Teaching Further Mathematics 1 (TFM1)


Teaching Further Mathematics 1 (TFM1) is a sustained professional development course for teachers wishing to develop their own subject knowledge and classroom practice in teaching A level Further Mathematics. It covers at least the pure material common to all AS level Further Mathematics specifications.

TFM1 features:

  • 10 live online tutorials
  • two study days
  • textbooks to support your studies
  • access to online teaching and learning resources
  • email support from a tutor and access to an online group forum

Participants will have the option to certificate by submitting an assignment at the end of the course.

Following completion of this course, participants will be eligible to study TFM2, which includes the remaining pure content common to all A level Further Mathematics specifications.


  • Develop confidence and skills to teach A level Further Mathematics, focusing on subject knowledge and effective pedagogy.
  • Gain a deep understanding of A level Further Mathematics.
  • Provide opportunities for mathematical thinking, explore connections, and identify misunderstandings.

Who will benefit from attending?

TFM1 is designed for teachers who are currently teaching AS or A level Further Mathematics or who wish to teach it at some point in the near future. 

Our sustained courses enable teachers to broaden and deepen their subject, pedagogical and pedagogical content knowledge. Teachers, with enhanced subject knowledge, are therefore better equipped to make links between topics, address students’ misconceptions and confidently challenge learners at all attainment levels. Our course aims and intended outcomes are consistent with the principles set out in the Education Inspection Framework.


TFM1 covers the content across all AS level Further Mathematics specifications. This means there will be coverage of AS level topics and, depending on your awarding body, some coverage of A level topics. For a list of topics please refer to the online session schedule below.

Materials and Equipment

A computer with a reliable internet connection will be required to attend the online tutorials. In addition, a headset with a microphone is suggested to get the best experience of the online tutorials.


This course is free of charge to teachers working in state-funded schools and colleges in England. For others the course fee is £300.

Schools and colleges located within Priority Areas are eligible to receive a subsidy of £250 per study day.

Study Schedule

Study days

For this course we are offering virtual study days in the autumn term, and a choice of virtual or face-to-face study days in the spring term.

Please note that all arrangements are subject to public health guidelines. If there are travel restrictions in place face-to-face study days may be moved online. 

Study day 1:

25 September 2021



30  September 2021



02 October 2021

9:15 to 14:30

Study day 2:

15 January 2022



Central London 
20  January 2022

10:00 to 16:00


Central London 
22 January 2022

10:00 to 16:00

Online sessions

Online sessions are conducted live and recordings are available for playback.

Evening online tutorials (19:30-20:45) Study content
Tuesday 6 July 2021 Introduction
Thursday 22 July 2021  Matrices 1
Thursday 5 August 2021 Complex numbers 1
Thursday 26 August 2021 Roots of polynomials
Thursday 16 September 2021 Series and induction
Thursday 7 October 2021 Vectors
Thursday 21 October 2021 Matrices 2
Thursday 11 November 2021 Maclaurin series
Thursday 25 November 2021 Complex numbers 2
Thursday 16 December 2021 Further calculus
Thursday 27 January 2022 Hyperbolic functions

Following the online sessions you will work towards completing an assignment. The deadline for this assignment is 28 February 2022.

Unit certification: 30 April 2022 (or before).

Participant feedback

Thanks for a great course, I have learnt a lot and am looking forward to trying some of the ideas out this year.
Genuinely been so impressed with TFM1&2 and have loved taking part. My teaching is heaps better for it.
Actually made me think about how to deliver a subject rather than just teach from the book.
The course was fantastic and I have used so many of the resources.
...it was nice to spend a day on maths with like-minded people.

Frequently Asked Questions

There is no requirement that applicants have taught A level Mathematics before enrolling on TFM1 however, much of the pure content of A level Mathematics is assumed knowledge. The Teaching A Level Mathematics (TAM) course is highly recommended for teachers looking for support with teaching A level Mathematics.

It is difficult to be specific as this will depend on previous experience. In the past, delegates have reported spending between 1 and 4 hours studying each week. Ideally, delegates should aim to study regularly for a few hours each week however, in reality many working teachers have weeks when this is difficult and they use out-of-term time to catch up.

It is not our usual policy to allow teachers to enrol on more than one sustained course (TAM, PALM, TFM, TM, TS, TD) at the same time. Please contact us at [email protected] before making multiple course applications.

The TFM1 assignment is the only work that delegates hand in. To receive a certificate at the end of your TFM1 course you will need to submit and pass the TFM1 assignment. Certification is optional but we strongly encourage you to submit an assignment anyway to help you consolidate what you have learnt. In the past most teachers have chosen to submit an assignment.

We vary face-to-face study day locations. Recently study day locations have included London, Coventry, Manchester or Leeds.

Key Facts

Event ref:




Curriculum focus:

A level Further Mathematics

Mathematical focus:

Pure, Problem solving, Use of technology

Event format:

Sustained Professional Development

Event length:

6 months

Study days:


Online sessions:





Online classroom and study days in London or online

Next session:

Thu 5th Aug 2021


Free for state-funded schools; £300 otherwise

Priority Area subsidy:

2 x £250


Printable Version


If you have any queries about this event, please do not hesitate to contact:

Teacher Support Admin Team
[email protected]
01225 716494

The AMSP, through MEI, holds the NCETM CPD Standard

National Centre for Excellence in the teaching of Mathematics

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