Removed from ‘What FMSPW does’

Promote Further Maths

Advantages of studying Further Mathematics

Students need to be made aware of the advantages that studying Further Mathematics can give them.

The following are some successful strategies used by schools/colleges to generate interest and enthusiasm, and boost recruitment for Further Mathematics.

  • Displays highlighting careers making use of Mathematics and Further Mathematics. Please see our Careers page for more information.
  • Providing information about degree courses in mathematically-rich subjects where Further Mathematics is essential or highly desirable. Please see our Universities section for more information about entry requirement.
  • Extending and enriching the GCSE Mathematics curriculum. For example, offering Level 3 Additional Mathematics alongside the study of GCSE Mathematics introduces students to more advanced topics and helps to build their confidence and enthusiasm for mathematics.
  • Organising and/or attending enrichment events and activities helps to generate interest in mathematics and provides students with information about careers and progression to university. 

Your local FMSPW Area Coordinator organises enrichment events for students designed to promote the study of Mathematics and Further Mathematics post-GCSE. If your school is registered with the FMSPW then you will receive information about these events. It may also be possible to arrange for someone to come to your school/college to speak to your students. Please contact your local FMSPW Area Coordinator if you would like to discuss this.

Why Offer Further Mathematics?

A level Further Mathematics has consistently been one of the fastest growing A level subjects over the last 11 years.

Further Mathematics is not just for the top A level Mathematics students. AS Further Mathematics is accessible to many students capable of passing A level Mathematics.

There are many very good reasons to offer Further Mathematics.

Supporting A level Mathematics and other subjects
  • Studying Further Mathematics helps students to achieve their best possible A level Mathematics grade, by consolidating and reinforcing their standard A level Mathematics work. 
  • The additional applied units studied by A and AS level Further Mathematics students support the study of other A level. For example, advanced statistical techniques that are used in Geography and Psychology and mechanics topics in Physics.
Progression to university (and beyond)
  • Students taking A or AS Further Mathematics are better prepared for the transition to mathematically-rich university courses.
  • Some leading university courses include Further Mathematics in their offers for places as a requirement, by not offering Further Mathematics you could prevent your students from applying to these courses. Other Universities lower the offer required for students who have studied Further Mathematics. See the Universities section for further details on entry requirements for higher education.
  • Studying AS Further Mathematics in year 13 is an excellent option for students who wish to pursue a degree in a STEM subject. As well as introducing them to new topics that they will find useful for their degree course, it is likely to improve their A level Mathematics grade. 
Supporting more able students
  • Overwhelmingly, students taking Further Mathematics find it to be an enjoyable, rewarding, stimulating and empowering experience.
  • For more able A level Mathematics students it enables them to distinguish themselves as able mathematicians both for university applications and in the employment market.
  • For students who enjoy mathematics, it provides a challenge and a chance to explore new and/or more sophisticated mathematical concepts.
Retaining able students
  • High achieving GCSE students may be tempted to change school/college for their AS/A levels if your school does not offer them the opportunity to study Further Mathematics.
Raising the profile of mathematics in the school/college
  • Offering Further Mathematics raises the profile of Mathematics across all year groups and often has a positive impact on performance in mathematics across the whole school.
  • You may find it easier to attract and retain well-qualified, enthusiastic teachers.
  • Further Mathematics students can be excellent ambassadors for mathematics throughout the school and in some cases act as mentors, supporting younger students.
Case Studies

In 2015 UCL’s Institute of Education undertook research into the wider benefits of introducing A level Further Mathematics. The IoE looked at 4 institutions that had recently established Further Mathematics with support from the FMSPW. The report outlines the factors which were important in the successful implementation of the curriculum changes. The researchers found evidence of changes to teacher identity and confidence, departmental identity and changes pedagogy not just for A level but lower down the school.

Making the Case for Further Mathematics

This information and these resources are provided to support mathematics departments in making the case for A level Further Mathematics provision in their institution.

To Students and their Parents

Studying Further Mathematics: 

  • is likely to increase their enjoyment of mathematics and improve their grade in A level Mathematics;
  • broadens their mathematical skills and promotes deeper mathematical thinking;
  • helps ensure a successful progression to mathematics-based subjects at university;
  • is a requirement for entry to prestigious mathematics-based courses at leading universities and improves their chances of an offer at many others;
  • is a way to make their university application stand out;
  • is not just for students who want to become engineers or physicists.

Any student applying to study a science, technology, engineering, or other mathematics-related degree, such as economics, should consider taking Further Mathematics to at least AS level. AS level in Further Mathematics is accessible to lots of students. The AMSP website has some useful information on careers, degrees and apprenticeships open to students who have studied A/AS level Further Mathematics.

Those students who had studied Further Mathematics to A or AS level standard reported coping better with the mathematical content of the degree, and as such perceived that they required less additional support throughout their studies. Mind the Gap report 2010 – Institute of Physics

To Senior Leaders
  • The number of students taking A level Further Mathematics has increased each year for 13 years;
  • Further Mathematics is one of the facilitating subjects as described by the Russell Group and the DfE;
  • A school/college that does not offer Further Mathematics is restricting the opportunities of some students wishing to apply for Mathematics, Physics and Engineering degrees at more prestigious universities;
  • High achieving GCSE students may move to another school/college in order to study Further Mathematics;
  • Further Mathematics is often taken as a 4th A level subject. 
  • AS Further Mathematics is a useful option and is accessible to most A level Mathematics students;
  • The opportunity to teach Further Mathematics is useful in the recruitment and retention of enthusiastic and well-qualified mathematics teachers;
  • The experience of teachers and the FMSPW in providing tuition to students in Further Mathematics also shows that taking Further Mathematics can have a significant positive impact on A level Mathematics performance;
  • “Students who take both maths and further maths achieve substantially higher grades in their maths than comparable students who take maths alone” is the conclusion of ALIS, the Advanced Level Information System;
Further Mathematics can be provided in cost-effective ways with support from the FMSPW
  • The FMSPW provide free teaching materials through the Integral Online Resources.
  • Schools and colleges can access high-quality, professional learning through the FMSPW to develop A level Mathematics and Further Mathematics teaching and learning. 
  • FMSPW Area Coordinators offer free advice and support to teachers.
  • The FMSPW helps schools and colleges to work together to offer Further Mathematics and provides direct tuition, either face-to-face or online.
Who Should Study Further Mathematics?

Further Mathematics is a suitable course for many more students than just for the top A level Mathematics students.

AS level Further Mathematics is accessible to any student capable of passing A level Mathematics. Any student planning to take a degree with significant mathematical content will benefit enormously from taking AS Further Mathematics. New ideas such as complex numbers and matrices occur in the first year of many undergraduate STEM degree courses. Studying these at A level together with two more applied modules will help students get off to a good start with their degree studies.

In Wales 2017 around 14% of all A level Mathematics students also took A level Further Mathematics. So it is likely that if you have students taking A level Mathematics then a small number of these would also benefit from studying Further Mathematics to at least AS level.

Tuition and Student Support

Further Mathematics is an A-level course valuable to all students planning to study Maths related degrees including Science, Engineering, Technology and Computer Science. It can be taken as a full A-level course over two years alongside the standard A-level Mathematics or studied as an AS subject alongside A2 Mathematics in Year 13. Students must take (and pass) 3 modules to receive an AS qualification and another 2 modules to receive a full A-level qualification. Further Mathematics can form part of a Learning Programme and would therefore be eligible for funding at Post 16. This includes both schools and colleges offering Further Mathematics “in house” or through the Further Maths Support Programme Wales. Information about approved qualifications is available from Qualifications in Wales (QIW) 

FMSPW Tuition cost and funding

A tuition fee per module per student applies to students receiving tuition for Further Mathematics through the Further Maths Support Programme Wales. Tuition fees should be paid by the learner’s host institution or the relevant Local Authority and not the student. Further Maths can attract funding in exactly the same way as AS/A2 qualifications offered “in house”. Students must take (and pass) 3 modules to receive and AS qualification and another 2 modules to receive a full A-Level qualification. You can enrol students to study with the FMSPW for one or more modules depending on whether you can provide some of the modules “in house”. 

Tuition Modules on offer

FM Unit 1; FM Unit 2; FM Unit 3; FM Unit 4; FM Unit 5; FM Unit 6.

Examination board covered is WJEC

Tuition start dates

Autumn term tuition starts in October. Spring term tuition starts in February. Later or earlier starts may be available depending on your circumstances.

Where will tuition take place?

Tuition will be provided either face-to-face at a school/college or through real-time online tutorials and teaching lessons for Further Mathematics. Students log into the online classroom and can interact with FMSPW tutor during the lessons. The lessons are followed up with additional exercises and support from the tutor. Students have access to extensive, purpose-written online resources.

Who will provide students with books and study materials?

Textbooks and study materials will be provided by the FMSPW. Students will also receive free access to on-line Integral resources. 

Is there a minimum number of students needed to be enrolled per school?

No, schools and colleges can enrol as many students as they need.

Is there a minimum number of modules each student should enrol for?

Students must take 3 modules to receive an AS qualification and another 2 modules to receive a full A-level qualification. Schools and colleges can enrol students to study with the FMSPW for one or more modules depending on whether they can provide some of the modules “in house”.

Student Feedback and Case Studies

Feedback from students and schools has been very positive with some students achieving 100% in Further Maths modules. Joseph McCambridge, one of the students who studied a Further Mathematics module online commented: “I really enjoyed the course as I find Maths a very interesting subject and was very glad that I was able to learn more complicated Mathematics from this course. I would highly recommend this course to anyone who is thinking of taking maths on at University.”

“As a school we are very grateful to the FMSPW for the work they have been doing with our students in enabling them to study maths at a further level. The teaching, support and revision work have been very useful and proved successful with an A grade in FP1”, Head of Mathematics, Gowerton Comprehensive. For more case studies from individual students and school please see Case Studies .

What extra support is available?

All students from state-funded schools and colleges in Wales are welcome to attend face-to-face Study Days and Revision sessions organised by the FMSPW throughout the year. Study Days are four hour sessions that cover selected Further Mathematics topics in depth. Revision sessions are three hour sessions to prepare students for exams. Sessions typically take place in Bangor University, Cardiff University, Swansea, Aberystwyth, Wrexham Universities and other locations across Wales. These sessions are based on WJEC materials. Extra online revision materials and videos are also available.

Enrichment

Year 12 and 13 Problem Solving including STEP, AEA and MAT preparation

FMSPW runs courses across Wales to support students who need to take problem solving examinations. To view support for university admissions tests please see the student events page.

Details of events can be found on the student events page. 

Additional ideas and resources for lessons can be found in the Improving Learning in Mathematics: The ‘Standards Unit’ box and the The Shell Centre resources. These are hosted in the STEM e-library and you may need to register with the STEM Centre; this is free.

Enrichment Events

Each year the FMSPW organises enrichment events that are attended by Key Stage 4 and 5 students, these are often at local universities but can also take place in schools and colleges. The events provide a taste of mathematics beyond GCSE and stimulate students’ interest in mathematics. In addition FMSPW Area Coordinators visit and organise events in schools and colleges to promote mathematics, including enrichment experiences and heats of the FMSPW Senior Team Mathematics Challenge.

Details of events will be sent to schools/colleges registered with the FMSPW or please check the student events page for dates of upcoming events.

Professional Learning

Courses 2021

Spring / Summer 2021

Desmos, Reflections on teaching through blended learning, Connections – syllabus links, Introduction to teaching A Level Maths – Resources, Advanced technology course, Proof 

To receive further information about any upcoming courses please contact b.h.denyer@swansea.ac.uk with the name of your school and what day you would prefer to attend.

Mathematics and Further Mathematics Self-Study Professional Learning resources

FMSPW are currently offering FREE self-study Professional Learning resources for the following modules:Unit 1 AS- Mathematics Unit 3 A-level Mathematics Unit 5 Further Mathematics Unit 6 Further Mathematics 

Teachers can choose ONE module of Self-study resources each. Each module comes with extensive valuable resources, including videos and worked-examples, there will be face-to-face zoom sessions with an experienced tutor to support the self study. 

If you are interested in receiving a module of the self-study resources please email b.h.denyer@swansea.ac.uk with your contact information and your school/college name. 

Course Costs

All the professional learning opportunities are free for teachers from state funded schools and colleges. Where teachers attend face-to-face sessions at a University campus a contribution towards supply cover costs are paid for weekday courses at a fixed rate of £100 per person per day