Teaching Further Mathematics 1 (TFM1)

Online and London, Leeds, or Coventry


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.


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

Who will benefit from attending?

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

  • an experienced teacher of A level Mathematics who wishes to learn more about teaching A level Further Mathematics
  • an individual, currently not teaching in a school, who wishes to undertake a sustained professional development course to prepare for future employment
  • a teacher seeking to gain certification that may give them more options in the future
  • a teacher wanting to develop their own subject knowledge to enable them to confidently and competently teach A level Further Mathematics
  • a teacher who has completed the Teaching A level Mathematics (TAM) course, a Teaching Mechanics (TM1 & TM2) course, a Teaching Statistics (TS1 & TS2) course or a Teaching Discrete Mathematics (TD1 & TD2) course


TFM1 covers the pure material common to all AS level Further Mathematics specifications and more:

  • Matrices
  • Complex numbers
  • Roots of polynomial equations
  • Summations and series
  • Proof by induction
  • Vector geometry
  • Maclaurin series
  • Calculus
  • Hyperbolic functions

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.


The course fee for TFM1 is £300.

If you are working in a state-funded school or college, participation in this course attracts a reimbursement of course fees, subject to engagement and completion of the course.

Schools and colleges located within Priority Areas are eligible to receive a further subsidy of £500 to support staff cover and travel costs.

Study Schedule

Online sessions:
Week beginningStudy contentEvening online tutorials (19:30-20:30)
 Course unit introductionMonday 7 January 2019
7 JanuaryMatrices 1 
14 JanuaryMatrices 1Thursday 17 January 2019
21 JanuaryMatrices 1 
28 JanuaryComplex numbers 1 
4 FebruaryComplex numbers 1Thursday 7 February 2019
11 FebruaryComplex numbers 1 
18 FebruaryRoots of polynomialsThursday 21 February 2019
25 FebruaryRoots of polynomials 
4 MarchSeries of induction 
11 MarchSeries of inductionThursday 14 March 2019
18 MarchSeries of induction 
25 MarchVectors 
1 AprilBreak 
8 AprilBreak 
15 AprilVectorsThursday 18 April 2019
22 AprilVectors 
29 AprilMatrices 2Thursday 2 May 2019
6 MayMatrices 2 
13 MayMaclaurin seriesThursday 16 May 2019
20 MayMaclaurin series 
27 MayComplex numbers 2 
3 JuneComplex numbers 2Thursday 6 June 2019
10 JuneComplex numbers 2 
17 JuneFurther calculusThursday 20 June 2019
24 JuneFurther calculus 
1 JulyFurther calculus 
8 JulyHyperbolic functions 
15 JulyHyperbolic functionsThursday 18 July 2019
22 JulyHyperbolic functions 
Study day 1:

Wednesday 20 March 2019


Thursday 21 March 2019


Saturday 23 March 2019

Study day 2:

Saturday 6 July 2019


Wednesday 10 July 2019


Thursday 11 July 2019


During July and August you will work toward completing an assignment. The deadline for this assignment is 31 August 2019.

Unit certification: 31 October 2019 (or before)

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.

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.

Teachers working at state-funded schools or colleges need to demonstrate that they have engaged with the course unit to trigger a course fee subsidy at the end of the course. If you have missed either study day you may be required to submit the TFM1 assignment in order to qualify for the course fee reimbursement whether or not you wish to certify.

An invoice for course unit fees is issued after enrolment at the start of the course unit. Invoices are issued no later than one month after a delegate has started their course.

The AMSP is supported by the Department for Education and therefore only course fees for teachers working in state-funded schools and colleges in England are eligible for a subsidy. If the course fee is paid by the applicant's school or college then the same school or college will receive the subsidy when the course is completed by the applicant.

Yes, you may choose to pay your own course fee. Applicants who are teachers working in state-funded schools and colleges in England are eligible to receive a reimbursement of the course fee where they have paid the course fee directly. It is a requirement that the applicant submits an email address that has been issued by the state-funded school or college where they are employed and that the applicants email address is substantiated.

Teachers on the course enjoy the study days and appreciate the chance to meet up with other teachers on the course. Study day materials are shared with all course delegates afterwards. If you are a teacher working at a state-funded school or college then to be eligible for a course subsidy you will need to demonstrate that you have engaged with the course, which includes the expectation that you will attend the face-to-face study days.

If you are unable to attend a study day and this is due to unforeseen or special circumstances then the course fee reimbursement may still be granted at the discretion of the course leader. You may be required to submit the TFM1 assignment as additional evidence of engagement with the course. If you pass the end of unit assignment, you will still be eligible for a TFM1 course certificate.

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 Coventry, London or Leeds

Start date:

Mon 7th Jan 2019



State-sector subsidy:


Priority Area subsidy:



Printable Version


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

CPD 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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