Maths subject knowledge: understanding number NE207 / C20

3 Weeks
Learning Method
Online Delivered CPD


Online, self-paced course. Improve your subject knowledge of numbers as part of the maths curriculum for students aged 11-16 years.
We use numbers every day, but do we really appreciate how they work? There are lots of fascinating connections and patterns to explore once you delve into the mathematical structure of how simple numbers work.
On this course, you will develop an understanding of the underlying mathematical structure of everyday mathematics. You will learn why mathematical methods work and find the connections between different areas of maths so that you can appreciate the interconnected nature of different maths topics.

Who is it for?

This course is designed specifically for teachers and educators who do not have a specialism in mathematics, but wish to learn mathematical methods and improve their understanding. This course is suitable for: new teachers, student teachers or people just about to start their teaching career who are interested in increasing their mathematical subject knowledge; inexperienced teachers of mathematics for whom mathematics was not a major part of their degree; non-specialist teachers of mathematics whose expertise lies elsewhere; parents wishing to support their children.

What topics are covered?

This four week course covers:
  • the history of numbers and different types of numbers
  • working in different number bases
  • factors, multiples and prime numbers
  • the order in which we perform calculations
  • exact answers
  • number sequences

How will you learn?

This online, self-paced course can be completed flexibly. Participants can join and start this course at any time after the advertised date. Find out how our online CPD works.

How long is this course?

This course takes around three hours per week to complete and you do not need to be online at any specific time. You can take the course at your own pace.

Who is the course leader?


By the end of this course, you will be able to:

  • explore how the number system we use every day actually works
  • investigate patterns created when exploring factors of numbers, multiples of numbers and prime factorisation of numbers
  • explain when and why two negatives make a positive
  • describe the order in which operations are performed
  • explore a variety of different number sequences


Maths subject knowledge: understanding number17 May 202100:00-00:00


Group enrolments: If you are a school, college or MAT and wish to arrange payment by invoice for 25 or more participants, please contact quoting the course code, title and start date.

FutureLearn terms and conditions: This course is hosted on the FutureLearn social learning platform and you will need to create an account if you do not already have one. 

In addition to STEM Learning Terms and Conditions, by booking on this course you are consenting to FutureLearn’s Terms and Conditions for Invited Learners. By booking onto this course, you agree that your information will be held by FutureLearn and National STEM Learning Centre as data controllers in common, and that by joining the course on FutureLearn your progress will be monitored by STEM Learning.

If you have booked in advance of the course being available, you will receive an email to access the course on FutureLearn no later than the course start date.


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State-funded school or collegeActivity fee£30.00 +VATSubsidy available*£0.00
Fee-paying school or college (independent)Activity fee£60.00 +VAT

* Your school or college will receive the subsidy on successful completion of the CPD and impact toolkit. Find out more.

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