Further Mathematics Conference 2019 resources

During  Spring term 2019, the AMSP held four one-day professional development and networking conferences, dedicated to the teaching of AS and A level Further Mathematics. It was designed to provide teachers with the opportunities to:

  • experience interesting and stimulating ways of introducing Further Mathematics topics in the classroom.
  • gain support in meeting the challenges of establishing and sustaining AS and A level Further Mathematics.
  • network and share ideas with fellow teachers

The table below summarises the sessions that were run and includes the respective session resources for download. 

Title Description Materials
Opening plenary Support offered by the AMSP  DownloadOpens a new window
The importance of Further Mathematics University perspective (Charlotte Kestner, Imperial)  DownloadOpens a new window
The importance of Further Mathematics University perspective (Rachel Bearon, University of Liverpool)  DownloadOpens a new window
The importance of Further Mathematics University perspective (Artie Prendergast-Smith, University of Loughborough)  DownloadOpens a new window
Setting up FM provision This is aimed at schools/colleges who are offering Further Mathematics for the first time either this year or next year. The focus will be on strategies for how to offer FM, including suggestions for promoting FM, timetabling, resources and professional development.  DownloadOpens a new window
Sustaining FM provision This is aimed at schools/colleges who already offer Further Mathematics but have small cohorts or fragile provision. The focus will be on strategies for maintaining provision including suggestions for increasing FM numbers, resources and professional development.  DownloadOpens a new window
Linking complex numbers and matrices (Pure) In this session we will explore and discuss the interconnectedness of two fundamental topics that students meet when studying AS Further Mathematics. We will look at activities that both new and experienced teachers can use in the classroom for these topics.  DownloadOpens a new window
Ideas for teaching differential equations (Pure) Solving differential equations, and using them for modelling in kinematics and other contexts, is a key topic in A level Further Mathematics. Interesting applications such as motion with air resistance, resonance and predator-prey models can arouse curiosity and motivate classroom discussion. In this session we’ll explore some applications involving simple practical examples and through the use of technology.  DownloadOpens a new window
Vectors (Pure) Vector geometry was formerly in FP3 but now is part of the compulsory content of the new A level Further Mathematics specs. Using only scalar product as a basic tool, this session will cover problems involving intersection, distances and angles between lines and planes. We will also discuss the use of props and technology to support teaching and learning.  DownloadOpens a new window
Investigating numerical methods with spreadsheets (Pure) The numerical methods for solving differential equations and integrating using Simpson’s rule appear in different places in the Further Mathematics specifications. In this session we will explore using spreadsheets to investigate them.  DownloadOpens a new window
Groups (Pure) This topic is included in Further Mathematics specifications because it serves as an introduction to undergraduate maths – it provides a playground for proof, makes links between different parts of maths and introduces some key concepts. We shall look at some examples of groups as well as the key idea that makes this such a powerful and exciting topic – isomorphism.  DownloadOpens a new window
Planarity (Discrete Maths) A planar graph is one which can be drawn on a plane surface without any edges meeting except at a vertex. This session will present an overview of several topics related to planarity; complete graphs, the planarity algorithm, Kuratowski’s theorem and thickness.  DownloadOpens a new window
Floyd’s Algorithm (Discrete Maths) A very common real life question is “What is the shortest path from A to B?”. Whilst Dijkstra’s algorithm answers this question for one pair of vertices, Floyd’s algorithm finds the shortest distance and associated route for every pair of vertices in a network. As well as looking at the algorithm in detail, this session will review some differences in in how it has been presented in recent published materials.  DownloadOpens a new window
Work and energy (Mechanics) ‘Work and energy’ is a crucial topic in all Further Mathematics mechanics specifications. In this session we’ll look at how this begins with some basic principles and can be developed to shed light on a range of problems from bungee jumpers, to loop-the-loop rides, to bouncing balls. There’ll be a focus on using simple equipment to develop understanding and test ideas. Knowledge of the mechanics content of A level Mathematics will be assumed.  DownloadOpens a new window
Further probability distributions (Statistics) This session will look at the properties of the Geometric, Negative Binomial and Exponential distributions; their relationship to other distributions; ideas for introducing them in the classroom and the use of spreadsheets in simulating observations from them.  DownloadOpens a new window
Problem Solving in Further Mathematics In this session we will demonstrate how some short but rich problem solving activities can be easily incorporated into teaching Further Pure Mathematics and identify some of the key teaching skills required to do this. The session will focus on matrices but include reference to sources that cover the full range of topics for Further Pure Mathematics.  DownloadOpens a new window
Use of GeoGebra in Further Mathematics This session will look at ideas for integrating GeoGebra into the teaching of complex numbers, matrices, vectors, differential equations and polar coordinates. There will be an opportunity explore files for use when teaching and as well as some student activities. Delegates are requested to bring a laptop, tablet or smartphone with GeoGebra installed to the session.  DownloadOpens a new window
Teaching matrices with GeoGebra This session will look at using GeoGebra to explore matrices and transformations in 2D and 3D, extending to the application of matrices to explore intersecting planes. Delegates are requested to bring a laptop or tablet with GeoGebra installed to the session.  DownloadOpens a new window