Teaching Discrete Mathematics 2 (TD2)


Discrete maths features in all AS/A level Further Mathematics specifications, albeit under different titles:

  • Discrete Mathematics - AQA and OCR A
  • Decision Mathematics - Edexcel
  • Modelling with Algorithms - OCR B (MEI)

Teaching Discrete Mathematics 2 (TD2) is a sustained professional development course for teachers wishing to build their confidence in teaching discrete/decision mathematics. TD2 builds upon the topics studied in TD1 to cover the additional subject content required for A level Further Mathematics.

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.

TD2 features:

  • eight live online tutorials
  • two study days
  • access to online teaching and learning resources
  • email support from tutors and access to an online group forum

Towards the end of the course a short assignment is issued, for which support and guidance are provided. Course certificates will be available for those participants completing the assignment.


  • Gain a deep understanding of the application of algorithms to a wide range of problems
  • Develop skills with using standard algorithms to solve optimisation problems
  • Learn project planning processes which minimise overall costs and make the best use of available resources
  • Develop confidence with incorporating practical work within maths teaching
  • Link topics in discrete maths with other areas of maths

Who will benefit from attending?

TD2 is designed for A level Further Mathematics teachers who are new to teaching discrete/decision mathematics, or those that have previously taught D1 and D2 but wish to broaden and deepen their understanding. 

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.


TD2 covers the discrete/decision mathematics content for A level Further Mathematics. This includes the following topics:

  • Graph Theory: Planarity
  • Floyd’s Algorithm
  • Dynamic Programming
  • Linear Programming: Simplex
  • Two-stage Simplex & Big-M method
  • Group Theory
  • Transportation
  • Second Order Recurrence Relations
  • Decision Analysis

These topics appear within the Further Mathematics specifications of the reformed Maths A levels for first teaching from September 2017.

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 a sound understanding of the discrete content of AS level Further Mathematics, ideally through having completed TD1 though this is not complusory. This requires knowledge of subject content beyond the scope of the D1 modules in the legacy specifications.


For TD2 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 TD2 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 9:00am and 1:00pm.

Study day 1

Saturday 27 March 2021

Study day 2

Saturday 15 May 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 (19:00-20:15) Study content
Thursday 4 March 2021 Introductory session
Thursday 11 March 2021 Graph Theory: Planarity
Thursday 25 March 2021 Dynamic Programming
Thursday 22 April 2021 Linear Programming: Simplex 1
Thursday 6 May 2021 Linear Programming: Simplex 2
Thursday 20 May 2021 Transportation
Thursday 10 June 2021 Group Theory
Thursday 24 June 2021 Second Order Recurrence Relations

During July and August you will work toward completing an assignment. The deadline for this assignment is 6 September 2021.

Unit certification: 1 November 2021 (or before)

Participant feedback

I found the course so useful, the online recordings, consolidation exercises, study days and assignments really ensure that you put the effort in.
Very clear with varied explanation and useful tips.
The tutors were very knowledgeable and were able to answer questions in depth.
Loved all of it.

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 TD2 assignment is the only work that delegates hand in. To receive a certificate at the end of your TD2 course you will need to submit and pass the TD2 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:


Event format:

Sustained Professional Development

Event length:

6 months

Study days:


Online sessions:





Online classroom and virtual study days

Next session:

Thu 11th 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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