Skip main navigation

£199.99 £139.99 for one year of Unlimited learning. Offer ends on 28 February 2023 at 23:59 (UTC). T&Cs apply

Find out more

Course summary

Watch this video, in which David Spiegelhalter and Jenny Gage summarise the course and suggest some next steps.
And that’s it! Congratulations on reaching the end of this short course. We hope that you’ve found it both useful and interesting. The end of the course does not have to be the end of your professional learning journey for probability. As we explained at the beginning of the course, everything that we’ve covered in these three weeks has come from our book, ‘Teaching Probability’. We’ve had to be selective about the material that we included in this course, and there is plenty more in the book. So let’s remind ourselves of what we have covered. In week one we thought about probability in general, considered some of the difficulties that are involved in teaching it and outlined a better approach.
Week two developed these ideas in more depth, looking at how they can be extended and applied to the teaching of conditional probability. And this third and final week has looked at preparing students for examination questions, without resorting to learning tricks or remembering rules.
Our approach is based on the following steps:
One: start with a mathematical model of a simplified problem.
Two: get groups to generate data using spinners
Three: tally data using frequency trees and then pool the data to smooth the random variation and ask what we would expect to happen in a future set of experiments.
Five: perhaps supplement with spreadsheet simulations.
Six: move to expected frequency trees.
And seven: compare alternative representations
of data and expected frequencies: trees, two-by-two tables, Venn diagrams.
And eight: finally, we get to probability trees and derive the rules of probability. The comments here are your final chance to have your say about what you have learnt. So please do use them to let us know what was most useful for you what you would change, and what you would like to have seen more of. We know that we cannot please everyone, but we will read all your comments and take them into account when preparing future versions of the course. Thank you all for taking part in the course, and we wish you every success in teaching probability.

In this video, David Spiegelhalter and Jenny Gage summarise the course.

  • What aspects of the course will have the greatest impact on your teaching?

  • Would you like to suggest any changes?

Get extra benefits, upgrade your course

You can now get extra benefits by upgrading this course, including:

Unlimited access to the course: Go at your own pace with unlimited access to the course for as long as it exists on FutureLearn.

A Certificate of Achievement: To help you demonstrate your learning we’ll send you a Certificate of Achievement when you become eligible.

This article is from the free online

Teaching Probability

Created by
FutureLearn - Learning For Life

Our purpose is to transform access to education.

We offer a diverse selection of courses from leading universities and cultural institutions from around the world. These are delivered one step at a time, and are accessible on mobile, tablet and desktop, so you can fit learning around your life.

We believe learning should be an enjoyable, social experience, so our courses offer the opportunity to discuss what you’re learning with others as you go, helping you make fresh discoveries and form new ideas.
You can unlock new opportunities with unlimited access to hundreds of online short courses for a year by subscribing to our Unlimited package. Build your knowledge with top universities and organisations.

Learn more about how FutureLearn is transforming access to education