Teaching Discrete Mathematics 1 (TD1)


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 1 (TD1) is a sustained professional development course for teachers wishing to build their confidence in teaching this content, and covers the discrete maths material common to all AS level Further Mathematics specifications.

TD1 consists of:

  • Nine live online tutorials
  • Two compulsory study days
  • Access to course-specific teaching and learning resources on Integral (MEI’s learning platform)
  • 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.

After TD1, participants have the opportunity to continue to TD2, which will further expand understanding of teaching discrete maths content.


  • 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?

TD1 is designed for A level Further Mathematics teachers who are new to teaching discrete/decision mathematics, or those that have previously taught D1 but wish to broaden and deepen their understanding. 

Our sustained courses enable teachers to broaden and deepen their subject, pedagogical and pedagogical content knowledge. This makes teachers 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.


TD1 covers the discrete/decision mathematics content for AS/A level Further Mathematics. This includes the following topics:

  • Graph Theory
  • Algorithms
  • Algorithms on Networks
  • Critical Path Analysis
  • Linear Programming: Graphical
  • Game Theory
  • Allocation
  • First Order Recurrence Relations
  • Binary Operations
  • Mathematical Preliminaries

These topics appear within the Further Mathematics specifications of the current Mathematics A levels.

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 (for 2022-23 this is £200 per study day). Please note that priority areas will be updated for the 2022-23 academic year. If you are offered a place on this course and your school/college qualifies for a subsidy, we will confirm this in September.

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
Good stretch and challenge activities.
I thoroughly enjoyed the course. The passion that all the lecturers have is amazing.

Frequently Asked Questions

There is no requirement that applicants have taught A level Mathematics before undertaking TD1.

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 TD1 assignment is the only work that delegates hand in. To receive a certificate at the end of your TD1 course you will need to submit and pass the TD1 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.

Find a course

Key Facts



Curriculum focus:

A level Further Mathematics

Mathematical focus:


Event format:

Sustained Professional Development

Event length:

6 months

Study days:


Online sessions:



Free for state-funded schools; £300 otherwise

Priority Area subsidy:

2 x £200


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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