LOPD | Higher GCSE topics through mathematical thinking


Course length: One term, weekly sessions

LOPD | Higher GCSE topics through mathematical thinking is a live online professional development course: the synchronous sessions will concentrate on the modelling of subject knowledge delivery including the use of technology. 

We will focus on supporting teachers who are developing their students' mathematical thinking skills, particularly as they introduce higher tier topics that are vital for students who may go on to study Core Maths, AS/A level Mathematics or Further Mathematics.

The course develops strategies and ideas for taking a piece of mathematics and extending it, exploring the connections which deepen understanding and develop fluency, and which can be used immediately in the classroom. There will be opportunities to consider how these concepts and resources could be embedded in professional practice and contribute towards the ambition and intent of the department's curriculum.

Course features:

  • Eight online sessions, approximately weekly, each up to 90 minutes long
  • A year of access to resources and recordings of the live sessions


  • To explore strategies for developing reasoning within a selection of higher maths topics
  • To model structures to support your students in using reasoning within problem solving
  • To exemplify the use of reasoning to develop communication and problem solving skills

Who will benefit from attending?

Teachers who wish to improve their teaching of GCSE maths and/or the skills of their students, especially those hoping to raise student aspiration to study Maths beyond GCSE.

Teachers who have previously participated in our Raising Confidence courses can attend this course without overlap. It is most appropriate for teachers of Higher tier GCSE students. 


  • Sequences
  • Fundamentals of algebra
  • Rearranging formulae
  • Linear equations, graphs and rates of change
  • Quadratic equations, graphs and completing the square
  • Proof (algebraic and geometric)
  • Confidence with fractions and algebraic fractions
  • Trigonometry and the unit circle

Materials and Equipment

You will need access to a good internet connection, using Chrome or Firefox as a browser. You will need a headset with a microphone to engage with the live sessions and most courses also require a means of sharing handwritten maths, such as a mini-whiteboard and webcam, a visualiser or a graphics tablet. Full details of how to set these up can be found on our online classroom support page

Other Information

The list of topics covered and its order may be subject to change.


All teachers are eligible for this course, however free places are available only to teachers in state-funded schools, colleges and academies in England. Applications for free places will be checked to verify eligibility.

Teachers must ensure that they are able to attend the live sessions before applying for a place as our courses are subject to very high demand: please do not apply for a place if you will not be able to attend at least 75% of sessions. Further instances of our courses will be added to meet demand; if you are not able to attend 75% of the sessions in this course, you might like to consider completing our register of interest form (this is NOT an application form) and letting us know when would be better for you.


This course is free of charge to teachers working in state-funded schools, colleges and academies in England, otherwise the fee is £195.

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Key Facts



Curriculum focus:

11-16 maths

Mathematical focus:

Problem solving, Reasoning

Event format:

Live Online Professional Development

Online sessions:



Free for state-funded schools; £195 otherwise


If you have any queries about this event, please do not hesitate to contact:

[email protected]

The AMSP, through MEI, holds the NCETM CPD Standard

National Centre for Excellence in the teaching of Mathematics

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