Teaching Further Mathematics 2 (TFM2)


Teaching Further Mathematics 2 (TFM2) 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 the pure material common to all A level Further Mathematics specifications.

As a precaution, and to ensure the safety of all participants, this course has been adapted for entirely online delivery. However, we do value the opportunities and networking experiences that result from face-to-face study days. As such, we’re keeping our approach under review. If it becomes appropriate and feasible to hold face-to-face study days during the course, we will offer you the choice of attending in this way, or to continue online.

TFM2 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.

TFM2 is the second unit of the TFM course. In order to enrol on the TFM2 unit, participants must have already completed the first unit, TFM1.

Who will benefit from attending?

TFM2 is designed for teachers who are currently teaching A level Further Mathematics or who wish to teach it at some point in the near future.

Please note that participants must have completed TFM1 to be eligible for this course.

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


The TFM2 unit follows on from the TFM1 unit. Together the two units cover the pure maths content common in A level Further Mathematics specifications. The topics covered in TFM2 are:

  • Polar coordinates
  • Differential equations
  • Further calculus
  • Further matrices
  • Further vector geometry
  • Number theory
  • Group theory

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.


Participants must have previously completed TFM1.


For TFM2 spring 2021 we are waiving our usual course fee/reimbursement arrangements so that this course is free of charge to teachers working in state-funded schools and colleges in England. For others the course fee for TFM2 is £300.

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

Study Schedule

Study days

Online study days will generally take place between 9:15am and 3:30pm.

Study day 1

Saturday 20 March 2021

Study day 2

Saturday 3 July 2021

Additional study day arrangements:

To take into account government restrictions and guidelines on safe working, this course has been adapted to run online with ‘virtual’ study days. However, we still value meeting face-to-face, so if it becomes possible we will also offer alternative face-to-face dates for study days. We will let you know if we are able to do this closer to the time, in which case you will be able to choose then between the online and face-to-face options.

Online sessions

Online sessions are conducted live and recordings are available for playback

Evening online tutorials (19:30-20:30) Study content
Tuesday 9 February 2021 Polar coordinates
Tuesday 23 February 2021 Further integration
Tuesday 9 March 2021 Matrices 3: Eigenvectors
Tuesday 30 March 2021 3D Vector geometry
Tuesday 20 April 2021 First order differential equations
Tuesday 4 May 2021 Second order differential equations
Tuesday 18 May 2021 Applications of differential equations
Tuesday 15 June 2021 Numerical and series solutions to differential equations
Tuesday 29 June  2021 Number theory
Tuesday 20 July 2021 Group theory

During July and August you will work toward completing an assignment. The deadline for this assignment is 31 August 2021.

Unit certification: 31 August 2021 (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

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, TFM, TM, TS, TD) at the same time. Please contact us at [email protected] before making multiple course applications.

The TFM2 assignment is the only work that delegates hand in. To receive a certificate at the end of your TFM2 course you will need to submit and pass the TFM2 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, Cambridge, 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 virtual study days

Next session:

Tue 9th Mar 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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