematical Easter treats!


Also a post for students – a puzzle from Mathisfun which is just an excuse to solve some simultaneous equations (and how to do it on Excel with the neat MINVERSE function!) The post also includes some notes and examples for students on simultaneous equations.

Transum – Egg Box Investigation

From Transum Mathematics, and perfect for thinking about Systematic Listing Strategies, try this Egg Box Investigation.

From Nrich try How Many Eggs? Or for younger students, Eggs in Baskets.

If we stay with an eggs theme, I do like You Can’t Make an Omelette from these Freedom and Constraints resources.



Easter Relay – Chris Smith

From Chris Smith, try his great Easter relay and note the whole set. I have used many of these very successfully – have fun whilst doing plenty of Maths!

On Teachit Maths, we have an Easter Chick with Easter Coordinate Pictures and Easter Bunny Race. With Easter Bunny Race, watch a race between the Easter bunnies and determine their speed. I like the questions to check understanding, including some harder questions – watch those units!

Teachit Maths, a (very good value) subscription site offers its collection of activities as pdfs free. I have found many high-quality resources here for all ages, including older students (KS5, 16-18).

Teachit Maths – Easter Bunny Race

Look out for any Easter Challenges from Perton School Maths Department.

MEI Maths post some great problems on Mondays! I think this would be appropriate for lower KS3 students also.

On TES, check these resources:

For older students, a Maths Item of the Month (April 2018) from MEI gives instructions for drawing an Easter egg and then asks students to find the area.


On the subject of Easter eggs, I must return to this definition. See…
WolframAlpha – a little fun!

Desmos Easter Egg

A simple Easter Egg on Desmos, we have an ellipse and the sine function – note the transformations of the sine function.