Teaching Further Mathematics (TFM)

Teaching Further Mathematics (TFM) is a professional development course for teachers wishing to develop their own subject knowledge and classroom practice in teaching A level Further Mathematics. The TFM course covers material from all Further Mathematics specifications.

    The course aims to enable participants to:
  • 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;
  • expand their mathematical horizons and explore links within mathematics.

Sustained Professional Development

TFM is an interactive course which comprises dedicated web-based learning resources, scheduled live online tutorials and face-to-face study days.

The course consists of two units:
Teaching Further Mathematics 1 (TFM 1)
Teaching Further Mathematics 2 (TFM 2)

Each unit is scheduled over a 7 month period. TFM1 is a pre-requisite for TFM2. After completing TFM1 delegates have to option to continue with TFM2 and complete the whole course. Alternatively, delegates can just study TFM1 and gain certification for TFM1 only.

    TFM can be studied in two ways:
  • as a Mathematics in Education and Industry (MEI) certificated professional development course;
  • as part of a Postgraduate Certificate in Post 16 Mathematics Education (PGCertP-16ME), which carries 60 CAT points at Masters level, through the University of Plymouth.
  • The PGCertP-16ME is a qualification in its own right and after gaining credits, participants can continue their studies by transferring these credits into the MEd programme to complete a full Masters in Education. This link will take you to a document giving details of the Postgraduate Certificate and the Masters programme.


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

    You may be:
  • 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 an extensive professional development course to prepare for future employment;
  • seeking to gain a qualification that will give you more options in the future;
  • wanting to develop your own subject knowledge to enable you to confidently and competently teach A level Further Mathematics;
  • a teacher who has completed the Teaching Advanced Mathematics (TAM) course;
  • a teacher who wishes to study some Further Pure mathematics after completing Teaching Mechanics or Teaching Statistics;
  • a teacher who wishes to embark on Masters level study of Mathematics Education.

Course Dates and Application

TFM 1 is next scheduled from July 2016 to January 2017
TFM 2 is scheduled from February to August 2017

TFM 1 (starting in July 2016) is now open for applications.
To request a place, please submit an online application form

Applications should be submitted preferably before the end of May 2016.

Frequently asked questions
Stages in the application process
Online tutorials for TFM
Please visit the information page of the Integral website and select the CPD course resources button. From the drop down menu, select Sample CPD and then select Sample 'Teaching Further Mathematics' resources

Please contact Sharon Tripconey, TFM Course Leader, if you have any queries about the TFM course.

Quotes from TFM course participants

“TFM is the single most inspiring thing that’s having biggest impact upon my teaching this year.”

“I will be using my learning from this course next year when I am establishing a Further Maths course. TFM has been instrumental in me being able to do this.”

".... made things clear and inspired further thought”

"Actually made me think about how to deliver a subject rather than just teach from the book"

".. it was nice to spend a day on maths with like-minded people"

"The course was fantastic and I have used so many of the resources"

"This has been the best Maths experience in 20 years."